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        "                  available                                                                                        \n",
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For example, you can loop over all point sources and print their position:" @@ -131,13 +131,13 @@ { "cell_type": "code", "execution_count": 4, - "id": "717cdc4d", + "id": "2fc04bc4", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:50:03.533669Z", - "iopub.status.busy": "2024-09-10T13:50:03.533565Z", - "iopub.status.idle": "2024-09-10T13:50:03.535889Z", - "shell.execute_reply": "2024-09-10T13:50:03.535510Z" + "iopub.execute_input": "2024-09-10T14:13:40.124710Z", + "iopub.status.busy": "2024-09-10T14:13:40.124608Z", + "iopub.status.idle": "2024-09-10T14:13:40.132882Z", + "shell.execute_reply": "2024-09-10T14:13:40.132546Z" } }, "outputs": [ @@ -158,7 +158,7 @@ }, { "cell_type": "markdown", - "id": "ef4fd8f1", + "id": "d9fa99e0", "metadata": {}, "source": [ "## Accessing components and spectral shapes with no previous information\n", @@ -169,13 +169,13 @@ { "cell_type": "code", "execution_count": 5, - "id": "320cca32", + "id": "1064474b", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:50:03.537843Z", - "iopub.status.busy": "2024-09-10T13:50:03.537705Z", - "iopub.status.idle": "2024-09-10T13:50:03.539727Z", - "shell.execute_reply": "2024-09-10T13:50:03.539371Z" + "iopub.execute_input": "2024-09-10T14:13:40.134757Z", + "iopub.status.busy": "2024-09-10T14:13:40.134664Z", + "iopub.status.idle": "2024-09-10T14:13:40.136773Z", + "shell.execute_reply": "2024-09-10T14:13:40.136286Z" } }, "outputs": [ @@ -194,7 +194,7 @@ }, { "cell_type": "markdown", - "id": "7bf449ae", + "id": "7974d20b", "metadata": {}, "source": [ "So now we can loop over all the sources and print their components:" @@ -203,13 +203,13 @@ { "cell_type": "code", "execution_count": 6, - "id": "309b722c", + "id": "73fb22e3", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:50:03.541863Z", - "iopub.status.busy": "2024-09-10T13:50:03.541733Z", - "iopub.status.idle": "2024-09-10T13:50:03.549698Z", - "shell.execute_reply": "2024-09-10T13:50:03.549356Z" + "iopub.execute_input": "2024-09-10T14:13:40.138663Z", + "iopub.status.busy": "2024-09-10T14:13:40.138570Z", + "iopub.status.idle": "2024-09-10T14:13:40.146779Z", + "shell.execute_reply": "2024-09-10T14:13:40.146382Z" } }, "outputs": [ @@ -230,7 +230,7 @@ }, { "cell_type": "markdown", - "id": "b640a2ca", + "id": "dec50895", "metadata": {}, "source": [ "With a fully-qualified path, you would need to know the name of the function to access its parameters. Instead, you can use the generic name “shape”. For example these two statements point to the same function instance:" @@ -239,13 +239,13 @@ { "cell_type": "code", "execution_count": 7, - "id": "d2b76399", + "id": "af50e70b", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:50:03.551508Z", - "iopub.status.busy": "2024-09-10T13:50:03.551415Z", - "iopub.status.idle": "2024-09-10T13:50:03.560346Z", - "shell.execute_reply": "2024-09-10T13:50:03.559968Z" + "iopub.execute_input": "2024-09-10T14:13:40.148772Z", + "iopub.status.busy": "2024-09-10T14:13:40.148667Z", + "iopub.status.idle": "2024-09-10T14:13:40.155814Z", + "shell.execute_reply": "2024-09-10T14:13:40.155432Z" } }, "outputs": [ @@ -266,7 +266,7 @@ }, { "cell_type": "markdown", - "id": "2795dac1", + "id": "8f7b7ee4", "metadata": {}, "source": [ "Once you have a function instance, you can obtain a dictionary of its parameters as:" @@ -275,13 +275,13 @@ { "cell_type": "code", "execution_count": 8, - "id": "ca1da1a6", + "id": "68b6471b", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:50:03.562256Z", - "iopub.status.busy": "2024-09-10T13:50:03.562157Z", - "iopub.status.idle": "2024-09-10T13:50:03.564266Z", - "shell.execute_reply": "2024-09-10T13:50:03.563861Z" + "iopub.execute_input": "2024-09-10T14:13:40.157754Z", + "iopub.status.busy": "2024-09-10T14:13:40.157659Z", + "iopub.status.idle": "2024-09-10T14:13:40.165876Z", + "shell.execute_reply": "2024-09-10T14:13:40.165510Z" } }, "outputs": [ @@ -300,7 +300,7 @@ }, { "cell_type": "markdown", - "id": "859594a4", + "id": "2ee03e9d", "metadata": {}, "source": [ "Putting it all together, let’s loop over all sources in our model, then over each component in each source, then over each parameter in each component:" @@ -309,13 +309,13 @@ { "cell_type": "code", "execution_count": 9, - "id": "c1e2dc7b", + "id": "d09653f9", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:50:03.566119Z", - "iopub.status.busy": "2024-09-10T13:50:03.566017Z", - "iopub.status.idle": "2024-09-10T13:50:03.574622Z", - "shell.execute_reply": "2024-09-10T13:50:03.574231Z" + "iopub.execute_input": "2024-09-10T14:13:40.167760Z", + "iopub.status.busy": "2024-09-10T14:13:40.167660Z", + "iopub.status.idle": "2024-09-10T14:13:40.170522Z", + "shell.execute_reply": "2024-09-10T14:13:40.170166Z" } }, "outputs": [ @@ -360,7 +360,7 @@ }, { "cell_type": "markdown", - "id": "4b3c738c", + "id": "f3fb2c69", "metadata": {}, "source": [ "Let’s now plot the differential flux between 1 and 100 keV of all components from all sources:\n", @@ -370,13 +370,13 @@ { "cell_type": "code", "execution_count": 10, - "id": "a67f7bff", + "id": "d05e8b84", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:50:03.576517Z", - "iopub.status.busy": "2024-09-10T13:50:03.576419Z", - "iopub.status.idle": "2024-09-10T13:50:13.221734Z", - "shell.execute_reply": "2024-09-10T13:50:13.221253Z" + "iopub.execute_input": "2024-09-10T14:13:40.172468Z", + "iopub.status.busy": "2024-09-10T14:13:40.172338Z", + "iopub.status.idle": "2024-09-10T14:13:50.183889Z", + "shell.execute_reply": "2024-09-10T14:13:50.183462Z" } }, "outputs": [ @@ -445,7 +445,7 @@ }, { "cell_type": "markdown", - "id": "8b190624", + "id": "0c5343aa", "metadata": {}, "source": [ "## Getting the path of an element and using it programmatically\n", @@ -456,13 +456,13 @@ { "cell_type": "code", "execution_count": 11, - "id": "65cf8c8c", + "id": "9426ce25", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:50:13.223840Z", - "iopub.status.busy": "2024-09-10T13:50:13.223665Z", - "iopub.status.idle": "2024-09-10T13:50:13.226329Z", - "shell.execute_reply": "2024-09-10T13:50:13.225952Z" + "iopub.execute_input": "2024-09-10T14:13:50.186124Z", + "iopub.status.busy": "2024-09-10T14:13:50.185965Z", + "iopub.status.idle": "2024-09-10T14:13:50.194523Z", + "shell.execute_reply": "2024-09-10T14:13:50.194139Z" } }, "outputs": [ @@ -494,7 +494,7 @@ }, { "cell_type": "markdown", - "id": "8e74ddbd", + "id": "c7ccfd6d", "metadata": {}, "source": [ "If you have a path of an element in a string, you can use it to access the element by using the [] operator of the Model class like this:" @@ -503,13 +503,13 @@ { "cell_type": "code", "execution_count": 12, - "id": "11c3e717", + "id": "8ec25557", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:50:13.228548Z", - "iopub.status.busy": "2024-09-10T13:50:13.228380Z", - "iopub.status.idle": "2024-09-10T13:50:13.235555Z", - "shell.execute_reply": "2024-09-10T13:50:13.235120Z" + "iopub.execute_input": "2024-09-10T14:13:50.196531Z", + "iopub.status.busy": "2024-09-10T14:13:50.196425Z", + "iopub.status.idle": "2024-09-10T14:13:50.204192Z", + "shell.execute_reply": "2024-09-10T14:13:50.203813Z" } }, "outputs": [ @@ -532,7 +532,7 @@ }, { "cell_type": "markdown", - "id": "6e3b77ed", + "id": "5839fa4b", "metadata": {}, "source": [ "## Alternative way of accessing the information in the model\n", @@ -543,13 +543,13 @@ { "cell_type": "code", "execution_count": 13, - "id": "56973267", + "id": "d9bf546a", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:50:13.237531Z", - "iopub.status.busy": "2024-09-10T13:50:13.237427Z", - "iopub.status.idle": "2024-09-10T13:50:13.246506Z", - "shell.execute_reply": "2024-09-10T13:50:13.246148Z" + "iopub.execute_input": "2024-09-10T14:13:50.206127Z", + "iopub.status.busy": "2024-09-10T14:13:50.206031Z", + "iopub.status.idle": "2024-09-10T14:13:50.208693Z", + "shell.execute_reply": "2024-09-10T14:13:50.208335Z" } }, "outputs": [ @@ -584,7 +584,7 @@ }, { "cell_type": "markdown", - "id": "a3006aa6", + "id": "78922fa6", "metadata": {}, "source": [ "Once you have the ID of a source, you can obtain information about it with these methods of the Model class:" @@ -593,13 +593,13 @@ { "cell_type": "code", "execution_count": 14, - "id": "7460059e", + "id": "8d5e61e0", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:50:13.248420Z", - "iopub.status.busy": "2024-09-10T13:50:13.248324Z", - "iopub.status.idle": "2024-09-10T13:50:13.256178Z", - "shell.execute_reply": "2024-09-10T13:50:13.255800Z" + "iopub.execute_input": "2024-09-10T14:13:50.210639Z", + "iopub.status.busy": "2024-09-10T14:13:50.210511Z", + "iopub.status.idle": "2024-09-10T14:13:50.216950Z", + "shell.execute_reply": "2024-09-10T14:13:50.216558Z" } }, "outputs": [], @@ -620,7 +620,7 @@ }, { "cell_type": "markdown", - "id": "a222d021", + "id": "4f220653", "metadata": {}, "source": [ "Depending on your application you might find these methods more convenient that interrogating the sources directly. Note however that some features are not available through this interface. For example, it is not possible to get information about different components through these methods." @@ -629,7 +629,7 @@ { "cell_type": "code", "execution_count": null, - "id": "63756d47", + "id": "5f6d9803", "metadata": {}, "outputs": [], "source": [] diff --git a/_sources/notebooks/Asymm_Gaussian_on_sphere.ipynb.txt b/_sources/notebooks/Asymm_Gaussian_on_sphere.ipynb.txt index c4022f2f..090ed8c0 100644 --- a/_sources/notebooks/Asymm_Gaussian_on_sphere.ipynb.txt +++ b/_sources/notebooks/Asymm_Gaussian_on_sphere.ipynb.txt @@ -2,13 +2,13 @@ "cells": [ { "cell_type": "markdown", - "id": "85a1b46e", + "id": "f6a1c2dd", "metadata": { "papermill": { - "duration": 0.007419, - "end_time": "2024-09-10T13:53:02.567042", + "duration": 0.003241, + "end_time": "2024-09-10T14:16:44.211729", "exception": false, - "start_time": "2024-09-10T13:53:02.559623", + "start_time": "2024-09-10T14:16:44.208488", "status": "completed" }, "tags": [] @@ -20,20 +20,20 @@ { "cell_type": "code", "execution_count": 1, - "id": "cb8b2ed1", + "id": "216e0cba", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:53:02.579465Z", - "iopub.status.busy": "2024-09-10T13:53:02.578580Z", - "iopub.status.idle": "2024-09-10T13:53:04.185383Z", - "shell.execute_reply": "2024-09-10T13:53:04.184844Z" + "iopub.execute_input": "2024-09-10T14:16:44.218195Z", + "iopub.status.busy": "2024-09-10T14:16:44.217649Z", + "iopub.status.idle": "2024-09-10T14:16:45.736642Z", + "shell.execute_reply": "2024-09-10T14:16:45.736113Z" }, "nbsphinx": "hidden", "papermill": { - "duration": 1.614586, - "end_time": "2024-09-10T13:53:04.187012", + "duration": 1.523848, + "end_time": "2024-09-10T14:16:45.738090", "exception": false, - "start_time": "2024-09-10T13:53:02.572426", + "start_time": "2024-09-10T14:16:44.214242", "status": "completed" }, "tags": [] @@ -68,20 +68,20 @@ { "cell_type": "code", "execution_count": 2, - "id": "fb633d5e", + "id": "4fa0c57c", "metadata": { "execution": { - "iopub.execute_input": 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", 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", 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4.59531, + "end_time": "2024-09-10T14:16:11.105481", "environment_variables": {}, "exception": null, "input_path": "Broken_powerlaw.ipynb", @@ -634,7 +634,7 @@ "x_scale": "log", "y_scale": "log" }, - "start_time": "2024-09-10T13:52:32.501733", + "start_time": "2024-09-10T14:16:06.510171", "version": "2.6.0" } }, diff --git a/_sources/notebooks/Cauchy.ipynb.txt b/_sources/notebooks/Cauchy.ipynb.txt index 20a9b77f..fbce39d0 100644 --- a/_sources/notebooks/Cauchy.ipynb.txt +++ b/_sources/notebooks/Cauchy.ipynb.txt @@ -2,13 +2,13 @@ "cells": [ { "cell_type": "markdown", - "id": "7d3c72ce", + "id": "eb8b01b5", "metadata": { "papermill": { - "duration": 0.004954, - "end_time": "2024-09-10T13:53:19.158279", + "duration": 0.005284, + "end_time": "2024-09-10T14:17:01.215107", "exception": false, - "start_time": "2024-09-10T13:53:19.153325", + "start_time": "2024-09-10T14:17:01.209823", "status": "completed" }, "tags": [] @@ -20,20 +20,20 @@ { "cell_type": "code", "execution_count": 1, - "id": 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BAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKVfcg3LRpU+bMmZMJEyakra0t8+fPT0dHR5KkqqrcdtttmT59eiZOnJhLL70027Zt6/P85cuX59RTT82ECRMye/bsPP/8833mK1asyCc+8YmMHz8+n/70p7N27doDdWoAAAD9Wl2DsKqqXHLJJenp6ck999yTW265JU8//XTmz5+fJFm2bFkeeOCBLFq0KPfee2927dqVSy65pPb8FStW5Oabb868efPy4IMPZvjw4ZkzZ0527dqVJFm7dm0uv/zyfPazn81DDz2UyZMn56KLLsqWLVvqcr4AAAD9SV2D8JlnnslPf/rTLF68OBMmTMi0adPypS99KatWrcquXbty991357LLLsusWbNy0kknZdGiRVm3bl2eeeaZJL8IxvPPPz9nn312xo4dm4ULF2b79u157LHHkiR33313Pvaxj+WCCy7I6NGj86UvfSmHH354/vZv/7aOZw0AANA/1DUIu7q6cvLJJ2fUqFG1tYMOOii9vb1Zv359tm3blhkzZtRmzc3NGTlyZFavXp3Ozs6sX7++z3zIkCFpaWnJ6tWrkyRr1qzpMx8wYEBaW1trcwAAgJINqucPnzZtWqZNm1b7+/bt2/PVr341ra2teeWVVzJw4MCMGDGiz3OGDx+ejo6OvPDCC+nt7e0Tk/9+3tnZmZdffvmXzn/yk5+8eycFAADwHlHXIPz3zjnnnPz4xz/OQQcdlK985SvZunVrBg8enIED+97EbGhoSFdXV7q6upL84q7gf5x3dHS85fyN2b5oa2vb62zevHk57rjj9vnYAAAAB1Ldv2X0DUuXLs29996b0047LXPnzs2rr76a7u7u9Pb29nlcd3d3Ghsb09jYmCTZuXNnn3lPT08aGxtz2GGHveUcAACgdHW9Q/jss8+mq6srkydPzqhRozJq1KicfPLJmTx5cjo7O1NVVTZv3pzm5ubaczZv3pzTTz89w4YNS5K0t7dn5MiRtXl7e3tOOOGENDQ05NBDD017e3ufn9ne3t7neL+uxx9/fK+zDRs2vKO7jwAAAAdSXe8Qfve7383//J//M1VV1db27NmT3t7eHHvssRk2bFhWrlxZm23atCkbN25MW1tbDj/88LS0tPQJtM7Ozqxbt672ts4ZM2b0mb/++utZvXr1W77tEwAAoBR1vUN45pln5s4778y1116bT33qU9m9e3fuuuuu/Kf/9J/S1taWc889N0uXLk1TU1OGDBmSxYsXZ+bMmTnmmGOSJOedd14WLlyYMWPG5Kijjsrtt9+eY489NlOnTq3NZ8+enUmTJmXcuHG55557snv37pxxxhn1PG0AAIB+oa5BeMwxx2TZsmW59dZbM3v27DQ0NGTy5Mm55557MnTo0MydOzc7d+7M/Pnzs3v37sycOTMLFiyoPf/ss8/O9u3bs2TJkrz66quZMmVK7rzzztoX0bS2tmbx4sW54447smXLlrS0tORrX/tahg4dWqczBgAA6D8GVP/+/Zq8I298hnDo0KEZO3ZsvbfznjXzhbv36XnfG/n5/bwTAAB47/l1uqTffMsoAAAAB5YgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKNSgX/WBn/vc537lgw4YMCBf//rX92lDAAAAHBi/chDu3r07AwYMeMvHbN68OT/72c/e9nEAAADU368chA888MBeZ6+//nqWLVuWv/zLv8wRRxyRK6+8cr9sDgAAgHfPrxyEe/P000/n2muvzU9/+tOceeaZueqqq3LEEUfsj70BAADwLtrnIOzs7Myf/dmf5cEHH0xzc3O++tWvZvr06ftzbwAAALyL9ikIH3nkkdx4443p6OjIBRdckHnz5mXIkCH7e28AAAC8i36tIGxvb8/ChQvz2GOP5YQTTshf/dVf5cQTT3y39gYAAMC76FcOwrvvvjt33HFHqqrK/PnzM3v27Awc6NcYAgAAvFf9ykH4J3/yJxkwYECam5vz3e9+N9/97nf3+tgBAwbkvvvu2y8bBAAA4N3xKwdha2vru7kPAAAADrBfOQjvvffed3MfAAAAHGA+BAgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFCougdhR0dHvvjFL6a1tTUtLS05//zz8+yzzyZJqqrKbbfdlunTp2fixIm59NJLs23btj7PX758eU499dRMmDAhs2fPzvPPP99nvmLFinziE5/I+PHj8+lPfzpr1649UKcGAADQr9U9COfNm5d//dd/zf/+3/879913XxobG/OFL3whO3fuzLJly/LAAw9k0aJFuffee7Nr165ccsklteeuWLEiN998c+bNm5cHH3www4cPz5w5c7Jr164kydq1a3P55Zfns5/9bB566KFMnjw5F110UbZs2VKv0wUAAOg36hqEzz//fJ544oksWrQoU6ZMSUtLS2655Za8/PLLefTRR3P33Xfnsssuy6xZs3LSSSdl0aJFWbduXZ555pkkybJly3L++efn7LPPztixY7Nw4cJs3749jz32WJLk7rvvzsc+9rFccMEFGT16dL70pS/l8MMPz9/+7d/W8awBAAD6h7oG4UsvvZThw4fn+OOPr60NHTo0hxxySF588cVs27YtM2bMqM2am5szcuTIrF69Op2dnVm/fn2f+ZAhQ9LS0pLVq1cnSdasWdNnPmDAgLS2ttbmAAAAJatrEE6dOjU//OEPM3jw4Nra3//932fHjh0ZPXp0Bg4cmBEjRvR5zvDhw9PR0ZEXXnghvb29GTVq1C+dd3Z25uWXX97rHAAAoHSD6r2BN+zZsyfLli3LHXfckdNOOy1dXV0ZPHhwBg7s26wNDQ3p6upKV1dXkl/cFfyP846OjrecvzHbF21tbXudzZs3L8cdd9w+HxsAAOBAqvuXyiTJ+vXr87u/+7u57bbbMnv27Pz5n/95Ghsb093dnd7e3j6P7e7uTmNjYxobG5MkO3fu7DPv6elJY2NjDjvssLecAwAAlK7udwi///3vZ968eTn++OPzzW9+M2PHjk2SNDU1paqqbN68Oc3NzbXHb968OaeffnqGDRuWJGlvb8/IkSNr8/b29pxwwglpaGjIoYcemvb29j4/r729vc/xfl2PP/74XmcbNmx4R3cfAQAADqS63iHs7OzMlVdemVmzZmX58uW1GEySsWPHZtiwYVm5cmVtbdOmTdm4cWPa2tpy+OGHp6WlpU+gdXZ2Zt26dbW3dc6YMaPP/PXXX8/q1avf8m2fAAAApajrHcJVq1alq6srF110UV588cU+sw9+8IM599xzs3Tp0jQ1NWXIkCFZvHhxZs6cmWOOOSZJct5552XhwoUZM2ZMjjrqqNx+++059thjM3Xq1Np89uzZmTRpUsaNG5d77rknu3fvzhlnnHHAzxUAAKC/qWsQbty4Mbt3785//+///U2zSy+9NJdcckl27tyZ+fPnZ/fu3Zk5c2YWLFhQe8zZZ5+d7du3Z8mSJXn11VczZcqU3HnnnbUvomltbc3ixYtzxx13ZMuWLWlpacnXvva1DB069ECdIgAAQL81oKqqqt6beL944zOEQ4cO7fP2V349M1+4e5+e972Rn9/POwEAgPeeX6dL+sW3jAIAAHDgCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBC9Zsg3L59e0444YRs3769ttbT05PrrrsuU6ZMSWtra66++up0dXXV5lVV5bbbbsv06dMzceLEXHrppdm2bVuf4y5fvjynnnpqJkyYkNmzZ+f5558/YOcEAADQn/WLINyyZUtuvPHGvP76633WlyxZklWrVmXp0qW56667smHDhlxzzTW1+bJly/LAAw9k0aJFuffee7Nr165ccskltfmKFSty8803Z968eXnwwQczfPjwzJkzJ7t27Tpg5wYAANBf1T0I/9f/+l+ZMWNG/u7v/q7P+o4dO/LQQw/lj//4jzNt2rRMnDgxV111VR555JF0dHSkqqrcfffdueyyyzJr1qycdNJJWbRoUdatW5dnnnkmyS+C8fzzz8/ZZ5+dsWPHZuHChdm+fXsee+yxOpwpAABA/1L3IJw7d24efvjh3HDDDX3Wn3rqqSTJtGnTamvjx4/PoEGDsmbNmjz33HPZtm1bZsyYUZs3Nzdn5MiRWb16dTo7O7N+/fo+8yFDhqSlpSWrV69+l88KAACg/xtU7w00Nzenubk5O3bs6LO+cePGNDU1ZfDgwbW1wYMH58gjj0xHR0cOPvjgDBw4MCNGjOjzvOHDh6ejoyMvvPBCent7M2rUqF86BwAAKF3dg3Bvurq6MmTIkDetNzQ0pKurK11dXRk8eHAGDhy413mSNx2joaHhHQVhW1vbXmfz5s3Lcccdt8/HBgAAOJDq/pbRvWlsbPylX/7S3d2dxsbGNDY2pru7O729vXudJ8nOnTv7zHt6emozAACAkvXbO4RNTU3ZunVrenp6am8b3bNnT7Zu3ZoRI0Zk2LBhqaoqmzdvTnNzc+15mzdvzumnn55hw4YlSdrb2zNy5MjavL29PSeccMI+7+vxxx/f62zDhg19fi0GAABAf9Zv7xBOmTIlVVXlySefrK098cQTqaoqra2tGTt2bIYNG5aVK1fW5ps2bcrGjRvT1taWww8/PC0tLX0CrrOzM+vWrXvLt30CAACUot/eIWxsbMxZZ52V66+/PosWLcprr72WBQsW5DOf+UwaGhqSJOeee26WLl2apqamDBkyJIsXL87MmTNzzDHHJEnOO++8LFy4MGPGjMlRRx2V22+/Pccee2ymTp1az1MDAADoF/ptECbJtddemxtvvDFz587NoEGDcuaZZ+aKK66ozefOnZudO3dm/vz52b17d2bOnJkFCxbU5meffXa2b9+eJUuW5NVXX82UKVNy5513vumLaAAAAEo0oKqqqt6beL944zOEQ4cOzdixY+u9nfesmS/cvU/P+97Iz+/nnQAAwHvPr9MlbpUBAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUalC9N/Bu6+npyY033ph/+Id/SG9vb0477bRcc801GTp0aL239r4284W7670FAADgbbzv7xAuWbIkq1atytKlS3PXXXdlw4YNueaaa+q9LQAAgLp7X98h3LFjRx566KH8xV/8RaZNm5Ykueqqq/K5z30uHR0d+dCHPlTnHQIAANTP+/oO4VNPPZUktRhMkvHjx2fQoEFZs2ZNvbYFAADQL7yv7xBu3LgxTU1NGTx4cG1t8ODBOfLII9PR0bFPx2xra9vr7Prrr09jY2N27tyZDRs27NPx3y8u6fnwAf+Z39j+w31+7kmDm/bjTgAAoH527tyZJOnu7n7bx76vg7CrqytDhgx503pDQ0O6urr2+897Izx7e3vfleO/l/xG3ltf2tO1u+x/XwAAvP/09va+7WPe10HY2NiYXbt2vWm9u7s7jY2N+3TMxx9/fK+z9evXp6enJwMHDszBBx+8T8fn//fMM88kScaNG1fnnVAi1x/15Pqjnlx/1Jtr8J3r7u5Ob29vn3dK7s37OgibmpqydevW9PT01P5h7NmzJ1u3bs2IESP2+8878cQT9/sxS3bRRRcleesIh3eL6496cv1RT64/6s01eGC9r79UZsqUKamqKk8++WRt7YknnkhVVWltba3jzgAAAOrvfR2EjY2NOeuss3L99dfniSeeyA9+8INcffXV+cxnPpOGhoZ6bw8AAKCu3tdvGU2Sa6+9NjfeeGPmzp2bQYMG5cwzz8wVV1xR720BAADU3fs+CA855JDccMMNueGGG+q9FQAAgH7lff2WUQAAAPZuQFVVVb03AQAAwIHnDiEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCH9Tk9PT6677rpMmTIlra2tufrqq9PV1VXvbfEe1dHRkS9+8YtpbW1NS0tLzj///Dz77LNJkqqqctttt2X69OmZOHFiLr300mzbtq3P85cvX55TTz01EyZMyOzZs/P888/3ma9YsSKf+MQnMn78+Hz605/O2rVrD9Sp8R7z8MMPZ8yYMdm+fXuSt3+t2x/XJyTJl7/85fz2b/92xo0bl9/7vd/L008/ncRrIO++rq6uXHvttZk+fXqmTZuWq666Kjt27Eji+utXKuhnFixYUH3sYx+rVq1aVT311FPV7/7u71bz5s2r97Z4jzrvvPOqs846q1q9enW1bt266g/+4A+qtra26rXXXqu+8pWvVFOmTKm+853vVM8880w1Z86c6vd///drz/32t79dtbS0VH/zN39TPfvss9X8+fOrU089tdq5c2dVVVX1T//0T9WJJ55Y3XPPPdVPfvKT6uabb65OPvnk6qWXXqrX6dJPbd68uZo8eXI1evToqqOjo6qqt3+te6fXJ1RVVS1btqxqbW2tvv3tb1dPP/10dfHFF1ennnpq1dPT4zWQd93ll19e/bf/9t+qJ554olq1alX18Y9/vPrDP/zDqqre+Wuc62//EYT0Kz//+c+rE088sXrsscdqa//4j/9YjR07ttq2bVsdd8Z70b/9279Vo0ePrtauXVtb6+zsrE488cTq//7f/1v9l//yX6rly5fXZi+++GI1evTo6umnn66qqqrOOeec6uabb67Nd+7cWY0fP75asWJFVVVVddlll/X5H/C9vb3VrFmzqq9+9avv8pnxXjNnzpzqf/yP/1ELwrd7revt7X3H1yd0d3dXp5xySp/rqKOjo5o6dWr17LPPeg3kXdXd3V2dcMIJ1aOPPlpbe+SRR6qxY8dWXV1drr9+xFtG6VeeeuqpJMm0adNqa+PHj8+gQYOyZs2aem2L96iXXnopw4cPz/HHH19bGzp0aA455JC8+OKL2bZtW2bMmFGbNTc3Z+TIkVm9enU6Ozuzfv36PvMhQ4akpaUlq1evTpKsWbOmz3zAgAFpbW2tzSFJ/vqv/zpbt27NxRdfXFt7u9e655577h1fn/DjH/84r7zySv7rf/2vtbUjjzwyP/rRj/KBD3zAayDvqq6uruzZsycNDQ21tYMPPji9vb159tlnXX/9iCCkX9m4cWOampoyePDg2trgwYNz5JFHpqOjo447471o6tSp+eEPf9jnevr7v//77NixI6NHj87AgQMzYsSIPs8ZPnx4Ojo68sILL6S3tzejRo36pfPOzs68/PLLe51Dkrz44ou59dZbc9NNN2XQoEG19bd7rdu4ceM7uj4hSf7lX/4lhx56aH7wgx/kk5/8ZKZMmZIvfOELee65597xNeY1kLdzxBFHZNy4cfnyl7+c7du3Z/v27fnyl7+cyZMn55VXXnH99SOCkH6lq6srQ4YMedN6Q0ODL5bhHdmzZ0++/OUv54orrshpp52Wrq6uDB48OAMH9n0ZfONae+N6+4/X4686h6qqcvXVV+f888/vc5c6efvXund6fUKS/PznP093d3e+8pWv5Kqrrspf/MVfZODAgZk9e7bXQA6IBQsWZO3atZk2bVqmTZuWdevW5Ytf/KLrr58Z9PYPgQOnsbExu3btetN6d3d3Ghsb67Aj3g/Wr1+fK6+8Mv/6r/+aCy+8MPPmzcvKlSvT3d2d3t7ePv9BeuNae+N627lzZ59j9fT0pLGxMYcddthbzuH+++/PK6+8krlz575p9navdY2Nje/o+oQk6e3tze7du3PTTTflxBNPTJKMHj06bW1tSeI1kHfV1q1bM3fu3LS1teXCCy9Mkvyf//N/Mnfu3Fx77bWuv37EHUL6laampmzdujU9PT21tT179mTr1q1velsB/Cq+//3v59xzz01DQ0O++c1v5ktf+lIOOuigNDU1paqqbN68uc/jN2/enObm5gwbNixJ0t7e3mfe3t6e5ubmNDQ05NBDD93rHFauXJnnnnsukyZNyrhx4zJnzpwkyUc/+tF8/etff8vXund6fUKSfOhDH0qSfPjDH66tNTY2pqmpKVu2bPEayLvqH/7hH9LZ2Zk///M/z8knn5yTTz45t956awYMGJBNmza5/voRQUi/MmXKlFRVlSeffLK29sQTT6SqqrS2ttZxZ7wXdXZ25sorr8ysWbOyfPnyjB07tjYbO3Zshg0blpUrV9bWNm3alI0bN6atrS2HH354Wlpa8vjjj/c53rp162r/7/qMGTP6zF9//fWsXr26Nqds1113Xb71rW/l4YcfzsMPP5wbbrghSXLvvffmgQceeMvXuv1xfcKECROSJP/8z/9cW/v5z3+el156Kb/5m7/pNZB31euvv54BAwb0WfvABz6QD3zgA2lqanL99SPeMkq/0tjYmLPOOivXX399Fi1alNdeey0LFizIZz7zmT7fUgW/ilWrVqWrqysXXXRRXnzxxT6zD37wgzn33HOzdOnSNDU1ZciQIVm8eHFmzpyZY445Jkly3nnnZeHChRkzZkyOOuqo3H777Tn22GMzderU2nz27Nm1O0D33HNPdu/enTPOOOOAnyv9z/DhwzN8+PDa39/4hctHH310jjzyyLd9rXun1yf81m/9Vn77t387V199da6++uocfvjh+cu//Mscd9xx+chHPuI1kHfVrFmzsnTp0vzRH/1R5syZk0GDBuX+++9PVVWZOXNmtmzZ4vrrL+r1+y5gb1577bXqmmuuqSZNmlSdcsop1fXXX1/19PTUe1u8B33lK1+pRo8e/Uv/3H777dWePXuqW265pTrllFOqiRMnVn/0R39Uvfrqq32OsWzZsqqtra0aP3589YUvfKHavHlzn/nDDz9czZo1qxo3blx13nnnVf/yL/9yIE+R95DVq1f3+cX0b/datz+uT+jq6qquvfbaavLkydWECROquXPnVj/72c+qqto/15jXQN7K+vXrq4svvrg65ZRTqtbW1urCCy+sNmzYUFWV668/GVBVVVXvKAUAAODA8xlCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAOgH1qxZkzFjxmTVqlX13goABRGEAAAAhRKEAAAAhRKEAPAOXXjhhWltbc3u3bv7rF911VWZPHlyuru78+ijj+b3f//3M3HixEyZMiWf//zn8+STT+71mFdeeWU+8pGP9Fl74YUXMmbMmDz00EO1tZ07d+amm27KRz7ykbS0tORTn/pUvve97+3fEwTgfUsQAsA7dOaZZ2bHjh35x3/8x9ra7t27893vfjenn356nn322Vx22WU5+uijs2TJklx55ZV5+eWXM2fOnLzyyiv7/HNff/31XHzxxfmbv/mbXHjhhfnTP/3THH300fmDP/iDfPvb394PZwbA+92gem8AAN7rTjvttCxYsCCPPvpopk+fniT50Y9+lJ///Of5nd/5nfz0pz/NpEmT8qd/+qcZMGBAkuQ//+f/nNmzZ+cnP/lJpkyZsk8/d8WKFVmzZk0efPDBTJw4MUny8Y9/PC+//HKWLl2aM844Y/+cIADvW+4QAsA7dOihh2bmzJn5zne+k6qqkiSPPPJIRowYkcmTJ+dTn/pUli9fns7Ozvz4xz/OI488kgceeCDJL+7y7asf/OAHGT58eEaPHp2urq7an4985CP5f//v/6Wjo2O/nB8A71/uEALAfnDWWWfl29/+dtauXZtx48blO9/5Ts4999wMGDAgmzZtyrXXXps1a9bkyCOPzDHHHJOjjjrq1/4Zb8TmG7Zt25aXXnopkyZN+qWPf/nll/OhD31on84HgDIIQgDYD9ra2nLEEUfk0UcfTVdXV1555ZX8zu/8TpLkiiuuSEdHRx555JEcffTRSZJVq1bl7/7u7/Z6vDfeWvrv/cfPGx522GG1zyX+Ms3Nzft4NgCUQhACwH5w0EEH5ZOf/GS+853v5NVXX01LS0t+4zd+I0ny7LPP5pxzzqnFYJK3/QX0DQ0N6erqSlVVtTh84okn+jzmlFNOyWOPPZajjz46TU1NtfW77rorP/rRj7Js2bL9dXoAvE8JQgDYT84888zcf//92bx5c6644ora+rhx4/Ktb30rv/mbv5kPfvCD+f73v59/+qd/SvKLL58ZO3bsm4518skn57777stf/dVf5Zxzzsk///M/5+tf/3qfx5xzzjm5//77c+GFF+aCCy7IoYcempUrV+Yb3/hGrrrqqgwc6KsCAHhr/ksBAPvJpEmTMmrUqPT29uaTn/xkbX3JkiUZN25c/uRP/iSLFy/OkUcemW9+85uZPn16vv71r2fTpk1vOtYnP/nJzJ07N/fdd18+/vGP56677spNN93U5zGHHHJI7rvvvpx00km55ZZbcsUVV+Tpp5/ODTfckAsuuOBdP18A3vsGVP/xE+oAAAAUwR1CAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQv1/Nsuev9sqIcEAAAAASUVORK5CYII=", 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AQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQvWZINy6dWuOP/74bN269W0/p1Kp5MYbb8z48eMzatSozJgxI1u2bOm1z5IlSzJp0qSceOKJmTZtWtauXbu7lw4AAPCe1CeCcNOmTbnuuuuyY8eOXtsXL16cESNG9HqccsopPfOFCxfmjjvuyNy5c3P77bdn+/btueSSS3rmy5Yty/z589Pc3JylS5emvr4+F110UbZv377Hzg0AAKCvGlDtBXz961/PP//zP7/h7JlnnsmnP/3pnH/++T3b9tlnnySv3h1ctGhRLr300kyZMiVJMnfu3EyaNClPPfVURowYkYULF+bcc8/N1KlTkyRz5szJuHHjsnz58px66qnv7okBAAD0cVW/Qzh9+vTcddddufbaa183W7t2bcaMGZOjjjqq53HYYYcleTUWt2zZkokTJ/bs39DQkGHDhmXlypVpbW3N6tWre80HDhyYxsbGrFy58t0/MQAAgD6u6ncIGxoa0tDQkJdeeul1s7Vr12bZsmW5+eabs3379owbNy6XXXZZhgwZknXr1qV///4ZOnRor+fU19enpaUl69evT3d3dw499NA3nO+qCRMm7HTW3NycI488cpePDQAAsCdV/Q7hzrS1teWFF15ITU1Nvv3tb2fevHl59tlnc8EFF6SjoyNtbW2pqalJ//69T6G2tjZtbW1pa2tL8updwTeaAwAAlK7qdwh3Zt99983999+fhoaG9OvXL0ly9NFH52Mf+1hWrFiRurq6dHR0pLu7u1cUdnR0pK6uLnV1dUmS9vb2Xsft7Ozsme2KFStW7HS2Zs0asQkAALxn9Nk7hAMGDMjQoUN7YjB59eOeBx10UDZv3pwhQ4akUqlk48aNvZ63cePGNDQ0ZPDgwUmSDRs29Jpv2LAhDQ0N7/4JAAAA9HF9NgjvuuuuTJkyJV1dXT3bnnvuuWzbti1HH310hg8fnsGDB+fBBx/sNV+3bl0mTJiQAw88MI2Njb3u6LW2tuaJJ5540+8BAgAAlKLPBmFTU1NefPHFzJw5M4899lgefvjhNDc3Z/To0TnppJPSv3//nH322VmwYEEeeOCBrFq1KjNmzMjkyZNz+OGHJ0nOOeec/PjHP87dd9+dxx57LF/+8pdzxBFHZNy4cVU+OwAAgOrrs98hPOSQQ3LbbbflhhtuyIUXXpiamppMmDAhV155Zc8+06dPT3t7e2bOnJmurq5Mnjw5s2fP7plPnTo1W7duzbx58/Lyyy+nqakpt9xyy+t+iAYAAKBE/SqVSqXai9hbvPajMoMGDcrw4cOrvRzegcnrF+3x17x/2AV7/DUBANj7vZMucasMAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUAPe7o7nnXfe2z5ov3798qMf/WiXFgQAAMCe8baDsKurK/369XvTfTZu3Jj//u//fsv9AAAAqL63HYR33HHHTmc7duzIwoUL873vfS8HHXRQLr/88t2yOAAAAN49bzsId+bJJ5/MVVddlT/84Q8544wzcsUVV+Sggw7aHWsDAADgXbTLQdja2pp/+Id/yNKlS9PQ0JAf/OAHGT9+/O5cGwAAAO+iXQrCe+65J9ddd11aWlpy/vnnp7m5OQMHDtzdawMAAOBd9I6CcMOGDZkzZ06WL1+e448/Pt///vdzwgknvFtrAwAA4F30toNw0aJFufnmm1OpVDJz5sxMmzYt/fv7awwBAADeq952EH7zm99Mv3790tDQkF/+8pf55S9/udN9+/Xrl8WLF++WBQIAAPDueNtBOHbs2HdzHQAAAOxhbzsIb7/99ndzHQAAAOxhvgQIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQqD4ThFu3bs3xxx+frVu39mzr7OzM1VdfnaampowdOzZXXnll2traeuaVSiU33nhjxo8fn1GjRmXGjBnZsmVLr+MuWbIkkyZNyoknnphp06Zl7dq1e+ycAAAA+rI+EYSbNm3Kddddlx07dvTaPm/evDz00ENZsGBBbr311qxZsyZf+9rXeuYLFy7MHXfckblz5+b222/P9u3bc8kll/TMly1blvnz56e5uTlLly5NfX19Lrroomzfvn2PnRsAAEBfVfUg/PrXv56JEyfm5z//ea/tL730Uu688878/d//fU4++eSMGjUqV1xxRe655560tLSkUqlk0aJFufTSSzNlypR8+MMfzty5c/PEE0/kqaeeSvJqMJ577rmZOnVqhg8fnjlz5mTr1q1Zvnx5Fc4UAACgb6l6EE6fPj133XVXrr322l7bf/vb3yZJTj755J5tI0eOzIABA7Jq1ao888wz2bJlSyZOnNgzb2hoyLBhw7Jy5cq0trZm9erVveYDBw5MY2NjVq5c+S6fFQAAQN83oNoLaGhoSENDQ1566aVe29etW5chQ4akpqamZ1tNTU0OPvjgtLS0ZN99903//v0zdOjQXs+rr69PS0tL1q9fn+7u7hx66KFvON9VEyZM2Omsubk5Rx555C4fGwAAYE+q+h3CnWlra8vAgQNft722tjZtbW1pa2tLTU1N+vfvv9N5ktcd47U5AABA6ap+h3Bn6urq3vDHXzo6OlJXV5e6urp0dHSku7u7VxT+z3mStLe393p+Z2dnz2xXrFixYqezNWvWiE0AAOA9o8/eIRwyZEg2b96czs7Onm2vvPJKNm/enKFDh2bIkCGpVCrZuHFjr+dt3LgxDQ0NGTx4cJJkw4YNveYbNmxIQ0PDu38CAAAAfVyfDcKmpqZUKpU8+uijPdseeeSRVCqVjB07NsOHD8/gwYPz4IMP9syfe+65rFu3LhMmTMiBBx6YxsbGXnf0Wltb88QTT7zp9wABAABK0ac/MnrmmWfmmmuuydy5c/OXv/wls2fPzuc///nU1tYmSc4+++wsWLAgQ4YMycCBA3P99ddn8uTJOfzww5Mk55xzTubMmZNjjz02hxxySG666aYcccQRGTduXDVPDQAAoE/os0GYJFdddVWuu+66TJ8+PQMGDMgZZ5yRWbNm9cynT5+e9vb2zJw5M11dXZk8eXJmz57dM586dWq2bt2aefPm5eWXX05TU1NuueWW1/0QDQAAQIn6VSqVSrUXsbd47UdlBg0alOHDh1d7ObwDk9cv2uOvef+wC/b4awIAsPd7J13iVhkAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAECh3tNBWKlUcuONN2b8+PEZNWpUZsyYkS1btvTaZ8mSJZk0aVJOPPHETJs2LWvXrq3SagEAAPqWPh+EixcvzogRI3o9TjnllCTJwoULc8cdd2Tu3Lm5/fbbs3379lxyySU9z122bFnmz5+f5ubmLF26NPX19bnooouyffv2ap0OAABAnzGg2gt4K88880w+/elP5/zzz+/Zts8++6RSqWTRokW59NJLM2XKlCTJ3LlzM2nSpDz11FMZMWJEFi5cmHPPPTdTp05NksyZMyfjxo3L8uXLc+qpp1bjdAAAAPqMPn+HcO3atRkzZkyOOuqonsdhhx2WZ555Jlu2bMnEiRN79m1oaMiwYcOycuXKtLa2ZvXq1b3mAwcOTGNjY1auXFmNUwEAAOhT+vwdwrVr12bZsmW5+eabs3379owbNy6XXXZZ1q1bl/79+2fo0KG99q+vr09LS0vWr1+f7u7uHHrooW8431UTJkzY6ay5uTlHHnnkLh8bAABgT+rTdwjb2trywgsvpKamJt/+9rczb968PPvss7ngggvS1taWmpqa9O/f+xRqa2vT1taWtra2JK/eFXyjOQAAQOn69B3CfffdN/fff38aGhrSr1+/JMnRRx+dj33sY6mtrU1HR0e6u7t7RWFHR0fq6upSV1eXJGlvb+91zM7Ozp7ZrlixYsVOZ2vWrBGbAADAe0afvkM4YMCADB06tCcGk1c/8nnQQQflj3/8YyqVSjZu3NjrORs3bkxDQ0MGDx6cJNmwYUOv+YYNG9LQ0PDuLx4AAKCP69NBeNddd2XKlCnp6urq2fbcc89l27ZtOemkkzJ48OA8+OCDvWbr1q3LhAkTcuCBB6axsbHXHb3W1tY88cQTb/o9QAAAgFL06SBsamrKiy++mJkzZ+axxx7Lww8/nObm5owePTonnXRSzj777CxYsCAPPPBAVq1alRkzZmTy5Mk5/PDDkyTnnHNOfvzjH+fuu+/OY489li9/+cs54ogjMm7cuCqfGQAAQPX16e8QHnLIIbnttttyww035MILL0xNTU0mTJiQK6+8Mkkyffr0tLe3Z+bMmenq6srkyZMze/bsnudPnTo1W7duzbx58/Lyyy+nqakpt9xyy+t+iAYAAKBE/SqVSqXai9hbvPajMoMGDcrw4cOrvRzegcnrF+3x17x/2AV7/DUBANj7vZMucasMAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUHt9EHZ2dubqq69OU1NTxo4dmyuvvDJtbW3VXhYAAEDV7fVBOG/evDz00ENZsGBBbr311qxZsyZf+9rXqr0sAACAqhtQ7QW8m1566aXceeed+cd//MecfPLJSZIrrrgi5513XlpaWvKBD3ygyisEAAConr36DuFvf/vbJOmJwSQZOXJkBgwYkFWrVlVrWQAAAH3CXn2HcN26dRkyZEhqamp6ttXU1OTggw9OS0vLLh1zwoQJO51dc801qaurS3t7e9asWbNLx6c6Luk8ao+/5ppW1wgAALtfe3t7kqSjo+Mt992rg7CtrS0DBw583fba2tp35YdlXgvP7u5uP1zzHvPBDNrjr9nW5RoBAODd093d/Zb77NVBWFdXl+3bt79ue0dHR+rq6nbpmCtWrNjpbPXq1ens7Ez//v2z77777tLxeW956qmnkiQjRoyo8kpg17mO2Ru4jtkbuI7ZXTo6OtLd3d3rk5I7s1cH4ZAhQ7J58+Z0dnb2/Mt45ZVXsnnz5gwdOnS3v94JJ5yw249J33bxxRcnefP/UQB9neuYvYHrmL2B65hq2Kt/VKapqSmVSiWPPvpoz7ZHHnkklUolY8eOreLKAAAAqm+vDsK6urqceeaZueaaa/LII4/kgQceyJVXXpnPf/7zqa2trfbyAAAAqmqv/shoklx11VW57rrrMn369AwYMCBnnHFGZs2aVe1lAQAAVN1eH4T77bdfrr322lx77bXVXgoAAECfsld/ZBQAAICd61epVCrVXgQAAAB7njuEAAAAhRKEAAAAhRKEAAAAhRKEAAAAhRKEAAAAhRKEAAAAhRKEAAAAhRKEAAAAhRKEAAAAhRKEAAAAhRKEAAAAhRKEAAAAhRKEAAAAhRKEsAs6Oztz9dVXp6mpKWPHjs2VV16Ztra2ai8LdqpSqeTGG2/M+PHjM2rUqMyYMSNbtmzptc+SJUsyadKknHjiiZk2bVrWrl3ba75s2bJ88pOfzMiRI/O5z30ujz/++B48A/Z2W7duzfHHH5+tW7f2bHur91rXNX3NG13Hb8V1TLUJQtgF8+bNy0MPPZQFCxbk1ltvzZo1a/K1r32t2suicIsXL86IESN6PU455ZQkycKFC3PHHXdk7ty5uf3227N9+/ZccsklPc9dtmxZ5s+fn+bm5ixdujT19fW56KKLsn379iTJ448/nssuuyxf+MIXcuedd2bMmDG5+OKLs2nTpqqcK3uXTZs25brrrsuOHTt6bX+r91rXNX3Jzq7jN3tvTlzH9AEV4B158cUXKyeccEJl+fLlPdt+85vfVIYPH17ZsmVLFVdG6a6++urKVVddVXnmmWd6Hn/6058q3d3dlf/3//5fZcmSJT37Pv/885Vjjjmm8uSTT1YqlUrlrLPOqsyfP79n3t7eXhk5cmRl2bJllUqlUrn00ksrzc3NPfPu7u7KlClTKj/4wQ/2zMmx17rqqqsqxxxzTM+jpaWlUqm89Xut65q+ZGfXcaWy8/fmSqXiOqZPcIcQ3qHf/va3SZKTTz65Z9vIkSMzYMCArFq1qlrLgqxduzZjxozJUUcd1fM47LDD8swzz2TLli2ZOHFiz74NDQ0ZNmxYVq5cmdbW1qxevbrXfODAgWlsbMzKlSuTJKtWreo179evX8aOHdszh101ffr03HXXXbn22mt7bX+r91rXNX3Jzq7jZOfvzUlcx/QJghDeoXXr1mXIkCGpqanp2VZTU5ODDz44LS0tVVwZpVu7dm2WLVuWU045JRMnTsxll12WTZs2Zd26denfv3+GDh3aa//6+vq0tLRk/fr16e7uzqGHHvqG89bW1mzbtm2nc/i/aGhoyHHHHdfzB+TXvNV7reuavmRn13Gy8/fmJK5j+gRBCO9QW1tbBg4c+LrttbW1fliGqmlra8sLL7yQmpqafPvb3868efPy7LPP5oILLkhbW1tqamrSv3/vt/zXrtnXrtv/fV2/3Tm8G97qvdZ1zXvBm703d3R0uI7pEwZUewHwXlNXV9fzRe7/qaOjI3V1dVVYEST77rtv7r///jQ0NKRfv35JkqOPPjof+9jHUltbm46OjnR3d/f6Q8dr1+xr1217e3uvY3Z2dqauri4HHHDAm87h3fBW77V1dXWua/q8N3tvXrFiheuYPsEdQniHhgwZks2bN6ezs7N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" ] @@ -504,8 +504,8 @@ }, "papermill": { "default_parameters": {}, - "duration": 2.718722, - "end_time": "2024-09-10T13:53:21.184666", + "duration": 2.77955, + "end_time": "2024-09-10T14:17:03.238573", "environment_variables": {}, "exception": null, "input_path": "Cauchy.ipynb", @@ -514,7 +514,7 @@ "func_name": "Cauchy", "positive_prior": false }, - "start_time": "2024-09-10T13:53:18.465944", + "start_time": "2024-09-10T14:17:00.459023", "version": "2.6.0" } }, diff --git a/_sources/notebooks/Configuration.ipynb.txt b/_sources/notebooks/Configuration.ipynb.txt index dc11c8d8..5aad9b7a 100644 --- a/_sources/notebooks/Configuration.ipynb.txt +++ b/_sources/notebooks/Configuration.ipynb.txt @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "markdown", - "id": "cecf591d", + "id": "d0a8dfc8", "metadata": {}, "source": [ "# Configuration\n", @@ -13,25 +13,25 @@ { "cell_type": "code", "execution_count": 1, - "id": "de14bf9f", + "id": "89e8e1ae", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:50:14.209067Z", - "iopub.status.busy": "2024-09-10T13:50:14.208444Z", - "iopub.status.idle": "2024-09-10T13:50:15.512213Z", - "shell.execute_reply": "2024-09-10T13:50:15.511645Z" + "iopub.execute_input": "2024-09-10T14:13:51.297550Z", + "iopub.status.busy": "2024-09-10T14:13:51.296962Z", + "iopub.status.idle": "2024-09-10T14:13:52.577868Z", + "shell.execute_reply": "2024-09-10T14:13:52.577286Z" } }, "outputs": [ { "data": { "text/html": [ - "
13:50:15 WARNING   The naima package is not available. Models that depend on it will not be         functions.py:48\n",
+       "
14:13:52 WARNING   The naima package is not available. Models that depend on it will not be         functions.py:48\n",
        "                  available                                                                                        \n",
        "
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-       "\u001b[38;5;46m13:50:15\u001b[0m\u001b[38;5;46m \u001b[0m\u001b[38;5;134mWARNING \u001b[0m \u001b[1;38;5;251m The naima package is not available. Models that depend on it will not be        \u001b[0m\u001b[1;38;5;251m \u001b[0m\u001b]8;id=964953;file:///Users/runner/work/astromodels/astromodels/astromodels/functions/functions_1D/functions.py\u001b\\\u001b[2mfunctions.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=163923;file:///Users/runner/work/astromodels/astromodels/astromodels/functions/functions_1D/functions.py#48\u001b\\\u001b[2m48\u001b[0m\u001b]8;;\u001b\\\n",
+       "\u001b[38;5;46m14:13:52\u001b[0m\u001b[38;5;46m \u001b[0m\u001b[38;5;134mWARNING \u001b[0m \u001b[1;38;5;251m The naima package is not available. Models that depend on it will not be        \u001b[0m\u001b[1;38;5;251m \u001b[0m\u001b]8;id=680873;file:///Users/runner/work/astromodels/astromodels/astromodels/functions/functions_1D/functions.py\u001b\\\u001b[2mfunctions.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=216813;file:///Users/runner/work/astromodels/astromodels/astromodels/functions/functions_1D/functions.py#48\u001b\\\u001b[2m48\u001b[0m\u001b]8;;\u001b\\\n",
        "\u001b[38;5;46m         \u001b[0m         \u001b[1;38;5;251mavailable                                                                        \u001b[0m\u001b[1;38;5;251m \u001b[0m\u001b[2m               \u001b[0m\n"
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Models that depend on it \u001b[0m\u001b[1;38;5;251m \u001b[0m\u001b]8;id=316824;file:///Users/runner/work/astromodels/astromodels/astromodels/functions/functions_1D/functions.py\u001b\\\u001b[2mfunctions.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=285463;file:///Users/runner/work/astromodels/astromodels/astromodels/functions/functions_1D/functions.py#69\u001b\\\u001b[2m69\u001b[0m\u001b]8;;\u001b\\\n", "\u001b[38;5;46m \u001b[0m \u001b[1;38;5;251mwill not be available. \u001b[0m\u001b[1;38;5;251m \u001b[0m\u001b[2m \u001b[0m\n" ] }, @@ -61,13 +61,13 @@ { "cell_type": "code", "execution_count": 2, - "id": "503e29b7", + "id": "7901e163", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:50:15.514747Z", - "iopub.status.busy": "2024-09-10T13:50:15.514463Z", - "iopub.status.idle": "2024-09-10T13:50:15.526699Z", - "shell.execute_reply": "2024-09-10T13:50:15.526307Z" + "iopub.execute_input": "2024-09-10T14:13:52.580370Z", + "iopub.status.busy": "2024-09-10T14:13:52.580073Z", + "iopub.status.idle": "2024-09-10T14:13:52.592293Z", + "shell.execute_reply": "2024-09-10T14:13:52.591909Z" } }, "outputs": [ @@ -132,7 +132,7 @@ }, { "cell_type": "markdown", - "id": "4c5cfaff", + "id": "5279b39d", "metadata": {}, "source": [ "The configuration can be accessed and altered during runtime:" @@ -141,13 +141,13 @@ { "cell_type": "code", "execution_count": 3, - "id": "e835a0bf", + "id": "183b1b8d", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:50:15.528658Z", - "iopub.status.busy": "2024-09-10T13:50:15.528558Z", - "iopub.status.idle": "2024-09-10T13:50:15.536921Z", - "shell.execute_reply": "2024-09-10T13:50:15.536541Z" + "iopub.execute_input": "2024-09-10T14:13:52.594293Z", + "iopub.status.busy": "2024-09-10T14:13:52.594187Z", + "iopub.status.idle": "2024-09-10T14:13:52.596244Z", + "shell.execute_reply": "2024-09-10T14:13:52.595853Z" } }, "outputs": [], @@ -158,13 +158,13 @@ { "cell_type": "code", "execution_count": 4, - "id": "2edb2235", + "id": "1f0a8b74", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:50:15.538828Z", - "iopub.status.busy": "2024-09-10T13:50:15.538726Z", - "iopub.status.idle": "2024-09-10T13:50:15.542858Z", - "shell.execute_reply": "2024-09-10T13:50:15.542532Z" + "iopub.execute_input": "2024-09-10T14:13:52.598103Z", + "iopub.status.busy": "2024-09-10T14:13:52.598001Z", + "iopub.status.idle": "2024-09-10T14:13:52.602076Z", + "shell.execute_reply": "2024-09-10T14:13:52.601695Z" } }, "outputs": [ @@ -229,7 +229,7 @@ }, { "cell_type": "markdown", - "id": "35ef6b62", + "id": "4b73df98", "metadata": {}, "source": [ "The user can create a configuration YAML file with any name and the extension `.yml` and place it in the `~/.config/astromodels/` folder. An example file:\n", @@ -254,7 +254,7 @@ }, { "cell_type": "markdown", - "id": "bdce1de5", + "id": "533d2408", "metadata": {}, "source": [ "## Configuration options\n", diff --git a/_sources/notebooks/Constant.ipynb.txt b/_sources/notebooks/Constant.ipynb.txt index b3c0d42e..4393ffeb 100644 --- a/_sources/notebooks/Constant.ipynb.txt +++ b/_sources/notebooks/Constant.ipynb.txt @@ -2,13 +2,13 @@ "cells": [ { "cell_type": "markdown", - "id": "488526ce", + "id": "b55163c8", "metadata": { "papermill": { - "duration": 0.005479, - "end_time": "2024-09-10T13:51:48.192533", + "duration": 0.010392, + "end_time": "2024-09-10T14:15:20.118198", "exception": false, - "start_time": "2024-09-10T13:51:48.187054", + "start_time": "2024-09-10T14:15:20.107806", "status": "completed" }, "tags": [] @@ -20,20 +20,20 @@ { "cell_type": "code", "execution_count": 1, - "id": "b46332f6", + "id": "1153922d", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:51:48.205647Z", - "iopub.status.busy": "2024-09-10T13:51:48.205013Z", - "iopub.status.idle": "2024-09-10T13:51:49.734961Z", - "shell.execute_reply": "2024-09-10T13:51:49.734413Z" + "iopub.execute_input": "2024-09-10T14:15:20.133532Z", + "iopub.status.busy": "2024-09-10T14:15:20.132912Z", + "iopub.status.idle": "2024-09-10T14:15:21.556254Z", + "shell.execute_reply": "2024-09-10T14:15:21.555748Z" }, "nbsphinx": "hidden", "papermill": { - "duration": 1.539225, - "end_time": "2024-09-10T13:51:49.736767", + "duration": 1.431565, + "end_time": "2024-09-10T14:15:21.557777", "exception": false, - "start_time": "2024-09-10T13:51:48.197542", + "start_time": "2024-09-10T14:15:20.126212", "status": "completed" }, "tags": [] @@ -60,20 +60,20 @@ { "cell_type": "code", "execution_count": 2, - "id": "926d3d9d", + "id": "c8b690e4", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:51:49.740412Z", - "iopub.status.busy": "2024-09-10T13:51:49.740077Z", - "iopub.status.idle": 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"2024-09-10T14:15:21.603829", "status": "completed" }, "tags": [ @@ -340,14 +340,14 @@ }, { "cell_type": "markdown", - "id": "9c4f11a2", + "id": "c07bb79e", "metadata": { "lines_to_next_cell": 0, "papermill": { - "duration": 0.001576, - "end_time": "2024-09-10T13:51:49.875073", + "duration": 0.001386, + "end_time": "2024-09-10T14:15:21.699051", "exception": false, - "start_time": "2024-09-10T13:51:49.873497", + "start_time": "2024-09-10T14:15:21.697665", "status": "completed" }, "tags": [] @@ -362,19 +362,19 @@ { "cell_type": "code", "execution_count": 7, - "id": "8434eb59", + "id": "dac5c935", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:51:49.878913Z", - "iopub.status.busy": "2024-09-10T13:51:49.878767Z", - "iopub.status.idle": "2024-09-10T13:51:50.016724Z", - "shell.execute_reply": "2024-09-10T13:51:50.016295Z" + "iopub.execute_input": "2024-09-10T14:15:21.702606Z", + "iopub.status.busy": "2024-09-10T14:15:21.702467Z", + "iopub.status.idle": 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"linear", "y_scale": "linear" }, - "start_time": "2024-09-10T13:51:47.646475", + "start_time": "2024-09-10T14:15:19.536751", "version": "2.6.0" } }, diff --git a/_sources/notebooks/Cosine_Prior.ipynb.txt b/_sources/notebooks/Cosine_Prior.ipynb.txt index 2fea98cb..69dccaab 100644 --- a/_sources/notebooks/Cosine_Prior.ipynb.txt +++ b/_sources/notebooks/Cosine_Prior.ipynb.txt @@ -2,13 +2,13 @@ "cells": [ { "cell_type": "markdown", - "id": "d7931026", + "id": "8d04bdf7", "metadata": { "papermill": { - "duration": 0.008837, - "end_time": "2024-09-10T13:53:21.816202", + "duration": 0.005804, + "end_time": "2024-09-10T14:17:04.007968", "exception": false, - "start_time": "2024-09-10T13:53:21.807365", + "start_time": "2024-09-10T14:17:04.002164", "status": "completed" }, "tags": [] @@ -20,20 +20,20 @@ { "cell_type": "code", "execution_count": 1, - "id": "9de9010f", + "id": "e96ba6b3", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:53:21.830262Z", - "iopub.status.busy": 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+ "image/png": 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", "text/plain": [ "
" ] @@ -503,8 +503,8 @@ }, "papermill": { "default_parameters": {}, - "duration": 2.686037, - "end_time": "2024-09-10T13:53:23.879912", + "duration": 2.78658, + "end_time": "2024-09-10T14:17:06.035699", "environment_variables": {}, "exception": null, "input_path": "Cosine_Prior.ipynb", @@ -513,7 +513,7 @@ "func_name": "Cosine_Prior", "positive_prior": false }, - "start_time": "2024-09-10T13:53:21.193875", + "start_time": "2024-09-10T14:17:03.249119", "version": "2.6.0" } }, diff --git a/_sources/notebooks/Cubic.ipynb.txt b/_sources/notebooks/Cubic.ipynb.txt index e447cf9c..bed1e2b1 100644 --- a/_sources/notebooks/Cubic.ipynb.txt +++ b/_sources/notebooks/Cubic.ipynb.txt @@ -2,13 +2,13 @@ "cells": [ { "cell_type": "markdown", - "id": "5b8a4964", + "id": "fd4d1d11", "metadata": { "papermill": { - "duration": 0.007306, - "end_time": "2024-09-10T13:51:56.785484", + "duration": 0.007079, + "end_time": "2024-09-10T14:15:29.315383", "exception": false, - "start_time": "2024-09-10T13:51:56.778178", + "start_time": "2024-09-10T14:15:29.308304", "status": "completed" }, "tags": [] @@ -20,20 +20,20 @@ { "cell_type": "code", "execution_count": 1, - "id": "c9a6ef9c", + "id": "93c67465", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:51:56.798701Z", - "iopub.status.busy": "2024-09-10T13:51:56.798059Z", - "iopub.status.idle": "2024-09-10T13:51:58.255028Z", - "shell.execute_reply": "2024-09-10T13:51:58.254508Z" + "iopub.execute_input": "2024-09-10T14:15:29.329667Z", + "iopub.status.busy": "2024-09-10T14:15:29.329073Z", + "iopub.status.idle": "2024-09-10T14:15:30.991245Z", + "shell.execute_reply": "2024-09-10T14:15:30.990474Z" }, "nbsphinx": "hidden", "papermill": { - "duration": 1.465643, - "end_time": "2024-09-10T13:51:58.256530", + "duration": 1.67156, + "end_time": "2024-09-10T14:15:30.993308", "exception": false, - "start_time": "2024-09-10T13:51:56.790887", + "start_time": "2024-09-10T14:15:29.321748", "status": "completed" }, 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a/_sources/notebooks/Exponential.ipynb.txt b/_sources/notebooks/Exponential.ipynb.txt index bde3d491..90d9713c 100644 --- a/_sources/notebooks/Exponential.ipynb.txt +++ b/_sources/notebooks/Exponential.ipynb.txt @@ -2,13 +2,13 @@ "cells": [ { "cell_type": "markdown", - "id": "4cb88ffb", + "id": "6598edfa", "metadata": { "papermill": { - "duration": 0.006061, - "end_time": "2024-09-10T13:53:38.179626", + "duration": 0.007122, + "end_time": "2024-09-10T14:17:22.091425", "exception": false, - "start_time": "2024-09-10T13:53:38.173565", + "start_time": "2024-09-10T14:17:22.084303", "status": "completed" }, "tags": [] @@ -20,20 +20,20 @@ { "cell_type": "code", "execution_count": 1, - "id": "299ce64a", + "id": "757d8a38", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:53:38.190629Z", - "iopub.status.busy": "2024-09-10T13:53:38.189471Z", - "iopub.status.idle": "2024-09-10T13:53:39.604962Z", - "shell.execute_reply": "2024-09-10T13:53:39.604427Z" + "iopub.execute_input": 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}, "papermill": { - "duration": 0.01055, - "end_time": "2024-09-10T13:53:39.630619", + "duration": 0.005014, + "end_time": "2024-09-10T14:17:23.831270", "exception": false, - "start_time": "2024-09-10T13:53:39.620069", + "start_time": "2024-09-10T14:17:23.826256", "status": "completed" }, "tags": [ @@ -119,21 +119,21 @@ { "cell_type": "code", "execution_count": 4, - "id": "5ee7227b", + "id": "4bc78361", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:53:39.633296Z", - "iopub.status.busy": "2024-09-10T13:53:39.633156Z", - "iopub.status.idle": "2024-09-10T13:53:39.642069Z", - "shell.execute_reply": "2024-09-10T13:53:39.641683Z" + "iopub.execute_input": "2024-09-10T14:17:23.833810Z", + "iopub.status.busy": "2024-09-10T14:17:23.833666Z", + "iopub.status.idle": "2024-09-10T14:17:23.836430Z", + "shell.execute_reply": "2024-09-10T14:17:23.836011Z" }, "lines_to_next_cell": 0, "nbsphinx": "hidden", "papermill": { - "duration": 0.011692, - "end_time": 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", + "image/png": 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", "text/plain": [ "
" ] @@ -439,8 +439,8 @@ }, "papermill": { "default_parameters": {}, - "duration": 2.816399, - "end_time": "2024-09-10T13:53:40.427162", + "duration": 3.23259, + "end_time": "2024-09-10T14:17:24.752994", "environment_variables": {}, "exception": null, "input_path": "Exponential.ipynb", @@ -449,7 +449,7 @@ "func_name": "Exponential", "positive_prior": true }, - "start_time": "2024-09-10T13:53:37.610763", + "start_time": "2024-09-10T14:17:21.520404", "version": "2.6.0" } }, diff --git a/_sources/notebooks/Exponential_cutoff.ipynb.txt b/_sources/notebooks/Exponential_cutoff.ipynb.txt index 44d5dc64..66c2131e 100644 --- a/_sources/notebooks/Exponential_cutoff.ipynb.txt +++ b/_sources/notebooks/Exponential_cutoff.ipynb.txt @@ -2,13 +2,13 @@ "cells": [ { "cell_type": "markdown", - "id": "00becd56", + "id": "2865429c", "metadata": { "papermill": { - "duration": 0.009872, - "end_time": "2024-09-10T13:51:25.726736", + "duration": 0.006986, + "end_time": "2024-09-10T14:14:57.170856", "exception": false, - "start_time": "2024-09-10T13:51:25.716864", + "start_time": "2024-09-10T14:14:57.163870", "status": "completed" }, "tags": [] @@ -20,20 +20,20 @@ { "cell_type": "code", "execution_count": 1, - "id": "215b5380", + "id": "ad3dab93", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:51:25.743194Z", - "iopub.status.busy": "2024-09-10T13:51:25.742322Z", - "iopub.status.idle": "2024-09-10T13:51:27.161134Z", - "shell.execute_reply": "2024-09-10T13:51:27.160586Z" + "iopub.execute_input": "2024-09-10T14:14:57.182348Z", + "iopub.status.busy": "2024-09-10T14:14:57.181770Z", + "iopub.status.idle": "2024-09-10T14:14:58.586474Z", + "shell.execute_reply": "2024-09-10T14:14:58.585945Z" }, "nbsphinx": "hidden", "papermill": { - "duration": 1.428236, - "end_time": "2024-09-10T13:51:27.162684", + "duration": 1.412172, + "end_time": "2024-09-10T14:14:58.587943", "exception": false, - "start_time": "2024-09-10T13:51:25.734448", + "start_time": "2024-09-10T14:14:57.175771", "status": "completed" }, "tags": [] @@ -60,20 +60,20 @@ { "cell_type": "code", "execution_count": 2, - "id": "07c4da26", + "id": "840208d5", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:51:27.166193Z", - "iopub.status.busy": "2024-09-10T13:51:27.165852Z", - "iopub.status.idle": "2024-09-10T13:51:27.168194Z", - "shell.execute_reply": "2024-09-10T13:51:27.167816Z" + "iopub.execute_input": "2024-09-10T14:14:58.591360Z", + "iopub.status.busy": "2024-09-10T14:14:58.591035Z", + "iopub.status.idle": "2024-09-10T14:14:58.599417Z", + "shell.execute_reply": "2024-09-10T14:14:58.598979Z" }, "nbsphinx": "hidden", "papermill": { - "duration": 0.005311, - "end_time": "2024-09-10T13:51:27.169429", + "duration": 0.011357, + "end_time": "2024-09-10T14:14:58.600689", "exception": false, - "start_time": "2024-09-10T13:51:27.164118", + "start_time": "2024-09-10T14:14:58.589332", "status": "completed" }, "tags": [ @@ -95,19 +95,19 @@ { "cell_type": "code", "execution_count": 3, - "id": "65c5d99f", + "id": "6ce81b9c", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:51:27.172229Z", - "iopub.status.busy": "2024-09-10T13:51:27.172086Z", - "iopub.status.idle": "2024-09-10T13:51:27.178100Z", - "shell.execute_reply": "2024-09-10T13:51:27.177689Z" + "iopub.execute_input": "2024-09-10T14:14:58.603430Z", + "iopub.status.busy": "2024-09-10T14:14:58.603296Z", + "iopub.status.idle": "2024-09-10T14:14:58.611342Z", + "shell.execute_reply": "2024-09-10T14:14:58.610969Z" }, "papermill": { - "duration": 0.008849, - "end_time": "2024-09-10T13:51:27.179372", + "duration": 0.010835, + "end_time": "2024-09-10T14:14:58.612607", "exception": false, - "start_time": "2024-09-10T13:51:27.170523", + "start_time": "2024-09-10T14:14:58.601772", "status": "completed" }, "tags": [ @@ -127,21 +127,21 @@ { "cell_type": "code", "execution_count": 4, - "id": "eee7bfdf", + "id": "78af05c8", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:51:27.182198Z", - "iopub.status.busy": "2024-09-10T13:51:27.182062Z", - "iopub.status.idle": "2024-09-10T13:51:27.184980Z", - "shell.execute_reply": "2024-09-10T13:51:27.184604Z" + "iopub.execute_input": "2024-09-10T14:14:58.615349Z", + "iopub.status.busy": "2024-09-10T14:14:58.615216Z", + "iopub.status.idle": "2024-09-10T14:14:58.622552Z", + "shell.execute_reply": "2024-09-10T14:14:58.622181Z" }, "lines_to_next_cell": 0, "nbsphinx": "hidden", "papermill": { - "duration": 0.005712, - "end_time": "2024-09-10T13:51:27.186209", + "duration": 0.010204, + "end_time": "2024-09-10T14:14:58.623887", "exception": false, - "start_time": "2024-09-10T13:51:27.180497", + "start_time": "2024-09-10T14:14:58.613683", "status": "completed" }, "tags": [] @@ -170,14 +170,14 @@ }, { "cell_type": "markdown", - "id": "2f319e53", + "id": "c948cb75", "metadata": { "lines_to_next_cell": 0, "papermill": { - "duration": 0.001131, - "end_time": "2024-09-10T13:51:27.188459", + "duration": 0.001119, + "end_time": "2024-09-10T14:14:58.626176", "exception": false, - "start_time": "2024-09-10T13:51:27.187328", + "start_time": "2024-09-10T14:14:58.625057", "status": "completed" }, "tags": [] @@ -189,19 +189,19 @@ { "cell_type": "code", "execution_count": 5, - "id": "421823a5", + "id": "a9e24247", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:51:27.191362Z", - "iopub.status.busy": "2024-09-10T13:51:27.191224Z", - "iopub.status.idle": "2024-09-10T13:51:27.194855Z", - "shell.execute_reply": "2024-09-10T13:51:27.194376Z" + "iopub.execute_input": "2024-09-10T14:14:58.628996Z", + "iopub.status.busy": "2024-09-10T14:14:58.628854Z", + "iopub.status.idle": "2024-09-10T14:14:58.632449Z", + "shell.execute_reply": "2024-09-10T14:14:58.632002Z" }, "papermill": { - "duration": 0.006535, - "end_time": "2024-09-10T13:51:27.196111", + "duration": 0.006389, + "end_time": "2024-09-10T14:14:58.633649", "exception": false, - "start_time": "2024-09-10T13:51:27.189576", + "start_time": "2024-09-10T14:14:58.627260", "status": "completed" }, "tags": [] @@ -305,13 +305,13 @@ }, { "cell_type": "markdown", - "id": "2f248588", + "id": "2fb33106", "metadata": { "papermill": { - "duration": 0.001185, - "end_time": "2024-09-10T13:51:27.198512", + "duration": 0.001173, + "end_time": "2024-09-10T14:14:58.636062", "exception": false, - "start_time": "2024-09-10T13:51:27.197327", + "start_time": "2024-09-10T14:14:58.634889", "status": "completed" }, "tags": [] @@ -327,19 +327,19 @@ { "cell_type": "code", "execution_count": 6, - "id": "371d1ec0", + "id": "46c52ab1", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:51:27.201487Z", - "iopub.status.busy": "2024-09-10T13:51:27.201348Z", - "iopub.status.idle": "2024-09-10T13:51:27.433835Z", - "shell.execute_reply": "2024-09-10T13:51:27.433501Z" + "iopub.execute_input": "2024-09-10T14:14:58.639090Z", + "iopub.status.busy": "2024-09-10T14:14:58.638944Z", + "iopub.status.idle": "2024-09-10T14:14:58.876207Z", + "shell.execute_reply": "2024-09-10T14:14:58.875816Z" }, "papermill": { - "duration": 0.23557, - "end_time": "2024-09-10T13:51:27.435248", + "duration": 0.240439, + "end_time": "2024-09-10T14:14:58.877612", "exception": false, - "start_time": "2024-09-10T13:51:27.199678", + "start_time": "2024-09-10T14:14:58.637173", "status": "completed" }, "tags": [ @@ -372,14 +372,14 @@ }, { "cell_type": "markdown", - "id": "38ba9183", + "id": "f8f8d4f1", "metadata": { "lines_to_next_cell": 0, "papermill": { - "duration": 0.001608, - "end_time": "2024-09-10T13:51:27.438571", + "duration": 0.001437, + "end_time": "2024-09-10T14:14:58.880784", "exception": false, - "start_time": "2024-09-10T13:51:27.436963", + "start_time": "2024-09-10T14:14:58.879347", "status": "completed" }, "tags": [] @@ -394,19 +394,19 @@ { "cell_type": "code", "execution_count": 7, - "id": "c08215c1", + "id": "bd95b6aa", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:51:27.442296Z", - "iopub.status.busy": "2024-09-10T13:51:27.442145Z", - "iopub.status.idle": "2024-09-10T13:51:27.631433Z", - "shell.execute_reply": "2024-09-10T13:51:27.631027Z" + "iopub.execute_input": "2024-09-10T14:14:58.884375Z", + "iopub.status.busy": "2024-09-10T14:14:58.884236Z", + "iopub.status.idle": "2024-09-10T14:14:59.067033Z", + "shell.execute_reply": "2024-09-10T14:14:59.066667Z" }, "papermill": { - "duration": 0.192681, - "end_time": "2024-09-10T13:51:27.632674", + "duration": 0.186367, + "end_time": "2024-09-10T14:14:59.068532", "exception": false, - "start_time": "2024-09-10T13:51:27.439993", + "start_time": "2024-09-10T14:14:58.882165", "status": "completed" }, "tags": [] @@ -438,13 +438,13 @@ }, { "cell_type": "markdown", - "id": "9f5a4fec", + "id": "1974690f", "metadata": { "papermill": { - "duration": 0.001627, - "end_time": "2024-09-10T13:51:27.636206", + "duration": 0.001738, + "end_time": "2024-09-10T14:14:59.072161", "exception": false, - "start_time": "2024-09-10T13:51:27.634579", + "start_time": "2024-09-10T14:14:59.070423", "status": "completed" }, "tags": [] @@ -459,19 +459,19 @@ { "cell_type": "code", "execution_count": 8, - "id": "a0a8e378", + "id": "46856141", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:51:27.640060Z", - "iopub.status.busy": "2024-09-10T13:51:27.639911Z", - "iopub.status.idle": "2024-09-10T13:51:27.812505Z", - "shell.execute_reply": "2024-09-10T13:51:27.811692Z" + "iopub.execute_input": "2024-09-10T14:14:59.076072Z", + "iopub.status.busy": "2024-09-10T14:14:59.075928Z", + "iopub.status.idle": "2024-09-10T14:14:59.251631Z", + "shell.execute_reply": "2024-09-10T14:14:59.251170Z" }, "papermill": { - "duration": 0.17851, - "end_time": "2024-09-10T13:51:27.816275", + "duration": 0.179244, + "end_time": "2024-09-10T14:14:59.252970", "exception": false, - "start_time": "2024-09-10T13:51:27.637765", + "start_time": "2024-09-10T14:14:59.073726", "status": "completed" }, "tags": [] @@ -524,8 +524,8 @@ }, "papermill": { "default_parameters": {}, - "duration": 2.9014, - "end_time": "2024-09-10T13:51:28.151330", + "duration": 3.137658, + "end_time": "2024-09-10T14:14:59.584601", "environment_variables": {}, "exception": null, "input_path": "Exponential_cutoff.ipynb", @@ -537,7 +537,7 @@ "x_scale": "log", "y_scale": "log" }, - "start_time": "2024-09-10T13:51:25.249930", + "start_time": "2024-09-10T14:14:56.446943", "version": "2.6.0" } }, diff --git a/_sources/notebooks/Extended_sources_tutorial.ipynb.txt b/_sources/notebooks/Extended_sources_tutorial.ipynb.txt index c980eca3..72d2af26 100644 --- a/_sources/notebooks/Extended_sources_tutorial.ipynb.txt +++ b/_sources/notebooks/Extended_sources_tutorial.ipynb.txt @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "markdown", - "id": "43291ea4", + "id": "fb785613", "metadata": {}, "source": [ "# Extended source tutorial" @@ -10,7 +10,7 @@ }, { "cell_type": "markdown", - "id": "dc168da4", + "id": "1fa66e41", "metadata": {}, "source": [ "## Introduction\n", @@ -21,25 +21,25 @@ { "cell_type": "code", "execution_count": 1, - "id": "83a39752", + "id": "c348f565", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:50:16.656348Z", - "iopub.status.busy": "2024-09-10T13:50:16.655909Z", - "iopub.status.idle": "2024-09-10T13:50:17.842350Z", - "shell.execute_reply": "2024-09-10T13:50:17.841931Z" + "iopub.execute_input": "2024-09-10T14:13:53.561383Z", + "iopub.status.busy": "2024-09-10T14:13:53.560317Z", + "iopub.status.idle": "2024-09-10T14:13:54.796081Z", + "shell.execute_reply": "2024-09-10T14:13:54.795649Z" } }, "outputs": [ { "data": { "text/html": [ - "
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        "                  available                                                                                        \n",
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Models that depend on it \u001b[0m\u001b[1;38;5;251m \u001b[0m\u001b]8;id=491688;file:///Users/runner/work/astromodels/astromodels/astromodels/functions/functions_1D/functions.py\u001b\\\u001b[2mfunctions.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=421385;file:///Users/runner/work/astromodels/astromodels/astromodels/functions/functions_1D/functions.py#69\u001b\\\u001b[2m69\u001b[0m\u001b]8;;\u001b\\\n", "\u001b[38;5;46m \u001b[0m \u001b[1;38;5;251mwill not be available. \u001b[0m\u001b[1;38;5;251m \u001b[0m\u001b[2m \u001b[0m\n" ] }, @@ -280,7 +280,7 @@ }, { "cell_type": "markdown", - "id": "d39a152b", + "id": "76f2ef7b", "metadata": {}, "source": [ "Instead of the `position` property, extended sources have a `spatial_shape` property, which contains the function that was specified as the `shape` argument earlier. Information can be printed either with the regular `print` function or using `.display()`:" @@ -289,13 +289,13 @@ { "cell_type": "code", "execution_count": 2, - "id": "d3647a87", + "id": "def0461b", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:50:17.844779Z", - "iopub.status.busy": "2024-09-10T13:50:17.844548Z", - "iopub.status.idle": "2024-09-10T13:50:17.855115Z", - "shell.execute_reply": "2024-09-10T13:50:17.854757Z" + "iopub.execute_input": "2024-09-10T14:13:54.798461Z", + "iopub.status.busy": "2024-09-10T14:13:54.798184Z", + "iopub.status.idle": "2024-09-10T14:13:54.802965Z", + "shell.execute_reply": "2024-09-10T14:13:54.802569Z" } }, "outputs": [ @@ -442,7 +442,7 @@ }, { "cell_type": "markdown", - "id": "dc2af56f", + "id": "732629c6", "metadata": {}, "source": [ "Spatial shape parameters can be listed, accessed, changed as any function parameters, for example:" @@ -451,13 +451,13 @@ { "cell_type": "code", "execution_count": 3, - "id": "3cace678", + "id": "6f38129e", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:50:17.857057Z", - "iopub.status.busy": "2024-09-10T13:50:17.856959Z", - "iopub.status.idle": "2024-09-10T13:50:17.867300Z", - "shell.execute_reply": "2024-09-10T13:50:17.866921Z" + "iopub.execute_input": "2024-09-10T14:13:54.805009Z", + "iopub.status.busy": "2024-09-10T14:13:54.804877Z", + "iopub.status.idle": "2024-09-10T14:13:54.815114Z", + "shell.execute_reply": "2024-09-10T14:13:54.814741Z" } }, "outputs": [ @@ -510,7 +510,7 @@ }, { "cell_type": "markdown", - "id": "b21aa0af", + "id": "be8e5cd7", "metadata": {}, "source": [ "## Available shapes" @@ -518,7 +518,7 @@ }, { "cell_type": "markdown", - "id": "4519ef92", + "id": "29bb87d7", "metadata": {}, "source": [ "Here's a list of available 2D functions:" @@ -527,13 +527,13 @@ { "cell_type": "code", "execution_count": 4, - "id": "33ccef36", + "id": "2460fdb3", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:50:17.869315Z", - "iopub.status.busy": "2024-09-10T13:50:17.869214Z", - "iopub.status.idle": "2024-09-10T13:50:17.871379Z", - "shell.execute_reply": "2024-09-10T13:50:17.871002Z" + "iopub.execute_input": "2024-09-10T14:13:54.817273Z", + "iopub.status.busy": "2024-09-10T14:13:54.817162Z", + "iopub.status.idle": "2024-09-10T14:13:54.819544Z", + "shell.execute_reply": "2024-09-10T14:13:54.819129Z" } }, "outputs": [ @@ -551,7 +551,7 @@ }, { "cell_type": "markdown", - "id": "0ca321b2", + "id": "d94580dc", "metadata": {}, "source": [ "Check the API or use the `display()` function to find out more about the shapes and their free parameters. " @@ -559,7 +559,7 @@ }, { "cell_type": "markdown", - "id": "9bc17d6b", + "id": "43b375dd", "metadata": {}, "source": [ "### \"Moveable\" Functions\n", @@ -573,7 +573,7 @@ }, { "cell_type": "markdown", - "id": "cf524fce", + "id": "08e30ebc", "metadata": {}, "source": [ "### Fixed-position Functions\n", @@ -586,13 +586,13 @@ { "cell_type": "code", "execution_count": 5, - "id": "0a4536f2", + "id": "9789b12d", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:50:17.873458Z", - "iopub.status.busy": "2024-09-10T13:50:17.873331Z", - "iopub.status.idle": "2024-09-10T13:50:17.883533Z", - "shell.execute_reply": "2024-09-10T13:50:17.883141Z" + "iopub.execute_input": "2024-09-10T14:13:54.821647Z", + "iopub.status.busy": "2024-09-10T14:13:54.821515Z", + "iopub.status.idle": "2024-09-10T14:13:54.825609Z", + "shell.execute_reply": "2024-09-10T14:13:54.825153Z" } }, "outputs": [ @@ -759,7 +759,7 @@ }, { "cell_type": "markdown", - "id": "8b6b55da", + "id": "89e18c35", "metadata": {}, "source": [ "`SpatialTemplate_2D` is designed to read in a user-provided fits file with an image (in WCS coordinates) using the `load_file()` function. The function value will be 0 outside the WCS and equal to the value of the pixel containing the given coordinates inside the WCS. The provided template should be in units of 1/deg2 and normalized so that its integral is 1. If that is not the case, the normalization parameter `K` may be set accordingly so that the overall function is normalized as expected." @@ -768,13 +768,13 @@ { "cell_type": "code", "execution_count": 6, - "id": "57d12d8b", + "id": "27c2ebf6", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:50:17.885386Z", - "iopub.status.busy": "2024-09-10T13:50:17.885287Z", - "iopub.status.idle": "2024-09-10T13:50:17.916066Z", - "shell.execute_reply": "2024-09-10T13:50:17.915673Z" + "iopub.execute_input": "2024-09-10T14:13:54.827528Z", + "iopub.status.busy": "2024-09-10T14:13:54.827425Z", + "iopub.status.idle": "2024-09-10T14:13:54.864895Z", + "shell.execute_reply": "2024-09-10T14:13:54.864428Z" } }, "outputs": [ @@ -786,7 +786,7 @@ "\n" ], "text/plain": [ - "\u001b[38;5;46m \u001b[0m\u001b[38;5;46m \u001b[0m\u001b[38;5;134mWARNING \u001b[0m \u001b[1;38;5;251m 2D template read from spitzer_example_image.fits is normalized to nan \u001b[0m\u001b[1;38;5;251m \u001b[0m\u001b]8;id=690750;file:///Users/runner/work/astromodels/astromodels/astromodels/functions/functions_2D.py\u001b\\\u001b[2mfunctions_2D.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=283497;file:///Users/runner/work/astromodels/astromodels/astromodels/functions/functions_2D.py#747\u001b\\\u001b[2m747\u001b[0m\u001b]8;;\u001b\\\n", + "\u001b[38;5;46m \u001b[0m\u001b[38;5;46m \u001b[0m\u001b[38;5;134mWARNING \u001b[0m \u001b[1;38;5;251m 2D template read from spitzer_example_image.fits is normalized to nan \u001b[0m\u001b[1;38;5;251m \u001b[0m\u001b]8;id=641421;file:///Users/runner/work/astromodels/astromodels/astromodels/functions/functions_2D.py\u001b\\\u001b[2mfunctions_2D.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=708251;file:///Users/runner/work/astromodels/astromodels/astromodels/functions/functions_2D.py#747\u001b\\\u001b[2m747\u001b[0m\u001b]8;;\u001b\\\n", "\u001b[38;5;46m \u001b[0m \u001b[1;38;5;251m(\u001b[0m\u001b[1;38;5;251mexpected: \u001b[0m\u001b[1;37m1\u001b[0m\u001b[1;38;5;251m)\u001b[0m\u001b[1;38;5;251m \u001b[0m\u001b[1;38;5;251m \u001b[0m\u001b[2m \u001b[0m\n" ] }, @@ -976,7 +976,7 @@ }, { "cell_type": "markdown", - "id": "cf1f4472", + "id": "d84ab61e", "metadata": {}, "source": [ "## \"Calling\" extended sources\n", @@ -987,13 +987,13 @@ { "cell_type": "code", "execution_count": 7, - "id": "32f0c477", + "id": "1d44dd09", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:50:17.918157Z", - "iopub.status.busy": "2024-09-10T13:50:17.918049Z", - "iopub.status.idle": "2024-09-10T13:50:18.061753Z", - "shell.execute_reply": "2024-09-10T13:50:18.061331Z" + "iopub.execute_input": "2024-09-10T14:13:54.867125Z", + "iopub.status.busy": "2024-09-10T14:13:54.867007Z", + "iopub.status.idle": "2024-09-10T14:13:55.014110Z", + "shell.execute_reply": "2024-09-10T14:13:55.013686Z" } }, "outputs": [ @@ -1052,7 +1052,7 @@ }, { "cell_type": "markdown", - "id": "e770de0f", + "id": "bbce50b3", "metadata": {}, "source": [ "## Caveats and gotchas\n", @@ -1073,13 +1073,13 @@ { "cell_type": "code", "execution_count": 8, - "id": "cf4ecfbc", + "id": "1c075f07", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:50:18.063776Z", - "iopub.status.busy": "2024-09-10T13:50:18.063668Z", - "iopub.status.idle": "2024-09-10T13:50:18.072595Z", - "shell.execute_reply": "2024-09-10T13:50:18.072208Z" + "iopub.execute_input": "2024-09-10T14:13:55.016124Z", + "iopub.status.busy": "2024-09-10T14:13:55.016022Z", + "iopub.status.idle": "2024-09-10T14:13:55.022621Z", + "shell.execute_reply": "2024-09-10T14:13:55.022255Z" } }, "outputs": [ @@ -1103,7 +1103,7 @@ }, { "cell_type": "markdown", - "id": "1fd0da88", + "id": "9a23fe27", "metadata": {}, "source": [ "## Energy-Dependent Morphology\n", @@ -1117,7 +1117,7 @@ { "cell_type": "code", "execution_count": null, - "id": "92539ecb", + "id": "2619f0ec", "metadata": {}, "outputs": [], "source": [] diff --git a/_sources/notebooks/Functions_tutorial.ipynb.txt b/_sources/notebooks/Functions_tutorial.ipynb.txt index 5576e1b1..429b02d7 100644 --- a/_sources/notebooks/Functions_tutorial.ipynb.txt +++ b/_sources/notebooks/Functions_tutorial.ipynb.txt @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "markdown", - "id": "0bd9fcd4", + "id": "77ef4d0b", "metadata": {}, "source": [ "# Functions tutorial\n", @@ -15,13 +15,13 @@ { "cell_type": "code", "execution_count": 1, - "id": "a9e23f79", + "id": "59a72a7d", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:50:19.259154Z", - "iopub.status.busy": "2024-09-10T13:50:19.258568Z", - "iopub.status.idle": "2024-09-10T13:50:20.415388Z", - "shell.execute_reply": "2024-09-10T13:50:20.414853Z" + "iopub.execute_input": "2024-09-10T14:13:55.915795Z", + "iopub.status.busy": "2024-09-10T14:13:55.915283Z", + "iopub.status.idle": "2024-09-10T14:13:57.146592Z", + "shell.execute_reply": "2024-09-10T14:13:57.145996Z" } }, "outputs": [], @@ -33,20 +33,20 @@ { "cell_type": "code", "execution_count": 2, - "id": "a0b87dc7", + "id": "ae2e139e", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:50:20.417916Z", - "iopub.status.busy": "2024-09-10T13:50:20.417635Z", - "iopub.status.idle": "2024-09-10T13:50:20.423084Z", - "shell.execute_reply": "2024-09-10T13:50:20.422722Z" + "iopub.execute_input": "2024-09-10T14:13:57.149092Z", + "iopub.status.busy": "2024-09-10T14:13:57.148812Z", + "iopub.status.idle": "2024-09-10T14:13:57.154005Z", + "shell.execute_reply": "2024-09-10T14:13:57.153613Z" } }, "outputs": [ { "data": { "text/html": [ - "
\n", + "
\n", "\n", "\n", "\n", @@ -110,7 +110,7 @@ }, { "cell_type": "markdown", - "id": "d35ebde4", + "id": "b667e37d", "metadata": {}, "source": [ "If you need more info about a function, you can obtain it by using:" @@ -119,13 +119,13 @@ { "cell_type": "code", "execution_count": 3, - "id": "032c4ee5", + "id": "061c9d21", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:50:20.425012Z", - "iopub.status.busy": "2024-09-10T13:50:20.424872Z", - "iopub.status.idle": "2024-09-10T13:50:20.427483Z", - "shell.execute_reply": "2024-09-10T13:50:20.427113Z" + "iopub.execute_input": "2024-09-10T14:13:57.156167Z", + "iopub.status.busy": "2024-09-10T14:13:57.156029Z", + "iopub.status.idle": "2024-09-10T14:13:57.158542Z", + "shell.execute_reply": "2024-09-10T14:13:57.158160Z" } }, "outputs": [ @@ -230,7 +230,7 @@ }, { "cell_type": "markdown", - "id": "f5cd2f1f", + "id": "1fe8f7e4", "metadata": {}, "source": [ "Note that you don’t need to create an instance in order to call the info() method." @@ -238,7 +238,7 @@ }, { "cell_type": "markdown", - "id": "1c646885", + "id": "e87a9b60", "metadata": {}, "source": [ "## Creating functions\n", @@ -249,13 +249,13 @@ { "cell_type": "code", "execution_count": 4, - "id": "82e1a8c2", + "id": "a3d4b2c6", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:50:20.429469Z", - "iopub.status.busy": "2024-09-10T13:50:20.429339Z", - "iopub.status.idle": "2024-09-10T13:50:20.437714Z", - "shell.execute_reply": "2024-09-10T13:50:20.437310Z" + "iopub.execute_input": "2024-09-10T14:13:57.160674Z", + "iopub.status.busy": "2024-09-10T14:13:57.160544Z", + "iopub.status.idle": "2024-09-10T14:13:57.168917Z", + "shell.execute_reply": "2024-09-10T14:13:57.168531Z" } }, "outputs": [], @@ -265,7 +265,7 @@ }, { "cell_type": "markdown", - "id": "27705579", + "id": "877d1af9", "metadata": {}, "source": [ "or we can specify on construction specific values for the parameters:" @@ -274,13 +274,13 @@ { "cell_type": "code", "execution_count": 5, - "id": "c88f0421", + "id": "5601c680", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:50:20.439575Z", - "iopub.status.busy": "2024-09-10T13:50:20.439480Z", - "iopub.status.idle": "2024-09-10T13:50:20.447975Z", - "shell.execute_reply": "2024-09-10T13:50:20.447607Z" + "iopub.execute_input": "2024-09-10T14:13:57.170813Z", + "iopub.status.busy": "2024-09-10T14:13:57.170711Z", + "iopub.status.idle": "2024-09-10T14:13:57.179131Z", + "shell.execute_reply": "2024-09-10T14:13:57.178761Z" } }, "outputs": [], @@ -290,7 +290,7 @@ }, { "cell_type": "markdown", - "id": "2daa9d46", + "id": "cc004cba", "metadata": {}, "source": [ "If you don’t remember the names of the parameters just call the .info() method as in powerlaw.info() as demonstrated above." @@ -298,7 +298,7 @@ }, { "cell_type": "markdown", - "id": "e2d9e276", + "id": "97e9c41c", "metadata": {}, "source": [ "## Getting information about an instance\n", @@ -309,13 +309,13 @@ { "cell_type": "code", "execution_count": 6, - "id": "621d779a", + "id": "35d896f7", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:50:20.449915Z", - "iopub.status.busy": "2024-09-10T13:50:20.449820Z", - "iopub.status.idle": "2024-09-10T13:50:20.459713Z", - "shell.execute_reply": "2024-09-10T13:50:20.459367Z" + "iopub.execute_input": "2024-09-10T14:13:57.181088Z", + "iopub.status.busy": "2024-09-10T14:13:57.180986Z", + "iopub.status.idle": "2024-09-10T14:13:57.184735Z", + "shell.execute_reply": "2024-09-10T14:13:57.184399Z" } }, "outputs": [ @@ -449,7 +449,7 @@ }, { "cell_type": "markdown", - "id": "8019a752", + "id": "e0421eeb", "metadata": {}, "source": [ "It is also possible to get the text-only representation by simply printing the object like this:" @@ -458,13 +458,13 @@ { "cell_type": "code", "execution_count": 7, - "id": "8f6ab12b", + "id": "ae8adbdf", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:50:20.461608Z", - "iopub.status.busy": "2024-09-10T13:50:20.461507Z", - "iopub.status.idle": "2024-09-10T13:50:20.470759Z", - "shell.execute_reply": "2024-09-10T13:50:20.470401Z" + "iopub.execute_input": "2024-09-10T14:13:57.186754Z", + "iopub.status.busy": "2024-09-10T14:13:57.186622Z", + "iopub.status.idle": "2024-09-10T14:13:57.189618Z", + "shell.execute_reply": "2024-09-10T14:13:57.189232Z" } }, "outputs": [ @@ -512,7 +512,7 @@ }, { "cell_type": "markdown", - "id": "f25e36a8", + "id": "26a890af", "metadata": {}, "source": [ "
\n", @@ -525,7 +525,7 @@ }, { "cell_type": "markdown", - "id": "09944dce", + "id": "baa6bcbe", "metadata": {}, "source": [ "## Modifying parameters\n", @@ -536,25 +536,25 @@ { "cell_type": "code", "execution_count": 8, - "id": "50418040", + "id": "686ee26a", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:50:20.472746Z", - "iopub.status.busy": "2024-09-10T13:50:20.472645Z", - "iopub.status.idle": "2024-09-10T13:50:20.478463Z", - "shell.execute_reply": "2024-09-10T13:50:20.478131Z" + "iopub.execute_input": "2024-09-10T14:13:57.191778Z", + "iopub.status.busy": "2024-09-10T14:13:57.191644Z", + "iopub.status.idle": "2024-09-10T14:13:57.203645Z", + "shell.execute_reply": "2024-09-10T14:13:57.203275Z" } }, "outputs": [ { "data": { "text/html": [ - "
         WARNING   We have set the min_value of Powerlaw.K to 1e-99 because there was a postive    parameter.py:704\n",
+       "
14:13:57 WARNING   We have set the min_value of Powerlaw.K to 1e-99 because there was a postive    parameter.py:704\n",
        "                  transform                                                                                        \n",
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   },
   {
    "cell_type": "markdown",
-   "id": "07ef0975",
+   "id": "6867cd6a",
    "metadata": {},
    "source": [
     "## Using physical units\n",
@@ -624,13 +624,13 @@
   {
    "cell_type": "code",
    "execution_count": 9,
-   "id": "affb42be",
+   "id": "016600b0",
    "metadata": {
     "execution": {
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-     "iopub.status.idle": "2024-09-10T13:50:20.489241Z",
-     "shell.execute_reply": "2024-09-10T13:50:20.488832Z"
+     "iopub.execute_input": "2024-09-10T14:13:57.205549Z",
+     "iopub.status.busy": "2024-09-10T14:13:57.205450Z",
+     "iopub.status.idle": "2024-09-10T14:13:57.214326Z",
+     "shell.execute_reply": "2024-09-10T14:13:57.213960Z"
     }
    },
    "outputs": [],
@@ -642,7 +642,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "12c0d593",
+   "id": "eedcef76",
    "metadata": {},
    "source": [
     "Now we can see the units"
@@ -651,13 +651,13 @@
   {
    "cell_type": "code",
    "execution_count": 10,
-   "id": "68cfa764",
+   "id": "1a925c0a",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:20.491107Z",
-     "iopub.status.busy": "2024-09-10T13:50:20.491011Z",
-     "iopub.status.idle": "2024-09-10T13:50:20.495051Z",
-     "shell.execute_reply": "2024-09-10T13:50:20.494686Z"
+     "iopub.execute_input": "2024-09-10T14:13:57.216224Z",
+     "iopub.status.busy": "2024-09-10T14:13:57.216125Z",
+     "iopub.status.idle": "2024-09-10T14:13:57.219832Z",
+     "shell.execute_reply": "2024-09-10T14:13:57.219467Z"
     }
    },
    "outputs": [
@@ -792,13 +792,13 @@
   {
    "cell_type": "code",
    "execution_count": 11,
-   "id": "b639342f",
+   "id": "91693682",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:20.496923Z",
-     "iopub.status.busy": "2024-09-10T13:50:20.496791Z",
-     "iopub.status.idle": "2024-09-10T13:50:20.499169Z",
-     "shell.execute_reply": "2024-09-10T13:50:20.498790Z"
+     "iopub.execute_input": "2024-09-10T14:13:57.221748Z",
+     "iopub.status.busy": "2024-09-10T14:13:57.221615Z",
+     "iopub.status.idle": "2024-09-10T14:13:57.230102Z",
+     "shell.execute_reply": "2024-09-10T14:13:57.229719Z"
     }
    },
    "outputs": [
@@ -823,13 +823,13 @@
   {
    "cell_type": "code",
    "execution_count": 12,
-   "id": "b747c2a7",
+   "id": "c4c06066",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:20.501189Z",
-     "iopub.status.busy": "2024-09-10T13:50:20.501063Z",
-     "iopub.status.idle": "2024-09-10T13:50:20.509468Z",
-     "shell.execute_reply": "2024-09-10T13:50:20.509082Z"
+     "iopub.execute_input": "2024-09-10T14:13:57.231939Z",
+     "iopub.status.busy": "2024-09-10T14:13:57.231841Z",
+     "iopub.status.idle": "2024-09-10T14:13:57.240338Z",
+     "shell.execute_reply": "2024-09-10T14:13:57.239986Z"
     }
    },
    "outputs": [
@@ -854,13 +854,13 @@
   {
    "cell_type": "code",
    "execution_count": 13,
-   "id": "17d2729f",
+   "id": "99b8811d",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:20.511236Z",
-     "iopub.status.busy": "2024-09-10T13:50:20.511141Z",
-     "iopub.status.idle": "2024-09-10T13:50:20.514296Z",
-     "shell.execute_reply": "2024-09-10T13:50:20.513963Z"
+     "iopub.execute_input": "2024-09-10T14:13:57.242159Z",
+     "iopub.status.busy": "2024-09-10T14:13:57.242056Z",
+     "iopub.status.idle": "2024-09-10T14:13:57.251125Z",
+     "shell.execute_reply": "2024-09-10T14:13:57.250769Z"
     }
    },
    "outputs": [
@@ -893,7 +893,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3ea6fba0",
+   "id": "85a2da31",
    "metadata": {},
    "source": [
     "We see that astromodels does the unit conversion for us in the background!\n",
@@ -904,13 +904,13 @@
   {
    "cell_type": "code",
    "execution_count": 14,
-   "id": "ee97e5ae",
+   "id": "8a97cb70",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:20.516202Z",
-     "iopub.status.busy": "2024-09-10T13:50:20.516067Z",
-     "iopub.status.idle": "2024-09-10T13:50:24.745600Z",
-     "shell.execute_reply": "2024-09-10T13:50:24.745151Z"
+     "iopub.execute_input": "2024-09-10T14:13:57.253066Z",
+     "iopub.status.busy": "2024-09-10T14:13:57.252968Z",
+     "iopub.status.idle": "2024-09-10T14:14:01.580435Z",
+     "shell.execute_reply": "2024-09-10T14:14:01.579954Z"
     }
    },
    "outputs": [
@@ -918,7 +918,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "5.2 µs ± 62.8 ns per loop (mean ± std. dev. of 7 runs, 100,000 loops each)\n"
+      "5.33 µs ± 123 ns per loop (mean ± std. dev. of 7 runs, 100,000 loops each)\n"
      ]
     }
    ],
@@ -929,13 +929,13 @@
   {
    "cell_type": "code",
    "execution_count": 15,
-   "id": "fe2113ad",
+   "id": "b9eb4278",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:24.747706Z",
-     "iopub.status.busy": "2024-09-10T13:50:24.747569Z",
-     "iopub.status.idle": "2024-09-10T13:50:32.172868Z",
-     "shell.execute_reply": "2024-09-10T13:50:32.172033Z"
+     "iopub.execute_input": "2024-09-10T14:14:01.582517Z",
+     "iopub.status.busy": "2024-09-10T14:14:01.582406Z",
+     "iopub.status.idle": "2024-09-10T14:14:08.870282Z",
+     "shell.execute_reply": "2024-09-10T14:14:08.869834Z"
     }
    },
    "outputs": [
@@ -943,7 +943,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "92.2 µs ± 4.37 µs per loop (mean ± std. dev. of 7 runs, 10,000 loops each)\n"
+      "90 µs ± 2.11 µs per loop (mean ± std. dev. of 7 runs, 10,000 loops each)\n"
      ]
     }
    ],
@@ -953,7 +953,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "40ff4795",
+   "id": "eab79daf",
    "metadata": {},
    "source": [
     "As you can see using **astropy.units requires about 10x more than using a plain assignment**. In an interactive analysis you are unlikely to notice the difference, but if you use units in a loop or during a fit this slow-down will add up an become very noticeable. **Note that this is a feature of astropy.units, not of astromodels.**"
@@ -961,7 +961,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "84791ce7",
+   "id": "e3dcf1cf",
    "metadata": {},
    "source": [
     "## Composing functions\n",
@@ -972,13 +972,13 @@
   {
    "cell_type": "code",
    "execution_count": 16,
-   "id": "11eb814d",
+   "id": "d3ba22e1",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:32.176529Z",
-     "iopub.status.busy": "2024-09-10T13:50:32.176317Z",
-     "iopub.status.idle": "2024-09-10T13:50:32.187002Z",
-     "shell.execute_reply": "2024-09-10T13:50:32.186303Z"
+     "iopub.execute_input": "2024-09-10T14:14:08.872484Z",
+     "iopub.status.busy": "2024-09-10T14:14:08.872376Z",
+     "iopub.status.idle": "2024-09-10T14:14:08.875427Z",
+     "shell.execute_reply": "2024-09-10T14:14:08.875034Z"
     }
    },
    "outputs": [
@@ -1000,7 +1000,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "85e7b47b",
+   "id": "b4436396",
    "metadata": {},
    "source": [
     "These expressions can be as complex as needed. For example:"
@@ -1009,13 +1009,13 @@
   {
    "cell_type": "code",
    "execution_count": 17,
-   "id": "d098c3dc",
+   "id": "6a2137fe",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:32.190148Z",
-     "iopub.status.busy": "2024-09-10T13:50:32.189959Z",
-     "iopub.status.idle": "2024-09-10T13:50:32.203058Z",
-     "shell.execute_reply": "2024-09-10T13:50:32.202364Z"
+     "iopub.execute_input": "2024-09-10T14:14:08.877437Z",
+     "iopub.status.busy": "2024-09-10T14:14:08.877301Z",
+     "iopub.status.idle": "2024-09-10T14:14:08.881815Z",
+     "shell.execute_reply": "2024-09-10T14:14:08.881441Z"
     }
    },
    "outputs": [
@@ -1035,7 +1035,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a138f544",
+   "id": "ca57d4dc",
    "metadata": {},
    "source": [
     "The numbers between ```{}``` enumerate the unique functions which constitute a composite function. This is useful because composite functions can be created starting from pre-existing instances of functions, in which case the same instance can be used more than once. For example:"
@@ -1044,13 +1044,13 @@
   {
    "cell_type": "code",
    "execution_count": 18,
-   "id": "65a0d4c4",
+   "id": "c2e67c00",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:32.206692Z",
-     "iopub.status.busy": "2024-09-10T13:50:32.206511Z",
-     "iopub.status.idle": "2024-09-10T13:50:32.217338Z",
-     "shell.execute_reply": "2024-09-10T13:50:32.216654Z"
+     "iopub.execute_input": "2024-09-10T14:14:08.883860Z",
+     "iopub.status.busy": "2024-09-10T14:14:08.883724Z",
+     "iopub.status.idle": "2024-09-10T14:14:08.887342Z",
+     "shell.execute_reply": "2024-09-10T14:14:08.886895Z"
     }
    },
    "outputs": [
@@ -1073,7 +1073,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a278a764",
+   "id": "f821387f",
    "metadata": {},
    "source": [
     "In this case the same instance of a power law has been used twice. Changing the value of the parameters for “a_powerlaw” will affect also the second part of the expression. Instead, by doing this:"
@@ -1082,13 +1082,13 @@
   {
    "cell_type": "code",
    "execution_count": 19,
-   "id": "9469f547",
+   "id": "ac04916b",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:32.220521Z",
-     "iopub.status.busy": "2024-09-10T13:50:32.220327Z",
-     "iopub.status.idle": "2024-09-10T13:50:32.225561Z",
-     "shell.execute_reply": "2024-09-10T13:50:32.224859Z"
+     "iopub.execute_input": "2024-09-10T14:14:08.889349Z",
+     "iopub.status.busy": "2024-09-10T14:14:08.889254Z",
+     "iopub.status.idle": "2024-09-10T14:14:08.898909Z",
+     "shell.execute_reply": "2024-09-10T14:14:08.898513Z"
     }
    },
    "outputs": [
@@ -1108,7 +1108,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1a784f54",
+   "id": "22e4aa5d",
    "metadata": {},
    "source": [
     "we will end up with two independent sets of parameters for the two power laws. The difference can be seen immediately from the number of parameters of the two composite functions:"
@@ -1117,13 +1117,13 @@
   {
    "cell_type": "code",
    "execution_count": 20,
-   "id": "fb46ea2b",
+   "id": "ea4b2126",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:32.229407Z",
-     "iopub.status.busy": "2024-09-10T13:50:32.229207Z",
-     "iopub.status.idle": "2024-09-10T13:50:32.233300Z",
-     "shell.execute_reply": "2024-09-10T13:50:32.232276Z"
+     "iopub.execute_input": "2024-09-10T14:14:08.900812Z",
+     "iopub.status.busy": "2024-09-10T14:14:08.900711Z",
+     "iopub.status.idle": "2024-09-10T14:14:08.902958Z",
+     "shell.execute_reply": "2024-09-10T14:14:08.902562Z"
     }
    },
    "outputs": [
@@ -1143,7 +1143,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7f1d9bbf",
+   "id": "6493f6fc",
    "metadata": {},
    "source": [
     "## Creating custom functions\n",
@@ -1156,13 +1156,13 @@
   {
    "cell_type": "code",
    "execution_count": 21,
-   "id": "b4ac0af4",
+   "id": "f51cc170",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:32.237191Z",
-     "iopub.status.busy": "2024-09-10T13:50:32.236988Z",
-     "iopub.status.idle": "2024-09-10T13:50:32.246026Z",
-     "shell.execute_reply": "2024-09-10T13:50:32.244645Z"
+     "iopub.execute_input": "2024-09-10T14:14:08.904942Z",
+     "iopub.status.busy": "2024-09-10T14:14:08.904809Z",
+     "iopub.status.idle": "2024-09-10T14:14:08.911139Z",
+     "shell.execute_reply": "2024-09-10T14:14:08.910707Z"
     }
    },
    "outputs": [],
@@ -1172,7 +1172,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ca9a0cd3",
+   "id": "a498b25e",
    "metadata": {},
    "source": [
     "```Function1D``` is the base class for 1D spectral models and ```FunctionMeta``` is a python meta type class that ensures all the needed parts of a model are in the class as well as making the class function as it should.\n",
@@ -1238,7 +1238,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "26dbaa04",
+   "id": "b1226db1",
    "metadata": {},
    "source": [
     "### The docstring\n",
@@ -1281,13 +1281,13 @@
   {
    "cell_type": "code",
    "execution_count": 22,
-   "id": "eaf98f74",
+   "id": "c6cd6445",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:32.249724Z",
-     "iopub.status.busy": "2024-09-10T13:50:32.249478Z",
-     "iopub.status.idle": "2024-09-10T13:50:32.252667Z",
-     "shell.execute_reply": "2024-09-10T13:50:32.251991Z"
+     "iopub.execute_input": "2024-09-10T14:14:08.913114Z",
+     "iopub.status.busy": "2024-09-10T14:14:08.913019Z",
+     "iopub.status.idle": "2024-09-10T14:14:08.918916Z",
+     "shell.execute_reply": "2024-09-10T14:14:08.918523Z"
     }
    },
    "outputs": [],
@@ -1303,13 +1303,13 @@
   {
    "cell_type": "code",
    "execution_count": 23,
-   "id": "e1b65070",
+   "id": "01f797dd",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:32.256913Z",
-     "iopub.status.busy": "2024-09-10T13:50:32.256688Z",
-     "iopub.status.idle": "2024-09-10T13:50:32.261006Z",
-     "shell.execute_reply": "2024-09-10T13:50:32.259924Z"
+     "iopub.execute_input": "2024-09-10T14:14:08.920974Z",
+     "iopub.status.busy": "2024-09-10T14:14:08.920823Z",
+     "iopub.status.idle": "2024-09-10T14:14:08.923867Z",
+     "shell.execute_reply": "2024-09-10T14:14:08.923490Z"
     }
    },
    "outputs": [
@@ -1330,7 +1330,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0a661fe5",
+   "id": "16544621",
    "metadata": {},
    "source": [
     "Now we will define a astromodels function that will handle both the unit and non-unit call."
@@ -1339,13 +1339,13 @@
   {
    "cell_type": "code",
    "execution_count": 24,
-   "id": "c1412b9f",
+   "id": "4341d7e4",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:32.265124Z",
-     "iopub.status.busy": "2024-09-10T13:50:32.264910Z",
-     "iopub.status.idle": "2024-09-10T13:50:32.271143Z",
-     "shell.execute_reply": "2024-09-10T13:50:32.270220Z"
+     "iopub.execute_input": "2024-09-10T14:14:08.925890Z",
+     "iopub.status.busy": "2024-09-10T14:14:08.925750Z",
+     "iopub.status.idle": "2024-09-10T14:14:08.929790Z",
+     "shell.execute_reply": "2024-09-10T14:14:08.929423Z"
     }
    },
    "outputs": [],
@@ -1403,7 +1403,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "47969d3f",
+   "id": "70147142",
    "metadata": {},
    "source": [
     "We can check the unit and non-unit call by making a point source and evaluating it"
@@ -1412,13 +1412,13 @@
   {
    "cell_type": "code",
    "execution_count": 25,
-   "id": "7f225d84",
+   "id": "4aa45f68",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:32.274866Z",
-     "iopub.status.busy": "2024-09-10T13:50:32.274577Z",
-     "iopub.status.idle": "2024-09-10T13:50:32.840739Z",
-     "shell.execute_reply": "2024-09-10T13:50:32.839715Z"
+     "iopub.execute_input": "2024-09-10T14:14:08.931695Z",
+     "iopub.status.busy": "2024-09-10T14:14:08.931589Z",
+     "iopub.status.idle": "2024-09-10T14:14:09.468498Z",
+     "shell.execute_reply": "2024-09-10T14:14:09.467756Z"
     }
    },
    "outputs": [
@@ -1456,7 +1456,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a9fc62c0",
+   "id": "8256a46d",
    "metadata": {},
    "source": [
     "## Advanced functions\n",
@@ -1470,13 +1470,13 @@
   {
    "cell_type": "code",
    "execution_count": 26,
-   "id": "6881f044",
+   "id": "aafa5954",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:32.844744Z",
-     "iopub.status.busy": "2024-09-10T13:50:32.844426Z",
-     "iopub.status.idle": "2024-09-10T13:50:32.855041Z",
-     "shell.execute_reply": "2024-09-10T13:50:32.854223Z"
+     "iopub.execute_input": "2024-09-10T14:14:09.471074Z",
+     "iopub.status.busy": "2024-09-10T14:14:09.470945Z",
+     "iopub.status.idle": "2024-09-10T14:14:09.483058Z",
+     "shell.execute_reply": "2024-09-10T14:14:09.482555Z"
     }
    },
    "outputs": [],
@@ -1530,7 +1530,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "753ae6f1",
+   "id": "f022e685",
    "metadata": {},
    "source": [
     "We have added a text parameter called switch and specified the allowed values that it can take on. We can of course allow it to take on any value. Additionally, we have specified a function to call whenever we change the value. This allows use to do things like read in a table from a dictionary or load a file, etc. Properties can be set in the constructor of a function. They behave just like parameters except that they do not participate in the function call. Thus, their state is saved whenever you serialize the model to disk. "
@@ -1539,13 +1539,13 @@
   {
    "cell_type": "code",
    "execution_count": 27,
-   "id": "c2189bf5",
+   "id": "6e3ffbe2",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:32.858822Z",
-     "iopub.status.busy": "2024-09-10T13:50:32.858595Z",
-     "iopub.status.idle": "2024-09-10T13:50:32.862455Z",
-     "shell.execute_reply": "2024-09-10T13:50:32.861425Z"
+     "iopub.execute_input": "2024-09-10T14:14:09.485280Z",
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@@ -1569,7 +1569,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9ed2e917",
+   "id": "82e67ad7",
    "metadata": {},
    "source": [
     "In the docstring, one can also specify ```defer: True``` which allows you to not set a value until instancing an object. This is useful if you have a model that reads in file at runtime, but the file name is not known until then. Check out the source code of astromodels to see how properties can be used to expand the functionality of your custom models. For example, the absorption models such as ```TbAbs``` take advantage of this to set their abundance tables.\n",
@@ -1582,13 +1582,13 @@
   {
    "cell_type": "code",
    "execution_count": 28,
-   "id": "5b6a9812",
+   "id": "8b8364ee",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:32.866293Z",
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-     "shell.execute_reply": "2024-09-10T13:50:32.871127Z"
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    "outputs": [],
@@ -1658,7 +1658,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "00466670",
+   "id": "160d6547",
    "metadata": {},
    "source": [
     "With this function, whenever we set the linked_function property to another astromodels function, its call will return that function redshifted."
@@ -1667,13 +1667,13 @@
   {
    "cell_type": "code",
    "execution_count": 29,
-   "id": "1fa92993",
+   "id": "5cfbf371",
    "metadata": {
     "execution": {
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-     "shell.execute_reply": "2024-09-10T13:50:33.014522Z"
+     "iopub.execute_input": "2024-09-10T14:14:09.503005Z",
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+     "iopub.status.idle": "2024-09-10T14:14:09.619916Z",
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    },
@@ -1701,7 +1701,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a0958cbe",
+   "id": "55f32325",
    "metadata": {},
    "source": [
     "We have added a lot of syntax sugar to make it easier for users to handle the function, but every function in astromodels has the members ```f.link_external_function(func, 'internal_name')```  and ```f.unlink_external_function('internal_name')```. You can link as many functions as needed and they are accessed via an internal dictionary ```self._extranal_functions```. As long as all functions used are part of the model, all the linking is saved when a model is saved to disk allowing you to restore all the complexity you built. "
diff --git a/_sources/notebooks/Gamma.ipynb.txt b/_sources/notebooks/Gamma.ipynb.txt
index 5d37c1c6..46a250b5 100644
--- a/_sources/notebooks/Gamma.ipynb.txt
+++ b/_sources/notebooks/Gamma.ipynb.txt
@@ -2,13 +2,13 @@
  "cells": [
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@@ -20,20 +20,20 @@
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@@ -60,20 +60,20 @@
   {
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@@ -90,19 +90,19 @@
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@@ -119,21 +119,21 @@
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-   "id": "e4cf729e",
+   "id": "c777f9ab",
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     "nbsphinx": "hidden",
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@@ -160,14 +160,14 @@
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+   "id": "c559d453",
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@@ -179,19 +179,19 @@
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-   "id": "d8f7e216",
+   "id": "6bd439ac",
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@@ -295,13 +295,13 @@
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   {
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-   "id": "356426ff",
+   "id": "3c0cc65f",
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@@ -317,19 +317,19 @@
   {
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-   "id": "606a060c",
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@@ -370,13 +370,13 @@
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+   "id": "f6f47cc0",
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@@ -390,19 +390,19 @@
   {
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-   "id": "c00ce8e9",
+   "id": "63a6ffbc",
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-     "shell.execute_reply": "2024-09-10T13:53:37.261548Z"
+     "iopub.execute_input": "2024-09-10T14:17:20.728753Z",
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+     "shell.execute_reply": "2024-09-10T14:17:21.075264Z"
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@@ -420,7 +420,7 @@
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",
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",
       "text/plain": [
        "
"
       ]
@@ -471,8 +471,8 @@
   },
   "papermill": {
    "default_parameters": {},
-   "duration": 2.868348,
-   "end_time": "2024-09-10T13:53:37.600829",
+   "duration": 2.984981,
+   "end_time": "2024-09-10T14:17:21.511052",
    "environment_variables": {},
    "exception": null,
    "input_path": "Gamma.ipynb",
@@ -481,7 +481,7 @@
     "func_name": "Gamma",
     "positive_prior": true
    },
-   "start_time": "2024-09-10T13:53:34.732481",
+   "start_time": "2024-09-10T14:17:18.526071",
    "version": "2.6.0"
   }
  },
diff --git a/_sources/notebooks/Gaussian.ipynb.txt b/_sources/notebooks/Gaussian.ipynb.txt
index 03e59efa..659ac5b2 100644
--- a/_sources/notebooks/Gaussian.ipynb.txt
+++ b/_sources/notebooks/Gaussian.ipynb.txt
@@ -2,13 +2,13 @@
  "cells": [
   {
    "cell_type": "markdown",
-   "id": "05731ce9",
+   "id": "439f4872",
    "metadata": {
     "papermill": {
-     "duration": 0.009045,
-     "end_time": "2024-09-10T13:53:13.802181",
+     "duration": 0.009974,
+     "end_time": "2024-09-10T14:16:55.332136",
      "exception": false,
-     "start_time": "2024-09-10T13:53:13.793136",
+     "start_time": "2024-09-10T14:16:55.322162",
      "status": "completed"
     },
     "tags": []
@@ -20,20 +20,20 @@
   {
    "cell_type": "code",
    "execution_count": 1,
-   "id": "a424461d",
+   "id": "1a874ac7",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:53:13.818406Z",
-     "iopub.status.busy": "2024-09-10T13:53:13.817507Z",
-     "iopub.status.idle": "2024-09-10T13:53:15.243476Z",
-     "shell.execute_reply": "2024-09-10T13:53:15.242999Z"
+     "iopub.execute_input": "2024-09-10T14:16:55.345088Z",
+     "iopub.status.busy": "2024-09-10T14:16:55.344380Z",
+     "iopub.status.idle": "2024-09-10T14:16:56.758368Z",
+     "shell.execute_reply": "2024-09-10T14:16:56.757852Z"
     },
     "nbsphinx": "hidden",
     "papermill": {
-     "duration": 1.435621,
-     "end_time": "2024-09-10T13:53:15.244976",
+     "duration": 1.422137,
+     "end_time": "2024-09-10T14:16:56.759912",
      "exception": false,
-     "start_time": "2024-09-10T13:53:13.809355",
+     "start_time": "2024-09-10T14:16:55.337775",
      "status": "completed"
     },
     "tags": []
@@ -60,20 +60,20 @@
   {
    "cell_type": "code",
    "execution_count": 2,
-   "id": "f37a7ef8",
+   "id": "1fea9ee6",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:53:15.248064Z",
-     "iopub.status.busy": "2024-09-10T13:53:15.247749Z",
-     "iopub.status.idle": "2024-09-10T13:53:15.256188Z",
-     "shell.execute_reply": "2024-09-10T13:53:15.255741Z"
+     "iopub.execute_input": "2024-09-10T14:16:56.763022Z",
+     "iopub.status.busy": "2024-09-10T14:16:56.762689Z",
+     "iopub.status.idle": "2024-09-10T14:16:56.771023Z",
+     "shell.execute_reply": "2024-09-10T14:16:56.770659Z"
     },
     "nbsphinx": "hidden",
     "papermill": {
-     "duration": 0.011332,
-     "end_time": "2024-09-10T13:53:15.257500",
+     "duration": 0.011263,
+     "end_time": "2024-09-10T14:16:56.772364",
      "exception": false,
-     "start_time": "2024-09-10T13:53:15.246168",
+     "start_time": "2024-09-10T14:16:56.761101",
      "status": "completed"
     },
     "tags": [
@@ -90,19 +90,19 @@
   {
    "cell_type": "code",
    "execution_count": 3,
-   "id": "0783d507",
+   "id": "c7b83a63",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:53:15.260109Z",
-     "iopub.status.busy": "2024-09-10T13:53:15.259967Z",
-     "iopub.status.idle": "2024-09-10T13:53:15.267663Z",
-     "shell.execute_reply": "2024-09-10T13:53:15.267265Z"
+     "iopub.execute_input": "2024-09-10T14:16:56.775001Z",
+     "iopub.status.busy": "2024-09-10T14:16:56.774853Z",
+     "iopub.status.idle": "2024-09-10T14:16:56.782781Z",
+     "shell.execute_reply": "2024-09-10T14:16:56.782412Z"
     },
     "papermill": {
-     "duration": 0.010369,
-     "end_time": "2024-09-10T13:53:15.268882",
+     "duration": 0.010682,
+     "end_time": "2024-09-10T14:16:56.784083",
      "exception": false,
-     "start_time": "2024-09-10T13:53:15.258513",
+     "start_time": "2024-09-10T14:16:56.773401",
      "status": "completed"
     },
     "tags": [
@@ -119,21 +119,21 @@
   {
    "cell_type": "code",
    "execution_count": 4,
-   "id": "61711fa2",
+   "id": "9eb1ed1b",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:53:15.271560Z",
-     "iopub.status.busy": "2024-09-10T13:53:15.271421Z",
-     "iopub.status.idle": "2024-09-10T13:53:15.280452Z",
-     "shell.execute_reply": "2024-09-10T13:53:15.280072Z"
+     "iopub.execute_input": "2024-09-10T14:16:56.786870Z",
+     "iopub.status.busy": "2024-09-10T14:16:56.786728Z",
+     "iopub.status.idle": "2024-09-10T14:16:56.789489Z",
+     "shell.execute_reply": "2024-09-10T14:16:56.789107Z"
     },
     "lines_to_next_cell": 0,
     "nbsphinx": "hidden",
     "papermill": {
-     "duration": 0.011844,
-     "end_time": "2024-09-10T13:53:15.281711",
+     "duration": 0.005592,
+     "end_time": "2024-09-10T14:16:56.790742",
      "exception": false,
-     "start_time": "2024-09-10T13:53:15.269867",
+     "start_time": "2024-09-10T14:16:56.785150",
      "status": "completed"
     },
     "tags": []
@@ -160,14 +160,14 @@
   },
   {
    "cell_type": "markdown",
-   "id": "67d8df22",
+   "id": "51348eda",
    "metadata": {
     "lines_to_next_cell": 0,
     "papermill": {
-     "duration": 0.001024,
-     "end_time": "2024-09-10T13:53:15.283811",
+     "duration": 0.001015,
+     "end_time": "2024-09-10T14:16:56.792798",
      "exception": false,
-     "start_time": "2024-09-10T13:53:15.282787",
+     "start_time": "2024-09-10T14:16:56.791783",
      "status": "completed"
     },
     "tags": []
@@ -179,19 +179,19 @@
   {
    "cell_type": "code",
    "execution_count": 5,
-   "id": "94c73a31",
+   "id": "f445c529",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:53:15.286347Z",
-     "iopub.status.busy": "2024-09-10T13:53:15.286216Z",
-     "iopub.status.idle": "2024-09-10T13:53:15.290207Z",
-     "shell.execute_reply": "2024-09-10T13:53:15.289753Z"
+     "iopub.execute_input": "2024-09-10T14:16:56.795379Z",
+     "iopub.status.busy": "2024-09-10T14:16:56.795240Z",
+     "iopub.status.idle": "2024-09-10T14:16:56.799251Z",
+     "shell.execute_reply": "2024-09-10T14:16:56.798773Z"
     },
     "papermill": {
-     "duration": 0.006696,
-     "end_time": "2024-09-10T13:53:15.291481",
+     "duration": 0.006753,
+     "end_time": "2024-09-10T14:16:56.800520",
      "exception": false,
-     "start_time": "2024-09-10T13:53:15.284785",
+     "start_time": "2024-09-10T14:16:56.793767",
      "status": "completed"
     },
     "tags": []
@@ -327,13 +327,13 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e42b2857",
+   "id": "2f2fbb32",
    "metadata": {
     "papermill": {
-     "duration": 0.00107,
-     "end_time": "2024-09-10T13:53:15.293671",
+     "duration": 0.001128,
+     "end_time": "2024-09-10T14:16:56.802770",
      "exception": false,
-     "start_time": "2024-09-10T13:53:15.292601",
+     "start_time": "2024-09-10T14:16:56.801642",
      "status": "completed"
     },
     "tags": []
@@ -349,19 +349,19 @@
   {
    "cell_type": "code",
    "execution_count": 6,
-   "id": "b79b9d93",
+   "id": "2f7ef523",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:53:15.296447Z",
-     "iopub.status.busy": "2024-09-10T13:53:15.296299Z",
-     "iopub.status.idle": "2024-09-10T13:53:15.396460Z",
-     "shell.execute_reply": "2024-09-10T13:53:15.396105Z"
+     "iopub.execute_input": "2024-09-10T14:16:56.805592Z",
+     "iopub.status.busy": "2024-09-10T14:16:56.805452Z",
+     "iopub.status.idle": "2024-09-10T14:16:56.909886Z",
+     "shell.execute_reply": "2024-09-10T14:16:56.909478Z"
     },
     "papermill": {
-     "duration": 0.103243,
-     "end_time": "2024-09-10T13:53:15.397933",
+     "duration": 0.107315,
+     "end_time": "2024-09-10T14:16:56.911164",
      "exception": false,
-     "start_time": "2024-09-10T13:53:15.294690",
+     "start_time": "2024-09-10T14:16:56.803849",
      "status": "completed"
     },
     "tags": [
@@ -402,13 +402,13 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0a4c3592",
+   "id": "471190be",
    "metadata": {
     "papermill": {
-     "duration": 0.001628,
-     "end_time": "2024-09-10T13:53:15.401652",
+     "duration": 0.001393,
+     "end_time": "2024-09-10T14:16:56.914580",
      "exception": false,
-     "start_time": "2024-09-10T13:53:15.400024",
+     "start_time": "2024-09-10T14:16:56.913187",
      "status": "completed"
     },
     "tags": []
@@ -422,19 +422,19 @@
   {
    "cell_type": "code",
    "execution_count": 7,
-   "id": "f5b0f43b",
+   "id": "5d7068a7",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:53:15.405195Z",
-     "iopub.status.busy": "2024-09-10T13:53:15.405053Z",
-     "iopub.status.idle": "2024-09-10T13:53:15.523720Z",
-     "shell.execute_reply": "2024-09-10T13:53:15.523291Z"
+     "iopub.execute_input": "2024-09-10T14:16:56.917914Z",
+     "iopub.status.busy": "2024-09-10T14:16:56.917772Z",
+     "iopub.status.idle": "2024-09-10T14:16:57.031902Z",
+     "shell.execute_reply": "2024-09-10T14:16:57.031578Z"
     },
     "papermill": {
-     "duration": 0.121984,
-     "end_time": "2024-09-10T13:53:15.524992",
+     "duration": 0.117373,
+     "end_time": "2024-09-10T14:16:57.033285",
      "exception": false,
-     "start_time": "2024-09-10T13:53:15.403008",
+     "start_time": "2024-09-10T14:16:56.915912",
      "status": "completed"
     },
     "tags": []
@@ -452,7 +452,7 @@
     },
     {
      "data": {
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",
+      "image/png": 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",
       "text/plain": [
        "
"
       ]
@@ -503,8 +503,8 @@
   },
   "papermill": {
    "default_parameters": {},
-   "duration": 2.633987,
-   "end_time": "2024-09-10T13:53:15.854653",
+   "duration": 2.82576,
+   "end_time": "2024-09-10T14:16:57.467936",
    "environment_variables": {},
    "exception": null,
    "input_path": "Gaussian.ipynb",
@@ -513,7 +513,7 @@
     "func_name": "Gaussian",
     "positive_prior": false
    },
-   "start_time": "2024-09-10T13:53:13.220666",
+   "start_time": "2024-09-10T14:16:54.642176",
    "version": "2.6.0"
   }
  },
diff --git a/_sources/notebooks/Gaussian_on_sphere.ipynb.txt b/_sources/notebooks/Gaussian_on_sphere.ipynb.txt
index 0a0a5464..eee08bf3 100644
--- a/_sources/notebooks/Gaussian_on_sphere.ipynb.txt
+++ b/_sources/notebooks/Gaussian_on_sphere.ipynb.txt
@@ -2,13 +2,13 @@
  "cells": [
   {
    "cell_type": "markdown",
-   "id": "52e419a6",
+   "id": "fb0c9633",
    "metadata": {
     "papermill": {
-     "duration": 0.005478,
-     "end_time": "2024-09-10T13:52:59.549805",
+     "duration": 0.009241,
+     "end_time": "2024-09-10T14:16:41.239734",
      "exception": false,
-     "start_time": "2024-09-10T13:52:59.544327",
+     "start_time": "2024-09-10T14:16:41.230493",
      "status": "completed"
     },
     "tags": []
@@ -20,20 +20,20 @@
   {
    "cell_type": "code",
    "execution_count": 1,
-   "id": "837ab4a5",
+   "id": "3c34832b",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:52:59.563129Z",
-     "iopub.status.busy": "2024-09-10T13:52:59.562435Z",
-     "iopub.status.idle": "2024-09-10T13:53:01.220472Z",
-     "shell.execute_reply": "2024-09-10T13:53:01.219981Z"
+     "iopub.execute_input": "2024-09-10T14:16:41.254427Z",
+     "iopub.status.busy": "2024-09-10T14:16:41.253632Z",
+     "iopub.status.idle": "2024-09-10T14:16:42.925386Z",
+     "shell.execute_reply": "2024-09-10T14:16:42.924883Z"
     },
     "nbsphinx": "hidden",
     "papermill": {
-     "duration": 1.666333,
-     "end_time": "2024-09-10T13:53:01.222206",
+     "duration": 1.680786,
+     "end_time": "2024-09-10T14:16:42.927027",
      "exception": false,
-     "start_time": "2024-09-10T13:52:59.555873",
+     "start_time": "2024-09-10T14:16:41.246241",
      "status": "completed"
     },
     "tags": []
@@ -68,20 +68,20 @@
   {
    "cell_type": "code",
    "execution_count": 2,
-   "id": "b9de4352",
+   "id": "c4ef2808",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:53:01.225438Z",
-     "iopub.status.busy": "2024-09-10T13:53:01.225097Z",
-     "iopub.status.idle": "2024-09-10T13:53:01.227301Z",
-     "shell.execute_reply": "2024-09-10T13:53:01.226927Z"
+     "iopub.execute_input": "2024-09-10T14:16:42.930119Z",
+     "iopub.status.busy": "2024-09-10T14:16:42.929802Z",
+     "iopub.status.idle": "2024-09-10T14:16:42.932281Z",
+     "shell.execute_reply": "2024-09-10T14:16:42.931913Z"
     },
     "nbsphinx": "hidden",
     "papermill": {
-     "duration": 0.005015,
-     "end_time": "2024-09-10T13:53:01.228590",
+     "duration": 0.005534,
+     "end_time": "2024-09-10T14:16:42.933750",
      "exception": false,
-     "start_time": "2024-09-10T13:53:01.223575",
+     "start_time": "2024-09-10T14:16:42.928216",
      "status": "completed"
     },
     "tags": [
@@ -96,19 +96,19 @@
   {
    "cell_type": "code",
    "execution_count": 3,
-   "id": "7ec0783b",
+   "id": "b90bc295",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:53:01.231017Z",
-     "iopub.status.busy": "2024-09-10T13:53:01.230865Z",
-     "iopub.status.idle": "2024-09-10T13:53:01.236993Z",
-     "shell.execute_reply": "2024-09-10T13:53:01.236592Z"
+     "iopub.execute_input": "2024-09-10T14:16:42.936264Z",
+     "iopub.status.busy": "2024-09-10T14:16:42.936108Z",
+     "iopub.status.idle": "2024-09-10T14:16:42.941942Z",
+     "shell.execute_reply": "2024-09-10T14:16:42.941586Z"
     },
     "papermill": {
-     "duration": 0.008745,
-     "end_time": "2024-09-10T13:53:01.238260",
+     "duration": 0.008437,
+     "end_time": "2024-09-10T14:16:42.943134",
      "exception": false,
-     "start_time": "2024-09-10T13:53:01.229515",
+     "start_time": "2024-09-10T14:16:42.934697",
      "status": "completed"
     },
     "tags": [
@@ -124,21 +124,21 @@
   {
    "cell_type": "code",
    "execution_count": 4,
-   "id": "fb5dae12",
+   "id": "dbb3f537",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:53:01.241794Z",
-     "iopub.status.busy": "2024-09-10T13:53:01.241586Z",
-     "iopub.status.idle": "2024-09-10T13:53:01.253917Z",
-     "shell.execute_reply": "2024-09-10T13:53:01.253447Z"
+     "iopub.execute_input": "2024-09-10T14:16:42.945433Z",
+     "iopub.status.busy": "2024-09-10T14:16:42.945302Z",
+     "iopub.status.idle": "2024-09-10T14:16:42.956746Z",
+     "shell.execute_reply": "2024-09-10T14:16:42.956306Z"
     },
     "lines_to_next_cell": 0,
     "nbsphinx": "hidden",
     "papermill": {
-     "duration": 0.016081,
-     "end_time": "2024-09-10T13:53:01.255258",
+     "duration": 0.014074,
+     "end_time": "2024-09-10T14:16:42.958078",
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diff --git a/_sources/notebooks/Inverse_cutoff_powerlaw.ipynb.txt b/_sources/notebooks/Inverse_cutoff_powerlaw.ipynb.txt
index 7bae8990..d5aaefba 100644
--- a/_sources/notebooks/Inverse_cutoff_powerlaw.ipynb.txt
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diff --git a/_sources/notebooks/Latitude_galactic_diffuse.ipynb.txt b/_sources/notebooks/Latitude_galactic_diffuse.ipynb.txt
index 30ca8842..ca09ffdf 100644
--- a/_sources/notebooks/Latitude_galactic_diffuse.ipynb.txt
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@@ -68,20 +68,20 @@
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@@ -96,19 +96,19 @@
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@@ -124,21 +124,21 @@
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@@ -155,14 +155,14 @@
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@@ -174,19 +174,19 @@
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@@ -354,14 +354,14 @@
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@@ -375,19 +375,19 @@
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@@ -440,8 +440,8 @@
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@@ -449,7 +449,7 @@
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diff --git a/_sources/notebooks/Line.ipynb.txt b/_sources/notebooks/Line.ipynb.txt
index aed35419..56d30357 100644
--- a/_sources/notebooks/Line.ipynb.txt
+++ b/_sources/notebooks/Line.ipynb.txt
@@ -2,13 +2,13 @@
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@@ -20,20 +20,20 @@
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@@ -60,20 +60,20 @@
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@@ -95,19 +95,19 @@
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@@ -127,21 +127,21 @@
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@@ -170,14 +170,14 @@
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@@ -189,19 +189,19 @@
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@@ -305,13 +305,13 @@
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@@ -327,19 +327,19 @@
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@@ -372,14 +372,14 @@
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@@ -394,19 +394,19 @@
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@@ -438,13 +438,13 @@
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@@ -459,19 +459,19 @@
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@@ -524,8 +524,8 @@
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@@ -537,7 +537,7 @@
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diff --git a/_sources/notebooks/Log_normal.ipynb.txt b/_sources/notebooks/Log_normal.ipynb.txt
index 40aafe15..87389edb 100644
--- a/_sources/notebooks/Log_normal.ipynb.txt
+++ b/_sources/notebooks/Log_normal.ipynb.txt
@@ -2,13 +2,13 @@
  "cells": [
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@@ -20,20 +20,20 @@
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@@ -60,20 +60,20 @@
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@@ -90,19 +90,19 @@
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@@ -119,21 +119,21 @@
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@@ -160,14 +160,14 @@
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@@ -179,19 +179,19 @@
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@@ -360,13 +360,13 @@
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@@ -382,19 +382,19 @@
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@@ -435,13 +435,13 @@
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@@ -455,19 +455,19 @@
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@@ -485,7 +485,7 @@
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",
+      "image/png": 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",
       "text/plain": [
        "
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       ]
@@ -536,8 +536,8 @@
   },
   "papermill": {
    "default_parameters": {},
-   "duration": 2.767654,
-   "end_time": "2024-09-10T13:53:26.658844",
+   "duration": 3.01003,
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@@ -546,7 +546,7 @@
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diff --git a/_sources/notebooks/Log_parabola.ipynb.txt b/_sources/notebooks/Log_parabola.ipynb.txt
index 7b7b77c6..d6870f13 100644
--- a/_sources/notebooks/Log_parabola.ipynb.txt
+++ b/_sources/notebooks/Log_parabola.ipynb.txt
@@ -2,13 +2,13 @@
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@@ -373,13 +373,13 @@
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@@ -462,19 +462,19 @@
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@@ -506,13 +506,13 @@
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@@ -527,19 +527,19 @@
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@@ -605,7 +605,7 @@
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diff --git a/_sources/notebooks/Log_uniform_prior.ipynb.txt b/_sources/notebooks/Log_uniform_prior.ipynb.txt
index fe457ff1..e1d138cf 100644
--- a/_sources/notebooks/Log_uniform_prior.ipynb.txt
+++ b/_sources/notebooks/Log_uniform_prior.ipynb.txt
@@ -2,13 +2,13 @@
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@@ -60,20 +60,20 @@
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@@ -160,14 +160,14 @@
   },
   {
    "cell_type": "markdown",
-   "id": "44f88f21",
+   "id": "04b30929",
    "metadata": {
     "lines_to_next_cell": 0,
     "papermill": {
-     "duration": 0.000996,
-     "end_time": "2024-09-10T13:53:31.369252",
+     "duration": 0.000997,
+     "end_time": "2024-09-10T14:17:14.581160",
      "exception": false,
-     "start_time": "2024-09-10T13:53:31.368256",
+     "start_time": "2024-09-10T14:17:14.580163",
      "status": "completed"
     },
     "tags": []
@@ -179,19 +179,19 @@
   {
    "cell_type": "code",
    "execution_count": 5,
-   "id": "924b903d",
+   "id": "d1df6adf",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:53:31.371752Z",
-     "iopub.status.busy": "2024-09-10T13:53:31.371611Z",
-     "iopub.status.idle": "2024-09-10T13:53:31.381905Z",
-     "shell.execute_reply": "2024-09-10T13:53:31.381493Z"
+     "iopub.execute_input": "2024-09-10T14:17:14.583681Z",
+     "iopub.status.busy": "2024-09-10T14:17:14.583531Z",
+     "iopub.status.idle": "2024-09-10T14:17:14.591868Z",
+     "shell.execute_reply": "2024-09-10T14:17:14.591493Z"
     },
     "papermill": {
-     "duration": 0.012957,
-     "end_time": "2024-09-10T13:53:31.383120",
+     "duration": 0.011088,
+     "end_time": "2024-09-10T14:17:14.593173",
      "exception": false,
-     "start_time": "2024-09-10T13:53:31.370163",
+     "start_time": "2024-09-10T14:17:14.582085",
      "status": "completed"
     },
     "tags": []
@@ -330,13 +330,13 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1e15923a",
+   "id": "80e6ca8c",
    "metadata": {
     "papermill": {
-     "duration": 0.001125,
-     "end_time": "2024-09-10T13:53:31.385437",
+     "duration": 0.001135,
+     "end_time": "2024-09-10T14:17:14.595493",
      "exception": false,
-     "start_time": "2024-09-10T13:53:31.384312",
+     "start_time": "2024-09-10T14:17:14.594358",
      "status": "completed"
     },
     "tags": []
@@ -352,19 +352,19 @@
   {
    "cell_type": "code",
    "execution_count": 6,
-   "id": "e218b775",
+   "id": "06d6112d",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:53:31.388324Z",
-     "iopub.status.busy": "2024-09-10T13:53:31.388177Z",
-     "iopub.status.idle": "2024-09-10T13:53:31.483158Z",
-     "shell.execute_reply": "2024-09-10T13:53:31.482769Z"
+     "iopub.execute_input": "2024-09-10T14:17:14.598287Z",
+     "iopub.status.busy": "2024-09-10T14:17:14.598139Z",
+     "iopub.status.idle": "2024-09-10T14:17:14.701853Z",
+     "shell.execute_reply": "2024-09-10T14:17:14.700243Z"
     },
     "papermill": {
-     "duration": 0.097871,
-     "end_time": "2024-09-10T13:53:31.484448",
+     "duration": 0.10677,
+     "end_time": "2024-09-10T14:17:14.703339",
      "exception": false,
-     "start_time": "2024-09-10T13:53:31.386577",
+     "start_time": "2024-09-10T14:17:14.596569",
      "status": "completed"
     },
     "tags": [
@@ -405,13 +405,13 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e78aefb8",
+   "id": "fb6bbeb5",
    "metadata": {
     "papermill": {
-     "duration": 0.001339,
-     "end_time": "2024-09-10T13:53:31.487402",
+     "duration": 0.006704,
+     "end_time": "2024-09-10T14:17:14.716819",
      "exception": false,
-     "start_time": "2024-09-10T13:53:31.486063",
+     "start_time": "2024-09-10T14:17:14.710115",
      "status": "completed"
     },
     "tags": []
@@ -425,19 +425,19 @@
   {
    "cell_type": "code",
    "execution_count": 7,
-   "id": "e382e425",
+   "id": "0d590831",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:53:31.490718Z",
-     "iopub.status.busy": "2024-09-10T13:53:31.490545Z",
-     "iopub.status.idle": "2024-09-10T13:53:31.598743Z",
-     "shell.execute_reply": "2024-09-10T13:53:31.598408Z"
+     "iopub.execute_input": "2024-09-10T14:17:14.725886Z",
+     "iopub.status.busy": "2024-09-10T14:17:14.725709Z",
+     "iopub.status.idle": "2024-09-10T14:17:14.835736Z",
+     "shell.execute_reply": "2024-09-10T14:17:14.835416Z"
     },
     "papermill": {
-     "duration": 0.111514,
-     "end_time": "2024-09-10T13:53:31.600213",
+     "duration": 0.1138,
+     "end_time": "2024-09-10T14:17:14.837139",
      "exception": false,
-     "start_time": "2024-09-10T13:53:31.488699",
+     "start_time": "2024-09-10T14:17:14.723339",
      "status": "completed"
     },
     "tags": []
@@ -455,7 +455,7 @@
     },
     {
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",
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",
       "text/plain": [
        "
"
       ]
@@ -506,8 +506,8 @@
   },
   "papermill": {
    "default_parameters": {},
-   "duration": 2.495924,
-   "end_time": "2024-09-10T13:53:31.929220",
+   "duration": 3.014918,
+   "end_time": "2024-09-10T14:17:15.264734",
    "environment_variables": {},
    "exception": null,
    "input_path": "Log_uniform_prior.ipynb",
@@ -516,7 +516,7 @@
     "func_name": "Log_uniform_prior",
     "positive_prior": true
    },
-   "start_time": "2024-09-10T13:53:29.433296",
+   "start_time": "2024-09-10T14:17:12.249816",
    "version": "2.6.0"
   }
  },
diff --git a/_sources/notebooks/Model_tutorial.ipynb.txt b/_sources/notebooks/Model_tutorial.ipynb.txt
index 9c2c9a98..200e94bd 100644
--- a/_sources/notebooks/Model_tutorial.ipynb.txt
+++ b/_sources/notebooks/Model_tutorial.ipynb.txt
@@ -2,7 +2,7 @@
  "cells": [
   {
    "cell_type": "markdown",
-   "id": "8c5a0c52",
+   "id": "fafa0143",
    "metadata": {},
    "source": [
     "# Model tutorial\n",
@@ -15,13 +15,13 @@
   {
    "cell_type": "code",
    "execution_count": 1,
-   "id": "fed7383a",
+   "id": "ca27a457",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:34.223966Z",
-     "iopub.status.busy": "2024-09-10T13:50:34.223593Z",
-     "iopub.status.idle": "2024-09-10T13:50:35.682872Z",
-     "shell.execute_reply": "2024-09-10T13:50:35.682006Z"
+     "iopub.execute_input": "2024-09-10T14:14:10.659755Z",
+     "iopub.status.busy": "2024-09-10T14:14:10.659327Z",
+     "iopub.status.idle": "2024-09-10T14:14:11.900498Z",
+     "shell.execute_reply": "2024-09-10T14:14:11.899838Z"
     }
    },
    "outputs": [],
@@ -36,7 +36,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "03206251",
+   "id": "c2360113",
    "metadata": {},
    "source": [
     "## Define sources\n",
@@ -47,13 +47,13 @@
   {
    "cell_type": "code",
    "execution_count": 2,
-   "id": "36cae366",
+   "id": "3743370d",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:35.686653Z",
-     "iopub.status.busy": "2024-09-10T13:50:35.686200Z",
-     "iopub.status.idle": "2024-09-10T13:50:35.697958Z",
-     "shell.execute_reply": "2024-09-10T13:50:35.697311Z"
+     "iopub.execute_input": "2024-09-10T14:14:11.903546Z",
+     "iopub.status.busy": "2024-09-10T14:14:11.903118Z",
+     "iopub.status.idle": "2024-09-10T14:14:11.919126Z",
+     "shell.execute_reply": "2024-09-10T14:14:11.917245Z"
     }
    },
    "outputs": [
@@ -295,7 +295,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8f3a37d6",
+   "id": "25c02e3c",
    "metadata": {},
    "source": [
     "Now let’s define another source, this time at Galactic Coordinates l = 11.25, b = -22.5, and with two spectral components:"
@@ -304,13 +304,13 @@
   {
    "cell_type": "code",
    "execution_count": 3,
-   "id": "1d88b061",
+   "id": "92eafd33",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:35.701368Z",
-     "iopub.status.busy": "2024-09-10T13:50:35.701178Z",
-     "iopub.status.idle": "2024-09-10T13:50:35.709199Z",
-     "shell.execute_reply": "2024-09-10T13:50:35.708618Z"
+     "iopub.execute_input": "2024-09-10T14:14:11.923069Z",
+     "iopub.status.busy": "2024-09-10T14:14:11.922845Z",
+     "iopub.status.idle": "2024-09-10T14:14:11.936870Z",
+     "shell.execute_reply": "2024-09-10T14:14:11.935797Z"
     }
    },
    "outputs": [
@@ -615,7 +615,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "838b43e2",
+   "id": "19565954",
    "metadata": {},
    "source": [
     "## Create a model\n",
@@ -626,13 +626,13 @@
   {
    "cell_type": "code",
    "execution_count": 4,
-   "id": "99f0f309",
+   "id": "ccfe3b16",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:35.712905Z",
-     "iopub.status.busy": "2024-09-10T13:50:35.712703Z",
-     "iopub.status.idle": "2024-09-10T13:50:35.720688Z",
-     "shell.execute_reply": "2024-09-10T13:50:35.720025Z"
+     "iopub.execute_input": "2024-09-10T14:14:11.945933Z",
+     "iopub.status.busy": "2024-09-10T14:14:11.945706Z",
+     "iopub.status.idle": "2024-09-10T14:14:11.951795Z",
+     "shell.execute_reply": "2024-09-10T14:14:11.951046Z"
     }
    },
    "outputs": [],
@@ -644,7 +644,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9a57b5d6",
+   "id": "f1a9cf2e",
    "metadata": {},
    "source": [
     "Of course you can use as many sources as needed, like my_model = Model(pts1, pts2, pts3…)\n",
@@ -657,13 +657,13 @@
   {
    "cell_type": "code",
    "execution_count": 5,
-   "id": "fcf5aebc",
+   "id": "102b48b9",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:35.724091Z",
-     "iopub.status.busy": "2024-09-10T13:50:35.723848Z",
-     "iopub.status.idle": "2024-09-10T13:50:35.753705Z",
-     "shell.execute_reply": "2024-09-10T13:50:35.753055Z"
+     "iopub.execute_input": "2024-09-10T14:14:11.954830Z",
+     "iopub.status.busy": "2024-09-10T14:14:11.954626Z",
+     "iopub.status.idle": "2024-09-10T14:14:11.993170Z",
+     "shell.execute_reply": "2024-09-10T14:14:11.992722Z"
     }
    },
    "outputs": [
@@ -841,7 +841,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "497968e0",
+   "id": "3cd9ea93",
    "metadata": {},
    "source": [
     "The model tree can be shown as:"
@@ -850,13 +850,13 @@
   {
    "cell_type": "code",
    "execution_count": 6,
-   "id": "f14e275f",
+   "id": "72cc80fd",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:35.756904Z",
-     "iopub.status.busy": "2024-09-10T13:50:35.756724Z",
-     "iopub.status.idle": "2024-09-10T13:50:35.763563Z",
-     "shell.execute_reply": "2024-09-10T13:50:35.762597Z"
+     "iopub.execute_input": "2024-09-10T14:14:11.995378Z",
+     "iopub.status.busy": "2024-09-10T14:14:11.995253Z",
+     "iopub.status.idle": "2024-09-10T14:14:12.000297Z",
+     "shell.execute_reply": "2024-09-10T14:14:11.999922Z"
     }
    },
    "outputs": [
@@ -937,7 +937,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7cac720a",
+   "id": "cbe3026b",
    "metadata": {},
    "source": [
     "A dictionary of free parameters can be obtained like this:"
@@ -946,13 +946,13 @@
   {
    "cell_type": "code",
    "execution_count": 7,
-   "id": "c09bd7df",
+   "id": "45f76d7f",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:35.767100Z",
-     "iopub.status.busy": "2024-09-10T13:50:35.766902Z",
-     "iopub.status.idle": "2024-09-10T13:50:35.770072Z",
-     "shell.execute_reply": "2024-09-10T13:50:35.769287Z"
+     "iopub.execute_input": "2024-09-10T14:14:12.002242Z",
+     "iopub.status.busy": "2024-09-10T14:14:12.002107Z",
+     "iopub.status.idle": "2024-09-10T14:14:12.008800Z",
+     "shell.execute_reply": "2024-09-10T14:14:12.008359Z"
     }
    },
    "outputs": [],
@@ -962,7 +962,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "74c5f1c8",
+   "id": "4e9006e4",
    "metadata": {},
    "source": [
     "We can use such dictionary to loop over all free parameters:"
@@ -971,13 +971,13 @@
   {
    "cell_type": "code",
    "execution_count": 8,
-   "id": "64704c34",
+   "id": "a43961f0",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:35.773213Z",
-     "iopub.status.busy": "2024-09-10T13:50:35.773062Z",
-     "iopub.status.idle": "2024-09-10T13:50:35.777155Z",
-     "shell.execute_reply": "2024-09-10T13:50:35.776075Z"
+     "iopub.execute_input": "2024-09-10T14:14:12.010708Z",
+     "iopub.status.busy": "2024-09-10T14:14:12.010602Z",
+     "iopub.status.idle": "2024-09-10T14:14:12.013735Z",
+     "shell.execute_reply": "2024-09-10T14:14:12.012985Z"
     }
    },
    "outputs": [
@@ -1002,7 +1002,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1dca5ae8",
+   "id": "796316ab",
    "metadata": {},
    "source": [
     "More information on a particular source can be obtained like:"
@@ -1011,13 +1011,13 @@
   {
    "cell_type": "code",
    "execution_count": 9,
-   "id": "fb578cab",
+   "id": "2f8c3945",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:35.780629Z",
-     "iopub.status.busy": "2024-09-10T13:50:35.780271Z",
-     "iopub.status.idle": "2024-09-10T13:50:35.791081Z",
-     "shell.execute_reply": "2024-09-10T13:50:35.790514Z"
+     "iopub.execute_input": "2024-09-10T14:14:12.017232Z",
+     "iopub.status.busy": "2024-09-10T14:14:12.017032Z",
+     "iopub.status.idle": "2024-09-10T14:14:12.021532Z",
+     "shell.execute_reply": "2024-09-10T14:14:12.021142Z"
     }
    },
    "outputs": [
@@ -1215,7 +1215,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "86cfcf46",
+   "id": "50b4cdbb",
    "metadata": {},
    "source": [
     "More information about a particular instance of a function can be obtained like:"
@@ -1224,13 +1224,13 @@
   {
    "cell_type": "code",
    "execution_count": 10,
-   "id": "15797954",
+   "id": "ed859dd6",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:35.794431Z",
-     "iopub.status.busy": "2024-09-10T13:50:35.794221Z",
-     "iopub.status.idle": "2024-09-10T13:50:35.800079Z",
-     "shell.execute_reply": "2024-09-10T13:50:35.799264Z"
+     "iopub.execute_input": "2024-09-10T14:14:12.023501Z",
+     "iopub.status.busy": "2024-09-10T14:14:12.023361Z",
+     "iopub.status.idle": "2024-09-10T14:14:12.027173Z",
+     "shell.execute_reply": "2024-09-10T14:14:12.026687Z"
     }
    },
    "outputs": [
@@ -1364,7 +1364,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c1cc6c64",
+   "id": "49d1d2f1",
    "metadata": {},
    "source": [
     "## Accessing and modifying sources and parameters from the model instance\n",
@@ -1377,13 +1377,13 @@
   {
    "cell_type": "code",
    "execution_count": 11,
-   "id": "011d496a",
+   "id": "15963fe0",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:35.803595Z",
-     "iopub.status.busy": "2024-09-10T13:50:35.803401Z",
-     "iopub.status.idle": "2024-09-10T13:50:35.813780Z",
-     "shell.execute_reply": "2024-09-10T13:50:35.813120Z"
+     "iopub.execute_input": "2024-09-10T14:14:12.029174Z",
+     "iopub.status.busy": "2024-09-10T14:14:12.029059Z",
+     "iopub.status.idle": "2024-09-10T14:14:12.039056Z",
+     "shell.execute_reply": "2024-09-10T14:14:12.038589Z"
     }
    },
    "outputs": [
@@ -1562,13 +1562,13 @@
   {
    "cell_type": "code",
    "execution_count": 12,
-   "id": "972f407a",
+   "id": "5d74bd74",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:35.816885Z",
-     "iopub.status.busy": "2024-09-10T13:50:35.816755Z",
-     "iopub.status.idle": "2024-09-10T13:50:35.825581Z",
-     "shell.execute_reply": "2024-09-10T13:50:35.824968Z"
+     "iopub.execute_input": "2024-09-10T14:14:12.041081Z",
+     "iopub.status.busy": "2024-09-10T14:14:12.040933Z",
+     "iopub.status.idle": "2024-09-10T14:14:12.043044Z",
+     "shell.execute_reply": "2024-09-10T14:14:12.042674Z"
     }
    },
    "outputs": [],
@@ -1584,7 +1584,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b21bf90d",
+   "id": "1530384c",
    "metadata": {},
    "source": [
     "The structure of these paths is easy to understand. The model is a tree-like structure. The root of the tree is always the model instance itself. The second level is constituted by the various sources. The structure within a source can be understood by calling the ```.display``` method:"
@@ -1593,13 +1593,13 @@
   {
    "cell_type": "code",
    "execution_count": 13,
-   "id": "f4d6b75b",
+   "id": "d51d7ed2",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:35.828592Z",
-     "iopub.status.busy": "2024-09-10T13:50:35.828381Z",
-     "iopub.status.idle": "2024-09-10T13:50:35.833978Z",
-     "shell.execute_reply": "2024-09-10T13:50:35.833435Z"
+     "iopub.execute_input": "2024-09-10T14:14:12.045002Z",
+     "iopub.status.busy": "2024-09-10T14:14:12.044879Z",
+     "iopub.status.idle": "2024-09-10T14:14:12.049000Z",
+     "shell.execute_reply": "2024-09-10T14:14:12.048504Z"
     }
    },
    "outputs": [
@@ -1797,7 +1797,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f2d5db2e",
+   "id": "69df74c8",
    "metadata": {},
    "source": [
     "Each indentation represents one level, so to access the “ra” element we can follow the levels shown by the ```.display()``` method:"
@@ -1806,13 +1806,13 @@
   {
    "cell_type": "code",
    "execution_count": 14,
-   "id": "19e95452",
+   "id": "ac39e79b",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:35.837914Z",
-     "iopub.status.busy": "2024-09-10T13:50:35.837703Z",
-     "iopub.status.idle": "2024-09-10T13:50:35.845957Z",
-     "shell.execute_reply": "2024-09-10T13:50:35.845472Z"
+     "iopub.execute_input": "2024-09-10T14:14:12.051189Z",
+     "iopub.status.busy": "2024-09-10T14:14:12.051077Z",
+     "iopub.status.idle": "2024-09-10T14:14:12.054098Z",
+     "shell.execute_reply": "2024-09-10T14:14:12.053562Z"
     }
    },
    "outputs": [
@@ -1839,7 +1839,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "462948e7",
+   "id": "32fe7872",
    "metadata": {},
    "source": [
     "
\n",
@@ -1853,7 +1853,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "270f7d69",
+   "id": "ac5511e6",
    "metadata": {},
    "source": [
     "while to access the index parameter of the power law function we can do"
@@ -1862,13 +1862,13 @@
   {
    "cell_type": "code",
    "execution_count": 15,
-   "id": "a5a39e8b",
+   "id": "37fa0435",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:35.849241Z",
-     "iopub.status.busy": "2024-09-10T13:50:35.849030Z",
-     "iopub.status.idle": "2024-09-10T13:50:35.853287Z",
-     "shell.execute_reply": "2024-09-10T13:50:35.852154Z"
+     "iopub.execute_input": "2024-09-10T14:14:12.056600Z",
+     "iopub.status.busy": "2024-09-10T14:14:12.056409Z",
+     "iopub.status.idle": "2024-09-10T14:14:12.059356Z",
+     "shell.execute_reply": "2024-09-10T14:14:12.058972Z"
     }
    },
    "outputs": [
@@ -1895,7 +1895,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "72dec9cf",
+   "id": "021a2494",
    "metadata": {},
    "source": [
     "You can find much more information in the document “Additional features for scripts and applications”.\n",
@@ -1910,13 +1910,13 @@
   {
    "cell_type": "code",
    "execution_count": 16,
-   "id": "bb24b6d6",
+   "id": "4ab62840",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:35.857755Z",
-     "iopub.status.busy": "2024-09-10T13:50:35.857537Z",
-     "iopub.status.idle": "2024-09-10T13:50:35.866632Z",
-     "shell.execute_reply": "2024-09-10T13:50:35.865648Z"
+     "iopub.execute_input": "2024-09-10T14:14:12.061852Z",
+     "iopub.status.busy": "2024-09-10T14:14:12.061711Z",
+     "iopub.status.idle": "2024-09-10T14:14:12.070105Z",
+     "shell.execute_reply": "2024-09-10T14:14:12.069550Z"
     }
    },
    "outputs": [],
@@ -1939,7 +1939,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "575d46aa",
+   "id": "5d51f277",
    "metadata": {},
    "source": [
     "
\n",
@@ -1959,7 +1959,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "38aba179",
+   "id": "72856062",
    "metadata": {},
    "source": [
     "Shortcut can point at any point of the tree:\n"
@@ -1968,13 +1968,13 @@
   {
    "cell_type": "code",
    "execution_count": 17,
-   "id": "be24f3d3",
+   "id": "b5c84555",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:35.870111Z",
-     "iopub.status.busy": "2024-09-10T13:50:35.869906Z",
-     "iopub.status.idle": "2024-09-10T13:50:35.873080Z",
-     "shell.execute_reply": "2024-09-10T13:50:35.872384Z"
+     "iopub.execute_input": "2024-09-10T14:14:12.072176Z",
+     "iopub.status.busy": "2024-09-10T14:14:12.072071Z",
+     "iopub.status.idle": "2024-09-10T14:14:12.080692Z",
+     "shell.execute_reply": "2024-09-10T14:14:12.080317Z"
     }
    },
    "outputs": [],
@@ -1995,7 +1995,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "408ed23b",
+   "id": "15a10167",
    "metadata": {},
    "source": [
     "If you are ever in doubt of what a particular shortcut stands for, you can always retrieve the full path of the element the shortcut is pointing to like this:"
@@ -2004,13 +2004,13 @@
   {
    "cell_type": "code",
    "execution_count": 18,
-   "id": "a47bc4b0",
+   "id": "d137752d",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:35.876368Z",
-     "iopub.status.busy": "2024-09-10T13:50:35.876157Z",
-     "iopub.status.idle": "2024-09-10T13:50:35.879059Z",
-     "shell.execute_reply": "2024-09-10T13:50:35.878409Z"
+     "iopub.execute_input": "2024-09-10T14:14:12.082703Z",
+     "iopub.status.busy": "2024-09-10T14:14:12.082588Z",
+     "iopub.status.idle": "2024-09-10T14:14:12.085044Z",
+     "shell.execute_reply": "2024-09-10T14:14:12.084627Z"
     }
    },
    "outputs": [
@@ -2028,7 +2028,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "57d37bec",
+   "id": "76446bd0",
    "metadata": {},
    "source": [
     "## Saving a model to file\n",
@@ -2039,13 +2039,13 @@
   {
    "cell_type": "code",
    "execution_count": 19,
-   "id": "95e07db7",
+   "id": "ce286106",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:35.882573Z",
-     "iopub.status.busy": "2024-09-10T13:50:35.882391Z",
-     "iopub.status.idle": "2024-09-10T13:50:35.894169Z",
-     "shell.execute_reply": "2024-09-10T13:50:35.893637Z"
+     "iopub.execute_input": "2024-09-10T14:14:12.087368Z",
+     "iopub.status.busy": "2024-09-10T14:14:12.087207Z",
+     "iopub.status.idle": "2024-09-10T14:14:12.112358Z",
+     "shell.execute_reply": "2024-09-10T14:14:12.111891Z"
     }
    },
    "outputs": [],
@@ -2057,7 +2057,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "66f46ad4",
+   "id": "31e929c0",
    "metadata": {},
    "source": [
     "The content of the file is YAML code, which is human-readable and very easy to understand. Let’s have a look:"
@@ -2066,13 +2066,13 @@
   {
    "cell_type": "code",
    "execution_count": 20,
-   "id": "d68425e2",
+   "id": "a718b601",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:35.897562Z",
-     "iopub.status.busy": "2024-09-10T13:50:35.897318Z",
-     "iopub.status.idle": "2024-09-10T13:50:35.907283Z",
-     "shell.execute_reply": "2024-09-10T13:50:35.906581Z"
+     "iopub.execute_input": "2024-09-10T14:14:12.114694Z",
+     "iopub.status.busy": "2024-09-10T14:14:12.114588Z",
+     "iopub.status.idle": "2024-09-10T14:14:12.117548Z",
+     "shell.execute_reply": "2024-09-10T14:14:12.117165Z"
     }
    },
    "outputs": [
@@ -2360,7 +2360,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "eb1a6450",
+   "id": "ebac0436",
    "metadata": {},
    "source": [
     "## Load a model from a file\n",
@@ -2371,13 +2371,13 @@
   {
    "cell_type": "code",
    "execution_count": 21,
-   "id": "9357c8bf",
+   "id": "4754458b",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:35.910813Z",
-     "iopub.status.busy": "2024-09-10T13:50:35.910614Z",
-     "iopub.status.idle": "2024-09-10T13:50:35.938757Z",
-     "shell.execute_reply": "2024-09-10T13:50:35.938123Z"
+     "iopub.execute_input": "2024-09-10T14:14:12.119692Z",
+     "iopub.status.busy": "2024-09-10T14:14:12.119553Z",
+     "iopub.status.idle": "2024-09-10T14:14:12.141800Z",
+     "shell.execute_reply": "2024-09-10T14:14:12.141399Z"
     }
    },
    "outputs": [
@@ -2560,13 +2560,13 @@
   {
    "cell_type": "code",
    "execution_count": 22,
-   "id": "4c6264d9",
+   "id": "3efae5db",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:35.941853Z",
-     "iopub.status.busy": "2024-09-10T13:50:35.941605Z",
-     "iopub.status.idle": "2024-09-10T13:50:36.826773Z",
-     "shell.execute_reply": "2024-09-10T13:50:36.825570Z"
+     "iopub.execute_input": "2024-09-10T14:14:12.143768Z",
+     "iopub.status.busy": "2024-09-10T14:14:12.143621Z",
+     "iopub.status.idle": "2024-09-10T14:14:12.922618Z",
+     "shell.execute_reply": "2024-09-10T14:14:12.921673Z"
     }
    },
    "outputs": [
@@ -2636,7 +2636,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "00a3ac35",
+   "id": "fdd48181",
    "metadata": {},
    "source": [
     "## Linking parameters\n",
@@ -2647,13 +2647,13 @@
   {
    "cell_type": "code",
    "execution_count": 23,
-   "id": "a123b6a3",
+   "id": "30dfd9a6",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:36.831181Z",
-     "iopub.status.busy": "2024-09-10T13:50:36.830651Z",
-     "iopub.status.idle": "2024-09-10T13:50:36.847806Z",
-     "shell.execute_reply": "2024-09-10T13:50:36.847236Z"
+     "iopub.execute_input": "2024-09-10T14:14:12.926023Z",
+     "iopub.status.busy": "2024-09-10T14:14:12.925735Z",
+     "iopub.status.idle": "2024-09-10T14:14:12.938075Z",
+     "shell.execute_reply": "2024-09-10T14:14:12.937595Z"
     }
    },
    "outputs": [
@@ -2873,7 +2873,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b59fb57e",
+   "id": "a115ed3f",
    "metadata": {},
    "source": [
     "### Advanced use of linking: arbitrary functions\n",
@@ -2884,13 +2884,13 @@
   {
    "cell_type": "code",
    "execution_count": 24,
-   "id": "4075ccc8",
+   "id": "5302f1ce",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:36.851764Z",
-     "iopub.status.busy": "2024-09-10T13:50:36.851548Z",
-     "iopub.status.idle": "2024-09-10T13:50:36.866321Z",
-     "shell.execute_reply": "2024-09-10T13:50:36.865362Z"
+     "iopub.execute_input": "2024-09-10T14:14:12.940293Z",
+     "iopub.status.busy": "2024-09-10T14:14:12.940136Z",
+     "iopub.status.idle": "2024-09-10T14:14:12.951640Z",
+     "shell.execute_reply": "2024-09-10T14:14:12.950742Z"
     }
    },
    "outputs": [
@@ -3130,7 +3130,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d2f4b3c0",
+   "id": "91e5ec9d",
    "metadata": {},
    "source": [
     "If we want to fix say $p2 = p1 - 1.2$, we can fix k to that:"
@@ -3139,13 +3139,13 @@
   {
    "cell_type": "code",
    "execution_count": 25,
-   "id": "9d8a08db",
+   "id": "12fde430",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:36.869945Z",
-     "iopub.status.busy": "2024-09-10T13:50:36.869718Z",
-     "iopub.status.idle": "2024-09-10T13:50:36.883241Z",
-     "shell.execute_reply": "2024-09-10T13:50:36.882309Z"
+     "iopub.execute_input": "2024-09-10T14:14:12.956402Z",
+     "iopub.status.busy": "2024-09-10T14:14:12.956193Z",
+     "iopub.status.idle": "2024-09-10T14:14:12.975586Z",
+     "shell.execute_reply": "2024-09-10T14:14:12.973549Z"
     }
    },
    "outputs": [
@@ -3362,7 +3362,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2749fe5d",
+   "id": "461290fb",
    "metadata": {},
    "source": [
     "As another example, we might link the two parameters using a power law function:"
@@ -3371,13 +3371,13 @@
   {
    "cell_type": "code",
    "execution_count": 26,
-   "id": "18e4cd61",
+   "id": "50d6da49",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:36.887358Z",
-     "iopub.status.busy": "2024-09-10T13:50:36.887140Z",
-     "iopub.status.idle": "2024-09-10T13:50:36.902561Z",
-     "shell.execute_reply": "2024-09-10T13:50:36.901696Z"
+     "iopub.execute_input": "2024-09-10T14:14:12.980956Z",
+     "iopub.status.busy": "2024-09-10T14:14:12.980711Z",
+     "iopub.status.idle": "2024-09-10T14:14:12.999175Z",
+     "shell.execute_reply": "2024-09-10T14:14:12.998647Z"
     }
    },
    "outputs": [
@@ -3611,7 +3611,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c42fbd5c",
+   "id": "2069864d",
    "metadata": {},
    "source": [
     "We can use arbitrarily complex functions as link function, if needed (see “Creating and modifying functions” for more info on how to create composite functions):"
@@ -3620,13 +3620,13 @@
   {
    "cell_type": "code",
    "execution_count": 27,
-   "id": "a10d3d05",
+   "id": "d560ed9e",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:36.906027Z",
-     "iopub.status.busy": "2024-09-10T13:50:36.905808Z",
-     "iopub.status.idle": "2024-09-10T13:50:36.925283Z",
-     "shell.execute_reply": "2024-09-10T13:50:36.924754Z"
+     "iopub.execute_input": "2024-09-10T14:14:13.001338Z",
+     "iopub.status.busy": "2024-09-10T14:14:13.001221Z",
+     "iopub.status.idle": "2024-09-10T14:14:13.012862Z",
+     "shell.execute_reply": "2024-09-10T14:14:13.012469Z"
     }
    },
    "outputs": [
@@ -3908,7 +3908,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "834d03d9",
+   "id": "6b7cf5d7",
    "metadata": {},
    "source": [
     "## Time-varying models and other independent variables\n",
@@ -3919,13 +3919,13 @@
   {
    "cell_type": "code",
    "execution_count": 28,
-   "id": "2f00294c",
+   "id": "a3bd3adb",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:36.929430Z",
-     "iopub.status.busy": "2024-09-10T13:50:36.929161Z",
-     "iopub.status.idle": "2024-09-10T13:50:36.938802Z",
-     "shell.execute_reply": "2024-09-10T13:50:36.937948Z"
+     "iopub.execute_input": "2024-09-10T14:14:13.014858Z",
+     "iopub.status.busy": "2024-09-10T14:14:13.014711Z",
+     "iopub.status.idle": "2024-09-10T14:14:13.021091Z",
+     "shell.execute_reply": "2024-09-10T14:14:13.020700Z"
     }
    },
    "outputs": [],
@@ -3939,7 +3939,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1490a97f",
+   "id": "fa473b55",
    "metadata": {},
    "source": [
     "The IndependentVariable instance is inserted at the root of the model tree. In this case, can be accessed as:"
@@ -3948,13 +3948,13 @@
   {
    "cell_type": "code",
    "execution_count": 29,
-   "id": "9c0a5529",
+   "id": "7610b9dc",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:36.942657Z",
-     "iopub.status.busy": "2024-09-10T13:50:36.942417Z",
-     "iopub.status.idle": "2024-09-10T13:50:36.947771Z",
-     "shell.execute_reply": "2024-09-10T13:50:36.946778Z"
+     "iopub.execute_input": "2024-09-10T14:14:13.023078Z",
+     "iopub.status.busy": "2024-09-10T14:14:13.022975Z",
+     "iopub.status.idle": "2024-09-10T14:14:13.025691Z",
+     "shell.execute_reply": "2024-09-10T14:14:13.025269Z"
     }
    },
    "outputs": [
@@ -3979,7 +3979,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "be85f228",
+   "id": "9001ca89",
    "metadata": {},
    "source": [
     "We can now link any parameter to be a function of time, like this:"
@@ -3988,13 +3988,13 @@
   {
    "cell_type": "code",
    "execution_count": 30,
-   "id": "86f31682",
+   "id": "b2b84560",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:36.951074Z",
-     "iopub.status.busy": "2024-09-10T13:50:36.950861Z",
-     "iopub.status.idle": "2024-09-10T13:50:36.953953Z",
-     "shell.execute_reply": "2024-09-10T13:50:36.953387Z"
+     "iopub.execute_input": "2024-09-10T14:14:13.027698Z",
+     "iopub.status.busy": "2024-09-10T14:14:13.027565Z",
+     "iopub.status.idle": "2024-09-10T14:14:13.029575Z",
+     "shell.execute_reply": "2024-09-10T14:14:13.029208Z"
     }
    },
    "outputs": [],
@@ -4005,7 +4005,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8f6cd1fb",
+   "id": "68bb8d4a",
    "metadata": {},
    "source": [
     "Now link the index of the sync. component of source_2 to be law(t)\n",
@@ -4015,13 +4015,13 @@
   {
    "cell_type": "code",
    "execution_count": 31,
-   "id": "347c3374",
+   "id": "81e94d86",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:36.957254Z",
-     "iopub.status.busy": "2024-09-10T13:50:36.957055Z",
-     "iopub.status.idle": "2024-09-10T13:50:36.961163Z",
-     "shell.execute_reply": "2024-09-10T13:50:36.960059Z"
+     "iopub.execute_input": "2024-09-10T14:14:13.031518Z",
+     "iopub.status.busy": "2024-09-10T14:14:13.031384Z",
+     "iopub.status.idle": "2024-09-10T14:14:13.039466Z",
+     "shell.execute_reply": "2024-09-10T14:14:13.039081Z"
     }
    },
    "outputs": [],
@@ -4034,13 +4034,13 @@
   {
    "cell_type": "code",
    "execution_count": 32,
-   "id": "345fb6b8",
+   "id": "ec1ace1e",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:36.964697Z",
-     "iopub.status.busy": "2024-09-10T13:50:36.964376Z",
-     "iopub.status.idle": "2024-09-10T13:50:37.000496Z",
-     "shell.execute_reply": "2024-09-10T13:50:36.999801Z"
+     "iopub.execute_input": "2024-09-10T14:14:13.041332Z",
+     "iopub.status.busy": "2024-09-10T14:14:13.041234Z",
+     "iopub.status.idle": "2024-09-10T14:14:13.073660Z",
+     "shell.execute_reply": "2024-09-10T14:14:13.073035Z"
     }
    },
    "outputs": [],
@@ -4052,7 +4052,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "65c4a7e3",
+   "id": "1e3a8dea",
    "metadata": {},
    "source": [
     "This would show the link:\n",
@@ -4082,13 +4082,13 @@
   {
    "cell_type": "code",
    "execution_count": 33,
-   "id": "d6fad3e7",
+   "id": "719481f0",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:37.004242Z",
-     "iopub.status.busy": "2024-09-10T13:50:37.003969Z",
-     "iopub.status.idle": "2024-09-10T13:50:37.428243Z",
-     "shell.execute_reply": "2024-09-10T13:50:37.427453Z"
+     "iopub.execute_input": "2024-09-10T14:14:13.075995Z",
+     "iopub.status.busy": "2024-09-10T14:14:13.075882Z",
+     "iopub.status.idle": "2024-09-10T14:14:13.456100Z",
+     "shell.execute_reply": "2024-09-10T14:14:13.455487Z"
     }
    },
    "outputs": [
@@ -4138,7 +4138,7 @@
   {
    "cell_type": "code",
    "execution_count": null,
-   "id": "1a0def0d",
+   "id": "f85c89de",
    "metadata": {},
    "outputs": [],
    "source": []
diff --git a/_sources/notebooks/ModifiedBlackbody.ipynb.txt b/_sources/notebooks/ModifiedBlackbody.ipynb.txt
index 98fc5e2d..e030a012 100644
--- a/_sources/notebooks/ModifiedBlackbody.ipynb.txt
+++ b/_sources/notebooks/ModifiedBlackbody.ipynb.txt
@@ -2,13 +2,13 @@
  "cells": [
   {
    "cell_type": "markdown",
-   "id": "a5b7ae63",
+   "id": "4de866b5",
    "metadata": {
     "papermill": {
-     "duration": 0.005831,
-     "end_time": "2024-09-10T13:51:01.132119",
+     "duration": 0.01096,
+     "end_time": "2024-09-10T14:14:31.197837",
      "exception": false,
-     "start_time": "2024-09-10T13:51:01.126288",
+     "start_time": "2024-09-10T14:14:31.186877",
      "status": "completed"
     },
     "tags": []
@@ -20,20 +20,20 @@
   {
    "cell_type": "code",
    "execution_count": 1,
-   "id": "6450541b",
+   "id": "c70348a5",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:51:01.144595Z",
-     "iopub.status.busy": "2024-09-10T13:51:01.144025Z",
-     "iopub.status.idle": "2024-09-10T13:51:02.933744Z",
-     "shell.execute_reply": "2024-09-10T13:51:02.932944Z"
+     "iopub.execute_input": "2024-09-10T14:14:31.210165Z",
+     "iopub.status.busy": "2024-09-10T14:14:31.209394Z",
+     "iopub.status.idle": "2024-09-10T14:14:32.646803Z",
+     "shell.execute_reply": "2024-09-10T14:14:32.646247Z"
     },
     "nbsphinx": "hidden",
     "papermill": {
-     "duration": 1.797631,
-     "end_time": "2024-09-10T13:51:02.935856",
+     "duration": 1.445301,
+     "end_time": "2024-09-10T14:14:32.648289",
      "exception": false,
-     "start_time": "2024-09-10T13:51:01.138225",
+     "start_time": "2024-09-10T14:14:31.202988",
      "status": "completed"
     },
     "tags": []
@@ -60,20 +60,20 @@
   {
    "cell_type": "code",
    "execution_count": 2,
-   "id": "72ff9e5f",
+   "id": "288bec57",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:51:02.940656Z",
-     "iopub.status.busy": "2024-09-10T13:51:02.940166Z",
-     "iopub.status.idle": "2024-09-10T13:51:02.949117Z",
-     "shell.execute_reply": "2024-09-10T13:51:02.948513Z"
+     "iopub.execute_input": "2024-09-10T14:14:32.651682Z",
+     "iopub.status.busy": "2024-09-10T14:14:32.651359Z",
+     "iopub.status.idle": "2024-09-10T14:14:32.653650Z",
+     "shell.execute_reply": "2024-09-10T14:14:32.653270Z"
     },
     "nbsphinx": "hidden",
     "papermill": {
-     "duration": 0.012798,
-     "end_time": "2024-09-10T13:51:02.950603",
+     "duration": 0.005254,
+     "end_time": "2024-09-10T14:14:32.654872",
      "exception": false,
-     "start_time": "2024-09-10T13:51:02.937805",
+     "start_time": "2024-09-10T14:14:32.649618",
      "status": "completed"
     },
     "tags": [
@@ -95,19 +95,19 @@
   {
    "cell_type": "code",
    "execution_count": 3,
-   "id": "f14e5297",
+   "id": "ef619523",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:51:02.953737Z",
-     "iopub.status.busy": "2024-09-10T13:51:02.953585Z",
-     "iopub.status.idle": "2024-09-10T13:51:02.961466Z",
-     "shell.execute_reply": "2024-09-10T13:51:02.961091Z"
+     "iopub.execute_input": "2024-09-10T14:14:32.657691Z",
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@@ -127,21 +127,21 @@
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@@ -170,14 +170,14 @@
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@@ -189,19 +189,19 @@
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@@ -305,13 +305,13 @@
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@@ -327,19 +327,19 @@
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    "cell_type": "code",
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@@ -372,14 +372,14 @@
   },
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@@ -394,19 +394,19 @@
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-   "id": "38c69ce7",
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@@ -438,13 +438,13 @@
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@@ -459,19 +459,19 @@
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@@ -524,8 +524,8 @@
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+   "end_time": "2024-09-10T14:14:34.148043",
    "environment_variables": {},
    "exception": null,
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@@ -537,7 +537,7 @@
     "x_scale": "log",
     "y_scale": "log"
    },
-   "start_time": "2024-09-10T13:51:00.334231",
+   "start_time": "2024-09-10T14:14:30.596743",
    "version": "2.6.0"
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diff --git a/_sources/notebooks/Multi_component_sources.ipynb.txt b/_sources/notebooks/Multi_component_sources.ipynb.txt
index 91299e8a..dde132de 100644
--- a/_sources/notebooks/Multi_component_sources.ipynb.txt
+++ b/_sources/notebooks/Multi_component_sources.ipynb.txt
@@ -2,7 +2,7 @@
  "cells": [
   {
    "cell_type": "markdown",
-   "id": "8b7a724d",
+   "id": "5519f005",
    "metadata": {},
    "source": [
     "# Multi-component sources"
@@ -10,7 +10,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "fb7839e5",
+   "id": "4d4a8dfa",
    "metadata": {},
    "source": [
     "A multi-component source is a point source (or extended source) which has different spectral\n",
@@ -30,25 +30,25 @@
   {
    "cell_type": "code",
    "execution_count": 1,
-   "id": "79c73d85",
+   "id": "87fc5b19",
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-     "shell.execute_reply": "2024-09-10T13:50:40.264401Z"
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     }
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    "outputs": [
     {
      "data": {
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13:50:39 WARNING   The naima package is not available. Models that depend on it will not be         functions.py:48\n",
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14:14:15 WARNING   The naima package is not available. Models that depend on it will not be         functions.py:48\n",
        "                  available                                                                                        \n",
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@@ -364,7 +364,7 @@
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   {
    "cell_type": "markdown",
-   "id": "a95b6b1c",
+   "id": "25d281c3",
    "metadata": {},
    "source": [
     "## Modifying features of the source and modify parameters of its spectrum\n",
@@ -378,13 +378,13 @@
   {
    "cell_type": "code",
    "execution_count": 2,
-   "id": "7131cc19",
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@@ -395,7 +395,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "19210072",
+   "id": "a16d8147",
    "metadata": {},
    "source": [
     "Change values for the parameters:"
@@ -404,13 +404,13 @@
   {
    "cell_type": "code",
    "execution_count": 3,
-   "id": "3cd2b0f4",
+   "id": "79639ee4",
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     "execution": {
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-     "shell.execute_reply": "2024-09-10T13:50:40.285648Z"
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+     "shell.execute_reply": "2024-09-10T14:14:16.059668Z"
     }
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    "outputs": [
@@ -705,7 +705,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c3d7d890",
+   "id": "94f3cb01",
    "metadata": {},
    "source": [
     "Spectral components can be assigned to python variables to modify several parameters without too much repetition:"
@@ -714,13 +714,13 @@
   {
    "cell_type": "code",
    "execution_count": 4,
-   "id": "c3680c44",
+   "id": "73a38e8d",
    "metadata": {
     "execution": {
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-     "iopub.status.idle": "2024-09-10T13:50:40.296948Z",
-     "shell.execute_reply": "2024-09-10T13:50:40.296094Z"
+     "iopub.execute_input": "2024-09-10T14:14:16.064742Z",
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+     "shell.execute_reply": "2024-09-10T14:14:16.071642Z"
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@@ -1016,7 +1016,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "20715641",
+   "id": "904a3ea3",
    "metadata": {},
    "source": [
     "Be careful when creating a shortcut directly to a parameter."
@@ -1025,13 +1025,13 @@
   {
    "cell_type": "code",
    "execution_count": 5,
-   "id": "93a4a6c0",
+   "id": "ae6f14f2",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:40.300636Z",
-     "iopub.status.busy": "2024-09-10T13:50:40.300425Z",
-     "iopub.status.idle": "2024-09-10T13:50:40.308154Z",
-     "shell.execute_reply": "2024-09-10T13:50:40.307480Z"
+     "iopub.execute_input": "2024-09-10T14:14:16.075875Z",
+     "iopub.status.busy": "2024-09-10T14:14:16.075676Z",
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+     "shell.execute_reply": "2024-09-10T14:14:16.084648Z"
     }
    },
    "outputs": [
@@ -1054,7 +1054,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e36cab41",
+   "id": "5291602a",
    "metadata": {},
    "source": [
     "This did **not** change the value of K, but instead assigned the float 0.3 to p1 (i.e., destroy the shortcut).   \n",
@@ -1065,13 +1065,13 @@
   {
    "cell_type": "code",
    "execution_count": 6,
-   "id": "a55ba151",
+   "id": "2f80fc32",
    "metadata": {
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@@ -1367,7 +1367,7 @@
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@@ -1375,7 +1375,7 @@
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diff --git a/_sources/notebooks/NonDissipativePhotosphere.ipynb.txt b/_sources/notebooks/NonDissipativePhotosphere.ipynb.txt
index 80c76bd2..04d3f42f 100644
--- a/_sources/notebooks/NonDissipativePhotosphere.ipynb.txt
+++ b/_sources/notebooks/NonDissipativePhotosphere.ipynb.txt
@@ -2,13 +2,13 @@
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@@ -20,20 +20,20 @@
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@@ -60,20 +60,20 @@
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@@ -127,21 +127,21 @@
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@@ -170,14 +170,14 @@
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@@ -189,19 +189,19 @@
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@@ -338,13 +338,13 @@
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@@ -360,19 +360,19 @@
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@@ -405,14 +405,14 @@
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@@ -427,19 +427,19 @@
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@@ -471,13 +471,13 @@
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@@ -492,19 +492,19 @@
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@@ -557,8 +557,8 @@
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@@ -570,7 +570,7 @@
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diff --git a/_sources/notebooks/NonDissipativePhotosphere_Deep.ipynb.txt b/_sources/notebooks/NonDissipativePhotosphere_Deep.ipynb.txt
index 8997c7df..457f99aa 100644
--- a/_sources/notebooks/NonDissipativePhotosphere_Deep.ipynb.txt
+++ b/_sources/notebooks/NonDissipativePhotosphere_Deep.ipynb.txt
@@ -2,13 +2,13 @@
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@@ -20,20 +20,20 @@
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@@ -60,20 +60,20 @@
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@@ -170,14 +170,14 @@
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@@ -189,19 +189,19 @@
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@@ -338,13 +338,13 @@
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@@ -360,19 +360,19 @@
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@@ -405,14 +405,14 @@
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@@ -427,19 +427,19 @@
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@@ -471,13 +471,13 @@
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@@ -492,19 +492,19 @@
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@@ -557,8 +557,8 @@
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@@ -570,7 +570,7 @@
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+   "start_time": "2024-09-10T14:14:37.967338",
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diff --git a/_sources/notebooks/PhAbs.ipynb.txt b/_sources/notebooks/PhAbs.ipynb.txt
index 5393a9f4..07d5dcb7 100644
--- a/_sources/notebooks/PhAbs.ipynb.txt
+++ b/_sources/notebooks/PhAbs.ipynb.txt
@@ -2,13 +2,13 @@
  "cells": [
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@@ -20,20 +20,20 @@
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@@ -60,20 +60,20 @@
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@@ -95,19 +95,19 @@
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@@ -127,21 +127,21 @@
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@@ -170,14 +170,14 @@
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@@ -189,19 +189,19 @@
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@@ -331,13 +331,13 @@
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@@ -353,19 +353,19 @@
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@@ -398,14 +398,14 @@
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@@ -420,19 +420,19 @@
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@@ -464,13 +464,13 @@
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+   "id": "f8623861",
    "metadata": {
     "papermill": {
-     "duration": 0.001635,
-     "end_time": "2024-09-10T13:51:31.360237",
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      "exception": false,
-     "start_time": "2024-09-10T13:51:31.358602",
+     "start_time": "2024-09-10T14:15:02.904949",
      "status": "completed"
     },
     "tags": []
@@ -485,19 +485,19 @@
   {
    "cell_type": "code",
    "execution_count": 8,
-   "id": "7a438377",
+   "id": "76967f3c",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:51:31.364082Z",
-     "iopub.status.busy": "2024-09-10T13:51:31.363938Z",
-     "iopub.status.idle": "2024-09-10T13:51:31.537382Z",
-     "shell.execute_reply": "2024-09-10T13:51:31.536992Z"
+     "iopub.execute_input": "2024-09-10T14:15:02.910838Z",
+     "iopub.status.busy": "2024-09-10T14:15:02.910667Z",
+     "iopub.status.idle": "2024-09-10T14:15:03.099262Z",
+     "shell.execute_reply": "2024-09-10T14:15:03.098881Z"
     },
     "papermill": {
-     "duration": 0.176841,
-     "end_time": "2024-09-10T13:51:31.538659",
+     "duration": 0.192243,
+     "end_time": "2024-09-10T14:15:03.100621",
      "exception": false,
-     "start_time": "2024-09-10T13:51:31.361818",
+     "start_time": "2024-09-10T14:15:02.908378",
      "status": "completed"
     },
     "tags": []
@@ -550,8 +550,8 @@
   },
   "papermill": {
    "default_parameters": {},
-   "duration": 3.796876,
-   "end_time": "2024-09-10T13:51:31.968947",
+   "duration": 3.938094,
+   "end_time": "2024-09-10T14:15:03.544152",
    "environment_variables": {},
    "exception": null,
    "input_path": "PhAbs.ipynb",
@@ -563,7 +563,7 @@
     "x_scale": "log",
     "y_scale": "log"
    },
-   "start_time": "2024-09-10T13:51:28.172071",
+   "start_time": "2024-09-10T14:14:59.606058",
    "version": "2.6.0"
   }
  },
diff --git a/_sources/notebooks/Point_source_tutorial.ipynb.txt b/_sources/notebooks/Point_source_tutorial.ipynb.txt
index 8bb92fa0..dc229ec6 100644
--- a/_sources/notebooks/Point_source_tutorial.ipynb.txt
+++ b/_sources/notebooks/Point_source_tutorial.ipynb.txt
@@ -2,7 +2,7 @@
  "cells": [
   {
    "cell_type": "markdown",
-   "id": "e8cb96b5",
+   "id": "0f3bf8bf",
    "metadata": {},
    "source": [
     "# Point sources #\n",
@@ -19,25 +19,25 @@
   {
    "cell_type": "code",
    "execution_count": 1,
-   "id": "97797614",
+   "id": "703e5261",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:41.342211Z",
-     "iopub.status.busy": "2024-09-10T13:50:41.341612Z",
-     "iopub.status.idle": "2024-09-10T13:50:43.127700Z",
-     "shell.execute_reply": "2024-09-10T13:50:43.126606Z"
+     "iopub.execute_input": "2024-09-10T14:14:17.031605Z",
+     "iopub.status.busy": "2024-09-10T14:14:17.031007Z",
+     "iopub.status.idle": "2024-09-10T14:14:18.190543Z",
+     "shell.execute_reply": "2024-09-10T14:14:18.190037Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/html": [
-       "
13:50:42 WARNING   The naima package is not available. Models that depend on it will not be         functions.py:48\n",
+       "
14:14:17 WARNING   The naima package is not available. Models that depend on it will not be         functions.py:48\n",
        "                  available                                                                                        \n",
        "
\n"
       ],
       "text/plain": [
-       "\u001b[38;5;46m13:50:42\u001b[0m\u001b[38;5;46m \u001b[0m\u001b[38;5;134mWARNING \u001b[0m \u001b[1;38;5;251m The naima package is not available. Models that depend on it will not be        \u001b[0m\u001b[1;38;5;251m \u001b[0m\u001b]8;id=78996;file:///Users/runner/work/astromodels/astromodels/astromodels/functions/functions_1D/functions.py\u001b\\\u001b[2mfunctions.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=147021;file:///Users/runner/work/astromodels/astromodels/astromodels/functions/functions_1D/functions.py#48\u001b\\\u001b[2m48\u001b[0m\u001b]8;;\u001b\\\n",
+       "\u001b[38;5;46m14:14:17\u001b[0m\u001b[38;5;46m \u001b[0m\u001b[38;5;134mWARNING \u001b[0m \u001b[1;38;5;251m The naima package is not available. Models that depend on it will not be        \u001b[0m\u001b[1;38;5;251m \u001b[0m\u001b]8;id=477330;file:///Users/runner/work/astromodels/astromodels/astromodels/functions/functions_1D/functions.py\u001b\\\u001b[2mfunctions.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=65734;file:///Users/runner/work/astromodels/astromodels/astromodels/functions/functions_1D/functions.py#48\u001b\\\u001b[2m48\u001b[0m\u001b]8;;\u001b\\\n",
        "\u001b[38;5;46m         \u001b[0m         \u001b[1;38;5;251mavailable                                                                        \u001b[0m\u001b[1;38;5;251m \u001b[0m\u001b[2m               \u001b[0m\n"
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@@ -52,7 +52,7 @@
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\n"
       ],
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-       "\u001b[38;5;46m        \u001b[0m\u001b[38;5;46m \u001b[0m\u001b[38;5;134mWARNING \u001b[0m \u001b[1;38;5;251m The GSL library or the pygsl wrapper cannot be loaded. Models that depend on it \u001b[0m\u001b[1;38;5;251m \u001b[0m\u001b]8;id=769711;file:///Users/runner/work/astromodels/astromodels/astromodels/functions/functions_1D/functions.py\u001b\\\u001b[2mfunctions.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=635084;file:///Users/runner/work/astromodels/astromodels/astromodels/functions/functions_1D/functions.py#69\u001b\\\u001b[2m69\u001b[0m\u001b]8;;\u001b\\\n",
+       "\u001b[38;5;46m        \u001b[0m\u001b[38;5;46m \u001b[0m\u001b[38;5;134mWARNING \u001b[0m \u001b[1;38;5;251m The GSL library or the pygsl wrapper cannot be loaded. Models that depend on it \u001b[0m\u001b[1;38;5;251m \u001b[0m\u001b]8;id=965498;file:///Users/runner/work/astromodels/astromodels/astromodels/functions/functions_1D/functions.py\u001b\\\u001b[2mfunctions.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=509894;file:///Users/runner/work/astromodels/astromodels/astromodels/functions/functions_1D/functions.py#69\u001b\\\u001b[2m69\u001b[0m\u001b]8;;\u001b\\\n",
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@@ -67,7 +67,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "91a95d02",
+   "id": "0dbc7253",
    "metadata": {},
    "source": [
     "We can also use Galactic coordinates:"
@@ -76,13 +76,13 @@
   {
    "cell_type": "code",
    "execution_count": 2,
-   "id": "406c8764",
+   "id": "2e1fadc6",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:43.133588Z",
-     "iopub.status.busy": "2024-09-10T13:50:43.132899Z",
-     "iopub.status.idle": "2024-09-10T13:50:43.137969Z",
-     "shell.execute_reply": "2024-09-10T13:50:43.137002Z"
+     "iopub.execute_input": "2024-09-10T14:14:18.193114Z",
+     "iopub.status.busy": "2024-09-10T14:14:18.192884Z",
+     "iopub.status.idle": "2024-09-10T14:14:18.201763Z",
+     "shell.execute_reply": "2024-09-10T14:14:18.201386Z"
     }
    },
    "outputs": [],
@@ -92,7 +92,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "13874ca0",
+   "id": "60b79fe0",
    "metadata": {},
    "source": [
     "As spectral shape we can use any function or any composite function (see\n",
@@ -101,7 +101,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "01daf783",
+   "id": "8f94c816",
    "metadata": {},
    "source": [
     "## Getting info about a point source\n",
@@ -114,13 +114,13 @@
   {
    "cell_type": "code",
    "execution_count": 3,
-   "id": "fb684372",
+   "id": "4ae93b3b",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:43.141550Z",
-     "iopub.status.busy": "2024-09-10T13:50:43.141312Z",
-     "iopub.status.idle": "2024-09-10T13:50:43.148873Z",
-     "shell.execute_reply": "2024-09-10T13:50:43.147700Z"
+     "iopub.execute_input": "2024-09-10T14:14:18.203818Z",
+     "iopub.status.busy": "2024-09-10T14:14:18.203715Z",
+     "iopub.status.idle": "2024-09-10T14:14:18.213373Z",
+     "shell.execute_reply": "2024-09-10T14:14:18.212995Z"
     }
    },
    "outputs": [
@@ -319,13 +319,13 @@
   {
    "cell_type": "code",
    "execution_count": 4,
-   "id": "8610c09e",
+   "id": "decacfba",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:43.152690Z",
-     "iopub.status.busy": "2024-09-10T13:50:43.152371Z",
-     "iopub.status.idle": "2024-09-10T13:50:43.158943Z",
-     "shell.execute_reply": "2024-09-10T13:50:43.157859Z"
+     "iopub.execute_input": "2024-09-10T14:14:18.215256Z",
+     "iopub.status.busy": "2024-09-10T14:14:18.215154Z",
+     "iopub.status.idle": "2024-09-10T14:14:18.224860Z",
+     "shell.execute_reply": "2024-09-10T14:14:18.224474Z"
     }
    },
    "outputs": [
@@ -385,7 +385,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "410f1212",
+   "id": "1ff7f60d",
    "metadata": {},
    "source": [
     "As you can see we have created a point source with one component automatically named \"main\", with a power law spectrum, at the\n",
@@ -394,7 +394,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1a10b91a",
+   "id": "cd56be47",
    "metadata": {},
    "source": [
     "## Converting between coordinate systems\n",
@@ -407,13 +407,13 @@
   {
    "cell_type": "code",
    "execution_count": 5,
-   "id": "fd194995",
+   "id": "a32600ba",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:43.162962Z",
-     "iopub.status.busy": "2024-09-10T13:50:43.162721Z",
-     "iopub.status.idle": "2024-09-10T13:50:43.189795Z",
-     "shell.execute_reply": "2024-09-10T13:50:43.188932Z"
+     "iopub.execute_input": "2024-09-10T14:14:18.226983Z",
+     "iopub.status.busy": "2024-09-10T14:14:18.226873Z",
+     "iopub.status.idle": "2024-09-10T14:14:18.239013Z",
+     "shell.execute_reply": "2024-09-10T14:14:18.238637Z"
     }
    },
    "outputs": [
@@ -470,7 +470,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "57d94b95",
+   "id": "a57c1fca",
    "metadata": {},
    "source": [
     "For more control on the output and many more options, such as transform\n",
@@ -482,13 +482,13 @@
   {
    "cell_type": "code",
    "execution_count": 6,
-   "id": "5a5947e6",
+   "id": "02c2f5fd",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:43.193582Z",
-     "iopub.status.busy": "2024-09-10T13:50:43.193340Z",
-     "iopub.status.idle": "2024-09-10T13:50:43.205873Z",
-     "shell.execute_reply": "2024-09-10T13:50:43.204480Z"
+     "iopub.execute_input": "2024-09-10T14:14:18.240998Z",
+     "iopub.status.busy": "2024-09-10T14:14:18.240853Z",
+     "iopub.status.idle": "2024-09-10T14:14:18.250738Z",
+     "shell.execute_reply": "2024-09-10T14:14:18.250379Z"
     }
    },
    "outputs": [
@@ -509,7 +509,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e7840fb7",
+   "id": "22d1e754",
    "metadata": {},
    "source": [
     "## Gotcha while accessing coordinates\n",
@@ -524,13 +524,13 @@
   {
    "cell_type": "code",
    "execution_count": 7,
-   "id": "8207d602",
+   "id": "8ae4e75c",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:43.212268Z",
-     "iopub.status.busy": "2024-09-10T13:50:43.211763Z",
-     "iopub.status.idle": "2024-09-10T13:50:43.220967Z",
-     "shell.execute_reply": "2024-09-10T13:50:43.220341Z"
+     "iopub.execute_input": "2024-09-10T14:14:18.252638Z",
+     "iopub.status.busy": "2024-09-10T14:14:18.252539Z",
+     "iopub.status.idle": "2024-09-10T14:14:18.262112Z",
+     "shell.execute_reply": "2024-09-10T14:14:18.261732Z"
     }
    },
    "outputs": [
@@ -581,7 +581,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "727b081e",
+   "id": "535fbf9b",
    "metadata": {},
    "source": [
     "The following would instead throw `AttributeError`, since `simple_source_icrs` was instanced using R.A. and Dec. and hence does not have the `l`, `b` parameters:"
@@ -590,13 +590,13 @@
   {
    "cell_type": "code",
    "execution_count": 8,
-   "id": "24411176",
+   "id": "bca7abe8",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:43.227634Z",
-     "iopub.status.busy": "2024-09-10T13:50:43.227199Z",
-     "iopub.status.idle": "2024-09-10T13:50:43.231114Z",
-     "shell.execute_reply": "2024-09-10T13:50:43.230343Z"
+     "iopub.execute_input": "2024-09-10T14:14:18.264023Z",
+     "iopub.status.busy": "2024-09-10T14:14:18.263927Z",
+     "iopub.status.idle": "2024-09-10T14:14:18.266222Z",
+     "shell.execute_reply": "2024-09-10T14:14:18.265857Z"
     }
    },
    "outputs": [
@@ -617,7 +617,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c145a052",
+   "id": "f2382f35",
    "metadata": {},
    "source": [
     "In all cases, independently on how the source was instanced, you can obtain the *values* of coordinates in degrees\n",
@@ -627,13 +627,13 @@
   {
    "cell_type": "code",
    "execution_count": 9,
-   "id": "bfbeb451",
+   "id": "315c9191",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:43.235131Z",
-     "iopub.status.busy": "2024-09-10T13:50:43.234877Z",
-     "iopub.status.idle": "2024-09-10T13:50:43.240492Z",
-     "shell.execute_reply": "2024-09-10T13:50:43.239650Z"
+     "iopub.execute_input": "2024-09-10T14:14:18.268074Z",
+     "iopub.status.busy": "2024-09-10T14:14:18.267948Z",
+     "iopub.status.idle": "2024-09-10T14:14:18.277503Z",
+     "shell.execute_reply": "2024-09-10T14:14:18.277056Z"
     }
    },
    "outputs": [
@@ -671,7 +671,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "94c28a46",
+   "id": "1ff4fc0b",
    "metadata": {},
    "source": [
     "## Fitting the source position\n",
@@ -682,13 +682,13 @@
   {
    "cell_type": "code",
    "execution_count": 10,
-   "id": "eeb9d035",
+   "id": "14cb94b7",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:43.244542Z",
-     "iopub.status.busy": "2024-09-10T13:50:43.244326Z",
-     "iopub.status.idle": "2024-09-10T13:50:43.248371Z",
-     "shell.execute_reply": "2024-09-10T13:50:43.247410Z"
+     "iopub.execute_input": "2024-09-10T14:14:18.279365Z",
+     "iopub.status.busy": "2024-09-10T14:14:18.279270Z",
+     "iopub.status.idle": "2024-09-10T14:14:18.285029Z",
+     "shell.execute_reply": "2024-09-10T14:14:18.284668Z"
     }
    },
    "outputs": [
@@ -710,7 +710,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "244f15ac",
+   "id": "ef3e5aee",
    "metadata": {},
    "source": [
     "For a source created in Galactic coordinates, instead use the following:"
@@ -719,13 +719,13 @@
   {
    "cell_type": "code",
    "execution_count": 11,
-   "id": "1aed8c62",
+   "id": "5f935da5",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:43.252382Z",
-     "iopub.status.busy": "2024-09-10T13:50:43.252058Z",
-     "iopub.status.idle": "2024-09-10T13:50:43.256006Z",
-     "shell.execute_reply": "2024-09-10T13:50:43.255129Z"
+     "iopub.execute_input": "2024-09-10T14:14:18.286917Z",
+     "iopub.status.busy": "2024-09-10T14:14:18.286819Z",
+     "iopub.status.idle": "2024-09-10T14:14:18.289200Z",
+     "shell.execute_reply": "2024-09-10T14:14:18.288826Z"
     }
    },
    "outputs": [
@@ -747,7 +747,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7503d6a9",
+   "id": "f5884e00",
    "metadata": {},
    "source": [
     "By default, the allowed range for the Right Ascension is from 0˚ to 360˚ and allowed declination values range from -90˚ to 90˚. **If fitting the source position, it is strongly recommended to restrict the coordinates to be inside the region of interest (ROI) at all times.** The source moving far enough from the ROI during the fit can lead to issues such as the minimizer getting \"stuck\" due to the likelihood surface being flat. For example:"
@@ -756,13 +756,13 @@
   {
    "cell_type": "code",
    "execution_count": 12,
-   "id": "4ce6a51b",
+   "id": "d4cae5a0",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:43.260143Z",
-     "iopub.status.busy": "2024-09-10T13:50:43.259904Z",
-     "iopub.status.idle": "2024-09-10T13:50:43.272164Z",
-     "shell.execute_reply": "2024-09-10T13:50:43.271367Z"
+     "iopub.execute_input": "2024-09-10T14:14:18.291116Z",
+     "iopub.status.busy": "2024-09-10T14:14:18.290988Z",
+     "iopub.status.idle": "2024-09-10T14:14:18.294681Z",
+     "shell.execute_reply": "2024-09-10T14:14:18.294094Z"
     }
    },
    "outputs": [
@@ -804,7 +804,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a5f468d5",
+   "id": "8fc4fc03",
    "metadata": {},
    "source": [
     "## \"Calling\" a point source\n",
@@ -815,13 +815,13 @@
   {
    "cell_type": "code",
    "execution_count": 13,
-   "id": "09fef324",
+   "id": "6ff07e2b",
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diff --git a/_sources/notebooks/Power_law_on_sphere.ipynb.txt b/_sources/notebooks/Power_law_on_sphere.ipynb.txt
index b5f64623..ee1b1494 100644
--- a/_sources/notebooks/Power_law_on_sphere.ipynb.txt
+++ b/_sources/notebooks/Power_law_on_sphere.ipynb.txt
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diff --git a/_sources/notebooks/Powerlaw.ipynb.txt b/_sources/notebooks/Powerlaw.ipynb.txt
index 5775e5a8..d2a497de 100644
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@@ -170,14 +170,14 @@
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diff --git a/_sources/notebooks/Powerlaw_Eflux.ipynb.txt b/_sources/notebooks/Powerlaw_Eflux.ipynb.txt
index 07f05901..4a730f47 100644
--- a/_sources/notebooks/Powerlaw_Eflux.ipynb.txt
+++ b/_sources/notebooks/Powerlaw_Eflux.ipynb.txt
@@ -2,13 +2,13 @@
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@@ -535,13 +535,13 @@
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@@ -556,19 +556,19 @@
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diff --git a/_sources/notebooks/Powerlaw_Prior.ipynb.txt b/_sources/notebooks/Powerlaw_Prior.ipynb.txt
index 5156605d..f3844626 100644
--- a/_sources/notebooks/Powerlaw_Prior.ipynb.txt
+++ b/_sources/notebooks/Powerlaw_Prior.ipynb.txt
@@ -2,13 +2,13 @@
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-     "start_time": "2024-09-10T13:53:41.136977",
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@@ -60,20 +60,20 @@
   {
    "cell_type": "code",
    "execution_count": 2,
-   "id": "9e7d10cb",
+   "id": "4a1e246a",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:53:42.569720Z",
-     "iopub.status.busy": "2024-09-10T13:53:42.569413Z",
-     "iopub.status.idle": "2024-09-10T13:53:42.577968Z",
-     "shell.execute_reply": "2024-09-10T13:53:42.577411Z"
+     "iopub.execute_input": "2024-09-10T14:17:26.813618Z",
+     "iopub.status.busy": "2024-09-10T14:17:26.813295Z",
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     "nbsphinx": "hidden",
     "papermill": {
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-     "start_time": "2024-09-10T13:53:42.567754",
+     "start_time": "2024-09-10T14:17:26.811626",
      "status": "completed"
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     "tags": [
@@ -90,19 +90,19 @@
   {
    "cell_type": "code",
    "execution_count": 3,
-   "id": "745871a1",
+   "id": "58546e02",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:53:42.581764Z",
-     "iopub.status.busy": "2024-09-10T13:53:42.581622Z",
-     "iopub.status.idle": "2024-09-10T13:53:42.589494Z",
-     "shell.execute_reply": "2024-09-10T13:53:42.589137Z"
+     "iopub.execute_input": "2024-09-10T14:17:26.825449Z",
+     "iopub.status.busy": "2024-09-10T14:17:26.825304Z",
+     "iopub.status.idle": "2024-09-10T14:17:26.827184Z",
+     "shell.execute_reply": "2024-09-10T14:17:26.826797Z"
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     "papermill": {
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-     "end_time": "2024-09-10T13:53:42.590714",
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      "exception": false,
-     "start_time": "2024-09-10T13:53:42.580205",
+     "start_time": "2024-09-10T14:17:26.823793",
      "status": "completed"
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     "tags": [
@@ -119,21 +119,21 @@
   {
    "cell_type": "code",
    "execution_count": 4,
-   "id": "3a6269ec",
+   "id": "6b74f1a9",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:53:42.593433Z",
-     "iopub.status.busy": "2024-09-10T13:53:42.593297Z",
-     "iopub.status.idle": "2024-09-10T13:53:42.602023Z",
-     "shell.execute_reply": "2024-09-10T13:53:42.601669Z"
+     "iopub.execute_input": "2024-09-10T14:17:26.831180Z",
+     "iopub.status.busy": "2024-09-10T14:17:26.831035Z",
+     "iopub.status.idle": "2024-09-10T14:17:26.837947Z",
+     "shell.execute_reply": "2024-09-10T14:17:26.837540Z"
     },
     "lines_to_next_cell": 0,
     "nbsphinx": "hidden",
     "papermill": {
-     "duration": 0.011587,
-     "end_time": "2024-09-10T13:53:42.603329",
+     "duration": 0.009731,
+     "end_time": "2024-09-10T14:17:26.839233",
      "exception": false,
-     "start_time": "2024-09-10T13:53:42.591742",
+     "start_time": "2024-09-10T14:17:26.829502",
      "status": "completed"
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     "tags": []
@@ -160,14 +160,14 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e119e0ec",
+   "id": "2cdd3c9d",
    "metadata": {
     "lines_to_next_cell": 0,
     "papermill": {
-     "duration": 0.000969,
-     "end_time": "2024-09-10T13:53:42.605293",
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      "exception": false,
-     "start_time": "2024-09-10T13:53:42.604324",
+     "start_time": "2024-09-10T14:17:26.840345",
      "status": "completed"
     },
     "tags": []
@@ -179,19 +179,19 @@
   {
    "cell_type": "code",
    "execution_count": 5,
-   "id": "695dd908",
+   "id": "a0f0d49b",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:53:42.607809Z",
-     "iopub.status.busy": "2024-09-10T13:53:42.607666Z",
-     "iopub.status.idle": "2024-09-10T13:53:42.611558Z",
-     "shell.execute_reply": "2024-09-10T13:53:42.611112Z"
+     "iopub.execute_input": "2024-09-10T14:17:26.843999Z",
+     "iopub.status.busy": "2024-09-10T14:17:26.843843Z",
+     "iopub.status.idle": "2024-09-10T14:17:26.854075Z",
+     "shell.execute_reply": "2024-09-10T14:17:26.853621Z"
     },
     "papermill": {
-     "duration": 0.006504,
-     "end_time": "2024-09-10T13:53:42.612733",
+     "duration": 0.013003,
+     "end_time": "2024-09-10T14:17:26.855352",
      "exception": false,
-     "start_time": "2024-09-10T13:53:42.606229",
+     "start_time": "2024-09-10T14:17:26.842349",
      "status": "completed"
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     "tags": []
@@ -327,13 +327,13 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1267d3a1",
+   "id": "e9f39951",
    "metadata": {
     "papermill": {
-     "duration": 0.001123,
-     "end_time": "2024-09-10T13:53:42.614982",
+     "duration": 0.001197,
+     "end_time": "2024-09-10T14:17:26.857819",
      "exception": false,
-     "start_time": "2024-09-10T13:53:42.613859",
+     "start_time": "2024-09-10T14:17:26.856622",
      "status": "completed"
     },
     "tags": []
@@ -349,19 +349,19 @@
   {
    "cell_type": "code",
    "execution_count": 6,
-   "id": "676a96f1",
+   "id": "53d42f51",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:53:42.617721Z",
-     "iopub.status.busy": "2024-09-10T13:53:42.617579Z",
-     "iopub.status.idle": "2024-09-10T13:53:42.711518Z",
-     "shell.execute_reply": "2024-09-10T13:53:42.711105Z"
+     "iopub.execute_input": "2024-09-10T14:17:26.860658Z",
+     "iopub.status.busy": "2024-09-10T14:17:26.860507Z",
+     "iopub.status.idle": "2024-09-10T14:17:26.954554Z",
+     "shell.execute_reply": "2024-09-10T14:17:26.954191Z"
     },
     "papermill": {
-     "duration": 0.096886,
-     "end_time": "2024-09-10T13:53:42.712883",
+     "duration": 0.097228,
+     "end_time": "2024-09-10T14:17:26.956115",
      "exception": false,
-     "start_time": "2024-09-10T13:53:42.615997",
+     "start_time": "2024-09-10T14:17:26.858887",
      "status": "completed"
     },
     "tags": [
@@ -402,13 +402,13 @@
   },
   {
    "cell_type": "markdown",
-   "id": "336ab9ff",
+   "id": "68b0eab6",
    "metadata": {
     "papermill": {
-     "duration": 0.001362,
-     "end_time": "2024-09-10T13:53:42.715847",
+     "duration": 0.001424,
+     "end_time": "2024-09-10T14:17:26.959227",
      "exception": false,
-     "start_time": "2024-09-10T13:53:42.714485",
+     "start_time": "2024-09-10T14:17:26.957803",
      "status": "completed"
     },
     "tags": []
@@ -422,19 +422,19 @@
   {
    "cell_type": "code",
    "execution_count": 7,
-   "id": "b2fe5473",
+   "id": "6d4a9476",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:53:42.719127Z",
-     "iopub.status.busy": "2024-09-10T13:53:42.718978Z",
-     "iopub.status.idle": "2024-09-10T13:53:43.049652Z",
-     "shell.execute_reply": "2024-09-10T13:53:43.049320Z"
+     "iopub.execute_input": "2024-09-10T14:17:26.963077Z",
+     "iopub.status.busy": "2024-09-10T14:17:26.962900Z",
+     "iopub.status.idle": "2024-09-10T14:17:27.300431Z",
+     "shell.execute_reply": "2024-09-10T14:17:27.299271Z"
     },
     "papermill": {
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-     "end_time": "2024-09-10T13:53:43.051095",
+     "duration": 0.342494,
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      "exception": false,
-     "start_time": "2024-09-10T13:53:42.717134",
+     "start_time": "2024-09-10T14:17:26.960775",
      "status": "completed"
     },
     "tags": []
@@ -452,7 +452,7 @@
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     {
      "data": {
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",
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",
       "text/plain": [
        "
"
       ]
@@ -503,8 +503,8 @@
   },
   "papermill": {
    "default_parameters": {},
-   "duration": 2.952569,
-   "end_time": "2024-09-10T13:53:43.389629",
+   "duration": 2.972613,
+   "end_time": "2024-09-10T14:17:27.735704",
    "environment_variables": {},
    "exception": null,
    "input_path": "Powerlaw_Prior.ipynb",
@@ -513,7 +513,7 @@
     "func_name": "Powerlaw_Prior",
     "positive_prior": true
    },
-   "start_time": "2024-09-10T13:53:40.437060",
+   "start_time": "2024-09-10T14:17:24.763091",
    "version": "2.6.0"
   }
  },
diff --git a/_sources/notebooks/Powerlaw_flux.ipynb.txt b/_sources/notebooks/Powerlaw_flux.ipynb.txt
index 65985d6c..d8b4f8d3 100644
--- a/_sources/notebooks/Powerlaw_flux.ipynb.txt
+++ b/_sources/notebooks/Powerlaw_flux.ipynb.txt
@@ -2,13 +2,13 @@
  "cells": [
   {
    "cell_type": "markdown",
-   "id": "8a4f90a3",
+   "id": "41d2020c",
    "metadata": {
     "papermill": {
-     "duration": 0.008194,
-     "end_time": "2024-09-10T13:52:06.138905",
+     "duration": 0.006074,
+     "end_time": "2024-09-10T14:15:40.692709",
      "exception": false,
-     "start_time": "2024-09-10T13:52:06.130711",
+     "start_time": "2024-09-10T14:15:40.686635",
      "status": "completed"
     },
     "tags": []
@@ -20,20 +20,20 @@
   {
    "cell_type": "code",
    "execution_count": 1,
-   "id": "f8c10a61",
+   "id": "7d1fa321",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:52:06.164958Z",
-     "iopub.status.busy": "2024-09-10T13:52:06.163751Z",
-     "iopub.status.idle": "2024-09-10T13:52:07.600262Z",
-     "shell.execute_reply": "2024-09-10T13:52:07.599789Z"
+     "iopub.execute_input": "2024-09-10T14:15:40.703079Z",
+     "iopub.status.busy": "2024-09-10T14:15:40.702521Z",
+     "iopub.status.idle": "2024-09-10T14:15:42.339251Z",
+     "shell.execute_reply": "2024-09-10T14:15:42.338435Z"
     },
     "nbsphinx": "hidden",
     "papermill": {
-     "duration": 1.456242,
-     "end_time": "2024-09-10T13:52:07.601743",
+     "duration": 1.644675,
+     "end_time": "2024-09-10T14:15:42.341554",
      "exception": false,
-     "start_time": "2024-09-10T13:52:06.145501",
+     "start_time": "2024-09-10T14:15:40.696879",
      "status": "completed"
     },
     "tags": []
@@ -60,20 +60,20 @@
   {
    "cell_type": "code",
    "execution_count": 2,
-   "id": "8fade2ea",
+   "id": "c5265151",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:52:07.605220Z",
-     "iopub.status.busy": "2024-09-10T13:52:07.604891Z",
-     "iopub.status.idle": "2024-09-10T13:52:07.613343Z",
-     "shell.execute_reply": "2024-09-10T13:52:07.612870Z"
+     "iopub.execute_input": "2024-09-10T14:15:42.345680Z",
+     "iopub.status.busy": "2024-09-10T14:15:42.345285Z",
+     "iopub.status.idle": "2024-09-10T14:15:42.348553Z",
+     "shell.execute_reply": "2024-09-10T14:15:42.347922Z"
     },
     "nbsphinx": "hidden",
     "papermill": {
-     "duration": 0.011431,
-     "end_time": "2024-09-10T13:52:07.614613",
+     "duration": 0.007311,
+     "end_time": "2024-09-10T14:15:42.350445",
      "exception": false,
-     "start_time": "2024-09-10T13:52:07.603182",
+     "start_time": "2024-09-10T14:15:42.343134",
      "status": "completed"
     },
     "tags": [
@@ -95,19 +95,19 @@
   {
    "cell_type": "code",
    "execution_count": 3,
-   "id": "f79ccf42",
+   "id": "d4257212",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:52:07.617392Z",
-     "iopub.status.busy": "2024-09-10T13:52:07.617251Z",
-     "iopub.status.idle": "2024-09-10T13:52:07.625392Z",
-     "shell.execute_reply": "2024-09-10T13:52:07.625023Z"
+     "iopub.execute_input": "2024-09-10T14:15:42.354376Z",
+     "iopub.status.busy": "2024-09-10T14:15:42.354160Z",
+     "iopub.status.idle": "2024-09-10T14:15:42.356929Z",
+     "shell.execute_reply": "2024-09-10T14:15:42.356392Z"
     },
     "papermill": {
-     "duration": 0.010931,
-     "end_time": "2024-09-10T13:52:07.626661",
+     "duration": 0.007069,
+     "end_time": "2024-09-10T14:15:42.358906",
      "exception": false,
-     "start_time": "2024-09-10T13:52:07.615730",
+     "start_time": "2024-09-10T14:15:42.351837",
      "status": "completed"
     },
     "tags": [
@@ -127,21 +127,21 @@
   {
    "cell_type": "code",
    "execution_count": 4,
-   "id": "5e4cc87a",
+   "id": "0fbbe0bc",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:52:07.629583Z",
-     "iopub.status.busy": "2024-09-10T13:52:07.629442Z",
-     "iopub.status.idle": "2024-09-10T13:52:07.632527Z",
-     "shell.execute_reply": "2024-09-10T13:52:07.632167Z"
+     "iopub.execute_input": "2024-09-10T14:15:42.362591Z",
+     "iopub.status.busy": "2024-09-10T14:15:42.362380Z",
+     "iopub.status.idle": "2024-09-10T14:15:42.373088Z",
+     "shell.execute_reply": "2024-09-10T14:15:42.372218Z"
     },
     "lines_to_next_cell": 0,
     "nbsphinx": "hidden",
     "papermill": {
-     "duration": 0.005869,
-     "end_time": "2024-09-10T13:52:07.633704",
+     "duration": 0.014632,
+     "end_time": "2024-09-10T14:15:42.374936",
      "exception": false,
-     "start_time": "2024-09-10T13:52:07.627835",
+     "start_time": "2024-09-10T14:15:42.360304",
      "status": "completed"
     },
     "tags": []
@@ -170,14 +170,14 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e1fb8266",
+   "id": "2866b4cb",
    "metadata": {
     "lines_to_next_cell": 0,
     "papermill": {
-     "duration": 0.001102,
-     "end_time": "2024-09-10T13:52:07.635925",
+     "duration": 0.001261,
+     "end_time": "2024-09-10T14:15:42.377605",
      "exception": false,
-     "start_time": "2024-09-10T13:52:07.634823",
+     "start_time": "2024-09-10T14:15:42.376344",
      "status": "completed"
     },
     "tags": []
@@ -189,19 +189,19 @@
   {
    "cell_type": "code",
    "execution_count": 5,
-   "id": "4ca2cb6b",
+   "id": "f7bb3793",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:52:07.638785Z",
-     "iopub.status.busy": "2024-09-10T13:52:07.638647Z",
-     "iopub.status.idle": "2024-09-10T13:52:07.642887Z",
-     "shell.execute_reply": "2024-09-10T13:52:07.642522Z"
+     "iopub.execute_input": "2024-09-10T14:15:42.380932Z",
+     "iopub.status.busy": "2024-09-10T14:15:42.380732Z",
+     "iopub.status.idle": "2024-09-10T14:15:42.389987Z",
+     "shell.execute_reply": "2024-09-10T14:15:42.389403Z"
     },
     "papermill": {
-     "duration": 0.007244,
-     "end_time": "2024-09-10T13:52:07.644200",
+     "duration": 0.013018,
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      "exception": false,
-     "start_time": "2024-09-10T13:52:07.636956",
+     "start_time": "2024-09-10T14:15:42.378747",
      "status": "completed"
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     "tags": []
@@ -370,13 +370,13 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5647d96a",
+   "id": "e68c8cea",
    "metadata": {
     "papermill": {
-     "duration": 0.001205,
-     "end_time": "2024-09-10T13:52:07.646690",
+     "duration": 0.001339,
+     "end_time": "2024-09-10T14:15:42.394719",
      "exception": false,
-     "start_time": "2024-09-10T13:52:07.645485",
+     "start_time": "2024-09-10T14:15:42.393380",
      "status": "completed"
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     "tags": []
@@ -392,19 +392,19 @@
   {
    "cell_type": "code",
    "execution_count": 6,
-   "id": "b4c4b338",
+   "id": "3c2d1370",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:52:07.649677Z",
-     "iopub.status.busy": "2024-09-10T13:52:07.649530Z",
-     "iopub.status.idle": "2024-09-10T13:52:08.077186Z",
-     "shell.execute_reply": "2024-09-10T13:52:08.076762Z"
+     "iopub.execute_input": "2024-09-10T14:15:42.398456Z",
+     "iopub.status.busy": "2024-09-10T14:15:42.398244Z",
+     "iopub.status.idle": "2024-09-10T14:15:42.893182Z",
+     "shell.execute_reply": "2024-09-10T14:15:42.891993Z"
     },
     "papermill": {
-     "duration": 0.430661,
-     "end_time": "2024-09-10T13:52:08.078496",
+     "duration": 0.499435,
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      "exception": false,
-     "start_time": "2024-09-10T13:52:07.647835",
+     "start_time": "2024-09-10T14:15:42.395982",
      "status": "completed"
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     "tags": [
@@ -437,14 +437,14 @@
   },
   {
    "cell_type": "markdown",
-   "id": "104f8646",
+   "id": "3c5e7614",
    "metadata": {
     "lines_to_next_cell": 0,
     "papermill": {
-     "duration": 0.001442,
-     "end_time": "2024-09-10T13:52:08.081656",
+     "duration": 0.001702,
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      "exception": false,
-     "start_time": "2024-09-10T13:52:08.080214",
+     "start_time": "2024-09-10T14:15:42.897504",
      "status": "completed"
     },
     "tags": []
@@ -459,19 +459,19 @@
   {
    "cell_type": "code",
    "execution_count": 7,
-   "id": "4f302e14",
+   "id": "997556bd",
    "metadata": {
     "execution": {
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-     "iopub.status.busy": "2024-09-10T13:52:08.085257Z",
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-     "shell.execute_reply": "2024-09-10T13:52:08.283641Z"
+     "iopub.execute_input": "2024-09-10T14:15:42.904169Z",
+     "iopub.status.busy": "2024-09-10T14:15:42.903917Z",
+     "iopub.status.idle": "2024-09-10T14:15:43.146440Z",
+     "shell.execute_reply": "2024-09-10T14:15:43.145342Z"
     },
     "papermill": {
-     "duration": 0.202491,
-     "end_time": "2024-09-10T13:52:08.285517",
+     "duration": 0.246958,
+     "end_time": "2024-09-10T14:15:43.147931",
      "exception": false,
-     "start_time": "2024-09-10T13:52:08.083026",
+     "start_time": "2024-09-10T14:15:42.900973",
      "status": "completed"
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     "tags": []
@@ -503,13 +503,13 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1a304100",
+   "id": "dd7dcc66",
    "metadata": {
     "papermill": {
-     "duration": 0.001799,
-     "end_time": "2024-09-10T13:52:08.289336",
+     "duration": 0.001779,
+     "end_time": "2024-09-10T14:15:43.151785",
      "exception": false,
-     "start_time": "2024-09-10T13:52:08.287537",
+     "start_time": "2024-09-10T14:15:43.150006",
      "status": "completed"
     },
     "tags": []
@@ -524,19 +524,19 @@
   {
    "cell_type": "code",
    "execution_count": 8,
-   "id": "732859ca",
+   "id": "26494110",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:52:08.293821Z",
-     "iopub.status.busy": "2024-09-10T13:52:08.293669Z",
-     "iopub.status.idle": "2024-09-10T13:52:08.522046Z",
-     "shell.execute_reply": "2024-09-10T13:52:08.521619Z"
+     "iopub.execute_input": "2024-09-10T14:15:43.157174Z",
+     "iopub.status.busy": "2024-09-10T14:15:43.156974Z",
+     "iopub.status.idle": "2024-09-10T14:15:43.405626Z",
+     "shell.execute_reply": "2024-09-10T14:15:43.404793Z"
     },
     "papermill": {
-     "duration": 0.232462,
-     "end_time": "2024-09-10T13:52:08.523416",
+     "duration": 0.256897,
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      "exception": false,
-     "start_time": "2024-09-10T13:52:08.290954",
+     "start_time": "2024-09-10T14:15:43.153755",
      "status": "completed"
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@@ -589,8 +589,8 @@
   },
   "papermill": {
    "default_parameters": {},
-   "duration": 3.302748,
-   "end_time": "2024-09-10T13:52:08.857730",
+   "duration": 3.829548,
+   "end_time": "2024-09-10T14:15:43.854572",
    "environment_variables": {},
    "exception": null,
    "input_path": "Powerlaw_flux.ipynb",
@@ -602,7 +602,7 @@
     "x_scale": "log",
     "y_scale": "log"
    },
-   "start_time": "2024-09-10T13:52:05.554982",
+   "start_time": "2024-09-10T14:15:40.025024",
    "version": "2.6.0"
   }
  },
diff --git a/_sources/notebooks/Priors_for_Bayesian_analysis.ipynb.txt b/_sources/notebooks/Priors_for_Bayesian_analysis.ipynb.txt
index 8f820228..281b7951 100644
--- a/_sources/notebooks/Priors_for_Bayesian_analysis.ipynb.txt
+++ b/_sources/notebooks/Priors_for_Bayesian_analysis.ipynb.txt
@@ -2,7 +2,7 @@
  "cells": [
   {
    "cell_type": "markdown",
-   "id": "56c59607",
+   "id": "994de64d",
    "metadata": {},
    "source": [
     "# Priors for Bayesian analysis\n",
@@ -18,13 +18,13 @@
   {
    "cell_type": "code",
    "execution_count": 1,
-   "id": "67e2356b",
+   "id": "b401e968",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:45.328786Z",
-     "iopub.status.busy": "2024-09-10T13:50:45.328174Z",
-     "iopub.status.idle": "2024-09-10T13:50:46.929351Z",
-     "shell.execute_reply": "2024-09-10T13:50:46.928330Z"
+     "iopub.execute_input": "2024-09-10T14:14:19.703408Z",
+     "iopub.status.busy": "2024-09-10T14:14:19.703294Z",
+     "iopub.status.idle": "2024-09-10T14:14:20.835964Z",
+     "shell.execute_reply": "2024-09-10T14:14:20.835441Z"
     },
     "lines_to_next_cell": 2
    },
@@ -42,7 +42,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a45e52b0",
+   "id": "d80a4ec0",
    "metadata": {},
    "source": [
     "Now let’s assign uniform priors to the parameters of the powerlaw\n",
@@ -52,13 +52,13 @@
   {
    "cell_type": "code",
    "execution_count": 2,
-   "id": "10fbd395",
+   "id": "99359ff8",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:46.933502Z",
-     "iopub.status.busy": "2024-09-10T13:50:46.933090Z",
-     "iopub.status.idle": "2024-09-10T13:50:46.938308Z",
-     "shell.execute_reply": "2024-09-10T13:50:46.937334Z"
+     "iopub.execute_input": "2024-09-10T14:14:20.838540Z",
+     "iopub.status.busy": "2024-09-10T14:14:20.838283Z",
+     "iopub.status.idle": "2024-09-10T14:14:20.841230Z",
+     "shell.execute_reply": "2024-09-10T14:14:20.840897Z"
     }
    },
    "outputs": [
@@ -163,7 +163,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e78919d4",
+   "id": "6149a75f",
    "metadata": {},
    "source": [
     "We can use it as such:"
@@ -172,13 +172,13 @@
   {
    "cell_type": "code",
    "execution_count": 3,
-   "id": "79d4b1a9",
+   "id": "3b505c6b",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:46.942206Z",
-     "iopub.status.busy": "2024-09-10T13:50:46.941974Z",
-     "iopub.status.idle": "2024-09-10T13:50:46.947306Z",
-     "shell.execute_reply": "2024-09-10T13:50:46.946615Z"
+     "iopub.execute_input": "2024-09-10T14:14:20.843379Z",
+     "iopub.status.busy": "2024-09-10T14:14:20.843249Z",
+     "iopub.status.idle": "2024-09-10T14:14:20.852657Z",
+     "shell.execute_reply": "2024-09-10T14:14:20.852306Z"
     }
    },
    "outputs": [
@@ -208,7 +208,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "cc3b04e2",
+   "id": "833b67cf",
    "metadata": {},
    "source": [
     "Now, lets's set a Gaussian prior on the spectral index"
@@ -217,13 +217,13 @@
   {
    "cell_type": "code",
    "execution_count": 4,
-   "id": "bcd5bfb4",
+   "id": "e7900b2d",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:46.951144Z",
-     "iopub.status.busy": "2024-09-10T13:50:46.950924Z",
-     "iopub.status.idle": "2024-09-10T13:50:46.962041Z",
-     "shell.execute_reply": "2024-09-10T13:50:46.961417Z"
+     "iopub.execute_input": "2024-09-10T14:14:20.854518Z",
+     "iopub.status.busy": "2024-09-10T14:14:20.854414Z",
+     "iopub.status.idle": "2024-09-10T14:14:20.857853Z",
+     "shell.execute_reply": "2024-09-10T14:14:20.857495Z"
     }
    },
    "outputs": [
@@ -252,13 +252,13 @@
   {
    "cell_type": "code",
    "execution_count": 5,
-   "id": "b8d28782",
+   "id": "9bc7b626",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:46.964962Z",
-     "iopub.status.busy": "2024-09-10T13:50:46.964775Z",
-     "iopub.status.idle": "2024-09-10T13:50:47.377040Z",
-     "shell.execute_reply": "2024-09-10T13:50:47.376314Z"
+     "iopub.execute_input": "2024-09-10T14:14:20.859781Z",
+     "iopub.status.busy": "2024-09-10T14:14:20.859647Z",
+     "iopub.status.idle": "2024-09-10T14:14:21.173754Z",
+     "shell.execute_reply": "2024-09-10T14:14:21.173352Z"
     }
    },
    "outputs": [
@@ -274,7 +274,7 @@
     },
     {
      "data": {
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",
       "text/plain": [
        "
"
       ]
@@ -309,13 +309,13 @@
   {
    "cell_type": "code",
    "execution_count": 6,
-   "id": "a085684f",
+   "id": "74cacf92",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:47.380404Z",
-     "iopub.status.busy": "2024-09-10T13:50:47.380079Z",
-     "iopub.status.idle": "2024-09-10T13:50:47.486006Z",
-     "shell.execute_reply": "2024-09-10T13:50:47.485548Z"
+     "iopub.execute_input": "2024-09-10T14:14:21.175792Z",
+     "iopub.status.busy": "2024-09-10T14:14:21.175606Z",
+     "iopub.status.idle": "2024-09-10T14:14:21.264718Z",
+     "shell.execute_reply": "2024-09-10T14:14:21.264273Z"
     }
    },
    "outputs": [
@@ -331,7 +331,7 @@
     },
     {
      "data": {
-      "image/png": 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EzJkz45prromtW7fG1VdfHZMmTYqioqLYvHlz1NTURL9+/eLAAw+MAw88sMnH6Nu3bxxxxBE5qB6AfNXSkbeWBq6C3qkon31dVM2viK2rVkdR2cAWha5swbFHwb6RqWs6DbQlgTJi7zakAaB7y/sAGBFx5ZVXxrXXXhuTJ0+OgoKCGD9+fEydOjUiImbPnh3PPfdcPPXUUzmuEoBca82oV0tG3vbZf/8WBa56Bb1TrV6fly04NuwC+ue/xI6amti3sDB6H31Ui0fxdrchTcnYMUYGARKsRyaTyeS6iK6qfhOYVCoVgwcPznU5AImWbU1fYWlps6Nee1wDuM8+UX7z7Og9qKyDKu44r9w0J2u4Pfi0UyO9clWL7xEAXUNrckmXGAEEgD1p7TEMu4689Tzk4Hj7z3+J7W9URa/+R8RRX70wCg/r20nVt6/mRjd31NRkvUev3DwnClIpI4IACSAAAtDlZJvq2ZZjGNoyZbMraG5Dmn333z9r/7/9dnlEvLtWcN3DP43SiROi9OyzBEGAbkgABKBLqA99b7/659jyxxejbsuWiPi/DU4OHT0q6+tauolLd9LchjRV8yti85JndvvaHdu2xdoHHoqNTy8yNRSgGxIAAch7e1qvV99eWFra6mMYuqtso5vZRgab49B5gO5JAAQg77XkzL6a9W+06RiGJNl1ZPCd6uqG6Z/Z1E+fdaYgQPchAAKQ91pyZl9R2cBuu6avPb33Hu1pZLWobKAzBQG6mX1yXQAA7ElqD0cxJHmq596oHxHsf+5nYp9evRpdq7+nu9tdFYCuxwggAHkv29q1guLiOHDIB1p1QDpNFfROxYBJn47Ss8/KOn22udHXTYsWmxIK0AU5CH4vOAgeoPPUr0Ozvq9zrXtkXqy+657d9nGYPEBuOQgegG7H+r7caMnOoQ6TB+g6jADuBSOAACTBe0df02vWxtaVK3fbf59evaKfw+QBOk1rcolNYACA3aoffT32m1Pi0I+M3GP/nf97mPyKSy+Puup0J1QIQEsJgABAi5WMHROFpaUt6lvzRlWs/8UvO7giAFrDGkAAOowDxLuf1h4mX/Xk/Nj2+nr//gB5whrAvWANIEDzsh0ybrfI7mdPh8m/l39/gI5hDSAAOecA8WSoHxEsLh+6x77+/QFyzxRQANrNe6d8bl27NmufratWd3JVdLSC3ql4/+WXxguXXB7bq6p229e/P0BuCYAAtIuaDW/GikunRt2WLbvtV1Q2sJMqojMV9E7FB2+6YY9rA/37A+SWAAjAXqurTrco/PXqVxolY8d0UlV0tvrjIiKyrw307w+QewIgAHutan5Fs+EvdeSgKOrfP4rKBtoFMkF23S3Uvz9AfhAAAdhr6ZWrmr12yKiRDaNCJMt7RwQByA92AQVgr6UGlWVtLyguNuUPAPKIAAjAXisZOyYKS0sbtRUUF0f5jdeb8gcAecQUUAD2mvVeANA1CIAAtAvrvQAg/5kCCgAAkBACIAAAQEIIgAAAAAkhAAIAACSEAAgAAJAQAiAAAEBCCIAAAAAJIQACAAAkhIPgARKqrjodVfMrIr1yVaQGlUXJ2DFR0DuV67IAgA4kAAIkUF11OlZcNi1q1q+PiIhNCxfFhooFUT77OiEQALoxU0ABEqhqfkVD+KtXs359VM2vyFFFsPfqqtOx7pF58cpNc2LdI/Oirjqd65IA8o4RQIAESq9clbV966rVnVsItJNso9prH3w4hlz/veg9qCy3xQHkESOAAAmUauYX4qKygZ1bCLSTbKPaO7dvjxX/emnUbHgzR1UB5B8BECCBSsaOicLS0kZtvfqVRsnYMTmqCPZOc6PakcnEq7f9oFNrAchnpoACJFBB71SUz74uquZXxNZVq6OobKBdQOnSUoPKYtPCRVmvvf3HF2PdI/O8xwEiokcmk8nkuoiuqrKyMtLpdKRSqRg8eHCuywGAxKqrTsfS8y6I2Lmz2T6FpaV2ugW6pdbkElNAAYAur6B3Kg4/68zd9rHTLYAACAB0EwMmfSb2P6zvbvvY6RZIOgEQAOgWCnqn4oM33xgDv3BepI4clLWPnW6BpBMAAYBuo6B3Ko44Z2J8YOZ37HQLkIVdQAGAbsdOtwDZCYAAQLdUPxoIwP8RAAG6sLrqdFTNr4j0ylWRGlRmhAMA2C0BEKCLqqtOx4rLpkXN+vUREbFp4aLYULHAOWcAQLNsAgPQRVXNr2gIf/WccwYA7I4RQIAuKr1yVdZ255xB25hSDSSBAAjQRaUGlcWmhYuatDvnDFqvrjodL1xyeWyvqoqId6dUVz1ZER+86QYhEOhWTAEF6KJKxo5xzhm0k/W/+GVD+Ku3vaoq1v/ilzmqCKBjGAEE6KKccwbtZ/Ozz2Vtf2vpczFg0qc7uRqAjiMAAnRhzjmD9pLJdQEAncIUUAAg8Q7+8PCs7X2Gn9LJlQB0LCOAAHnMroTQOUrPPis2/vrpqHnj/9YBFh5+ePQ9/aOx7pF5/h8Euo0emUzGnIc2qqysjHQ6HalUKgYPHpzrcoBuZteD3iMiCktLHfQOHaT+gUv9mtpDTjs1Xrx6pv8HgbzXmlxiCihAnnLQO3Su+jW1x35zShxxzsTY9JslWf8ffOXmOVFXnc5RlQB7xxRQgDzy3imfW9euzdrHQe/QOdIrV2Vt/9tvl8eKy6YZCQS6JAEQIE9km/KZjYPeoXOkBpXFpoWLsl6rH423Cy/Q1ZgCCpAnsk353JWD3qHzlIwdE4Wlpc1eNxoPdEVGAAHyRHPTzVJHDoqi/v0d9A6drKB3KspnXxev3Dwn/vbb5U2uG40HuiIBECBPNDfd7JBRI00zgxwp6J2K4775L02mZ/fqVxqHnHaqIyKALkcABMgTJWPHxIaKBU1+yTTlE3KrfiRwd0dEbFq4KDZULLAxDJD3BECAPJHtl0wjCpAf6o+IqLfukXnNHtNixB7IZwIgQB7Z9ZdMID81t2bXxjBAvrMLKABAK6UGlWVttzEMkO8EQACAVsp2RIQ1u0BXYAooAEArWbMLdFUCIABAG1izC3RFAiAAQDurq05H1fwKZwQCeUcABABoR3XV6UYHxzsjEMgnNoEBAGhHVfMrmj0jECDXBEAAgHbkjEAgnwmAAADtyBmBQD4TAAEA2pEzAoF8ZhMYgHZm9z9INmcEAvlMAARoR3b/AyKcEQjkL1NAAdqR3f+APamrTse6R+bFKzfNiXWPzIu66nSuSwISxAggQDuy+x+wO2YJALlmBBCgHdn9D9gdswSAXBMAAdqR3f+A3TFLAMg1U0AB2pHd/4DdSQ0qi00LFzVpN0sA6CwCIEAb7O6oB7v/Ac0pGTsmNlQsaDQN1CwBoDMJgACtZBMHoK3MEgByTQAEaKXdbeJg5A/YE7MEgFyyCQxAK9nEAQDoqvJ+BLC2tjauvfbaeOKJJ2Lnzp0xZsyYmDFjRqRSTadKbNu2LWbNmhVPPvlk7NixI0444YSYOnVqHH/88TmoHOiubOIAdJS66nSs/8UvY/Ozz0VEJg7+8PAoPfssU0SBdpP3I4CzZs2KJUuWxJw5c+L222+PysrKmDFjRta+N9xwQzz99NNxww03xF133RVFRUVx4YUXxpYtWzq5aqA7c9QD0BHqqtPxwiWXx9oHHoqtK1fG1pWrYu0DD8WKSy+Puup0rssDuom8HgHcsmVLzJ07N2677bYYMWJERERMnz49zj///Ni8eXMcfPDBDX137NgRP//5z2PGjBkxevToiIi4/vrrY9iwYfHCCy/ERz7ykZx8DUD3YxMHoCNUza+I7VVVTdpr3qiyxhhoN3kdAJcvXx4R0RD+IiLKy8ujoKAgli5dGuPGjWtor66ujqOPPjpOOOGEhrZ99903evToEdu3b++8ooFEsIkD0N6aW18cYY0x0H7yOgCuWbMm+vbtGz179mxo69mzZ/Tp0yc2b97cqO+BBx4YDz/8cMPft2/fHrfeemsUFxfHsGHD2lzDyJEjm702ZcqUOPLII9v8sQEA6jW3vjjCGmOg/eT1GsB0Oh2FhYVN2ouKiiKdbn4u/PXXXx/l5eXx4x//OC644II46KCDOrBKAIC9VzJ2TOxfUtKkvfDww60xBtpNXo8AFhcXR01NTZP27du3R3FxcbOv+8pXvhJnnnlmLFy4MP793/89BgwYEGeffXabali8eHGz1yorK3cbRAEAWqqgdyo+eNMNsf4Xv4y3lj4XERF9hp9iF1CgXeV1AOzbt29s3LgxamtrG6aB1tXVxcaNG6Nfv36N+lZVVcUf//jH+NjHPhYHH3xwHHzwwTF06ND43e9+FwsWLGhzAAQA6CwFvVMxYNKnY8CkT+e6FKCbyuspoMOHD49MJhPPP/98Q9uyZcsik8k0Wde3Zs2a+Od//udYuXJlo/ba2tpGu4UCAHRFddXpWPfIvHjlpjmx7pF5joYA2iSvRwCLi4tjwoQJMXPmzLjmmmti69atcfXVV8ekSZOiqKgoNm/eHDU1NdGvX7848cQTY9CgQXHFFVfElClT4sADD4zHHnssfve738UVV1yR6y8FAKDN6qrTseKyaVGzfn1ERGxauCg2VCyI8tnXmR4KtEpejwBGRFx55ZVx8sknx+TJk+Pyyy+Pj33sYzF16tSIiJg9e3acd955ERGx3377xY9+9KN43/veF//6r/8aX/jCF+KFF16IO++8M97//vfn8ksAANgrVfMrGsJfvZr166NqfkWOKgK6qh6ZTCaT6yK6qvpNYFKpVAwePDjX5QAA3dQrN83JekTEoaM/Esd+c0oOKgLySWtySd6PAAIAJF1qUFnWducDAq0lAAIA5LmSsWOisLS0UVuvfqXOBwRaLa83gQEA4N3jIcpnXxdV8yti66rVUVQ2MErGjrEBDNBqAiAAQBdQ0DsVR5wzMddlAF2cKaAAAAAJIQACAAAkhAAIAACQEAIgAABAQgiAAAAACWEXUCAR6qrTUTW/ItIrV0VqUJnt0wGARBIAgW6vrjodKy6bFjXr10dExKaFi2JDxYIon32dEAgAJIopoEC3VzW/oiH81atZvz6q5lfkqCIAgNwwAgh0e+mVq7K2b121unMLAehkpr8DuxIAgW4vNagsNi1c1KS9qGxgDqoB6BymvwPZmAIKdHslY8dEYWlpo7Ze/UqjZOyYHFUE0PFMfweyMQIIdHsFvVNRPvu6qJpfEVtXrY6isoGmQQHdnunvQDYCIJAIBb1TccQ5E3NdBkCnMf0dyMYUUACAbsj0dyAbI4AAAN2Q6e9ANgIgAEA3Zfo7sCtTQAEAABJCAAQAAEgIARAAACAhBEAAAICEEAABAAASQgAEAABICAEQAAAgIQRAAACAhHAQPNBl1FWno2p+RaRXrorUoLIoGTsmCnqncl0WAECX0eoRwHfeeSeGDh0aCxYs6Ih6ALKqq07Hisumxeq77olNCxfF6rvuiRWXTYu66nSuSwMA6DJaHQD322+/GDZsWDzzzDMdUQ9AVlXzK6Jm/fpGbTXr10fV/IocVQTQfdVVp2PdI/PilZvmxLpH5nnYBt1Im6aAnnfeeTFt2rTYsWNHjBo1Knr16tWkz4gRI/a6OIB66ZWrsrZvXbW6cwsB6ObqZ1zUP3TbtHBRrH34p9Fv4oQoPfssU++hi2tTAJw8eXJERDzwwAPxwAMPNLT36NEjMplM9OjRI15++eX2qRBIrPeu+atLZ3/6XFQ2sJOrAujess242LltW6x94KHY+PSiKJ99nRAIXVibAuDdd9/d3nUANLLrE+iIiB777huZHTsa/t6rX2mUjB2Ti/IAuq3mZlxE/N/U+yPOmdhp9QDtq00B8JRTTmnvOgAayfYEOrNjRxx08kmxX+/eUVQ20C6gAB0gNagsNi1c1Oz1TYsW+/4LXVibzwGsrKyMiy66KIYPHx5DhgyJj33sY3H11VfHG2+80Z71AQlUV52Ojc388rFf795x7DenxBHnTPTLB0AHKBk7JgpLS5u9nn5tpV2YoQtrUwCsrKyMc889NyorK+Mf//Ef4/Of/3yccMIJ8fOf/zwmTpwYf/7zn9u7TiAh6qd+bm1mCpI1fwAdq6B3KspnXxf9z/1M7Jtlo78IuzBDV9amKaD/9m//FieccELceeedsf/++ze0b9myJf7pn/4pbr755vj+97/fbkUCyZFt6mc9a/4AOkdB71QMmPTpKD37rPjDt66KrStXNuljF2bomto0Arhs2bKYNGlSo/AXEVFcXByf+9zn4vnnn2+X4oDkaW7zgdSRg2LoDXaeA+hMBb1TcehHRma9ZkYGdE1tCoCZTCbq6uqyXtu5c2fU1NTsVVFAcqUGlWVtP2TUSOEPIAeyrQk0IwO6rjZNAT3xxBPjwQcfjHHjxkXPnj0b2jOZTDz66KNx3HHHtVuBQLKUjB0TGyoWNJoG6hcNgNypXxNYNb8itq5abRdm6OJ6ZDKZTGtf9Ic//CHOO++86NOnT5x11llx+OGHx1tvvRVPPPFEvPbaa/GDH/wgRo8e3RH15pXKyspIp9ORSqVi8ODBuS4Huo36A+D9ogEAsGetySVtGgEcMmRI3HPPPXHTTTfFT37yk4bpoIMHD47vf//7iQh/QMcp6J1yyDAAQAdoUwCMeDcE/ud//mfU1tbGX//610ilUtG7d+/2rA3o5upH+tIrV0VqUJmRPgCADtbiAPjMM8/E8ccfHwceeGA888wze+w/YsSIvSoM6N5qNrwZKy6dGnVbtkRExKaFi2JDxYIon22nTwCAjtLiAPjFL34xfvSjH8XIkSPji1/8YvTo0SN2XT5Y39ajR494+eWX271YoHuoq043Cn/16g8WNv0TAKBjtDgA3n333Q0LCu++++4OKwjo/qrmVzQJf/UcLAwA0HFaHABPOeWUiIh45513Yv369TFixIg47LDDOqwwoPtq7rD3CAcLA3Rl1nZD/mv1QfD77bdfzJo1K5YtW9YR9QAJ0Nxh7wXFxc77A+ii6qrTseKyabH6rnti08JFsfque2LFZdOirjqd69KA92h1AIyIOO+88+Kee+6Jbdu2tXc9QAKUjB0ThaWljdoKiouj/MbrPSkG6KKq5ldEzfr1jdrq13YD+aNNx0D8/e9/j1WrVsXHPvaxOPnkk6NXr16Nrvfo0SOuv/76dikQ6H4KeqeifPZ1DnsH6Eaam95vbTfklzYFwAULFkQq9e4vai+++GKT6z169Ni7qoBupbk1IXb7BOg+UoPKYtPCRU3are2G/NLqAPj3v/89/v3f/z1KSkrikEMO6YiagG6kfk1I/bQg5/0BdE8lY8fEhooFjaaB9upXam035JkWB8Bt27bFVVddFf/93//d0HbaaafFzJkz4/DDD++Q4oCub3drQowAAnQfpvdD19DiAHjLLbfEf/3Xf8XEiRNjyJAh8cYbb8T9998fF110UcybN68DSwS6MmtCAJLD9H7Ify0OgE8++WR88YtfjKlTpza0HX/88XHJJZfEqlWroqysrCPqA7qo+nV/W9euzXrdmhCA5HA+IOSPFgfA9evXx7Bhwxq1ffjDH45MJhN//etfBUCgwa7r/nZlTQhAcmRbC/76oz+P8huvj8LD+ua4OkieFp8DmMlkomfPno3aCgsLG64B1Mu27i8iInXkoBj4hfNi6A02gAFIimw/E+q2bIkVl1zukHjIgTYdBA+wO82t+yvq3z+OOGei8AeQIM39TKh7++1Y/4tfdm4xQOsCYHPn+zn3D3iv1KCyrO3W/QEkT3M/EyIi3lr6XOcVAkREK88B/MpXvpK1/bOf/Wyjv/fo0SNeeumltlcFdGnOggKgXsnYMbHmvgciU1eX61KAaEUA/MQnPtGRdQDdiLOgAKhX0DsVpf9vfLz+s0ebXOsz/JQcVATJ1uIAOGvWrI6sA+hmnAUFQL0jzvlEbPrNM7G9qqqhrfDwkig9+6wcVgXJ1KopoAAA0FoFvVPxwZtuMDME8oAACABAhzMzBPKDYyAAAAASQgAEAABICFNAgVapq05H1fyKSK9cFalBZdZwAAB0IQIg0GJ11elYcdm0hvP9Ni1cFBsqFkT57OuEQACALsAUUKDFquZXNDrcPSKiZv36qJpfkaOKAABoDQEQaLH0ylVZ27euWt25hQAA0CYCINBiqUFlWduLygZ2biEAALSJAAi0WMnYMVFYWtqorVe/0igZOyZHFQEA0Bo2gQFarKB3KspnXxdV8yti66rVUVQ20C6gAABdiAAItEpB71Qccc7EXJcBAEAbmAIKAACQEAIgAABAQgiAAAAACSEAAgAAJIQACAAAkBB2AQUiIqKuOh1V8ysivXJVpAaVOd4BAKAbEgCBqKtOx4rLpkXN+vUREbFp4aLYULEgymdfJwQCkJc8uIS2EQAh4eqq0/HKzXMawl+9mvXro2p+hTP/AMg7HlxC21kDCAlW/wP0b79dnvX61lWrO7kiANizqvkVzT64BHZPAIQEy/YD9L2KygZ2YjUA0DLplauytntwCXsmAEJC1VWnY+PCxc1e79WvNErGjunEigCgZVKDyrK2e3AJeyYAQgLVT/3cunJl1usHnXxSDL3BOgoA8lPJ2DFRWFraqM2DS2gZm8BAAu1u6mevfqVx3Df/RfgDIG8V9E5F+ezromp+RWxdtTqKygbaBRRaKO8DYG1tbVx77bXxxBNPxM6dO2PMmDExY8aMSKWa/g9eV1cXt9xySzz66KPx1ltvxYABA+Liiy+OcePG5aByyF/NrZ1IHTkoPjDzO36AApD3CnqnmuxU7WgI2LO8nwI6a9asWLJkScyZMyduv/32qKysjBkzZmTt+/3vfz/uv//+mDZtWvz0pz+Nf/zHf4xvfvOb8eKLL3Zy1ZDfmls7cciokX5QAtAl1S9vWH3XPbFp4aJYfdc9seKyaVFXnc51aZBX8joAbtmyJebOnRvf+ta3YsSIEXHiiSfG9OnT48knn4zNmzc36f/www/HhRdeGOPGjYvBgwfHlClT4oMf/GA8+OCDOage8ktddTrWPTIvXrlpTuysrY3Cw0saXbd2AoCuzNEQ0DJ5PQV0+fJ3zyYbMWJEQ1t5eXkUFBTE0qVLG03t3L59e+y7775RXl7e6GMcfPDBsXHjxs4pGPLUrgfmRkTsX1IS/c/9TNSsf8PaCQC6PEdDQMvkdQBcs2ZN9O3bN3r27NnQ1rNnz+jTp0+TEcD9998/nn766UZtq1evjiVLlsQFF1zQ5hpGjhzZ7LUpU6bEkUce2eaPDZ0l21PR7VVVsU/PnnHsN6fkqCoAaD+pQWWxaeGiJu2OhoDG8noKaDqdjsLCwibtRUVFkU7vfj73r371qzj33HOjT58+8aUvfamjSoQuwVNRALo7R0NAy+T1CGBxcXHU1NQ0ad++fXsUFxdnfc1bb70VV155ZfzqV7+K008/Pb773e/GAQcc0OYaFi9u/qDsysrKPQZRyAeeigLQ3TkaAlomrwNg3759Y+PGjVFbW9swDbSuri42btwY/fr1a9J/7dq1cd5558XOnTvj1ltvjTFjPPGBiHefim6oWNBoGqinogB0N9mOhgAay+sAOHz48MhkMvH888/HqaeeGhERy5Yti0wmE8OGDWvS/9vf/nb06tUr7rvvvujTp09nlwt5y1NRAAAi8jwAFhcXx4QJE2LmzJlxzTXXxNatW+Pqq6+OSZMmRVFRUWzevDlqamqiX79+8dZbb8UzzzwTM2fOjLfffjvefvvtho9TWFgYhx12WA6/Esg9T0UBAMjrABgRceWVV8a1114bkydPjoKCghg/fnxMnTo1IiJmz54dzz33XDz11FOxbt26yGQy8a1vfavJxzjllFPinnvu6ezSAQAA8kqPTCaTyXURXVX9JjCpVCoGDx6c63Ig6qrTUTW/ItIrV0VqUJlpngAACdCaXJL3I4BAy+x62PumhYtiQ8WCKJ99nRAIAEBE5Pk5gEDLZTvsvWb9+qiaX5GjigAgP9VVp2PdI/PilZvmxLpH5kVdtWO9SA4jgNBNOOwdAPbMjBmSzgggdHH1TzG3rl2X9brD3gHg/zQ3Y+aVm+cYCSQRBEDowuqfYq6+657YunJlk+sOeweAxpqbMfO33y6PFZdNEwLp9gRA6KLqqtPxys1zmjzFjIhIHTkoBn7hvBh6g+ksAPBeqUFlzV6zdp4kEAChC6of+fvbb5dnvV7Uv38ccc5E4Q8AdlEydkwUlpY2e93aebo7ARC6oGzrF97Luj8AyK6gdyrKZ18XB518UtbrfobS3QmA0AU1t34hwro/ANiTgt6pOO6b/9JkJNDPUJLAMRDQBaUGlcWmhYuatB908klx3Df/xdRPANiD+pHAqvkVsXXV6igqGxglY8f4GUq3JwBCF1QydkxsqFjQaBpor36lwh8AtEJB71Qccc7EXJcBnUoAhC7IU0sAANpCAIQuylNLAABaSwCEPFZXnY6q+RWRXrkqUoPKjPIBALBXBEDIU/Vn/dWv89u0cFFsqFgQ5bMd7g4AncXDWLobARDyVLaz/mrWr4+q+RWmfgJAJ/Awlu7IOYCQp5o762/rqtWdWwgAJNTuHsZCVyUAQp5KDSrL2l5UNrBzCwGAhPIwlu5IAIQ8VTJ2TBSWljZq69WvNErGjslRRQCQLB7G0h1ZAwh5yll/AJBbJWPHxIaKBY2mgXoYS1cnAEIec9YfAOSOh7F0RwIgAAA0Y3cPYx0RQVckAAIAQCs5IoKuyiYwAADQSo6IoKsSAAEAoJUcEUFXJQACAEArOSKCrkoABACAVsp2Xm/h4SWxs7Y2XrlpTqx7ZF7UVadzVB00r0cmk8nkuoiuqrKyMtLpdKRSqRg8eHCuywEAoBPV7wK6ddXqKCw9PDb++umoeaOq4XphaalNYegUrcklRgABAKAN6o+IOPabU2Kfnj0bhb8Im8KQnwRAAADYSzaFoasQAAEAYC/ZFIauQgAEAIC9lG1TmF79SqNk7JgcVQTZFeS6AAAA6OoKeqeifPZ1DZvCFJUNjJKxY2wAQ94RAAEAoB3UbwoD+cwUUAAAgIQwAggAAB2s/szA9MpVkRpUZnooOSMAAgBAB6qrTseKy6ZFzfr1ERGxaeGi2FCxwCHx5IQpoAAA0IGq5lc0hL96DoknVwRAAADoQA6JJ58IgAAA0IEcEk8+sQYQ9oIF3QDAnpSMHRMbKhY0mgbqkHhyRQCENrKgGwBoid0dEu9hMp1NAIQ22t2CbofAAgDvle2QeA+TyQVrAKGNLOgGAPaG3UHJBQEQ2siCbgBgb3iYTC4IgNBGJWPHRGFpaaM2C7oBgJbyMJlcsAYQ2mh3C7oBAPbE7qDkggAIeyHbgm4AgJbwMJlcEAABACBHPEyms1kDCAAAkBBGAAEAIE85KJ72JgACAEAeclA8HcEUUAAAyEMOiqcjGAGE9zDNAgDIFw6KpyMIgPC/TLMAAPJJalBZbFq4qEm7g+LZG6aAwv8yzQIAyCclY8dEYWlpozYHxbO3jABCvDv6tzHLE7YI0ywAgNxwUDwdQQAk8Xad+rkr0ywAgFzZ3UHx9i6gLQRAEi/b1M96plkAAPmorjodKy69PGreqIqI/927YH5FlN94gxDIblkDSGLVVadj3SPzouqxJ7JeTx05KIbeYAMYACD/rP/FLxvCX72aN6pi/S9+maOK6CqMAJJIe5r2GRFxyKiRwh8AkJc2P7s0a/tbS5+LAZM+3cnV0JUYASSRdjftM8LUTwAg3/XIdQF0UUYASaTmDlbdv2/fKDnzHy2iBgDy2sEfPiW2rlzZpL3P8FNyUA1diRFAEik1qCxre8mZ/xhHnDNR+AMA8lrp2WfF/iUljdoKDy+J0rPPylFFdBVGAEmkkrFjYkPFgkbTQE37BAC6ioLeqfjgTTc4I5BWEwBJJAerAgBd3e7OCITmCIAklm+aAAAkjTWAAAAACSEAAgAAJIQACAAAkBACIAAAQELYBIZuo646HVXzKyK9clWkBpXZ1RMAAHYhANIt1FWnY8Vl0xrO9du0cFFsqFgQ5bOvEwIBAHbhwXlyCYB0C1XzKxod6h4RUbN+fVTNr3DUAwDAe3hwnmzWANItpFeuytq+ddXqzi0EACDP7e7BOd2fAEi3kBpUlrW9qGxg5xYCAJDnPDhPNgGQbqFk7JgoLC1t1NarX2mUjB2To4oAAPKTB+fJZg0g3UJB71SUz74uquZXxNZVq6OobKDFzAAAWZSMHRMbKhY0mgbqwXlyCIB0GwW9UzZ8AQDYAw/Ok00ABACAhPHgPLmsAQQAAEgIARAAACAhBEAAAICEEAABAAASQgAEAABICAEQAAAgIQRAAACAhBAAAQAAEqJLBMDa2tq46qqrYvjw4TFs2LC44oorIp1O7/F1EyZMiCeeeKITKgQAAMh/XSIAzpo1K5YsWRJz5syJ22+/PSorK2PGjBnN9t+6dWv8+Mc/jldeeaUTqwQAAMhvBbkuYE+2bNkSc+fOjdtuuy1GjBgRERHTp0+P888/PzZv3hwHH3xwo/7//d//HZdffnns3LkzF+UCAADkrbwfAVy+fHlEREP4i4goLy+PgoKCWLp0aZP+o0aNikceeSTmzZvXWSXSBnXV6Vj3yLx45aY5se6ReVFXvecpvQAAwN7J+xHANWvWRN++faNnz54NbT179ow+ffrE5s2bm/Q/6KCD4qCDDmq3zz9y5Mhmr02ZMiWOPPLIdvtcSVFXnY4Vl02LmvXrIyJi08JFsaFiQZTPvi4KeqdyXB0AAHRfeT8CmE6no7CwsEl7UVFRizaCIf9Uza9oCH/1atavj6r5FTmqCAAAkiHvRwCLi4ujpqamSfv27dujuLi4wz//4sWLm71WWVkphLZBeuWqrO1bV63u3EIAACBh8n4EsG/fvrFx48aora1taKurq4uNGzdGv379clgZbZUaVJa1vahsYOcWAgAACZP3AXD48OGRyWTi+eefb2hbtmxZZDKZGDZsWA4ro61Kxo6JwtLSRm29+pVGydgxOaoIAACSoUtMAZ0wYULMnDkzrrnmmti6dWtcffXVMWnSpCgqKorNmzdHTU2N0cAupKB3KspnXxdV8yti66rVUVQ2MErGjrEBDAAAdLC8D4AREVdeeWVce+21MXny5CgoKIjx48fH1KlTIyJi9uzZ8dxzz8VTTz2V4yqpV7PhzfjLf9wR29asjV4D+sdRX70wCg/r26hPQe9UHHHOxNwUCAAACdUjk8lkcl1EV1W/CUwqlYrBgwfnupy8ULPhzVh+0cWR2bGjoa3HvvvGST+4tUkIBAAA9l5rcknerwGka/nLf9zRKPxFRGR27Ii//McdOaoIAIB8UledjnWPzItXbpoT6x6ZF3XVdtXvTF1iCihdx7Y1a7O3r13XyZUAAJBv6qrTseKyaQ1nQm9auCg2VCyI8tnX2Q+ikxgBpF31GtA/e3v/Izq5EgAA8k3V/IqG8FevZv36qJpfkaOKkkcApF0d9dULo8e++zZq61FQEEd99cIcVQQAQL5Ir1yVtX3rqtWdW0iCCYC0q8LD+sZJP7g1Djr5pNi/b9846OST4qTv32IDGAAAIjWoLGt7UdnAzi0kwawBpN0VHtY3Tvj2jFyXAQBAnikZOyY2VCxoNA20V7/SKBk7JodVJYsACAAAdIqC3qkon31dVM2viK2rVkdR2cAoGTvGBjCdSACkxeqq01E1vyLSK1dFalCZ/1kBAGi1gt6pOOKcibkuI7EEQFrElr0AAND12QSGFrFlLwAAdH0CIC1iy14AAOj6BEBaxJa9AADQ9QmAtEjJ2DFRWFraqM2WvQAA0LXYBIYWsWUvAAB0fQIgLWbLXgAA6NpMAQUAAEgIARAAACAhBEAAAICEsAYQAADoFuqq01E1vyLSK1dFalCZTQuzEAABAIAur646HSsumxY169dHRMSmhYtiQ8WCKJ99nRD4HqaAJkBddTrWPTIvXrlpTqx7ZF7UVadzXRIAALSrqvkVDeGvXs369VE1vyJHFeUnI4DdnCchAAAkQXrlqqztmxYtNiX0PQTAbui9c5/r0ulmn4Q40w8AgO4iNagsNi1c1KQ9/drKSL+20kDI/xIAu5ldR/yas3XV6k6qCAAAOl7J2DGxoWLBbn8PNhAiAHYrddXpeOXmOXsMfxERRWUDO6EiAADoHAW9U1E++7qoml8RW1etjvSatbF15com/ZI+ECIAdhMtHfmLiOjVrzRKxo7phKoAAKDzFPRONYzurXtkXqzOEgCTPhAiAHYT2XY9eq+DTj4p9uvdO4rKBlr8CgBAt5dtSqiBEAGw22hu16OId9/ox33zX4Q+AAASY9cpoQZC3iUAdhPN7Xp00MknCX8AACTSe6eE8i4HwXcTJWPHRGFpaaM2I38AAMB7GQHsJgxxAwBA+3nv2drd6RB5AbAbMcQNAAB7b9cd9rvTIfKmgAIAALxHth326w+R7+oEQAAAgPdobof97nCIvCmgAAAA79HcDvtFZQO7/NpAARAAAOA9mjtE/pDTTu3yawMFQAAAgPdobof93a0N7CqbMQqAAAAAu8i2w353WBtoExgAAIAWSA0qy9peVDawcwvZCwIgAABAC5SMHROFpaWN2nr1K42SsWNyVFHrmQIKAADQAs2tDewqG8BECIAAAAAtlm1tYFdiCigAAEBCCIAAAAAJIQACAAAkhAAIAACQEAIgAABAQgiAAAAACSEAAgAAJIQACAAAkBACIAAAQEIIgAAAAAkhAAIAACSEAAgAAJAQAiAAAEBCCIAAAAAJIQACAAAkhAAIAACQEAIgAABAQgiAAAAACSEAAgAAJIQACAAAkBACIAAAQEIIgAAAAAkhAAIAACSEAAgAAJAQAiAAAEBCCIAAAAAJIQACAAAkhAAIAACQEAIgAABAQgiAAAAACSEAAgAAJIQACAAAkBACIAAAQEIIgAAAAAkhAAIAACSEAAgAAJAQAiAAAEBCCIAAAAAJIQACAAAkhAAIAACQEAIgAABAQgiAAAAACSEAAgAAJIQACAAAkBACIAAAQEIIgAAAAAkhAAIAACRE3gfA2trauOqqq2L48OExbNiwuOKKKyKdTjfb/7777ovTTz89PvjBD8YFF1wQK1eu7MRqAQAA8lfeB8BZs2bFkiVLYs6cOXH77bdHZWVlzJgxI2vfxx9/PG644YaYMmVKPPjgg3HYYYfFl7/85aipqenkqgEAAPJPXgfALVu2xNy5c+Nb3/pWjBgxIk488cSYPn16PPnkk7F58+Ym/e+88874/Oc/HxMnTozBgwfHd77znXjrrbfi17/+decXDwAAkGcKcl3A7ixfvjwiIkaMGNHQVl5eHgUFBbF06dIYN25cQ3t1dXW8+OKLcemllza0FRYWxtChQ+PZZ5+NM844o001jBw5stlrU6ZMiSOPPLJNHxcAAKCz5fUI4Jo1a6Jv377Rs2fPhraePXtGnz59mowArlu3Lnbu3Bn9+/dv1H7YYYdlHS0EAABImrweAUyn01FYWNikvaioqMlGMPV/37V/UVHRXgXAxYsXN3utsrJytxvSAAAA5JO8HgEsLi7OuoHL9u3bo7i4uEnfiIht27Y1aq+trW3SFwAAIInyOgD27ds3Nm7cGLW1tQ1tdXV1sXHjxujXr1+jvoceemhERLzxxhuN2t94440oLS3t+GIBAADyXF4HwOHDh0cmk4nnn3++oW3ZsmWRyWRi2LBhjfoedNBBMXTo0EZTNqurq2PFihW73cgFAAAgKfI6ABYXF8eECRNi5syZsWzZsnj66afjiiuuiEmTJjWs7Xv99dcb+n/uc5+Lu+++Ox577LH43e9+F1//+tejrKwsPvzhD+fwqwAAAMgPeb0JTETElVdeGddee21Mnjw5CgoKYvz48TF16tSIiJg9e3Y899xz8dRTT0VExMSJE+Ott96KWbNmxdtvvx3Dhw+PH/7wh7HPPnmdcwEAADpFj0wmk8l1EV1V/S6gqVQqBg8enOtyAACABGpNLjE0BgAAkBACIAAAQEIIgAAAAAkhAAIAACSEAAgAAJAQAiAAAEBCCIAAAAAJIQACAAAkhAAIAACQEAIgAABAQgiAAAAACSEAAgAAJIQACAAAkBACIAAAQEIIgAAAAAkhAAIAACSEAAgAAJAQAiAAAEBCCIAAAAAJIQACAAAkhAAIAACQEAIgAABAQgiAAAAACSEAAgAAJIQACAAAkBACIAAAQEIIgAAAAAkhAAIAACSEAAgAAJAQAiAAAEBCCIAAAAAJIQACAAAkhAAIAACQEAIgAABAQgiAAAAACSEAAgAAJIQACAAAkBACIAAAQEIIgAAAAAkhAAIAACSEAAgAAJAQAiAAAEBCCIAAAAAJIQACAAAkhAAIAACQEAIgAABAQgiAAAAACSEAAgAAJIQACAAAkBACIAAAQEIIgAAAAAkhAAIAACSEAAgAAJAQAiAAAEBCCIAAAAAJIQACAAAkhAAIAACQEAIgAABAQgiAAAAACSEAAgAAJIQACAAAkBACIAAAQEIIgAAAAAkhAAIAACSEAAgAAJAQAiAAAEBCCIAAAAAJIQACAAAkhAAIAACQEAIgAABAQgiAAAAACSEAAgAAJIQACAAAkBACIAAAQEIIgAAAAAkhAAIAACSEAAgAAJAQAiAAAEBCCIAAAAAJIQACAAAkhAAIAACQEAIgAABAQgiAAAAACSEAAgAAJIQACAAAkBACIAAAQEIIgAAAAAkhAAIAACRE3gfAZ599NiZOnBhDhw6N8ePHx69//esWva6ioiLOPvvsji0OAACgC8nrALhu3bq46KKLYtSoUfHTn/40PvnJT8bFF18clZWVu33dn/70p7jllls6qUoAAICuIa8D4P333x9HH310XHLJJXHsscfGBRdcECeddFI8/PDDzb7mjDPOiPHjx8crr7zSiZUCAADkv4JcF7A7S5cujdGjRzdqO+WUU+Kxxx5r9jW33nprvPPOO/HAAw/E8uXL97qGkSNHNntt5syZUVxcHNu2bdvjqCQAAEBH2LZtW0REbN++fY998zoArl27Nvr379+o7bDDDovNmzc3+5qjjz46IiIOPfTQDq0tIqJnz54REbFz585Ip9Md/vkAAACas3Pnzj32yesAmE6nY//992/UlkqlOjVsLV68uNlrL774YtTW1sY+++zTpM6W+sMf/hAREUOGDGnT62kb9z133Pvcce9zw33PHfc+d9z73HDfcyfX93779u2xc+fOhgGq3clpAHz77bfjzTffbPb6AQccEDU1NY3atm/fHsXFxR1dWouccMIJe/0xvvKVr0TE7oMm7c99zx33Pnfc+9xw33PHvc8d9z433Pfc6Ur3PqcBsKKiIqZPn97s9f79+8f69esbtb3xxhtRWlra0aUBAAB0OzkNgOecc06cc845zV6fPXt2/OY3v4mLL764oe03v/lNnHbaaZ1RHgAAQLeS18dAfOpTn4oXX3wxbr311njppZfie9/7Xrz00ksxadKkiIioq6uL1atXR3V1dY4rBQAAyH95HQDLysritttuiyeffDImTZoUzz//fNxxxx1x+OGHR0REVVVVjB07NubPn5/jSgEAAPJfXu8CGhExatSoGDVqVNZrRxxxRLMHvn/961+Pr3/96x1ZGgAAQJfSI5PJZHJdBAAAAB0vr6eAAgAA0H4EQAAAgIQQAAEAABJCAAQAAEgIARAAACAhBEAAAICEEAABAAASQgAEAABICAEQAAAgIQRAAACAhBAAAQAAEkIABAAASAgBEAAAICEEwBzZvn17jBs3Lq655prd9qusrIxzzz03ysvLY+zYsfHII490UoXdy3/+53/G6aefHuXl5TFhwoR47LHHcl1SYrT23r/++uvxla98JU488cT46Ec/GnfccUcnVdr9/PznP4+zzjorPvCBD8SoUaNizpw5sXPnzlyXlQitvffe9+3ru9/97h5/vtIxWnrv/X7Tfp599tmYOHFiDB06NMaPHx+//vWvc11St1RbWxtXXXVVDB8+PIYNGxZXXHFFpNPpZvvfd999cfrpp8cHP/jBuOCCC2LlypWdWO3uCYA5MmfOnPjLX/6y2z7V1dXx5S9/OcrKyuKhhx6Kr33ta3HVVVfF008/3UlVdg+PP/543HjjjfHVr341Hn744fjYxz4W3/zmN2P58uXNvmbKlCkxZMiQRn+mT5/eiVV3D6299zt37ozJkyfHPvvsE/fee29ceeWV8aMf/Sjuv//+Tq6863vmmWdi6tSpMX78+PjZz34Wl1xySdx9991x9913N/sa7/v20dp7733ffnbs2BELFy5scZj41Kc+1eQ9f+utt3Zwld1Ta+6932/az7p16+Kiiy6KUaNGxU9/+tP45Cc/GRdffHFUVlY2+xrf69tm1qxZsWTJkpgzZ07cfvvtUVlZGTNmzMja9/HHH48bbrghpkyZEg8++GAcdthh8eUvfzlqamo6uersCnJdQBItX748/vu//zuOOeaY3fb7+c9/Hvvuu29cc801sd9++8XgwYNj6dKlcf/998fo0aM7qdqu79FHH42zzjorJk2aFBERxx13XPzP//xPPPXUU3HSSSdlfc2rr74aV111VZx44okNbQcccECn1NudtPbeL1q0KFavXh333HNPHHTQQXHCCSfEeeedF/fff3989rOf7ezyu7Sf/vSnMXLkyJg8eXJEvHvvV65cGQ888EBccMEFWV/jfd8+Wnvvve/bx+uvvx5nnHFG1NbWtqh/JpOJV199Nb7//e9HaWlpQ/v73ve+jiqx22rtvff7Tfu5//774+ijj45LLrkkIiKOPfbYeOqpp+Lhhx+Ob3/721lf43t9623ZsiXmzp0bt912W4wYMSIiIqZPnx7nn39+bN68OQ4++OBG/e+88874/Oc/HxMnToyIiO985zvx4Q9/OH7961/HGWec0dnlN2EEsJNt27Ytpk+fHjNmzNjjD5mlS5fGiBEjYr/99mtoGz58eDz77LMdXWa30rt37xg+fHijtoKCgmafwuzYsSPWrFkTo0aNiqOOOqrhT9++fTuj3G6ltff+2WefjaFDh8ZBBx3U0DZ8+PB49dVXY/PmzR1ZareTTqdj2LBhjdr69OkTb775Ztb+3vftp7X33vu+fRx66KHx8MMPx7x58+KEE07YY/+qqqrYuXNnnHrqqY3e83369OmEaruX1t57v9+0n6VLl8aoUaMatZ1yyinN3kvf69umfuZSffiLiCgvL4+CgoJYunRpo77V1dXx4osvNvp3KSwsjKFDh+bNe9wIYCe76aab4rjjjoszzzxzj9N71q5dGx/72McatR122GFRU1MT1dXV0bt3744stdu4+eabG/57586d8cQTT0RlZWXD07JdrVu3LiIivve978Vvf/vbKCoqinHjxsXXvva16NmzZ6fU3F209t6vXbs2+vfv36jtsMMOi4iITZs2NXnCRvN++MMfNvp7TU1NPProo3H88cdn7e99335ae++979tHz5494/3vf39ERKRSqT32X7lyZRxwwAExefLk+OMf/xh9+vSJT33qU3H++efHPvt4Pt4arb33fr9pP819/2ju4ZHv9W2zZs2a6Nu3b6N71LNnz+jTp0+Te71u3brYuXNnq/5dOpsA2ImWLl0ajz32WPziF79oUf90Oh37779/o7aioqKGa75Bts6CBQvi61//euzYsSNGjx4dJ598ctZ+r732WuzYsSOOOeaYmDx5crzyyitx/fXXx4YNG2LWrFmdXHX30NJ7n06n45BDDmnU9t73PG3zpz/9KaZNmxYrV65sdh2a933HaMm9977Pjddeey22bNkSH/3oR+Nf//Vf43e/+13ceOONUV1dHRdffHGuy+vW/H7TfrLdy1Qq1ez3Dt/r2yadTkdhYWGT9qKioib3uv7vu/YvKioSALujt99+u9kpPjt37ozp06fHt771rRZPLznggAOaTJXbvn17REQceOCBe1dsN7K7+x4RceSRR0aPHj3iwx/+cPzsZz+Ll19+Oa6//vpmdyo75ZRT4umnn26YDvH+978/CgoK4tJLL40ZM2b4wfQe7X3vvedbriX3fseOHXHLLbfEnXfeGQMGDIh77703hgwZkrW/933Ltfe9975vmZZ+v2mpCRMmxLhx4xp+Jh9//PFRXV0dP/7xjwXAXbT3vfeeb7k93fvm7mVxcXHW/r7Xt01xcXHW5SvZ7nX937dt29aovba2ttl/l84mALajioqKPe6iNHXq1Jg6dWpERLzzzjvx29/+NubOnRtLlixpsgC3b9++sX79+kZtb7zxRvTp0yfrU4ik2tN9v+GGG2LUqFHRp0+feP/73x/vf//7Y9OmTXHXXXdlDSGpVKrJFJbBgwdHJpOJN9980zfH92jve9+3b9/405/+1KjtjTfeiH333bdhShzv2tO9/+1vfxtf+9rX4oUXXohvfOMbccEFF+x2eo/3fcu19733vm+ZPd335cuXt2j6Yb1sv4gNHjw4/v73v8f27dubjKokWXvfe7/ftNye7n3//v2z3sv3bmz0Xr7Xt03fvn1j48aNUVtb2/D9vK6uLjZu3Bj9+vVr1PfQQw+NiHf/HY444oiG9jfeeKPZpQCdTQBsR+ecc06cc845Wa/V1tbG2rVrG7VNnTo1ysrK4qKLLsr6jXPUqFFxxx13xI4dO2LfffeNiIjf/OY3cdppp7V/8V3Y7u57XV1dfPCDH4xvfetbDTtRRrz779Hcuppvf/vbsWXLlpgzZ05D2+9///vo1atXk/ncSdfe975+G+u333674YHIb37zmygvL/dDaRe7u/cRET/4wQ/i97//fdxzzz1RXl6+x4/nfd9y7X3vve9bZk/3vbW+8pWvxDHHHNPwUDbi3ff8gAEDhL9dtPe99/tNy+3p3s+ePTt+85vfNBq13t299L2+bYYPHx6ZTCaef/75OPXUUyMiYtmyZZHJZJps+nXQQQfF0KFDY/HixQ3XqqurY8WKFfFP//RPnV57NlY5d5KePXs22m3pqKOOil69ekVxcXEcddRRsc8++0RNTU2sXr26YYh53LhxsW3btvjOd74TL7/8cvzHf/xH/PKXv4wvfOELOf5quo6CgoIYP3583HrrrfH444/HK6+8EnPnzo0777wzPvOZz0TEu0Fl9erVUV1dHRERo0ePjvnz58ett94aL730Uvzyl7+M2bNnxwUXXNBoxzJ2ry33/rTTTouSkpKYNm1avPTSS/HQQw/Fj370o/jSl76Uyy+lS3rsscdi/PjxcdBBB8Xq1asb/Ynwvu9Irb333vedY9efsaNHj4777rsv7r333nj55ZfjoYceijvvvDMuvPDCHFfa/fj9puN86lOfihdffLHhe/f3vve9eOmllxoevPpe3z6Ki4tjwoQJMXPmzFi2bFk8/fTTccUVV8SkSZMa1va9/vrrDf0/97nPxd133x2PPfZY/O53v4uvf/3rUVZWFh/+8Idz+FW8R4ac+fznP5/5zne+0/D3Z599NnPsscdmnn322Ya2P/zhD5n/7//7/zIf+MAHMmeccUamoqIiF6V2ael0OjNz5szMRz/60Ux5eXnm7LPPzjz44IOZnTt3ZjKZTGbt2rWZY489NvOzn/2s4TXz5s3LnHXWWZkPfOADmdGjR2duvvnmzDvvvJOrL6HLasu9X7NmTeYLX/hCZsiQIZnTTz8989BDD+Wq/C6tvLw8c+yxx2b9k8l433ekttx77/v2tevP10wm+8/Yn/zkJ5mPf/zjmRNOOCEzZsyYzE9+8pNOrrT7aem99/tN+1m4cGHm7LPPzgwZMiTziU98IrNs2bKGa77Xt5+tW7dmZsyYkTnppJMyp5xySmbmzJmZ2traTCaTyUydOjVz+umnN+p/5513ZkaOHJkpLy/P/NM//VOmqqoqF2Vn1SOTyWRyHUIBAADoeKaAAgAAJIQACAAAkBACIAAAQEIIgAAAAAkhAAIAACSEAAgAAJAQAiAAAEBCCIAAAAAJIQACQBssXbo0jjvuuFiyZEmuS2nwzDPPxJlnnhknnHBCvP7661n7nHfeeXHuuec2aX/rrbdi/Pjx8YEPfCAef/zxji4VgBwpyHUBAED7+PGPfxxvvfVWzJkzJw4++OAWv+6tt96KL3zhC7Fy5cqYM2dOfPzjH+/AKgHIJQEQALqJmpqaGDhwYIwZM6bFr3nrrbfiggsuiNWrV8dtt90Wo0eP7sAKAcg1U0ABSJQvfelLMWzYsHjnnXcatU+fPj0+9KEPxfbt2yMioqKiIj71qU/FiSeeGMOHD48vfvGL8fzzzzf7cadNmxYf+chHGrWtW7cujjvuuJg7d25D27Zt2+K6666Lj3zkIzF06ND49Kc/HU899dQe6161alVcfPHF8aEPfSjKy8vj85//fCxdurTh+nHHHRfPPfdcrFixIo477rhYt27dHj9mffhbs2ZN/Md//IfwB5AAAiAAiTJ+/PjYsmVLPPfccw1t77zzTixYsCDOOOOM2H///eOFF16Ib3zjGzFgwICYNWtWTJs2Lf7617/Gl7/85fjb3/7W5s+9Y8eO+OpXvxqPPvpofOlLX4obb7wxBgwYEBdddFE89thjzb5u/fr18ZnPfCb+8pe/xCWXXBLXXXdd9O7dOy644IJ4+umnIyLijjvuiGOPPTaOOeaYuOOOO+KQQw7ZbS1//etf44ILLojXXnst7rjjjhgxYkSbvy4Aug5TQAFIlDFjxsTVV18dFRUVcdppp0XEu5un/P3vf4//9//+X0RE/OlPf4qTTjopbrzxxujRo0dERJSUlMQFF1wQr7zySgwfPrxNn/vxxx+PpUuXxoMPPhgnnnhiRESMHTs2/vrXv8acOXNi3LhxWV932223xfbt2+Pee+9tWNt3xhlnxKc+9am48cYbY/To0fGRj3wk7rjjjqirq2syErmrt99+u+FriYjYtGlTm74eALoeI4AAJErv3r3jH/7hH+JXv/pVZDKZiIh48skno1+/fvGhD30oIiI+/elPx3333RfV1dXxxz/+MZ588sl44IEHIuLdUby2evrpp+Owww6LY489NtLpdMOfj3zkI7F69erYvHlz1tctXrw4Ro8e3Whjlx49esTHP/7x+NOf/hTV1dWtquPVV1+Nqqqq+NGPfhSHHnpoXHXVVfHGG2+0+esCoOswAghA4kyYMCEee+yxeOGFF2LIkCHxq1/9Ks4999yG0b61a9fGlVdeGUuXLo0+ffrEwIED4/DDD2/156kPmPU2bdoUGzZsiJNOOilr/7/+9a9Zd+/ctGlTlJaWNmnv3bt3RESk0+mG/26JAw88MO66664YPHhwzJo1Ky688MK4/PLL46677op99vFsGKA7EwABSJyRI0fG+973vqioqIh0Oh1/+9vfGqZ/RkRMnTo1Nm/eHE8++WQMGDAgIiKWLFkSv/jFL5r9mPXh8b12XS94wAEHNKwrzCZbyIt4N+i99dZbTdpff/312G+//eJ973tfs3Vlc9RRR8XgwYMjImLUqFHx2c9+Nu67776444474qtf/WqrPhYAXYvHfAAkzn777Rdnnnlm/OpXv4onn3wyhg4dGoMGDWq4/vLLL8eoUaMawl9E7PHA96Kiokin041G/ZYtW9aozymnnBIbNmyIAQMGxIc+9KGGP8uXL4/bbrstCgsLs37sk08+OX796183mur5zjvvxJNPPhnDhw+Pnj17turr39Xll18egwYNiltuuSX+8Ic/7NXHAiC/CYAAJNL48eNj9erV8fOf/zwmTpzY6NqQIUPiv/7rv+LBBx+Mxx9/PC6//PJ48sknI+LdDWOyjcadfPLJUV1dHT/4wQ9iw4YN8T//8z9x1113NerzyU9+Mo444oj40pe+FHPnzo3HH388vvWtb8XNN98cH/3oR5udfnnxxRfH1q1b47zzzou5c+fGE088EV/72tdi48aNMWXKlL2+F4WFhTF79uzIZDJx6aWXxtatW/f6YwKQnwRAABLppJNOiv79+8fOnTvjzDPPbHRt1qxZMWTIkLj++uvje9/7XvTp0yceeeSROO200+Kuu+6KtWvXNvl4Z555ZkyePDnuvffeGDt2bNx+++1x3XXXNerTq1evuPfee+MDH/hAzJ49O6ZOnRq///3v47vf/W584QtfaLbW448/Pu66667o3bt3fPe7343p06dHTU1N/OQnP4mhQ4e2y/0YMmRIfO1rX4tVq1bFtdde2y4fE4D80yOz6wp1AAAAuiUjgAAAAAkhAAIAACSEAAgAAJAQAiAAAEBCCIAAAAAJIQACAAAkhAAIAACQEAIgAABAQgiAAAAACSEAAgAAJIQACAAAkBD/P/MhTKB6ETbzAAAAAElFTkSuQmCC",
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c+8lPfjLGjBnTYmzChAlx+eWXx8c+9rFuqxmAnqW9mbydha8B48dFzcOtl4H2OeigeGfDhlbLPN+rV15epJuadlpbQdmQdo/t7swlAD1X1gfA4uLimDRpUsyaNSuuueaa2LRpU1x99dVx1llnRUFBQaxfvz7q6+tj4MCBsd9++8V+++3X6jlKSkpi0KBBGagegGzVkXv6CoeWxbonnmw1vqPwFRGRV1QYH/zu9VH9u9/HhsXPREREv4oTWnYBXb0m+g4e1NwFdNOKlVFQNiQOPOnEeP2//xCv/ua3sbWdPW37DiyNAePHtfv125u5rP7d76N3nz5R9/LfY0tDQ/TeZ5/YV1MZgETolU6n05kuYmc2b94c1157bTz44IORl5cXEydOjKlTp8bee+8d06ZNi2eeeSYee+yxNh971FFHxf/9v/83TjnllE6va9s9gIWFhTFs2LBOf34Ausb2M2MREfmlpe3OjLV1ft+BpTHi+q6fSdu2jcSGxc9EesuW2Pt974u8wsIoOvywnQa2l747r83gulffvrFl8+ZW4zu6BgBkr47kkpwIgNlKAATITWvunx8rb7uj1fiQ885pt6HKthnDbTN0uTBb1t73uSP7H39c5BUW2nsQIId0JJdk/RJQANgdO1riuTv39OUVFeZct80B48fF2spHW8xctjf7t822/QjdLwjQMwmAAPQ4O2t+srv39OWavKLCKJ87p8XM5dbGxlj9y3t26fG2mQDoeQRAAHqE9874NaVS7W7bMOiMyW3OjO2soUqu2n7msqkuFbWPP9nq+rRnZ51OAcgtAiAAOa+tJi1t2RZm2poZS8r9bu/93uv+/o/YUl8fe+Xnx5b6+ubln+/V02ZFAZJOAAQg57W13UFb3htmcvGevs7S1vfeXqfTnjgrCpBkAiAAOa+9pi7vJczs2O7MinZkL0UAsoMACEDOa6+py/7HHxd7FxUlaonnnujIrOjOGu0AkJ0EQAByXntNXY76xr8KI12krWW39dXV8dL35tlHECCLCYAA5LwkN3XJlPaW3dpHECC7CYAAZJ36ta/H33/446h7+e/Ru0+fKPnYR2LQGZ/cYZBIclOXTGhv2e172UcQIPv0znQBAPBe9Wtfj6UXXRxv/XlZbEml4p033ohXf/2beO7fLo2mulSmy+N/DRg/LvJLS3d6nn0EAbKLAAhAVvnHT26J9JYtrcYbX389ahZUZqAi2rJt2e2Q886Jg8aeHPsff1yb59lHECC7WAIKQFbZvGp1u8fMJmWX9y67tY8gQG4QAAHIKn0PGRwNtbVtHjOblL004gHIDQIgAFnlsK9cEEsvurjVMtB9+peYTcpyGvEAZD/3AAKQVfL7l8RxP7ox9vtgeexVVBh793tfDPzUJ+OD37vBbBIA7CEzgABknfz+JXHMt76Z6TIAoMcxAwgAAJAQAiAAAEBCWAIKQJdpqktFzYLKSC1fEYVDy3SFBIAMEwAB6BLb7wu37oknY23lo1E+d44QCAAZYgkoAF2iZkFli03BIyLqq6ujZkFlhioCAMwAAtBp3rvkc9PqNW2es2nFym6uilxnKTFA5xEAAegU9Wtfj2WXTo2mjRt3eF5B2ZBuqoiewFJigM5lCSgAe6ypLrVL4a/vwNIYMH5cN1VFT9DeUuKXvjcvmupSGaoKIHeZAQRgj9UsqGw3/BUeOjQKBg+OgrIhlu7RYanlK9ocf/NPS2PZZdPMBAJ0kBlAAPZYex/SIyIOHDM6jvzGlBh0xmQf1OmwwqFl7R7TVAig4wRAAPZYex/S84qLLflkjwwYPy7yS0vbPa6pEEDHCIAA7LG2PqTnFRdH+Q3XmfVjj+QVFUb53Dmx//HHtXk8v/TgWHP//Hjpu/Nizf3z3RcIsBO90ul0OtNF5KqqqqpIpVJRWFgYw4YNy3Q5ABm1rVX/phUr3e9Hp9u+G2hERP7BAyIiov61muax3vvsE8Ov+04U7WDpKEBP05FcIgDuAQEQALrP9r9k2NrYGKt/eU/rE3v1iuN/8sPI71/S/UUCZEBHcokloABATsgrKoxBZ0xubiq0+dXqtk9Mp+P5b33bclCANgiAALSrqS4Vq+6+N57710vjuX+9JFbdfa8P1WSNHXYIffXVWHbZNK9XgO0IgAC0qakuFX++5PJY/ct7YtPy5bFp+YpY/ct7Ytmll/tQTVYYMH5c9N5nn3aP2yYCoDUBEIA21SyojIaamlbj9a/V+FBNVsgrKozh130nolevds+xTQRASwIgAC001aVizf3zo+aBh9o9x4dqskXR0LJ3G74MHNjmcdtEALSUl+kCAMgebbXab0tB2ZBuqgh2Lr9/SZRfP7vNbSJq//B48zYR6554MtZWPhrlc+fYogRILAEQgGY1Cyp3Gv7yDz44Bowf100Vwa7ZtmH8zraJ2HZf4KAzJmemUIAMEwABaJZavqLN8b2KCiO/pCT6VZwQpaefZvaErLRtm4htXvruvDbPs4QZSDIBEIBmhUPLYt0TT7YaH/SpM8yYkHPaez1bwgwkmSYwADQbMH5c5JeWthjrO7DUkk9yktczQGtmAAFo1tZ9VAPGj7Pkk5zk9QzQmgAIQAvb30cFuczrGaAlS0ABAAASQgAEAABICAEQAAAgIQRAAACAhNAEBgDgfzXVpaJmQWWklq+IwqFluoYCPY4ACAAQ74a/ZZdNi/rq6oiIWPfEk7G28tEonztHCAR6DEtAAQAiomZBZXP426a+ujpqFlRmqCKAzmcGEKAHsowNOi61fEWb45tWrOzeQgC6kAAI0MPULV8Rf506I7Y2NESEZWywqwqHlsW6J55sNV5QNiQD1QB0DUtAAXqQ+rWvx7J/u7Q5/DWPW8YGOzVg/LjILy1tMdZ3YGkMGD8uQxUBdD4zgAA9yD9+cktEOt3mMcvYYMfyigqjfO6cqFlQGZtWrIyCsiGWTwM9jgAI0INsXrW63WOWscHO5RUVxqAzJme6DIAuYwkoQA/S95DBbY733mcfy9gAADOAALmuRcfPsiHx1p+XRXrLlv93Qu/eMfy671jGBp1El10glwmAADls+42rIyL6lJRE39KDo776teg7eFAc9pULIr9/SQarhJ7DZvFArhMAAXJYWxtXN77+ehx86j/FoG99M0NVQc+1o83i3TsI5AL3AALkMBtXQ/fybw7IdQIgQA4rHFrW5riOn9A1/JsDcp0ACJDDbFwN3cu/OSDXuQcQIIfZuBq6l39zQK4TAAFynI2roXv5NwfkMktAAQAAEkIABAAASAgBEAAAICEEQAAAgIQQAAEAABJCF1AAgC7SVJeKmgWVkVq+IgqHltkyAsg4ARAAoAs01aVi2WXTor66OiIi1j3xZKytfDTK584RAoGMsQQUIEs01aVizf3z46Xvzos198+PprpUpksC9kDNgsrm8LdNfXV11CyozFBFAGYAAbKCmQLoeVLLV7Q5vmnFyu4tBOA9zAACZAEzBdDzFA4ta3O8oGxI9xYC8B4CIEAWMFMAPc+A8eMiv7S0xVjfgaUxYPy4DFUEYAkoQFYoHFoW6554stW4mQLIXXlFhVE+d07ULKiMTStWRkHZEF1AgYwTAAGywIDx42Jt5aMtloGaKYDcl1dUGIPOmJzpMgCaCYAAWcBMASSPPQKBTBAAAbKEmQJIDp1/gUzRBAYAoJvp/AtkigAIANDNdP4FMkUABADoZvYIBDJFAAQA6Gb2CAQyRRMYAIBu1l7n34iINffP1xkU6DICIEAX0uYdaM/2nX91BgW6gwAI0EV8mAM6YkedQW0RA3QW9wACdBFt3oGO0BkU6A4CIEAX8WEO6AidQYHukPUBsLGxMa666qqoqKiIkSNHxowZMyKVSrV57ubNm+Ob3/xmVFRUxIc+9KE477zz4oUXXujmigHe5cMc0BE6gwLdIesD4OzZs2PRokUxb968uPnmm6OqqipmzpzZ5rnXX399PP7443H99dfHbbfdFgUFBXHBBRfExo0bu7lqAB/mgI7Z1hl0yHnnxEFjT44h550TI653zzDQuXql0+l0potoz8aNG+PEE0+Mm266KcaOHRsREUuWLIlzzz03Fi5cGAcccEDzuVu2bImRI0fGzJkz41Of+lTz40eOHBm33HJLnHzyyZ1eX1VVVaRSqSgsLIxhw4Z1+vMDuW9bF9D3tnn3YQ4A6EwdySVZ3QV06dKlERExatSo5rHy8vLIy8uLxYsXx4QJE5rH6+rq4vDDD4+jjz66eWyvvfaKXr16RUNDQ/cVDfAe27d5B9hdtpUBOkNWB8BVq1ZFSUlJ9OnTp3msT58+0a9fv1i/fn2Lc/fbb7+49957m//e0NAQN954YxQXF8fIkSN3u4bRo0e3e2zKlClx6KGH7vZzAwDsCtvKAJ0lq+8BTKVSkZ+f32q8oKCg3UYwERHXXXddlJeXx89+9rM4//zzY//99+/CKgEAupZtZYDOktUzgMXFxVFfX99qvKGhIYqLi9t93Je//OU49dRT44knnojvf//7ccghh8Tpp5++WzUsXLiw3WPb1toCAHQl28oAnSWrZwBLSkqitrY2Ghsbm8eampqitrY2Bg4c2OLcmpqaeOSRRyKdTscBBxwQI0aMiIsvvjhOOumkePTRR7u7dACATmNbGaCzZHUArKioiHQ6Hc8++2zz2JIlSyKdTre6r2/VqlXxL//yL7F8+fIW442NjS26hQIA5BrbygCdJeuXgE6aNClmzZoV11xzTWzatCmuvvrqOOuss6KgoCDWr18f9fX1MXDgwDj22GNj6NChMWPGjJgyZUrst99+8cADD8Rzzz0XM2bMyPS3AgCw27btEWhbGWBPZfU+gBERmzdvjmuvvTYefPDByMvLi4kTJ8bUqVNj7733jmnTpsUzzzwTjz32WERErFmzJq699tp47rnnYsuWLXHUUUfF1772taioqOiS2uwDCAAAZFpHcknWB8BsJgACAACZ1pFcktX3AAIAANB5BEAAAICEyOomMAAA7LqmulTULKiM1PIVUTi0TKMYoBUBEACgB2iqS8Wyy6ZFfXV1RESse+LJWFv5aJTPnSMEAs0sAQUA6AFqFlQ2h79t6quro2ZBZYYqArKRAAgA0AOklq9oc3zTipXdWwiQ1QRAAIAeoHBoWZvjBWVDurcQIKsJgAAAPcCA8eMiv7S0xVjfgaUxYPy4DFUEZCNNYAAAeoC8osIonzsnahZUxqYVK6OgbIguoEArAiAAQA+RV1QYg86YnOkygCwmAAL8L/tnAQA9nQAIEPbPAgCSQRMYgLB/FgCQDAIgQNg/CwBIBgEQIOyfBQAkgwAIEPbPAgCSQRMYgLB/FpAsuh5DcgmAAP/L/llAEuh6DMlmCSgAQILoegzJJgACACSIrseQbAIgAECC6HoMySYAAgAkSHtdjw886cRYc//8eOm782LN/fOjqS6VoQqBrqQJDABAgrTV9fjAk06M56+epTEMJIAACACQMNt3PV5z//x2G8Pojgw9iyWgAAAJpzEMJIcACACQcBrDQHIIgAAACddeY5gB48dlqCKgq7gHEAAg4dpqDDNg/DgNYKAHEgABAGjVGAbomTq8BPSdd96JESNGxKOPPtoV9QAAANBFOhwA99577xg5cmQ89dRTXVEPAAAAXWS3loCec845MW3atNiyZUuMGTMm+vbt2+qcUaNG7XFxALuqqS4VNQsqI7V8RRQOLXPvCkAn8h4LPUevdDqd7uiDhg0b1vaT9eoV6XQ6evXqFS+++OIeF5ftqqqqIpVKRWFhYbvXBOh6TXWpWHbZtBabGOeXlkb53Dk+oADsobbeY/OKi6P8husiv39JBisDtulILtmtGcDbb799twoD6Ao1CypbfDCJiKivro6aBZUaGgDsobbeY5s2boxll06N4390o1+0QY7ZrQB4wgkndHYdALsttXxFm+ObVqzs3kIAeqD23mObNm70izbIQbu9EXxVVVVcdNFFUVFREcOHD4+Pf/zjcfXVV8drr73WmfUB7FTh0LI2xwvKhnRvIQA9UHvvsRF+0Qa5aLcCYFVVVZx99tlRVVUV//RP/xSf//zn4+ijj47f/va3MXny5Pj73//e2XUCtGvA+HGRX1raYqzvwNIYMH5chioC6DkGjB8XecXFbR7zizbIPbvVBOYrX/lKpFKpuPXWW2OfffZpHt+4cWP88z//c/Tr1y9++MMfdmqh2UgTGMge2zrUbVqxMgrKhuhQB9CJ6te+HssunRpNGzc2j/UdWBojrtdsC7JBlzeBWbJkSVxzzTUtwl9ERHFxcXzuc5+LWbNm7c7TAuyS9tqRuw8FoGvk9y+J4390o1+0QQ+wWwEwnU5HU1NTm8e2bt0a9fX1e1QUQHu2b0e+7oknY23lo7Z8AOhiftEGPcNu3QN47LHHxt133x2NjY0txtPpdPzmN7+Jo446qlOKA9jejrZ8AABgx3ZrBvDf/u3f4pxzzolTTjklTjvttDj44INjw4YN8dBDD8Urr7wSP/rRjzq7ToCIsOUDAMCe2K0AOHz48Ljjjjviu9/9bvz85z9vXg46bNiw+OEPfxhjx47t1CIBtikcWhbrnniy1bhOdAAAO7dbATDi3RD4H//xH9HY2BhvvPFGFBYWRlFRUWfWBtDKgPHjYm3loy2WgdryAQBg1+xyAHzqqafiAx/4QOy3337x1FNP7fT8UaNG7VFhAG3JKyqM8rlzdKIDANgNuxwAv/CFL8RPf/rTGD16dHzhC1+IXr16xfZbCG4b69WrV7z44oudXixAhE50AAC7a5cD4O233968qeDtt9/eZQUBAJDb2tuvFci8XQ6AJ5xwQkREvPPOO1FdXR2jRo2K/v37d1lhAADkHvu1Qnbr8D6Ae++9d8yePTuWLFnSFfUAAJDD7NcK2W23NoI/55xz4o477ojNmzd3dj0AAOQw+7VCdtutbSDeeuutWLFiRXz84x+P448/Pvr27dvieK9eveK6667rlAIBAMgd9muF7LZbAfDRRx+NwsJ313A///zzrY736tVrz6oCACAn2a8VsluHA+Bbb70V3//+92PAgAFx4IEHdkVNAADkKPu1Qnbb5QC4efPmuOqqq+K//uu/msdOOumkmDVrVhx88MFdUhwAALnHfq2QvXY5AP7gBz+I//zP/4zJkyfH8OHD47XXXou77rorLrroopg/f34XlggAAEBn2OUA+PDDD8cXvvCFmDp1avPYBz7wgbjkkktixYoVUVZW1hX1AQDQQ9ggHjJvlwNgdXV1jBw5ssXYhz/84Uin0/HGG28IgAAAtMsG8ZAddnkfwHQ6HX369Gkxlp+f33wMAADaY4N4yA67tRE8AAB0hA3iITt0KAC2t7+fff8AANiRwqFlbY7bIB66V4f2Afzyl7/c5vhnP/vZFn/v1atXvPDCC7tfFQAAPYoN4iE77HIA/OQnP9mVdQAA0IPZIB6ywy4HwNmzZ3dlHQAA9HA2iIfM0wQGAAAgIQRAAACAhBAAAQAAEkIABAAASAgBEAAAICEEQAAAgIQQAAEAABJil/cBBNgVTXWpqFlQGanlK6JwaJlNfgEAsogACHSaprpULLtsWtRXV0dExLonnoy1lY9G+dw5QiAAQBawBBToNDULKpvD3zb11dVRs6AyQxUBAPBeAiDQKZrqUlH7xJNtHtu0YmU3VwMAQFssAQX22PZLP7dXUDakmysCAKAtZgCBPdbW0s9t+g4sjQHjx3VzRQAAtEUABPZYavmKNscLDx0aI67XAAYAIFsIgMAeKxxa1ub4gWNGC38AAFlEAAT22IDx4yK/tLTFmKWfAADZRxMYYI/lFRVG+dw5UbOgMjatWBkFZUNsAA8AkIUEQKBT5BUVxqAzJme6DAAAdsASUAAAgIQQAAEAABJCAAQAAEgIARAAACAhBEAAAICEEAABAAASQgAEAABIiKwPgI2NjXHVVVdFRUVFjBw5MmbMmBGpVKrNc5uamuLf//3f4+STT45jjjkmJkyYEA888EA3Vww9Q1NdKtbcPz9e+u68WHP//Giqa/vfHQAAuSPrA+Ds2bNj0aJFMW/evLj55pujqqoqZs6c2ea5P/zhD+Ouu+6KadOmxa9+9av4p3/6p/jGN74Rzz//fDdXDbmtqS4Vyy6bFitvuyPWPfFkrLztjlh22TQhEAAgx2V1ANy4cWPcd999ccUVV8SoUaPi2GOPjenTp8fDDz8c69evb3X+vffeGxdccEFMmDAhhg0bFlOmTIkPfvCDcffdd2egeshdNQsqo766usVYfXV11CyozFBFAAB0hqwOgEuXLo2IiFGjRjWPlZeXR15eXixevLjFuQ0NDbHXXntFeXl5i/EDDjggamtru75Y6EFSy1e0Ob5pxcruLQQAgE6Vl+kCdmTVqlVRUlISffr0aR7r06dP9OvXr9UM4D777BOPP/54i7GVK1fGokWL4vzzz9/tGkaPHt3usSlTpsShhx66288N2apwaFmse+LJVuMFZUMyUA0AAJ0lq2cAU6lU5OfntxovKChotxHMNo888kicffbZ0a9fv/jiF7/YVSVCjzRg/LjILy1tMdZ3YGkMGD8uQxUBANAZsnoGsLi4OOrr61uNNzQ0RHFxcZuP2bBhQ1x55ZXxyCOPxEc/+tH49re/Hfvuu+9u17Bw4cJ2j1VVVe00iEIuyisqjPK5c6JmQWVsWrEyCsqGxIDx4yKvqDDTpQEAsAeyOgCWlJREbW1tNDY2Ni8DbWpqitra2hg4cGCr81evXh3nnHNObN26NW688cYYN85sBeyuvKLCGHTG5EyXAQBAJ8rqJaAVFRWRTqfj2WefbR5bsmRJpNPpGDlyZKvzv/nNb0bfvn1j/vz5wh8AAMB2snoGsLi4OCZNmhSzZs2Ka665JjZt2hRXX311nHXWWVFQUBDr16+P+vr6GDhwYGzYsCGeeuqpmDVrVrz99tvx9ttvNz9Pfn5+9O/fP4PfCQAAQOZldQCMiLjyyivj2muvjQsvvDDy8vJi4sSJMXXq1IiImDt3bjzzzDPx2GOPxZo1ayKdTscVV1zR6jlOOOGEuOOOO7q7dAAAslBTXSpqFlRGavmKKBxa5j53EqVXOp1OZ7qIXLWtCUxhYWEMGzYs0+UAALATTXWpWHbZtKivrm4eyy8tjfK5c4RAclZHcklW3wMIAACdqWZBZYvwFxFRX10dNQsqM1QRdC8BEACAxEgtX9Hm+KYVK7u3EMgQARAAgMQoHFrW5nhq1epYc//8aKqzxzM9mwAIAEBiDBg/LvJLS1uNb1q+PFbedkcsu2yaEEiPJgACAJAYeUWFUT53Tgw575woPHRoq+PuB6SnEwABAEiUvKLCGHTG5Og7aFCbx90PSE8mAAIAkEjt3Q9YUDakewuBbiQAAgCQSG3dD9h3YGkMGD8uQxVB18vLdAFA12iqS0XNgspILV8RhUPLYsD4cTa4BYD32HY/YM2Cyti0YmUUlA3x85IeTwCEHqipLhXLLr086l+riYiIdU88GWsXVEb5Ddf7oQYA77HtfsDt+UUqPZUloNADVf/u983hb5v612qi+ne/z1BFAJA7mupSseyyabHytjti3RNPxsrb7og/XXRx1K99PdOlwR4TAKEHWv/04jbHNyx+ppsrAYDcU7OgMuqrq1uMNW3cGMsunWqPQHKeAAg9Uq9MFwAAOSu1fEWb400bN9ojkJznHkDoId57r0Je8b5tntOv4oRurgoAck/h0LJY98STbR6zRyC5TgCEHqB+7evvLkvZuPH/DfbuHbF1a/Nf8w8eEKWnn5aB6gAgtwwYPy5e/c1vW/5c/V+pVatjzf3zNYUhZwmAkOPe7fg5tfUPqa1bY//jj4u9i4q0tQaADsgrKozyG65r8+frpuXLY+Xy5bG28tEonzvHz1ZyjnsAIcfVLKhs8zeUERF7FxXFkd+YEoPOmOwHFAB0QH7/kjj+RzfGkPPOicJDh7Y6Xl9d7X5AcpIACDmuvRvVIyIKyoZ0XyEA0MNs2yOw76BBbR6vefChWHP/fJ1BySkCIOS4wqFlbY7nFRfHgPHjurcYAOiB2vtZ2/B6bay87Y5Ydtk0IZCcIQBCjhswflzkl5a2GMsrLo7yG66z7BMAOkFbP2vfy3JQcokmMJCD3rvlQ+HQsjj66itj3R8XxaYVKzV8AYBOlldUGOVz50TNgsqoefChaHi9ttU5tocgVwiAkGOa6lKx7LJpUV9dHRER6554UicyAOhi2+4HjIhYedsdrY67755cYQko5JiaBZXN4W8bS08AoHu0tRy078BS992TM8wAQo5pr+unpScA0PXeuxzUrRfkIgEQckzh0LJY98STrcYtPQGA7vHe5aCQaywBhRxj6QkAALvLDCDkGEtPACB7bd+p289oso0ACDnI0hMAyD46dZMLLAEFAIBOoFM3uUAABACATqBTN7lAAAQAgE5QOLSszXGduskmAiAAAHQCnbrJBZrAAABAJ9Cpm1wgAAIAQCfRqZtsZwkoAABAQgiAAAAACSEAAgAAJIQACAAAkBACIAAAQELoAgoAABnQVJeKmgWVkVq+IgqHltkygm4hAAIAQDdrqkvFssumRX11dURErHviyVhb+WiUz50jBNKlLAEFAIBuVrOgsjn8bVNfXR01CyozVBFJIQACAEA3Sy1f0eb4phUru7cQEkcABACAblY4tKzN8YKyId1bCIkjAAIAQDcbMH5c5JeWthjrO7A0Bowfl6GKSApNYAAAoJvlFRVG+dw5UbOgMjatWBkFZUOau4DqDkpXEgABACAD8ooKY9AZk1uM6Q5KV7MEFAAAskR73UFf+t68aKpLZagqehIBEAAAskR73UHf/NPSWHbZNCGQPSYAAgBAlmivO2iEfQLpHAIgAABkiba6g76XfQLZUwIgAABkiW3dQfc//rg2j9snkD0lAAIAQBbJKyqMo77xr/YJpEvYBgL2gH16AICusKN9AmFPCICwm+zTAwB0pbb2CYQ9ZQko7Kb29unRnQsAgGwlAMJuam+fHt25AADIVgIg7Kb29unRnQsAgGzlHkDYTQPGj4u1lY+2WAaqOxcA0N00paMjBEDYTbpzAQCZpikdHSUAwh7QnQsAyKQdNaXzGYW2CIAAAJCj2mtKV/PgQxERVifRiiYwAACQo9prStfwem2svO2OWHbZtGiqS3VvUWQ1ARAAAHLUgPHjIr+0tN3j9ihmewIgAADkqG1N6Yacd07sU3JQm+ese3KhWUCaCYAAAJDDtjWlG3DqKW0eT72y3FJQmgmAAADQA+xoOailoGwjAAIAQA+wbTlowdChbR6vefChWHP/fDOBCScAAgBAD5FXVBgHnTy6zWM6gxIhAAIAQI+iMyg7IgACAEAPsiudQTetWNnNVZEtBEAAAOhhdtYZtKBsSDdXRLYQAAEAoIdqazlo34GlMWD8uAxVRKblZboAAACga2xbDlqzoDI2rVgZBWVDYsD4cZFXVJjp0sgQARAAAHqwbctBIcISUAAAgMQQAAEAABJCAAQAAEgI9wDSozXVpaJmQWWklq+IwqFlbnoGACDRBEB6rKa6VCy7bFrUV1dHRMS6J56MtZWPRvncOUIgAACJZAkoPVbNgsrm8LdNfXV11CyozFBFAACQWQIgPVZq+Yo2xzetWNm9hQAAQJYQAOmxCoeWtTleUDakewsBAIAsIQDSYw0YPy7yS0tbjPUdWBoDxo/LUEUAAJBZmsDQY+UVFUb53DlRs6AyNq1YGQVlQ3QBBQAg0QRAerS8osIYdMbkTJcBAABZQQAEAAB2mX2Wc5sACAAA7BL7LOe+nGgC09jYGFdddVVUVFTEyJEjY8aMGZFKpXb6uEmTJsVDDz3UDRUCAEDP194+yy99b1401e388zmZlxMBcPbs2bFo0aKYN29e3HzzzVFVVRUzZ85s9/xNmzbFz372s3jppZe6sUoAAOjZ2ttn+c0/LY1ll00TAnNA1gfAjRs3xn333RdXXHFFjBo1Ko499tiYPn16PPzww7F+/fpW5//Xf/1XHH/88XHddddloFoAAOi52ttnOeLdmcCaBZXdVwy7JesD4NKlSyMiYtSoUc1j5eXlkZeXF4sXL251/pgxY+L++++P+fPnd1eJAACQCG3ts/xem1as7MZq2B1Z3wRm1apVUVJSEn369Gke69OnT/Tr16/NGcD9998/9t9//077+qNHj2732JQpU+LQQw/ttK8FAADZbNs+yy99b168+aelrY4XlA3JQFV0RNbPAKZSqcjPz281XlBQsEuNYMhtTXWpWHP//Hjpu/Nizf3zrSsHAMiwvKLCOOob/9pqJrDvwNIYMH5chqpiV2X9DGBxcXHU19e3Gm9oaIji4uIu//oLFy5s91hVVZUQ2oW0GQYAyE7bZgJrFlTGphUro6BsiP0Ac0TWB8CSkpKora2NxsbG5mWgTU1NUVtbGwMHDsxwdXSl9toM1yyojEFnTM5MUQAARMS7IdBnstyT9UtAKyoqIp1Ox7PPPts8tmTJkkin0zFy5MgMVkZXa6/NsJuLAQBg92T9DGBxcXFMmjQpZs2aFddcc01s2rQprr766jjrrLOioKAg1q9fH/X19WYDe4imulTULKiM1PIV0dTO8lo3FwMAwO7J+gAYEXHllVfGtddeGxdeeGHk5eXFxIkTY+rUqRERMXfu3HjmmWfisccey3CV7Knt7/mLiOi1116R3rKl+e9uLgYAgN3XK51OpzNdRK7a1gSmsLAwhg0blulyct6a++fHytvuaDW+//HHxd5FRW4uBgCANnQkl+TEDCDJ0N49f3sXFcWR35jSvcUAANAl6te+Hv/4yS2xedXq6HvI4DjsKxdEfv+STJeVGFnfBIbkKBxa1ua4e/4AAHqG+rWvx9KLLo43/7Q0Gmpr480/LY2lF10c9Wtfz3RpiSEAkjUGjB9nQ1EAgB7sHz+5pUV/h4iI9JYt8Y+f3JKhipLHElCyhg1FAQB6ts2rVrc9vnpNN1eSXAIgWcWGogAAPVffQwZHQ21t6/HBgzJQTTJZAgoAAHSLw75yQfTaa68WY73y8uKwr1yQoYqSxwwgAADQLfL7l8RxP7rx3S6gq9dE38GDWnUBbapLRc2CykgtXxGFQ8vcEtTJBEAAAKDb5PcviaO/ObPNY011qVh22bSor66OiIh1TzwZaysfjfK5c4TATmIJKAAAkBVqFlQ2h79t6quro2ZBZYYq6nnMANKpTNkDALC7UstXtDm+acXK7i2kBxMA6TT1a1+PZZdOjaaNGyPClD0AAB1TOLQs1j3xZKvxgrIhGaimZ7IElE7RVJdqEf62MWUPAMCuGjB+XOSXlrYY6zuwNAaMH5ehinoeM4B0ipoFla3C3zam7AEA2BV5RYVRPndO1CyojE0rVkZB2ZDmW4qa6lJR/bvfx/qnF0dErzjgwydE6emnWWnWQQIgnaK99doRpuwBANh1eUWFMeiMyS3G3l1tdnnUv1bTPLZp+fJ4/b8fjw9+93ohsAMEQHbL9s1e+g4sbfO8vOJiU/YAAOyRmgWVLcLfNg01NVGzoLJVYKR9AiAd1tb+LPsMGBD5Bw9o8Q8zr7g4ym+4zm9kAADYIztabeZ2o44RAOmwtvZnaaipicFnfyZ69+nTar02AADsifa6g0a43aijBEB2yXuXfG5avabNc+qrX4sjvzGlmysDAKCnGzB+XKxtYxlo/sED3G7UQQIgO7X9ks/2+O0LAABdIa+oMMpvuD6qf/f72LD4mYiI6FehC+juEADZqbaWfG7P/iwAAHSlvKLCOOSsT8chZ30606XkNAGQnWrvptvCQ4dGweDB7vcDAIAcIQCyU+3ddHvgmNFa7gIAkLW237rMpIUAyC4YMH5crK18tMUyUEs+AQDIZm1tXbbm3l9F6eRJib53UABkp/KKCqN87pyoWVBpiwcAAHJCW30stmzeHKt/eU/UPv5klM+dk8jPswIguySvqNByTwAAcsaONo+vr66OmgWVifx82zvTBQAAAHS2wqFlOzy+acXK7ikkywiAAABAjzNg/LjILy1t93hS97C2BDRBdEECACAptvWxqP7d7+PV+f8ZWzdvbj6W5IaGvdLpdDrTReSqqqqqSKVSUVhYGMOGDct0OTu0fRekiIj80tLE3vwKAEBybJsI6akNDTuSS8wAJkRbXZCSfPMrAADJoaHh/+MewIRorwtSUm9+BQCAJBIAE6K9LkhJvfkVAACSSABMiLa6ICX55lcAAEgi9wD2IDvq8rmtC1JPvvkVAADYMQGwh9i+y+e6J56MtZWPtujy6eZXAADYfU11qaj+3e9j/dPPREQ6DvhwRZSeflpOTaoIgD2ELp8AANB1mupS8edLLo+GmprmsU3LV0TtHx6P8huuz5kQ6B7AHkKXTwAA6Do1CypbhL9t6l+riZoFlRmoaPcIgD2ELp8AANB12ptwicitSRcBsIfQ5RMAALpOexMuEbk16eIewB5Cl08AAOg6A8aPi5qHWy8DzT/44JyadBEAexBdPgEAoGvkFRXGB797fVT/7vexYfEzERHRr+IEXUABAAB6oryiwjjkrE/HIWd9OtOl7Db3AAIAACSEAAgAAJAQAiAAAEBCCIAAAAAJIQACAAAkhAAIAACQEAIgAABAQgiAAAAACSEAAgAAJIQACAAAkBACIAAAQEIIgAAAAAkhAAIAACSEAAgAAJAQAiAAAEBCCIAAAAAJIQACAAAkhAAIAACQEAIgAABAQgiAAAAACSEAAgAAJIQACAAAkBACIAAAQEIIgAAAAAkhAAIAACSEAAgAAJAQAiAAAEBCCIAAAAAJIQACAAAkhAAIAACQEAIgAABAQgiAAAAACSEAAgAAJIQACAAAkBACIAAAQEIIgAAAAAkhAAIAACSEAAgAAJAQAiAAAEBCCIAAAAAJIQACAAAkhAAIAACQEAIgAABAQgiAAAAACSEAAgAAJIQACAAAkBACIAAAQEJkfQBsbGyMq666KioqKmLkyJExY8aMSKVS7Z7/i1/8Ij760Y/GBz/4wTj//PNj+fLl3VgtAABA9sr6ADh79uxYtGhRzJs3L26++eaoqqqKmTNntnnugw8+GNdff31MmTIl7r777ujfv3986Utfivr6+m6uGgAAIPtkdQDcuHFj3HfffXHFFVfEqFGj4thjj43p06fHww8/HOvXr291/q233hqf//znY/LkyTFs2LD41re+FRs2bIg//OEP3V88AABAlsnLdAE7snTp0oiIGDVqVPNYeXl55OXlxeLFi2PChAnN43V1dfH888/HpZde2jyWn58fI0aMiKeffjpOOeWU3aph9OjR7R6bMmVKHHroobv1vAAAAN0tq2cAV61aFSUlJdGnT5/msT59+kS/fv1azQCuWbMmtm7dGoMHD24x3r9//zZnCwEAAJImq2cAU6lU5OfntxovKCho1Qhm29+3P7+goGCPAuDChQvbPVZVVbXDhjQAAADZJKtnAIuLi9ts4NLQ0BDFxcWtzo2I2Lx5c4vxxsbGVucCAAAkUVYHwJKSkqitrY3GxsbmsaampqitrY2BAwe2OPeggw6KiIjXXnutxfhrr70WpaWlXV8sAABAlsvqAFhRURHpdDqeffbZ5rElS5ZEOp2OkSNHtjh3//33jxEjRrRYsllXVxfLli3bYSMXAACApMjqAFhcXByTJk2KWbNmxZIlS+Lxxx+PGTNmxFlnndV8b9+rr77afP7nPve5uP322+OBBx6I5557Lr72ta9FWVlZfPjDH87gdwEAAJAdsroJTETElVdeGddee21ceOGFkZeXFxMnToypU6dGRMTcuXPjmWeeicceeywiIiZPnhwbNmyI2bNnx9tvvx0VFRXx4x//OHr3zuqcCwAA0C16pdPpdKaLyFXbuoAWFhbGsGHDMl0OAACQQB3JJabGAAAAEkIABAAASAgBEAAAICEEQAAAgIQQAAEAABJCAAQAAEgIARAAACAhBEAAAICEEAABAAASQgAEAABICAEQAAAgIQRAAACAhBAAAQAAEkIABAAASAgBEAAAICEEQAAAgIQQAAEAABJCAAQAAEgIARAAACAhBEAAAICEEAABAAASQgAEAABICAEQAAAgIQRAAACAhBAAAQAAEkIABAAASAgBEAAAICEEQAAAgIQQAAEAABJCAAQAAEgIARAAACAhBEAAAICEEAABAAASQgAEAABICAEQAAAgIQRAAACAhBAAAQAAEkIABAAASAgBEAAAICEEQAAAgIQQAAEAABJCAAQAAEgIARAAACAhBEAAAICEEAABAAASQgAEAABICAEQAAAgIQRAAACAhBAAAQAAEkIABAAASAgBEAAAICEEQAAAgIQQAAEAABJCAAQAAEgIARAAACAhBEAAAICEEAABAAASQgAEAABICAEQAAAgIQRAAACAhBAAAQAAEkIABAAASAgBEAAAICEEQAAAgIQQAAEAABJCAAQAAEgIARAAACAhBEAAAICEEAABAAASQgAEAABICAEQAAAgIQRAAACAhBAAAQAAEkIABAAASAgBEAAAICEEQAAAgIQQAAEAABJCAAQAAEgIARAAACAhBEAAAICEEAABAAASQgAEAABICAEQAAAgIQRAAACAhBAAAQAAEkIABAAASAgBEAAAICEEQAAAgITI+gD49NNPx+TJk2PEiBExceLE+MMf/rBLj6usrIzTTz+9a4sDAADIIVkdANesWRMXXXRRjBkzJn71q1/Fpz71qbj44oujqqpqh4/729/+Fj/4wQ+6qUoAAIDckNUB8K677orDDz88LrnkkjjyyCPj/PPPj+OOOy7uvffedh9zyimnxMSJE+Oll17qxkoBAACyX16mC9iRxYsXx9ixY1uMnXDCCfHAAw+0+5gbb7wx3nnnnfjlL38ZS5cu3eMaRo8e3e6xWbNmRXFxcWzevHmns5IAAABdYfPmzRER0dDQsNNzszoArl69OgYPHtxirH///rF+/fp2H3P44YdHRMRBBx3UpbVFRPTp0yciIrZu3RqpVKrLvx4AAEB7tm7dutNzsjoAplKp2GeffVqMFRYWdmvYWrhwYbvHnn/++WhsbIzevXu3qrOr/fWvf42IiOHDh3fr100q17v7uebdzzXvfq5593PNu5fr3f1c8+6XDde8oaEhtm7d2jxBtSMZDYBvv/12vP766+0e33fffaO+vr7FWENDQxQXF3d1abvk6KOPztjX/vKXvxwROw6odB7Xu/u55t3PNe9+rnn3c827l+vd/Vzz7pdr1zyjAbCysjKmT5/e7vHBgwdHdXV1i7HXXnstSktLu7o0AACAHiejAfCMM86IM844o93jc+fOjT/+8Y9x8cUXN4/98Y9/jJNOOqk7ygMAAOhRsnobiDPPPDOef/75uPHGG+OFF16I73znO/HCCy/EWWedFRERTU1NsXLlyqirq8twpQAAANkvqwNgWVlZ3HTTTfHwww/HWWedFc8++2zccsstcfDBB0dERE1NTYwfPz4WLFiQ4UoBAACyX1Z3AY2IGDNmTIwZM6bNY4MGDWp3w/evfe1r8bWvfa0rSwMAAMgpvdLpdDrTRQAAAND1snoJKAAAAJ1HAAQAAEgIARAAACAhBEAAAICEEAABAAASQgAEAABICAEQAAAgIQRAAACAhBAAAQAAEkIABAAASAgBEAAAICEEQAAAgIQQAAEAABJCAMwxDQ0NMWHChLjmmmt2eF5VVVWcffbZUV5eHuPHj4/777+/myrsOf7jP/4jPvrRj0Z5eXlMmjQpHnjggUyX1KN19Hq/+uqr8eUvfzmOPfbY+MhHPhK33HJLN1Xac/z2t7+N0047LY455pgYM2ZMzJs3L7Zu3Zrpsnq0jl5zr/PO8+1vf3unPzvpXLt6zX1m2TNPP/10TJ48OUaMGBETJ06MP/zhD5kuqcdpbGyMq666KioqKmLkyJExY8aMSKVS7Z7/i1/8Ij760Y/GBz/4wTj//PNj+fLl3VjtzgmAOWbevHnxj3/8Y4fn1NXVxZe+9KUoKyuLe+65J7761a/GVVddFY8//ng3VZn7HnzwwbjhhhviK1/5Stx7773x8Y9/PL7xjW/E0qVL233MlClTYvjw4S3+TJ8+vRurzl0dvd5bt26NCy+8MHr37h133nlnXHnllfHTn/407rrrrm6uPHc99dRTMXXq1Jg4cWL8+te/jksuuSRuv/32uP3229t9jNf4nunoNfc67xxbtmyJJ554YpdDxZlnntnqdX7jjTd2cZU9S0euuc8se2bNmjVx0UUXxZgxY+JXv/pVfOpTn4qLL744qqqq2n2M9/KOmz17dixatCjmzZsXN998c1RVVcXMmTPbPPfBBx+M66+/PqZMmRJ333139O/fP770pS9FfX19N1fdvrxMF8CuW7p0afzXf/1XHHHEETs877e//W3stddecc0118Tee+8dw4YNi8WLF8ddd90VY8eO7aZqc9tvfvObOO200+Kss86KiIijjjoq/vu//zsee+yxOO6449p8zMsvvxxXXXVVHHvssc1j++67b7fUm+s6er2ffPLJWLlyZdxxxx2x//77x9FHHx3nnHNO3HXXXfHZz362u8vPSb/61a9i9OjRceGFF0bEu9d8+fLl8ctf/jLOP//8Nh/jNb5nOnrNvc733KuvvhqnnHJKNDY27tL56XQ6Xn755fjhD38YpaWlzePve9/7uqrEHqej19xnlj1z1113xeGHHx6XXHJJREQceeSR8dhjj8W9994b3/zmN9t8jPfyjtm4cWPcd999cdNNN8WoUaMiImL69Olx7rnnxvr16+OAAw5ocf6tt94an//852Py5MkREfGtb30rPvzhD8cf/vCHOOWUU7q7/DaZAcwRmzdvjunTp8fMmTN3+oNo8eLFMWrUqNh7772bxyoqKuLpp5/u6jJ7jKKioqioqGgxlpeX1+5vb7Zs2RKrVq2KMWPGxGGHHdb8p6SkpDvKzXkdvd5PP/10jBgxIvbff//msYqKinj55Zdj/fr1XVlqj5FKpWLkyJEtxvr16xevv/56m+d7je+5jl5zr/M9d9BBB8W9994b8+fPj6OPPnqn59fU1MTWrVvjxBNPbPE679evXzdU2zN09Jr7zLJnFi9eHGPGjGkxdsIJJ7R7/byXd9y21Ujbwl9ERHl5eeTl5cXixYtbnFtXVxfPP/98i/8n+fn5MWLEiKx6TZsBzBHf/e5346ijjopTTz11p8t/Vq9eHR//+MdbjPXv3z/q6+ujrq4uioqKurLUHuF73/te839v3bo1Hnrooaiqqmr+Ddv21qxZExER3/nOd+JPf/pTFBQUxIQJE+KrX/1q9OnTp1tqzmUdvd6rV6+OwYMHtxjr379/RESsW7eu1W/jaO3HP/5xi7/X19fHb37zm/jABz7Q5vle43uuo9fc63zP9enTJ97//vdHRERhYeFOz1++fHnsu+++ceGFF8b//M//RL9+/eLMM8+Mc889N3r39jvzXdHRa+4zy55p732ivV8SeS/vuFWrVkVJSUmL69OnT5/o169fq+u8Zs2a2Lp1a4f+n2SCAJgDFi9eHA888ED87ne/26XzU6lU7LPPPi3GCgoKmo95M911jz76aHzta1+LLVu2xNixY+P4449v87xXXnkltmzZEkcccURceOGF8dJLL8V1110Xa9eujdmzZ3dz1blrV693KpWKAw88sMXYe1/jdMzf/va3mDZtWixfvrzd+9G8xjvXrlxzr/Pu98orr8TGjRvjIx/5SPzbv/1bPPfcc3HDDTdEXV1dXHzxxZkur0fymWXPtHX9CgsL232P8F7ecalUKvLz81uNFxQUtLrO2/6+/fkFBQUCIC29/fbb7S4B2rp1a0yfPj2uuOKKXV6Csu+++7ZaOtfQ0BAREfvtt9+eFdtD7OiaR0Qceuih0atXr/jwhz8cv/71r+PFF1+M6667rt2OZieccEI8/vjjzUso3v/+90deXl5ceumlMXPmzMT/AOvs6+01vnO7cs23bNkSP/jBD+LWW2+NQw45JO68884YPnx4m+d7je9cZ19zr/Od29X3ll01adKkmDBhQvPP2w984ANRV1cXP/vZzwTA/9XZ19zrfMd2dr3bu37FxcVtnu+9vOOKi4vbvCWlreu87e+bN29uMd7Y2Nju/5NMEACzQGVl5U67L02dOjWmTp0aERHvvPNO/OlPf4r77rsvFi1a1OrG3ZKSkqiurm4x9tprr0W/fv3a/A1GEu3sml9//fUxZsyY6NevX7z//e+P97///bFu3bq47bbb2gwkhYWFrZa6DBs2LNLpdLz++uuJf0Pt7OtdUlISf/vb31qMvfbaa7HXXns1L5FLup1d8z/96U/x1a9+Nf785z/H17/+9Tj//PN3uPzHa3znOvuae53v3M6u+dKlS3dpGeI2bX1AGzZsWLz11lvR0NDQaqYliTr7mvvMsmM7u96DBw9u8/q9t4nRe3kv77iSkpKora2NxsbG5vfspqamqK2tjYEDB7Y496CDDoqId/8fDBo0qHn8tddea3e5fyYIgFngjDPOiDPOOKPNY42NjbF69eoWY1OnTo2ysrK46KKL2nyTHTNmTNxyyy2xZcuW2GuvvSIi4o9//GOcdNJJnV98jtrRNW9qaooPfvCDccUVVzR3pYx49/9Fe/fcfPOb34yNGzfGvHnzmsf+8pe/RN++fVutA0+izr7e29pdv/32282/APnjH/8Y5eXlfnj9rx1d84iIH/3oR/GXv/wl7rjjjigvL9/p83mN71xnX3Ov853b2TXvqC9/+ctxxBFHNP/CNeLd1/khhxwi/P2vzr7mPrPs2M6u99y5c+OPf/xjixnqHV0/7+UdV1FREel0Op599tk48cQTIyJiyZIlkU6nWzX22n///WPEiBGxcOHC5mN1dXWxbNmy+Od//udur7097mjOcn369GnRpemwww6Lvn37RnFxcRx22GHRu3fvqK+vj5UrVzZPT0+YMCE2b94c3/rWt+LFF1+Mn/zkJ/H73/8+zjvvvAx/N7khLy8vJk6cGDfeeGM8+OCD8dJLL8V9990Xt956a3zmM5+JiHdDy8qVK6Ouri4iIsaOHRsLFiyIG2+8MV544YX4/e9/H3Pnzo3zzz+/RWczWtud633SSSfFgAEDYtq0afHCCy/EPffcEz/96U/ji1/8Yia/lZzywAMPxMSJE2P//fePlStXtvgT4TXeFTp6zb3Ou972Pz/Hjh0bv/jFL+LOO++MF198Me6555649dZb44ILLshwpT2Hzyyd68wzz4znn3+++b35O9/5TrzwwgvNv1D1Xr7niouLY9KkSTFr1qxYsmRJPP744zFjxow466yzmu/te/XVV5vP/9znPhe33357PPDAA/Hcc8/F1772tSgrK4sPf/jDGfwutpMm53z+859Pf+tb32r++9NPP50+8sgj008//XTz2F//+tf0//f//X/pY445Jn3KKaekKysrM1FqzkqlUulZs2alP/KRj6TLy8vTp59+evruu+9Ob926NZ1Op9OrV69OH3nkkelf//rXzY+ZP39++rTTTksfc8wx6bFjx6a/973vpd95551MfQs5ZXeu96pVq9LnnXdeevjw4emPfvSj6XvuuSdT5eek8vLy9JFHHtnmn3Taa7wr7M419zrvPNv/7Eyn2/75+fOf/zz9iU98In300Uenx40bl/75z3/ezZX2HLt6zX1m2TNPPPFE+vTTT08PHz48/clPfjK9ZMmS5mPeyzvHpk2b0jNnzkwfd9xx6RNOOCE9a9asdGNjYzqdTqenTp2a/uhHP9ri/FtvvTU9evTodHl5efqf//mf0zU1NZkou1290ul0OtMhFAAAgK5nCSgAAEBCCIAAAAAJIQACAAAkhAAIAACQEAIgAABAQgiAAAAACSEAAgAAJIQACAAAkBACIADshsWLF8dRRx0VixYtynQpzZ566qk49dRT4+ijj45XX321zXPOOeecOPvss1uNb9iwISZOnBjHHHNMPPjgg11dKgAZkpfpAgCAzvGzn/0sNmzYEPPmzYsDDjhglx+3YcOGOO+882L58uUxb968+MQnPtGFVQKQSQIgAPQQ9fX1MWTIkBg3btwuP2bDhg1x/vnnx8qVK+Omm26KsWPHdmGFAGSaJaAAJMoXv/jFGDlyZLzzzjstxqdPnx4f+tCHoqGhISIiKisr48wzz4xjjz02Kioq4gtf+EI8++yz7T7vtGnT4uSTT24xtmbNmjjqqKPivvvuax7bvHlzzJkzJ04++eQYMWJEfPrTn47HHntsp3WvWLEiLr744vjQhz4U5eXl8fnPfz4WL17cfPyoo46KZ555JpYtWxZHHXVUrFmzZqfPuS38rVq1Kn7yk58IfwAJIAACkCgTJ06MjRs3xjPPPNM89s4778Sjjz4ap5xySuyzzz7x5z//Ob7+9a/HIYccErNnz45p06bFG2+8EV/60pfizTff3O2vvWXLlvjKV74Sv/nNb+KLX/xi3HDDDXHIIYfERRddFA888EC7j6uuro7PfOYz8Y9//CMuueSSmDNnThQVFcX5558fjz/+eERE3HLLLXHkkUfGEUccEbfccksceOCBO6zljTfeiPPPPz9eeeWVuOWWW2LUqFG7/X0BkDssAQUgUcaNGxdXX311VFZWxkknnRQR7zZPeeutt+L//J//ExERf/vb3+K4446LG264IXr16hUREQMGDIjzzz8/XnrppaioqNitr/3ggw/G4sWL4+67745jjz02IiLGjx8fb7zxRsybNy8mTJjQ5uNuuummaGhoiDvvvLP53r5TTjklzjzzzLjhhhti7NixcfLJJ8ctt9wSTU1NrWYit/f22283fy8REevWrdut7weA3GMGEIBEKSoqio997GPxyCOPRDqdjoiIhx9+OAYOHBgf+tCHIiLi05/+dPziF7+Iurq6+J//+Z94+OGH45e//GVEvDuLt7sef/zx6N+/fxx55JGRSqWa/5x88smxcuXKWL9+fZuPW7hwYYwdO7ZFY5devXrFJz7xifjb3/4WdXV1Harj5ZdfjpqamvjpT38aBx10UFx11VXx2muv7fb3BUDuMAMIQOJMmjQpHnjggfjzn/8cw4cPj0ceeSTOPvvs5tm+1atXx5VXXhmLFy+Ofv36xZAhQ+Lggw/u8NfZFjC3WbduXaxduzaOO+64Ns9/44032uzeuW7duigtLW01XlRUFBERqVSq+b93xX777Re33XZbDBs2LGbPnh0XXHBBXH755XHbbbdF795+NwzQkwmAACTO6NGj433ve19UVlZGKpWKN998s3n5Z0TE1KlTY/369fHwww/HIYccEhERixYtit/97nftPue28Phe298vuO+++zbfV9iWtkJexLtBb8OGDa3GX3311dh7773jfe97X7t1teWwww6LYcOGRUTEmDFj4rOf/Wz84he/iFtuuSW+8pWvdOi5AMgtfs0HQOLsvffeceqpp8YjjzwSDz/8cIwYMSKGDh3afPzFF1+MMWPGNIe/iNjphu8FBQWRSqVazPotWbKkxTknnHBCrF27Ng455JD40Ic+1Pxn6dKlcdNNN0V+fn6bz3388cfHH/7whxZLPd955514+OGHo6KiIvr06dOh7397l19+eQwdOjR+8IMfxF//+tc9ei4AspsACEAiTZw4MVauXBm//e1vY/LkyS2ODR8+PP7zP/8z7r777njwwQfj8ssvj4cffjgi3m0Y09Zs3PHHHx91dXXxox/9KNauXRv//d//HbfddluLcz71qU/FoEGD4otf/GLcd9998eCDD8YVV1wR3/ve9+IjH/lIu8svL7744ti0aVOcc845cd9998VDDz0UX/3qV6O2tjamTJmyx9ciPz8/5s6dG+l0Oi699NLYtGnTHj8nANlJAAQgkY477rgYPHhwbN26NU499dQWx2bPnh3Dhw+P6667Lr7zne9Ev3794v7774+TTjopbrvttli9enWr5zv11FPjwgsvjDvvvDPGjx8fN998c8yZM6fFOX379o0777wzjjnmmJg7d25MnTo1/vKXv8S3v/3tOO+889qt9QMf+EDcdtttUVRUFN/+9rdj+vTpUV9fHz//+c9jxIgRnXI9hg8fHl/96ldjxYoVce2113bKcwKQfXqlt79DHQAAgB7JDCAAAEBCCIAAAAAJIQACAAAkhAAIAACQEAIgAABAQgiAAAAACSEAAgAAJIQACAAAkBACIAAAQEIIgAAAAAkhAAIAACTE/w8LV5L0PtTH4AAAAABJRU5ErkJggg==",
       "text/plain": [
        "
"
       ]
@@ -355,7 +355,7 @@
   {
    "cell_type": "code",
    "execution_count": null,
-   "id": "4a2b851e",
+   "id": "61819e4d",
    "metadata": {},
    "outputs": [],
    "source": []
diff --git a/_sources/notebooks/Quadratic.ipynb.txt b/_sources/notebooks/Quadratic.ipynb.txt
index d94cac33..7b90897c 100644
--- a/_sources/notebooks/Quadratic.ipynb.txt
+++ b/_sources/notebooks/Quadratic.ipynb.txt
@@ -2,13 +2,13 @@
  "cells": [
   {
    "cell_type": "markdown",
-   "id": "4cef0c10",
+   "id": "2a6d8e69",
    "metadata": {
     "papermill": {
-     "duration": 0.00805,
-     "end_time": "2024-09-10T13:51:53.865992",
+     "duration": 0.004849,
+     "end_time": "2024-09-10T14:15:25.863917",
      "exception": false,
-     "start_time": "2024-09-10T13:51:53.857942",
+     "start_time": "2024-09-10T14:15:25.859068",
      "status": "completed"
     },
     "tags": []
@@ -20,20 +20,20 @@
   {
    "cell_type": "code",
    "execution_count": 1,
-   "id": "5f723eca",
+   "id": "569d7165",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:51:53.877448Z",
-     "iopub.status.busy": "2024-09-10T13:51:53.876910Z",
-     "iopub.status.idle": "2024-09-10T13:51:55.304972Z",
-     "shell.execute_reply": "2024-09-10T13:51:55.304387Z"
+     "iopub.execute_input": "2024-09-10T14:15:25.875815Z",
+     "iopub.status.busy": "2024-09-10T14:15:25.874630Z",
+     "iopub.status.idle": "2024-09-10T14:15:27.622979Z",
+     "shell.execute_reply": "2024-09-10T14:15:27.622446Z"
     },
     "nbsphinx": "hidden",
     "papermill": {
-     "duration": 1.435263,
-     "end_time": "2024-09-10T13:51:55.306525",
+     "duration": 1.756489,
+     "end_time": "2024-09-10T14:15:27.624630",
      "exception": false,
-     "start_time": "2024-09-10T13:51:53.871262",
+     "start_time": "2024-09-10T14:15:25.868141",
      "status": "completed"
     },
     "tags": []
@@ -60,20 +60,20 @@
   {
    "cell_type": "code",
    "execution_count": 2,
-   "id": "1271fd79",
+   "id": "393f51f7",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:51:55.310120Z",
-     "iopub.status.busy": "2024-09-10T13:51:55.309779Z",
-     "iopub.status.idle": "2024-09-10T13:51:55.318380Z",
-     "shell.execute_reply": "2024-09-10T13:51:55.317871Z"
+     "iopub.execute_input": "2024-09-10T14:15:27.629275Z",
+     "iopub.status.busy": "2024-09-10T14:15:27.628794Z",
+     "iopub.status.idle": "2024-09-10T14:15:27.631634Z",
+     "shell.execute_reply": "2024-09-10T14:15:27.631105Z"
     },
     "nbsphinx": "hidden",
     "papermill": {
-     "duration": 0.01168,
-     "end_time": "2024-09-10T13:51:55.319670",
+     "duration": 0.006942,
+     "end_time": "2024-09-10T14:15:27.633099",
      "exception": false,
-     "start_time": "2024-09-10T13:51:55.307990",
+     "start_time": "2024-09-10T14:15:27.626157",
      "status": "completed"
     },
     "tags": [
@@ -95,19 +95,19 @@
   {
    "cell_type": "code",
    "execution_count": 3,
-   "id": "a4fb8717",
+   "id": "43410049",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:51:55.322655Z",
-     "iopub.status.busy": "2024-09-10T13:51:55.322510Z",
-     "iopub.status.idle": "2024-09-10T13:51:55.324526Z",
-     "shell.execute_reply": "2024-09-10T13:51:55.324168Z"
+     "iopub.execute_input": "2024-09-10T14:15:27.636180Z",
+     "iopub.status.busy": "2024-09-10T14:15:27.635991Z",
+     "iopub.status.idle": "2024-09-10T14:15:27.642683Z",
+     "shell.execute_reply": "2024-09-10T14:15:27.642287Z"
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@@ -127,21 +127,21 @@
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@@ -170,14 +170,14 @@
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@@ -189,19 +189,19 @@
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@@ -337,13 +337,13 @@
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@@ -359,19 +359,19 @@
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@@ -404,14 +404,14 @@
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@@ -426,19 +426,19 @@
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@@ -470,13 +470,13 @@
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@@ -491,19 +491,19 @@
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@@ -556,8 +556,8 @@
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@@ -569,7 +569,7 @@
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diff --git a/_sources/notebooks/Quartic.ipynb.txt b/_sources/notebooks/Quartic.ipynb.txt
index e96bc6dc..103de21b 100644
--- a/_sources/notebooks/Quartic.ipynb.txt
+++ b/_sources/notebooks/Quartic.ipynb.txt
@@ -2,13 +2,13 @@
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@@ -20,20 +20,20 @@
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@@ -60,20 +60,20 @@
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@@ -127,21 +127,21 @@
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@@ -170,14 +170,14 @@
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@@ -189,19 +189,19 @@
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@@ -401,13 +401,13 @@
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@@ -423,19 +423,19 @@
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@@ -468,14 +468,14 @@
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@@ -490,19 +490,19 @@
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-     "iopub.status.idle": "2024-09-10T13:52:01.499196Z",
-     "shell.execute_reply": "2024-09-10T13:52:01.498807Z"
+     "iopub.execute_input": "2024-09-10T14:15:35.177957Z",
+     "iopub.status.busy": "2024-09-10T14:15:35.177781Z",
+     "iopub.status.idle": "2024-09-10T14:15:35.365621Z",
+     "shell.execute_reply": "2024-09-10T14:15:35.364231Z"
     },
     "papermill": {
-     "duration": 0.19071,
-     "end_time": "2024-09-10T13:52:01.501259",
+     "duration": 0.192576,
+     "end_time": "2024-09-10T14:15:35.367918",
      "exception": false,
-     "start_time": "2024-09-10T13:52:01.310549",
+     "start_time": "2024-09-10T14:15:35.175342",
      "status": "completed"
     },
     "tags": []
@@ -534,13 +534,13 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0f96f5d4",
+   "id": "1ef15f84",
    "metadata": {
     "papermill": {
-     "duration": 0.001905,
-     "end_time": "2024-09-10T13:52:01.505151",
+     "duration": 0.002187,
+     "end_time": "2024-09-10T14:15:35.372460",
      "exception": false,
-     "start_time": "2024-09-10T13:52:01.503246",
+     "start_time": "2024-09-10T14:15:35.370273",
      "status": "completed"
     },
     "tags": []
@@ -555,19 +555,19 @@
   {
    "cell_type": "code",
    "execution_count": 8,
-   "id": "bd0f4d05",
+   "id": "e318381c",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:52:01.509525Z",
-     "iopub.status.busy": "2024-09-10T13:52:01.509295Z",
-     "iopub.status.idle": "2024-09-10T13:52:01.645312Z",
-     "shell.execute_reply": "2024-09-10T13:52:01.644916Z"
+     "iopub.execute_input": "2024-09-10T14:15:35.377016Z",
+     "iopub.status.busy": "2024-09-10T14:15:35.376750Z",
+     "iopub.status.idle": "2024-09-10T14:15:35.501211Z",
+     "shell.execute_reply": "2024-09-10T14:15:35.500280Z"
     },
     "papermill": {
-     "duration": 0.139942,
-     "end_time": "2024-09-10T13:52:01.646790",
+     "duration": 0.129173,
+     "end_time": "2024-09-10T14:15:35.503354",
      "exception": false,
-     "start_time": "2024-09-10T13:52:01.506848",
+     "start_time": "2024-09-10T14:15:35.374181",
      "status": "completed"
     },
     "tags": []
@@ -620,8 +620,8 @@
   },
   "papermill": {
    "default_parameters": {},
-   "duration": 3.077778,
-   "end_time": "2024-09-10T13:52:02.082948",
+   "duration": 3.715,
+   "end_time": "2024-09-10T14:15:35.935478",
    "environment_variables": {},
    "exception": null,
    "input_path": "Quartic.ipynb",
@@ -633,7 +633,7 @@
     "x_scale": "linear",
     "y_scale": "linear"
    },
-   "start_time": "2024-09-10T13:51:59.005170",
+   "start_time": "2024-09-10T14:15:32.220478",
    "version": "2.6.0"
   }
  },
diff --git a/_sources/notebooks/Quick_start.ipynb.txt b/_sources/notebooks/Quick_start.ipynb.txt
index 031ac015..754dc055 100644
--- a/_sources/notebooks/Quick_start.ipynb.txt
+++ b/_sources/notebooks/Quick_start.ipynb.txt
@@ -2,7 +2,7 @@
  "cells": [
   {
    "cell_type": "markdown",
-   "id": "dbeea705",
+   "id": "b1fa30df",
    "metadata": {},
    "source": [
     "# Quick start\n",
@@ -15,13 +15,13 @@
   {
    "cell_type": "code",
    "execution_count": 1,
-   "id": "640b8d3b",
+   "id": "fa44f2a2",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:48.724666Z",
-     "iopub.status.busy": "2024-09-10T13:50:48.724044Z",
-     "iopub.status.idle": "2024-09-10T13:50:50.692020Z",
-     "shell.execute_reply": "2024-09-10T13:50:50.690830Z"
+     "iopub.execute_input": "2024-09-10T14:14:22.179280Z",
+     "iopub.status.busy": "2024-09-10T14:14:22.178824Z",
+     "iopub.status.idle": "2024-09-10T14:14:23.340691Z",
+     "shell.execute_reply": "2024-09-10T14:14:23.340119Z"
     }
    },
    "outputs": [],
@@ -33,13 +33,13 @@
   {
    "cell_type": "code",
    "execution_count": 2,
-   "id": "7dda17c5",
+   "id": "2a9c95e0",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:50.699557Z",
-     "iopub.status.busy": "2024-09-10T13:50:50.698991Z",
-     "iopub.status.idle": "2024-09-10T13:50:50.705190Z",
-     "shell.execute_reply": "2024-09-10T13:50:50.704560Z"
+     "iopub.execute_input": "2024-09-10T14:14:23.343377Z",
+     "iopub.status.busy": "2024-09-10T14:14:23.343013Z",
+     "iopub.status.idle": "2024-09-10T14:14:23.353953Z",
+     "shell.execute_reply": "2024-09-10T14:14:23.353530Z"
     }
    },
    "outputs": [],
@@ -51,7 +51,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "67b1e5a0",
+   "id": "e19a091d",
    "metadata": {},
    "source": [
     "Now let’s use it:\n",
@@ -61,13 +61,13 @@
   {
    "cell_type": "code",
    "execution_count": 3,
-   "id": "d02b733f",
+   "id": "74f710a8",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:50.708750Z",
-     "iopub.status.busy": "2024-09-10T13:50:50.708553Z",
-     "iopub.status.idle": "2024-09-10T13:50:51.364349Z",
-     "shell.execute_reply": "2024-09-10T13:50:51.363844Z"
+     "iopub.execute_input": "2024-09-10T14:14:23.355951Z",
+     "iopub.status.busy": "2024-09-10T14:14:23.355844Z",
+     "iopub.status.idle": "2024-09-10T14:14:23.887885Z",
+     "shell.execute_reply": "2024-09-10T14:14:23.887478Z"
     }
    },
    "outputs": [
@@ -89,7 +89,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5d30eedb",
+   "id": "fead96ad",
    "metadata": {},
    "source": [
     "Evaluate the model on an array of 100 energies logarithmically distributed between 1 and 100 keV and plot it"
@@ -98,13 +98,13 @@
   {
    "cell_type": "code",
    "execution_count": 4,
-   "id": "e161593c",
+   "id": "d5e1b5da",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:51.366723Z",
-     "iopub.status.busy": "2024-09-10T13:50:51.366598Z",
-     "iopub.status.idle": "2024-09-10T13:50:52.477736Z",
-     "shell.execute_reply": "2024-09-10T13:50:52.476451Z"
+     "iopub.execute_input": "2024-09-10T14:14:23.890029Z",
+     "iopub.status.busy": "2024-09-10T14:14:23.889879Z",
+     "iopub.status.idle": "2024-09-10T14:14:24.712469Z",
+     "shell.execute_reply": "2024-09-10T14:14:24.712006Z"
     }
    },
    "outputs": [
diff --git a/_sources/notebooks/Sin.ipynb.txt b/_sources/notebooks/Sin.ipynb.txt
index b392afc5..fd8b722f 100644
--- a/_sources/notebooks/Sin.ipynb.txt
+++ b/_sources/notebooks/Sin.ipynb.txt
@@ -2,13 +2,13 @@
  "cells": [
   {
    "cell_type": "markdown",
-   "id": "6e91228f",
+   "id": "9e2320f7",
    "metadata": {
     "papermill": {
-     "duration": 0.010673,
-     "end_time": "2024-09-10T13:51:17.225223",
+     "duration": 0.007562,
+     "end_time": "2024-09-10T14:14:48.193846",
      "exception": false,
-     "start_time": "2024-09-10T13:51:17.214550",
+     "start_time": "2024-09-10T14:14:48.186284",
      "status": "completed"
     },
     "tags": []
@@ -20,20 +20,20 @@
   {
    "cell_type": "code",
    "execution_count": 1,
-   "id": "7f46e2bd",
+   "id": "63691b0a",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:51:17.242599Z",
-     "iopub.status.busy": "2024-09-10T13:51:17.241339Z",
-     "iopub.status.idle": "2024-09-10T13:51:18.656882Z",
-     "shell.execute_reply": "2024-09-10T13:51:18.656371Z"
+     "iopub.execute_input": "2024-09-10T14:14:48.207245Z",
+     "iopub.status.busy": "2024-09-10T14:14:48.205980Z",
+     "iopub.status.idle": "2024-09-10T14:14:49.651952Z",
+     "shell.execute_reply": "2024-09-10T14:14:49.651415Z"
     },
     "nbsphinx": "hidden",
     "papermill": {
-     "duration": 1.425651,
-     "end_time": "2024-09-10T13:51:18.658393",
+     "duration": 1.453969,
+     "end_time": "2024-09-10T14:14:49.653437",
      "exception": false,
-     "start_time": "2024-09-10T13:51:17.232742",
+     "start_time": "2024-09-10T14:14:48.199468",
      "status": "completed"
     },
     "tags": []
@@ -60,20 +60,20 @@
   {
    "cell_type": "code",
    "execution_count": 2,
-   "id": "6ec5e496",
+   "id": "fc1dae5b",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:51:18.661849Z",
-     "iopub.status.busy": "2024-09-10T13:51:18.661533Z",
-     "iopub.status.idle": "2024-09-10T13:51:18.669859Z",
-     "shell.execute_reply": "2024-09-10T13:51:18.669471Z"
+     "iopub.execute_input": "2024-09-10T14:14:49.656890Z",
+     "iopub.status.busy": "2024-09-10T14:14:49.656547Z",
+     "iopub.status.idle": "2024-09-10T14:14:49.658874Z",
+     "shell.execute_reply": "2024-09-10T14:14:49.658511Z"
     },
     "nbsphinx": "hidden",
     "papermill": {
-     "duration": 0.011306,
-     "end_time": "2024-09-10T13:51:18.671075",
+     "duration": 0.005227,
+     "end_time": "2024-09-10T14:14:49.660059",
      "exception": false,
-     "start_time": "2024-09-10T13:51:18.659769",
+     "start_time": "2024-09-10T14:14:49.654832",
      "status": "completed"
     },
     "tags": [
@@ -95,19 +95,19 @@
   {
    "cell_type": "code",
    "execution_count": 3,
-   "id": "c930ebbf",
+   "id": "1c97a574",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:51:18.673916Z",
-     "iopub.status.busy": "2024-09-10T13:51:18.673774Z",
-     "iopub.status.idle": "2024-09-10T13:51:18.681820Z",
-     "shell.execute_reply": "2024-09-10T13:51:18.681447Z"
+     "iopub.execute_input": "2024-09-10T14:14:49.662779Z",
+     "iopub.status.busy": "2024-09-10T14:14:49.662641Z",
+     "iopub.status.idle": "2024-09-10T14:14:49.664594Z",
+     "shell.execute_reply": "2024-09-10T14:14:49.664219Z"
     },
     "papermill": {
-     "duration": 0.010868,
-     "end_time": "2024-09-10T13:51:18.683068",
+     "duration": 0.004711,
+     "end_time": "2024-09-10T14:14:49.665813",
      "exception": false,
-     "start_time": "2024-09-10T13:51:18.672200",
+     "start_time": "2024-09-10T14:14:49.661102",
      "status": "completed"
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     "tags": [
@@ -127,21 +127,21 @@
   {
    "cell_type": "code",
    "execution_count": 4,
-   "id": "8a73d426",
+   "id": "b6c10dd9",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:51:18.685828Z",
-     "iopub.status.busy": "2024-09-10T13:51:18.685688Z",
-     "iopub.status.idle": "2024-09-10T13:51:18.694991Z",
-     "shell.execute_reply": "2024-09-10T13:51:18.694541Z"
+     "iopub.execute_input": "2024-09-10T14:14:49.668605Z",
+     "iopub.status.busy": "2024-09-10T14:14:49.668476Z",
+     "iopub.status.idle": "2024-09-10T14:14:49.671482Z",
+     "shell.execute_reply": "2024-09-10T14:14:49.671087Z"
     },
     "lines_to_next_cell": 0,
     "nbsphinx": "hidden",
     "papermill": {
-     "duration": 0.012073,
-     "end_time": "2024-09-10T13:51:18.696239",
+     "duration": 0.005843,
+     "end_time": "2024-09-10T14:14:49.672790",
      "exception": false,
-     "start_time": "2024-09-10T13:51:18.684166",
+     "start_time": "2024-09-10T14:14:49.666947",
      "status": "completed"
     },
     "tags": []
@@ -170,14 +170,14 @@
   },
   {
    "cell_type": "markdown",
-   "id": "44b51960",
+   "id": "9f69015f",
    "metadata": {
     "lines_to_next_cell": 0,
     "papermill": {
-     "duration": 0.0011,
-     "end_time": "2024-09-10T13:51:18.698477",
+     "duration": 0.001072,
+     "end_time": "2024-09-10T14:14:49.674949",
      "exception": false,
-     "start_time": "2024-09-10T13:51:18.697377",
+     "start_time": "2024-09-10T14:14:49.673877",
      "status": "completed"
     },
     "tags": []
@@ -189,19 +189,19 @@
   {
    "cell_type": "code",
    "execution_count": 5,
-   "id": "3a8f41c4",
+   "id": "c2843145",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:51:18.701356Z",
-     "iopub.status.busy": "2024-09-10T13:51:18.701219Z",
-     "iopub.status.idle": "2024-09-10T13:51:18.705286Z",
-     "shell.execute_reply": "2024-09-10T13:51:18.704808Z"
+     "iopub.execute_input": "2024-09-10T14:14:49.677708Z",
+     "iopub.status.busy": "2024-09-10T14:14:49.677579Z",
+     "iopub.status.idle": "2024-09-10T14:14:49.681545Z",
+     "shell.execute_reply": "2024-09-10T14:14:49.681171Z"
     },
     "papermill": {
-     "duration": 0.007009,
-     "end_time": "2024-09-10T13:51:18.706610",
+     "duration": 0.006891,
+     "end_time": "2024-09-10T14:14:49.682856",
      "exception": false,
-     "start_time": "2024-09-10T13:51:18.699601",
+     "start_time": "2024-09-10T14:14:49.675965",
      "status": "completed"
     },
     "tags": []
@@ -337,13 +337,13 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f7e4ebe4",
+   "id": "2a2f8054",
    "metadata": {
     "papermill": {
-     "duration": 0.001195,
-     "end_time": "2024-09-10T13:51:18.709039",
+     "duration": 0.0012,
+     "end_time": "2024-09-10T14:14:49.685353",
      "exception": false,
-     "start_time": "2024-09-10T13:51:18.707844",
+     "start_time": "2024-09-10T14:14:49.684153",
      "status": "completed"
     },
     "tags": []
@@ -359,19 +359,19 @@
   {
    "cell_type": "code",
    "execution_count": 6,
-   "id": "79d049f9",
+   "id": "1f7c5685",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:51:18.712121Z",
-     "iopub.status.busy": "2024-09-10T13:51:18.711979Z",
-     "iopub.status.idle": "2024-09-10T13:51:18.817591Z",
-     "shell.execute_reply": "2024-09-10T13:51:18.817184Z"
+     "iopub.execute_input": "2024-09-10T14:14:49.688256Z",
+     "iopub.status.busy": "2024-09-10T14:14:49.688115Z",
+     "iopub.status.idle": "2024-09-10T14:14:49.795163Z",
+     "shell.execute_reply": "2024-09-10T14:14:49.794754Z"
     },
     "papermill": {
-     "duration": 0.108826,
-     "end_time": "2024-09-10T13:51:18.818986",
+     "duration": 0.109919,
+     "end_time": "2024-09-10T14:14:49.796402",
      "exception": false,
-     "start_time": "2024-09-10T13:51:18.710160",
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      "status": "completed"
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     "tags": [
@@ -404,14 +404,14 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0a7e21fb",
+   "id": "2346f61d",
    "metadata": {
     "lines_to_next_cell": 0,
     "papermill": {
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-     "end_time": "2024-09-10T13:51:18.822272",
+     "duration": 0.001521,
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      "exception": false,
-     "start_time": "2024-09-10T13:51:18.820730",
+     "start_time": "2024-09-10T14:14:49.798188",
      "status": "completed"
     },
     "tags": []
@@ -426,19 +426,19 @@
   {
    "cell_type": "code",
    "execution_count": 7,
-   "id": "f57b49a2",
+   "id": "457f620b",
    "metadata": {
     "execution": {
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-     "iopub.status.busy": "2024-09-10T13:51:18.825774Z",
-     "iopub.status.idle": "2024-09-10T13:51:18.974254Z",
-     "shell.execute_reply": "2024-09-10T13:51:18.973945Z"
+     "iopub.execute_input": "2024-09-10T14:14:49.803421Z",
+     "iopub.status.busy": "2024-09-10T14:14:49.803274Z",
+     "iopub.status.idle": "2024-09-10T14:14:49.951990Z",
+     "shell.execute_reply": "2024-09-10T14:14:49.951671Z"
     },
     "papermill": {
-     "duration": 0.152018,
-     "end_time": "2024-09-10T13:51:18.975735",
+     "duration": 0.152366,
+     "end_time": "2024-09-10T14:14:49.953519",
      "exception": false,
-     "start_time": "2024-09-10T13:51:18.823717",
+     "start_time": "2024-09-10T14:14:49.801153",
      "status": "completed"
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     "tags": []
@@ -470,13 +470,13 @@
   },
   {
    "cell_type": "markdown",
-   "id": "59dc0e27",
+   "id": "c117cac2",
    "metadata": {
     "papermill": {
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      "status": "completed"
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@@ -491,19 +491,19 @@
   {
    "cell_type": "code",
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-   "id": "9e098511",
+   "id": "ebf16788",
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diff --git a/_sources/notebooks/SmoothlyBrokenPowerLaw.ipynb.txt b/_sources/notebooks/SmoothlyBrokenPowerLaw.ipynb.txt
index 4d9cc267..fafc92c8 100644
--- a/_sources/notebooks/SmoothlyBrokenPowerLaw.ipynb.txt
+++ b/_sources/notebooks/SmoothlyBrokenPowerLaw.ipynb.txt
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@@ -587,19 +587,19 @@
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diff --git a/_sources/notebooks/StepFunction.ipynb.txt b/_sources/notebooks/StepFunction.ipynb.txt
index 958a9844..428aee22 100644
--- a/_sources/notebooks/StepFunction.ipynb.txt
+++ b/_sources/notebooks/StepFunction.ipynb.txt
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@@ -170,14 +170,14 @@
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@@ -189,19 +189,19 @@
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@@ -340,13 +340,13 @@
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@@ -362,19 +362,19 @@
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@@ -407,14 +407,14 @@
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@@ -429,19 +429,19 @@
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@@ -473,13 +473,13 @@
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@@ -494,19 +494,19 @@
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@@ -559,8 +559,8 @@
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@@ -572,7 +572,7 @@
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diff --git a/_sources/notebooks/StepFunctionUpper.ipynb.txt b/_sources/notebooks/StepFunctionUpper.ipynb.txt
index c1ffadcf..2889bf7e 100644
--- a/_sources/notebooks/StepFunctionUpper.ipynb.txt
+++ b/_sources/notebooks/StepFunctionUpper.ipynb.txt
@@ -2,13 +2,13 @@
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@@ -20,20 +20,20 @@
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@@ -60,20 +60,20 @@
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@@ -95,19 +95,19 @@
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@@ -127,21 +127,21 @@
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@@ -170,14 +170,14 @@
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@@ -189,19 +189,19 @@
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@@ -339,13 +339,13 @@
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@@ -361,19 +361,19 @@
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@@ -406,14 +406,14 @@
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@@ -428,19 +428,19 @@
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@@ -472,13 +472,13 @@
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@@ -493,19 +493,19 @@
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@@ -571,7 +571,7 @@
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diff --git a/_sources/notebooks/Super_cutoff_powerlaw.ipynb.txt b/_sources/notebooks/Super_cutoff_powerlaw.ipynb.txt
index e0efb341..0720de42 100644
--- a/_sources/notebooks/Super_cutoff_powerlaw.ipynb.txt
+++ b/_sources/notebooks/Super_cutoff_powerlaw.ipynb.txt
@@ -2,13 +2,13 @@
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@@ -60,20 +60,20 @@
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@@ -170,14 +170,14 @@
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@@ -401,13 +401,13 @@
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@@ -468,14 +468,14 @@
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@@ -490,19 +490,19 @@
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@@ -534,13 +534,13 @@
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@@ -555,19 +555,19 @@
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@@ -633,7 +633,7 @@
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diff --git a/_sources/notebooks/TbAbs.ipynb.txt b/_sources/notebooks/TbAbs.ipynb.txt
index 7caaca61..2c903576 100644
--- a/_sources/notebooks/TbAbs.ipynb.txt
+++ b/_sources/notebooks/TbAbs.ipynb.txt
@@ -2,13 +2,13 @@
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@@ -127,21 +127,21 @@
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@@ -170,14 +170,14 @@
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@@ -189,19 +189,19 @@
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@@ -332,13 +332,13 @@
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@@ -354,19 +354,19 @@
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@@ -399,14 +399,14 @@
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@@ -421,19 +421,19 @@
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@@ -465,13 +465,13 @@
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@@ -486,19 +486,19 @@
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@@ -551,8 +551,8 @@
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@@ -564,7 +564,7 @@
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+   "start_time": "2024-09-10T14:15:03.570880",
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diff --git a/_sources/notebooks/Truncated_gaussian.ipynb.txt b/_sources/notebooks/Truncated_gaussian.ipynb.txt
index 32eb54b6..4b3fd7dc 100644
--- a/_sources/notebooks/Truncated_gaussian.ipynb.txt
+++ b/_sources/notebooks/Truncated_gaussian.ipynb.txt
@@ -2,13 +2,13 @@
  "cells": [
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@@ -20,20 +20,20 @@
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@@ -60,20 +60,20 @@
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@@ -90,19 +90,19 @@
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@@ -119,21 +119,21 @@
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@@ -160,14 +160,14 @@
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@@ -179,19 +179,19 @@
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@@ -394,13 +394,13 @@
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@@ -416,19 +416,19 @@
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@@ -469,13 +469,13 @@
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-     "start_time": "2024-09-10T13:53:17.972663",
+     "start_time": "2024-09-10T14:16:59.841306",
      "status": "completed"
     },
     "tags": []
@@ -489,19 +489,19 @@
   {
    "cell_type": "code",
    "execution_count": 7,
-   "id": "8f7245ae",
+   "id": "215b307f",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:53:17.978247Z",
-     "iopub.status.busy": "2024-09-10T13:53:17.977474Z",
-     "iopub.status.idle": "2024-09-10T13:53:18.121321Z",
-     "shell.execute_reply": "2024-09-10T13:53:18.120977Z"
+     "iopub.execute_input": "2024-09-10T14:16:59.846161Z",
+     "iopub.status.busy": "2024-09-10T14:16:59.846008Z",
+     "iopub.status.idle": "2024-09-10T14:17:00.002519Z",
+     "shell.execute_reply": "2024-09-10T14:17:00.000468Z"
     },
     "papermill": {
-     "duration": 0.147324,
-     "end_time": "2024-09-10T13:53:18.122750",
+     "duration": 0.161634,
+     "end_time": "2024-09-10T14:17:00.005688",
      "exception": false,
-     "start_time": "2024-09-10T13:53:17.975426",
+     "start_time": "2024-09-10T14:16:59.844054",
      "status": "completed"
     },
     "tags": []
@@ -519,7 +519,7 @@
     },
     {
      "data": {
-      "image/png": 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",
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",
       "text/plain": [
        "
"
       ]
@@ -570,8 +570,8 @@
   },
   "papermill": {
    "default_parameters": {},
-   "duration": 2.590468,
-   "end_time": "2024-09-10T13:53:18.455133",
+   "duration": 2.959618,
+   "end_time": "2024-09-10T14:17:00.444030",
    "environment_variables": {},
    "exception": null,
    "input_path": "Truncated_gaussian.ipynb",
@@ -580,7 +580,7 @@
     "func_name": "Truncated_gaussian",
     "positive_prior": false
    },
-   "start_time": "2024-09-10T13:53:15.864665",
+   "start_time": "2024-09-10T14:16:57.484412",
    "version": "2.6.0"
   }
  },
diff --git a/_sources/notebooks/Uniform_prior.ipynb.txt b/_sources/notebooks/Uniform_prior.ipynb.txt
index 7f5ca10f..2e206ba9 100644
--- a/_sources/notebooks/Uniform_prior.ipynb.txt
+++ b/_sources/notebooks/Uniform_prior.ipynb.txt
@@ -2,13 +2,13 @@
  "cells": [
   {
    "cell_type": "markdown",
-   "id": "9696e1e5",
+   "id": "800a47a4",
    "metadata": {
     "papermill": {
-     "duration": 0.007515,
-     "end_time": "2024-09-10T13:53:27.399262",
+     "duration": 0.007154,
+     "end_time": "2024-09-10T14:17:09.822163",
      "exception": false,
-     "start_time": "2024-09-10T13:53:27.391747",
+     "start_time": "2024-09-10T14:17:09.815009",
      "status": "completed"
     },
     "tags": []
@@ -20,20 +20,20 @@
   {
    "cell_type": "code",
    "execution_count": 1,
-   "id": "d8eee616",
+   "id": "b70bfe23",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:53:27.412191Z",
-     "iopub.status.busy": "2024-09-10T13:53:27.411097Z",
-     "iopub.status.idle": "2024-09-10T13:53:28.822843Z",
-     "shell.execute_reply": "2024-09-10T13:53:28.822331Z"
+     "iopub.execute_input": "2024-09-10T14:17:09.834832Z",
+     "iopub.status.busy": "2024-09-10T14:17:09.834305Z",
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     "papermill": {
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@@ -60,20 +60,20 @@
   {
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    "execution_count": 2,
-   "id": "5833dcf4",
+   "id": "f17d69b6",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:53:28.827618Z",
-     "iopub.status.busy": "2024-09-10T13:53:28.827297Z",
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-     "shell.execute_reply": "2024-09-10T13:53:28.829019Z"
+     "iopub.execute_input": "2024-09-10T14:17:11.500200Z",
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      "status": "completed"
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     "tags": [
@@ -90,19 +90,19 @@
   {
    "cell_type": "code",
    "execution_count": 3,
-   "id": "cfa62271",
+   "id": "cb268152",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:53:28.833243Z",
-     "iopub.status.busy": "2024-09-10T13:53:28.833100Z",
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-     "shell.execute_reply": "2024-09-10T13:53:28.838958Z"
+     "iopub.execute_input": "2024-09-10T14:17:11.506083Z",
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-     "end_time": "2024-09-10T13:53:28.840556",
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-     "start_time": "2024-09-10T13:53:28.831664",
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      "status": "completed"
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     "tags": [
@@ -119,21 +119,21 @@
   {
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    "execution_count": 4,
-   "id": "0066d0ae",
+   "id": "f5e8eb79",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:53:28.843126Z",
-     "iopub.status.busy": "2024-09-10T13:53:28.842985Z",
-     "iopub.status.idle": "2024-09-10T13:53:28.851802Z",
-     "shell.execute_reply": "2024-09-10T13:53:28.851446Z"
+     "iopub.execute_input": "2024-09-10T14:17:11.511905Z",
+     "iopub.status.busy": "2024-09-10T14:17:11.511745Z",
+     "iopub.status.idle": "2024-09-10T14:17:11.520787Z",
+     "shell.execute_reply": "2024-09-10T14:17:11.520360Z"
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     "nbsphinx": "hidden",
     "papermill": {
-     "duration": 0.011552,
-     "end_time": "2024-09-10T13:53:28.853094",
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      "exception": false,
-     "start_time": "2024-09-10T13:53:28.841542",
+     "start_time": "2024-09-10T14:17:11.510214",
      "status": "completed"
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     "tags": []
@@ -160,14 +160,14 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b72fc713",
+   "id": "67720ce0",
    "metadata": {
     "lines_to_next_cell": 0,
     "papermill": {
-     "duration": 0.000986,
-     "end_time": "2024-09-10T13:53:28.855084",
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      "exception": false,
-     "start_time": "2024-09-10T13:53:28.854098",
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      "status": "completed"
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     "tags": []
@@ -179,19 +179,19 @@
   {
    "cell_type": "code",
    "execution_count": 5,
-   "id": "73ca7511",
+   "id": "7eddc143",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:53:28.857682Z",
-     "iopub.status.busy": "2024-09-10T13:53:28.857542Z",
-     "iopub.status.idle": "2024-09-10T13:53:28.861593Z",
-     "shell.execute_reply": "2024-09-10T13:53:28.861237Z"
+     "iopub.execute_input": "2024-09-10T14:17:11.526867Z",
+     "iopub.status.busy": "2024-09-10T14:17:11.526716Z",
+     "iopub.status.idle": "2024-09-10T14:17:11.531081Z",
+     "shell.execute_reply": "2024-09-10T14:17:11.530739Z"
     },
     "papermill": {
-     "duration": 0.006854,
-     "end_time": "2024-09-10T13:53:28.862950",
+     "duration": 0.007227,
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-     "start_time": "2024-09-10T13:53:28.856096",
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      "status": "completed"
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     "tags": []
@@ -330,13 +330,13 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c22fb1ee",
+   "id": "41cac885",
    "metadata": {
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-     "end_time": "2024-09-10T13:53:28.865240",
+     "duration": 0.001267,
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      "exception": false,
-     "start_time": "2024-09-10T13:53:28.864095",
+     "start_time": "2024-09-10T14:17:11.533588",
      "status": "completed"
     },
     "tags": []
@@ -352,19 +352,19 @@
   {
    "cell_type": "code",
    "execution_count": 6,
-   "id": "2ef5edc3",
+   "id": "eb48bbbc",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:53:28.868135Z",
-     "iopub.status.busy": "2024-09-10T13:53:28.867984Z",
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-     "shell.execute_reply": "2024-09-10T13:53:28.962829Z"
+     "iopub.execute_input": "2024-09-10T14:17:11.537775Z",
+     "iopub.status.busy": "2024-09-10T14:17:11.537624Z",
+     "iopub.status.idle": "2024-09-10T14:17:11.643754Z",
+     "shell.execute_reply": "2024-09-10T14:17:11.643404Z"
     },
     "papermill": {
-     "duration": 0.098295,
-     "end_time": "2024-09-10T13:53:28.964589",
+     "duration": 0.109274,
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      "exception": false,
-     "start_time": "2024-09-10T13:53:28.866294",
+     "start_time": "2024-09-10T14:17:11.535915",
      "status": "completed"
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     "tags": [
@@ -405,13 +405,13 @@
   },
   {
    "cell_type": "markdown",
-   "id": "08b5de40",
+   "id": "d5cc30ac",
    "metadata": {
     "papermill": {
-     "duration": 0.001392,
-     "end_time": "2024-09-10T13:53:28.967557",
+     "duration": 0.006707,
+     "end_time": "2024-09-10T14:17:11.658713",
      "exception": false,
-     "start_time": "2024-09-10T13:53:28.966165",
+     "start_time": "2024-09-10T14:17:11.652006",
      "status": "completed"
     },
     "tags": []
@@ -425,19 +425,19 @@
   {
    "cell_type": "code",
    "execution_count": 7,
-   "id": "b5322da2",
+   "id": "8b7a80c1",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:53:28.970876Z",
-     "iopub.status.busy": "2024-09-10T13:53:28.970725Z",
-     "iopub.status.idle": "2024-09-10T13:53:29.082952Z",
-     "shell.execute_reply": "2024-09-10T13:53:29.082621Z"
+     "iopub.execute_input": "2024-09-10T14:17:11.665237Z",
+     "iopub.status.busy": "2024-09-10T14:17:11.665056Z",
+     "iopub.status.idle": "2024-09-10T14:17:11.785319Z",
+     "shell.execute_reply": "2024-09-10T14:17:11.784548Z"
     },
     "papermill": {
-     "duration": 0.115457,
-     "end_time": "2024-09-10T13:53:29.084350",
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-     "start_time": "2024-09-10T13:53:28.968893",
+     "start_time": "2024-09-10T14:17:11.660352",
      "status": "completed"
     },
     "tags": []
@@ -455,7 +455,7 @@
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     {
      "data": {
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",
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",
       "text/plain": [
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@@ -506,8 +506,8 @@
   },
   "papermill": {
    "default_parameters": {},
-   "duration": 2.754239,
-   "end_time": "2024-09-10T13:53:29.423075",
+   "duration": 3.159523,
+   "end_time": "2024-09-10T14:17:12.231891",
    "environment_variables": {},
    "exception": null,
    "input_path": "Uniform_prior.ipynb",
@@ -516,7 +516,7 @@
     "func_name": "Uniform_prior",
     "positive_prior": false
    },
-   "start_time": "2024-09-10T13:53:26.668836",
+   "start_time": "2024-09-10T14:17:09.072368",
    "version": "2.6.0"
   }
  },
diff --git a/_sources/notebooks/WAbs.ipynb.txt b/_sources/notebooks/WAbs.ipynb.txt
index 61c97329..d3c28e7e 100644
--- a/_sources/notebooks/WAbs.ipynb.txt
+++ b/_sources/notebooks/WAbs.ipynb.txt
@@ -2,13 +2,13 @@
  "cells": [
   {
    "cell_type": "markdown",
-   "id": "0bf64bc5",
+   "id": "34e925e1",
    "metadata": {
     "papermill": {
-     "duration": 0.008249,
-     "end_time": "2024-09-10T13:51:36.441770",
+     "duration": 0.018179,
+     "end_time": "2024-09-10T14:15:08.288743",
      "exception": false,
-     "start_time": "2024-09-10T13:51:36.433521",
+     "start_time": "2024-09-10T14:15:08.270564",
      "status": "completed"
     },
     "tags": []
@@ -20,20 +20,20 @@
   {
    "cell_type": "code",
    "execution_count": 1,
-   "id": "bcac21e8",
+   "id": "acf54a70",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:51:36.457851Z",
-     "iopub.status.busy": "2024-09-10T13:51:36.457540Z",
-     "iopub.status.idle": "2024-09-10T13:51:37.993299Z",
-     "shell.execute_reply": "2024-09-10T13:51:37.992425Z"
+     "iopub.execute_input": "2024-09-10T14:15:08.292863Z",
+     "iopub.status.busy": "2024-09-10T14:15:08.292616Z",
+     "iopub.status.idle": "2024-09-10T14:15:09.858618Z",
+     "shell.execute_reply": "2024-09-10T14:15:09.857976Z"
     },
     "nbsphinx": "hidden",
     "papermill": {
-     "duration": 1.547081,
-     "end_time": "2024-09-10T13:51:37.995086",
+     "duration": 1.570044,
+     "end_time": "2024-09-10T14:15:09.860379",
      "exception": false,
-     "start_time": "2024-09-10T13:51:36.448005",
+     "start_time": "2024-09-10T14:15:08.290335",
      "status": "completed"
     },
     "tags": []
@@ -60,20 +60,20 @@
   {
    "cell_type": "code",
    "execution_count": 2,
-   "id": "b9c868b3",
+   "id": "a431feec",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:51:37.999686Z",
-     "iopub.status.busy": "2024-09-10T13:51:37.999255Z",
-     "iopub.status.idle": "2024-09-10T13:51:38.002199Z",
-     "shell.execute_reply": "2024-09-10T13:51:38.001728Z"
+     "iopub.execute_input": "2024-09-10T14:15:09.864135Z",
+     "iopub.status.busy": "2024-09-10T14:15:09.863758Z",
+     "iopub.status.idle": "2024-09-10T14:15:09.866601Z",
+     "shell.execute_reply": "2024-09-10T14:15:09.866009Z"
     },
     "nbsphinx": "hidden",
     "papermill": {
-     "duration": 0.007197,
-     "end_time": "2024-09-10T13:51:38.003877",
+     "duration": 0.006193,
+     "end_time": "2024-09-10T14:15:09.867995",
      "exception": false,
-     "start_time": "2024-09-10T13:51:37.996680",
+     "start_time": "2024-09-10T14:15:09.861802",
      "status": "completed"
     },
     "tags": [
@@ -95,19 +95,19 @@
   {
    "cell_type": "code",
    "execution_count": 3,
-   "id": "558e21ed",
+   "id": "45208bf7",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:51:38.007604Z",
-     "iopub.status.busy": "2024-09-10T13:51:38.007394Z",
-     "iopub.status.idle": "2024-09-10T13:51:38.010091Z",
-     "shell.execute_reply": "2024-09-10T13:51:38.009590Z"
+     "iopub.execute_input": "2024-09-10T14:15:09.871152Z",
+     "iopub.status.busy": "2024-09-10T14:15:09.870992Z",
+     "iopub.status.idle": "2024-09-10T14:15:09.879459Z",
+     "shell.execute_reply": "2024-09-10T14:15:09.878832Z"
     },
     "papermill": {
-     "duration": 0.006231,
-     "end_time": "2024-09-10T13:51:38.011551",
+     "duration": 0.011888,
+     "end_time": "2024-09-10T14:15:09.881125",
      "exception": false,
-     "start_time": "2024-09-10T13:51:38.005320",
+     "start_time": "2024-09-10T14:15:09.869237",
      "status": "completed"
     },
     "tags": [
@@ -127,21 +127,21 @@
   {
    "cell_type": "code",
    "execution_count": 4,
-   "id": "2bd074b1",
+   "id": "942fef07",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:51:38.015213Z",
-     "iopub.status.busy": "2024-09-10T13:51:38.015029Z",
-     "iopub.status.idle": "2024-09-10T13:51:38.029442Z",
-     "shell.execute_reply": "2024-09-10T13:51:38.028891Z"
+     "iopub.execute_input": "2024-09-10T14:15:09.884451Z",
+     "iopub.status.busy": "2024-09-10T14:15:09.884284Z",
+     "iopub.status.idle": "2024-09-10T14:15:09.898006Z",
+     "shell.execute_reply": "2024-09-10T14:15:09.897232Z"
     },
     "lines_to_next_cell": 0,
     "nbsphinx": "hidden",
     "papermill": {
-     "duration": 0.018112,
-     "end_time": "2024-09-10T13:51:38.031113",
+     "duration": 0.017369,
+     "end_time": "2024-09-10T14:15:09.899875",
      "exception": false,
-     "start_time": "2024-09-10T13:51:38.013001",
+     "start_time": "2024-09-10T14:15:09.882506",
      "status": "completed"
     },
     "tags": []
@@ -170,14 +170,14 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9d2bc723",
+   "id": "844516b1",
    "metadata": {
     "lines_to_next_cell": 0,
     "papermill": {
-     "duration": 0.001547,
-     "end_time": "2024-09-10T13:51:38.034215",
+     "duration": 0.001245,
+     "end_time": "2024-09-10T14:15:09.902518",
      "exception": false,
-     "start_time": "2024-09-10T13:51:38.032668",
+     "start_time": "2024-09-10T14:15:09.901273",
      "status": "completed"
     },
     "tags": []
@@ -189,19 +189,19 @@
   {
    "cell_type": "code",
    "execution_count": 5,
-   "id": "9019c762",
+   "id": "8f4cba0e",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:51:38.037743Z",
-     "iopub.status.busy": "2024-09-10T13:51:38.037545Z",
-     "iopub.status.idle": "2024-09-10T13:51:38.042027Z",
-     "shell.execute_reply": "2024-09-10T13:51:38.041595Z"
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@@ -306,13 +306,13 @@
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@@ -328,19 +328,19 @@
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@@ -373,14 +373,14 @@
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@@ -395,19 +395,19 @@
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@@ -439,13 +439,13 @@
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@@ -460,19 +460,19 @@
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@@ -525,8 +525,8 @@
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@@ -538,7 +538,7 @@
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    },
-   "start_time": "2024-09-10T13:51:35.932285",
+   "start_time": "2024-09-10T14:15:07.485086",
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diff --git a/_sources/notebooks/ZDust.ipynb.txt b/_sources/notebooks/ZDust.ipynb.txt
index e782ae3e..de777d13 100644
--- a/_sources/notebooks/ZDust.ipynb.txt
+++ b/_sources/notebooks/ZDust.ipynb.txt
@@ -2,13 +2,13 @@
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@@ -20,20 +20,20 @@
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@@ -60,20 +60,20 @@
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@@ -95,19 +95,19 @@
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@@ -127,21 +127,21 @@
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@@ -170,14 +170,14 @@
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@@ -189,19 +189,19 @@
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@@ -375,13 +375,13 @@
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@@ -397,19 +397,19 @@
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@@ -442,14 +442,14 @@
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@@ -464,19 +464,19 @@
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@@ -508,13 +508,13 @@
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@@ -529,19 +529,19 @@
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@@ -594,8 +594,8 @@
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-   "end_time": "2024-09-10T13:51:47.626829",
+   "duration": 3.843847,
+   "end_time": "2024-09-10T14:15:19.526451",
    "environment_variables": {},
    "exception": null,
    "input_path": "ZDust.ipynb",
@@ -607,7 +607,7 @@
     "x_scale": "log",
     "y_scale": "log"
    },
-   "start_time": "2024-09-10T13:51:43.700668",
+   "start_time": "2024-09-10T14:15:15.682604",
    "version": "2.6.0"
   }
  },
diff --git a/_sources/notebooks/function_list.ipynb.txt b/_sources/notebooks/function_list.ipynb.txt
index e4a48f1b..b8011da5 100644
--- a/_sources/notebooks/function_list.ipynb.txt
+++ b/_sources/notebooks/function_list.ipynb.txt
@@ -2,7 +2,7 @@
  "cells": [
   {
    "cell_type": "markdown",
-   "id": "481811d7",
+   "id": "6809c99b",
    "metadata": {},
    "source": [
     "# Available Functions\n",
@@ -15,7 +15,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9701aa5c",
+   "id": "71ec4d0f",
    "metadata": {
     "tags": [
      "nbsphinx-gallery"
@@ -63,7 +63,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e200960c",
+   "id": "03fbfe8b",
    "metadata": {},
    "source": [
     "## Included 2D Functions"
@@ -71,7 +71,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c5c87f9b",
+   "id": "6dca91b9",
    "metadata": {
     "tags": [
      "nbsphinx-gallery"
@@ -90,7 +90,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "195866e8",
+   "id": "545f3c5a",
    "metadata": {},
    "source": [
     "## Included Prior Functions\n",
@@ -100,7 +100,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "53590b2c",
+   "id": "2e810f21",
    "metadata": {
     "lines_to_next_cell": 0,
     "tags": [
@@ -125,7 +125,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "227bf524",
+   "id": "435ba6c0",
    "metadata": {},
    "source": []
   }
diff --git a/notebooks/Additional_features_for_scripts_and_applications.html b/notebooks/Additional_features_for_scripts_and_applications.html
index ccf1cdb2..70803677 100644
--- a/notebooks/Additional_features_for_scripts_and_applications.html
+++ b/notebooks/Additional_features_for_scripts_and_applications.html
@@ -117,7 +117,7 @@ 
Additional features for scripts and applications
 

 

-
13:50:02 WARNING   The naima package is not available. Models that depend on it will not be         functions.py:48
+
14:13:39 WARNING   The naima package is not available. Models that depend on it will not be         functions.py:48
                   available                                                                                        
 

 

diff --git a/notebooks/Additional_features_for_scripts_and_applications.ipynb b/notebooks/Additional_features_for_scripts_and_applications.ipynb
index 5310922d..a9c7415b 100644
--- a/notebooks/Additional_features_for_scripts_and_applications.ipynb
+++ b/notebooks/Additional_features_for_scripts_and_applications.ipynb
@@ -2,7 +2,7 @@
  "cells": [
   {
    "cell_type": "markdown",
-   "id": "5d44169a",
+   "id": "9521856b",
    "metadata": {},
    "source": [
     "# Additional features for scripts and applications\n",
@@ -15,25 +15,25 @@
   {
    "cell_type": "code",
    "execution_count": 1,
-   "id": "c1618dcc",
+   "id": "abf98d5a",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:01.410110Z",
-     "iopub.status.busy": "2024-09-10T13:50:01.409660Z",
-     "iopub.status.idle": "2024-09-10T13:50:03.499108Z",
-     "shell.execute_reply": "2024-09-10T13:50:03.498535Z"
+     "iopub.execute_input": "2024-09-10T14:13:38.097952Z",
+     "iopub.status.busy": "2024-09-10T14:13:38.097345Z",
+     "iopub.status.idle": "2024-09-10T14:13:40.090729Z",
+     "shell.execute_reply": "2024-09-10T14:13:40.090136Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/html": [
-       "
13:50:02 WARNING   The naima package is not available. Models that depend on it will not be         functions.py:48\n",
+       "
14:13:39 WARNING   The naima package is not available. Models that depend on it will not be         functions.py:48\n",
        "                  available                                                                                        \n",
        "
\n"
       ],
       "text/plain": [
-       "\u001b[38;5;46m13:50:02\u001b[0m\u001b[38;5;46m \u001b[0m\u001b[38;5;134mWARNING \u001b[0m \u001b[1;38;5;251m The naima package is not available. Models that depend on it will not be        \u001b[0m\u001b[1;38;5;251m \u001b[0m\u001b]8;id=45755;file:///Users/runner/work/astromodels/astromodels/astromodels/functions/functions_1D/functions.py\u001b\\\u001b[2mfunctions.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=459141;file:///Users/runner/work/astromodels/astromodels/astromodels/functions/functions_1D/functions.py#48\u001b\\\u001b[2m48\u001b[0m\u001b]8;;\u001b\\\n",
+       "\u001b[38;5;46m14:13:39\u001b[0m\u001b[38;5;46m \u001b[0m\u001b[38;5;134mWARNING \u001b[0m \u001b[1;38;5;251m The naima package is not available. Models that depend on it will not be        \u001b[0m\u001b[1;38;5;251m \u001b[0m\u001b]8;id=865310;file:///Users/runner/work/astromodels/astromodels/astromodels/functions/functions_1D/functions.py\u001b\\\u001b[2mfunctions.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=623565;file:///Users/runner/work/astromodels/astromodels/astromodels/functions/functions_1D/functions.py#48\u001b\\\u001b[2m48\u001b[0m\u001b]8;;\u001b\\\n",
        "\u001b[38;5;46m         \u001b[0m         \u001b[1;38;5;251mavailable                                                                        \u001b[0m\u001b[1;38;5;251m \u001b[0m\u001b[2m               \u001b[0m\n"
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@@ -48,7 +48,7 @@
        "
\n"
       ],
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+       "\u001b[38;5;46m        \u001b[0m\u001b[38;5;46m \u001b[0m\u001b[38;5;134mWARNING \u001b[0m \u001b[1;38;5;251m The GSL library or the pygsl wrapper cannot be loaded. Models that depend on it \u001b[0m\u001b[1;38;5;251m \u001b[0m\u001b]8;id=836864;file:///Users/runner/work/astromodels/astromodels/astromodels/functions/functions_1D/functions.py\u001b\\\u001b[2mfunctions.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=143129;file:///Users/runner/work/astromodels/astromodels/astromodels/functions/functions_1D/functions.py#69\u001b\\\u001b[2m69\u001b[0m\u001b]8;;\u001b\\\n",
        "\u001b[38;5;46m         \u001b[0m         \u001b[1;38;5;251mwill not be available.                                                           \u001b[0m\u001b[1;38;5;251m \u001b[0m\u001b[2m               \u001b[0m\n"
       ]
      },
@@ -63,13 +63,13 @@
   {
    "cell_type": "code",
    "execution_count": 2,
-   "id": "e5149f13",
+   "id": "3e055b52",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:03.501818Z",
-     "iopub.status.busy": "2024-09-10T13:50:03.501539Z",
-     "iopub.status.idle": "2024-09-10T13:50:03.520599Z",
-     "shell.execute_reply": "2024-09-10T13:50:03.520125Z"
+     "iopub.execute_input": "2024-09-10T14:13:40.093459Z",
+     "iopub.status.busy": "2024-09-10T14:13:40.093175Z",
+     "iopub.status.idle": "2024-09-10T14:13:40.112400Z",
+     "shell.execute_reply": "2024-09-10T14:13:40.112004Z"
     }
    },
    "outputs": [],
@@ -79,7 +79,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5ef98089",
+   "id": "7281e146",
    "metadata": {},
    "source": [
     "## Get dictionaries of point and extended sources\n",
@@ -90,13 +90,13 @@
   {
    "cell_type": "code",
    "execution_count": 3,
-   "id": "d11295e5",
+   "id": "1eb86a89",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:03.522775Z",
-     "iopub.status.busy": "2024-09-10T13:50:03.522659Z",
-     "iopub.status.idle": "2024-09-10T13:50:03.531643Z",
-     "shell.execute_reply": "2024-09-10T13:50:03.531238Z"
+     "iopub.execute_input": "2024-09-10T14:13:40.114484Z",
+     "iopub.status.busy": "2024-09-10T14:13:40.114385Z",
+     "iopub.status.idle": "2024-09-10T14:13:40.122771Z",
+     "shell.execute_reply": "2024-09-10T14:13:40.122409Z"
     }
    },
    "outputs": [
@@ -122,7 +122,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f1114512",
+   "id": "623a7797",
    "metadata": {},
    "source": [
     "You can use these dictionaries as usual. For example, you can loop over all point sources and print their position:"
@@ -131,13 +131,13 @@
   {
    "cell_type": "code",
    "execution_count": 4,
-   "id": "717cdc4d",
+   "id": "2fc04bc4",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:03.533669Z",
-     "iopub.status.busy": "2024-09-10T13:50:03.533565Z",
-     "iopub.status.idle": "2024-09-10T13:50:03.535889Z",
-     "shell.execute_reply": "2024-09-10T13:50:03.535510Z"
+     "iopub.execute_input": "2024-09-10T14:13:40.124710Z",
+     "iopub.status.busy": "2024-09-10T14:13:40.124608Z",
+     "iopub.status.idle": "2024-09-10T14:13:40.132882Z",
+     "shell.execute_reply": "2024-09-10T14:13:40.132546Z"
     }
    },
    "outputs": [
@@ -158,7 +158,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ef4fd8f1",
+   "id": "d9fa99e0",
    "metadata": {},
    "source": [
     "## Accessing components and spectral shapes with no previous information\n",
@@ -169,13 +169,13 @@
   {
    "cell_type": "code",
    "execution_count": 5,
-   "id": "320cca32",
+   "id": "1064474b",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:03.537843Z",
-     "iopub.status.busy": "2024-09-10T13:50:03.537705Z",
-     "iopub.status.idle": "2024-09-10T13:50:03.539727Z",
-     "shell.execute_reply": "2024-09-10T13:50:03.539371Z"
+     "iopub.execute_input": "2024-09-10T14:13:40.134757Z",
+     "iopub.status.busy": "2024-09-10T14:13:40.134664Z",
+     "iopub.status.idle": "2024-09-10T14:13:40.136773Z",
+     "shell.execute_reply": "2024-09-10T14:13:40.136286Z"
     }
    },
    "outputs": [
@@ -194,7 +194,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7bf449ae",
+   "id": "7974d20b",
    "metadata": {},
    "source": [
     "So now we can loop over all the sources and print their components:"
@@ -203,13 +203,13 @@
   {
    "cell_type": "code",
    "execution_count": 6,
-   "id": "309b722c",
+   "id": "73fb22e3",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:03.541863Z",
-     "iopub.status.busy": "2024-09-10T13:50:03.541733Z",
-     "iopub.status.idle": "2024-09-10T13:50:03.549698Z",
-     "shell.execute_reply": "2024-09-10T13:50:03.549356Z"
+     "iopub.execute_input": "2024-09-10T14:13:40.138663Z",
+     "iopub.status.busy": "2024-09-10T14:13:40.138570Z",
+     "iopub.status.idle": "2024-09-10T14:13:40.146779Z",
+     "shell.execute_reply": "2024-09-10T14:13:40.146382Z"
     }
    },
    "outputs": [
@@ -230,7 +230,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b640a2ca",
+   "id": "dec50895",
    "metadata": {},
    "source": [
     "With a fully-qualified path, you would need to know the name of the function to access its parameters. Instead, you can use the generic name “shape”. For example these two statements point to the same function instance:"
@@ -239,13 +239,13 @@
   {
    "cell_type": "code",
    "execution_count": 7,
-   "id": "d2b76399",
+   "id": "af50e70b",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:03.551508Z",
-     "iopub.status.busy": "2024-09-10T13:50:03.551415Z",
-     "iopub.status.idle": "2024-09-10T13:50:03.560346Z",
-     "shell.execute_reply": "2024-09-10T13:50:03.559968Z"
+     "iopub.execute_input": "2024-09-10T14:13:40.148772Z",
+     "iopub.status.busy": "2024-09-10T14:13:40.148667Z",
+     "iopub.status.idle": "2024-09-10T14:13:40.155814Z",
+     "shell.execute_reply": "2024-09-10T14:13:40.155432Z"
     }
    },
    "outputs": [
@@ -266,7 +266,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2795dac1",
+   "id": "8f7b7ee4",
    "metadata": {},
    "source": [
     "Once you have a function instance, you can obtain a dictionary of its parameters as:"
@@ -275,13 +275,13 @@
   {
    "cell_type": "code",
    "execution_count": 8,
-   "id": "ca1da1a6",
+   "id": "68b6471b",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:03.562256Z",
-     "iopub.status.busy": "2024-09-10T13:50:03.562157Z",
-     "iopub.status.idle": "2024-09-10T13:50:03.564266Z",
-     "shell.execute_reply": "2024-09-10T13:50:03.563861Z"
+     "iopub.execute_input": "2024-09-10T14:13:40.157754Z",
+     "iopub.status.busy": "2024-09-10T14:13:40.157659Z",
+     "iopub.status.idle": "2024-09-10T14:13:40.165876Z",
+     "shell.execute_reply": "2024-09-10T14:13:40.165510Z"
     }
    },
    "outputs": [
@@ -300,7 +300,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "859594a4",
+   "id": "2ee03e9d",
    "metadata": {},
    "source": [
     "Putting it all together, let’s loop over all sources in our model, then over each component in each source, then over each parameter in each component:"
@@ -309,13 +309,13 @@
   {
    "cell_type": "code",
    "execution_count": 9,
-   "id": "c1e2dc7b",
+   "id": "d09653f9",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:03.566119Z",
-     "iopub.status.busy": "2024-09-10T13:50:03.566017Z",
-     "iopub.status.idle": "2024-09-10T13:50:03.574622Z",
-     "shell.execute_reply": "2024-09-10T13:50:03.574231Z"
+     "iopub.execute_input": "2024-09-10T14:13:40.167760Z",
+     "iopub.status.busy": "2024-09-10T14:13:40.167660Z",
+     "iopub.status.idle": "2024-09-10T14:13:40.170522Z",
+     "shell.execute_reply": "2024-09-10T14:13:40.170166Z"
     }
    },
    "outputs": [
@@ -360,7 +360,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4b3c738c",
+   "id": "f3fb2c69",
    "metadata": {},
    "source": [
     "Let’s now plot the differential flux between 1 and 100 keV of all components from all sources:\n",
@@ -370,13 +370,13 @@
   {
    "cell_type": "code",
    "execution_count": 10,
-   "id": "a67f7bff",
+   "id": "d05e8b84",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:03.576517Z",
-     "iopub.status.busy": "2024-09-10T13:50:03.576419Z",
-     "iopub.status.idle": "2024-09-10T13:50:13.221734Z",
-     "shell.execute_reply": "2024-09-10T13:50:13.221253Z"
+     "iopub.execute_input": "2024-09-10T14:13:40.172468Z",
+     "iopub.status.busy": "2024-09-10T14:13:40.172338Z",
+     "iopub.status.idle": "2024-09-10T14:13:50.183889Z",
+     "shell.execute_reply": "2024-09-10T14:13:50.183462Z"
     }
    },
    "outputs": [
@@ -445,7 +445,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8b190624",
+   "id": "0c5343aa",
    "metadata": {},
    "source": [
     "## Getting the path of an element and using it programmatically\n",
@@ -456,13 +456,13 @@
   {
    "cell_type": "code",
    "execution_count": 11,
-   "id": "65cf8c8c",
+   "id": "9426ce25",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:13.223840Z",
-     "iopub.status.busy": "2024-09-10T13:50:13.223665Z",
-     "iopub.status.idle": "2024-09-10T13:50:13.226329Z",
-     "shell.execute_reply": "2024-09-10T13:50:13.225952Z"
+     "iopub.execute_input": "2024-09-10T14:13:50.186124Z",
+     "iopub.status.busy": "2024-09-10T14:13:50.185965Z",
+     "iopub.status.idle": "2024-09-10T14:13:50.194523Z",
+     "shell.execute_reply": "2024-09-10T14:13:50.194139Z"
     }
    },
    "outputs": [
@@ -494,7 +494,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8e74ddbd",
+   "id": "c7ccfd6d",
    "metadata": {},
    "source": [
     "If you have a path of an element in a string, you can use it to access the element by using the [] operator of the Model class like this:"
@@ -503,13 +503,13 @@
   {
    "cell_type": "code",
    "execution_count": 12,
-   "id": "11c3e717",
+   "id": "8ec25557",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:13.228548Z",
-     "iopub.status.busy": "2024-09-10T13:50:13.228380Z",
-     "iopub.status.idle": "2024-09-10T13:50:13.235555Z",
-     "shell.execute_reply": "2024-09-10T13:50:13.235120Z"
+     "iopub.execute_input": "2024-09-10T14:13:50.196531Z",
+     "iopub.status.busy": "2024-09-10T14:13:50.196425Z",
+     "iopub.status.idle": "2024-09-10T14:13:50.204192Z",
+     "shell.execute_reply": "2024-09-10T14:13:50.203813Z"
     }
    },
    "outputs": [
@@ -532,7 +532,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6e3b77ed",
+   "id": "5839fa4b",
    "metadata": {},
    "source": [
     "## Alternative way of accessing the information in the model\n",
@@ -543,13 +543,13 @@
   {
    "cell_type": "code",
    "execution_count": 13,
-   "id": "56973267",
+   "id": "d9bf546a",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:13.237531Z",
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-     "shell.execute_reply": "2024-09-10T13:50:13.246148Z"
+     "iopub.execute_input": "2024-09-10T14:13:50.206127Z",
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+     "iopub.status.idle": "2024-09-10T14:13:50.208693Z",
+     "shell.execute_reply": "2024-09-10T14:13:50.208335Z"
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    "outputs": [
@@ -584,7 +584,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a3006aa6",
+   "id": "78922fa6",
    "metadata": {},
    "source": [
     "Once you have the ID of a source, you can obtain information about it with these methods of the Model class:"
@@ -593,13 +593,13 @@
   {
    "cell_type": "code",
    "execution_count": 14,
-   "id": "7460059e",
+   "id": "8d5e61e0",
    "metadata": {
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-     "shell.execute_reply": "2024-09-10T13:50:13.255800Z"
+     "iopub.execute_input": "2024-09-10T14:13:50.210639Z",
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@@ -620,7 +620,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a222d021",
+   "id": "4f220653",
    "metadata": {},
    "source": [
     "Depending on your application you might find these methods more convenient that interrogating the sources directly. Note however that some features are not available through this interface. For example, it is not possible to get information about different components through these methods."
@@ -629,7 +629,7 @@
   {
    "cell_type": "code",
    "execution_count": null,
-   "id": "63756d47",
+   "id": "5f6d9803",
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diff --git a/notebooks/Asymm_Gaussian_on_sphere.ipynb b/notebooks/Asymm_Gaussian_on_sphere.ipynb
index caa1fb5f..88852bfc 100644
--- a/notebooks/Asymm_Gaussian_on_sphere.ipynb
+++ b/notebooks/Asymm_Gaussian_on_sphere.ipynb
@@ -2,13 +2,13 @@
  "cells": [
   {
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-   "id": "85a1b46e",
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@@ -20,20 +20,20 @@
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@@ -68,20 +68,20 @@
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@@ -96,19 +96,19 @@
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@@ -124,21 +124,21 @@
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@@ -155,14 +155,14 @@
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@@ -174,19 +174,19 @@
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@@ -389,14 +389,14 @@
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@@ -410,19 +410,19 @@
   {
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@@ -475,8 +475,8 @@
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    "environment_variables": {},
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    "input_path": "Asymm_Gaussian_on_sphere.ipynb",
@@ -484,7 +484,7 @@
    "parameters": {
     "func_name": "Asymm_Gaussian_on_sphere"
    },
-   "start_time": "2024-09-10T13:53:01.819605",
+   "start_time": "2024-09-10T14:16:43.612670",
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diff --git a/notebooks/Band.ipynb b/notebooks/Band.ipynb
index eb85a087..8e1d60e0 100644
--- a/notebooks/Band.ipynb
+++ b/notebooks/Band.ipynb
@@ -2,13 +2,13 @@
  "cells": [
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-   "id": "777199a7",
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@@ -20,20 +20,20 @@
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@@ -60,20 +60,20 @@
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@@ -95,19 +95,19 @@
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@@ -127,21 +127,21 @@
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@@ -170,14 +170,14 @@
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@@ -189,19 +189,19 @@
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@@ -404,13 +404,13 @@
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@@ -471,14 +471,14 @@
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@@ -537,13 +537,13 @@
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@@ -558,19 +558,19 @@
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diff --git a/notebooks/Band_Calderone.ipynb b/notebooks/Band_Calderone.ipynb
index 191b7774..11575ee4 100644
--- a/notebooks/Band_Calderone.ipynb
+++ b/notebooks/Band_Calderone.ipynb
@@ -2,13 +2,13 @@
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@@ -20,20 +20,20 @@
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@@ -60,20 +60,20 @@
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@@ -127,21 +127,21 @@
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@@ -536,14 +536,14 @@
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@@ -558,19 +558,19 @@
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@@ -602,13 +602,13 @@
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@@ -623,19 +623,19 @@
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diff --git a/notebooks/Band_grbm.ipynb b/notebooks/Band_grbm.ipynb
index e8ad1038..fe28bb2a 100644
--- a/notebooks/Band_grbm.ipynb
+++ b/notebooks/Band_grbm.ipynb
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@@ -20,20 +20,20 @@
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@@ -60,20 +60,20 @@
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+   "id": "ebcd1791",
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@@ -95,19 +95,19 @@
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@@ -127,21 +127,21 @@
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@@ -170,14 +170,14 @@
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@@ -189,19 +189,19 @@
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@@ -401,13 +401,13 @@
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@@ -423,19 +423,19 @@
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@@ -468,14 +468,14 @@
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@@ -490,19 +490,19 @@
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@@ -534,13 +534,13 @@
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@@ -555,19 +555,19 @@
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@@ -620,8 +620,8 @@
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@@ -633,7 +633,7 @@
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     "y_scale": "log"
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-   "start_time": "2024-09-10T13:52:39.548308",
+   "start_time": "2024-09-10T14:16:15.733615",
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diff --git a/notebooks/Beta.ipynb b/notebooks/Beta.ipynb
index 0f899a49..f62682a1 100644
--- a/notebooks/Beta.ipynb
+++ b/notebooks/Beta.ipynb
@@ -2,13 +2,13 @@
  "cells": [
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-   "id": "03c642d2",
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@@ -20,20 +20,20 @@
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@@ -60,20 +60,20 @@
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@@ -90,19 +90,19 @@
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@@ -119,21 +119,21 @@
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@@ -160,14 +160,14 @@
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@@ -179,19 +179,19 @@
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-     "iopub.status.idle": "2024-09-10T13:53:33.940858Z",
-     "shell.execute_reply": "2024-09-10T13:53:33.940374Z"
+     "iopub.execute_input": "2024-09-10T14:17:17.597485Z",
+     "iopub.status.busy": "2024-09-10T14:17:17.597338Z",
+     "iopub.status.idle": "2024-09-10T14:17:17.601260Z",
+     "shell.execute_reply": "2024-09-10T14:17:17.600773Z"
     },
     "papermill": {
-     "duration": 0.00647,
-     "end_time": "2024-09-10T13:53:33.942174",
+     "duration": 0.006814,
+     "end_time": "2024-09-10T14:17:17.602625",
      "exception": false,
-     "start_time": "2024-09-10T13:53:33.935704",
+     "start_time": "2024-09-10T14:17:17.595811",
      "status": "completed"
     },
     "tags": []
@@ -295,13 +295,13 @@
   },
   {
    "cell_type": "markdown",
-   "id": "82420d25",
+   "id": "2e01a9bb",
    "metadata": {
     "papermill": {
-     "duration": 0.001075,
-     "end_time": "2024-09-10T13:53:33.944360",
+     "duration": 0.001543,
+     "end_time": "2024-09-10T14:17:17.605484",
      "exception": false,
-     "start_time": "2024-09-10T13:53:33.943285",
+     "start_time": "2024-09-10T14:17:17.603941",
      "status": "completed"
     },
     "tags": []
@@ -317,19 +317,19 @@
   {
    "cell_type": "code",
    "execution_count": 6,
-   "id": "1a8a2cc8",
+   "id": "eda7458e",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:53:33.947092Z",
-     "iopub.status.busy": "2024-09-10T13:53:33.946947Z",
-     "iopub.status.idle": "2024-09-10T13:53:34.045788Z",
-     "shell.execute_reply": "2024-09-10T13:53:34.044857Z"
+     "iopub.execute_input": "2024-09-10T14:17:17.608575Z",
+     "iopub.status.busy": "2024-09-10T14:17:17.608411Z",
+     "iopub.status.idle": "2024-09-10T14:17:17.714576Z",
+     "shell.execute_reply": "2024-09-10T14:17:17.714093Z"
     },
     "papermill": {
-     "duration": 0.101745,
-     "end_time": "2024-09-10T13:53:34.047112",
+     "duration": 0.109252,
+     "end_time": "2024-09-10T14:17:17.715890",
      "exception": false,
-     "start_time": "2024-09-10T13:53:33.945367",
+     "start_time": "2024-09-10T14:17:17.606638",
      "status": "completed"
     },
     "tags": [
@@ -370,13 +370,13 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b4e986d6",
+   "id": "9b6d41c6",
    "metadata": {
     "papermill": {
-     "duration": 0.001384,
-     "end_time": "2024-09-10T13:53:34.050116",
+     "duration": 0.001459,
+     "end_time": "2024-09-10T14:17:17.719043",
      "exception": false,
-     "start_time": "2024-09-10T13:53:34.048732",
+     "start_time": "2024-09-10T14:17:17.717584",
      "status": "completed"
     },
     "tags": []
@@ -390,19 +390,19 @@
   {
    "cell_type": "code",
    "execution_count": 7,
-   "id": "3acd3c98",
+   "id": "2bd63132",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:53:34.053567Z",
-     "iopub.status.busy": "2024-09-10T13:53:34.053423Z",
-     "iopub.status.idle": "2024-09-10T13:53:34.386746Z",
-     "shell.execute_reply": "2024-09-10T13:53:34.386338Z"
+     "iopub.execute_input": "2024-09-10T14:17:17.722441Z",
+     "iopub.status.busy": "2024-09-10T14:17:17.722292Z",
+     "iopub.status.idle": "2024-09-10T14:17:18.073880Z",
+     "shell.execute_reply": "2024-09-10T14:17:18.073539Z"
     },
     "papermill": {
-     "duration": 0.336607,
-     "end_time": "2024-09-10T13:53:34.388030",
+     "duration": 0.354971,
+     "end_time": "2024-09-10T14:17:18.075331",
      "exception": false,
-     "start_time": "2024-09-10T13:53:34.051423",
+     "start_time": "2024-09-10T14:17:17.720360",
      "status": "completed"
     },
     "tags": []
@@ -420,7 +420,7 @@
     },
     {
      "data": {
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",
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",
       "text/plain": [
        "
"
       ]
@@ -471,8 +471,8 @@
   },
   "papermill": {
    "default_parameters": {},
-   "duration": 2.784256,
-   "end_time": "2024-09-10T13:53:34.722783",
+   "duration": 3.229909,
+   "end_time": "2024-09-10T14:17:18.507313",
    "environment_variables": {},
    "exception": null,
    "input_path": "Beta.ipynb",
@@ -481,7 +481,7 @@
     "func_name": "Beta",
     "positive_prior": true
    },
-   "start_time": "2024-09-10T13:53:31.938527",
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diff --git a/notebooks/Blackbody.ipynb b/notebooks/Blackbody.ipynb
index b9ead7fb..4798a2d8 100644
--- a/notebooks/Blackbody.ipynb
+++ b/notebooks/Blackbody.ipynb
@@ -2,13 +2,13 @@
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@@ -20,20 +20,20 @@
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@@ -60,20 +60,20 @@
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@@ -95,19 +95,19 @@
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@@ -127,21 +127,21 @@
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@@ -170,14 +170,14 @@
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@@ -189,19 +189,19 @@
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@@ -305,13 +305,13 @@
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@@ -327,19 +327,19 @@
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@@ -372,14 +372,14 @@
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@@ -394,19 +394,19 @@
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@@ -438,13 +438,13 @@
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@@ -459,19 +459,19 @@
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@@ -524,8 +524,8 @@
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@@ -537,7 +537,7 @@
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+   "start_time": "2024-09-10T14:14:27.160747",
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diff --git a/notebooks/Broken_powerlaw.ipynb b/notebooks/Broken_powerlaw.ipynb
index a934d104..188977ab 100644
--- a/notebooks/Broken_powerlaw.ipynb
+++ b/notebooks/Broken_powerlaw.ipynb
@@ -2,13 +2,13 @@
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@@ -20,20 +20,20 @@
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@@ -60,20 +60,20 @@
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@@ -95,19 +95,19 @@
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@@ -127,21 +127,21 @@
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@@ -170,14 +170,14 @@
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@@ -189,19 +189,19 @@
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@@ -402,13 +402,13 @@
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@@ -424,19 +424,19 @@
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@@ -469,14 +469,14 @@
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@@ -491,19 +491,19 @@
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@@ -535,13 +535,13 @@
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@@ -556,19 +556,19 @@
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@@ -621,8 +621,8 @@
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@@ -634,7 +634,7 @@
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diff --git a/notebooks/Cauchy.ipynb b/notebooks/Cauchy.ipynb
index 787934b1..bcbe62e7 100644
--- a/notebooks/Cauchy.ipynb
+++ b/notebooks/Cauchy.ipynb
@@ -2,13 +2,13 @@
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@@ -20,20 +20,20 @@
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@@ -60,20 +60,20 @@
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@@ -90,19 +90,19 @@
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@@ -119,21 +119,21 @@
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@@ -160,14 +160,14 @@
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@@ -179,19 +179,19 @@
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@@ -328,13 +328,13 @@
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@@ -350,19 +350,19 @@
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@@ -403,13 +403,13 @@
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@@ -423,19 +423,19 @@
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@@ -453,7 +453,7 @@
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BAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKVfcg3LRpU+bMmZMJEyakra0t8+fPT0dHR5KkqqrcdtttmT59eiZOnJhLL70027Zt6/P85cuX59RTT82ECRMye/bsPP/8833mK1asyCc+8YmMHz8+n/70p7N27doDdWoAAAD9Wl2DsKqqXHLJJenp6ck999yTW265JU8//XTmz5+fJFm2bFkeeOCBLFq0KPfee2927dqVSy65pPb8FStW5Oabb868efPy4IMPZvjw4ZkzZ0527dqVJFm7dm0uv/zyfPazn81DDz2UyZMn56KLLsqWLVvqcr4AAAD9SV2D8JlnnslPf/rTLF68OBMmTMi0adPypS99KatWrcquXbty991357LLLsusWbNy0kknZdGiRVm3bl2eeeaZJL8IxvPPPz9nn312xo4dm4ULF2b79u157LHHkiR33313Pvaxj+WCCy7I6NGj86UvfSmHH354/vZv/7aOZw0AANA/1DUIu7q6cvLJJ2fUqFG1tYMOOii9vb1Zv359tm3blhkzZtRmzc3NGTlyZFavXp3Ozs6sX7++z3zIkCFpaWnJ6tWrkyRr1qzpMx8wYEBaW1trcwAAgJINqucPnzZtWqZNm1b7+/bt2/PVr341ra2teeWVVzJw4MCMGDGiz3OGDx+ejo6OvPDCC+nt7e0Tk/9+3tnZmZdffvmXzn/yk5+8eycFAADwHlHXIPz3zjnnnPz4xz/OQQcdlK985SvZunVrBg8enIED+97EbGhoSFdXV7q6upL84q7gf5x3dHS85fyN2b5oa2vb62zevHk57rjj9vnYAAAAB1Ldv2X0DUuXLs29996b0047LXPnzs2rr76a7u7u9Pb29nlcd3d3Ghsb09jYmCTZuXNnn3lPT08aGxtz2GGHveUcAACgdHW9Q/jss8+mq6srkydPzqhRozJq1KicfPLJmTx5cjo7O1NVVTZv3pzm5ubaczZv3pzTTz89w4YNS5K0t7dn5MiRtXl7e3tOOOGENDQ05NBDD017e3ufn9ne3t7neL+uxx9/fK+zDRs2vKO7jwAAAAdSXe8Qfve7383//J//M1VV1db27NmT3t7eHHvssRk2bFhWrlxZm23atCkbN25MW1tbDj/88LS0tPQJtM7Ozqxbt672ts4ZM2b0mb/++utZvXr1W77tEwAAoBR1vUN45pln5s4778y1116bT33qU9m9e3fuuuuu/Kf/9J/S1taWc889N0uXLk1TU1OGDBmSxYsXZ+bMmTnmmGOSJOedd14WLlyYMWPG5Kijjsrtt9+eY489NlOnTq3NZ8+enUmTJmXcuHG55557snv37pxxxhn1PG0AAIB+oa5BeMwxx2TZsmW59dZbM3v27DQ0NGTy5Mm55557MnTo0MydOzc7d+7M/Pnzs3v37sycOTMLFiyoPf/ss8/O9u3bs2TJkrz66quZMmVK7rzzztoX0bS2tmbx4sW54447smXLlrS0tORrX/tahg4dWqczBgAA6D8GVP/+/Zq8I298hnDo0KEZO3ZsvbfznjXzhbv36XnfG/n5/bwTAAB47/l1uqTffMsoAAAAB5YgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKJQgBAAAKNSgX/WBn/vc537lgw4YMCBf//rX92lDAAAAHBi/chDu3r07AwYMeMvHbN68OT/72c/e9nEAAADU368chA888MBeZ6+//nqWLVuWv/zLv8wRRxyRK6+8cr9sDgAAgHfPrxyEe/P000/n2muvzU9/+tOceeaZueqqq3LEEUfsj70BAADwLtrnIOzs7Myf/dmf5cEHH0xzc3O++tWvZvr06ftzbwAAALyL9ikIH3nkkdx4443p6OjIBRdckHnz5mXIkCH7e28AAAC8i36tIGxvb8/ChQvz2GOP5YQTTshf/dVf5cQTT3y39gYAAMC76FcOwrvvvjt33HFHqqrK/PnzM3v27Awc6NcYAgAAvFf9ykH4J3/yJxkwYECam5vz3e9+N9/97nf3+tgBAwbkvvvu2y8bBAAA4N3xKwdha2vru7kPAAAADrBfOQjvvffed3MfAAAAHGA+BAgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFCougdhR0dHvvjFL6a1tTUtLS05//zz8+yzzyZJqqrKbbfdlunTp2fixIm59NJLs23btj7PX758eU499dRMmDAhs2fPzvPPP99nvmLFinziE5/I+PHj8+lPfzpr1649UKcGAADQr9U9COfNm5d//dd/zf/+3/879913XxobG/OFL3whO3fuzLJly/LAAw9k0aJFuffee7Nr165ccsklteeuWLEiN998c+bNm5cHH3www4cPz5w5c7Jr164kydq1a3P55Zfns5/9bB566KFMnjw5F110UbZs2VKv0wUAAOg36hqEzz//fJ544oksWrQoU6ZMSUtLS2655Za8/PLLefTRR3P33Xfnsssuy6xZs3LSSSdl0aJFWbduXZ555pkkybJly3L++efn7LPPztixY7Nw4cJs3749jz32WJLk7rvvzsc+9rFccMEFGT16dL70pS/l8MMPz9/+7d/W8awBAAD6h7oG4UsvvZThw4fn+OOPr60NHTo0hxxySF588cVs27YtM2bMqM2am5szcuTIrF69Op2dnVm/fn2f+ZAhQ9LS0pLVq1cnSdasWdNnPmDAgLS2ttbmAAAAJatrEE6dOjU//OEPM3jw4Nra3//932fHjh0ZPXp0Bg4cmBEjRvR5zvDhw9PR0ZEXXnghvb29GTVq1C+dd3Z25uWXX97rHAAAoHSD6r2BN+zZsyfLli3LHXfckdNOOy1dXV0ZPHhwBg7s26wNDQ3p6upKV1dXkl/cFfyP846OjrecvzHbF21tbXudzZs3L8cdd9w+HxsAAOBAqvuXyiTJ+vXr87u/+7u57bbbMnv27Pz5n/95Ghsb093dnd7e3j6P7e7uTmNjYxobG5MkO3fu7DPv6elJY2NjDjvssLecAwAAlK7udwi///3vZ968eTn++OPzzW9+M2PHjk2SNDU1paqqbN68Oc3NzbXHb968OaeffnqGDRuWJGlvb8/IkSNr8/b29pxwwglpaGjIoYcemvb29j4/r729vc/xfl2PP/74XmcbNmx4R3cfAQAADqS63iHs7OzMlVdemVmzZmX58uW1GEySsWPHZtiwYVm5cmVtbdOmTdm4cWPa2tpy+OGHp6WlpU+gdXZ2Zt26dbW3dc6YMaPP/PXXX8/q1avf8m2fAAAApajrHcJVq1alq6srF110UV588cU+sw9+8IM599xzs3Tp0jQ1NWXIkCFZvHhxZs6cmWOOOSZJct5552XhwoUZM2ZMjjrqqNx+++059thjM3Xq1Np89uzZmTRpUsaNG5d77rknu3fvzhlnnHHAzxUAAKC/qWsQbty4Mbt3785//+///U2zSy+9NJdcckl27tyZ+fPnZ/fu3Zk5c2YWLFhQe8zZZ5+d7du3Z8mSJXn11VczZcqU3HnnnbUvomltbc3ixYtzxx13ZMuWLWlpacnXvva1DB069ECdIgAAQL81oKqqqt6beL944zOEQ4cO7fP2V349M1+4e5+e972Rn9/POwEAgPeeX6dL+sW3jAIAAHDgCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBCCUIAAIBC9Zsg3L59e0444YRs3769ttbT05PrrrsuU6ZMSWtra66++up0dXXV5lVV5bbbbsv06dMzceLEXHrppdm2bVuf4y5fvjynnnpqJkyYkNmzZ+f5558/YOcEAADQn/WLINyyZUtuvPHGvP76633WlyxZklWrVmXp0qW56667smHDhlxzzTW1+bJly/LAAw9k0aJFuffee7Nr165ccskltfmKFSty8803Z968eXnwwQczfPjwzJkzJ7t27Tpg5wYAANBf1T0I/9f/+l+ZMWNG/u7v/q7P+o4dO/LQQw/lj//4jzNt2rRMnDgxV111VR555JF0dHSkqqrcfffdueyyyzJr1qycdNJJWbRoUdatW5dnnnkmyS+C8fzzz8/ZZ5+dsWPHZuHChdm+fXsee+yxOpwpAABA/1L3IJw7d24efvjh3HDDDX3Wn3rqqSTJtGnTamvjx4/PoEGDsmbNmjz33HPZtm1bZsyYUZs3Nzdn5MiRWb16dTo7O7N+/fo+8yFDhqSlpSWrV69+l88KAACg/xtU7w00Nzenubk5O3bs6LO+cePGNDU1ZfDgwbW1wYMH58gjj0xHR0cOPvjgDBw4MCNGjOjzvOHDh6ejoyMvvPBCent7M2rUqF86BwAAKF3dg3Bvurq6MmTIkDetNzQ0pKurK11dXRk8eHAGDhy413mSNx2joaHhHQVhW1vbXmfz5s3Lcccdt8/HBgAAOJDq/pbRvWlsbPylX/7S3d2dxsbGNDY2pru7O729vXudJ8nOnTv7zHt6emozAACAkvXbO4RNTU3ZunVrenp6am8b3bNnT7Zu3ZoRI0Zk2LBhqaoqmzdvTnNzc+15mzdvzumnn55hw4YlSdrb2zNy5MjavL29PSeccMI+7+vxxx/f62zDhg19fi0GAABAf9Zv7xBOmTIlVVXlySefrK098cQTqaoqra2tGTt2bIYNG5aVK1fW5ps2bcrGjRvT1taWww8/PC0tLX0CrrOzM+vWrXvLt30CAACUot/eIWxsbMxZZ52V66+/PosWLcprr72WBQsW5DOf+UwaGhqSJOeee26WLl2apqamDBkyJIsXL87MmTNzzDHHJEnOO++8LFy4MGPGjMlRRx2V22+/Pccee2ymTp1az1MDAADoF/ptECbJtddemxtvvDFz587NoEGDcuaZZ+aKK66ozefOnZudO3dm/vz52b17d2bOnJkFCxbU5meffXa2b9+eJUuW5NVXX82UKVNy5513vumLaAAAAEo0oKqqqt6beL944zOEQ4cOzdixY+u9nfesmS/cvU/P+97Iz+/nnQAAwHvPr9MlbpUBAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUShACAAAUalC9N/Bu6+npyY033ph/+Id/SG9vb0477bRcc801GTp0aL239r4284W7670FAADgbbzv7xAuWbIkq1atytKlS3PXXXdlw4YNueaaa+q9LQAAgLp7X98h3LFjRx566KH8xV/8RaZNm5Ykueqqq/K5z30uHR0d+dCHPlTnHQIAANTP+/oO4VNPPZUktRhMkvHjx2fQoEFZs2ZNvbYFAADQL7yv7xBu3LgxTU1NGTx4cG1t8ODBOfLII9PR0bFPx2xra9vr7Prrr09jY2N27tyZDRs27NPx3y8u6fnwAf+Z39j+w31+7kmDm/bjTgAAoH527tyZJOnu7n7bx76vg7CrqytDhgx503pDQ0O6urr2+897Izx7e3vfleO/l/xG3ltf2tO1u+x/XwAAvP/09va+7WPe10HY2NiYXbt2vWm9u7s7jY2N+3TMxx9/fK+z9evXp6enJwMHDszBBx+8T8fn//fMM88kScaNG1fnnVAi1x/15Pqjnlx/1Jtr8J3r7u5Ob29vn3dK7s37OgibmpqydevW9PT01P5h7NmzJ1u3bs2IESP2+8878cQT9/sxS3bRRRcleesIh3eL6496cv1RT64/6s01eGC9r79UZsqUKamqKk8++WRt7YknnkhVVWltba3jzgAAAOrvfR2EjY2NOeuss3L99dfniSeeyA9+8INcffXV+cxnPpOGhoZ6bw8AAKCu3tdvGU2Sa6+9NjfeeGPmzp2bQYMG5cwzz8wVV1xR720BAADU3fs+CA855JDccMMNueGGG+q9FQAAgH7lff2WUQAAAPZuQFVVVb03AQAAwIHnDiEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCH9Tk9PT6677rpMmTIlra2tufrqq9PV1VXvbfEe1dHRkS9+8YtpbW1NS0tLzj///Dz77LNJkqqqctttt2X69OmZOHFiLr300mzbtq3P85cvX55TTz01EyZMyOzZs/P888/3ma9YsSKf+MQnMn78+Hz605/O2rVrD9Sp8R7z8MMPZ8yYMdm+fXuSt3+t2x/XJyTJl7/85fz2b/92xo0bl9/7vd/L008/ncRrIO++rq6uXHvttZk+fXqmTZuWq666Kjt27Eji+utXKuhnFixYUH3sYx+rVq1aVT311FPV7/7u71bz5s2r97Z4jzrvvPOqs846q1q9enW1bt266g/+4A+qtra26rXXXqu+8pWvVFOmTKm+853vVM8880w1Z86c6vd///drz/32t79dtbS0VH/zN39TPfvss9X8+fOrU089tdq5c2dVVVX1T//0T9WJJ55Y3XPPPdVPfvKT6uabb65OPvnk6qWXXqrX6dJPbd68uZo8eXI1evToqqOjo6qqt3+te6fXJ1RVVS1btqxqbW2tvv3tb1dPP/10dfHFF1ennnpq1dPT4zWQd93ll19e/bf/9t+qJ554olq1alX18Y9/vPrDP/zDqqre+Wuc62//EYT0Kz//+c+rE088sXrsscdqa//4j/9YjR07ttq2bVsdd8Z70b/9279Vo0ePrtauXVtb6+zsrE488cTq//7f/1v9l//yX6rly5fXZi+++GI1evTo6umnn66qqqrOOeec6uabb67Nd+7cWY0fP75asWJFVVVVddlll/X5H/C9vb3VrFmzqq9+9avv8pnxXjNnzpzqf/yP/1ELwrd7revt7X3H1yd0d3dXp5xySp/rqKOjo5o6dWr17LPPeg3kXdXd3V2dcMIJ1aOPPlpbe+SRR6qxY8dWXV1drr9+xFtG6VeeeuqpJMm0adNqa+PHj8+gQYOyZs2aem2L96iXXnopw4cPz/HHH19bGzp0aA455JC8+OKL2bZtW2bMmFGbNTc3Z+TIkVm9enU6Ozuzfv36PvMhQ4akpaUlq1evTpKsWbOmz3zAgAFpbW2tzSFJ/vqv/zpbt27NxRdfXFt7u9e655577h1fn/DjH/84r7zySv7rf/2vtbUjjzwyP/rRj/KBD3zAayDvqq6uruzZsycNDQ21tYMPPji9vb159tlnXX/9iCCkX9m4cWOampoyePDg2trgwYNz5JFHpqOjo447471o6tSp+eEPf9jnevr7v//77NixI6NHj87AgQMzYsSIPs8ZPnx4Ojo68sILL6S3tzejRo36pfPOzs68/PLLe51Dkrz44ou59dZbc9NNN2XQoEG19bd7rdu4ceM7uj4hSf7lX/4lhx56aH7wgx/kk5/8ZKZMmZIvfOELee65597xNeY1kLdzxBFHZNy4cfnyl7+c7du3Z/v27fnyl7+cyZMn55VXXnH99SOCkH6lq6srQ4YMedN6Q0ODL5bhHdmzZ0++/OUv54orrshpp52Wrq6uDB48OAMH9n0ZfONae+N6+4/X4686h6qqcvXVV+f888/vc5c6efvXund6fUKS/PznP093d3e+8pWv5Kqrrspf/MVfZODAgZk9e7bXQA6IBQsWZO3atZk2bVqmTZuWdevW5Ytf/KLrr58Z9PYPgQOnsbExu3btetN6d3d3Ghsb67Aj3g/Wr1+fK6+8Mv/6r/+aCy+8MPPmzcvKlSvT3d2d3t7ePv9BeuNae+N627lzZ59j9fT0pLGxMYcddthbzuH+++/PK6+8krlz575p9navdY2Nje/o+oQk6e3tze7du3PTTTflxBNPTJKMHj06bW1tSeI1kHfV1q1bM3fu3LS1teXCCy9Mkvyf//N/Mnfu3Fx77bWuv37EHUL6laampmzdujU9PT21tT179mTr1q1velsB/Cq+//3v59xzz01DQ0O++c1v5ktf+lIOOuigNDU1paqqbN68uc/jN2/enObm5gwbNixJ0t7e3mfe3t6e5ubmNDQ05NBDD93rHFauXJnnnnsukyZNyrhx4zJnzpwkyUc/+tF8/etff8vXund6fUKSfOhDH0qSfPjDH66tNTY2pqmpKVu2bPEayLvqH/7hH9LZ2Zk///M/z8knn5yTTz45t956awYMGJBNmza5/voRQUi/MmXKlFRVlSeffLK29sQTT6SqqrS2ttZxZ7wXdXZ25sorr8ysWbOyfPnyjB07tjYbO3Zshg0blpUrV9bWNm3alI0bN6atrS2HH354Wlpa8vjjj/c53rp162r/7/qMGTP6zF9//fWsXr26Nqds1113Xb71rW/l4YcfzsMPP5wbbrghSXLvvffmgQceeMvXuv1xfcKECROSJP/8z/9cW/v5z3+el156Kb/5m7/pNZB31euvv54BAwb0WfvABz6QD3zgA2lqanL99SPeMkq/0tjYmLPOOivXX399Fi1alNdeey0LFizIZz7zmT7fUgW/ilWrVqWrqysXXXRRXnzxxT6zD37wgzn33HOzdOnSNDU1ZciQIVm8eHFmzpyZY445Jkly3nnnZeHChRkzZkyOOuqo3H777Tn22GMzderU2nz27Nm1O0D33HNPdu/enTPOOOOAnyv9z/DhwzN8+PDa39/4hctHH310jjzyyLd9rXun1yf81m/9Vn77t387V199da6++uocfvjh+cu//Mscd9xx+chHPuI1kHfVrFmzsnTp0vzRH/1R5syZk0GDBuX+++9PVVWZOXNmtmzZ4vrrL+r1+y5gb1577bXqmmuuqSZNmlSdcsop1fXXX1/19PTUe1u8B33lK1+pRo8e/Uv/3H777dWePXuqW265pTrllFOqiRMnVn/0R39Uvfrqq32OsWzZsqqtra0aP3589YUvfKHavHlzn/nDDz9czZo1qxo3blx13nnnVf/yL/9yIE+R95DVq1f3+cX0b/datz+uT+jq6qquvfbaavLkydWECROquXPnVj/72c+qqto/15jXQN7K+vXrq4svvrg65ZRTqtbW1urCCy+sNmzYUFWV668/GVBVVVXvKAUAAODA8xlCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAOgH1qxZkzFjxmTVqlX13goABRGEAAAAhRKEAAAAhRKEAPAOXXjhhWltbc3u3bv7rF911VWZPHlyuru78+ijj+b3f//3M3HixEyZMiWf//zn8+STT+71mFdeeWU+8pGP9Fl74YUXMmbMmDz00EO1tZ07d+amm27KRz7ykbS0tORTn/pUvve97+3fEwTgfUsQAsA7dOaZZ2bHjh35x3/8x9ra7t27893vfjenn356nn322Vx22WU5+uijs2TJklx55ZV5+eWXM2fOnLzyyiv7/HNff/31XHzxxfmbv/mbXHjhhfnTP/3THH300fmDP/iDfPvb394PZwbA+92gem8AAN7rTjvttCxYsCCPPvpopk+fniT50Y9+lJ///Of5nd/5nfz0pz/NpEmT8qd/+qcZMGBAkuQ//+f/nNmzZ+cnP/lJpkyZsk8/d8WKFVmzZk0efPDBTJw4MUny8Y9/PC+//HKWLl2aM844Y/+cIADvW+4QAsA7dOihh2bmzJn5zne+k6qqkiSPPPJIRowYkcmTJ+dTn/pUli9fns7Ozvz4xz/OI488kgceeCDJL+7y7asf/OAHGT58eEaPHp2urq7an4985CP5f//v/6Wjo2O/nB8A71/uEALAfnDWWWfl29/+dtauXZtx48blO9/5Ts4999wMGDAgmzZtyrXXXps1a9bkyCOPzDHHHJOjjjrq1/4Zb8TmG7Zt25aXXnopkyZN+qWPf/nll/OhD31on84HgDIIQgDYD9ra2nLEEUfk0UcfTVdXV1555ZX8zu/8TpLkiiuuSEdHRx555JEcffTRSZJVq1bl7/7u7/Z6vDfeWvrv/cfPGx522GG1zyX+Ms3Nzft4NgCUQhACwH5w0EEH5ZOf/GS+853v5NVXX01LS0t+4zd+I0ny7LPP5pxzzqnFYJK3/QX0DQ0N6erqSlVVtTh84okn+jzmlFNOyWOPPZajjz46TU1NtfW77rorP/rRj7Js2bL9dXoAvE8JQgDYT84888zcf//92bx5c6644ora+rhx4/Ktb30rv/mbv5kPfvCD+f73v59/+qd/SvKLL58ZO3bsm4518skn57777stf/dVf5Zxzzsk///M/5+tf/3qfx5xzzjm5//77c+GFF+aCCy7IoYcempUrV+Yb3/hGrrrqqgwc6KsCAHhr/ksBAPvJpEmTMmrUqPT29uaTn/xkbX3JkiUZN25c/uRP/iSLFy/OkUcemW9+85uZPn16vv71r2fTpk1vOtYnP/nJzJ07N/fdd18+/vGP56677spNN93U5zGHHHJI7rvvvpx00km55ZZbcsUVV+Tpp5/ODTfckAsuuOBdP18A3vsGVP/xE+oAAAAUwR1CAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQv1/Nsuev9sqIcEAAAAASUVORK5CYII=",
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AQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQglCAACAQvWZINy6dWuOP/74bN269W0/p1Kp5MYbb8z48eMzatSozJgxI1u2bOm1z5IlSzJp0qSceOKJmTZtWtauXbu7lw4AAPCe1CeCcNOmTbnuuuuyY8eOXtsXL16cESNG9HqccsopPfOFCxfmjjvuyNy5c3P77bdn+/btueSSS3rmy5Yty/z589Pc3JylS5emvr4+F110UbZv377Hzg0AAKCvGlDtBXz961/PP//zP7/h7JlnnsmnP/3pnH/++T3b9tlnnySv3h1ctGhRLr300kyZMiVJMnfu3EyaNClPPfVURowYkYULF+bcc8/N1KlTkyRz5szJuHHjsnz58px66qnv7okBAAD0cVW/Qzh9+vTcddddufbaa183W7t2bcaMGZOjjjqq53HYYYcleTUWt2zZkokTJ/bs39DQkGHDhmXlypVpbW3N6tWre80HDhyYxsbGrFy58t0/MQAAgD6u6ncIGxoa0tDQkJdeeul1s7Vr12bZsmW5+eabs3379owbNy6XXXZZhgwZknXr1qV///4ZOnRor+fU19enpaUl69evT3d3dw499NA3nO+qCRMm7HTW3NycI488cpePDQAAsCdV/Q7hzrS1teWFF15ITU1Nvv3tb2fevHl59tlnc8EFF6SjoyNtbW2pqalJ//69T6G2tjZtbW1pa2tL8updwTeaAwAAlK7qdwh3Zt99983999+fhoaG9OvXL0ly9NFH52Mf+1hWrFiRurq6dHR0pLu7u1cUdnR0pK6uLnV1dUmS9vb2Xsft7Ozsme2KFStW7HS2Zs0asQkAALxn9Nk7hAMGDMjQoUN7YjB59eOeBx10UDZv3pwhQ4akUqlk48aNvZ63cePGNDQ0ZPDgwUmSDRs29Jpv2LAhDQ0N7/4JAAAA9HF9NgjvuuuuTJkyJV1dXT3bnnvuuWzbti1HH310hg8fnsGDB+fBBx/sNV+3bl0mTJiQAw88MI2Njb3u6LW2tuaJJ5540+8BAgAAlKLPBmFTU1NefPHFzJw5M4899lgefvjhNDc3Z/To0TnppJPSv3//nH322VmwYEEeeOCBrFq1KjNmzMjkyZNz+OGHJ0nOOeec/PjHP87dd9+dxx57LF/+8pdzxBFHZNy4cVU+OwAAgOrrs98hPOSQQ3LbbbflhhtuyIUXXpiamppMmDAhV155Zc8+06dPT3t7e2bOnJmurq5Mnjw5s2fP7plPnTo1W7duzbx58/Lyyy+nqakpt9xyy+t+iAYAAKBE/SqVSqXai9hbvPajMoMGDcrw4cOrvRzegcnrF+3x17x/2AV7/DUBANj7vZMucasMAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUAPe7o7nnXfe2z5ov3798qMf/WiXFgQAAMCe8baDsKurK/369XvTfTZu3Jj//u//fsv9AAAAqL63HYR33HHHTmc7duzIwoUL873vfS8HHXRQLr/88t2yOAAAAN49bzsId+bJJ5/MVVddlT/84Q8544wzcsUVV+Sggw7aHWsDAADgXbTLQdja2pp/+Id/yNKlS9PQ0JAf/OAHGT9+/O5cGwAAAO+iXQrCe+65J9ddd11aWlpy/vnnp7m5OQMHDtzdawMAAOBd9I6CcMOGDZkzZ06WL1+e448/Pt///vdzwgknvFtrAwAA4F30toNw0aJFufnmm1OpVDJz5sxMmzYt/fv7awwBAADeq952EH7zm99Mv3790tDQkF/+8pf55S9/udN9+/Xrl8WLF++WBQIAAPDueNtBOHbs2HdzHQAAAOxhbzsIb7/99ndzHQAAAOxhvgQIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQqD4ThFu3bs3xxx+frVu39mzr7OzM1VdfnaampowdOzZXXnll2traeuaVSiU33nhjxo8fn1GjRmXGjBnZsmVLr+MuWbIkkyZNyoknnphp06Zl7dq1e+ycAAAA+rI+EYSbNm3Kddddlx07dvTaPm/evDz00ENZsGBBbr311qxZsyZf+9rXeuYLFy7MHXfckblz5+b222/P9u3bc8kll/TMly1blvnz56e5uTlLly5NfX19Lrroomzfvn2PnRsAAEBfVfUg/PrXv56JEyfm5z//ea/tL730Uu688878/d//fU4++eSMGjUqV1xxRe655560tLSkUqlk0aJFufTSSzNlypR8+MMfzty5c/PEE0/kqaeeSvJqMJ577rmZOnVqhg8fnjlz5mTr1q1Zvnx5Fc4UAACgb6l6EE6fPj133XVXrr322l7bf/vb3yZJTj755J5tI0eOzIABA7Jq1ao888wz2bJlSyZOnNgzb2hoyLBhw7Jy5cq0trZm9erVveYDBw5MY2NjVq5c+S6fFQAAQN83oNoLaGhoSENDQ1566aVe29etW5chQ4akpqamZ1tNTU0OPvjgtLS0ZN99903//v0zdOjQXs+rr69PS0tL1q9fn+7u7hx66KFvON9VEyZM2Omsubk5Rx555C4fGwAAYE+q+h3CnWlra8vAgQNft722tjZtbW1pa2tLTU1N+vfvv9N5ktcd47U5AABA6ap+h3Bn6urq3vDHXzo6OlJXV5e6urp0dHSku7u7VxT+z3mStLe393p+Z2dnz2xXrFixYqezNWvWiE0AAOA9o8/eIRwyZEg2b96czs7Onm2vvPJKNm/enKFDh2bIkCGpVCrZuHFjr+dt3LgxDQ0NGTx4cJJkw4YNveYbNmxIQ0PDu38CAAAAfVyfDcKmpqZUKpU8+uijPdseeeSRVCqVjB07NsOHD8/gwYPz4IMP9syfe+65rFu3LhMmTMiBBx6YxsbGXnf0Wltb88QTT7zp9wABAABK0ac/MnrmmWfmmmuuydy5c/OXv/wls2fPzuc///nU1tYmSc4+++wsWLAgQ4YMycCBA3P99ddn8uTJOfzww5Mk55xzTubMmZNjjz02hxxySG666aYcccQRGTduXDVPDQAAoE/os0GYJFdddVWuu+66TJ8+PQMGDMgZZ5yRWbNm9cynT5+e9vb2zJw5M11dXZk8eXJmz57dM586dWq2bt2aefPm5eWXX05TU1NuueWW1/0QDQAAQIn6VSqVSrUXsbd47UdlBg0alOHDh1d7ObwDk9cv2uOvef+wC/b4awIAsPd7J13iVhkAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAEChBCEAAECh3tNBWKlUcuONN2b8+PEZNWpUZsyYkS1btvTaZ8mSJZk0aVJOPPHETJs2LWvXrq3SagEAAPqWPh+EixcvzogRI3o9TjnllCTJwoULc8cdd2Tu3Lm5/fbbs3379lxyySU9z122bFnmz5+f5ubmLF26NPX19bnooouyffv2ap0OAABAnzGg2gt4K88880w+/elP5/zzz+/Zts8++6RSqWTRokW59NJLM2XKlCTJ3LlzM2nSpDz11FMZMWJEFi5cmHPPPTdTp05NksyZMyfjxo3L8uXLc+qpp1bjdAAAAPqMPn+HcO3atRkzZkyOOuqonsdhhx2WZ555Jlu2bMnEiRN79m1oaMiwYcOycuXKtLa2ZvXq1b3mAwcOTGNjY1auXFmNUwEAAOhT+vwdwrVr12bZsmW5+eabs3379owbNy6XXXZZ1q1bl/79+2fo0KG99q+vr09LS0vWr1+f7u7uHHrooW8431UTJkzY6ay5uTlHHnnkLh8bAABgT+rTdwjb2trywgsvpKamJt/+9rczb968PPvss7ngggvS1taWmpqa9O/f+xRqa2vT1taWtra2JK/eFXyjOQAAQOn69B3CfffdN/fff38aGhrSr1+/JMnRRx+dj33sY6mtrU1HR0e6u7t7RWFHR0fq6upSV1eXJGlvb+91zM7Ozp7ZrlixYsVOZ2vWrBGbAADAe0afvkM4YMCADB06tCcGk1c/8nnQQQflj3/8YyqVSjZu3NjrORs3bkxDQ0MGDx6cJNmwYUOv+YYNG9LQ0PDuLx4AAKCP69NBeNddd2XKlCnp6urq2fbcc89l27ZtOemkkzJ48OA8+OCDvWbr1q3LhAkTcuCBB6axsbHXHb3W1tY88cQTb/o9QAAAgFL06SBsamrKiy++mJkzZ+axxx7Lww8/nObm5owePTonnXRSzj777CxYsCAPPPBAVq1alRkzZmTy5Mk5/PDDkyTnnHNOfvzjH+fuu+/OY489li9/+cs54ogjMm7cuCqfGQAAQPX16e8QHnLIIbnttttyww035MILL0xNTU0mTJiQK6+8Mkkyffr0tLe3Z+bMmenq6srkyZMze/bsnudPnTo1W7duzbx58/Lyyy+nqakpt9xyy+t+iAYAAKBE/SqVSqXai9hbvPajMoMGDcrw4cOrvRzegcnrF+3x17x/2AV7/DUBANj7vZMucasMAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUHt9EHZ2dubqq69OU1NTxo4dmyuvvDJtbW3VXhYAAEDV7fVBOG/evDz00ENZsGBBbr311qxZsyZf+9rXqr0sAACAqhtQ7QW8m1566aXceeed+cd//MecfPLJSZIrrrgi5513XlpaWvKBD3ygyisEAAConr36DuFvf/vbJOmJwSQZOXJkBgwYkFWrVlVrWQAAAH3CXn2HcN26dRkyZEhqamp6ttXU1OTggw9OS0vLLh1zwoQJO51dc801qaurS3t7e9asWbNLx6c6Luk8ao+/5ppW1wgAALtfe3t7kqSjo+Mt992rg7CtrS0DBw583fba2tp35YdlXgvP7u5uP1zzHvPBDNrjr9nW5RoBAODd093d/Zb77NVBWFdXl+3bt79ue0dHR+rq6nbpmCtWrNjpbPXq1ens7Ez//v2z77777tLxeW956qmnkiQjRoyo8kpg17mO2Ru4jtkbuI7ZXTo6OtLd3d3rk5I7s1cH4ZAhQ7J58+Z0dnb2/Mt45ZVXsnnz5gwdOnS3v94JJ5yw249J33bxxRcnefP/UQB9neuYvYHrmL2B65hq2Kt/VKapqSmVSiWPPvpoz7ZHHnkklUolY8eOreLKAAAAqm+vDsK6urqceeaZueaaa/LII4/kgQceyJVXXpnPf/7zqa2trfbyAAAAqmqv/shoklx11VW57rrrMn369AwYMCBnnHFGZs2aVe1lAQAAVN1eH4T77bdfrr322lx77bXVXgoAAECfsld/ZBQAAICd61epVCrVXgQAAAB7njuEAAAAhRKEAAAAhRKEAAAAhRKEAAAAhRKEAAAAhRKEAAAAhRKEAAAAhRKEAAAAhRKEAAAAhRKEAAAAhRKEAAAAhRKEAAAAhRKEAAAAhRKEsAs6Oztz9dVXp6mpKWPHjs2VV16Ztra2ai8LdqpSqeTGG2/M+PHjM2rUqMyYMSNbtmzptc+SJUsyadKknHjiiZk2bVrWrl3ba75s2bJ88pOfzMiRI/O5z30ujz/++B48A/Z2W7duzfHHH5+tW7f2bHur91rXNX3NG13Hb8V1TLUJQtgF8+bNy0MPPZQFCxbk1ltvzZo1a/K1r32t2suicIsXL86IESN6PU455ZQkycKFC3PHHXdk7ty5uf3227N9+/ZccsklPc9dtmxZ5s+fn+bm5ixdujT19fW56KKLsn379iTJ448/nssuuyxf+MIXcuedd2bMmDG5+OKLs2nTpqqcK3uXTZs25brrrsuOHTt6bX+r91rXNX3Jzq7jN3tvTlzH9AEV4B158cUXKyeccEJl+fLlPdt+85vfVIYPH17ZsmVLFVdG6a6++urKVVddVXnmmWd6Hn/6058q3d3dlf/3//5fZcmSJT37Pv/885Vjjjmm8uSTT1YqlUrlrLPOqsyfP79n3t7eXhk5cmRl2bJllUqlUrn00ksrzc3NPfPu7u7KlClTKj/4wQ/2zMmx17rqqqsqxxxzTM+jpaWlUqm89Xut65q+ZGfXcaWy8/fmSqXiOqZPcIcQ3qHf/va3SZKTTz65Z9vIkSMzYMCArFq1qlrLgqxduzZjxozJUUcd1fM47LDD8swzz2TLli2ZOHFiz74NDQ0ZNmxYVq5cmdbW1qxevbrXfODAgWlsbMzKlSuTJKtWreo179evX8aOHdszh101ffr03HXXXbn22mt7bX+r91rXNX3Jzq7jZOfvzUlcx/QJghDeoXXr1mXIkCGpqanp2VZTU5ODDz44LS0tVVwZpVu7dm2WLVuWU045JRMnTsxll12WTZs2Zd26denfv3+GDh3aa//6+vq0tLRk/fr16e7uzqGHHvqG89bW1mzbtm2nc/i/aGhoyHHHHdfzB+TXvNV7reuavmRn13Gy8/fmJK5j+gRBCO9QW1tbBg4c+LrttbW1fliGqmlra8sLL7yQmpqafPvb3868efPy7LPP5oILLkhbW1tqamrSv3/vt/zXrtnXrtv/fV2/3Tm8G97qvdZ1zXvBm703d3R0uI7pEwZUewHwXlNXV9fzRe7/qaOjI3V1dVVYEST77rtv7r///jQ0NKRfv35JkqOPPjof+9jHUltbm46OjnR3d/f6Q8dr1+xr1217e3uvY3Z2dqauri4HHHDAm87h3fBW77V1dXWua/q8N3tvXrFiheuYPsEdQniHhgwZks2bN6ezs7Nn2yuvvJLNmze/7iMfsKcMGDAgQ4cO7fkDR/LqR4YOOuig/PGPf0ylUsnGjRt7PWfjxo1paGjI4MGDkyQbNmzoNd+wYUMaGhpSW1ub/ffff6dzeDe81XvtkCFDXNf0eW/23rx582bXMX2CIIR3qKmpKZVKJY8++mjPtkceeSSVSiVjx46t4soo2V133ZUpU6akq6urZ9tzzz2Xbdu25aSTTsrgwYPz4IMP9pqtW7cuEyZMyIEHHpjGxsasWLGiZ97a2ponnngiEyZMSJJMnDix13zHjh1ZuXJlzxx2t7d6rx0+fLjrmj7vzd6bjz76aNcxfYKPjMI7VFdXlzPPPDPXXHNN5s6dm7/85S+ZPXt2Pv/5z6e2trbay6NQTU1NufbaazNz5sycd9552b59e2644YaMHj06J510Us4+++wsWLAgQ4YMycCBA3P99ddn8uTJOfzww5Mk55xzTubMmZNjjz02hxxySG666aYcccQRGTduXM982rRpGT16dEaMGJEf/vCH6erqyumnn17N02Yv9nbea13X9HVv9d6cuI6pvn6VSqVS7UXAe017e3uuu+66LFu2LAMGDMgZZ5yRWbNmZZ999qn20ijYk08+mRtuuCG/+93vUlNTkwkTJuTKK6/MBz7wgezYsSPf+c53cuedd6arqyuTJ0/O7Nmzs//++/c8/7bbbsuiRYvy8ssvp6mpKXPnzk19fX3P/D/+4z9y8803Z9OmTWlsbMzs2bPzoQ99qBqnyl5o1apVOe+88/Lwww/n4IMPTvLW77Wua/qaN7qO3+y9OXEdU32CEAAAoFC+QwgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAfcCqVaty7LHH5qGHHqr2UgAoiCAEAAAolCAEAAAolCAEgP+jCy+8MGPHjk1XV1ev7VdccUXGjBmTjo6O3Hvvvfnrv/7rjBo1Kk1NTbngggvy6KOP7vSYl19+eT760Y/22rZ+/foce+yxufPOO3u2tbe35xvf+EY++tGPprGxMZ/97Gdz//33794TBGCvJQgB4P/ojDPOyEsvvZTf/OY3Pdu6urryy1/+MqeeemqefvrpXHrppTnssMMyb968XH755dm2bVsuuuii/PnPf97l192xY0f+5m/+Jv/+7/+eCy+8MN/61rdy2GGH5Utf+lLuvvvu3XBmAOztBlR7AQDwXnfKKadk9uzZuffeezN+/PgkycMPP5wXX3wxn/rUp/KHP/who0ePzre+9a3069cvSfJXf/VXmTZtWn7/+9+nqalpl1532bJlWbVqVZYuXZpRo0YlST7xiU9k27ZtWbBgQU4//fTdc4IA7LXcIQSA/6P9998/kydPzn333ZdKpZIkueeeezJ06NCMGTMmn/3sZ7NkyZK0trbmd7/7Xe65557ccccdSV69y7erHnjggdTX1+eYY45JW1tbz+OjH/1o/vSnP6WlpWW3nB8Aey93CAFgNzjzzDNz99135/HHH8+IESNy33335eyzz06/fv3y3HPP5aqrrsqqVaty8MEH5/DDD88hhxzyjl/jtdh8zZYtW/LCCy9k9OjRb7j/tm3b8oEPfGCXzgeAMghCANgNJkyYkIMOOij33ntv2tra8uc//zmf+tSnkiSzZs1KS0tL7rnnnhx22GFJkoceeig///nPd3q81z5a+j/97+8bHnDAAT3fS3wjDQ0Nu3g2AJRCEALAbrDPPvvktNNOy3333ZeXX345jY2N+eAHP5gkefrpp3PWWWf1xGCSt/wL6Gtra9PW1pZKpdITh4888kivfT7ykY9k+fLlOeywwzJkyJCe7bfeemsefvjhLFy4cHedHgB7KUEIALvJGWeckZ/85CfZuHFjZs2a1bN9xIgR+c///M986EMfyvvf//786le/ymOPPZbk1R+fGT58+OuOddJJJ2Xx4sX5/ve/n7POOiv/9V//lR/96Ee99jnrrLPyk5/8JBdeeGHOP//87L///nnwwQfzr//6r7niiivSv7+fCgDgzfkvBQDsJqNHj86hhx6a7u7unHbaaT3b582blxEjRuSb3/xmrr/++hx88MH56U9/mvHjx+dHP/pRnnvuudcd67TTTsv06dOzePHifOITn8itt96ab3zjG7322W+//bJ48eJ8+MMfzg033JBZs2blySefzLXXXpvzzz//XT9fAN77+lX+9zfUAQAAKII7hAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIX6/3FjTDH4ja6sAAAAAElFTkSuQmCC",
       "text/plain": [
        "
"
       ]
@@ -504,8 +504,8 @@
   },
   "papermill": {
    "default_parameters": {},
-   "duration": 2.718722,
-   "end_time": "2024-09-10T13:53:21.184666",
+   "duration": 2.77955,
+   "end_time": "2024-09-10T14:17:03.238573",
    "environment_variables": {},
    "exception": null,
    "input_path": "Cauchy.ipynb",
@@ -514,7 +514,7 @@
     "func_name": "Cauchy",
     "positive_prior": false
    },
-   "start_time": "2024-09-10T13:53:18.465944",
+   "start_time": "2024-09-10T14:17:00.459023",
    "version": "2.6.0"
   }
  },
diff --git a/notebooks/Configuration.html b/notebooks/Configuration.html
index 5f9fffbc..76eb1894 100644
--- a/notebooks/Configuration.html
+++ b/notebooks/Configuration.html
@@ -118,7 +118,7 @@ 
Configuration
-
13:50:15 WARNING   The naima package is not available. Models that depend on it will not be         functions.py:48
+
14:13:52 WARNING   The naima package is not available. Models that depend on it will not be         functions.py:48
                   available
diff --git a/notebooks/Configuration.ipynb b/notebooks/Configuration.ipynb index dc11c8d8..5aad9b7a 100644 --- a/notebooks/Configuration.ipynb +++ b/notebooks/Configuration.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "markdown", - "id": "cecf591d", + "id": "d0a8dfc8", "metadata": {}, "source": [ "# Configuration\n", @@ -13,25 +13,25 @@ { "cell_type": "code", "execution_count": 1, - "id": "de14bf9f", + "id": "89e8e1ae", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:50:14.209067Z", - "iopub.status.busy": "2024-09-10T13:50:14.208444Z", - "iopub.status.idle": "2024-09-10T13:50:15.512213Z", - "shell.execute_reply": "2024-09-10T13:50:15.511645Z" + "iopub.execute_input": "2024-09-10T14:13:51.297550Z", + "iopub.status.busy": "2024-09-10T14:13:51.296962Z", + "iopub.status.idle": "2024-09-10T14:13:52.577868Z", + "shell.execute_reply": "2024-09-10T14:13:52.577286Z" } }, "outputs": [ { "data": { "text/html": [ - "
13:50:15 WARNING   The naima package is not available. Models that depend on it will not be         functions.py:48\n",
+       "
14:13:52 WARNING   The naima package is not available. Models that depend on it will not be         functions.py:48\n",
        "                  available                                                                                        \n",
        "
\n"
       ],
       "text/plain": [
-       "\u001b[38;5;46m13:50:15\u001b[0m\u001b[38;5;46m \u001b[0m\u001b[38;5;134mWARNING \u001b[0m \u001b[1;38;5;251m The naima package is not available. Models that depend on it will not be        \u001b[0m\u001b[1;38;5;251m \u001b[0m\u001b]8;id=964953;file:///Users/runner/work/astromodels/astromodels/astromodels/functions/functions_1D/functions.py\u001b\\\u001b[2mfunctions.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=163923;file:///Users/runner/work/astromodels/astromodels/astromodels/functions/functions_1D/functions.py#48\u001b\\\u001b[2m48\u001b[0m\u001b]8;;\u001b\\\n",
+       "\u001b[38;5;46m14:13:52\u001b[0m\u001b[38;5;46m \u001b[0m\u001b[38;5;134mWARNING \u001b[0m \u001b[1;38;5;251m The naima package is not available. Models that depend on it will not be        \u001b[0m\u001b[1;38;5;251m \u001b[0m\u001b]8;id=680873;file:///Users/runner/work/astromodels/astromodels/astromodels/functions/functions_1D/functions.py\u001b\\\u001b[2mfunctions.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=216813;file:///Users/runner/work/astromodels/astromodels/astromodels/functions/functions_1D/functions.py#48\u001b\\\u001b[2m48\u001b[0m\u001b]8;;\u001b\\\n",
        "\u001b[38;5;46m         \u001b[0m         \u001b[1;38;5;251mavailable                                                                        \u001b[0m\u001b[1;38;5;251m \u001b[0m\u001b[2m               \u001b[0m\n"
       ]
      },
@@ -46,7 +46,7 @@
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Models that depend on it \u001b[0m\u001b[1;38;5;251m \u001b[0m\u001b]8;id=316824;file:///Users/runner/work/astromodels/astromodels/astromodels/functions/functions_1D/functions.py\u001b\\\u001b[2mfunctions.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=285463;file:///Users/runner/work/astromodels/astromodels/astromodels/functions/functions_1D/functions.py#69\u001b\\\u001b[2m69\u001b[0m\u001b]8;;\u001b\\\n", "\u001b[38;5;46m \u001b[0m \u001b[1;38;5;251mwill not be available. \u001b[0m\u001b[1;38;5;251m \u001b[0m\u001b[2m \u001b[0m\n" ] }, @@ -61,13 +61,13 @@ { "cell_type": "code", "execution_count": 2, - "id": "503e29b7", + "id": "7901e163", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:50:15.514747Z", - "iopub.status.busy": "2024-09-10T13:50:15.514463Z", - "iopub.status.idle": "2024-09-10T13:50:15.526699Z", - "shell.execute_reply": "2024-09-10T13:50:15.526307Z" + "iopub.execute_input": "2024-09-10T14:13:52.580370Z", + "iopub.status.busy": "2024-09-10T14:13:52.580073Z", + "iopub.status.idle": "2024-09-10T14:13:52.592293Z", + "shell.execute_reply": "2024-09-10T14:13:52.591909Z" } }, "outputs": [ @@ -132,7 +132,7 @@ }, { "cell_type": "markdown", - "id": "4c5cfaff", + "id": "5279b39d", "metadata": {}, "source": [ "The configuration can be accessed and altered during runtime:" @@ -141,13 +141,13 @@ { "cell_type": "code", "execution_count": 3, - "id": "e835a0bf", + "id": "183b1b8d", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:50:15.528658Z", - "iopub.status.busy": "2024-09-10T13:50:15.528558Z", - "iopub.status.idle": "2024-09-10T13:50:15.536921Z", - "shell.execute_reply": "2024-09-10T13:50:15.536541Z" + "iopub.execute_input": "2024-09-10T14:13:52.594293Z", + "iopub.status.busy": "2024-09-10T14:13:52.594187Z", + "iopub.status.idle": "2024-09-10T14:13:52.596244Z", + "shell.execute_reply": "2024-09-10T14:13:52.595853Z" } }, "outputs": [], @@ -158,13 +158,13 @@ { "cell_type": "code", "execution_count": 4, - "id": "2edb2235", + "id": "1f0a8b74", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:50:15.538828Z", - "iopub.status.busy": "2024-09-10T13:50:15.538726Z", - "iopub.status.idle": "2024-09-10T13:50:15.542858Z", - "shell.execute_reply": "2024-09-10T13:50:15.542532Z" + "iopub.execute_input": "2024-09-10T14:13:52.598103Z", + "iopub.status.busy": "2024-09-10T14:13:52.598001Z", + "iopub.status.idle": "2024-09-10T14:13:52.602076Z", + "shell.execute_reply": "2024-09-10T14:13:52.601695Z" } }, "outputs": [ @@ -229,7 +229,7 @@ }, { "cell_type": "markdown", - "id": "35ef6b62", + "id": "4b73df98", "metadata": {}, "source": [ "The user can create a configuration YAML file with any name and the extension `.yml` and place it in the `~/.config/astromodels/` folder. An example file:\n", @@ -254,7 +254,7 @@ }, { "cell_type": "markdown", - "id": "bdce1de5", + "id": "533d2408", "metadata": {}, "source": [ "## Configuration options\n", diff --git a/notebooks/Constant.ipynb b/notebooks/Constant.ipynb index 59e1b282..ba41f918 100644 --- a/notebooks/Constant.ipynb +++ b/notebooks/Constant.ipynb @@ -2,13 +2,13 @@ "cells": [ { "cell_type": "markdown", - "id": "488526ce", + "id": "b55163c8", "metadata": { "papermill": { - "duration": 0.005479, - "end_time": "2024-09-10T13:51:48.192533", + "duration": 0.010392, + "end_time": "2024-09-10T14:15:20.118198", "exception": false, - "start_time": "2024-09-10T13:51:48.187054", + "start_time": "2024-09-10T14:15:20.107806", "status": "completed" }, "tags": [] @@ -20,20 +20,20 @@ { "cell_type": "code", "execution_count": 1, - "id": "b46332f6", + "id": "1153922d", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:51:48.205647Z", - "iopub.status.busy": "2024-09-10T13:51:48.205013Z", - "iopub.status.idle": "2024-09-10T13:51:49.734961Z", - "shell.execute_reply": "2024-09-10T13:51:49.734413Z" + "iopub.execute_input": "2024-09-10T14:15:20.133532Z", + "iopub.status.busy": "2024-09-10T14:15:20.132912Z", + "iopub.status.idle": "2024-09-10T14:15:21.556254Z", + "shell.execute_reply": "2024-09-10T14:15:21.555748Z" }, "nbsphinx": "hidden", "papermill": { - "duration": 1.539225, - "end_time": "2024-09-10T13:51:49.736767", + "duration": 1.431565, + "end_time": "2024-09-10T14:15:21.557777", "exception": false, - "start_time": "2024-09-10T13:51:48.197542", + "start_time": "2024-09-10T14:15:20.126212", "status": "completed" }, "tags": [] @@ -60,20 +60,20 @@ { "cell_type": "code", "execution_count": 2, - "id": "926d3d9d", + "id": "c8b690e4", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:51:49.740412Z", - "iopub.status.busy": "2024-09-10T13:51:49.740077Z", - "iopub.status.idle": "2024-09-10T13:51:49.748486Z", - "shell.execute_reply": "2024-09-10T13:51:49.748053Z" + "iopub.execute_input": "2024-09-10T14:15:21.561154Z", + "iopub.status.busy": "2024-09-10T14:15:21.560842Z", + "iopub.status.idle": "2024-09-10T14:15:21.563135Z", + "shell.execute_reply": "2024-09-10T14:15:21.562739Z" }, "nbsphinx": "hidden", "papermill": { - "duration": 0.011354, - "end_time": "2024-09-10T13:51:49.749710", + "duration": 0.005182, + "end_time": "2024-09-10T14:15:21.564347", "exception": false, - "start_time": "2024-09-10T13:51:49.738356", + "start_time": "2024-09-10T14:15:21.559165", "status": "completed" }, "tags": [ @@ -95,19 +95,19 @@ { "cell_type": "code", "execution_count": 3, - "id": "53b3e277", + "id": "d3de20cb", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:51:49.752604Z", - "iopub.status.busy": "2024-09-10T13:51:49.752444Z", - "iopub.status.idle": "2024-09-10T13:51:49.754581Z", - "shell.execute_reply": "2024-09-10T13:51:49.754165Z" + "iopub.execute_input": "2024-09-10T14:15:21.567143Z", + "iopub.status.busy": "2024-09-10T14:15:21.567006Z", + "iopub.status.idle": "2024-09-10T14:15:21.572850Z", + "shell.execute_reply": "2024-09-10T14:15:21.572276Z" }, "papermill": { - "duration": 0.004984, - "end_time": "2024-09-10T13:51:49.755816", + "duration": 0.009032, + "end_time": "2024-09-10T14:15:21.574461", "exception": false, - "start_time": "2024-09-10T13:51:49.750832", + "start_time": "2024-09-10T14:15:21.565429", "status": "completed" }, "tags": [ @@ -127,21 +127,21 @@ { "cell_type": "code", "execution_count": 4, - "id": "8cc4feed", + "id": "0e62dce1", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:51:49.758704Z", - "iopub.status.busy": "2024-09-10T13:51:49.758568Z", - "iopub.status.idle": "2024-09-10T13:51:49.767636Z", - "shell.execute_reply": "2024-09-10T13:51:49.767240Z" + "iopub.execute_input": "2024-09-10T14:15:21.577711Z", + "iopub.status.busy": "2024-09-10T14:15:21.577549Z", + "iopub.status.idle": "2024-09-10T14:15:21.586757Z", + "shell.execute_reply": "2024-09-10T14:15:21.586079Z" }, "lines_to_next_cell": 0, "nbsphinx": "hidden", "papermill": { - "duration": 0.011886, - "end_time": "2024-09-10T13:51:49.768851", + "duration": 0.01258, + "end_time": "2024-09-10T14:15:21.588369", "exception": false, - "start_time": "2024-09-10T13:51:49.756965", + "start_time": "2024-09-10T14:15:21.575789", "status": "completed" }, "tags": [] @@ -170,14 +170,14 @@ }, { "cell_type": "markdown", - "id": "0ddca769", + "id": "73d29522", "metadata": { "lines_to_next_cell": 0, "papermill": { - "duration": 0.001095, - "end_time": "2024-09-10T13:51:49.771078", + "duration": 0.001194, + "end_time": "2024-09-10T14:15:21.590968", "exception": false, - "start_time": "2024-09-10T13:51:49.769983", + "start_time": "2024-09-10T14:15:21.589774", "status": "completed" }, "tags": [] @@ -189,19 +189,19 @@ { "cell_type": "code", "execution_count": 5, - "id": "84a4b5c4", + "id": "4fef0e2b", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:51:49.773856Z", - "iopub.status.busy": "2024-09-10T13:51:49.773723Z", - "iopub.status.idle": "2024-09-10T13:51:49.777042Z", - "shell.execute_reply": "2024-09-10T13:51:49.776571Z" + "iopub.execute_input": "2024-09-10T14:15:21.594229Z", + "iopub.status.busy": "2024-09-10T14:15:21.594037Z", + "iopub.status.idle": "2024-09-10T14:15:21.598095Z", + "shell.execute_reply": "2024-09-10T14:15:21.597503Z" }, "papermill": { - "duration": 0.006288, - "end_time": "2024-09-10T13:51:49.778395", + "duration": 0.007695, + "end_time": "2024-09-10T14:15:21.599808", "exception": false, - "start_time": "2024-09-10T13:51:49.772107", + "start_time": "2024-09-10T14:15:21.592113", "status": "completed" }, "tags": [] @@ -273,13 +273,13 @@ }, { "cell_type": "markdown", - "id": "f23abcaa", + "id": "bd5ebb78", "metadata": { "papermill": { - "duration": 0.001229, - "end_time": "2024-09-10T13:51:49.780831", + "duration": 0.001304, + "end_time": "2024-09-10T14:15:21.602610", "exception": false, - "start_time": "2024-09-10T13:51:49.779602", + "start_time": "2024-09-10T14:15:21.601306", "status": "completed" }, "tags": [] @@ -295,19 +295,19 @@ { "cell_type": "code", "execution_count": 6, - "id": "3e5b8e17", + "id": "3f496702", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:51:49.783839Z", - "iopub.status.busy": "2024-09-10T13:51:49.783707Z", - "iopub.status.idle": "2024-09-10T13:51:49.870371Z", - "shell.execute_reply": "2024-09-10T13:51:49.870044Z" + "iopub.execute_input": "2024-09-10T14:15:21.605878Z", + "iopub.status.busy": "2024-09-10T14:15:21.605697Z", + "iopub.status.idle": "2024-09-10T14:15:21.694518Z", + "shell.execute_reply": "2024-09-10T14:15:21.694154Z" }, "papermill": { - "duration": 0.089768, - "end_time": "2024-09-10T13:51:49.871803", + "duration": 0.092157, + "end_time": "2024-09-10T14:15:21.695986", "exception": false, - "start_time": "2024-09-10T13:51:49.782035", + "start_time": "2024-09-10T14:15:21.603829", "status": "completed" }, "tags": [ @@ -340,14 +340,14 @@ }, { "cell_type": "markdown", - "id": "9c4f11a2", + "id": "c07bb79e", "metadata": { "lines_to_next_cell": 0, "papermill": { - "duration": 0.001576, - "end_time": "2024-09-10T13:51:49.875073", + "duration": 0.001386, + "end_time": "2024-09-10T14:15:21.699051", "exception": false, - "start_time": "2024-09-10T13:51:49.873497", + "start_time": "2024-09-10T14:15:21.697665", "status": "completed" }, "tags": [] @@ -362,19 +362,19 @@ { "cell_type": "code", "execution_count": 7, - "id": "8434eb59", + "id": "dac5c935", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:51:49.878913Z", - "iopub.status.busy": "2024-09-10T13:51:49.878767Z", - "iopub.status.idle": "2024-09-10T13:51:50.016724Z", - "shell.execute_reply": "2024-09-10T13:51:50.016295Z" + "iopub.execute_input": "2024-09-10T14:15:21.702606Z", + "iopub.status.busy": "2024-09-10T14:15:21.702467Z", + "iopub.status.idle": "2024-09-10T14:15:21.837170Z", + "shell.execute_reply": "2024-09-10T14:15:21.836795Z" }, "papermill": { - "duration": 0.141595, - "end_time": "2024-09-10T13:51:50.018032", + "duration": 0.138127, + "end_time": "2024-09-10T14:15:21.838547", "exception": false, - "start_time": "2024-09-10T13:51:49.876437", + "start_time": "2024-09-10T14:15:21.700420", "status": "completed" }, "tags": [] @@ -406,13 +406,13 @@ }, { "cell_type": "markdown", - "id": "7d7baf6d", + "id": "a94c36dc", "metadata": { "papermill": { - "duration": 0.00161, - "end_time": "2024-09-10T13:51:50.021379", + "duration": 0.001502, + "end_time": "2024-09-10T14:15:21.841736", "exception": false, - "start_time": "2024-09-10T13:51:50.019769", + "start_time": "2024-09-10T14:15:21.840234", "status": "completed" }, "tags": [] @@ -427,19 +427,19 @@ { "cell_type": "code", "execution_count": 8, - "id": "83e21690", + "id": "8781be4c", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:51:50.025201Z", - "iopub.status.busy": "2024-09-10T13:51:50.025050Z", - 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"2024-09-10T13:51:47.646475", + "start_time": "2024-09-10T14:15:19.536751", "version": "2.6.0" } }, diff --git a/notebooks/Cosine_Prior.ipynb b/notebooks/Cosine_Prior.ipynb index 76cf5f7a..1c56d509 100644 --- a/notebooks/Cosine_Prior.ipynb +++ b/notebooks/Cosine_Prior.ipynb @@ -2,13 +2,13 @@ "cells": [ { "cell_type": "markdown", - "id": "d7931026", + "id": "8d04bdf7", "metadata": { "papermill": { - "duration": 0.008837, - "end_time": "2024-09-10T13:53:21.816202", + "duration": 0.005804, + "end_time": "2024-09-10T14:17:04.007968", "exception": false, - "start_time": "2024-09-10T13:53:21.807365", + "start_time": "2024-09-10T14:17:04.002164", "status": "completed" }, "tags": [] @@ -20,20 +20,20 @@ { "cell_type": "code", "execution_count": 1, - "id": "9de9010f", + "id": "e96ba6b3", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:53:21.830262Z", - "iopub.status.busy": "2024-09-10T13:53:21.829640Z", - "iopub.status.idle": "2024-09-10T13:53:23.240364Z", - "shell.execute_reply": "2024-09-10T13:53:23.239859Z" + "iopub.execute_input": "2024-09-10T14:17:04.017045Z", + "iopub.status.busy": "2024-09-10T14:17:04.016595Z", + "iopub.status.idle": "2024-09-10T14:17:05.415988Z", + "shell.execute_reply": "2024-09-10T14:17:05.415523Z" }, "nbsphinx": "hidden", "papermill": { - "duration": 1.419066, - "end_time": "2024-09-10T13:53:23.241937", + "duration": 1.405108, + "end_time": "2024-09-10T14:17:05.417454", "exception": false, - "start_time": "2024-09-10T13:53:21.822871", + "start_time": "2024-09-10T14:17:04.012346", "status": "completed" }, "tags": [] @@ -60,20 +60,20 @@ { "cell_type": "code", "execution_count": 2, - "id": "7bdc4248", + "id": "fbec379b", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:53:23.245179Z", - "iopub.status.busy": "2024-09-10T13:53:23.244822Z", - "iopub.status.idle": "2024-09-10T13:53:23.247033Z", - "shell.execute_reply": "2024-09-10T13:53:23.246658Z" + "iopub.execute_input": 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+ "image/png": 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", "text/plain": [ "
" ] @@ -503,8 +503,8 @@ }, "papermill": { "default_parameters": {}, - "duration": 2.686037, - "end_time": "2024-09-10T13:53:23.879912", + "duration": 2.78658, + "end_time": "2024-09-10T14:17:06.035699", "environment_variables": {}, "exception": null, "input_path": "Cosine_Prior.ipynb", @@ -513,7 +513,7 @@ "func_name": "Cosine_Prior", "positive_prior": false }, - "start_time": "2024-09-10T13:53:21.193875", + "start_time": "2024-09-10T14:17:03.249119", "version": "2.6.0" } }, diff --git a/notebooks/Cubic.ipynb b/notebooks/Cubic.ipynb index 596229db..e32827e0 100644 --- a/notebooks/Cubic.ipynb +++ b/notebooks/Cubic.ipynb @@ -2,13 +2,13 @@ "cells": [ { "cell_type": "markdown", - "id": "5b8a4964", + "id": "fd4d1d11", "metadata": { "papermill": { - "duration": 0.007306, - "end_time": "2024-09-10T13:51:56.785484", + "duration": 0.007079, + "end_time": "2024-09-10T14:15:29.315383", "exception": false, - "start_time": "2024-09-10T13:51:56.778178", + "start_time": "2024-09-10T14:15:29.308304", "status": "completed" }, "tags": [] @@ -20,20 +20,20 @@ { "cell_type": "code", "execution_count": 1, - "id": "c9a6ef9c", + "id": "93c67465", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:51:56.798701Z", - "iopub.status.busy": "2024-09-10T13:51:56.798059Z", - "iopub.status.idle": "2024-09-10T13:51:58.255028Z", - "shell.execute_reply": "2024-09-10T13:51:58.254508Z" + "iopub.execute_input": "2024-09-10T14:15:29.329667Z", + "iopub.status.busy": "2024-09-10T14:15:29.329073Z", + "iopub.status.idle": "2024-09-10T14:15:30.991245Z", + "shell.execute_reply": "2024-09-10T14:15:30.990474Z" }, "nbsphinx": "hidden", "papermill": { - "duration": 1.465643, - "end_time": "2024-09-10T13:51:58.256530", + "duration": 1.67156, + "end_time": "2024-09-10T14:15:30.993308", "exception": false, - "start_time": "2024-09-10T13:51:56.790887", + "start_time": "2024-09-10T14:15:29.321748", "status": "completed" }, "tags": [] @@ -60,20 +60,20 @@ { "cell_type": "code", "execution_count": 2, - 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@@ -444,14 +444,14 @@ }, { "cell_type": "markdown", - "id": "508b9c0f", + "id": "17ea2dcd", "metadata": { "lines_to_next_cell": 0, "papermill": { - "duration": 0.001474, - "end_time": "2024-09-10T13:52:51.910403", + "duration": 0.001924, + "end_time": "2024-09-10T14:16:32.790992", "exception": false, - "start_time": "2024-09-10T13:52:51.908929", + "start_time": "2024-09-10T14:16:32.789068", "status": "completed" }, "tags": [] @@ -466,19 +466,19 @@ { "cell_type": "code", "execution_count": 7, - "id": "148fda6c", + "id": "2115d5c2", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:52:51.914060Z", - "iopub.status.busy": "2024-09-10T13:52:51.913909Z", - "iopub.status.idle": "2024-09-10T13:52:52.151578Z", - "shell.execute_reply": "2024-09-10T13:52:52.151163Z" + "iopub.execute_input": "2024-09-10T14:16:32.796111Z", + "iopub.status.busy": "2024-09-10T14:16:32.795595Z", + "iopub.status.idle": "2024-09-10T14:16:33.126504Z", + "shell.execute_reply": 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"2024-09-10T13:52:49.460166", + "start_time": "2024-09-10T14:16:29.682191", "version": "2.6.0" } }, diff --git a/notebooks/DMSpectra.ipynb b/notebooks/DMSpectra.ipynb index 3225bcf0..108784ba 100644 --- a/notebooks/DMSpectra.ipynb +++ b/notebooks/DMSpectra.ipynb @@ -2,13 +2,13 @@ "cells": [ { "cell_type": "markdown", - "id": "41647118", + "id": "f7ec6617", "metadata": { "papermill": { - "duration": 0.006063, - "end_time": "2024-09-10T13:52:53.375032", + "duration": 0.011632, + "end_time": "2024-09-10T14:16:34.775748", "exception": false, - "start_time": "2024-09-10T13:52:53.368969", + "start_time": "2024-09-10T14:16:34.764116", "status": "completed" }, "tags": [] @@ -20,20 +20,20 @@ { "cell_type": "code", "execution_count": 1, - "id": "46576375", + "id": "fda4a088", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:52:53.386199Z", - "iopub.status.busy": "2024-09-10T13:52:53.385151Z", - "iopub.status.idle": "2024-09-10T13:52:54.797865Z", - "shell.execute_reply": 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b/notebooks/DiracDelta.ipynb index 8ed39e2f..182119bf 100644 --- a/notebooks/DiracDelta.ipynb +++ b/notebooks/DiracDelta.ipynb @@ -2,13 +2,13 @@ "cells": [ { "cell_type": "markdown", - "id": "2bbdad5a", + "id": "1bd48ecf", "metadata": { "papermill": { - "duration": 0.009888, - "end_time": "2024-09-10T13:51:19.940813", + "duration": 0.008898, + "end_time": "2024-09-10T14:14:51.041785", "exception": false, - "start_time": "2024-09-10T13:51:19.930925", + "start_time": "2024-09-10T14:14:51.032887", "status": "completed" }, "tags": [] @@ -20,20 +20,20 @@ { "cell_type": "code", "execution_count": 1, - "id": "effcc8c7", + "id": "49fd9ff7", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:51:19.958620Z", - "iopub.status.busy": "2024-09-10T13:51:19.957927Z", - "iopub.status.idle": "2024-09-10T13:51:21.374110Z", - "shell.execute_reply": "2024-09-10T13:51:21.373610Z" + "iopub.execute_input": "2024-09-10T14:14:51.055255Z", + "iopub.status.busy": "2024-09-10T14:14:51.054724Z", + 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a/notebooks/Disk_on_sphere.ipynb +++ b/notebooks/Disk_on_sphere.ipynb @@ -2,13 +2,13 @@ "cells": [ { "cell_type": "markdown", - "id": "3d620381", + "id": "cca957b2", "metadata": { "papermill": { - "duration": 0.008778, - "end_time": "2024-09-10T13:53:05.439524", + "duration": 0.009512, + "end_time": "2024-09-10T14:16:47.008001", "exception": false, - "start_time": "2024-09-10T13:53:05.430746", + "start_time": "2024-09-10T14:16:46.998489", "status": "completed" }, "tags": [] @@ -20,20 +20,20 @@ { "cell_type": "code", "execution_count": 1, - "id": "4630e57e", + "id": "58fe9509", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:53:05.454106Z", - "iopub.status.busy": "2024-09-10T13:53:05.453321Z", - "iopub.status.idle": "2024-09-10T13:53:06.920856Z", - "shell.execute_reply": "2024-09-10T13:53:06.920388Z" + "iopub.execute_input": "2024-09-10T14:16:47.023029Z", + "iopub.status.busy": "2024-09-10T14:16:47.022264Z", + "iopub.status.idle": "2024-09-10T14:16:48.565483Z", + 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null, "input_path": "Disk_on_sphere.ipynb", @@ -420,7 +420,7 @@ "parameters": { "func_name": "Disk_on_sphere" }, - "start_time": "2024-09-10T13:53:04.898279", + "start_time": "2024-09-10T14:16:46.457375", "version": "2.6.0" } }, diff --git a/notebooks/DoubleSmoothlyBrokenPowerlaw.ipynb b/notebooks/DoubleSmoothlyBrokenPowerlaw.ipynb index e5e878aa..b39c4edd 100644 --- a/notebooks/DoubleSmoothlyBrokenPowerlaw.ipynb +++ b/notebooks/DoubleSmoothlyBrokenPowerlaw.ipynb @@ -2,13 +2,13 @@ "cells": [ { "cell_type": "markdown", - "id": "b7e865b9", + "id": "cb1f7c4c", "metadata": { "papermill": { - "duration": 0.001857, - "end_time": "2024-09-10T13:52:46.580575", + "duration": 0.008402, + "end_time": "2024-09-10T14:16:25.729845", "exception": false, - "start_time": "2024-09-10T13:52:46.578718", + "start_time": "2024-09-10T14:16:25.721443", "status": "completed" }, "tags": [] @@ -20,20 +20,20 @@ { "cell_type": "code", "execution_count": 1, - "id": "9eaf0286", + "id": "f2ef9c67", "metadata": { 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"completed" }, "tags": [ @@ -475,8 +475,8 @@ }, "papermill": { "default_parameters": {}, - "duration": 2.841998, - "end_time": "2024-09-10T13:53:10.354285", + "duration": 2.584005, + "end_time": "2024-09-10T14:16:51.869638", "environment_variables": {}, "exception": null, "input_path": "Ellipse_on_sphere.ipynb", @@ -484,7 +484,7 @@ "parameters": { "func_name": "Ellipse_on_sphere" }, - "start_time": "2024-09-10T13:53:07.512287", + "start_time": "2024-09-10T14:16:49.285633", "version": "2.6.0" } }, diff --git a/notebooks/Exponential.ipynb b/notebooks/Exponential.ipynb index 6930646b..4230b9bc 100644 --- a/notebooks/Exponential.ipynb +++ b/notebooks/Exponential.ipynb @@ -2,13 +2,13 @@ "cells": [ { "cell_type": "markdown", - "id": "4cb88ffb", + "id": "6598edfa", "metadata": { "papermill": { - "duration": 0.006061, - "end_time": "2024-09-10T13:53:38.179626", + "duration": 0.007122, + "end_time": "2024-09-10T14:17:22.091425", "exception": false, - "start_time": "2024-09-10T13:53:38.173565", + "start_time": "2024-09-10T14:17:22.084303", "status": "completed" }, "tags": [] @@ -20,20 +20,20 @@ { "cell_type": "code", "execution_count": 1, - "id": "299ce64a", + "id": "757d8a38", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:53:38.190629Z", - "iopub.status.busy": "2024-09-10T13:53:38.189471Z", - "iopub.status.idle": "2024-09-10T13:53:39.604962Z", - "shell.execute_reply": "2024-09-10T13:53:39.604427Z" + "iopub.execute_input": "2024-09-10T14:17:22.105273Z", + "iopub.status.busy": "2024-09-10T14:17:22.104632Z", + "iopub.status.idle": "2024-09-10T14:17:23.796054Z", + "shell.execute_reply": "2024-09-10T14:17:23.795157Z" }, "nbsphinx": "hidden", "papermill": { - "duration": 1.423023, - "end_time": "2024-09-10T13:53:39.606559", + "duration": 1.699911, + "end_time": "2024-09-10T14:17:23.797813", "exception": false, - "start_time": "2024-09-10T13:53:38.183536", + "start_time": "2024-09-10T14:17:22.097902", "status": "completed" }, "tags": [] @@ -60,20 +60,20 @@ { 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", + "image/png": 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", "text/plain": [ "
" ] @@ -439,8 +439,8 @@ }, "papermill": { "default_parameters": {}, - "duration": 2.816399, - "end_time": "2024-09-10T13:53:40.427162", + "duration": 3.23259, + "end_time": "2024-09-10T14:17:24.752994", "environment_variables": {}, "exception": null, "input_path": "Exponential.ipynb", @@ -449,7 +449,7 @@ "func_name": "Exponential", "positive_prior": true }, - "start_time": "2024-09-10T13:53:37.610763", + "start_time": "2024-09-10T14:17:21.520404", "version": "2.6.0" } }, diff --git a/notebooks/Exponential_cutoff.ipynb b/notebooks/Exponential_cutoff.ipynb index 65211861..a95db18c 100644 --- a/notebooks/Exponential_cutoff.ipynb +++ b/notebooks/Exponential_cutoff.ipynb @@ -2,13 +2,13 @@ "cells": [ { "cell_type": "markdown", - "id": "00becd56", + "id": "2865429c", "metadata": { "papermill": { - "duration": 0.009872, - "end_time": "2024-09-10T13:51:25.726736", + "duration": 0.006986, + "end_time": "2024-09-10T14:14:57.170856", "exception": false, - "start_time": "2024-09-10T13:51:25.716864", + "start_time": "2024-09-10T14:14:57.163870", "status": "completed" }, "tags": [] @@ -20,20 +20,20 @@ { "cell_type": "code", "execution_count": 1, - "id": "215b5380", + "id": "ad3dab93", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:51:25.743194Z", - "iopub.status.busy": "2024-09-10T13:51:25.742322Z", - "iopub.status.idle": "2024-09-10T13:51:27.161134Z", - "shell.execute_reply": "2024-09-10T13:51:27.160586Z" + "iopub.execute_input": "2024-09-10T14:14:57.182348Z", + "iopub.status.busy": "2024-09-10T14:14:57.181770Z", + "iopub.status.idle": "2024-09-10T14:14:58.586474Z", + "shell.execute_reply": "2024-09-10T14:14:58.585945Z" }, "nbsphinx": "hidden", "papermill": { - "duration": 1.428236, - "end_time": "2024-09-10T13:51:27.162684", + "duration": 1.412172, + "end_time": "2024-09-10T14:14:58.587943", "exception": false, - "start_time": "2024-09-10T13:51:25.734448", + "start_time": "2024-09-10T14:14:57.175771", "status": "completed" }, "tags": [] @@ -60,20 +60,20 @@ { "cell_type": "code", "execution_count": 2, - "id": "07c4da26", + "id": "840208d5", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:51:27.166193Z", - 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Introduction
-
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+
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                   available
diff --git a/notebooks/Extended_sources_tutorial.ipynb b/notebooks/Extended_sources_tutorial.ipynb index c980eca3..72d2af26 100644 --- a/notebooks/Extended_sources_tutorial.ipynb +++ b/notebooks/Extended_sources_tutorial.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "markdown", - "id": "43291ea4", + "id": "fb785613", "metadata": {}, "source": [ "# Extended source tutorial" @@ -10,7 +10,7 @@ }, { "cell_type": "markdown", - "id": "dc168da4", + "id": "1fa66e41", "metadata": {}, "source": [ "## Introduction\n", @@ -21,25 +21,25 @@ { "cell_type": "code", "execution_count": 1, - "id": "83a39752", + "id": "c348f565", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:50:16.656348Z", - "iopub.status.busy": "2024-09-10T13:50:16.655909Z", - "iopub.status.idle": "2024-09-10T13:50:17.842350Z", - "shell.execute_reply": "2024-09-10T13:50:17.841931Z" + "iopub.execute_input": "2024-09-10T14:13:53.561383Z", + "iopub.status.busy": "2024-09-10T14:13:53.560317Z", + "iopub.status.idle": "2024-09-10T14:13:54.796081Z", + "shell.execute_reply": "2024-09-10T14:13:54.795649Z" } }, "outputs": [ { "data": { "text/html": [ - "
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        "                  available                                                                                        \n",
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Models that depend on it \u001b[0m\u001b[1;38;5;251m \u001b[0m\u001b]8;id=491688;file:///Users/runner/work/astromodels/astromodels/astromodels/functions/functions_1D/functions.py\u001b\\\u001b[2mfunctions.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=421385;file:///Users/runner/work/astromodels/astromodels/astromodels/functions/functions_1D/functions.py#69\u001b\\\u001b[2m69\u001b[0m\u001b]8;;\u001b\\\n", "\u001b[38;5;46m \u001b[0m \u001b[1;38;5;251mwill not be available. \u001b[0m\u001b[1;38;5;251m \u001b[0m\u001b[2m \u001b[0m\n" ] }, @@ -280,7 +280,7 @@ }, { "cell_type": "markdown", - "id": "d39a152b", + "id": "76f2ef7b", "metadata": {}, "source": [ "Instead of the `position` property, extended sources have a `spatial_shape` property, which contains the function that was specified as the `shape` argument earlier. Information can be printed either with the regular `print` function or using `.display()`:" @@ -289,13 +289,13 @@ { "cell_type": "code", "execution_count": 2, - "id": "d3647a87", + "id": "def0461b", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:50:17.844779Z", - "iopub.status.busy": "2024-09-10T13:50:17.844548Z", - "iopub.status.idle": "2024-09-10T13:50:17.855115Z", - "shell.execute_reply": "2024-09-10T13:50:17.854757Z" + "iopub.execute_input": "2024-09-10T14:13:54.798461Z", + "iopub.status.busy": "2024-09-10T14:13:54.798184Z", + "iopub.status.idle": "2024-09-10T14:13:54.802965Z", + "shell.execute_reply": "2024-09-10T14:13:54.802569Z" } }, "outputs": [ @@ -442,7 +442,7 @@ }, { "cell_type": "markdown", - "id": "dc2af56f", + "id": "732629c6", "metadata": {}, "source": [ "Spatial shape parameters can be listed, accessed, changed as any function parameters, for example:" @@ -451,13 +451,13 @@ { "cell_type": "code", "execution_count": 3, - "id": "3cace678", + "id": "6f38129e", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:50:17.857057Z", - "iopub.status.busy": "2024-09-10T13:50:17.856959Z", - "iopub.status.idle": "2024-09-10T13:50:17.867300Z", - "shell.execute_reply": "2024-09-10T13:50:17.866921Z" + "iopub.execute_input": "2024-09-10T14:13:54.805009Z", + "iopub.status.busy": "2024-09-10T14:13:54.804877Z", + "iopub.status.idle": "2024-09-10T14:13:54.815114Z", + "shell.execute_reply": "2024-09-10T14:13:54.814741Z" } }, "outputs": [ @@ -510,7 +510,7 @@ }, { "cell_type": "markdown", - "id": "b21aa0af", + "id": "be8e5cd7", "metadata": {}, "source": [ "## Available shapes" @@ -518,7 +518,7 @@ }, { "cell_type": "markdown", - "id": "4519ef92", + "id": "29bb87d7", "metadata": {}, "source": [ "Here's a list of available 2D functions:" @@ -527,13 +527,13 @@ { "cell_type": "code", "execution_count": 4, - "id": "33ccef36", + "id": "2460fdb3", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:50:17.869315Z", - "iopub.status.busy": "2024-09-10T13:50:17.869214Z", - "iopub.status.idle": "2024-09-10T13:50:17.871379Z", - "shell.execute_reply": "2024-09-10T13:50:17.871002Z" + "iopub.execute_input": "2024-09-10T14:13:54.817273Z", + "iopub.status.busy": "2024-09-10T14:13:54.817162Z", + "iopub.status.idle": "2024-09-10T14:13:54.819544Z", + "shell.execute_reply": "2024-09-10T14:13:54.819129Z" } }, "outputs": [ @@ -551,7 +551,7 @@ }, { "cell_type": "markdown", - "id": "0ca321b2", + "id": "d94580dc", "metadata": {}, "source": [ "Check the API or use the `display()` function to find out more about the shapes and their free parameters. " @@ -559,7 +559,7 @@ }, { "cell_type": "markdown", - "id": "9bc17d6b", + "id": "43b375dd", "metadata": {}, "source": [ "### \"Moveable\" Functions\n", @@ -573,7 +573,7 @@ }, { "cell_type": "markdown", - "id": "cf524fce", + "id": "08e30ebc", "metadata": {}, "source": [ "### Fixed-position Functions\n", @@ -586,13 +586,13 @@ { "cell_type": "code", "execution_count": 5, - "id": "0a4536f2", + "id": "9789b12d", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:50:17.873458Z", - "iopub.status.busy": "2024-09-10T13:50:17.873331Z", - "iopub.status.idle": "2024-09-10T13:50:17.883533Z", - "shell.execute_reply": "2024-09-10T13:50:17.883141Z" + "iopub.execute_input": "2024-09-10T14:13:54.821647Z", + "iopub.status.busy": "2024-09-10T14:13:54.821515Z", + "iopub.status.idle": "2024-09-10T14:13:54.825609Z", + "shell.execute_reply": "2024-09-10T14:13:54.825153Z" } }, "outputs": [ @@ -759,7 +759,7 @@ }, { "cell_type": "markdown", - "id": "8b6b55da", + "id": "89e18c35", "metadata": {}, "source": [ "`SpatialTemplate_2D` is designed to read in a user-provided fits file with an image (in WCS coordinates) using the `load_file()` function. The function value will be 0 outside the WCS and equal to the value of the pixel containing the given coordinates inside the WCS. The provided template should be in units of 1/deg2 and normalized so that its integral is 1. If that is not the case, the normalization parameter `K` may be set accordingly so that the overall function is normalized as expected." @@ -768,13 +768,13 @@ { "cell_type": "code", "execution_count": 6, - "id": "57d12d8b", + "id": "27c2ebf6", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:50:17.885386Z", - "iopub.status.busy": "2024-09-10T13:50:17.885287Z", - "iopub.status.idle": "2024-09-10T13:50:17.916066Z", - "shell.execute_reply": "2024-09-10T13:50:17.915673Z" + "iopub.execute_input": "2024-09-10T14:13:54.827528Z", + "iopub.status.busy": "2024-09-10T14:13:54.827425Z", + "iopub.status.idle": "2024-09-10T14:13:54.864895Z", + "shell.execute_reply": "2024-09-10T14:13:54.864428Z" } }, "outputs": [ @@ -786,7 +786,7 @@ "\n" ], "text/plain": [ - "\u001b[38;5;46m \u001b[0m\u001b[38;5;46m \u001b[0m\u001b[38;5;134mWARNING \u001b[0m \u001b[1;38;5;251m 2D template read from spitzer_example_image.fits is normalized to nan \u001b[0m\u001b[1;38;5;251m \u001b[0m\u001b]8;id=690750;file:///Users/runner/work/astromodels/astromodels/astromodels/functions/functions_2D.py\u001b\\\u001b[2mfunctions_2D.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=283497;file:///Users/runner/work/astromodels/astromodels/astromodels/functions/functions_2D.py#747\u001b\\\u001b[2m747\u001b[0m\u001b]8;;\u001b\\\n", + "\u001b[38;5;46m \u001b[0m\u001b[38;5;46m \u001b[0m\u001b[38;5;134mWARNING \u001b[0m \u001b[1;38;5;251m 2D template read from spitzer_example_image.fits is normalized to nan \u001b[0m\u001b[1;38;5;251m \u001b[0m\u001b]8;id=641421;file:///Users/runner/work/astromodels/astromodels/astromodels/functions/functions_2D.py\u001b\\\u001b[2mfunctions_2D.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=708251;file:///Users/runner/work/astromodels/astromodels/astromodels/functions/functions_2D.py#747\u001b\\\u001b[2m747\u001b[0m\u001b]8;;\u001b\\\n", "\u001b[38;5;46m \u001b[0m \u001b[1;38;5;251m(\u001b[0m\u001b[1;38;5;251mexpected: \u001b[0m\u001b[1;37m1\u001b[0m\u001b[1;38;5;251m)\u001b[0m\u001b[1;38;5;251m \u001b[0m\u001b[1;38;5;251m \u001b[0m\u001b[2m \u001b[0m\n" ] }, @@ -976,7 +976,7 @@ }, { "cell_type": "markdown", - "id": "cf1f4472", + "id": "d84ab61e", "metadata": {}, "source": [ "## \"Calling\" extended sources\n", @@ -987,13 +987,13 @@ { "cell_type": "code", "execution_count": 7, - "id": "32f0c477", + "id": "1d44dd09", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:50:17.918157Z", - "iopub.status.busy": "2024-09-10T13:50:17.918049Z", - "iopub.status.idle": "2024-09-10T13:50:18.061753Z", - "shell.execute_reply": "2024-09-10T13:50:18.061331Z" + "iopub.execute_input": "2024-09-10T14:13:54.867125Z", + "iopub.status.busy": "2024-09-10T14:13:54.867007Z", + "iopub.status.idle": "2024-09-10T14:13:55.014110Z", + "shell.execute_reply": "2024-09-10T14:13:55.013686Z" } }, "outputs": [ @@ -1052,7 +1052,7 @@ }, { "cell_type": "markdown", - "id": "e770de0f", + "id": "bbce50b3", "metadata": {}, "source": [ "## Caveats and gotchas\n", @@ -1073,13 +1073,13 @@ { "cell_type": "code", "execution_count": 8, - "id": "cf4ecfbc", + "id": "1c075f07", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:50:18.063776Z", - "iopub.status.busy": "2024-09-10T13:50:18.063668Z", - "iopub.status.idle": "2024-09-10T13:50:18.072595Z", - "shell.execute_reply": "2024-09-10T13:50:18.072208Z" + "iopub.execute_input": "2024-09-10T14:13:55.016124Z", + "iopub.status.busy": "2024-09-10T14:13:55.016022Z", + "iopub.status.idle": "2024-09-10T14:13:55.022621Z", + "shell.execute_reply": "2024-09-10T14:13:55.022255Z" } }, "outputs": [ @@ -1103,7 +1103,7 @@ }, { "cell_type": "markdown", - "id": "1fd0da88", + "id": "9a23fe27", "metadata": {}, "source": [ "## Energy-Dependent Morphology\n", @@ -1117,7 +1117,7 @@ { "cell_type": "code", "execution_count": null, - "id": "92539ecb", + "id": "2619f0ec", "metadata": {}, "outputs": [], "source": [] diff --git a/notebooks/Functions_tutorial.html b/notebooks/Functions_tutorial.html index b4871951..0c80ae13 100644 --- a/notebooks/Functions_tutorial.html +++ b/notebooks/Functions_tutorial.html @@ -139,7 +139,7 @@

Functions tutorial -

nameDescription
Asymm_Gaussian_on_sphereA bidimensional Gaussian function on a sphere (in spherical coordinates)\\nsee https://en.wikipedia.org/wiki/Gaussian_function#Two-dimensional_Gaussian_function
BandBand model from Band et al., 1993, parametrized with the peak energy
+
@@ -481,7 +481,7 @@

Modifying parameters
-
         WARNING   We have set the min_value of Powerlaw.K to 1e-99 because there was a postive    parameter.py:704
+
14:13:57 WARNING   We have set the min_value of Powerlaw.K to 1e-99 because there was a postive    parameter.py:704
                   transform
@@ -681,7 +681,7 @@

Using physical units 
-5.2 µs ± 62.8 ns per loop (mean ± std. dev. of 7 runs, 100,000 loops each)
+5.33 µs ± 123 ns per loop (mean ± std. dev. of 7 runs, 100,000 loops each)
@@ -697,7 +697,7 @@

Using physical units 
-92.2 µs ± 4.37 µs per loop (mean ± std. dev. of 7 runs, 10,000 loops each)
+90 µs ± 2.11 µs per loop (mean ± std. dev. of 7 runs, 10,000 loops each)

As you can see using astropy.units requires about 10x more than using a plain assignment. In an interactive analysis you are unlikely to notice the difference, but if you use units in a loop or during a fit this slow-down will add up an become very noticeable. Note that this is a feature of astropy.units, not of astromodels.

diff --git a/notebooks/Functions_tutorial.ipynb b/notebooks/Functions_tutorial.ipynb index 5576e1b1..429b02d7 100644 --- a/notebooks/Functions_tutorial.ipynb +++ b/notebooks/Functions_tutorial.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "markdown", - "id": "0bd9fcd4", + "id": "77ef4d0b", "metadata": {}, "source": [ "# Functions tutorial\n", @@ -15,13 +15,13 @@ { "cell_type": "code", "execution_count": 1, - "id": "a9e23f79", + "id": "59a72a7d", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:50:19.259154Z", - "iopub.status.busy": "2024-09-10T13:50:19.258568Z", - "iopub.status.idle": "2024-09-10T13:50:20.415388Z", - "shell.execute_reply": "2024-09-10T13:50:20.414853Z" + "iopub.execute_input": "2024-09-10T14:13:55.915795Z", + "iopub.status.busy": "2024-09-10T14:13:55.915283Z", + "iopub.status.idle": "2024-09-10T14:13:57.146592Z", + "shell.execute_reply": "2024-09-10T14:13:57.145996Z" } }, "outputs": [], @@ -33,20 +33,20 @@ { "cell_type": "code", "execution_count": 2, - "id": "a0b87dc7", + "id": "ae2e139e", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:50:20.417916Z", - "iopub.status.busy": "2024-09-10T13:50:20.417635Z", - "iopub.status.idle": "2024-09-10T13:50:20.423084Z", - "shell.execute_reply": "2024-09-10T13:50:20.422722Z" + "iopub.execute_input": "2024-09-10T14:13:57.149092Z", + "iopub.status.busy": "2024-09-10T14:13:57.148812Z", + "iopub.status.idle": "2024-09-10T14:13:57.154005Z", + "shell.execute_reply": "2024-09-10T14:13:57.153613Z" } }, "outputs": [ { "data": { "text/html": [ - "

nameDescription
Asymm_Gaussian_on_sphereA bidimensional Gaussian function on a sphere (in spherical coordinates)\nsee https://en.wikipedia.org/wiki/Gaussian_function#Two-dimensional_Gaussian_function
BandBand model from Band et al., 1993, parametrized with the peak energy
\n", + "
\n", "\n", "\n", "\n", @@ -110,7 +110,7 @@ }, { "cell_type": "markdown", - "id": "d35ebde4", + "id": "b667e37d", "metadata": {}, "source": [ "If you need more info about a function, you can obtain it by using:" @@ -119,13 +119,13 @@ { "cell_type": "code", "execution_count": 3, - "id": "032c4ee5", + "id": "061c9d21", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:50:20.425012Z", - "iopub.status.busy": "2024-09-10T13:50:20.424872Z", - "iopub.status.idle": "2024-09-10T13:50:20.427483Z", - "shell.execute_reply": "2024-09-10T13:50:20.427113Z" + "iopub.execute_input": "2024-09-10T14:13:57.156167Z", + "iopub.status.busy": "2024-09-10T14:13:57.156029Z", + "iopub.status.idle": "2024-09-10T14:13:57.158542Z", + "shell.execute_reply": "2024-09-10T14:13:57.158160Z" } }, "outputs": [ @@ -230,7 +230,7 @@ }, { "cell_type": "markdown", - "id": "f5cd2f1f", + "id": "1fe8f7e4", "metadata": {}, "source": [ "Note that you don’t need to create an instance in order to call the info() method." @@ -238,7 +238,7 @@ }, { "cell_type": "markdown", - "id": "1c646885", + "id": "e87a9b60", "metadata": {}, "source": [ "## Creating functions\n", @@ -249,13 +249,13 @@ { "cell_type": "code", "execution_count": 4, - "id": "82e1a8c2", + "id": "a3d4b2c6", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:50:20.429469Z", - "iopub.status.busy": "2024-09-10T13:50:20.429339Z", - "iopub.status.idle": "2024-09-10T13:50:20.437714Z", - "shell.execute_reply": "2024-09-10T13:50:20.437310Z" + "iopub.execute_input": "2024-09-10T14:13:57.160674Z", + "iopub.status.busy": "2024-09-10T14:13:57.160544Z", + "iopub.status.idle": "2024-09-10T14:13:57.168917Z", + "shell.execute_reply": "2024-09-10T14:13:57.168531Z" } }, "outputs": [], @@ -265,7 +265,7 @@ }, { "cell_type": "markdown", - "id": "27705579", + "id": "877d1af9", "metadata": {}, "source": [ "or we can specify on construction specific values for the parameters:" @@ -274,13 +274,13 @@ { "cell_type": "code", "execution_count": 5, - "id": "c88f0421", + "id": "5601c680", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:50:20.439575Z", - "iopub.status.busy": "2024-09-10T13:50:20.439480Z", - "iopub.status.idle": "2024-09-10T13:50:20.447975Z", - "shell.execute_reply": "2024-09-10T13:50:20.447607Z" + "iopub.execute_input": "2024-09-10T14:13:57.170813Z", + "iopub.status.busy": "2024-09-10T14:13:57.170711Z", + "iopub.status.idle": "2024-09-10T14:13:57.179131Z", + "shell.execute_reply": "2024-09-10T14:13:57.178761Z" } }, "outputs": [], @@ -290,7 +290,7 @@ }, { "cell_type": "markdown", - "id": "2daa9d46", + "id": "cc004cba", "metadata": {}, "source": [ "If you don’t remember the names of the parameters just call the .info() method as in powerlaw.info() as demonstrated above." @@ -298,7 +298,7 @@ }, { "cell_type": "markdown", - "id": "e2d9e276", + "id": "97e9c41c", "metadata": {}, "source": [ "## Getting information about an instance\n", @@ -309,13 +309,13 @@ { "cell_type": "code", "execution_count": 6, - "id": "621d779a", + "id": "35d896f7", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:50:20.449915Z", - "iopub.status.busy": "2024-09-10T13:50:20.449820Z", - "iopub.status.idle": "2024-09-10T13:50:20.459713Z", - "shell.execute_reply": "2024-09-10T13:50:20.459367Z" + "iopub.execute_input": "2024-09-10T14:13:57.181088Z", + "iopub.status.busy": "2024-09-10T14:13:57.180986Z", + "iopub.status.idle": "2024-09-10T14:13:57.184735Z", + "shell.execute_reply": "2024-09-10T14:13:57.184399Z" } }, "outputs": [ @@ -449,7 +449,7 @@ }, { "cell_type": "markdown", - "id": "8019a752", + "id": "e0421eeb", "metadata": {}, "source": [ "It is also possible to get the text-only representation by simply printing the object like this:" @@ -458,13 +458,13 @@ { "cell_type": "code", "execution_count": 7, - "id": "8f6ab12b", + "id": "ae8adbdf", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:50:20.461608Z", - "iopub.status.busy": "2024-09-10T13:50:20.461507Z", - "iopub.status.idle": "2024-09-10T13:50:20.470759Z", - "shell.execute_reply": "2024-09-10T13:50:20.470401Z" + "iopub.execute_input": "2024-09-10T14:13:57.186754Z", + "iopub.status.busy": "2024-09-10T14:13:57.186622Z", + "iopub.status.idle": "2024-09-10T14:13:57.189618Z", + "shell.execute_reply": "2024-09-10T14:13:57.189232Z" } }, "outputs": [ @@ -512,7 +512,7 @@ }, { "cell_type": "markdown", - "id": "f25e36a8", + "id": "26a890af", "metadata": {}, "source": [ "
\n", @@ -525,7 +525,7 @@ }, { "cell_type": "markdown", - "id": "09944dce", + "id": "baa6bcbe", "metadata": {}, "source": [ "## Modifying parameters\n", @@ -536,25 +536,25 @@ { "cell_type": "code", "execution_count": 8, - "id": "50418040", + "id": "686ee26a", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:50:20.472746Z", - "iopub.status.busy": "2024-09-10T13:50:20.472645Z", - "iopub.status.idle": "2024-09-10T13:50:20.478463Z", - "shell.execute_reply": "2024-09-10T13:50:20.478131Z" + "iopub.execute_input": "2024-09-10T14:13:57.191778Z", + "iopub.status.busy": "2024-09-10T14:13:57.191644Z", + "iopub.status.idle": "2024-09-10T14:13:57.203645Z", + "shell.execute_reply": "2024-09-10T14:13:57.203275Z" } }, "outputs": [ { "data": { "text/html": [ - "
         WARNING   We have set the min_value of Powerlaw.K to 1e-99 because there was a postive    parameter.py:704\n",
+       "
14:13:57 WARNING   We have set the min_value of Powerlaw.K to 1e-99 because there was a postive    parameter.py:704\n",
        "                  transform                                                                                        \n",
        "
\n"
       ],
       "text/plain": [
-       "\u001b[38;5;46m        \u001b[0m\u001b[38;5;46m \u001b[0m\u001b[38;5;134mWARNING \u001b[0m \u001b[1;38;5;251m We have set the min_value of Powerlaw.K to \u001b[0m\u001b[1;37m1e-99\u001b[0m\u001b[1;38;5;251m because there was a postive   \u001b[0m\u001b[1;38;5;251m \u001b[0m\u001b]8;id=62707;file:///Users/runner/work/astromodels/astromodels/astromodels/core/parameter.py\u001b\\\u001b[2mparameter.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=412330;file:///Users/runner/work/astromodels/astromodels/astromodels/core/parameter.py#704\u001b\\\u001b[2m704\u001b[0m\u001b]8;;\u001b\\\n",
+       "\u001b[38;5;46m14:13:57\u001b[0m\u001b[38;5;46m \u001b[0m\u001b[38;5;134mWARNING \u001b[0m \u001b[1;38;5;251m We have set the min_value of Powerlaw.K to \u001b[0m\u001b[1;37m1e-99\u001b[0m\u001b[1;38;5;251m because there was a postive   \u001b[0m\u001b[1;38;5;251m \u001b[0m\u001b]8;id=760177;file:///Users/runner/work/astromodels/astromodels/astromodels/core/parameter.py\u001b\\\u001b[2mparameter.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=943562;file:///Users/runner/work/astromodels/astromodels/astromodels/core/parameter.py#704\u001b\\\u001b[2m704\u001b[0m\u001b]8;;\u001b\\\n",
        "\u001b[38;5;46m         \u001b[0m         \u001b[1;38;5;251mtransform                                                                       \u001b[0m\u001b[1;38;5;251m \u001b[0m\u001b[2m                \u001b[0m\n"
       ]
      },
@@ -613,7 +613,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "07ef0975",
+   "id": "6867cd6a",
    "metadata": {},
    "source": [
     "## Using physical units\n",
@@ -624,13 +624,13 @@
   {
    "cell_type": "code",
    "execution_count": 9,
-   "id": "affb42be",
+   "id": "016600b0",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:20.480390Z",
-     "iopub.status.busy": "2024-09-10T13:50:20.480267Z",
-     "iopub.status.idle": "2024-09-10T13:50:20.489241Z",
-     "shell.execute_reply": "2024-09-10T13:50:20.488832Z"
+     "iopub.execute_input": "2024-09-10T14:13:57.205549Z",
+     "iopub.status.busy": "2024-09-10T14:13:57.205450Z",
+     "iopub.status.idle": "2024-09-10T14:13:57.214326Z",
+     "shell.execute_reply": "2024-09-10T14:13:57.213960Z"
     }
    },
    "outputs": [],
@@ -642,7 +642,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "12c0d593",
+   "id": "eedcef76",
    "metadata": {},
    "source": [
     "Now we can see the units"
@@ -651,13 +651,13 @@
   {
    "cell_type": "code",
    "execution_count": 10,
-   "id": "68cfa764",
+   "id": "1a925c0a",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:20.491107Z",
-     "iopub.status.busy": "2024-09-10T13:50:20.491011Z",
-     "iopub.status.idle": "2024-09-10T13:50:20.495051Z",
-     "shell.execute_reply": "2024-09-10T13:50:20.494686Z"
+     "iopub.execute_input": "2024-09-10T14:13:57.216224Z",
+     "iopub.status.busy": "2024-09-10T14:13:57.216125Z",
+     "iopub.status.idle": "2024-09-10T14:13:57.219832Z",
+     "shell.execute_reply": "2024-09-10T14:13:57.219467Z"
     }
    },
    "outputs": [
@@ -792,13 +792,13 @@
   {
    "cell_type": "code",
    "execution_count": 11,
-   "id": "b639342f",
+   "id": "91693682",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:20.496923Z",
-     "iopub.status.busy": "2024-09-10T13:50:20.496791Z",
-     "iopub.status.idle": "2024-09-10T13:50:20.499169Z",
-     "shell.execute_reply": "2024-09-10T13:50:20.498790Z"
+     "iopub.execute_input": "2024-09-10T14:13:57.221748Z",
+     "iopub.status.busy": "2024-09-10T14:13:57.221615Z",
+     "iopub.status.idle": "2024-09-10T14:13:57.230102Z",
+     "shell.execute_reply": "2024-09-10T14:13:57.229719Z"
     }
    },
    "outputs": [
@@ -823,13 +823,13 @@
   {
    "cell_type": "code",
    "execution_count": 12,
-   "id": "b747c2a7",
+   "id": "c4c06066",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:20.501189Z",
-     "iopub.status.busy": "2024-09-10T13:50:20.501063Z",
-     "iopub.status.idle": "2024-09-10T13:50:20.509468Z",
-     "shell.execute_reply": "2024-09-10T13:50:20.509082Z"
+     "iopub.execute_input": "2024-09-10T14:13:57.231939Z",
+     "iopub.status.busy": "2024-09-10T14:13:57.231841Z",
+     "iopub.status.idle": "2024-09-10T14:13:57.240338Z",
+     "shell.execute_reply": "2024-09-10T14:13:57.239986Z"
     }
    },
    "outputs": [
@@ -854,13 +854,13 @@
   {
    "cell_type": "code",
    "execution_count": 13,
-   "id": "17d2729f",
+   "id": "99b8811d",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:20.511236Z",
-     "iopub.status.busy": "2024-09-10T13:50:20.511141Z",
-     "iopub.status.idle": "2024-09-10T13:50:20.514296Z",
-     "shell.execute_reply": "2024-09-10T13:50:20.513963Z"
+     "iopub.execute_input": "2024-09-10T14:13:57.242159Z",
+     "iopub.status.busy": "2024-09-10T14:13:57.242056Z",
+     "iopub.status.idle": "2024-09-10T14:13:57.251125Z",
+     "shell.execute_reply": "2024-09-10T14:13:57.250769Z"
     }
    },
    "outputs": [
@@ -893,7 +893,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3ea6fba0",
+   "id": "85a2da31",
    "metadata": {},
    "source": [
     "We see that astromodels does the unit conversion for us in the background!\n",
@@ -904,13 +904,13 @@
   {
    "cell_type": "code",
    "execution_count": 14,
-   "id": "ee97e5ae",
+   "id": "8a97cb70",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:20.516202Z",
-     "iopub.status.busy": "2024-09-10T13:50:20.516067Z",
-     "iopub.status.idle": "2024-09-10T13:50:24.745600Z",
-     "shell.execute_reply": "2024-09-10T13:50:24.745151Z"
+     "iopub.execute_input": "2024-09-10T14:13:57.253066Z",
+     "iopub.status.busy": "2024-09-10T14:13:57.252968Z",
+     "iopub.status.idle": "2024-09-10T14:14:01.580435Z",
+     "shell.execute_reply": "2024-09-10T14:14:01.579954Z"
     }
    },
    "outputs": [
@@ -918,7 +918,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "5.2 µs ± 62.8 ns per loop (mean ± std. dev. of 7 runs, 100,000 loops each)\n"
+      "5.33 µs ± 123 ns per loop (mean ± std. dev. of 7 runs, 100,000 loops each)\n"
      ]
     }
    ],
@@ -929,13 +929,13 @@
   {
    "cell_type": "code",
    "execution_count": 15,
-   "id": "fe2113ad",
+   "id": "b9eb4278",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:24.747706Z",
-     "iopub.status.busy": "2024-09-10T13:50:24.747569Z",
-     "iopub.status.idle": "2024-09-10T13:50:32.172868Z",
-     "shell.execute_reply": "2024-09-10T13:50:32.172033Z"
+     "iopub.execute_input": "2024-09-10T14:14:01.582517Z",
+     "iopub.status.busy": "2024-09-10T14:14:01.582406Z",
+     "iopub.status.idle": "2024-09-10T14:14:08.870282Z",
+     "shell.execute_reply": "2024-09-10T14:14:08.869834Z"
     }
    },
    "outputs": [
@@ -943,7 +943,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "92.2 µs ± 4.37 µs per loop (mean ± std. dev. of 7 runs, 10,000 loops each)\n"
+      "90 µs ± 2.11 µs per loop (mean ± std. dev. of 7 runs, 10,000 loops each)\n"
      ]
     }
    ],
@@ -953,7 +953,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "40ff4795",
+   "id": "eab79daf",
    "metadata": {},
    "source": [
     "As you can see using **astropy.units requires about 10x more than using a plain assignment**. In an interactive analysis you are unlikely to notice the difference, but if you use units in a loop or during a fit this slow-down will add up an become very noticeable. **Note that this is a feature of astropy.units, not of astromodels.**"
@@ -961,7 +961,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "84791ce7",
+   "id": "e3dcf1cf",
    "metadata": {},
    "source": [
     "## Composing functions\n",
@@ -972,13 +972,13 @@
   {
    "cell_type": "code",
    "execution_count": 16,
-   "id": "11eb814d",
+   "id": "d3ba22e1",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:32.176529Z",
-     "iopub.status.busy": "2024-09-10T13:50:32.176317Z",
-     "iopub.status.idle": "2024-09-10T13:50:32.187002Z",
-     "shell.execute_reply": "2024-09-10T13:50:32.186303Z"
+     "iopub.execute_input": "2024-09-10T14:14:08.872484Z",
+     "iopub.status.busy": "2024-09-10T14:14:08.872376Z",
+     "iopub.status.idle": "2024-09-10T14:14:08.875427Z",
+     "shell.execute_reply": "2024-09-10T14:14:08.875034Z"
     }
    },
    "outputs": [
@@ -1000,7 +1000,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "85e7b47b",
+   "id": "b4436396",
    "metadata": {},
    "source": [
     "These expressions can be as complex as needed. For example:"
@@ -1009,13 +1009,13 @@
   {
    "cell_type": "code",
    "execution_count": 17,
-   "id": "d098c3dc",
+   "id": "6a2137fe",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:32.190148Z",
-     "iopub.status.busy": "2024-09-10T13:50:32.189959Z",
-     "iopub.status.idle": "2024-09-10T13:50:32.203058Z",
-     "shell.execute_reply": "2024-09-10T13:50:32.202364Z"
+     "iopub.execute_input": "2024-09-10T14:14:08.877437Z",
+     "iopub.status.busy": "2024-09-10T14:14:08.877301Z",
+     "iopub.status.idle": "2024-09-10T14:14:08.881815Z",
+     "shell.execute_reply": "2024-09-10T14:14:08.881441Z"
     }
    },
    "outputs": [
@@ -1035,7 +1035,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a138f544",
+   "id": "ca57d4dc",
    "metadata": {},
    "source": [
     "The numbers between ```{}``` enumerate the unique functions which constitute a composite function. This is useful because composite functions can be created starting from pre-existing instances of functions, in which case the same instance can be used more than once. For example:"
@@ -1044,13 +1044,13 @@
   {
    "cell_type": "code",
    "execution_count": 18,
-   "id": "65a0d4c4",
+   "id": "c2e67c00",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:32.206692Z",
-     "iopub.status.busy": "2024-09-10T13:50:32.206511Z",
-     "iopub.status.idle": "2024-09-10T13:50:32.217338Z",
-     "shell.execute_reply": "2024-09-10T13:50:32.216654Z"
+     "iopub.execute_input": "2024-09-10T14:14:08.883860Z",
+     "iopub.status.busy": "2024-09-10T14:14:08.883724Z",
+     "iopub.status.idle": "2024-09-10T14:14:08.887342Z",
+     "shell.execute_reply": "2024-09-10T14:14:08.886895Z"
     }
    },
    "outputs": [
@@ -1073,7 +1073,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a278a764",
+   "id": "f821387f",
    "metadata": {},
    "source": [
     "In this case the same instance of a power law has been used twice. Changing the value of the parameters for “a_powerlaw” will affect also the second part of the expression. Instead, by doing this:"
@@ -1082,13 +1082,13 @@
   {
    "cell_type": "code",
    "execution_count": 19,
-   "id": "9469f547",
+   "id": "ac04916b",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:32.220521Z",
-     "iopub.status.busy": "2024-09-10T13:50:32.220327Z",
-     "iopub.status.idle": "2024-09-10T13:50:32.225561Z",
-     "shell.execute_reply": "2024-09-10T13:50:32.224859Z"
+     "iopub.execute_input": "2024-09-10T14:14:08.889349Z",
+     "iopub.status.busy": "2024-09-10T14:14:08.889254Z",
+     "iopub.status.idle": "2024-09-10T14:14:08.898909Z",
+     "shell.execute_reply": "2024-09-10T14:14:08.898513Z"
     }
    },
    "outputs": [
@@ -1108,7 +1108,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1a784f54",
+   "id": "22e4aa5d",
    "metadata": {},
    "source": [
     "we will end up with two independent sets of parameters for the two power laws. The difference can be seen immediately from the number of parameters of the two composite functions:"
@@ -1117,13 +1117,13 @@
   {
    "cell_type": "code",
    "execution_count": 20,
-   "id": "fb46ea2b",
+   "id": "ea4b2126",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:32.229407Z",
-     "iopub.status.busy": "2024-09-10T13:50:32.229207Z",
-     "iopub.status.idle": "2024-09-10T13:50:32.233300Z",
-     "shell.execute_reply": "2024-09-10T13:50:32.232276Z"
+     "iopub.execute_input": "2024-09-10T14:14:08.900812Z",
+     "iopub.status.busy": "2024-09-10T14:14:08.900711Z",
+     "iopub.status.idle": "2024-09-10T14:14:08.902958Z",
+     "shell.execute_reply": "2024-09-10T14:14:08.902562Z"
     }
    },
    "outputs": [
@@ -1143,7 +1143,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7f1d9bbf",
+   "id": "6493f6fc",
    "metadata": {},
    "source": [
     "## Creating custom functions\n",
@@ -1156,13 +1156,13 @@
   {
    "cell_type": "code",
    "execution_count": 21,
-   "id": "b4ac0af4",
+   "id": "f51cc170",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:32.237191Z",
-     "iopub.status.busy": "2024-09-10T13:50:32.236988Z",
-     "iopub.status.idle": "2024-09-10T13:50:32.246026Z",
-     "shell.execute_reply": "2024-09-10T13:50:32.244645Z"
+     "iopub.execute_input": "2024-09-10T14:14:08.904942Z",
+     "iopub.status.busy": "2024-09-10T14:14:08.904809Z",
+     "iopub.status.idle": "2024-09-10T14:14:08.911139Z",
+     "shell.execute_reply": "2024-09-10T14:14:08.910707Z"
     }
    },
    "outputs": [],
@@ -1172,7 +1172,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ca9a0cd3",
+   "id": "a498b25e",
    "metadata": {},
    "source": [
     "```Function1D``` is the base class for 1D spectral models and ```FunctionMeta``` is a python meta type class that ensures all the needed parts of a model are in the class as well as making the class function as it should.\n",
@@ -1238,7 +1238,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "26dbaa04",
+   "id": "b1226db1",
    "metadata": {},
    "source": [
     "### The docstring\n",
@@ -1281,13 +1281,13 @@
   {
    "cell_type": "code",
    "execution_count": 22,
-   "id": "eaf98f74",
+   "id": "c6cd6445",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:32.249724Z",
-     "iopub.status.busy": "2024-09-10T13:50:32.249478Z",
-     "iopub.status.idle": "2024-09-10T13:50:32.252667Z",
-     "shell.execute_reply": "2024-09-10T13:50:32.251991Z"
+     "iopub.execute_input": "2024-09-10T14:14:08.913114Z",
+     "iopub.status.busy": "2024-09-10T14:14:08.913019Z",
+     "iopub.status.idle": "2024-09-10T14:14:08.918916Z",
+     "shell.execute_reply": "2024-09-10T14:14:08.918523Z"
     }
    },
    "outputs": [],
@@ -1303,13 +1303,13 @@
   {
    "cell_type": "code",
    "execution_count": 23,
-   "id": "e1b65070",
+   "id": "01f797dd",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:32.256913Z",
-     "iopub.status.busy": "2024-09-10T13:50:32.256688Z",
-     "iopub.status.idle": "2024-09-10T13:50:32.261006Z",
-     "shell.execute_reply": "2024-09-10T13:50:32.259924Z"
+     "iopub.execute_input": "2024-09-10T14:14:08.920974Z",
+     "iopub.status.busy": "2024-09-10T14:14:08.920823Z",
+     "iopub.status.idle": "2024-09-10T14:14:08.923867Z",
+     "shell.execute_reply": "2024-09-10T14:14:08.923490Z"
     }
    },
    "outputs": [
@@ -1330,7 +1330,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0a661fe5",
+   "id": "16544621",
    "metadata": {},
    "source": [
     "Now we will define a astromodels function that will handle both the unit and non-unit call."
@@ -1339,13 +1339,13 @@
   {
    "cell_type": "code",
    "execution_count": 24,
-   "id": "c1412b9f",
+   "id": "4341d7e4",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:32.265124Z",
-     "iopub.status.busy": "2024-09-10T13:50:32.264910Z",
-     "iopub.status.idle": "2024-09-10T13:50:32.271143Z",
-     "shell.execute_reply": "2024-09-10T13:50:32.270220Z"
+     "iopub.execute_input": "2024-09-10T14:14:08.925890Z",
+     "iopub.status.busy": "2024-09-10T14:14:08.925750Z",
+     "iopub.status.idle": "2024-09-10T14:14:08.929790Z",
+     "shell.execute_reply": "2024-09-10T14:14:08.929423Z"
     }
    },
    "outputs": [],
@@ -1403,7 +1403,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "47969d3f",
+   "id": "70147142",
    "metadata": {},
    "source": [
     "We can check the unit and non-unit call by making a point source and evaluating it"
@@ -1412,13 +1412,13 @@
   {
    "cell_type": "code",
    "execution_count": 25,
-   "id": "7f225d84",
+   "id": "4aa45f68",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:32.274866Z",
-     "iopub.status.busy": "2024-09-10T13:50:32.274577Z",
-     "iopub.status.idle": "2024-09-10T13:50:32.840739Z",
-     "shell.execute_reply": "2024-09-10T13:50:32.839715Z"
+     "iopub.execute_input": "2024-09-10T14:14:08.931695Z",
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@@ -1456,7 +1456,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a9fc62c0",
+   "id": "8256a46d",
    "metadata": {},
    "source": [
     "## Advanced functions\n",
@@ -1470,13 +1470,13 @@
   {
    "cell_type": "code",
    "execution_count": 26,
-   "id": "6881f044",
+   "id": "aafa5954",
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@@ -1530,7 +1530,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "753ae6f1",
+   "id": "f022e685",
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    "source": [
     "We have added a text parameter called switch and specified the allowed values that it can take on. We can of course allow it to take on any value. Additionally, we have specified a function to call whenever we change the value. This allows use to do things like read in a table from a dictionary or load a file, etc. Properties can be set in the constructor of a function. They behave just like parameters except that they do not participate in the function call. Thus, their state is saved whenever you serialize the model to disk. "
@@ -1539,13 +1539,13 @@
   {
    "cell_type": "code",
    "execution_count": 27,
-   "id": "c2189bf5",
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@@ -1569,7 +1569,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9ed2e917",
+   "id": "82e67ad7",
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    "source": [
     "In the docstring, one can also specify ```defer: True``` which allows you to not set a value until instancing an object. This is useful if you have a model that reads in file at runtime, but the file name is not known until then. Check out the source code of astromodels to see how properties can be used to expand the functionality of your custom models. For example, the absorption models such as ```TbAbs``` take advantage of this to set their abundance tables.\n",
@@ -1582,13 +1582,13 @@
   {
    "cell_type": "code",
    "execution_count": 28,
-   "id": "5b6a9812",
+   "id": "8b8364ee",
    "metadata": {
     "execution": {
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@@ -1658,7 +1658,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "00466670",
+   "id": "160d6547",
    "metadata": {},
    "source": [
     "With this function, whenever we set the linked_function property to another astromodels function, its call will return that function redshifted."
@@ -1667,13 +1667,13 @@
   {
    "cell_type": "code",
    "execution_count": 29,
-   "id": "1fa92993",
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-     "shell.execute_reply": "2024-09-10T13:50:33.014522Z"
+     "iopub.execute_input": "2024-09-10T14:14:09.503005Z",
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@@ -1701,7 +1701,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a0958cbe",
+   "id": "55f32325",
    "metadata": {},
    "source": [
     "We have added a lot of syntax sugar to make it easier for users to handle the function, but every function in astromodels has the members ```f.link_external_function(func, 'internal_name')```  and ```f.unlink_external_function('internal_name')```. You can link as many functions as needed and they are accessed via an internal dictionary ```self._extranal_functions```. As long as all functions used are part of the model, all the linking is saved when a model is saved to disk allowing you to restore all the complexity you built. "
diff --git a/notebooks/Gamma.ipynb b/notebooks/Gamma.ipynb
index 266e9ae8..64c9e354 100644
--- a/notebooks/Gamma.ipynb
+++ b/notebooks/Gamma.ipynb
@@ -2,13 +2,13 @@
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@@ -20,20 +20,20 @@
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@@ -60,20 +60,20 @@
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@@ -90,19 +90,19 @@
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@@ -119,21 +119,21 @@
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@@ -160,14 +160,14 @@
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@@ -179,19 +179,19 @@
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@@ -295,13 +295,13 @@
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@@ -317,19 +317,19 @@
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@@ -370,13 +370,13 @@
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@@ -390,19 +390,19 @@
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-   "id": "c00ce8e9",
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@@ -420,7 +420,7 @@
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",
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",
       "text/plain": [
        "
"
       ]
@@ -471,8 +471,8 @@
   },
   "papermill": {
    "default_parameters": {},
-   "duration": 2.868348,
-   "end_time": "2024-09-10T13:53:37.600829",
+   "duration": 2.984981,
+   "end_time": "2024-09-10T14:17:21.511052",
    "environment_variables": {},
    "exception": null,
    "input_path": "Gamma.ipynb",
@@ -481,7 +481,7 @@
     "func_name": "Gamma",
     "positive_prior": true
    },
-   "start_time": "2024-09-10T13:53:34.732481",
+   "start_time": "2024-09-10T14:17:18.526071",
    "version": "2.6.0"
   }
  },
diff --git a/notebooks/Gaussian.ipynb b/notebooks/Gaussian.ipynb
index a04f6ec9..2a4dcd58 100644
--- a/notebooks/Gaussian.ipynb
+++ b/notebooks/Gaussian.ipynb
@@ -2,13 +2,13 @@
  "cells": [
   {
    "cell_type": "markdown",
-   "id": "05731ce9",
+   "id": "439f4872",
    "metadata": {
     "papermill": {
-     "duration": 0.009045,
-     "end_time": "2024-09-10T13:53:13.802181",
+     "duration": 0.009974,
+     "end_time": "2024-09-10T14:16:55.332136",
      "exception": false,
-     "start_time": "2024-09-10T13:53:13.793136",
+     "start_time": "2024-09-10T14:16:55.322162",
      "status": "completed"
     },
     "tags": []
@@ -20,20 +20,20 @@
   {
    "cell_type": "code",
    "execution_count": 1,
-   "id": "a424461d",
+   "id": "1a874ac7",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:53:13.818406Z",
-     "iopub.status.busy": "2024-09-10T13:53:13.817507Z",
-     "iopub.status.idle": "2024-09-10T13:53:15.243476Z",
-     "shell.execute_reply": "2024-09-10T13:53:15.242999Z"
+     "iopub.execute_input": "2024-09-10T14:16:55.345088Z",
+     "iopub.status.busy": "2024-09-10T14:16:55.344380Z",
+     "iopub.status.idle": "2024-09-10T14:16:56.758368Z",
+     "shell.execute_reply": "2024-09-10T14:16:56.757852Z"
     },
     "nbsphinx": "hidden",
     "papermill": {
-     "duration": 1.435621,
-     "end_time": "2024-09-10T13:53:15.244976",
+     "duration": 1.422137,
+     "end_time": "2024-09-10T14:16:56.759912",
      "exception": false,
-     "start_time": "2024-09-10T13:53:13.809355",
+     "start_time": "2024-09-10T14:16:55.337775",
      "status": "completed"
     },
     "tags": []
@@ -60,20 +60,20 @@
   {
    "cell_type": "code",
    "execution_count": 2,
-   "id": "f37a7ef8",
+   "id": "1fea9ee6",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:53:15.248064Z",
-     "iopub.status.busy": "2024-09-10T13:53:15.247749Z",
-     "iopub.status.idle": "2024-09-10T13:53:15.256188Z",
-     "shell.execute_reply": "2024-09-10T13:53:15.255741Z"
+     "iopub.execute_input": "2024-09-10T14:16:56.763022Z",
+     "iopub.status.busy": "2024-09-10T14:16:56.762689Z",
+     "iopub.status.idle": "2024-09-10T14:16:56.771023Z",
+     "shell.execute_reply": "2024-09-10T14:16:56.770659Z"
     },
     "nbsphinx": "hidden",
     "papermill": {
-     "duration": 0.011332,
-     "end_time": "2024-09-10T13:53:15.257500",
+     "duration": 0.011263,
+     "end_time": "2024-09-10T14:16:56.772364",
      "exception": false,
-     "start_time": "2024-09-10T13:53:15.246168",
+     "start_time": "2024-09-10T14:16:56.761101",
      "status": "completed"
     },
     "tags": [
@@ -90,19 +90,19 @@
   {
    "cell_type": "code",
    "execution_count": 3,
-   "id": "0783d507",
+   "id": "c7b83a63",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:53:15.260109Z",
-     "iopub.status.busy": "2024-09-10T13:53:15.259967Z",
-     "iopub.status.idle": "2024-09-10T13:53:15.267663Z",
-     "shell.execute_reply": "2024-09-10T13:53:15.267265Z"
+     "iopub.execute_input": "2024-09-10T14:16:56.775001Z",
+     "iopub.status.busy": "2024-09-10T14:16:56.774853Z",
+     "iopub.status.idle": "2024-09-10T14:16:56.782781Z",
+     "shell.execute_reply": "2024-09-10T14:16:56.782412Z"
     },
     "papermill": {
-     "duration": 0.010369,
-     "end_time": "2024-09-10T13:53:15.268882",
+     "duration": 0.010682,
+     "end_time": "2024-09-10T14:16:56.784083",
      "exception": false,
-     "start_time": "2024-09-10T13:53:15.258513",
+     "start_time": "2024-09-10T14:16:56.773401",
      "status": "completed"
     },
     "tags": [
@@ -119,21 +119,21 @@
   {
    "cell_type": "code",
    "execution_count": 4,
-   "id": "61711fa2",
+   "id": "9eb1ed1b",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:53:15.271560Z",
-     "iopub.status.busy": "2024-09-10T13:53:15.271421Z",
-     "iopub.status.idle": "2024-09-10T13:53:15.280452Z",
-     "shell.execute_reply": "2024-09-10T13:53:15.280072Z"
+     "iopub.execute_input": "2024-09-10T14:16:56.786870Z",
+     "iopub.status.busy": "2024-09-10T14:16:56.786728Z",
+     "iopub.status.idle": "2024-09-10T14:16:56.789489Z",
+     "shell.execute_reply": "2024-09-10T14:16:56.789107Z"
     },
     "lines_to_next_cell": 0,
     "nbsphinx": "hidden",
     "papermill": {
-     "duration": 0.011844,
-     "end_time": "2024-09-10T13:53:15.281711",
+     "duration": 0.005592,
+     "end_time": "2024-09-10T14:16:56.790742",
      "exception": false,
-     "start_time": "2024-09-10T13:53:15.269867",
+     "start_time": "2024-09-10T14:16:56.785150",
      "status": "completed"
     },
     "tags": []
@@ -160,14 +160,14 @@
   },
   {
    "cell_type": "markdown",
-   "id": "67d8df22",
+   "id": "51348eda",
    "metadata": {
     "lines_to_next_cell": 0,
     "papermill": {
-     "duration": 0.001024,
-     "end_time": "2024-09-10T13:53:15.283811",
+     "duration": 0.001015,
+     "end_time": "2024-09-10T14:16:56.792798",
      "exception": false,
-     "start_time": "2024-09-10T13:53:15.282787",
+     "start_time": "2024-09-10T14:16:56.791783",
      "status": "completed"
     },
     "tags": []
@@ -179,19 +179,19 @@
   {
    "cell_type": "code",
    "execution_count": 5,
-   "id": "94c73a31",
+   "id": "f445c529",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:53:15.286347Z",
-     "iopub.status.busy": "2024-09-10T13:53:15.286216Z",
-     "iopub.status.idle": "2024-09-10T13:53:15.290207Z",
-     "shell.execute_reply": "2024-09-10T13:53:15.289753Z"
+     "iopub.execute_input": "2024-09-10T14:16:56.795379Z",
+     "iopub.status.busy": "2024-09-10T14:16:56.795240Z",
+     "iopub.status.idle": "2024-09-10T14:16:56.799251Z",
+     "shell.execute_reply": "2024-09-10T14:16:56.798773Z"
     },
     "papermill": {
-     "duration": 0.006696,
-     "end_time": "2024-09-10T13:53:15.291481",
+     "duration": 0.006753,
+     "end_time": "2024-09-10T14:16:56.800520",
      "exception": false,
-     "start_time": "2024-09-10T13:53:15.284785",
+     "start_time": "2024-09-10T14:16:56.793767",
      "status": "completed"
     },
     "tags": []
@@ -327,13 +327,13 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e42b2857",
+   "id": "2f2fbb32",
    "metadata": {
     "papermill": {
-     "duration": 0.00107,
-     "end_time": "2024-09-10T13:53:15.293671",
+     "duration": 0.001128,
+     "end_time": "2024-09-10T14:16:56.802770",
      "exception": false,
-     "start_time": "2024-09-10T13:53:15.292601",
+     "start_time": "2024-09-10T14:16:56.801642",
      "status": "completed"
     },
     "tags": []
@@ -349,19 +349,19 @@
   {
    "cell_type": "code",
    "execution_count": 6,
-   "id": "b79b9d93",
+   "id": "2f7ef523",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:53:15.296447Z",
-     "iopub.status.busy": "2024-09-10T13:53:15.296299Z",
-     "iopub.status.idle": "2024-09-10T13:53:15.396460Z",
-     "shell.execute_reply": "2024-09-10T13:53:15.396105Z"
+     "iopub.execute_input": "2024-09-10T14:16:56.805592Z",
+     "iopub.status.busy": "2024-09-10T14:16:56.805452Z",
+     "iopub.status.idle": "2024-09-10T14:16:56.909886Z",
+     "shell.execute_reply": "2024-09-10T14:16:56.909478Z"
     },
     "papermill": {
-     "duration": 0.103243,
-     "end_time": "2024-09-10T13:53:15.397933",
+     "duration": 0.107315,
+     "end_time": "2024-09-10T14:16:56.911164",
      "exception": false,
-     "start_time": "2024-09-10T13:53:15.294690",
+     "start_time": "2024-09-10T14:16:56.803849",
      "status": "completed"
     },
     "tags": [
@@ -402,13 +402,13 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0a4c3592",
+   "id": "471190be",
    "metadata": {
     "papermill": {
-     "duration": 0.001628,
-     "end_time": "2024-09-10T13:53:15.401652",
+     "duration": 0.001393,
+     "end_time": "2024-09-10T14:16:56.914580",
      "exception": false,
-     "start_time": "2024-09-10T13:53:15.400024",
+     "start_time": "2024-09-10T14:16:56.913187",
      "status": "completed"
     },
     "tags": []
@@ -422,19 +422,19 @@
   {
    "cell_type": "code",
    "execution_count": 7,
-   "id": "f5b0f43b",
+   "id": "5d7068a7",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:53:15.405195Z",
-     "iopub.status.busy": "2024-09-10T13:53:15.405053Z",
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-     "shell.execute_reply": "2024-09-10T13:53:15.523291Z"
+     "iopub.execute_input": "2024-09-10T14:16:56.917914Z",
+     "iopub.status.busy": "2024-09-10T14:16:56.917772Z",
+     "iopub.status.idle": "2024-09-10T14:16:57.031902Z",
+     "shell.execute_reply": "2024-09-10T14:16:57.031578Z"
     },
     "papermill": {
-     "duration": 0.121984,
-     "end_time": "2024-09-10T13:53:15.524992",
+     "duration": 0.117373,
+     "end_time": "2024-09-10T14:16:57.033285",
      "exception": false,
-     "start_time": "2024-09-10T13:53:15.403008",
+     "start_time": "2024-09-10T14:16:56.915912",
      "status": "completed"
     },
     "tags": []
@@ -452,7 +452,7 @@
     },
     {
      "data": {
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",
+      "image/png": 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",
       "text/plain": [
        "
"
       ]
@@ -503,8 +503,8 @@
   },
   "papermill": {
    "default_parameters": {},
-   "duration": 2.633987,
-   "end_time": "2024-09-10T13:53:15.854653",
+   "duration": 2.82576,
+   "end_time": "2024-09-10T14:16:57.467936",
    "environment_variables": {},
    "exception": null,
    "input_path": "Gaussian.ipynb",
@@ -513,7 +513,7 @@
     "func_name": "Gaussian",
     "positive_prior": false
    },
-   "start_time": "2024-09-10T13:53:13.220666",
+   "start_time": "2024-09-10T14:16:54.642176",
    "version": "2.6.0"
   }
  },
diff --git a/notebooks/Gaussian_on_sphere.ipynb b/notebooks/Gaussian_on_sphere.ipynb
index a7521732..05ab9eb7 100644
--- a/notebooks/Gaussian_on_sphere.ipynb
+++ b/notebooks/Gaussian_on_sphere.ipynb
@@ -2,13 +2,13 @@
  "cells": [
   {
    "cell_type": "markdown",
-   "id": "52e419a6",
+   "id": "fb0c9633",
    "metadata": {
     "papermill": {
-     "duration": 0.005478,
-     "end_time": "2024-09-10T13:52:59.549805",
+     "duration": 0.009241,
+     "end_time": "2024-09-10T14:16:41.239734",
      "exception": false,
-     "start_time": "2024-09-10T13:52:59.544327",
+     "start_time": "2024-09-10T14:16:41.230493",
      "status": "completed"
     },
     "tags": []
@@ -20,20 +20,20 @@
   {
    "cell_type": "code",
    "execution_count": 1,
-   "id": "837ab4a5",
+   "id": "3c34832b",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:52:59.563129Z",
-     "iopub.status.busy": "2024-09-10T13:52:59.562435Z",
-     "iopub.status.idle": "2024-09-10T13:53:01.220472Z",
-     "shell.execute_reply": "2024-09-10T13:53:01.219981Z"
+     "iopub.execute_input": "2024-09-10T14:16:41.254427Z",
+     "iopub.status.busy": "2024-09-10T14:16:41.253632Z",
+     "iopub.status.idle": "2024-09-10T14:16:42.925386Z",
+     "shell.execute_reply": "2024-09-10T14:16:42.924883Z"
     },
     "nbsphinx": "hidden",
     "papermill": {
-     "duration": 1.666333,
-     "end_time": "2024-09-10T13:53:01.222206",
+     "duration": 1.680786,
+     "end_time": "2024-09-10T14:16:42.927027",
      "exception": false,
-     "start_time": "2024-09-10T13:52:59.555873",
+     "start_time": "2024-09-10T14:16:41.246241",
      "status": "completed"
     },
     "tags": []
@@ -68,20 +68,20 @@
   {
    "cell_type": "code",
    "execution_count": 2,
-   "id": "b9de4352",
+   "id": "c4ef2808",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:53:01.225438Z",
-     "iopub.status.busy": "2024-09-10T13:53:01.225097Z",
-     "iopub.status.idle": "2024-09-10T13:53:01.227301Z",
-     "shell.execute_reply": "2024-09-10T13:53:01.226927Z"
+     "iopub.execute_input": "2024-09-10T14:16:42.930119Z",
+     "iopub.status.busy": "2024-09-10T14:16:42.929802Z",
+     "iopub.status.idle": "2024-09-10T14:16:42.932281Z",
+     "shell.execute_reply": "2024-09-10T14:16:42.931913Z"
     },
     "nbsphinx": "hidden",
     "papermill": {
-     "duration": 0.005015,
-     "end_time": "2024-09-10T13:53:01.228590",
+     "duration": 0.005534,
+     "end_time": "2024-09-10T14:16:42.933750",
      "exception": false,
-     "start_time": "2024-09-10T13:53:01.223575",
+     "start_time": "2024-09-10T14:16:42.928216",
      "status": "completed"
     },
     "tags": [
@@ -96,19 +96,19 @@
   {
    "cell_type": "code",
    "execution_count": 3,
-   "id": "7ec0783b",
+   "id": "b90bc295",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:53:01.231017Z",
-     "iopub.status.busy": "2024-09-10T13:53:01.230865Z",
-     "iopub.status.idle": "2024-09-10T13:53:01.236993Z",
-     "shell.execute_reply": "2024-09-10T13:53:01.236592Z"
+     "iopub.execute_input": "2024-09-10T14:16:42.936264Z",
+     "iopub.status.busy": "2024-09-10T14:16:42.936108Z",
+     "iopub.status.idle": "2024-09-10T14:16:42.941942Z",
+     "shell.execute_reply": "2024-09-10T14:16:42.941586Z"
     },
     "papermill": {
-     "duration": 0.008745,
-     "end_time": "2024-09-10T13:53:01.238260",
+     "duration": 0.008437,
+     "end_time": "2024-09-10T14:16:42.943134",
      "exception": false,
-     "start_time": "2024-09-10T13:53:01.229515",
+     "start_time": "2024-09-10T14:16:42.934697",
      "status": "completed"
     },
     "tags": [
@@ -124,21 +124,21 @@
   {
    "cell_type": "code",
    "execution_count": 4,
-   "id": "fb5dae12",
+   "id": "dbb3f537",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:53:01.241794Z",
-     "iopub.status.busy": "2024-09-10T13:53:01.241586Z",
-     "iopub.status.idle": "2024-09-10T13:53:01.253917Z",
-     "shell.execute_reply": "2024-09-10T13:53:01.253447Z"
+     "iopub.execute_input": "2024-09-10T14:16:42.945433Z",
+     "iopub.status.busy": "2024-09-10T14:16:42.945302Z",
+     "iopub.status.idle": "2024-09-10T14:16:42.956746Z",
+     "shell.execute_reply": "2024-09-10T14:16:42.956306Z"
     },
     "lines_to_next_cell": 0,
     "nbsphinx": "hidden",
     "papermill": {
-     "duration": 0.016081,
-     "end_time": "2024-09-10T13:53:01.255258",
+     "duration": 0.014074,
+     "end_time": "2024-09-10T14:16:42.958078",
      "exception": false,
-     "start_time": "2024-09-10T13:53:01.239177",
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diff --git a/notebooks/Inverse_cutoff_powerlaw.ipynb b/notebooks/Inverse_cutoff_powerlaw.ipynb
index a0b725c0..81d0b3b3 100644
--- a/notebooks/Inverse_cutoff_powerlaw.ipynb
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diff --git a/notebooks/Latitude_galactic_diffuse.ipynb b/notebooks/Latitude_galactic_diffuse.ipynb
index 19f6bae1..78735af5 100644
--- a/notebooks/Latitude_galactic_diffuse.ipynb
+++ b/notebooks/Latitude_galactic_diffuse.ipynb
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@@ -68,20 +68,20 @@
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@@ -96,19 +96,19 @@
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@@ -124,21 +124,21 @@
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@@ -155,14 +155,14 @@
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@@ -174,19 +174,19 @@
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@@ -354,14 +354,14 @@
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@@ -375,19 +375,19 @@
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@@ -440,8 +440,8 @@
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@@ -449,7 +449,7 @@
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+   "start_time": "2024-09-10T14:16:37.820750",
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diff --git a/notebooks/Line.ipynb b/notebooks/Line.ipynb
index 79a8eb3e..d7f1fc33 100644
--- a/notebooks/Line.ipynb
+++ b/notebooks/Line.ipynb
@@ -2,13 +2,13 @@
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@@ -20,20 +20,20 @@
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@@ -60,20 +60,20 @@
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@@ -95,19 +95,19 @@
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@@ -127,21 +127,21 @@
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@@ -170,14 +170,14 @@
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@@ -189,19 +189,19 @@
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@@ -305,13 +305,13 @@
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@@ -327,19 +327,19 @@
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@@ -372,14 +372,14 @@
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@@ -394,19 +394,19 @@
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@@ -438,13 +438,13 @@
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@@ -459,19 +459,19 @@
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@@ -524,8 +524,8 @@
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@@ -537,7 +537,7 @@
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diff --git a/notebooks/Log_normal.ipynb b/notebooks/Log_normal.ipynb
index d77a390f..428caa5b 100644
--- a/notebooks/Log_normal.ipynb
+++ b/notebooks/Log_normal.ipynb
@@ -2,13 +2,13 @@
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@@ -20,20 +20,20 @@
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@@ -60,20 +60,20 @@
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@@ -90,19 +90,19 @@
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@@ -119,21 +119,21 @@
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@@ -160,14 +160,14 @@
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@@ -179,19 +179,19 @@
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@@ -360,13 +360,13 @@
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@@ -382,19 +382,19 @@
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@@ -435,13 +435,13 @@
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@@ -455,19 +455,19 @@
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@@ -485,7 +485,7 @@
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",
+      "image/png": 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",
       "text/plain": [
        "
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       ]
@@ -536,8 +536,8 @@
   },
   "papermill": {
    "default_parameters": {},
-   "duration": 2.767654,
-   "end_time": "2024-09-10T13:53:26.658844",
+   "duration": 3.01003,
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@@ -546,7 +546,7 @@
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diff --git a/notebooks/Log_parabola.ipynb b/notebooks/Log_parabola.ipynb
index e9267799..59a8e5c4 100644
--- a/notebooks/Log_parabola.ipynb
+++ b/notebooks/Log_parabola.ipynb
@@ -2,13 +2,13 @@
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@@ -373,13 +373,13 @@
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@@ -462,19 +462,19 @@
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@@ -506,13 +506,13 @@
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@@ -527,19 +527,19 @@
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@@ -592,8 +592,8 @@
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@@ -605,7 +605,7 @@
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diff --git a/notebooks/Log_uniform_prior.ipynb b/notebooks/Log_uniform_prior.ipynb
index 121ea6c1..0f893c53 100644
--- a/notebooks/Log_uniform_prior.ipynb
+++ b/notebooks/Log_uniform_prior.ipynb
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@@ -60,20 +60,20 @@
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@@ -160,14 +160,14 @@
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-   "id": "44f88f21",
+   "id": "04b30929",
    "metadata": {
     "lines_to_next_cell": 0,
     "papermill": {
-     "duration": 0.000996,
-     "end_time": "2024-09-10T13:53:31.369252",
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-     "start_time": "2024-09-10T13:53:31.368256",
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     "tags": []
@@ -179,19 +179,19 @@
   {
    "cell_type": "code",
    "execution_count": 5,
-   "id": "924b903d",
+   "id": "d1df6adf",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:53:31.371752Z",
-     "iopub.status.busy": "2024-09-10T13:53:31.371611Z",
-     "iopub.status.idle": "2024-09-10T13:53:31.381905Z",
-     "shell.execute_reply": "2024-09-10T13:53:31.381493Z"
+     "iopub.execute_input": "2024-09-10T14:17:14.583681Z",
+     "iopub.status.busy": "2024-09-10T14:17:14.583531Z",
+     "iopub.status.idle": "2024-09-10T14:17:14.591868Z",
+     "shell.execute_reply": "2024-09-10T14:17:14.591493Z"
     },
     "papermill": {
-     "duration": 0.012957,
-     "end_time": "2024-09-10T13:53:31.383120",
+     "duration": 0.011088,
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-     "start_time": "2024-09-10T13:53:31.370163",
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     "tags": []
@@ -330,13 +330,13 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1e15923a",
+   "id": "80e6ca8c",
    "metadata": {
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-     "end_time": "2024-09-10T13:53:31.385437",
+     "duration": 0.001135,
+     "end_time": "2024-09-10T14:17:14.595493",
      "exception": false,
-     "start_time": "2024-09-10T13:53:31.384312",
+     "start_time": "2024-09-10T14:17:14.594358",
      "status": "completed"
     },
     "tags": []
@@ -352,19 +352,19 @@
   {
    "cell_type": "code",
    "execution_count": 6,
-   "id": "e218b775",
+   "id": "06d6112d",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:53:31.388324Z",
-     "iopub.status.busy": "2024-09-10T13:53:31.388177Z",
-     "iopub.status.idle": "2024-09-10T13:53:31.483158Z",
-     "shell.execute_reply": "2024-09-10T13:53:31.482769Z"
+     "iopub.execute_input": "2024-09-10T14:17:14.598287Z",
+     "iopub.status.busy": "2024-09-10T14:17:14.598139Z",
+     "iopub.status.idle": "2024-09-10T14:17:14.701853Z",
+     "shell.execute_reply": "2024-09-10T14:17:14.700243Z"
     },
     "papermill": {
-     "duration": 0.097871,
-     "end_time": "2024-09-10T13:53:31.484448",
+     "duration": 0.10677,
+     "end_time": "2024-09-10T14:17:14.703339",
      "exception": false,
-     "start_time": "2024-09-10T13:53:31.386577",
+     "start_time": "2024-09-10T14:17:14.596569",
      "status": "completed"
     },
     "tags": [
@@ -405,13 +405,13 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e78aefb8",
+   "id": "fb6bbeb5",
    "metadata": {
     "papermill": {
-     "duration": 0.001339,
-     "end_time": "2024-09-10T13:53:31.487402",
+     "duration": 0.006704,
+     "end_time": "2024-09-10T14:17:14.716819",
      "exception": false,
-     "start_time": "2024-09-10T13:53:31.486063",
+     "start_time": "2024-09-10T14:17:14.710115",
      "status": "completed"
     },
     "tags": []
@@ -425,19 +425,19 @@
   {
    "cell_type": "code",
    "execution_count": 7,
-   "id": "e382e425",
+   "id": "0d590831",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:53:31.490718Z",
-     "iopub.status.busy": "2024-09-10T13:53:31.490545Z",
-     "iopub.status.idle": "2024-09-10T13:53:31.598743Z",
-     "shell.execute_reply": "2024-09-10T13:53:31.598408Z"
+     "iopub.execute_input": "2024-09-10T14:17:14.725886Z",
+     "iopub.status.busy": "2024-09-10T14:17:14.725709Z",
+     "iopub.status.idle": "2024-09-10T14:17:14.835736Z",
+     "shell.execute_reply": "2024-09-10T14:17:14.835416Z"
     },
     "papermill": {
-     "duration": 0.111514,
-     "end_time": "2024-09-10T13:53:31.600213",
+     "duration": 0.1138,
+     "end_time": "2024-09-10T14:17:14.837139",
      "exception": false,
-     "start_time": "2024-09-10T13:53:31.488699",
+     "start_time": "2024-09-10T14:17:14.723339",
      "status": "completed"
     },
     "tags": []
@@ -455,7 +455,7 @@
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",
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",
       "text/plain": [
        "
"
       ]
@@ -506,8 +506,8 @@
   },
   "papermill": {
    "default_parameters": {},
-   "duration": 2.495924,
-   "end_time": "2024-09-10T13:53:31.929220",
+   "duration": 3.014918,
+   "end_time": "2024-09-10T14:17:15.264734",
    "environment_variables": {},
    "exception": null,
    "input_path": "Log_uniform_prior.ipynb",
@@ -516,7 +516,7 @@
     "func_name": "Log_uniform_prior",
     "positive_prior": true
    },
-   "start_time": "2024-09-10T13:53:29.433296",
+   "start_time": "2024-09-10T14:17:12.249816",
    "version": "2.6.0"
   }
  },
diff --git a/notebooks/Model_tutorial.ipynb b/notebooks/Model_tutorial.ipynb
index 9c2c9a98..200e94bd 100644
--- a/notebooks/Model_tutorial.ipynb
+++ b/notebooks/Model_tutorial.ipynb
@@ -2,7 +2,7 @@
  "cells": [
   {
    "cell_type": "markdown",
-   "id": "8c5a0c52",
+   "id": "fafa0143",
    "metadata": {},
    "source": [
     "# Model tutorial\n",
@@ -15,13 +15,13 @@
   {
    "cell_type": "code",
    "execution_count": 1,
-   "id": "fed7383a",
+   "id": "ca27a457",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:34.223966Z",
-     "iopub.status.busy": "2024-09-10T13:50:34.223593Z",
-     "iopub.status.idle": "2024-09-10T13:50:35.682872Z",
-     "shell.execute_reply": "2024-09-10T13:50:35.682006Z"
+     "iopub.execute_input": "2024-09-10T14:14:10.659755Z",
+     "iopub.status.busy": "2024-09-10T14:14:10.659327Z",
+     "iopub.status.idle": "2024-09-10T14:14:11.900498Z",
+     "shell.execute_reply": "2024-09-10T14:14:11.899838Z"
     }
    },
    "outputs": [],
@@ -36,7 +36,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "03206251",
+   "id": "c2360113",
    "metadata": {},
    "source": [
     "## Define sources\n",
@@ -47,13 +47,13 @@
   {
    "cell_type": "code",
    "execution_count": 2,
-   "id": "36cae366",
+   "id": "3743370d",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:35.686653Z",
-     "iopub.status.busy": "2024-09-10T13:50:35.686200Z",
-     "iopub.status.idle": "2024-09-10T13:50:35.697958Z",
-     "shell.execute_reply": "2024-09-10T13:50:35.697311Z"
+     "iopub.execute_input": "2024-09-10T14:14:11.903546Z",
+     "iopub.status.busy": "2024-09-10T14:14:11.903118Z",
+     "iopub.status.idle": "2024-09-10T14:14:11.919126Z",
+     "shell.execute_reply": "2024-09-10T14:14:11.917245Z"
     }
    },
    "outputs": [
@@ -295,7 +295,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8f3a37d6",
+   "id": "25c02e3c",
    "metadata": {},
    "source": [
     "Now let’s define another source, this time at Galactic Coordinates l = 11.25, b = -22.5, and with two spectral components:"
@@ -304,13 +304,13 @@
   {
    "cell_type": "code",
    "execution_count": 3,
-   "id": "1d88b061",
+   "id": "92eafd33",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:35.701368Z",
-     "iopub.status.busy": "2024-09-10T13:50:35.701178Z",
-     "iopub.status.idle": "2024-09-10T13:50:35.709199Z",
-     "shell.execute_reply": "2024-09-10T13:50:35.708618Z"
+     "iopub.execute_input": "2024-09-10T14:14:11.923069Z",
+     "iopub.status.busy": "2024-09-10T14:14:11.922845Z",
+     "iopub.status.idle": "2024-09-10T14:14:11.936870Z",
+     "shell.execute_reply": "2024-09-10T14:14:11.935797Z"
     }
    },
    "outputs": [
@@ -615,7 +615,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "838b43e2",
+   "id": "19565954",
    "metadata": {},
    "source": [
     "## Create a model\n",
@@ -626,13 +626,13 @@
   {
    "cell_type": "code",
    "execution_count": 4,
-   "id": "99f0f309",
+   "id": "ccfe3b16",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:35.712905Z",
-     "iopub.status.busy": "2024-09-10T13:50:35.712703Z",
-     "iopub.status.idle": "2024-09-10T13:50:35.720688Z",
-     "shell.execute_reply": "2024-09-10T13:50:35.720025Z"
+     "iopub.execute_input": "2024-09-10T14:14:11.945933Z",
+     "iopub.status.busy": "2024-09-10T14:14:11.945706Z",
+     "iopub.status.idle": "2024-09-10T14:14:11.951795Z",
+     "shell.execute_reply": "2024-09-10T14:14:11.951046Z"
     }
    },
    "outputs": [],
@@ -644,7 +644,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9a57b5d6",
+   "id": "f1a9cf2e",
    "metadata": {},
    "source": [
     "Of course you can use as many sources as needed, like my_model = Model(pts1, pts2, pts3…)\n",
@@ -657,13 +657,13 @@
   {
    "cell_type": "code",
    "execution_count": 5,
-   "id": "fcf5aebc",
+   "id": "102b48b9",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:35.724091Z",
-     "iopub.status.busy": "2024-09-10T13:50:35.723848Z",
-     "iopub.status.idle": "2024-09-10T13:50:35.753705Z",
-     "shell.execute_reply": "2024-09-10T13:50:35.753055Z"
+     "iopub.execute_input": "2024-09-10T14:14:11.954830Z",
+     "iopub.status.busy": "2024-09-10T14:14:11.954626Z",
+     "iopub.status.idle": "2024-09-10T14:14:11.993170Z",
+     "shell.execute_reply": "2024-09-10T14:14:11.992722Z"
     }
    },
    "outputs": [
@@ -841,7 +841,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "497968e0",
+   "id": "3cd9ea93",
    "metadata": {},
    "source": [
     "The model tree can be shown as:"
@@ -850,13 +850,13 @@
   {
    "cell_type": "code",
    "execution_count": 6,
-   "id": "f14e275f",
+   "id": "72cc80fd",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:35.756904Z",
-     "iopub.status.busy": "2024-09-10T13:50:35.756724Z",
-     "iopub.status.idle": "2024-09-10T13:50:35.763563Z",
-     "shell.execute_reply": "2024-09-10T13:50:35.762597Z"
+     "iopub.execute_input": "2024-09-10T14:14:11.995378Z",
+     "iopub.status.busy": "2024-09-10T14:14:11.995253Z",
+     "iopub.status.idle": "2024-09-10T14:14:12.000297Z",
+     "shell.execute_reply": "2024-09-10T14:14:11.999922Z"
     }
    },
    "outputs": [
@@ -937,7 +937,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7cac720a",
+   "id": "cbe3026b",
    "metadata": {},
    "source": [
     "A dictionary of free parameters can be obtained like this:"
@@ -946,13 +946,13 @@
   {
    "cell_type": "code",
    "execution_count": 7,
-   "id": "c09bd7df",
+   "id": "45f76d7f",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:35.767100Z",
-     "iopub.status.busy": "2024-09-10T13:50:35.766902Z",
-     "iopub.status.idle": "2024-09-10T13:50:35.770072Z",
-     "shell.execute_reply": "2024-09-10T13:50:35.769287Z"
+     "iopub.execute_input": "2024-09-10T14:14:12.002242Z",
+     "iopub.status.busy": "2024-09-10T14:14:12.002107Z",
+     "iopub.status.idle": "2024-09-10T14:14:12.008800Z",
+     "shell.execute_reply": "2024-09-10T14:14:12.008359Z"
     }
    },
    "outputs": [],
@@ -962,7 +962,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "74c5f1c8",
+   "id": "4e9006e4",
    "metadata": {},
    "source": [
     "We can use such dictionary to loop over all free parameters:"
@@ -971,13 +971,13 @@
   {
    "cell_type": "code",
    "execution_count": 8,
-   "id": "64704c34",
+   "id": "a43961f0",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:35.773213Z",
-     "iopub.status.busy": "2024-09-10T13:50:35.773062Z",
-     "iopub.status.idle": "2024-09-10T13:50:35.777155Z",
-     "shell.execute_reply": "2024-09-10T13:50:35.776075Z"
+     "iopub.execute_input": "2024-09-10T14:14:12.010708Z",
+     "iopub.status.busy": "2024-09-10T14:14:12.010602Z",
+     "iopub.status.idle": "2024-09-10T14:14:12.013735Z",
+     "shell.execute_reply": "2024-09-10T14:14:12.012985Z"
     }
    },
    "outputs": [
@@ -1002,7 +1002,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1dca5ae8",
+   "id": "796316ab",
    "metadata": {},
    "source": [
     "More information on a particular source can be obtained like:"
@@ -1011,13 +1011,13 @@
   {
    "cell_type": "code",
    "execution_count": 9,
-   "id": "fb578cab",
+   "id": "2f8c3945",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:35.780629Z",
-     "iopub.status.busy": "2024-09-10T13:50:35.780271Z",
-     "iopub.status.idle": "2024-09-10T13:50:35.791081Z",
-     "shell.execute_reply": "2024-09-10T13:50:35.790514Z"
+     "iopub.execute_input": "2024-09-10T14:14:12.017232Z",
+     "iopub.status.busy": "2024-09-10T14:14:12.017032Z",
+     "iopub.status.idle": "2024-09-10T14:14:12.021532Z",
+     "shell.execute_reply": "2024-09-10T14:14:12.021142Z"
     }
    },
    "outputs": [
@@ -1215,7 +1215,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "86cfcf46",
+   "id": "50b4cdbb",
    "metadata": {},
    "source": [
     "More information about a particular instance of a function can be obtained like:"
@@ -1224,13 +1224,13 @@
   {
    "cell_type": "code",
    "execution_count": 10,
-   "id": "15797954",
+   "id": "ed859dd6",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:35.794431Z",
-     "iopub.status.busy": "2024-09-10T13:50:35.794221Z",
-     "iopub.status.idle": "2024-09-10T13:50:35.800079Z",
-     "shell.execute_reply": "2024-09-10T13:50:35.799264Z"
+     "iopub.execute_input": "2024-09-10T14:14:12.023501Z",
+     "iopub.status.busy": "2024-09-10T14:14:12.023361Z",
+     "iopub.status.idle": "2024-09-10T14:14:12.027173Z",
+     "shell.execute_reply": "2024-09-10T14:14:12.026687Z"
     }
    },
    "outputs": [
@@ -1364,7 +1364,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c1cc6c64",
+   "id": "49d1d2f1",
    "metadata": {},
    "source": [
     "## Accessing and modifying sources and parameters from the model instance\n",
@@ -1377,13 +1377,13 @@
   {
    "cell_type": "code",
    "execution_count": 11,
-   "id": "011d496a",
+   "id": "15963fe0",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:35.803595Z",
-     "iopub.status.busy": "2024-09-10T13:50:35.803401Z",
-     "iopub.status.idle": "2024-09-10T13:50:35.813780Z",
-     "shell.execute_reply": "2024-09-10T13:50:35.813120Z"
+     "iopub.execute_input": "2024-09-10T14:14:12.029174Z",
+     "iopub.status.busy": "2024-09-10T14:14:12.029059Z",
+     "iopub.status.idle": "2024-09-10T14:14:12.039056Z",
+     "shell.execute_reply": "2024-09-10T14:14:12.038589Z"
     }
    },
    "outputs": [
@@ -1562,13 +1562,13 @@
   {
    "cell_type": "code",
    "execution_count": 12,
-   "id": "972f407a",
+   "id": "5d74bd74",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:35.816885Z",
-     "iopub.status.busy": "2024-09-10T13:50:35.816755Z",
-     "iopub.status.idle": "2024-09-10T13:50:35.825581Z",
-     "shell.execute_reply": "2024-09-10T13:50:35.824968Z"
+     "iopub.execute_input": "2024-09-10T14:14:12.041081Z",
+     "iopub.status.busy": "2024-09-10T14:14:12.040933Z",
+     "iopub.status.idle": "2024-09-10T14:14:12.043044Z",
+     "shell.execute_reply": "2024-09-10T14:14:12.042674Z"
     }
    },
    "outputs": [],
@@ -1584,7 +1584,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b21bf90d",
+   "id": "1530384c",
    "metadata": {},
    "source": [
     "The structure of these paths is easy to understand. The model is a tree-like structure. The root of the tree is always the model instance itself. The second level is constituted by the various sources. The structure within a source can be understood by calling the ```.display``` method:"
@@ -1593,13 +1593,13 @@
   {
    "cell_type": "code",
    "execution_count": 13,
-   "id": "f4d6b75b",
+   "id": "d51d7ed2",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:35.828592Z",
-     "iopub.status.busy": "2024-09-10T13:50:35.828381Z",
-     "iopub.status.idle": "2024-09-10T13:50:35.833978Z",
-     "shell.execute_reply": "2024-09-10T13:50:35.833435Z"
+     "iopub.execute_input": "2024-09-10T14:14:12.045002Z",
+     "iopub.status.busy": "2024-09-10T14:14:12.044879Z",
+     "iopub.status.idle": "2024-09-10T14:14:12.049000Z",
+     "shell.execute_reply": "2024-09-10T14:14:12.048504Z"
     }
    },
    "outputs": [
@@ -1797,7 +1797,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f2d5db2e",
+   "id": "69df74c8",
    "metadata": {},
    "source": [
     "Each indentation represents one level, so to access the “ra” element we can follow the levels shown by the ```.display()``` method:"
@@ -1806,13 +1806,13 @@
   {
    "cell_type": "code",
    "execution_count": 14,
-   "id": "19e95452",
+   "id": "ac39e79b",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:35.837914Z",
-     "iopub.status.busy": "2024-09-10T13:50:35.837703Z",
-     "iopub.status.idle": "2024-09-10T13:50:35.845957Z",
-     "shell.execute_reply": "2024-09-10T13:50:35.845472Z"
+     "iopub.execute_input": "2024-09-10T14:14:12.051189Z",
+     "iopub.status.busy": "2024-09-10T14:14:12.051077Z",
+     "iopub.status.idle": "2024-09-10T14:14:12.054098Z",
+     "shell.execute_reply": "2024-09-10T14:14:12.053562Z"
     }
    },
    "outputs": [
@@ -1839,7 +1839,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "462948e7",
+   "id": "32fe7872",
    "metadata": {},
    "source": [
     "
\n",
@@ -1853,7 +1853,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "270f7d69",
+   "id": "ac5511e6",
    "metadata": {},
    "source": [
     "while to access the index parameter of the power law function we can do"
@@ -1862,13 +1862,13 @@
   {
    "cell_type": "code",
    "execution_count": 15,
-   "id": "a5a39e8b",
+   "id": "37fa0435",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:35.849241Z",
-     "iopub.status.busy": "2024-09-10T13:50:35.849030Z",
-     "iopub.status.idle": "2024-09-10T13:50:35.853287Z",
-     "shell.execute_reply": "2024-09-10T13:50:35.852154Z"
+     "iopub.execute_input": "2024-09-10T14:14:12.056600Z",
+     "iopub.status.busy": "2024-09-10T14:14:12.056409Z",
+     "iopub.status.idle": "2024-09-10T14:14:12.059356Z",
+     "shell.execute_reply": "2024-09-10T14:14:12.058972Z"
     }
    },
    "outputs": [
@@ -1895,7 +1895,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "72dec9cf",
+   "id": "021a2494",
    "metadata": {},
    "source": [
     "You can find much more information in the document “Additional features for scripts and applications”.\n",
@@ -1910,13 +1910,13 @@
   {
    "cell_type": "code",
    "execution_count": 16,
-   "id": "bb24b6d6",
+   "id": "4ab62840",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:35.857755Z",
-     "iopub.status.busy": "2024-09-10T13:50:35.857537Z",
-     "iopub.status.idle": "2024-09-10T13:50:35.866632Z",
-     "shell.execute_reply": "2024-09-10T13:50:35.865648Z"
+     "iopub.execute_input": "2024-09-10T14:14:12.061852Z",
+     "iopub.status.busy": "2024-09-10T14:14:12.061711Z",
+     "iopub.status.idle": "2024-09-10T14:14:12.070105Z",
+     "shell.execute_reply": "2024-09-10T14:14:12.069550Z"
     }
    },
    "outputs": [],
@@ -1939,7 +1939,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "575d46aa",
+   "id": "5d51f277",
    "metadata": {},
    "source": [
     "
\n",
@@ -1959,7 +1959,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "38aba179",
+   "id": "72856062",
    "metadata": {},
    "source": [
     "Shortcut can point at any point of the tree:\n"
@@ -1968,13 +1968,13 @@
   {
    "cell_type": "code",
    "execution_count": 17,
-   "id": "be24f3d3",
+   "id": "b5c84555",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:35.870111Z",
-     "iopub.status.busy": "2024-09-10T13:50:35.869906Z",
-     "iopub.status.idle": "2024-09-10T13:50:35.873080Z",
-     "shell.execute_reply": "2024-09-10T13:50:35.872384Z"
+     "iopub.execute_input": "2024-09-10T14:14:12.072176Z",
+     "iopub.status.busy": "2024-09-10T14:14:12.072071Z",
+     "iopub.status.idle": "2024-09-10T14:14:12.080692Z",
+     "shell.execute_reply": "2024-09-10T14:14:12.080317Z"
     }
    },
    "outputs": [],
@@ -1995,7 +1995,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "408ed23b",
+   "id": "15a10167",
    "metadata": {},
    "source": [
     "If you are ever in doubt of what a particular shortcut stands for, you can always retrieve the full path of the element the shortcut is pointing to like this:"
@@ -2004,13 +2004,13 @@
   {
    "cell_type": "code",
    "execution_count": 18,
-   "id": "a47bc4b0",
+   "id": "d137752d",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:35.876368Z",
-     "iopub.status.busy": "2024-09-10T13:50:35.876157Z",
-     "iopub.status.idle": "2024-09-10T13:50:35.879059Z",
-     "shell.execute_reply": "2024-09-10T13:50:35.878409Z"
+     "iopub.execute_input": "2024-09-10T14:14:12.082703Z",
+     "iopub.status.busy": "2024-09-10T14:14:12.082588Z",
+     "iopub.status.idle": "2024-09-10T14:14:12.085044Z",
+     "shell.execute_reply": "2024-09-10T14:14:12.084627Z"
     }
    },
    "outputs": [
@@ -2028,7 +2028,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "57d37bec",
+   "id": "76446bd0",
    "metadata": {},
    "source": [
     "## Saving a model to file\n",
@@ -2039,13 +2039,13 @@
   {
    "cell_type": "code",
    "execution_count": 19,
-   "id": "95e07db7",
+   "id": "ce286106",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:35.882573Z",
-     "iopub.status.busy": "2024-09-10T13:50:35.882391Z",
-     "iopub.status.idle": "2024-09-10T13:50:35.894169Z",
-     "shell.execute_reply": "2024-09-10T13:50:35.893637Z"
+     "iopub.execute_input": "2024-09-10T14:14:12.087368Z",
+     "iopub.status.busy": "2024-09-10T14:14:12.087207Z",
+     "iopub.status.idle": "2024-09-10T14:14:12.112358Z",
+     "shell.execute_reply": "2024-09-10T14:14:12.111891Z"
     }
    },
    "outputs": [],
@@ -2057,7 +2057,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "66f46ad4",
+   "id": "31e929c0",
    "metadata": {},
    "source": [
     "The content of the file is YAML code, which is human-readable and very easy to understand. Let’s have a look:"
@@ -2066,13 +2066,13 @@
   {
    "cell_type": "code",
    "execution_count": 20,
-   "id": "d68425e2",
+   "id": "a718b601",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:35.897562Z",
-     "iopub.status.busy": "2024-09-10T13:50:35.897318Z",
-     "iopub.status.idle": "2024-09-10T13:50:35.907283Z",
-     "shell.execute_reply": "2024-09-10T13:50:35.906581Z"
+     "iopub.execute_input": "2024-09-10T14:14:12.114694Z",
+     "iopub.status.busy": "2024-09-10T14:14:12.114588Z",
+     "iopub.status.idle": "2024-09-10T14:14:12.117548Z",
+     "shell.execute_reply": "2024-09-10T14:14:12.117165Z"
     }
    },
    "outputs": [
@@ -2360,7 +2360,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "eb1a6450",
+   "id": "ebac0436",
    "metadata": {},
    "source": [
     "## Load a model from a file\n",
@@ -2371,13 +2371,13 @@
   {
    "cell_type": "code",
    "execution_count": 21,
-   "id": "9357c8bf",
+   "id": "4754458b",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:35.910813Z",
-     "iopub.status.busy": "2024-09-10T13:50:35.910614Z",
-     "iopub.status.idle": "2024-09-10T13:50:35.938757Z",
-     "shell.execute_reply": "2024-09-10T13:50:35.938123Z"
+     "iopub.execute_input": "2024-09-10T14:14:12.119692Z",
+     "iopub.status.busy": "2024-09-10T14:14:12.119553Z",
+     "iopub.status.idle": "2024-09-10T14:14:12.141800Z",
+     "shell.execute_reply": "2024-09-10T14:14:12.141399Z"
     }
    },
    "outputs": [
@@ -2560,13 +2560,13 @@
   {
    "cell_type": "code",
    "execution_count": 22,
-   "id": "4c6264d9",
+   "id": "3efae5db",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:35.941853Z",
-     "iopub.status.busy": "2024-09-10T13:50:35.941605Z",
-     "iopub.status.idle": "2024-09-10T13:50:36.826773Z",
-     "shell.execute_reply": "2024-09-10T13:50:36.825570Z"
+     "iopub.execute_input": "2024-09-10T14:14:12.143768Z",
+     "iopub.status.busy": "2024-09-10T14:14:12.143621Z",
+     "iopub.status.idle": "2024-09-10T14:14:12.922618Z",
+     "shell.execute_reply": "2024-09-10T14:14:12.921673Z"
     }
    },
    "outputs": [
@@ -2636,7 +2636,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "00a3ac35",
+   "id": "fdd48181",
    "metadata": {},
    "source": [
     "## Linking parameters\n",
@@ -2647,13 +2647,13 @@
   {
    "cell_type": "code",
    "execution_count": 23,
-   "id": "a123b6a3",
+   "id": "30dfd9a6",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:36.831181Z",
-     "iopub.status.busy": "2024-09-10T13:50:36.830651Z",
-     "iopub.status.idle": "2024-09-10T13:50:36.847806Z",
-     "shell.execute_reply": "2024-09-10T13:50:36.847236Z"
+     "iopub.execute_input": "2024-09-10T14:14:12.926023Z",
+     "iopub.status.busy": "2024-09-10T14:14:12.925735Z",
+     "iopub.status.idle": "2024-09-10T14:14:12.938075Z",
+     "shell.execute_reply": "2024-09-10T14:14:12.937595Z"
     }
    },
    "outputs": [
@@ -2873,7 +2873,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b59fb57e",
+   "id": "a115ed3f",
    "metadata": {},
    "source": [
     "### Advanced use of linking: arbitrary functions\n",
@@ -2884,13 +2884,13 @@
   {
    "cell_type": "code",
    "execution_count": 24,
-   "id": "4075ccc8",
+   "id": "5302f1ce",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:36.851764Z",
-     "iopub.status.busy": "2024-09-10T13:50:36.851548Z",
-     "iopub.status.idle": "2024-09-10T13:50:36.866321Z",
-     "shell.execute_reply": "2024-09-10T13:50:36.865362Z"
+     "iopub.execute_input": "2024-09-10T14:14:12.940293Z",
+     "iopub.status.busy": "2024-09-10T14:14:12.940136Z",
+     "iopub.status.idle": "2024-09-10T14:14:12.951640Z",
+     "shell.execute_reply": "2024-09-10T14:14:12.950742Z"
     }
    },
    "outputs": [
@@ -3130,7 +3130,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d2f4b3c0",
+   "id": "91e5ec9d",
    "metadata": {},
    "source": [
     "If we want to fix say $p2 = p1 - 1.2$, we can fix k to that:"
@@ -3139,13 +3139,13 @@
   {
    "cell_type": "code",
    "execution_count": 25,
-   "id": "9d8a08db",
+   "id": "12fde430",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:36.869945Z",
-     "iopub.status.busy": "2024-09-10T13:50:36.869718Z",
-     "iopub.status.idle": "2024-09-10T13:50:36.883241Z",
-     "shell.execute_reply": "2024-09-10T13:50:36.882309Z"
+     "iopub.execute_input": "2024-09-10T14:14:12.956402Z",
+     "iopub.status.busy": "2024-09-10T14:14:12.956193Z",
+     "iopub.status.idle": "2024-09-10T14:14:12.975586Z",
+     "shell.execute_reply": "2024-09-10T14:14:12.973549Z"
     }
    },
    "outputs": [
@@ -3362,7 +3362,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2749fe5d",
+   "id": "461290fb",
    "metadata": {},
    "source": [
     "As another example, we might link the two parameters using a power law function:"
@@ -3371,13 +3371,13 @@
   {
    "cell_type": "code",
    "execution_count": 26,
-   "id": "18e4cd61",
+   "id": "50d6da49",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:36.887358Z",
-     "iopub.status.busy": "2024-09-10T13:50:36.887140Z",
-     "iopub.status.idle": "2024-09-10T13:50:36.902561Z",
-     "shell.execute_reply": "2024-09-10T13:50:36.901696Z"
+     "iopub.execute_input": "2024-09-10T14:14:12.980956Z",
+     "iopub.status.busy": "2024-09-10T14:14:12.980711Z",
+     "iopub.status.idle": "2024-09-10T14:14:12.999175Z",
+     "shell.execute_reply": "2024-09-10T14:14:12.998647Z"
     }
    },
    "outputs": [
@@ -3611,7 +3611,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c42fbd5c",
+   "id": "2069864d",
    "metadata": {},
    "source": [
     "We can use arbitrarily complex functions as link function, if needed (see “Creating and modifying functions” for more info on how to create composite functions):"
@@ -3620,13 +3620,13 @@
   {
    "cell_type": "code",
    "execution_count": 27,
-   "id": "a10d3d05",
+   "id": "d560ed9e",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:36.906027Z",
-     "iopub.status.busy": "2024-09-10T13:50:36.905808Z",
-     "iopub.status.idle": "2024-09-10T13:50:36.925283Z",
-     "shell.execute_reply": "2024-09-10T13:50:36.924754Z"
+     "iopub.execute_input": "2024-09-10T14:14:13.001338Z",
+     "iopub.status.busy": "2024-09-10T14:14:13.001221Z",
+     "iopub.status.idle": "2024-09-10T14:14:13.012862Z",
+     "shell.execute_reply": "2024-09-10T14:14:13.012469Z"
     }
    },
    "outputs": [
@@ -3908,7 +3908,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "834d03d9",
+   "id": "6b7cf5d7",
    "metadata": {},
    "source": [
     "## Time-varying models and other independent variables\n",
@@ -3919,13 +3919,13 @@
   {
    "cell_type": "code",
    "execution_count": 28,
-   "id": "2f00294c",
+   "id": "a3bd3adb",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:36.929430Z",
-     "iopub.status.busy": "2024-09-10T13:50:36.929161Z",
-     "iopub.status.idle": "2024-09-10T13:50:36.938802Z",
-     "shell.execute_reply": "2024-09-10T13:50:36.937948Z"
+     "iopub.execute_input": "2024-09-10T14:14:13.014858Z",
+     "iopub.status.busy": "2024-09-10T14:14:13.014711Z",
+     "iopub.status.idle": "2024-09-10T14:14:13.021091Z",
+     "shell.execute_reply": "2024-09-10T14:14:13.020700Z"
     }
    },
    "outputs": [],
@@ -3939,7 +3939,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1490a97f",
+   "id": "fa473b55",
    "metadata": {},
    "source": [
     "The IndependentVariable instance is inserted at the root of the model tree. In this case, can be accessed as:"
@@ -3948,13 +3948,13 @@
   {
    "cell_type": "code",
    "execution_count": 29,
-   "id": "9c0a5529",
+   "id": "7610b9dc",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:36.942657Z",
-     "iopub.status.busy": "2024-09-10T13:50:36.942417Z",
-     "iopub.status.idle": "2024-09-10T13:50:36.947771Z",
-     "shell.execute_reply": "2024-09-10T13:50:36.946778Z"
+     "iopub.execute_input": "2024-09-10T14:14:13.023078Z",
+     "iopub.status.busy": "2024-09-10T14:14:13.022975Z",
+     "iopub.status.idle": "2024-09-10T14:14:13.025691Z",
+     "shell.execute_reply": "2024-09-10T14:14:13.025269Z"
     }
    },
    "outputs": [
@@ -3979,7 +3979,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "be85f228",
+   "id": "9001ca89",
    "metadata": {},
    "source": [
     "We can now link any parameter to be a function of time, like this:"
@@ -3988,13 +3988,13 @@
   {
    "cell_type": "code",
    "execution_count": 30,
-   "id": "86f31682",
+   "id": "b2b84560",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:36.951074Z",
-     "iopub.status.busy": "2024-09-10T13:50:36.950861Z",
-     "iopub.status.idle": "2024-09-10T13:50:36.953953Z",
-     "shell.execute_reply": "2024-09-10T13:50:36.953387Z"
+     "iopub.execute_input": "2024-09-10T14:14:13.027698Z",
+     "iopub.status.busy": "2024-09-10T14:14:13.027565Z",
+     "iopub.status.idle": "2024-09-10T14:14:13.029575Z",
+     "shell.execute_reply": "2024-09-10T14:14:13.029208Z"
     }
    },
    "outputs": [],
@@ -4005,7 +4005,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8f6cd1fb",
+   "id": "68bb8d4a",
    "metadata": {},
    "source": [
     "Now link the index of the sync. component of source_2 to be law(t)\n",
@@ -4015,13 +4015,13 @@
   {
    "cell_type": "code",
    "execution_count": 31,
-   "id": "347c3374",
+   "id": "81e94d86",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:36.957254Z",
-     "iopub.status.busy": "2024-09-10T13:50:36.957055Z",
-     "iopub.status.idle": "2024-09-10T13:50:36.961163Z",
-     "shell.execute_reply": "2024-09-10T13:50:36.960059Z"
+     "iopub.execute_input": "2024-09-10T14:14:13.031518Z",
+     "iopub.status.busy": "2024-09-10T14:14:13.031384Z",
+     "iopub.status.idle": "2024-09-10T14:14:13.039466Z",
+     "shell.execute_reply": "2024-09-10T14:14:13.039081Z"
     }
    },
    "outputs": [],
@@ -4034,13 +4034,13 @@
   {
    "cell_type": "code",
    "execution_count": 32,
-   "id": "345fb6b8",
+   "id": "ec1ace1e",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:36.964697Z",
-     "iopub.status.busy": "2024-09-10T13:50:36.964376Z",
-     "iopub.status.idle": "2024-09-10T13:50:37.000496Z",
-     "shell.execute_reply": "2024-09-10T13:50:36.999801Z"
+     "iopub.execute_input": "2024-09-10T14:14:13.041332Z",
+     "iopub.status.busy": "2024-09-10T14:14:13.041234Z",
+     "iopub.status.idle": "2024-09-10T14:14:13.073660Z",
+     "shell.execute_reply": "2024-09-10T14:14:13.073035Z"
     }
    },
    "outputs": [],
@@ -4052,7 +4052,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "65c4a7e3",
+   "id": "1e3a8dea",
    "metadata": {},
    "source": [
     "This would show the link:\n",
@@ -4082,13 +4082,13 @@
   {
    "cell_type": "code",
    "execution_count": 33,
-   "id": "d6fad3e7",
+   "id": "719481f0",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:50:37.004242Z",
-     "iopub.status.busy": "2024-09-10T13:50:37.003969Z",
-     "iopub.status.idle": "2024-09-10T13:50:37.428243Z",
-     "shell.execute_reply": "2024-09-10T13:50:37.427453Z"
+     "iopub.execute_input": "2024-09-10T14:14:13.075995Z",
+     "iopub.status.busy": "2024-09-10T14:14:13.075882Z",
+     "iopub.status.idle": "2024-09-10T14:14:13.456100Z",
+     "shell.execute_reply": "2024-09-10T14:14:13.455487Z"
     }
    },
    "outputs": [
@@ -4138,7 +4138,7 @@
   {
    "cell_type": "code",
    "execution_count": null,
-   "id": "1a0def0d",
+   "id": "f85c89de",
    "metadata": {},
    "outputs": [],
    "source": []
diff --git a/notebooks/ModifiedBlackbody.ipynb b/notebooks/ModifiedBlackbody.ipynb
index 479cfd51..1c5346f4 100644
--- a/notebooks/ModifiedBlackbody.ipynb
+++ b/notebooks/ModifiedBlackbody.ipynb
@@ -2,13 +2,13 @@
  "cells": [
   {
    "cell_type": "markdown",
-   "id": "a5b7ae63",
+   "id": "4de866b5",
    "metadata": {
     "papermill": {
-     "duration": 0.005831,
-     "end_time": "2024-09-10T13:51:01.132119",
+     "duration": 0.01096,
+     "end_time": "2024-09-10T14:14:31.197837",
      "exception": false,
-     "start_time": "2024-09-10T13:51:01.126288",
+     "start_time": "2024-09-10T14:14:31.186877",
      "status": "completed"
     },
     "tags": []
@@ -20,20 +20,20 @@
   {
    "cell_type": "code",
    "execution_count": 1,
-   "id": "6450541b",
+   "id": "c70348a5",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:51:01.144595Z",
-     "iopub.status.busy": "2024-09-10T13:51:01.144025Z",
-     "iopub.status.idle": "2024-09-10T13:51:02.933744Z",
-     "shell.execute_reply": "2024-09-10T13:51:02.932944Z"
+     "iopub.execute_input": "2024-09-10T14:14:31.210165Z",
+     "iopub.status.busy": "2024-09-10T14:14:31.209394Z",
+     "iopub.status.idle": "2024-09-10T14:14:32.646803Z",
+     "shell.execute_reply": "2024-09-10T14:14:32.646247Z"
     },
     "nbsphinx": "hidden",
     "papermill": {
-     "duration": 1.797631,
-     "end_time": "2024-09-10T13:51:02.935856",
+     "duration": 1.445301,
+     "end_time": "2024-09-10T14:14:32.648289",
      "exception": false,
-     "start_time": "2024-09-10T13:51:01.138225",
+     "start_time": "2024-09-10T14:14:31.202988",
      "status": "completed"
     },
     "tags": []
@@ -60,20 +60,20 @@
   {
    "cell_type": "code",
    "execution_count": 2,
-   "id": "72ff9e5f",
+   "id": "288bec57",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:51:02.940656Z",
-     "iopub.status.busy": "2024-09-10T13:51:02.940166Z",
-     "iopub.status.idle": "2024-09-10T13:51:02.949117Z",
-     "shell.execute_reply": "2024-09-10T13:51:02.948513Z"
+     "iopub.execute_input": "2024-09-10T14:14:32.651682Z",
+     "iopub.status.busy": "2024-09-10T14:14:32.651359Z",
+     "iopub.status.idle": "2024-09-10T14:14:32.653650Z",
+     "shell.execute_reply": "2024-09-10T14:14:32.653270Z"
     },
     "nbsphinx": "hidden",
     "papermill": {
-     "duration": 0.012798,
-     "end_time": "2024-09-10T13:51:02.950603",
+     "duration": 0.005254,
+     "end_time": "2024-09-10T14:14:32.654872",
      "exception": false,
-     "start_time": "2024-09-10T13:51:02.937805",
+     "start_time": "2024-09-10T14:14:32.649618",
      "status": "completed"
     },
     "tags": [
@@ -95,19 +95,19 @@
   {
    "cell_type": "code",
    "execution_count": 3,
-   "id": "f14e5297",
+   "id": "ef619523",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-09-10T13:51:02.953737Z",
-     "iopub.status.busy": "2024-09-10T13:51:02.953585Z",
-     "iopub.status.idle": "2024-09-10T13:51:02.961466Z",
-     "shell.execute_reply": "2024-09-10T13:51:02.961091Z"
+     "iopub.execute_input": "2024-09-10T14:14:32.657691Z",
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@@ -127,21 +127,21 @@
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@@ -170,14 +170,14 @@
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@@ -189,19 +189,19 @@
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@@ -305,13 +305,13 @@
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@@ -327,19 +327,19 @@
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@@ -372,14 +372,14 @@
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@@ -394,19 +394,19 @@
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@@ -438,13 +438,13 @@
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@@ -459,19 +459,19 @@
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@@ -524,8 +524,8 @@
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@@ -537,7 +537,7 @@
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diff --git a/notebooks/Multi_component_sources.html b/notebooks/Multi_component_sources.html
index 84510bb8..7f001586 100644
--- a/notebooks/Multi_component_sources.html
+++ b/notebooks/Multi_component_sources.html
@@ -120,7 +120,7 @@ 
Multi-component sources
 

 

-
13:50:39 WARNING   The naima package is not available. Models that depend on it will not be         functions.py:48
+
14:14:15 WARNING   The naima package is not available. Models that depend on it will not be         functions.py:48
                   available                                                                                        
 

 

diff --git a/notebooks/Multi_component_sources.ipynb b/notebooks/Multi_component_sources.ipynb
index 91299e8a..dde132de 100644
--- a/notebooks/Multi_component_sources.ipynb
+++ b/notebooks/Multi_component_sources.ipynb
@@ -2,7 +2,7 @@
  "cells": [
   {
    "cell_type": "markdown",
-   "id": "8b7a724d",
+   "id": "5519f005",
    "metadata": {},
    "source": [
     "# Multi-component sources"
@@ -10,7 +10,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "fb7839e5",
+   "id": "4d4a8dfa",
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     "A multi-component source is a point source (or extended source) which has different spectral\n",
@@ -30,25 +30,25 @@
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        "                  available                                                                                        \n",
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    "cell_type": "markdown",
-   "id": "a95b6b1c",
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    "metadata": {},
    "source": [
     "## Modifying features of the source and modify parameters of its spectrum\n",
@@ -378,13 +378,13 @@
   {
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-   "id": "7131cc19",
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@@ -395,7 +395,7 @@
   },
   {
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+   "id": "a16d8147",
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    "source": [
     "Change values for the parameters:"
@@ -404,13 +404,13 @@
   {
    "cell_type": "code",
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-   "id": "3cd2b0f4",
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@@ -705,7 +705,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c3d7d890",
+   "id": "94f3cb01",
    "metadata": {},
    "source": [
     "Spectral components can be assigned to python variables to modify several parameters without too much repetition:"
@@ -714,13 +714,13 @@
   {
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-   "id": "c3680c44",
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@@ -1016,7 +1016,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "20715641",
+   "id": "904a3ea3",
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@@ -1025,13 +1025,13 @@
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@@ -1054,7 +1054,7 @@
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+   "id": "5291602a",
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    "source": [
     "This did **not** change the value of K, but instead assigned the float 0.3 to p1 (i.e., destroy the shortcut).   \n",
@@ -1065,13 +1065,13 @@
   {
    "cell_type": "code",
    "execution_count": 6,
-   "id": "a55ba151",
+   "id": "2f80fc32",
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+     "iopub.execute_input": "2024-09-10T14:14:16.090016Z",
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@@ -1367,7 +1367,7 @@
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    "cell_type": "code",
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-   "id": "f946f20b",
+   "id": "7be95050",
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@@ -1375,7 +1375,7 @@
   {
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-   "id": "a57b624e",
+   "id": "d3bdc258",
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diff --git a/notebooks/NonDissipativePhotosphere.ipynb b/notebooks/NonDissipativePhotosphere.ipynb
index 51daf647..573527a4 100644
--- a/notebooks/NonDissipativePhotosphere.ipynb
+++ b/notebooks/NonDissipativePhotosphere.ipynb
@@ -2,13 +2,13 @@
  "cells": [
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@@ -20,20 +20,20 @@
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@@ -60,20 +60,20 @@
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@@ -95,19 +95,19 @@
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@@ -127,21 +127,21 @@
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@@ -170,14 +170,14 @@
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@@ -189,19 +189,19 @@
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@@ -338,13 +338,13 @@
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@@ -360,19 +360,19 @@
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@@ -405,14 +405,14 @@
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@@ -427,19 +427,19 @@
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@@ -471,13 +471,13 @@
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@@ -492,19 +492,19 @@
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@@ -557,8 +557,8 @@
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@@ -570,7 +570,7 @@
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diff --git a/notebooks/NonDissipativePhotosphere_Deep.ipynb b/notebooks/NonDissipativePhotosphere_Deep.ipynb
index d187979a..cf041002 100644
--- a/notebooks/NonDissipativePhotosphere_Deep.ipynb
+++ b/notebooks/NonDissipativePhotosphere_Deep.ipynb
@@ -2,13 +2,13 @@
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@@ -20,20 +20,20 @@
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@@ -60,20 +60,20 @@
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@@ -95,19 +95,19 @@
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@@ -127,21 +127,21 @@
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@@ -170,14 +170,14 @@
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@@ -189,19 +189,19 @@
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@@ -338,13 +338,13 @@
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@@ -360,19 +360,19 @@
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@@ -405,14 +405,14 @@
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@@ -427,19 +427,19 @@
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@@ -471,13 +471,13 @@
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@@ -492,19 +492,19 @@
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@@ -557,8 +557,8 @@
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@@ -570,7 +570,7 @@
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diff --git a/notebooks/PhAbs.ipynb b/notebooks/PhAbs.ipynb
index 08bc8ace..d688f313 100644
--- a/notebooks/PhAbs.ipynb
+++ b/notebooks/PhAbs.ipynb
@@ -2,13 +2,13 @@
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@@ -20,20 +20,20 @@
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@@ -60,20 +60,20 @@
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@@ -95,19 +95,19 @@
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@@ -127,21 +127,21 @@
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@@ -170,14 +170,14 @@
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@@ -189,19 +189,19 @@
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@@ -331,13 +331,13 @@
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@@ -353,19 +353,19 @@
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@@ -398,14 +398,14 @@
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@@ -420,19 +420,19 @@
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@@ -464,13 +464,13 @@
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@@ -485,19 +485,19 @@
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@@ -550,8 +550,8 @@
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@@ -563,7 +563,7 @@
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diff --git a/notebooks/Point_source_tutorial.html b/notebooks/Point_source_tutorial.html
index 76522c33..6f220051 100644
--- a/notebooks/Point_source_tutorial.html
+++ b/notebooks/Point_source_tutorial.html
@@ -122,7 +122,7 @@ 
Creating a point source
-
13:50:42 WARNING   The naima package is not available. Models that depend on it will not be         functions.py:48
+
14:14:17 WARNING   The naima package is not available. Models that depend on it will not be         functions.py:48
                   available
diff --git a/notebooks/Point_source_tutorial.ipynb b/notebooks/Point_source_tutorial.ipynb index 8bb92fa0..dc229ec6 100644 --- a/notebooks/Point_source_tutorial.ipynb +++ b/notebooks/Point_source_tutorial.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "markdown", - "id": "e8cb96b5", + "id": "0f3bf8bf", "metadata": {}, "source": [ "# Point sources #\n", @@ -19,25 +19,25 @@ { "cell_type": "code", "execution_count": 1, - "id": "97797614", + "id": "703e5261", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:50:41.342211Z", - "iopub.status.busy": "2024-09-10T13:50:41.341612Z", - "iopub.status.idle": "2024-09-10T13:50:43.127700Z", - "shell.execute_reply": "2024-09-10T13:50:43.126606Z" + "iopub.execute_input": "2024-09-10T14:14:17.031605Z", + "iopub.status.busy": "2024-09-10T14:14:17.031007Z", + "iopub.status.idle": "2024-09-10T14:14:18.190543Z", + "shell.execute_reply": "2024-09-10T14:14:18.190037Z" } }, "outputs": [ { "data": { "text/html": [ - "
13:50:42 WARNING   The naima package is not available. Models that depend on it will not be         functions.py:48\n",
+       "
14:14:17 WARNING   The naima package is not available. Models that depend on it will not be         functions.py:48\n",
        "                  available                                                                                        \n",
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+       "\u001b[38;5;46m14:14:17\u001b[0m\u001b[38;5;46m \u001b[0m\u001b[38;5;134mWARNING \u001b[0m \u001b[1;38;5;251m The naima package is not available. Models that depend on it will not be        \u001b[0m\u001b[1;38;5;251m \u001b[0m\u001b]8;id=477330;file:///Users/runner/work/astromodels/astromodels/astromodels/functions/functions_1D/functions.py\u001b\\\u001b[2mfunctions.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=65734;file:///Users/runner/work/astromodels/astromodels/astromodels/functions/functions_1D/functions.py#48\u001b\\\u001b[2m48\u001b[0m\u001b]8;;\u001b\\\n",
        "\u001b[38;5;46m         \u001b[0m         \u001b[1;38;5;251mavailable                                                                        \u001b[0m\u001b[1;38;5;251m \u001b[0m\u001b[2m               \u001b[0m\n"
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@@ -52,7 +52,7 @@
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Models that depend on it \u001b[0m\u001b[1;38;5;251m \u001b[0m\u001b]8;id=965498;file:///Users/runner/work/astromodels/astromodels/astromodels/functions/functions_1D/functions.py\u001b\\\u001b[2mfunctions.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=509894;file:///Users/runner/work/astromodels/astromodels/astromodels/functions/functions_1D/functions.py#69\u001b\\\u001b[2m69\u001b[0m\u001b]8;;\u001b\\\n", "\u001b[38;5;46m \u001b[0m \u001b[1;38;5;251mwill not be available. \u001b[0m\u001b[1;38;5;251m \u001b[0m\u001b[2m \u001b[0m\n" ] }, @@ -67,7 +67,7 @@ }, { "cell_type": "markdown", - "id": "91a95d02", + "id": "0dbc7253", "metadata": {}, "source": [ "We can also use Galactic coordinates:" @@ -76,13 +76,13 @@ { "cell_type": "code", "execution_count": 2, - "id": "406c8764", + "id": "2e1fadc6", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:50:43.133588Z", - "iopub.status.busy": "2024-09-10T13:50:43.132899Z", - "iopub.status.idle": "2024-09-10T13:50:43.137969Z", - "shell.execute_reply": "2024-09-10T13:50:43.137002Z" + "iopub.execute_input": "2024-09-10T14:14:18.193114Z", + "iopub.status.busy": "2024-09-10T14:14:18.192884Z", + "iopub.status.idle": "2024-09-10T14:14:18.201763Z", + "shell.execute_reply": "2024-09-10T14:14:18.201386Z" } }, "outputs": [], @@ -92,7 +92,7 @@ }, { "cell_type": "markdown", - "id": "13874ca0", + "id": "60b79fe0", "metadata": {}, "source": [ "As spectral shape we can use any function or any composite function (see\n", @@ -101,7 +101,7 @@ }, { "cell_type": "markdown", - "id": "01daf783", + "id": "8f94c816", "metadata": {}, "source": [ "## Getting info about a point source\n", @@ -114,13 +114,13 @@ { "cell_type": "code", "execution_count": 3, - "id": "fb684372", + "id": "4ae93b3b", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:50:43.141550Z", - "iopub.status.busy": "2024-09-10T13:50:43.141312Z", - "iopub.status.idle": "2024-09-10T13:50:43.148873Z", - "shell.execute_reply": "2024-09-10T13:50:43.147700Z" + "iopub.execute_input": "2024-09-10T14:14:18.203818Z", + "iopub.status.busy": "2024-09-10T14:14:18.203715Z", + "iopub.status.idle": "2024-09-10T14:14:18.213373Z", + "shell.execute_reply": "2024-09-10T14:14:18.212995Z" } }, "outputs": [ @@ -319,13 +319,13 @@ { "cell_type": "code", "execution_count": 4, - "id": "8610c09e", + "id": "decacfba", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:50:43.152690Z", - "iopub.status.busy": "2024-09-10T13:50:43.152371Z", - "iopub.status.idle": "2024-09-10T13:50:43.158943Z", - "shell.execute_reply": "2024-09-10T13:50:43.157859Z" + "iopub.execute_input": "2024-09-10T14:14:18.215256Z", + "iopub.status.busy": "2024-09-10T14:14:18.215154Z", + "iopub.status.idle": "2024-09-10T14:14:18.224860Z", + "shell.execute_reply": "2024-09-10T14:14:18.224474Z" } }, "outputs": [ @@ -385,7 +385,7 @@ }, { "cell_type": "markdown", - "id": "410f1212", + "id": "1ff7f60d", "metadata": {}, "source": [ "As you can see we have created a point source with one component automatically named \"main\", with a power law spectrum, at the\n", @@ -394,7 +394,7 @@ }, { "cell_type": "markdown", - "id": "1a10b91a", + "id": "cd56be47", "metadata": {}, "source": [ "## Converting between coordinate systems\n", @@ -407,13 +407,13 @@ { "cell_type": "code", "execution_count": 5, - "id": "fd194995", + "id": "a32600ba", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:50:43.162962Z", - "iopub.status.busy": "2024-09-10T13:50:43.162721Z", - "iopub.status.idle": "2024-09-10T13:50:43.189795Z", - "shell.execute_reply": "2024-09-10T13:50:43.188932Z" + "iopub.execute_input": "2024-09-10T14:14:18.226983Z", + "iopub.status.busy": "2024-09-10T14:14:18.226873Z", + "iopub.status.idle": "2024-09-10T14:14:18.239013Z", + "shell.execute_reply": "2024-09-10T14:14:18.238637Z" } }, "outputs": [ @@ -470,7 +470,7 @@ }, { "cell_type": "markdown", - "id": "57d94b95", + "id": "a57c1fca", "metadata": {}, "source": [ "For more control on the output and many more options, such as transform\n", @@ -482,13 +482,13 @@ { "cell_type": "code", "execution_count": 6, - "id": "5a5947e6", + "id": "02c2f5fd", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:50:43.193582Z", - "iopub.status.busy": "2024-09-10T13:50:43.193340Z", - "iopub.status.idle": "2024-09-10T13:50:43.205873Z", - "shell.execute_reply": "2024-09-10T13:50:43.204480Z" + "iopub.execute_input": "2024-09-10T14:14:18.240998Z", + "iopub.status.busy": "2024-09-10T14:14:18.240853Z", + "iopub.status.idle": "2024-09-10T14:14:18.250738Z", + "shell.execute_reply": "2024-09-10T14:14:18.250379Z" } }, "outputs": [ @@ -509,7 +509,7 @@ }, { "cell_type": "markdown", - "id": "e7840fb7", + "id": "22d1e754", "metadata": {}, "source": [ "## Gotcha while accessing coordinates\n", @@ -524,13 +524,13 @@ { "cell_type": "code", "execution_count": 7, - "id": "8207d602", + "id": "8ae4e75c", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:50:43.212268Z", - "iopub.status.busy": "2024-09-10T13:50:43.211763Z", - "iopub.status.idle": "2024-09-10T13:50:43.220967Z", - "shell.execute_reply": "2024-09-10T13:50:43.220341Z" + "iopub.execute_input": "2024-09-10T14:14:18.252638Z", + "iopub.status.busy": "2024-09-10T14:14:18.252539Z", + "iopub.status.idle": "2024-09-10T14:14:18.262112Z", + "shell.execute_reply": "2024-09-10T14:14:18.261732Z" } }, "outputs": [ @@ -581,7 +581,7 @@ }, { "cell_type": "markdown", - "id": "727b081e", + "id": "535fbf9b", "metadata": {}, "source": [ "The following would instead throw `AttributeError`, since `simple_source_icrs` was instanced using R.A. and Dec. and hence does not have the `l`, `b` parameters:" @@ -590,13 +590,13 @@ { "cell_type": "code", "execution_count": 8, - "id": "24411176", + "id": "bca7abe8", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:50:43.227634Z", - "iopub.status.busy": "2024-09-10T13:50:43.227199Z", - "iopub.status.idle": "2024-09-10T13:50:43.231114Z", - "shell.execute_reply": "2024-09-10T13:50:43.230343Z" + "iopub.execute_input": "2024-09-10T14:14:18.264023Z", + "iopub.status.busy": "2024-09-10T14:14:18.263927Z", + "iopub.status.idle": "2024-09-10T14:14:18.266222Z", + "shell.execute_reply": "2024-09-10T14:14:18.265857Z" } }, "outputs": [ @@ -617,7 +617,7 @@ }, { "cell_type": "markdown", - "id": "c145a052", + "id": "f2382f35", "metadata": {}, "source": [ "In all cases, independently on how the source was instanced, you can obtain the *values* of coordinates in degrees\n", @@ -627,13 +627,13 @@ { "cell_type": "code", "execution_count": 9, - "id": "bfbeb451", + "id": "315c9191", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:50:43.235131Z", - "iopub.status.busy": "2024-09-10T13:50:43.234877Z", - "iopub.status.idle": "2024-09-10T13:50:43.240492Z", - "shell.execute_reply": "2024-09-10T13:50:43.239650Z" + "iopub.execute_input": "2024-09-10T14:14:18.268074Z", + "iopub.status.busy": "2024-09-10T14:14:18.267948Z", + "iopub.status.idle": "2024-09-10T14:14:18.277503Z", + "shell.execute_reply": "2024-09-10T14:14:18.277056Z" } }, "outputs": [ @@ -671,7 +671,7 @@ }, { "cell_type": "markdown", - "id": "94c28a46", + "id": "1ff4fc0b", "metadata": {}, "source": [ "## Fitting the source position\n", @@ -682,13 +682,13 @@ { "cell_type": "code", "execution_count": 10, - "id": "eeb9d035", + "id": "14cb94b7", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:50:43.244542Z", - "iopub.status.busy": "2024-09-10T13:50:43.244326Z", - "iopub.status.idle": "2024-09-10T13:50:43.248371Z", - "shell.execute_reply": "2024-09-10T13:50:43.247410Z" + "iopub.execute_input": "2024-09-10T14:14:18.279365Z", + "iopub.status.busy": "2024-09-10T14:14:18.279270Z", + "iopub.status.idle": "2024-09-10T14:14:18.285029Z", + "shell.execute_reply": "2024-09-10T14:14:18.284668Z" } }, "outputs": [ @@ -710,7 +710,7 @@ }, { "cell_type": "markdown", - "id": "244f15ac", + "id": "ef3e5aee", "metadata": {}, "source": [ "For a source created in Galactic coordinates, instead use the following:" @@ -719,13 +719,13 @@ { "cell_type": "code", "execution_count": 11, - "id": "1aed8c62", + "id": "5f935da5", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:50:43.252382Z", - "iopub.status.busy": "2024-09-10T13:50:43.252058Z", - "iopub.status.idle": "2024-09-10T13:50:43.256006Z", - "shell.execute_reply": "2024-09-10T13:50:43.255129Z" + "iopub.execute_input": "2024-09-10T14:14:18.286917Z", + "iopub.status.busy": "2024-09-10T14:14:18.286819Z", + "iopub.status.idle": "2024-09-10T14:14:18.289200Z", + "shell.execute_reply": "2024-09-10T14:14:18.288826Z" } }, "outputs": [ @@ -747,7 +747,7 @@ }, { "cell_type": "markdown", - "id": "7503d6a9", + "id": "f5884e00", "metadata": {}, "source": [ "By default, the allowed range for the Right Ascension is from 0˚ to 360˚ and allowed declination values range from -90˚ to 90˚. **If fitting the source position, it is strongly recommended to restrict the coordinates to be inside the region of interest (ROI) at all times.** The source moving far enough from the ROI during the fit can lead to issues such as the minimizer getting \"stuck\" due to the likelihood surface being flat. For example:" @@ -756,13 +756,13 @@ { "cell_type": "code", "execution_count": 12, - "id": "4ce6a51b", + "id": "d4cae5a0", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:50:43.260143Z", - "iopub.status.busy": "2024-09-10T13:50:43.259904Z", - "iopub.status.idle": "2024-09-10T13:50:43.272164Z", - "shell.execute_reply": "2024-09-10T13:50:43.271367Z" + "iopub.execute_input": "2024-09-10T14:14:18.291116Z", + "iopub.status.busy": "2024-09-10T14:14:18.290988Z", + "iopub.status.idle": "2024-09-10T14:14:18.294681Z", + "shell.execute_reply": "2024-09-10T14:14:18.294094Z" } }, "outputs": [ @@ -804,7 +804,7 @@ }, { "cell_type": "markdown", - "id": "a5f468d5", + "id": "8fc4fc03", "metadata": {}, "source": [ "## \"Calling\" a point source\n", @@ -815,13 +815,13 @@ { "cell_type": "code", "execution_count": 13, - "id": "09fef324", + "id": "6ff07e2b", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:50:43.276042Z", - "iopub.status.busy": "2024-09-10T13:50:43.275763Z", - "iopub.status.idle": "2024-09-10T13:50:44.048010Z", - "shell.execute_reply": "2024-09-10T13:50:44.046839Z" + "iopub.execute_input": "2024-09-10T14:14:18.296923Z", + "iopub.status.busy": "2024-09-10T14:14:18.296806Z", + "iopub.status.idle": "2024-09-10T14:14:18.803292Z", + "shell.execute_reply": "2024-09-10T14:14:18.802844Z" } }, "outputs": [ @@ -878,7 +878,7 @@ { "cell_type": "code", "execution_count": null, - "id": "0059ac2a", + "id": "86a8282f", "metadata": {}, "outputs": [], "source": [] diff --git a/notebooks/Power_law_on_sphere.ipynb b/notebooks/Power_law_on_sphere.ipynb index 7c26e93a..d384c11a 100644 --- a/notebooks/Power_law_on_sphere.ipynb +++ b/notebooks/Power_law_on_sphere.ipynb @@ -2,13 +2,13 @@ "cells": [ { "cell_type": "markdown", - "id": "992a7d91", + "id": "c104fa5f", "metadata": { "papermill": { - "duration": 0.008427, - "end_time": "2024-09-10T13:53:10.943269", + "duration": 0.009114, + "end_time": "2024-09-10T14:16:52.606379", "exception": false, - "start_time": "2024-09-10T13:53:10.934842", + "start_time": "2024-09-10T14:16:52.597265", "status": "completed" }, "tags": [] @@ -20,20 +20,20 @@ { "cell_type": "code", "execution_count": 1, - "id": "7ebb316f", + "id": "283a30dc", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:53:10.957516Z", - "iopub.status.busy": "2024-09-10T13:53:10.956655Z", - "iopub.status.idle": "2024-09-10T13:53:12.522307Z", - "shell.execute_reply": "2024-09-10T13:53:12.521630Z" + "iopub.execute_input": "2024-09-10T14:16:52.617888Z", + "iopub.status.busy": "2024-09-10T14:16:52.617194Z", + "iopub.status.idle": "2024-09-10T14:16:54.066961Z", + "shell.execute_reply": "2024-09-10T14:16:54.066441Z" }, "nbsphinx": "hidden", "papermill": { - "duration": 1.574401, - "end_time": "2024-09-10T13:53:12.523987", + "duration": 1.457144, + "end_time": "2024-09-10T14:16:54.068414", "exception": false, - "start_time": "2024-09-10T13:53:10.949586", + "start_time": "2024-09-10T14:16:52.611270", "status": "completed" }, "tags": [] @@ -68,20 +68,20 @@ { "cell_type": "code", "execution_count": 2, - "id": "4319e323", + "id": "d93183d3", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:53:12.527009Z", - "iopub.status.busy": "2024-09-10T13:53:12.526664Z", - "iopub.status.idle": "2024-09-10T13:53:12.535089Z", - "shell.execute_reply": "2024-09-10T13:53:12.534627Z" + "iopub.execute_input": "2024-09-10T14:16:54.071342Z", + "iopub.status.busy": "2024-09-10T14:16:54.071028Z", + "iopub.status.idle": "2024-09-10T14:16:54.073199Z", + "shell.execute_reply": "2024-09-10T14:16:54.072801Z" }, "nbsphinx": "hidden", "papermill": { - "duration": 0.011181, - "end_time": "2024-09-10T13:53:12.536309", + "duration": 0.004976, + "end_time": "2024-09-10T14:16:54.074494", "exception": false, - "start_time": "2024-09-10T13:53:12.525128", + "start_time": "2024-09-10T14:16:54.069518", "status": "completed" }, "tags": [ @@ -96,19 +96,19 @@ { "cell_type": "code", "execution_count": 3, - "id": "bf3f133d", + "id": "06f8dc18", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:53:12.538752Z", - "iopub.status.busy": "2024-09-10T13:53:12.538586Z", - "iopub.status.idle": "2024-09-10T13:53:12.541687Z", - "shell.execute_reply": "2024-09-10T13:53:12.541060Z" + "iopub.execute_input": "2024-09-10T14:16:54.076847Z", + "iopub.status.busy": "2024-09-10T14:16:54.076712Z", + "iopub.status.idle": "2024-09-10T14:16:54.083635Z", + "shell.execute_reply": "2024-09-10T14:16:54.083269Z" }, "papermill": { - "duration": 0.006812, - "end_time": "2024-09-10T13:53:12.544041", + "duration": 0.009516, + "end_time": "2024-09-10T14:16:54.084908", "exception": false, - "start_time": "2024-09-10T13:53:12.537229", + "start_time": "2024-09-10T14:16:54.075392", "status": "completed" }, "tags": [ @@ -124,21 +124,21 @@ { "cell_type": "code", "execution_count": 4, - "id": "03bd0d5b", + "id": "d7d03aea", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:53:12.547300Z", - "iopub.status.busy": "2024-09-10T13:53:12.547101Z", - "iopub.status.idle": "2024-09-10T13:53:12.559004Z", - "shell.execute_reply": "2024-09-10T13:53:12.558548Z" + "iopub.execute_input": "2024-09-10T14:16:54.087231Z", + "iopub.status.busy": "2024-09-10T14:16:54.087089Z", + "iopub.status.idle": "2024-09-10T14:16:54.099074Z", + "shell.execute_reply": "2024-09-10T14:16:54.098571Z" }, "lines_to_next_cell": 0, "nbsphinx": "hidden", "papermill": { - "duration": 0.015163, - "end_time": "2024-09-10T13:53:12.560424", + "duration": 0.014622, + "end_time": "2024-09-10T14:16:54.100396", "exception": false, - "start_time": "2024-09-10T13:53:12.545261", + "start_time": "2024-09-10T14:16:54.085774", "status": "completed" }, "tags": [] @@ -155,14 +155,14 @@ }, { "cell_type": "markdown", - "id": "072aed30", + "id": "f55f831c", "metadata": { "lines_to_next_cell": 0, "papermill": { - "duration": 0.000879, - "end_time": "2024-09-10T13:53:12.562351", + "duration": 0.000894, + "end_time": "2024-09-10T14:16:54.102386", "exception": false, - "start_time": "2024-09-10T13:53:12.561472", + "start_time": "2024-09-10T14:16:54.101492", "status": "completed" }, "tags": [] @@ -174,19 +174,19 @@ { "cell_type": "code", "execution_count": 5, - "id": "19744e0c", + "id": "89b318ae", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:53:12.565070Z", - "iopub.status.busy": "2024-09-10T13:53:12.564872Z", - "iopub.status.idle": "2024-09-10T13:53:12.569987Z", - "shell.execute_reply": "2024-09-10T13:53:12.569607Z" + "iopub.execute_input": "2024-09-10T14:16:54.104740Z", + "iopub.status.busy": "2024-09-10T14:16:54.104593Z", + "iopub.status.idle": "2024-09-10T14:16:54.109378Z", + "shell.execute_reply": "2024-09-10T14:16:54.109018Z" }, "papermill": { - "duration": 0.008371, - "end_time": "2024-09-10T13:53:12.571566", + "duration": 0.007473, + "end_time": "2024-09-10T14:16:54.110700", "exception": false, - "start_time": "2024-09-10T13:53:12.563195", + "start_time": "2024-09-10T14:16:54.103227", "status": "completed" }, "tags": [] @@ -389,14 +389,14 @@ }, { "cell_type": "markdown", - "id": "68ead2e6", + "id": "c8052a22", "metadata": { "lines_to_next_cell": 0, "papermill": { - "duration": 0.001073, - "end_time": "2024-09-10T13:53:12.573910", + "duration": 0.001015, + "end_time": "2024-09-10T14:16:54.112767", "exception": false, - "start_time": "2024-09-10T13:53:12.572837", + "start_time": "2024-09-10T14:16:54.111752", "status": "completed" }, "tags": [] @@ -410,19 +410,19 @@ { "cell_type": "code", "execution_count": 6, - "id": "f4409f96", + "id": "e5c0e102", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:53:12.577236Z", - "iopub.status.busy": "2024-09-10T13:53:12.577003Z", - "iopub.status.idle": "2024-09-10T13:53:12.764622Z", - "shell.execute_reply": "2024-09-10T13:53:12.764203Z" + "iopub.execute_input": "2024-09-10T14:16:54.115432Z", + "iopub.status.busy": "2024-09-10T14:16:54.115289Z", + "iopub.status.idle": "2024-09-10T14:16:54.301654Z", + "shell.execute_reply": "2024-09-10T14:16:54.301317Z" }, "papermill": { - "duration": 0.191047, - "end_time": "2024-09-10T13:53:12.766012", + "duration": 0.189414, + "end_time": "2024-09-10T14:16:54.303158", "exception": false, - "start_time": "2024-09-10T13:53:12.574965", + "start_time": "2024-09-10T14:16:54.113744", "status": "completed" }, "tags": [ @@ -475,8 +475,8 @@ }, "papermill": { "default_parameters": {}, - "duration": 2.838241, - "end_time": "2024-09-10T13:53:13.201710", + "duration": 2.75206, + "end_time": "2024-09-10T14:16:54.630733", "environment_variables": {}, "exception": null, "input_path": "Power_law_on_sphere.ipynb", @@ -484,7 +484,7 @@ "parameters": { "func_name": "Power_law_on_sphere" }, - "start_time": "2024-09-10T13:53:10.363469", + "start_time": "2024-09-10T14:16:51.878673", "version": "2.6.0" } }, diff --git a/notebooks/Powerlaw.ipynb b/notebooks/Powerlaw.ipynb index ed2f5604..72df1bd9 100644 --- a/notebooks/Powerlaw.ipynb +++ b/notebooks/Powerlaw.ipynb @@ -2,13 +2,13 @@ "cells": [ { "cell_type": "markdown", - "id": "18cd51f7", + "id": "fd66f917", "metadata": { "papermill": { - "duration": 0.008095, - "end_time": "2024-09-10T13:52:02.836230", + "duration": 0.00776, + "end_time": "2024-09-10T14:15:36.707715", "exception": false, - "start_time": "2024-09-10T13:52:02.828135", + "start_time": "2024-09-10T14:15:36.699955", "status": "completed" }, "tags": [] @@ -20,20 +20,20 @@ { "cell_type": "code", "execution_count": 1, - "id": "f2665283", + "id": "1136a0bc", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:52:02.849874Z", - "iopub.status.busy": "2024-09-10T13:52:02.849340Z", - "iopub.status.idle": "2024-09-10T13:52:04.285452Z", - "shell.execute_reply": "2024-09-10T13:52:04.284881Z" + "iopub.execute_input": "2024-09-10T14:15:36.718786Z", + "iopub.status.busy": "2024-09-10T14:15:36.718317Z", + "iopub.status.idle": "2024-09-10T14:15:38.502827Z", + "shell.execute_reply": "2024-09-10T14:15:38.501895Z" }, "nbsphinx": "hidden", "papermill": { - "duration": 1.445364, - "end_time": "2024-09-10T13:52:04.287072", + "duration": 1.793095, + "end_time": "2024-09-10T14:15:38.505588", "exception": false, - "start_time": "2024-09-10T13:52:02.841708", + "start_time": "2024-09-10T14:15:36.712493", "status": "completed" }, "tags": [] @@ -60,20 +60,20 @@ { "cell_type": "code", "execution_count": 2, - "id": "b8368c92", + "id": "ec5cbe24", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:52:04.290578Z", - "iopub.status.busy": "2024-09-10T13:52:04.290234Z", - "iopub.status.idle": "2024-09-10T13:52:04.298666Z", - "shell.execute_reply": "2024-09-10T13:52:04.298284Z" + "iopub.execute_input": "2024-09-10T14:15:38.510706Z", + "iopub.status.busy": "2024-09-10T14:15:38.510252Z", + "iopub.status.idle": "2024-09-10T14:15:38.514113Z", + "shell.execute_reply": "2024-09-10T14:15:38.513517Z" }, "nbsphinx": "hidden", "papermill": { - "duration": 0.011721, - "end_time": "2024-09-10T13:52:04.300237", + "duration": 0.008292, + "end_time": "2024-09-10T14:15:38.515982", "exception": false, - "start_time": "2024-09-10T13:52:04.288516", + "start_time": "2024-09-10T14:15:38.507690", "status": "completed" }, "tags": [ @@ -95,19 +95,19 @@ { "cell_type": "code", "execution_count": 3, - "id": "a706a6f4", + "id": "26a54808", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:52:04.303435Z", - "iopub.status.busy": "2024-09-10T13:52:04.303285Z", - "iopub.status.idle": "2024-09-10T13:52:04.310941Z", - "shell.execute_reply": "2024-09-10T13:52:04.310505Z" + "iopub.execute_input": "2024-09-10T14:15:38.520009Z", + "iopub.status.busy": "2024-09-10T14:15:38.519794Z", + "iopub.status.idle": "2024-09-10T14:15:38.523063Z", + "shell.execute_reply": "2024-09-10T14:15:38.522254Z" }, "papermill": { - "duration": 0.01067, - "end_time": "2024-09-10T13:52:04.312198", + "duration": 0.007513, + "end_time": "2024-09-10T14:15:38.524950", "exception": false, - "start_time": "2024-09-10T13:52:04.301528", + "start_time": "2024-09-10T14:15:38.517437", "status": "completed" }, "tags": [ @@ -127,21 +127,21 @@ { "cell_type": "code", "execution_count": 4, - "id": "b64dac71", + "id": "3dcf378e", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:52:04.315135Z", - "iopub.status.busy": "2024-09-10T13:52:04.314989Z", - "iopub.status.idle": "2024-09-10T13:52:04.322329Z", - "shell.execute_reply": "2024-09-10T13:52:04.321929Z" + "iopub.execute_input": "2024-09-10T14:15:38.528866Z", + "iopub.status.busy": "2024-09-10T14:15:38.528645Z", + "iopub.status.idle": "2024-09-10T14:15:38.532343Z", + "shell.execute_reply": "2024-09-10T14:15:38.531864Z" }, "lines_to_next_cell": 0, "nbsphinx": "hidden", "papermill": { - "duration": 0.010296, - "end_time": "2024-09-10T13:52:04.323675", + "duration": 0.007654, + "end_time": "2024-09-10T14:15:38.534107", "exception": false, - "start_time": "2024-09-10T13:52:04.313379", + "start_time": "2024-09-10T14:15:38.526453", "status": "completed" }, "tags": [] @@ -170,14 +170,14 @@ }, { "cell_type": "markdown", - "id": "ded8465d", + "id": "7dbcc7e4", "metadata": { "lines_to_next_cell": 0, "papermill": { - "duration": 0.001121, - "end_time": "2024-09-10T13:52:04.325980", + "duration": 0.001272, + "end_time": "2024-09-10T14:15:38.536811", "exception": false, - "start_time": "2024-09-10T13:52:04.324859", + "start_time": "2024-09-10T14:15:38.535539", "status": "completed" }, "tags": [] @@ -189,19 +189,19 @@ { "cell_type": "code", "execution_count": 5, - "id": "d9a62356", + "id": "1249200e", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:52:04.328929Z", - "iopub.status.busy": "2024-09-10T13:52:04.328773Z", - "iopub.status.idle": "2024-09-10T13:52:04.332836Z", - "shell.execute_reply": "2024-09-10T13:52:04.332368Z" + "iopub.execute_input": "2024-09-10T14:15:38.540565Z", + "iopub.status.busy": "2024-09-10T14:15:38.540352Z", + "iopub.status.idle": 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", 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I7AEAABRI7AEAABRI7AEAABRI7AEAABRI7AEAABRI7AEAABRI7AEAABRocLUHAAD4cy2PL6n2CAADnit7AAAABRJ7AAAABRJ7AAAABRJ7AAAABbJBCwBAFdmMBniluLIHAABQILEHAABQILEHAABQILEHAABQILEHAABQILtxAgAAfWI32drmyh4AAECBxB4AAECBxB4AAECBxB4AAECBaj722tvbM3fu3EyaNCkTJ07M+eefn02bNiVJKpVKrrjiikyaNCnjxo3LOeeck9bW1ipPDAAAUH01H3sXXXRRfvGLX+SKK67IF7/4xdx///2ZM2dOkmTx4sVZtmxZ5s+fn6VLl2br1q2ZPn16lScGAACovpqOvc7OzvzoRz/KzJkzc/TRR2fixIn51Kc+lTvuuCPPPfdclixZkhkzZuT444/PEUcckfnz5+eXv/xlHnzwwWqPDgAAUFU1HXvt7e3Zvn17Ghoautf22muvdHV15eGHH05ra2uOOeaY7mPNzc0ZOXJk7r333mqMCwAAUDNq+o+qv+Y1r8mYMWNy9dVXZ/To0UmSq6++OkcffXSefvrp1NXVZcSIET2+Z/jw4Wlra+vza06ePHmHx2bOnJlRo0b1+bkBAAD6S03HXpLMmzcvH/rQhzJx4sQkyeDBg/Otb30rTzzxROrr61NX1/PiZENDQ9rb26sxKgC8oloeX1LtEQAYQGo69jZs2JBp06Zl8uTJOfPMM5Mk3/rWtzJt2rTMnTs3HR0d6erq6hF8HR0daWxs7PNr3n333Ts8tmbNGiEJAAAMCDUdez/5yU+yefPmXH755amvr0+SjB07Nm95y1uybt26VCqVrF+/Ps3Nzd3fs379+rzzne+s1sgAAAA1oaY3aHn++eczaNCgHmt77LFH9thjjzQ1NWX//ffPihUruo+tW7cua9eufdn77gAAAHYHNX1l7/jjj8+iRYvyqU99Kh/96EczePDg3HDDDalUKmlpaclTTz2VRYsWpampKUOGDMkll1ySlpaWHHTQQdUeHQAAoKpqOvYOOOCA3HDDDfnSl76Us88+O5VKJWPGjMm1116b/fbbL9OmTcuWLVty3nnnZdu2bWlpacm8efOqPTYAAEDVDapUKpVqDzFQvLBBy9577939pyCqzc5sAADwylo+8oxqj9DDznZJTd+zBwAAQN+IPQAAgAKJPQAAgAKJPQAAgAKJPQAAgAKJPQAAgAKJPQAAgAKJPQAAgAKJPQAAgAKJPQAAgAKJPQAAgAKJPQAAgAKJPQAAgAKJPQAAgAKJPQAAgAKJPQAAgAKJPQAAgAKJPQAAgAKJPQAAgAKJPQAAgAKJPQAAgAKJPQAAgAKJPQAAgAKJPQAAgAKJPQAAgAKJPQAAgAKJPQAAgAKJPQAAgAKJPQAAgAKJPQAAgAKJPQAAgAKJPQAAgAKJPQAAgAKJPQAAgAKJPQAAgAKJPQAAgAKJPQAAgAKJPQAAgAKJPQAAgAKJPQAAgAKJPQAAgAKJPQAAgAKJPQAAgAKJPQAAgAKJPQAAgAKJPQAAgAKJPQAAgAKJPQAAgAKJPQAAgAKJPQAAgAIN3tkHnnrqqTv9pIMGDcq1117bp4EAAAD46+107G3bti2DBg162cesX78+//d///cXHwcAAMAra6djb9myZTs89vzzz2fx4sX5yle+kte85jWZPXv2LhkOAACAvtnp2NuRBx54IHPnzs1vfvObTJkyJeeff35e85rX7IrZAAAA6KM+x97mzZvzxS9+Md/+9rfT3Nycr3/965k0adKunA0AAIA+6lPs3XrrrVm4cGHa2tpy2mmnZebMmRkyZMiung0AAIA+6lXs/eEPf8hFF12UO++8M4cddli++tWv5vDDD3+lZgMAAKCPdjr2lixZki9/+cupVCo577zzcvrpp6euzp/pAwAAqEU7HXuf/exnM2jQoDQ3N+eOO+7IHXfcscPHDho0KNddd90uGRAAAIDe2+nYGz9+/Cs5BwAAALvQTsfe0qVLX8k5AAAA2IXcdAcAAFAgsQcAAFAgsQcAAFAgsQcAAFAgsQcAAFAgsQcAAFAgsQcAAFAgsQcAAFAgsQcAAFAgsQcAAFAgsQcAAFAgsQcAAFAgsQcAAFAgsQcAAFAgsQcAAFAgsQcAAFAgsQcAAFAgsQcAAFAgsQcAAFAgsQcAAFAgsQcAAFAgsQcAAFAgsQcAAFAgsQcAAFAgsQcAAFAgsQcAAFAgsQcAAFAgsQcAAFAgsQcAAFCgARF7V199dd72trdlzJgxed/73pcHHnggSVKpVHLFFVdk0qRJGTduXM4555y0trZWeVoAAIDqq/nY+8Y3vpHFixdn1qxZueGGG/La1742n/jEJ7Jt27YsXrw4y5Yty/z587N06dJs3bo106dPr/bIAAAAVVfTsdfZ2Zmrr746n/jEJ3LiiSdmzJgxueSSS7Jly5Y89thjWbJkSWbMmJHjjz8+RxxxRObPn59f/vKXefDBB6s9OgAAQFXVdOz96le/ytNPP513v/vd3WvDhg3LPffckz322COtra055phjuo81Nzdn5MiRuffee6sxLgAAQM0YXO0BXs5vf/vb7LPPPrnrrrvy1a9+NRs3bszYsWNz3nnnZe3atamrq8uIESN6fM/w4cPT1tbW59ecPHnyDo/NnDkzo0aN6vNzAwAA9JeavrL3zDPPpKOjI//1X/+V888/P1dddVXq6upy+umnp729PfX19amr6/kWGhoa0t7eXqWJAQAAakNNX9nr6urKtm3bctlll+Xwww9Pkhx88MHdV986OjrS1dXVI/g6OjrS2NjY59e8++67d3hszZo1QhIAABgQavrK3n777Zck+fu///vutcbGxjQ1NeWpp55KpVLJ+vXre3zP+vXr09zc3K9zAgAA1Jqajr03vvGNSZJf//rX3WvPPPNMnnzyybz+9a/P/vvvnxUrVnQfW7duXdauXfuy990BAADsDmr6Y5xveMMb8ra3vS1z5szJnDlz8upXvzpf+cpXMmrUqBx77LGZOnVqFi1alKampgwZMiSXXHJJWlpactBBB1V7dAAAgKqq6dhLkssvvzyXXXZZPvWpT2X79u1585vfnK997Wupq6vLtGnTsmXLlpx33nnZtm1bWlpaMm/evGqPDAAAUHWDKpVKpdpDDBQvbNCy9957Z/To0dUeJ0nS8viSao8AAABFWz7yjGqP0MPOdklN37MHAABA34g9AACAAok9AACAAok9AACAAok9AACAAok9AACAAok9AACAAok9AACAAok9AACAAok9AACAAok9AACAAok9AACAAok9AACAAok9AACAAok9AACAAok9AACAAok9AACAAok9AACAAok9AACAAok9AACAAok9AACAAok9AACAAok9AACAAok9AACAAok9AACAAok9AACAAok9AACAAok9AACAAok9AACAAok9AACAAok9AACAAok9AACAAok9AACAAok9AACAAok9AACAAok9AACAAok9AACAAok9AACAAok9AACAAok9AACAAok9AACAAok9AACAAok9AACAAok9AACAAok9AACAAok9AACAAok9AACAAok9AACAAok9AACAAok9AACAAok9AACAAok9AACAAok9AACAAok9AACAAok9AACAAok9AACAAok9AACAAok9AACAAok9AACAAok9AACAAok9AACAAok9AACAAok9AACAAok9AACAAok9AACAAok9AACAAok9AACAAok9AACAAok9AACAAok9AACAAok9AACAAok9AACAAok9AACAAok9AACAAok9AACAAok9AACAAok9AACAAok9AACAAok9AACAAok9AACAAok9AACAAok9AACAAok9AACAAok9AACAAok9AACAAok9AACAAok9AACAAok9AACAAok9AACAAok9AACAAok9AACAAg2o2Lv55ptzyCGHZOPGjUmSzs7OXHjhhZkwYULGjx+fOXPmpL29vcpTAgAAVN+Aib0nn3wyCxcu7LF26aWXZuXKlVm0aFGuueaarFmzJhdccEGVJgQAAKgdAyb2Lrjgghx66KHdX2/atCk33nhjPv3pT2fixIkZN25czj///Nx6661pa2ur4qQAAADVNyBi77vf/W42bNiQs88+u3vt/vvvT5JMnDixe23s2LEZPHhwVq1a1e8zAgAA1JLB1R7gL3niiSfyn//5n/nmN7+ZTZs2da+vXbs2TU1Nqa+v716rr6/PsGHD/qore5MnT97hsZkzZ2bUqFF9fm4AAID+UtNX9iqVSubMmZMPf/jDPT7CmSTt7e0ZMmTIi76noaHBJi0AAMBur6av7N1www15+umnM23atBcda2xszNatW1+03tHRkcbGxj6/5t13373DY2vWrBGSAADAgFDTsbdixYo8+uijOeqoo5L86Upfkrz1rW/N6173umzYsCGdnZ3dH+Xcvn17NmzYkBEjRlRtZgAAgFpQ07F34YUXZvPmzd1fP/jgg5k1a1aWLl2aAw44IG9961tz33335S1veUuSZPXq1alUKhk/fny1RgYAAKgJNR17w4cPz/Dhw7u/bm1tTZIceOCBGTZsWE466aRcfPHFmT9/fp577rnMmzcvp5xyShoaGqo1MgAAQE2o6dj7S+bOnZuFCxdm2rRpGTx4cKZMmZJZs2ZVeywAAICqG1R54UY4/qIXNmjZe++9M3r06GqPkyRpeXxJtUcAAICiLR95RrVH6GFnu6Sm//QCAAAAfSP2AAAACiT2AAAACiT2AAAACiT2AAAACiT2AAAACiT2AAAACiT2AAAACiT2AAAACiT2AAAACiT2AAAACiT2AAAACiT2AAAACiT2AAAACiT2AAAACiT2AAAACiT2AAAACiT2AAAACiT2AAAACiT2AAAACiT2AAAACiT2AAAACiT2AAAACiT2AAAACiT2AAAACiT2AAAACiT2AAAACiT2AAAACiT2AAAACiT2AAAACiT2AAAACiT2AAA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", "text/plain": [ "
" ] @@ -503,8 +503,8 @@ }, "papermill": { "default_parameters": {}, - "duration": 2.952569, - "end_time": "2024-09-10T13:53:43.389629", + "duration": 2.972613, + "end_time": "2024-09-10T14:17:27.735704", "environment_variables": {}, "exception": null, "input_path": "Powerlaw_Prior.ipynb", @@ -513,7 +513,7 @@ "func_name": "Powerlaw_Prior", "positive_prior": true }, - "start_time": "2024-09-10T13:53:40.437060", + "start_time": "2024-09-10T14:17:24.763091", "version": "2.6.0" } }, diff --git a/notebooks/Powerlaw_flux.ipynb b/notebooks/Powerlaw_flux.ipynb index bd273070..809f668b 100644 --- a/notebooks/Powerlaw_flux.ipynb +++ b/notebooks/Powerlaw_flux.ipynb @@ -2,13 +2,13 @@ "cells": [ { "cell_type": "markdown", - "id": "8a4f90a3", + "id": "41d2020c", "metadata": { "papermill": { - "duration": 0.008194, - "end_time": "2024-09-10T13:52:06.138905", + "duration": 0.006074, + "end_time": "2024-09-10T14:15:40.692709", "exception": false, - "start_time": "2024-09-10T13:52:06.130711", + "start_time": "2024-09-10T14:15:40.686635", "status": "completed" }, "tags": [] @@ -20,20 +20,20 @@ { "cell_type": "code", "execution_count": 1, - "id": "f8c10a61", + "id": "7d1fa321", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:52:06.164958Z", - "iopub.status.busy": "2024-09-10T13:52:06.163751Z", - "iopub.status.idle": "2024-09-10T13:52:07.600262Z", - "shell.execute_reply": "2024-09-10T13:52:07.599789Z" + "iopub.execute_input": "2024-09-10T14:15:40.703079Z", + "iopub.status.busy": "2024-09-10T14:15:40.702521Z", + "iopub.status.idle": "2024-09-10T14:15:42.339251Z", + "shell.execute_reply": "2024-09-10T14:15:42.338435Z" }, "nbsphinx": "hidden", "papermill": { - "duration": 1.456242, - "end_time": "2024-09-10T13:52:07.601743", + "duration": 1.644675, + "end_time": "2024-09-10T14:15:42.341554", "exception": false, - "start_time": "2024-09-10T13:52:06.145501", + "start_time": "2024-09-10T14:15:40.696879", "status": "completed" }, "tags": [] @@ -60,20 +60,20 @@ { "cell_type": "code", "execution_count": 2, - "id": "8fade2ea", + "id": "c5265151", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:52:07.605220Z", - "iopub.status.busy": "2024-09-10T13:52:07.604891Z", - "iopub.status.idle": "2024-09-10T13:52:07.613343Z", - "shell.execute_reply": "2024-09-10T13:52:07.612870Z" + "iopub.execute_input": "2024-09-10T14:15:42.345680Z", + "iopub.status.busy": "2024-09-10T14:15:42.345285Z", + "iopub.status.idle": "2024-09-10T14:15:42.348553Z", + "shell.execute_reply": "2024-09-10T14:15:42.347922Z" }, "nbsphinx": "hidden", "papermill": { - "duration": 0.011431, - "end_time": "2024-09-10T13:52:07.614613", + "duration": 0.007311, + "end_time": "2024-09-10T14:15:42.350445", "exception": false, - "start_time": "2024-09-10T13:52:07.603182", + "start_time": "2024-09-10T14:15:42.343134", "status": "completed" }, "tags": [ @@ -95,19 +95,19 @@ { "cell_type": "code", "execution_count": 3, - "id": "f79ccf42", + "id": "d4257212", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:52:07.617392Z", - "iopub.status.busy": "2024-09-10T13:52:07.617251Z", - "iopub.status.idle": "2024-09-10T13:52:07.625392Z", - "shell.execute_reply": "2024-09-10T13:52:07.625023Z" + "iopub.execute_input": "2024-09-10T14:15:42.354376Z", + "iopub.status.busy": "2024-09-10T14:15:42.354160Z", + "iopub.status.idle": "2024-09-10T14:15:42.356929Z", + "shell.execute_reply": "2024-09-10T14:15:42.356392Z" }, "papermill": { - "duration": 0.010931, - "end_time": "2024-09-10T13:52:07.626661", + "duration": 0.007069, + "end_time": "2024-09-10T14:15:42.358906", "exception": false, - "start_time": "2024-09-10T13:52:07.615730", + "start_time": "2024-09-10T14:15:42.351837", "status": "completed" }, "tags": [ @@ -127,21 +127,21 @@ { "cell_type": "code", "execution_count": 4, - "id": "5e4cc87a", + "id": "0fbbe0bc", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:52:07.629583Z", - "iopub.status.busy": "2024-09-10T13:52:07.629442Z", 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"2024-09-10T13:52:07.634823", + "start_time": "2024-09-10T14:15:42.376344", "status": "completed" }, "tags": [] @@ -189,19 +189,19 @@ { "cell_type": "code", "execution_count": 5, - "id": "4ca2cb6b", + "id": "f7bb3793", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:52:07.638785Z", - "iopub.status.busy": "2024-09-10T13:52:07.638647Z", - "iopub.status.idle": "2024-09-10T13:52:07.642887Z", - "shell.execute_reply": "2024-09-10T13:52:07.642522Z" + "iopub.execute_input": "2024-09-10T14:15:42.380932Z", + "iopub.status.busy": "2024-09-10T14:15:42.380732Z", + "iopub.status.idle": "2024-09-10T14:15:42.389987Z", + "shell.execute_reply": "2024-09-10T14:15:42.389403Z" }, "papermill": { - "duration": 0.007244, - "end_time": "2024-09-10T13:52:07.644200", + "duration": 0.013018, + "end_time": "2024-09-10T14:15:42.391765", "exception": false, - "start_time": "2024-09-10T13:52:07.636956", + "start_time": "2024-09-10T14:15:42.378747", "status": "completed" }, "tags": [] @@ -370,13 +370,13 @@ }, { "cell_type": "markdown", - "id": "5647d96a", + "id": "e68c8cea", "metadata": { "papermill": { - "duration": 0.001205, - "end_time": "2024-09-10T13:52:07.646690", + "duration": 0.001339, + "end_time": "2024-09-10T14:15:42.394719", "exception": false, - "start_time": "2024-09-10T13:52:07.645485", + "start_time": "2024-09-10T14:15:42.393380", "status": "completed" }, "tags": [] @@ -392,19 +392,19 @@ { "cell_type": "code", "execution_count": 6, - "id": "b4c4b338", + "id": "3c2d1370", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:52:07.649677Z", - "iopub.status.busy": "2024-09-10T13:52:07.649530Z", - "iopub.status.idle": "2024-09-10T13:52:08.077186Z", - "shell.execute_reply": "2024-09-10T13:52:08.076762Z" + "iopub.execute_input": "2024-09-10T14:15:42.398456Z", + "iopub.status.busy": "2024-09-10T14:15:42.398244Z", + "iopub.status.idle": "2024-09-10T14:15:42.893182Z", + "shell.execute_reply": "2024-09-10T14:15:42.891993Z" }, "papermill": { - "duration": 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{ "cell_type": "code", "execution_count": 8, - "id": "732859ca", + "id": "26494110", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:52:08.293821Z", - "iopub.status.busy": "2024-09-10T13:52:08.293669Z", - "iopub.status.idle": "2024-09-10T13:52:08.522046Z", - "shell.execute_reply": "2024-09-10T13:52:08.521619Z" + "iopub.execute_input": "2024-09-10T14:15:43.157174Z", + "iopub.status.busy": "2024-09-10T14:15:43.156974Z", + "iopub.status.idle": "2024-09-10T14:15:43.405626Z", + "shell.execute_reply": "2024-09-10T14:15:43.404793Z" }, "papermill": { - "duration": 0.232462, - "end_time": "2024-09-10T13:52:08.523416", + "duration": 0.256897, + "end_time": "2024-09-10T14:15:43.410652", "exception": false, - "start_time": "2024-09-10T13:52:08.290954", + "start_time": "2024-09-10T14:15:43.153755", "status": "completed" }, "tags": [] @@ -589,8 +589,8 @@ }, "papermill": { "default_parameters": {}, - "duration": 3.302748, - "end_time": "2024-09-10T13:52:08.857730", + "duration": 3.829548, + "end_time": "2024-09-10T14:15:43.854572", "environment_variables": {}, "exception": null, "input_path": "Powerlaw_flux.ipynb", @@ -602,7 +602,7 @@ "x_scale": "log", "y_scale": "log" }, - "start_time": "2024-09-10T13:52:05.554982", + "start_time": "2024-09-10T14:15:40.025024", "version": "2.6.0" } }, diff --git a/notebooks/Priors_for_Bayesian_analysis.ipynb b/notebooks/Priors_for_Bayesian_analysis.ipynb index 8f820228..281b7951 100644 --- a/notebooks/Priors_for_Bayesian_analysis.ipynb +++ b/notebooks/Priors_for_Bayesian_analysis.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "markdown", - "id": "56c59607", + "id": "994de64d", "metadata": {}, "source": [ "# Priors for Bayesian analysis\n", @@ -18,13 +18,13 @@ { "cell_type": "code", "execution_count": 1, - "id": "67e2356b", + "id": "b401e968", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:50:45.328786Z", - "iopub.status.busy": "2024-09-10T13:50:45.328174Z", - "iopub.status.idle": "2024-09-10T13:50:46.929351Z", - "shell.execute_reply": "2024-09-10T13:50:46.928330Z" + "iopub.execute_input": "2024-09-10T14:14:19.703408Z", + "iopub.status.busy": "2024-09-10T14:14:19.703294Z", + "iopub.status.idle": "2024-09-10T14:14:20.835964Z", + "shell.execute_reply": "2024-09-10T14:14:20.835441Z" }, "lines_to_next_cell": 2 }, @@ -42,7 +42,7 @@ }, { "cell_type": "markdown", - "id": "a45e52b0", + "id": "d80a4ec0", "metadata": {}, "source": [ "Now let’s assign uniform priors to the parameters of the powerlaw\n", @@ -52,13 +52,13 @@ { "cell_type": "code", "execution_count": 2, - "id": "10fbd395", + "id": "99359ff8", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:50:46.933502Z", - "iopub.status.busy": "2024-09-10T13:50:46.933090Z", - "iopub.status.idle": "2024-09-10T13:50:46.938308Z", - "shell.execute_reply": "2024-09-10T13:50:46.937334Z" + "iopub.execute_input": "2024-09-10T14:14:20.838540Z", + "iopub.status.busy": "2024-09-10T14:14:20.838283Z", + "iopub.status.idle": "2024-09-10T14:14:20.841230Z", + "shell.execute_reply": "2024-09-10T14:14:20.840897Z" } }, "outputs": [ @@ -163,7 +163,7 @@ }, { "cell_type": "markdown", - "id": "e78919d4", + "id": "6149a75f", "metadata": {}, "source": [ "We can use it as such:" @@ -172,13 +172,13 @@ { "cell_type": "code", "execution_count": 3, - "id": "79d4b1a9", + "id": "3b505c6b", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:50:46.942206Z", - "iopub.status.busy": "2024-09-10T13:50:46.941974Z", - "iopub.status.idle": "2024-09-10T13:50:46.947306Z", - "shell.execute_reply": "2024-09-10T13:50:46.946615Z" + "iopub.execute_input": "2024-09-10T14:14:20.843379Z", + "iopub.status.busy": "2024-09-10T14:14:20.843249Z", + "iopub.status.idle": "2024-09-10T14:14:20.852657Z", + "shell.execute_reply": "2024-09-10T14:14:20.852306Z" } }, "outputs": [ @@ -208,7 +208,7 @@ }, { "cell_type": "markdown", - "id": "cc3b04e2", + "id": "833b67cf", "metadata": {}, "source": [ "Now, lets's set a Gaussian prior on the spectral index" @@ -217,13 +217,13 @@ { "cell_type": "code", "execution_count": 4, - "id": "bcd5bfb4", + "id": "e7900b2d", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:50:46.951144Z", - "iopub.status.busy": "2024-09-10T13:50:46.950924Z", - "iopub.status.idle": "2024-09-10T13:50:46.962041Z", - "shell.execute_reply": "2024-09-10T13:50:46.961417Z" + "iopub.execute_input": "2024-09-10T14:14:20.854518Z", + "iopub.status.busy": "2024-09-10T14:14:20.854414Z", + "iopub.status.idle": "2024-09-10T14:14:20.857853Z", + "shell.execute_reply": "2024-09-10T14:14:20.857495Z" } }, "outputs": [ @@ -252,13 +252,13 @@ { "cell_type": "code", "execution_count": 5, - "id": "b8d28782", + "id": "9bc7b626", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:50:46.964962Z", - "iopub.status.busy": "2024-09-10T13:50:46.964775Z", - "iopub.status.idle": "2024-09-10T13:50:47.377040Z", - "shell.execute_reply": "2024-09-10T13:50:47.376314Z" + "iopub.execute_input": "2024-09-10T14:14:20.859781Z", + "iopub.status.busy": "2024-09-10T14:14:20.859647Z", + "iopub.status.idle": "2024-09-10T14:14:21.173754Z", + "shell.execute_reply": "2024-09-10T14:14:21.173352Z" } }, "outputs": [ @@ -274,7 +274,7 @@ }, { "data": { - "image/png": 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r33zzzTn++ONz9NFHZ+LEibniiivy3HPP5b/+67+qMD0AAMDgUVvNnT/wwANJkilTprQu23fffVNbW5uFCxfmmGOOabP+ypUrU19f3/r3oUOHpqamJs3Nzb2eYerUqZ1eNmPGjOyyyy693jYAAMBAqeo7d0uXLs2YMWNSV1fXuqyuri6jRo3q8J27adOm5aabbsrDDz+cNWvW5Itf/GLq6+szadKkgRwbAABg0KnqO3eNjY0ZNmxYu+X19fUd/hzdxz/+8dx222059thjU1NTk0qlknPOOSdbb711r2e46667Or1s8eLFfp4PAAB4Q6hq3I0cOTJNTU3tlq9ZsyYjR45st/yss85KXV1dvvWtb+XNb35z7rjjjnzpS1/KrrvumsMOO2wgRgYAABiUqhp3Y8aMybJly9Lc3Nz60cyWlpYsW7Ys48ePb7Puww8/nPvuuy833HBD9t9//yTJ3nvvnd/97ne5+eabxR0AALBZq+rP3E2ePDmVSiX3339/67JFixalUqm0+zm6tWvXdriNurq6DB06tF/nBAAAGOyqGncjR47Msccem8suuyyLFi3KnXfemfPPPz8nnnhi6uvr09DQkKeffjpJMmHChOy222757Gc/m1/96ld5+OGH8y//8i/55S9/meOPP76aNwMAAKDqaiqVSqWaA6xevTqzZ8/OLbfcktra2kyfPj0zZ87MlltumVmzZuW+++7L7bffniRZvnx5vvKVr+SOO+7IypUrs8suu+Sss87KkUce2S+zrT+hyogRIzJhwoR+2QcAAEBXetolVY+7wUzcAQAA1dbTLqnqxzIBAADoG+IOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAFWPu+bm5lx88cWZPHlyJk2alPPPPz+NjY2drn/77bdn+vTpmThxYo488sjcfPPNAzgtAADA4FT1uJszZ07uvvvuzJ07N/Pnz8/ixYtzwQUXdLjub37zm3ziE5/I9OnTc+ONN+bd7353Lrjggjz66KMDPDUAAMDgUlvNna9cuTI33nhj5s2blylTpiRJzjvvvJxyyilpaGjI6NGj26z/zW9+M0ceeWQ++tGPJkkmTJiQ++67L/fee2/e+ta3Dvj8AAAAg0VV37l74IEHkqQ17JJk3333TW1tbRYuXNhm3ZaWltx7771597vf3Wb597///fz93/99/w8LAAAwiFX1nbulS5dmzJgxqaura11WV1eXUaNGpaGhoc26Tz75ZFavXp0XX3wxJ510Uv70pz9lxx13zD/8wz/k8MMP7/UMU6dO7fSyGTNmZJdddun1tgEAAAZKVd+5a2xszLBhw9otr6+vb3dSlZdeeilJ8qUvfSn/5//8n1xzzTU56KCD8g//8A+5//77B2ReAACAwaqq79yNHDkyTU1N7ZavWbMmI0eObLNs3bp1SZIzzjgj733ve5Mk++yzTxYuXJgFCxZk//3379UMd911V6eXLV68uMszdwIAAAwWVX3nbsyYMVm2bFmam5tbl7W0tGTZsmUZP358m3XXn1xlw49Jvu1tb8uyZcv6f1gAAIBBrKpxN3ny5FQqlTYfq1y0aFEqlUomTZrUZt0ddtgho0ePzkMPPdRm+SOPPOLn4gAAgM1e1T+Weeyxx+ayyy7LpZdemlWrVuWSSy7JiSeemPr6+jQ0NKSpqSnjx4/PkCFD8uEPfzjz5s3Ltttumz333DM///nP88gjj+QrX/lKNW8GAABA1VU17pLkoosuyuzZs3PmmWemtrY206dPz8yZM5MkV111Ve67777cfvvtSZIPf/jD2WKLLfLVr341y5cvz4QJE3L11Vdnu+22q+ZNAAAAqLqaSqVSqfYQg9X6E6qMGDEiEyZMqPY4AADAZqinXVLVn7kDAACgb4g7AACAAog7AACAAog7AACAAog7AACAAog7AACAAmx03L366qvZZ5998stf/rI/5gEAAKAXNjruttxyy0yaNCn33HNPf8wDAABAL9T25konn3xyZs2albVr12batGkZPnx4u3WmTJmyycMBAADQMzWVSqWysVfq7Lei19TUpFKppKamJg899NAmD1dtPf1N8AAAAP2lp13Sq3fuvvOd7/R6MAAAAPper+LugAMO6Os5AAAA2AS9irvktbcGv/zlL+eBBx7IqlWrMmbMmEybNi0f+9jHst122/XljAAAAHSjV3G3ePHinHTSSfmrv/qr/N3f/V1GjBiRp59+Ov/6r/+aW265JTfccEPe9ra39fWsAAAAdKJXcfelL30pe+21V6655poMHTq0dfnKlSvz0Y9+NF/84hfz9a9/vc+GBAAAoGsb/XvukmTRokU58cQT24RdkowcOTJ///d/n/vvv79PhgMAAKBnehV3lUolLS0tHV62bt26NDU1bdJQAAAAbJxexd1+++2XH/zgB2lubm6zvFKp5Oabb87uu+/eJ8MBAADQM736mbtPfvKTOfnkk3P00Ufn3e9+d7bbbrusWLEiP//5z/PYY4/lG9/4Rl/PCQAAQBd6FXcTJ07M9ddfn3/6p3/Ktdde2/oRzQkTJuTrX/96Dj300D4dEgAAgK71+vfcTZw4Mf/yL/+S5ubmvPDCCxkxYkS22mqrvpwNAACAHupx3N1zzz3Zc889s/XWW+eee+7pdv0pU6Zs0mAAAAD0XI/j7rTTTss///M/Z+rUqTnttNNSU1OTSqXSZp31y2pqavLQQw/1+bAAAAB0rMdx953vfCcTJkxo/X8AAAAGjx7H3QEHHJAkefXVV/PMM89kypQpGTt2bL8NBgAAQM9t9O+523LLLTNnzpwsWrSoP+YBAACgF3r1S8xPPvnkXH/99Vm9enVfzwMAAEAv9OpXIbz00kt5/PHHc8QRR+Qd73hHhg8f3ubympqafO5zn+uTAQEAAOher+Lul7/8ZUaMGJEk+f3vf9/u8pqamk2bCgAAgI2y0XH30ksv5Stf+Ure8pa35M1vfnN/zAQAAMBG6nHcrV69OhdffHH+7d/+rXXZwQcfnMsuuyzbbbddvwwHAABAz/Q47r761a/mpz/9aY477rhMnDgxzz77bL73ve/l4x//eBYsWNCPIwIAANCdHsfdrbfemtNOOy0zZ85sXbbnnnvmnHPOyeOPP56//uu/7o/5AAAA6IEe/yqEZ555JpMmTWqz7MADD0ylUskLL7zQ54MBAADQcz2Ou0qlkrq6ujbLhg0b1noZAAAA1dOrX2IOAADA4LJRcdfZ76/ze+0AAACqa6N+z91HPvKRDpd/4AMfaPP3mpqa/OEPf+j9VAAAAGyUHsfde97znv6cAwAAgE3Q47ibM2dOf84BAADAJnBCFQAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAJUPe6am5tz8cUXZ/LkyZk0aVLOP//8NDY2dnu9xx57LPvuu29+/vOfD8CUAAAAg1vV427OnDm5++67M3fu3MyfPz+LFy/OBRdc0OV11q5dm1mzZqWpqWmApgQAABjcaqu585UrV+bGG2/MvHnzMmXKlCTJeeedl1NOOSUNDQ0ZPXp0h9e75pprMmzYsIEcFQAAYFCr6jt3DzzwQJK0hl2S7Lvvvqmtrc3ChQs7vM4f//jHXHPNNZk9e/aAzAgAAPBGUNV37pYuXZoxY8akrq6udVldXV1GjRqVhoaGduu3tLRk1qxZ+cQnPpEddtihT2aYOnVqp5fNmDEju+yyS5/sBwAAoD9V9Z27xsbGDj9eWV9f3+FJVb75zW9mxIgR+cAHPjAQ4wEAALxhVPWdu5EjR3Z4UpQ1a9Zk5MiRbZY99NBDue6663LTTTelpqamz2a46667Or1s8eLFPTpzJwAAQLVV9Z27MWPGZNmyZWlubm5d1tLSkmXLlmX8+PFt1l24cGFeeeWVHHPMMZk4cWImTpyYJPnUpz6VE044YUDnBgAAGGyq+s7d5MmTU6lUcv/99+eggw5KkixatCiVSiWTJk1qs+573vOeTJs2rc2yY445Jueee24OP/zwAZsZAABgMKr6xzKPPfbYXHbZZbn00kuzatWqXHLJJTnxxBNTX1+fhoaGNDU1Zfz48dl6662z9dZbt9vGmDFjsv3221dhegAAgMGjqnGXJBdddFFmz56dM888M7W1tZk+fXpmzpyZJLnqqqty33335fbbb6/ylAAAAINbTaVSqVR7iMFq/QlVRowYkQkTJlR7HAAAYDPU0y6p6glVAAAA6BviDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoABVj7vm5uZcfPHFmTx5ciZNmpTzzz8/jY2NHa7b0tKSL33pSznkkEOy995755hjjsnPfvazAZ4YAABg8Kl63M2ZMyd333135s6dm/nz52fx4sW54IILOlz361//er73ve9l1qxZ+fGPf5y/+7u/yz/+4z/m97///QBPDQAAMLjUVnPnK1euzI033ph58+ZlypQpSZLzzjsvp5xyShoaGjJ69Og26//oRz/KGWeckWOOOSZJMmHChNxzzz35wQ9+kMsuu2zA5wcAABgsqvrO3QMPPJAkrWGXJPvuu29qa2uzcOHCNuuuWbMmW2yxRfbdd982y0ePHp1ly5b1/7AAAACDWFXfuVu6dGnGjBmTurq61mV1dXUZNWpUGhoa2qw7dOjQ3HnnnW2WPfHEE7n77rtz6qmn9nqGqVOndnrZjBkzsssuu/R62wAAAAOlqu/cNTY2ZtiwYe2W19fXd3pSlfVuu+22nHTSSRk1alROP/30/hoRAADgDaGq79yNHDkyTU1N7ZavWbMmI0eO7PA6K1asyEUXXZTbbrsthx12WC6//PK86U1v6vUMd911V6eXLV68uNvIBAAAGAyqGndjxozJsmXL0tzc3PrRzJaWlixbtizjx49vt/6TTz6Zk08+OevWrcvXvva1HHXUUQM9MgAAwKBU1Y9lTp48OZVKJffff3/rskWLFqVSqWTSpEnt1v/MZz6T4cOHZ8GCBcIOAADgdar+scxjjz02l112WS699NKsWrUql1xySU488cTU19enoaEhTU1NGT9+fFasWJF77rknl112WV5++eW8/PLLrdsZNmxYxo4dW8VbAgAAUF1VjbskueiiizJ79uyceeaZqa2tzfTp0zNz5swkyVVXXZX77rsvt99+e5566qlUKpVceOGF7bZxwAEH5Prrrx/o0QEAAAaNmkqlUqn2EIPV+hOqjBgxIhMmTKj2OAAAwGaop11S1Z+5AwAAoG+IOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAKIOwAAgAJUPe6am5tz8cUXZ/LkyZk0aVLOP//8NDY2drr+DTfckMMOOyx/8zd/k1NPPTVLliwZwGkBAAAGp6rH3Zw5c3L33Xdn7ty5mT9/fhYvXpwLLrigw3VvueWWfP7zn8+MGTPygx/8IGPHjs2HP/zhNDU1DfDUAAAAg0ttNXe+cuXK3HjjjZk3b16mTJmSJDnvvPNyyimnpKGhIaNHj26z/jXXXJMPfvCDOe6445Ikn/3sZ3PggQfmjjvuyNFHHz3Q4w+4l1e3ZMG9z+ePT6/KbuPrc9yBY/Om4bWtl/3w/3s2dzy4IknytxNH5d37b5vbftvQuv6R+45u/ftOY4YlSZ74c1Ob/99wu53N8PsnXsmalnUZtuWQ7LnjVl1ep69u81u2qcvipxqzdFlTdnnL8Jx7/M7Zanhtt7e7L2fr6hhszDobs16p1t/+Pyx9Ja80rc3ylc3ZYkhN/nbiqLx/2nZJ0uFj7fWP447ut+6+Ttbvs+nVddliSLJ2XTK0dkj22qlnj+PN/bgB3dvwueb1zzFJ2j2HdLTsTcNr2z3fdPf811dz/+axlVm6vClNzevytu3qc+7xO2e7UcM6XX+wfL89ct/R+Y/7l7V5TfD+adu1+x6wqd+f11/+2yUvZ8nzq/PCK80ZVrdF3r3/tjl+ytguj9GzK5ry+ZuW5LHnVre+lunovu2P+6yrx+VAvk7p6DXr64/Tpnr9fbzjtsOyy9jh+a9HV2bdukq2HlGbFxtb2rze6O3ruMGqplKpVKq18zvuuCNnn312HnjggdTV1SV57WOa73jHO/K5z30uxxxzTOu6r7zySiZNmpRrr702Bx54YOvyU045JbvssksuueSSPp9v8eLFaWxszIgRIzJhwoQ+3/7GeHl1S0778oNZuuwv71LuuO2wXDtjYpLkQ3MfzFPL276DWTukJi3r/nJ4a7eoScva7g/3+u129GDfcIburrMputpf8trte/PILfPci81tlq9/wd7Xs3V1DF7/jaO7dTZmvVJ1d2zHbVOXIVsMafeYTto/jl9/v3X3ddLVPjfcVk/n3pyOG9C9rp7fth89NKmpafPctv2bhyWVSp5qWNO6bMdth+WrH90j/8/8h9psp6vnv/6cu3aLmvxk1t+0iZD+fD7s7ffbjl7nbD96aK775D5J2n8P6M335+6+f3X1GuTZFU1575W/aTNjR/dtb2zK3AP5OuXl1S0dvmZdf5w29bHT0X3cle3fPCzX/b8b/zquGnraJVX9WObSpUszZsyY1rBLkrq6uowaNSoNDQ1t1n3qqaeybt267LDDDm2Wjx07tt26G2Pq1Kmd/nnwwQd7vd2+tuDe59t9QS5d1pQF9z6fBfc+3+GL4NeHXZIeP9DXb7cnM3R3nU3R1f6S127fhmGXtH1S7cvZujoGG7POxqxXqu6O7TMvNHf4mE7aP45ff79193XS1T433FZP596cjhvQva6ea55qWNPuue2p5U1twi557Xnl8zctabedrp7/NlVXc7esreTzNy3pdv1qf7/t6HXOUw1rOv0e0Jvvz919L+nqNcjnb1rSbsaO7tve2JS5B/J1SmevWdcfp03V0X3claeW9+513GBW1QRtbGzMsGHt/6Wivr6+3UlV1v99w/Xr6+s3Ke7eKP749KoOlz/yzKr0x3uvjzzTfn+dzdDVdTZFd/vbGH0xW1fHYGPW2Zj1StWXxzb5y/3WF18nXR2Dzf24Ad3rq+e3x55b3aP1+ur5p7u5N5ynP58PN+X7bWfX6+x7wMZ+f+7N8V1/3c6OaU+PdVc2de6Bep3S1Rx98djpzX3Zm9dxg1lV37kbOXJkhydDWbNmTUaOHNlu3SRZvbrtQWtubm637sa46667Ov0zceLEXm+3r+02vr7D5buOq+/0sk2x67j22+xuPx1dZ1P05e3qi9m6OgYbs87GrFeqvn7Mrr/f+uLrpKtjsLkfN6B7ffX8tstbhvdovb56/ulu7g3n6c/nw035ftvZ9frq+3Nvju/663Z2THt6rLuyqXMP1OuUruboi8dOb+7L3ryOG8yqGndjxozJsmXL0tz8l4/WtbS0ZNmyZRk/fnybdbfddtskybPPPttm+bPPPptx48b1/7BVdtyBY7Pjtm3ftdxp22E57sCxOe7Asa99Zn8DtUNq2v59i5p263Rk/XZ7MkN319kUXe0vee32veWv6tot32KDR3VfzdbVMdiYdTZmvVJ1d2zHb1PX4WM6af84fv391t3XSVf73HBbPZ17czpuQPe6eq7ZYfTQds9tO7x52Gs/i/c6O207LOcev3O77XT1/Lepupq7douanHv8zt2uX+3vtx29ztlh9NBOvwf05vtzd99LunoNcu7xO7ebsaP7tjc2Ze6BfJ3S2WvW9cdpU3V0H3dlhzf37nXcYFbVE6qsXLkyBx10UObPn5+DDjooSXLPPffkjDPOyH333Zf6+raVfMIJJ+Sggw7KJz/5ySSvnWRl2rRpmTdvXuv1+9JgOqFK8pez9zzyzKrsOq7js2Xe+bvXzjx06N5/OWvk+vXXn2XrkWdWtT5wly5ravP/G263sxnWn2lpWN2Q7LlD/58t85FnVmXsX3V+tsyubnd/nL2rq233ZJ2NWa9UrY+lJ1/JK6vXpuHl186Weejebc+WueFj7fWP447ut+6+Ttbvs6l5XbbYIlm7Nht11tfN/bgB3dvwueb1zzFJ2j2HdLTs9WfL7Oj7eH88//zlLJAr88SypqxpXpe39uBsmYPl++36s2W+/jVBR2fL3NTvz+sv/5/HX85jz712tszhdVvkmNedLbOz6w7E2TK7m7ujx+VAvk7p6DVrf58t84HHVmbtukq2rq/NS40t2WKLmk73O1i/z/e0S6oad0ly/vnn57//+79z6aWXZtWqVbnkkktyxBFH5MILL0xDQ0Oamppa38VbsGBBPvvZz2b27NnZbrvt8pWvfCUvvvhifvKTn2TIkL5/E3KwxR0AALD56WmXVD1DL7roosyePTtnnnlmamtrM3369MycOTNJctVVV+W+++7L7bffniQ57rjjsmLFisyZMycvv/xyJk+enG9+85v9EnYAAABvJFV/524w884dAABQbW+I33MHAABA3xB3AAAABRB3AAAABRB3AAAABRB3AAAABRB3AAAABRB3AAAABRB3AAAABRB3AAAABRB3AAAABRB3AAAABRB3AAAABRB3AAAABRB3AAAABRB3AAAABRB3AAAABRB3AAAABRB3AAAABRB3AAAABRB3AAAABRB3AAAABRB3AAAABRB3AAAABRB3AAAABRB3AAAABRB3AAAABRB3AAAABRB3AAAABRB3AAAABRB3AAAABRB3AAAABRB3AAAABRB3AAAABRB3AAAABRB3AAAABRB3AAAABRB3AAAABRB3AAAABRB3AAAABRB3AAAABRB3AAAABRB3AAAABRB3AAAABRB3AAAABRB3AAAABait9gCD2Zo1a5Ikq1evzuLFi6s8DQAAsDlavXp1kr/0SWfEXRfWrVvX+t/GxsYqTwMAAGzO1vdJZ8RdF+rq6tLc3JwhQ4Zk6NChPbrOgw8+mCSZOHFif47GIOYxsHlz/Ddvjv/mzfHHY2Dz1p/Hf82aNVm3bl3q6uq6XK+mUqlU+nzvm7GpU6cmSe66664qT0K1eAxs3hz/zZvjv3lz/PEY2LwNhuPvhCoAAAAFEHcAAAAFEHcAAAAFEHcAAAAFEHcAAAAFcLZMAACAAnjnDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADirh9cfvnlufTSS9stv/fee3Pcccdln332yfTp03PHHXcM/HBAv2hubs7FF1+cyZMnZ9KkSTn//PPT2NhY7bGAfrZixYrsueeeWbFiResyzwebj46OP+VraGjIP/7jP2bSpEnZZ5998sEPfjAPPfRQkqRSqeTLX/5yDj744Oy33345++yzs3z58gGbTdz1obVr1+ZXv/pVbrrppnaXPfXUU/n4xz+eadOm5cc//nHe+9735uyzz87ixYurMCkDYerUqZk4cWKbPx09NijDnDlzcvfdd2fu3LmZP39+Fi9enAsuuKDaYzGAvvvd77b7mj/qqKOqPRb96M9//nNmz56dtWvXtlnu+WDz0Nnx91xQvhkzZuTRRx/N1772tXz3u9/NyJEj89GPfjSrV6/ONddck+9///u59NJLc/3116epqSlnnXXWgM1WO2B7KtzTTz+do48+Os3NzR1e/r3vfS9ve9vbcs455yRJdtttt9x+++350Y9+lM985jMDOSoDoKGhIQ0NDbn55puz5ZZbti4fM2ZMFaeiv6xcuTI33nhj5s2blylTpiRJzjvvvJxyyilpaGjI6NGjqzwhA+FPf/pT3vOe9+RDH/pQ67LXf/1Tls985jP54Q9/2G6554PNQ2fHP/FcULolS5Zk0aJF+dGPfpR99903SXLVVVdl8uTJ+cUvfpFrr702n/jEJ3LEEUckSS699NIcdthhefDBBzNx4sR+n887d31k2223zY9+9KMsWLAge+21V7vLFy5cmGnTprVZdsABB+Tee+8dqBEZQEuWLMkOO+yQCRMm5K1vfWvrnze96U3VHo1+8MADDyRJ6wu5JNl3331TW1ubhQsXVmssBtiSJUuy//77t/ma33HHHas9Fv3kzDPPzIIFC3L55Ze3We75YPPQ2fFPPBeU7vnnn8/YsWOzxx57tC4bMWJEhg8fnqeffjrLly9v85p/3Lhx2X777QfsNb+46yN1dXXZY489sscee2TEiBHtLn/yySezww47tFk2duzYNDQ0DNSIDKAlS5ZkyJAh+eAHP5jJkyfnPe95T376059Weyz6ydKlSzNmzJjU1dW1Lqurq8uoUaN8jW9GlixZkltuuSVHHXVUpk2blk9/+tP585//XO2x6Cfjxo3LHnvs0e5Fu+eDzUNnxz/xXFC6Aw88ML/61a/afI3/x3/8R1auXJnddtstQ4YMyfjx49tcZyBf84u7AdLY2JihQ4e2WTZixAg/YF2oxx57LCtWrMj73ve+fPvb38473/nOzJw5MwsWLKj2aPSDxsbGDBs2rN3y+vp6X+ObicbGxjz//POpq6vLP/3TP2XOnDl59NFHc9ppp2XNmjXVHo8B5Plg8+a5YPPS0tKSb33rW5k5c2aOOuqoNDY2pq6uLkOGtE2sgfz69zN3PfTyyy93+a8uu+yyS2pqajq9/E1velOampraLFuzZk1GjhzZZzMycLp7PJxxxhk588wzs/XWWydJ9tprrzz77LO57rrrctxxxw3QlAyUkSNHtvv6TnyNb06GDh2a22+/PePGjWv9XrDrrrvm0EMPzV133dX6sxeUz/PB5s1zwebj97//fWbNmpVHH300p59+embMmJFf//rXWbNmTdatW9cm8Aby61/c9dAvfvGLnHfeeZ1e/sADD3T4ccz1xowZk2eeeabNsmeffTbjxo3rsxkZOL15POy+++65/fbb+3s0qmDMmDFZtmxZmpubWz+m0dLSkmXLlrX7aAZlqq2t7fBjONtss02WLVtWpamoBs8HmzfPBZuH//zP/8yMGTOyxx575KabbsqECROSvPb1X6lU8txzz7V5jf/cc8/l6KOPHpDZfCyzh44//vg8/PDDnf7pKuySZNq0afn1r3/dZtmvf/3rHHzwwf05Nv2ku8fD+9///nznO99pc50HH3wwu+66a5Umpj9Nnjw5lUol999/f+uyRYsWpVKpZNKkSVWcjIGyYMGCHHHEEXn11Vdblz355JN54YUXfN1vZjwfbN48F5TvlVdeyaxZs3LEEUfkhhtuaA27JJkwYUK23XbbNq/5n3zyySxdujRTp04dkPnE3QA54YQT8vvf/z5f+9rX8oc//CFXXHFF/vCHP+TEE0+s9mj0g6lTp+ZrX/taFixYkIceeijz58/Pv/3bv+WMM86o9mj0g5EjR+bYY4/NZZddlkWLFuXOO+/M+eefnxNPPDH19fXVHo8BMHny5Lz00ks599xz89///d+55557MmPGjLz97W/PO97xjmqPxwDyfLB581xQvrvvvjuNjY35yEc+kqeffjpPPPFE65+VK1fmpJNOyty5c3PnnXdm4cKFOfvss3P44Ydnp512GpD5fCxzgPz1X/915s2bl89//vOZP39+3va2t+Xqq6/OdtttV+3R6AfnnHNOhg4dmrlz52b58uXZeeedM2fOnBx00EHVHo1+ctFFF2X27Nk588wzU1tbm+nTp2fmzJnVHosBst122+Xb3/52rrrqqpx++umpq6vL1KlTc/7551d7NKrA88Hmy3NB+ZYuXZpXX301xx9/fLvLzj777Jx11llZvXp1zj333Lz66qs5/PDDc8kllwzYfDWVSqUyYHsDAACgX/hYJgAAQAHEHQAAQAHEHQAAQAHEHQAAQAHEHQAAQAHEHQAAQAHEHQAAQAHEHQAAQAHEHQB0YOHChdl9991z9913V3uUVvfcc0/e9a53Za+99srTTz/d4Tonn3xyTjrppHbLV6xYkenTp2fvvffOLbfc0t+jAlAFtdUeAADomW9/+9tZsWJF5s6dm9GjR/f4eitWrMiHPvShLFmyJHPnzs2RRx7Zj1MCUC3iDgDeIJqamrLTTjvlqKOO6vF1VqxYkVNPPTVPPPFE5s2bl0MPPbQfJwSgmnwsE4CinH766Zk0aVJeffXVNsvPO++87L///lmzZk2S5Be/+EVOOOGE7Lfffpk8eXJOO+203H///Z1ud9asWTnkkEPaLHvqqaey++6758Ybb2xdtnr16lx55ZU55JBDss8+++R973tfbr/99m7nfvzxx3P22Wdn//33z7777psPfvCDWbhwYevlu+++e+6777789re/ze67756nnnqq222uD7ulS5fmW9/6lrADKJy4A6Ao06dPz8qVK3Pfffe1Lnv11Vfzy1/+MkcffXSGDh2a3/zmN/nEJz6RHXfcMXPmzMmsWbPywgsv5MMf/nBefPHFXu977dq1+djHPpabb745p59+er7whS9kxx13zMc//vH87Gc/6/R6zzzzTN7//vfn0UcfzTnnnJMrr7wyW221VU499dTceeedSZKrr746u+22W3bddddcffXVefOb39zlLC+88EJOPfXUPPbYY7n66qszZcqUXt8uAN4YfCwTgKIcddRRueSSS/KLX/wiBx98cJLXTkTy0ksv5X//7/+dJPnjH/+Yt7/97fnCF76QmpqaJMlb3vKWnHrqqXn44YczefLkXu37lltuycKFC/ODH/wg++23X5Lkne98Z1544YXMnTs3xxxzTIfXmzdvXtasWZPvfve7rT9Ld/TRR+eEE07IF77whRx66KE55JBDcvXVV6elpaXdO4gbevnll1tvS5IsX768V7cHgDcW79wBUJStttoqhx9+eG677bZUKpUkya233prx48dn//33T5K8733vyw033JBXXnklv/vd73Lrrbfm+9//fpLX3n3rrTvvvDNjx47NbrvtlsbGxtY/hxxySJ544ok0NDR0eL277rorhx56aJuTpNTU1OTII4/MH//4x7zyyisbNccjjzyS5557Lv/8z/+cbbfdNhdffHGeffbZXt8uAN4YvHMHQHGOPfbY/OxnP8tvfvObTJw4MbfddltOOumk1nfpnnzyyVx00UVZuHBhRo0alZ122inbbbfdRu9nfTyut3z58jz//PN5+9vf3uH6L7zwQodnuVy+fHnGjRvXbvlWW22VJGlsbGz9/57Yeuutc91112XChAmZM2dOzjjjjJx77rm57rrrMmSIf9cFKJW4A6A4U6dOzTbbbJNf/OIXaWxszIsvvtj6kcwkmTlzZhoaGnLrrbdmxx13TJLcfffd+fd///dOt7k+DF9vw5/Pe9Ob3tT6c3wd6SjgktcibsWKFe2WP/3009lyyy2zzTbbdDpXR9761rdmwoQJSZJp06blAx/4QG644YZcffXV+djHPrZR2wLgjcM/3wFQnC233DLvete7ctttt+XWW2/NPvvsk5133rn18oceeijTpk1rDbsk3f6y8vr6+jQ2NrZ5t27RokVt1jnggAPy/PPPZ8cdd8z+++/f+ueBBx7IvHnzMmzYsA63/Y53vCN33HFHm49fvvrqq7n11lszefLk1NXVbdTt39C5556bnXfeOV/96lfz4IMPbtK2ABi8xB0ARZo+fXqeeOKJ/Ou//muOO+64NpdNnDgxP/3pT/ODH/wgt9xyS84999zceuutSV47+UpH76K94x3vyCuvvJJvfOMbef755/Of//mfue6669qs8973vjfbb799Tj/99Nx444255ZZbcuGFF+aLX/xi/vZv/7bTj0SeffbZWbVqVU4++eTceOON+fnPf56zzjory5Yty4wZMzb5vhg2bFiuuuqqVCqVfOpTn8qqVas2eZsADD7iDoAivf3tb88OO+yQdevW5V3veleby+bMmZOJEyfmc5/7XK644oqMGjUqN910Uw4++OBcd911efLJJ9tt713velfOPPPMfPe738073/nOzJ8/P1deeWWbdYYPH57vfve72XvvvXPVVVdl5syZ+Z//+Z9cfvnl+dCHPtTprHvuuWeuu+66bLXVVrn88stz3nnnpampKddee2322WefPrk/Jk6cmLPOOiuPP/54Zs+e3SfbBGBwqals+NPgAAAAvOF45w4AAKAA4g4AAKAA4g4AAKAA4g4AAKAA4g4AAKAA4g4AAKAA4g4AAKAA4g4AAKAA4g4AAKAA4g4AAKAA4g4AAKAA/z9rzOHNly2IcAAAAABJRU5ErkJggg==", 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" ] @@ -309,13 +309,13 @@ { "cell_type": "code", "execution_count": 6, - "id": "a085684f", + "id": "74cacf92", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:50:47.380404Z", - "iopub.status.busy": "2024-09-10T13:50:47.380079Z", - "iopub.status.idle": "2024-09-10T13:50:47.486006Z", - "shell.execute_reply": "2024-09-10T13:50:47.485548Z" + "iopub.execute_input": "2024-09-10T14:14:21.175792Z", + "iopub.status.busy": "2024-09-10T14:14:21.175606Z", + "iopub.status.idle": "2024-09-10T14:14:21.264718Z", + "shell.execute_reply": "2024-09-10T14:14:21.264273Z" } }, "outputs": [ @@ -331,7 +331,7 @@ }, { "data": { - "image/png": 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", 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", 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" ] @@ -355,7 +355,7 @@ { "cell_type": "code", "execution_count": null, - "id": "4a2b851e", + "id": "61819e4d", "metadata": {}, "outputs": [], "source": [] diff --git a/notebooks/Quadratic.ipynb b/notebooks/Quadratic.ipynb index 92343b45..d6ae1498 100644 --- a/notebooks/Quadratic.ipynb +++ b/notebooks/Quadratic.ipynb @@ -2,13 +2,13 @@ "cells": [ { "cell_type": "markdown", - "id": "4cef0c10", + "id": "2a6d8e69", "metadata": { "papermill": { - "duration": 0.00805, - "end_time": "2024-09-10T13:51:53.865992", + "duration": 0.004849, + "end_time": "2024-09-10T14:15:25.863917", "exception": false, - "start_time": "2024-09-10T13:51:53.857942", + "start_time": "2024-09-10T14:15:25.859068", "status": "completed" }, "tags": [] @@ -20,20 +20,20 @@ { "cell_type": "code", "execution_count": 1, - "id": "5f723eca", + "id": "569d7165", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:51:53.877448Z", - "iopub.status.busy": "2024-09-10T13:51:53.876910Z", - "iopub.status.idle": 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"start_time": "2024-09-10T14:15:25.277180", "version": "2.6.0" } }, diff --git a/notebooks/Quartic.ipynb b/notebooks/Quartic.ipynb index 813407b0..5bef7d84 100644 --- a/notebooks/Quartic.ipynb +++ b/notebooks/Quartic.ipynb @@ -2,13 +2,13 @@ "cells": [ { "cell_type": "markdown", - "id": "3c9c1bd0", + "id": "7232b87e", "metadata": { "papermill": { - "duration": 0.010183, - "end_time": "2024-09-10T13:51:59.523063", + "duration": 0.00956, + "end_time": "2024-09-10T14:15:32.980305", "exception": false, - "start_time": "2024-09-10T13:51:59.512880", + "start_time": "2024-09-10T14:15:32.970745", "status": "completed" }, "tags": [] @@ -20,20 +20,20 @@ { "cell_type": "code", "execution_count": 1, - "id": "7bab24ff", + "id": "540af705", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:51:59.538661Z", - "iopub.status.busy": "2024-09-10T13:51:59.537834Z", - "iopub.status.idle": "2024-09-10T13:52:01.055857Z", - "shell.execute_reply": "2024-09-10T13:52:01.055222Z" + 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"tags": [] @@ -423,19 +423,19 @@ { "cell_type": "code", "execution_count": 6, - "id": "bad832a1", + "id": "24c48572", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:52:01.145021Z", - "iopub.status.busy": "2024-09-10T13:52:01.144848Z", - "iopub.status.idle": "2024-09-10T13:52:01.303994Z", - "shell.execute_reply": "2024-09-10T13:52:01.303183Z" + "iopub.execute_input": "2024-09-10T14:15:35.057600Z", + "iopub.status.busy": "2024-09-10T14:15:35.057400Z", + "iopub.status.idle": "2024-09-10T14:15:35.168455Z", + "shell.execute_reply": "2024-09-10T14:15:35.168045Z" }, "papermill": { - "duration": 0.162327, - "end_time": "2024-09-10T13:52:01.305316", + "duration": 0.115047, + "end_time": "2024-09-10T14:15:35.170124", "exception": false, - "start_time": "2024-09-10T13:52:01.142989", + "start_time": "2024-09-10T14:15:35.055077", "status": "completed" }, "tags": [ @@ -468,14 +468,14 @@ }, { "cell_type": "markdown", - "id": "4fd0440f", + "id": "3b7ec415", "metadata": { "lines_to_next_cell": 0, "papermill": { - "duration": 0.001705, - "end_time": "2024-09-10T13:52:01.309044", + "duration": 0.001759, + "end_time": "2024-09-10T14:15:35.173846", "exception": false, - "start_time": "2024-09-10T13:52:01.307339", + "start_time": "2024-09-10T14:15:35.172087", "status": "completed" }, "tags": [] @@ -490,19 +490,19 @@ { "cell_type": "code", "execution_count": 7, - "id": "c7c3440f", + "id": "150fb797", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:52:01.315562Z", - "iopub.status.busy": "2024-09-10T13:52:01.315364Z", - "iopub.status.idle": "2024-09-10T13:52:01.499196Z", - "shell.execute_reply": "2024-09-10T13:52:01.498807Z" + "iopub.execute_input": "2024-09-10T14:15:35.177957Z", + "iopub.status.busy": "2024-09-10T14:15:35.177781Z", + "iopub.status.idle": "2024-09-10T14:15:35.365621Z", + "shell.execute_reply": "2024-09-10T14:15:35.364231Z" }, "papermill": { - "duration": 0.19071, - "end_time": "2024-09-10T13:52:01.501259", + "duration": 0.192576, + "end_time": "2024-09-10T14:15:35.367918", "exception": false, - "start_time": "2024-09-10T13:52:01.310549", + "start_time": "2024-09-10T14:15:35.175342", "status": "completed" }, "tags": [] @@ -534,13 +534,13 @@ }, { "cell_type": "markdown", - "id": "0f96f5d4", + "id": "1ef15f84", "metadata": { "papermill": { - "duration": 0.001905, - "end_time": "2024-09-10T13:52:01.505151", + "duration": 0.002187, + "end_time": "2024-09-10T14:15:35.372460", "exception": false, - "start_time": "2024-09-10T13:52:01.503246", + "start_time": "2024-09-10T14:15:35.370273", "status": "completed" }, "tags": [] @@ -555,19 +555,19 @@ { "cell_type": "code", "execution_count": 8, - "id": "bd0f4d05", + "id": "e318381c", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:52:01.509525Z", - "iopub.status.busy": "2024-09-10T13:52:01.509295Z", - "iopub.status.idle": "2024-09-10T13:52:01.645312Z", - "shell.execute_reply": "2024-09-10T13:52:01.644916Z" + "iopub.execute_input": "2024-09-10T14:15:35.377016Z", + "iopub.status.busy": "2024-09-10T14:15:35.376750Z", + "iopub.status.idle": "2024-09-10T14:15:35.501211Z", + "shell.execute_reply": "2024-09-10T14:15:35.500280Z" }, "papermill": { - "duration": 0.139942, - "end_time": "2024-09-10T13:52:01.646790", + "duration": 0.129173, + "end_time": "2024-09-10T14:15:35.503354", "exception": false, - "start_time": "2024-09-10T13:52:01.506848", + "start_time": "2024-09-10T14:15:35.374181", "status": "completed" }, "tags": [] @@ -620,8 +620,8 @@ }, "papermill": { "default_parameters": {}, - "duration": 3.077778, - "end_time": "2024-09-10T13:52:02.082948", + "duration": 3.715, + "end_time": "2024-09-10T14:15:35.935478", "environment_variables": {}, "exception": null, "input_path": "Quartic.ipynb", @@ -633,7 +633,7 @@ "x_scale": "linear", "y_scale": "linear" }, - "start_time": "2024-09-10T13:51:59.005170", + "start_time": "2024-09-10T14:15:32.220478", "version": "2.6.0" } }, diff --git a/notebooks/Quick_start.ipynb b/notebooks/Quick_start.ipynb index 031ac015..754dc055 100644 --- a/notebooks/Quick_start.ipynb +++ b/notebooks/Quick_start.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "markdown", - "id": "dbeea705", + "id": "b1fa30df", "metadata": {}, "source": [ "# Quick start\n", @@ -15,13 +15,13 @@ { "cell_type": "code", "execution_count": 1, - "id": "640b8d3b", + "id": "fa44f2a2", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:50:48.724666Z", - "iopub.status.busy": "2024-09-10T13:50:48.724044Z", - "iopub.status.idle": "2024-09-10T13:50:50.692020Z", - "shell.execute_reply": "2024-09-10T13:50:50.690830Z" + "iopub.execute_input": "2024-09-10T14:14:22.179280Z", + "iopub.status.busy": "2024-09-10T14:14:22.178824Z", + "iopub.status.idle": "2024-09-10T14:14:23.340691Z", + "shell.execute_reply": "2024-09-10T14:14:23.340119Z" } }, "outputs": [], @@ -33,13 +33,13 @@ { "cell_type": "code", "execution_count": 2, - "id": "7dda17c5", + "id": "2a9c95e0", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:50:50.699557Z", - "iopub.status.busy": "2024-09-10T13:50:50.698991Z", - "iopub.status.idle": "2024-09-10T13:50:50.705190Z", - "shell.execute_reply": "2024-09-10T13:50:50.704560Z" + "iopub.execute_input": "2024-09-10T14:14:23.343377Z", + "iopub.status.busy": "2024-09-10T14:14:23.343013Z", + "iopub.status.idle": "2024-09-10T14:14:23.353953Z", + "shell.execute_reply": "2024-09-10T14:14:23.353530Z" } }, "outputs": [], @@ -51,7 +51,7 @@ }, { "cell_type": "markdown", - "id": "67b1e5a0", + "id": "e19a091d", "metadata": {}, "source": [ "Now let’s use it:\n", @@ -61,13 +61,13 @@ { "cell_type": "code", "execution_count": 3, - "id": "d02b733f", + "id": "74f710a8", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:50:50.708750Z", - "iopub.status.busy": "2024-09-10T13:50:50.708553Z", - "iopub.status.idle": "2024-09-10T13:50:51.364349Z", - "shell.execute_reply": "2024-09-10T13:50:51.363844Z" + "iopub.execute_input": "2024-09-10T14:14:23.355951Z", + "iopub.status.busy": "2024-09-10T14:14:23.355844Z", + "iopub.status.idle": "2024-09-10T14:14:23.887885Z", + "shell.execute_reply": "2024-09-10T14:14:23.887478Z" } }, "outputs": [ @@ -89,7 +89,7 @@ }, { "cell_type": "markdown", - "id": "5d30eedb", + "id": "fead96ad", "metadata": {}, "source": [ "Evaluate the model on an array of 100 energies logarithmically distributed between 1 and 100 keV and plot it" @@ -98,13 +98,13 @@ { "cell_type": "code", "execution_count": 4, - "id": "e161593c", + "id": "d5e1b5da", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:50:51.366723Z", - "iopub.status.busy": "2024-09-10T13:50:51.366598Z", - "iopub.status.idle": "2024-09-10T13:50:52.477736Z", - "shell.execute_reply": "2024-09-10T13:50:52.476451Z" + "iopub.execute_input": "2024-09-10T14:14:23.890029Z", + "iopub.status.busy": "2024-09-10T14:14:23.889879Z", + "iopub.status.idle": "2024-09-10T14:14:24.712469Z", + "shell.execute_reply": "2024-09-10T14:14:24.712006Z" } }, "outputs": [ diff --git a/notebooks/Sin.ipynb b/notebooks/Sin.ipynb index 1a3f11e1..65547838 100644 --- a/notebooks/Sin.ipynb +++ b/notebooks/Sin.ipynb @@ -2,13 +2,13 @@ "cells": [ { "cell_type": "markdown", - "id": "6e91228f", + "id": "9e2320f7", "metadata": { "papermill": { - "duration": 0.010673, - "end_time": "2024-09-10T13:51:17.225223", + "duration": 0.007562, + "end_time": "2024-09-10T14:14:48.193846", "exception": false, - "start_time": "2024-09-10T13:51:17.214550", + "start_time": "2024-09-10T14:14:48.186284", "status": "completed" }, "tags": [] @@ -20,20 +20,20 @@ { "cell_type": "code", "execution_count": 1, - "id": "7f46e2bd", + "id": "63691b0a", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:51:17.242599Z", - "iopub.status.busy": "2024-09-10T13:51:17.241339Z", - "iopub.status.idle": "2024-09-10T13:51:18.656882Z", - "shell.execute_reply": "2024-09-10T13:51:18.656371Z" + "iopub.execute_input": "2024-09-10T14:14:48.207245Z", + "iopub.status.busy": "2024-09-10T14:14:48.205980Z", + "iopub.status.idle": "2024-09-10T14:14:49.651952Z", + "shell.execute_reply": "2024-09-10T14:14:49.651415Z" }, "nbsphinx": "hidden", "papermill": { - "duration": 1.425651, - "end_time": "2024-09-10T13:51:18.658393", + "duration": 1.453969, + "end_time": "2024-09-10T14:14:49.653437", "exception": false, - "start_time": "2024-09-10T13:51:17.232742", + "start_time": "2024-09-10T14:14:48.199468", "status": "completed" }, "tags": [] @@ -60,20 +60,20 @@ { "cell_type": "code", "execution_count": 2, - "id": "6ec5e496", + "id": "fc1dae5b", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:51:18.661849Z", - "iopub.status.busy": "2024-09-10T13:51:18.661533Z", - "iopub.status.idle": "2024-09-10T13:51:18.669859Z", - "shell.execute_reply": "2024-09-10T13:51:18.669471Z" + "iopub.execute_input": "2024-09-10T14:14:49.656890Z", + "iopub.status.busy": "2024-09-10T14:14:49.656547Z", + "iopub.status.idle": "2024-09-10T14:14:49.658874Z", + "shell.execute_reply": "2024-09-10T14:14:49.658511Z" }, "nbsphinx": "hidden", "papermill": { - "duration": 0.011306, - "end_time": "2024-09-10T13:51:18.671075", + "duration": 0.005227, + "end_time": "2024-09-10T14:14:49.660059", "exception": false, - "start_time": "2024-09-10T13:51:18.659769", + "start_time": "2024-09-10T14:14:49.654832", "status": "completed" }, "tags": [ @@ -95,19 +95,19 @@ { "cell_type": "code", "execution_count": 3, - "id": "c930ebbf", + "id": "1c97a574", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:51:18.673916Z", - "iopub.status.busy": "2024-09-10T13:51:18.673774Z", - "iopub.status.idle": "2024-09-10T13:51:18.681820Z", - "shell.execute_reply": "2024-09-10T13:51:18.681447Z" + "iopub.execute_input": "2024-09-10T14:14:49.662779Z", + "iopub.status.busy": "2024-09-10T14:14:49.662641Z", + "iopub.status.idle": "2024-09-10T14:14:49.664594Z", + "shell.execute_reply": "2024-09-10T14:14:49.664219Z" }, "papermill": { - "duration": 0.010868, - "end_time": "2024-09-10T13:51:18.683068", + "duration": 0.004711, + "end_time": "2024-09-10T14:14:49.665813", "exception": false, - "start_time": "2024-09-10T13:51:18.672200", + "start_time": "2024-09-10T14:14:49.661102", "status": "completed" }, "tags": [ @@ -127,21 +127,21 @@ { "cell_type": "code", "execution_count": 4, - "id": "8a73d426", + "id": "b6c10dd9", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:51:18.685828Z", - "iopub.status.busy": "2024-09-10T13:51:18.685688Z", - "iopub.status.idle": "2024-09-10T13:51:18.694991Z", - "shell.execute_reply": "2024-09-10T13:51:18.694541Z" + "iopub.execute_input": "2024-09-10T14:14:49.668605Z", + "iopub.status.busy": "2024-09-10T14:14:49.668476Z", + "iopub.status.idle": "2024-09-10T14:14:49.671482Z", + "shell.execute_reply": "2024-09-10T14:14:49.671087Z" }, "lines_to_next_cell": 0, "nbsphinx": "hidden", "papermill": { - "duration": 0.012073, - "end_time": "2024-09-10T13:51:18.696239", + "duration": 0.005843, + "end_time": "2024-09-10T14:14:49.672790", "exception": false, - "start_time": "2024-09-10T13:51:18.684166", + "start_time": "2024-09-10T14:14:49.666947", "status": "completed" }, "tags": [] @@ -170,14 +170,14 @@ }, { "cell_type": "markdown", - "id": "44b51960", + "id": "9f69015f", "metadata": { "lines_to_next_cell": 0, "papermill": { - "duration": 0.0011, - "end_time": "2024-09-10T13:51:18.698477", + "duration": 0.001072, + "end_time": "2024-09-10T14:14:49.674949", "exception": false, - "start_time": "2024-09-10T13:51:18.697377", + "start_time": "2024-09-10T14:14:49.673877", "status": "completed" }, "tags": [] @@ -189,19 +189,19 @@ { "cell_type": "code", "execution_count": 5, - "id": "3a8f41c4", + "id": "c2843145", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:51:18.701356Z", - "iopub.status.busy": "2024-09-10T13:51:18.701219Z", - "iopub.status.idle": "2024-09-10T13:51:18.705286Z", - "shell.execute_reply": "2024-09-10T13:51:18.704808Z" + "iopub.execute_input": "2024-09-10T14:14:49.677708Z", + "iopub.status.busy": "2024-09-10T14:14:49.677579Z", + "iopub.status.idle": "2024-09-10T14:14:49.681545Z", + "shell.execute_reply": "2024-09-10T14:14:49.681171Z" }, "papermill": { - "duration": 0.007009, - "end_time": "2024-09-10T13:51:18.706610", + "duration": 0.006891, + "end_time": "2024-09-10T14:14:49.682856", "exception": false, - "start_time": "2024-09-10T13:51:18.699601", + "start_time": "2024-09-10T14:14:49.675965", "status": "completed" }, "tags": [] @@ -337,13 +337,13 @@ }, { "cell_type": "markdown", - "id": "f7e4ebe4", + "id": "2a2f8054", "metadata": { "papermill": { - "duration": 0.001195, - "end_time": "2024-09-10T13:51:18.709039", + "duration": 0.0012, + "end_time": "2024-09-10T14:14:49.685353", "exception": false, - "start_time": "2024-09-10T13:51:18.707844", + "start_time": "2024-09-10T14:14:49.684153", "status": "completed" }, "tags": [] @@ -359,19 +359,19 @@ { "cell_type": "code", "execution_count": 6, - "id": "79d049f9", + "id": "1f7c5685", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:51:18.712121Z", - "iopub.status.busy": "2024-09-10T13:51:18.711979Z", - "iopub.status.idle": "2024-09-10T13:51:18.817591Z", - "shell.execute_reply": "2024-09-10T13:51:18.817184Z" + "iopub.execute_input": "2024-09-10T14:14:49.688256Z", + "iopub.status.busy": "2024-09-10T14:14:49.688115Z", + "iopub.status.idle": "2024-09-10T14:14:49.795163Z", + "shell.execute_reply": "2024-09-10T14:14:49.794754Z" }, "papermill": { - "duration": 0.108826, - "end_time": "2024-09-10T13:51:18.818986", + "duration": 0.109919, + "end_time": "2024-09-10T14:14:49.796402", "exception": false, - "start_time": "2024-09-10T13:51:18.710160", + "start_time": "2024-09-10T14:14:49.686483", "status": "completed" }, "tags": [ @@ -404,14 +404,14 @@ }, { "cell_type": "markdown", - "id": "0a7e21fb", + "id": "2346f61d", "metadata": { "lines_to_next_cell": 0, "papermill": { - "duration": 0.001542, - "end_time": "2024-09-10T13:51:18.822272", + "duration": 0.001521, + "end_time": "2024-09-10T14:14:49.799709", "exception": false, - "start_time": "2024-09-10T13:51:18.820730", + "start_time": "2024-09-10T14:14:49.798188", "status": "completed" }, "tags": [] @@ -426,19 +426,19 @@ { "cell_type": "code", "execution_count": 7, - "id": "f57b49a2", + "id": "457f620b", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:51:18.825915Z", - "iopub.status.busy": "2024-09-10T13:51:18.825774Z", - "iopub.status.idle": "2024-09-10T13:51:18.974254Z", - "shell.execute_reply": "2024-09-10T13:51:18.973945Z" + "iopub.execute_input": "2024-09-10T14:14:49.803421Z", + "iopub.status.busy": "2024-09-10T14:14:49.803274Z", + "iopub.status.idle": "2024-09-10T14:14:49.951990Z", + "shell.execute_reply": "2024-09-10T14:14:49.951671Z" }, "papermill": { - "duration": 0.152018, - "end_time": "2024-09-10T13:51:18.975735", + "duration": 0.152366, + "end_time": "2024-09-10T14:14:49.953519", "exception": false, - "start_time": "2024-09-10T13:51:18.823717", + "start_time": "2024-09-10T14:14:49.801153", "status": "completed" }, "tags": [] @@ -470,13 +470,13 @@ }, { "cell_type": "markdown", - "id": "59dc0e27", + "id": "c117cac2", "metadata": { "papermill": { - "duration": 0.00174, - "end_time": "2024-09-10T13:51:18.979421", + "duration": 0.001712, + "end_time": "2024-09-10T14:14:49.957709", "exception": false, - "start_time": "2024-09-10T13:51:18.977681", + "start_time": "2024-09-10T14:14:49.955997", "status": "completed" }, "tags": [] @@ -491,19 +491,19 @@ { "cell_type": "code", "execution_count": 8, - "id": "9e098511", + "id": "ebf16788", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:51:18.983821Z", - "iopub.status.busy": "2024-09-10T13:51:18.983668Z", - "iopub.status.idle": "2024-09-10T13:51:19.071327Z", - "shell.execute_reply": "2024-09-10T13:51:19.070948Z" + "iopub.execute_input": "2024-09-10T14:14:49.962026Z", + "iopub.status.busy": "2024-09-10T14:14:49.961884Z", + "iopub.status.idle": "2024-09-10T14:14:50.053260Z", + "shell.execute_reply": "2024-09-10T14:14:50.052835Z" }, "papermill": { - "duration": 0.091411, - "end_time": "2024-09-10T13:51:19.072554", + "duration": 0.095167, + "end_time": "2024-09-10T14:14:50.054598", "exception": false, - "start_time": "2024-09-10T13:51:18.981143", + "start_time": "2024-09-10T14:14:49.959431", "status": "completed" }, "tags": [] @@ -556,8 +556,8 @@ }, "papermill": { "default_parameters": {}, - "duration": 2.790957, - "end_time": "2024-09-10T13:51:19.406804", + "duration": 2.825836, + "end_time": "2024-09-10T14:14:50.385652", "environment_variables": {}, "exception": null, "input_path": "Sin.ipynb", @@ -569,7 +569,7 @@ "x_scale": "linear", "y_scale": "linear" }, - "start_time": "2024-09-10T13:51:16.615847", + "start_time": "2024-09-10T14:14:47.559816", "version": "2.6.0" } }, diff --git a/notebooks/SmoothlyBrokenPowerLaw.ipynb b/notebooks/SmoothlyBrokenPowerLaw.ipynb index 3b42ef0d..6647347d 100644 --- a/notebooks/SmoothlyBrokenPowerLaw.ipynb +++ b/notebooks/SmoothlyBrokenPowerLaw.ipynb @@ -2,13 +2,13 @@ "cells": [ { "cell_type": "markdown", - "id": "bc8fc267", + "id": "6155b8ae", "metadata": { "papermill": { - "duration": 0.009834, - "end_time": "2024-09-10T13:52:29.780676", + "duration": 0.008175, + "end_time": "2024-09-10T14:16:02.744439", "exception": false, - "start_time": "2024-09-10T13:52:29.770842", + "start_time": "2024-09-10T14:16:02.736264", "status": "completed" }, "tags": [] @@ -20,20 +20,20 @@ { "cell_type": "code", "execution_count": 1, - "id": "74fce0d1", + "id": "8a4a04b4", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:52:29.797032Z", - "iopub.status.busy": "2024-09-10T13:52:29.796315Z", - "iopub.status.idle": "2024-09-10T13:52:31.212134Z", - "shell.execute_reply": "2024-09-10T13:52:31.211670Z" + "iopub.execute_input": "2024-09-10T14:16:02.757117Z", + 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a/notebooks/StepFunction.ipynb +++ b/notebooks/StepFunction.ipynb @@ -2,13 +2,13 @@ "cells": [ { "cell_type": "markdown", - "id": "2dc0038c", + "id": "ae7b882f", "metadata": { "papermill": { - "duration": 0.011772, - "end_time": "2024-09-10T13:51:11.742157", + "duration": 0.004722, + "end_time": "2024-09-10T14:14:42.171257", "exception": false, - "start_time": "2024-09-10T13:51:11.730385", + "start_time": "2024-09-10T14:14:42.166535", "status": "completed" }, "tags": [] @@ -20,20 +20,20 @@ { "cell_type": "code", "execution_count": 1, - "id": "b3e12bfc", + "id": "d1a3d7fb", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:51:11.754848Z", - "iopub.status.busy": "2024-09-10T13:51:11.754326Z", - "iopub.status.idle": "2024-09-10T13:51:13.164572Z", - "shell.execute_reply": "2024-09-10T13:51:13.164101Z" + "iopub.execute_input": "2024-09-10T14:14:42.184694Z", + "iopub.status.busy": "2024-09-10T14:14:42.183982Z", + "iopub.status.idle": "2024-09-10T14:14:43.685296Z", + 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b/notebooks/StepFunctionUpper.ipynb @@ -2,13 +2,13 @@ "cells": [ { "cell_type": "markdown", - "id": "6ddf0300", + "id": "90c70c04", "metadata": { "papermill": { - "duration": 0.009643, - "end_time": "2024-09-10T13:51:14.450963", + "duration": 0.010096, + "end_time": "2024-09-10T14:14:45.164285", "exception": false, - "start_time": "2024-09-10T13:51:14.441320", + "start_time": "2024-09-10T14:14:45.154189", "status": "completed" }, "tags": [] @@ -20,20 +20,20 @@ { "cell_type": "code", "execution_count": 1, - "id": "04837fc3", + "id": "b88df360", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:51:14.464394Z", - "iopub.status.busy": "2024-09-10T13:51:14.463446Z", - "iopub.status.idle": "2024-09-10T13:51:15.869777Z", - "shell.execute_reply": "2024-09-10T13:51:15.869280Z" + "iopub.execute_input": "2024-09-10T14:14:45.177814Z", + "iopub.status.busy": "2024-09-10T14:14:45.177126Z", + "iopub.status.idle": "2024-09-10T14:14:46.781219Z", + "shell.execute_reply": 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+472,13 @@ }, { "cell_type": "markdown", - "id": "61c9b712", + "id": "e80b6ad7", "metadata": { "papermill": { - "duration": 0.001587, - "end_time": "2024-09-10T13:51:16.172366", + "duration": 0.001769, + "end_time": "2024-09-10T14:14:47.116126", "exception": false, - "start_time": "2024-09-10T13:51:16.170779", + "start_time": "2024-09-10T14:14:47.114357", "status": "completed" }, "tags": [] @@ -493,19 +493,19 @@ { "cell_type": "code", "execution_count": 8, - "id": "a02a1e05", + "id": "115bf4e3", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:51:16.176261Z", - "iopub.status.busy": "2024-09-10T13:51:16.176123Z", - "iopub.status.idle": "2024-09-10T13:51:16.266949Z", - "shell.execute_reply": "2024-09-10T13:51:16.266497Z" + "iopub.execute_input": "2024-09-10T14:14:47.121236Z", + "iopub.status.busy": "2024-09-10T14:14:47.121038Z", + "iopub.status.idle": "2024-09-10T14:14:47.217968Z", + "shell.execute_reply": "2024-09-10T14:14:47.216808Z" }, "papermill": { - "duration": 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"tags": [ @@ -95,19 +95,19 @@ { "cell_type": "code", "execution_count": 3, - "id": "90b55837", + "id": "45ecebc9", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:51:34.122185Z", - "iopub.status.busy": "2024-09-10T13:51:34.122033Z", - "iopub.status.idle": "2024-09-10T13:51:34.130130Z", - "shell.execute_reply": "2024-09-10T13:51:34.129717Z" + "iopub.execute_input": "2024-09-10T14:15:05.662989Z", + "iopub.status.busy": "2024-09-10T14:15:05.662846Z", + "iopub.status.idle": "2024-09-10T14:15:05.670331Z", + "shell.execute_reply": "2024-09-10T14:15:05.669958Z" }, "papermill": { - "duration": 0.011112, - "end_time": "2024-09-10T13:51:34.131539", + "duration": 0.010269, + "end_time": "2024-09-10T14:15:05.671577", "exception": false, - "start_time": "2024-09-10T13:51:34.120427", + "start_time": "2024-09-10T14:15:05.661308", "status": "completed" }, "tags": [ @@ -127,21 +127,21 @@ { "cell_type": "code", "execution_count": 4, - "id": "de9a2afc", + "id": "78734628", 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[] @@ -551,8 +551,8 @@ }, "papermill": { "default_parameters": {}, - "duration": 3.914326, - "end_time": "2024-09-10T13:51:35.908728", + "duration": 3.894562, + "end_time": "2024-09-10T14:15:07.465442", "environment_variables": {}, "exception": null, "input_path": "TbAbs.ipynb", @@ -564,7 +564,7 @@ "x_scale": "log", "y_scale": "log" }, - "start_time": "2024-09-10T13:51:31.994402", + "start_time": "2024-09-10T14:15:03.570880", "version": "2.6.0" } }, diff --git a/notebooks/Truncated_gaussian.ipynb b/notebooks/Truncated_gaussian.ipynb index 56402c13..769f872b 100644 --- a/notebooks/Truncated_gaussian.ipynb +++ b/notebooks/Truncated_gaussian.ipynb @@ -2,13 +2,13 @@ "cells": [ { "cell_type": "markdown", - "id": "4d10049d", + "id": "5cbabbb4", "metadata": { "papermill": { - "duration": 0.007682, - "end_time": "2024-09-10T13:53:16.399503", + "duration": 0.010726, + "end_time": "2024-09-10T14:16:58.265047", "exception": false, - "start_time": "2024-09-10T13:53:16.391821", + "start_time": 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", 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"text/plain": [ "
" ] @@ -570,8 +570,8 @@ }, "papermill": { "default_parameters": {}, - "duration": 2.590468, - "end_time": "2024-09-10T13:53:18.455133", + "duration": 2.959618, + "end_time": "2024-09-10T14:17:00.444030", "environment_variables": {}, "exception": null, "input_path": "Truncated_gaussian.ipynb", @@ -580,7 +580,7 @@ "func_name": "Truncated_gaussian", "positive_prior": false }, - "start_time": "2024-09-10T13:53:15.864665", + "start_time": "2024-09-10T14:16:57.484412", "version": "2.6.0" } }, diff --git a/notebooks/Uniform_prior.ipynb b/notebooks/Uniform_prior.ipynb index db23c32d..ccbb47c6 100644 --- a/notebooks/Uniform_prior.ipynb +++ b/notebooks/Uniform_prior.ipynb @@ -2,13 +2,13 @@ "cells": [ { "cell_type": "markdown", - "id": "9696e1e5", + "id": "800a47a4", "metadata": { "papermill": { - "duration": 0.007515, - "end_time": "2024-09-10T13:53:27.399262", + "duration": 0.007154, + "end_time": "2024-09-10T14:17:09.822163", "exception": false, - "start_time": "2024-09-10T13:53:27.391747", + "start_time": "2024-09-10T14:17:09.815009", "status": "completed" }, "tags": [] @@ -20,20 +20,20 @@ { "cell_type": "code", "execution_count": 1, - "id": "d8eee616", + "id": "b70bfe23", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:53:27.412191Z", - "iopub.status.busy": "2024-09-10T13:53:27.411097Z", - "iopub.status.idle": "2024-09-10T13:53:28.822843Z", - "shell.execute_reply": "2024-09-10T13:53:28.822331Z" + "iopub.execute_input": "2024-09-10T14:17:09.834832Z", + "iopub.status.busy": "2024-09-10T14:17:09.834305Z", + "iopub.status.idle": "2024-09-10T14:17:11.493613Z", + "shell.execute_reply": "2024-09-10T14:17:11.492970Z" }, "nbsphinx": "hidden", "papermill": { - "duration": 1.419777, - "end_time": "2024-09-10T13:53:28.824394", + "duration": 1.667344, + "end_time": "2024-09-10T14:17:11.495590", "exception": false, - "start_time": "2024-09-10T13:53:27.404617", + "start_time": "2024-09-10T14:17:09.828246", "status": "completed" }, "tags": [] @@ -60,20 +60,20 @@ { 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", 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", "text/plain": [ "
" ] @@ -506,8 +506,8 @@ }, "papermill": { "default_parameters": {}, - "duration": 2.754239, - "end_time": "2024-09-10T13:53:29.423075", + "duration": 3.159523, + "end_time": "2024-09-10T14:17:12.231891", "environment_variables": {}, "exception": null, "input_path": "Uniform_prior.ipynb", @@ -516,7 +516,7 @@ "func_name": "Uniform_prior", "positive_prior": false }, - "start_time": "2024-09-10T13:53:26.668836", + "start_time": "2024-09-10T14:17:09.072368", "version": "2.6.0" } }, diff --git a/notebooks/WAbs.ipynb b/notebooks/WAbs.ipynb index f8e54c6f..492f5a8b 100644 --- a/notebooks/WAbs.ipynb +++ b/notebooks/WAbs.ipynb @@ -2,13 +2,13 @@ "cells": [ { "cell_type": "markdown", - "id": "0bf64bc5", + "id": "34e925e1", "metadata": { "papermill": { - "duration": 0.008249, - "end_time": "2024-09-10T13:51:36.441770", + "duration": 0.018179, + "end_time": "2024-09-10T14:15:08.288743", "exception": false, - "start_time": "2024-09-10T13:51:36.433521", + "start_time": "2024-09-10T14:15:08.270564", "status": "completed" }, "tags": [] @@ -20,20 +20,20 @@ { "cell_type": "code", "execution_count": 1, - "id": "bcac21e8", + "id": "acf54a70", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:51:36.457851Z", - "iopub.status.busy": "2024-09-10T13:51:36.457540Z", - "iopub.status.idle": "2024-09-10T13:51:37.993299Z", - "shell.execute_reply": "2024-09-10T13:51:37.992425Z" + "iopub.execute_input": "2024-09-10T14:15:08.292863Z", + "iopub.status.busy": "2024-09-10T14:15:08.292616Z", + "iopub.status.idle": "2024-09-10T14:15:09.858618Z", + "shell.execute_reply": "2024-09-10T14:15:09.857976Z" }, "nbsphinx": "hidden", "papermill": { - "duration": 1.547081, - "end_time": "2024-09-10T13:51:37.995086", + "duration": 1.570044, + "end_time": "2024-09-10T14:15:09.860379", "exception": false, - "start_time": "2024-09-10T13:51:36.448005", + "start_time": "2024-09-10T14:15:08.290335", "status": "completed" }, "tags": [] @@ -60,20 +60,20 @@ { "cell_type": "code", "execution_count": 2, - "id": "b9c868b3", + "id": "a431feec", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:51:37.999686Z", - "iopub.status.busy": "2024-09-10T13:51:37.999255Z", - "iopub.status.idle": "2024-09-10T13:51:38.002199Z", - "shell.execute_reply": "2024-09-10T13:51:38.001728Z" + "iopub.execute_input": "2024-09-10T14:15:09.864135Z", + "iopub.status.busy": "2024-09-10T14:15:09.863758Z", + "iopub.status.idle": "2024-09-10T14:15:09.866601Z", + "shell.execute_reply": "2024-09-10T14:15:09.866009Z" }, "nbsphinx": "hidden", "papermill": { - "duration": 0.007197, - "end_time": "2024-09-10T13:51:38.003877", + "duration": 0.006193, + "end_time": "2024-09-10T14:15:09.867995", "exception": false, - "start_time": "2024-09-10T13:51:37.996680", + "start_time": "2024-09-10T14:15:09.861802", "status": "completed" }, "tags": [ @@ -95,19 +95,19 @@ { "cell_type": "code", "execution_count": 3, - "id": "558e21ed", + "id": "45208bf7", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:51:38.007604Z", - "iopub.status.busy": "2024-09-10T13:51:38.007394Z", - "iopub.status.idle": "2024-09-10T13:51:38.010091Z", - "shell.execute_reply": "2024-09-10T13:51:38.009590Z" + "iopub.execute_input": "2024-09-10T14:15:09.871152Z", + "iopub.status.busy": "2024-09-10T14:15:09.870992Z", + "iopub.status.idle": "2024-09-10T14:15:09.879459Z", + "shell.execute_reply": "2024-09-10T14:15:09.878832Z" }, "papermill": { - "duration": 0.006231, - "end_time": "2024-09-10T13:51:38.011551", + "duration": 0.011888, + "end_time": "2024-09-10T14:15:09.881125", "exception": false, - "start_time": "2024-09-10T13:51:38.005320", + "start_time": "2024-09-10T14:15:09.869237", "status": "completed" }, "tags": [ @@ -127,21 +127,21 @@ { "cell_type": "code", "execution_count": 4, - "id": "2bd074b1", + "id": "942fef07", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:51:38.015213Z", - "iopub.status.busy": "2024-09-10T13:51:38.015029Z", - "iopub.status.idle": 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4.365715, + "end_time": "2024-09-10T14:15:11.850801", "environment_variables": {}, "exception": null, "input_path": "WAbs.ipynb", @@ -538,7 +538,7 @@ "x_scale": "log", "y_scale": "log" }, - "start_time": "2024-09-10T13:51:35.932285", + "start_time": "2024-09-10T14:15:07.485086", "version": "2.6.0" } }, diff --git a/notebooks/ZDust.ipynb b/notebooks/ZDust.ipynb index 47bf9c16..c6bd616c 100644 --- a/notebooks/ZDust.ipynb +++ b/notebooks/ZDust.ipynb @@ -2,13 +2,13 @@ "cells": [ { "cell_type": "markdown", - "id": "61192159", + "id": "2ba41662", "metadata": { "papermill": { - "duration": 0.004585, - "end_time": "2024-09-10T13:51:44.433194", + "duration": 0.008597, + "end_time": "2024-09-10T14:15:16.405577", "exception": false, - "start_time": "2024-09-10T13:51:44.428609", + "start_time": "2024-09-10T14:15:16.396980", "status": "completed" }, "tags": [] @@ -20,20 +20,20 @@ { "cell_type": "code", "execution_count": 1, - "id": "87379d04", + "id": "2ae50303", "metadata": { "execution": { - 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"2024-09-10T13:51:45.965846", + "duration": 0.001206, + "end_time": "2024-09-10T14:15:17.981225", "exception": false, - "start_time": "2024-09-10T13:51:45.964561", + "start_time": "2024-09-10T14:15:17.980019", "status": "completed" }, "tags": [] @@ -397,19 +397,19 @@ { "cell_type": "code", "execution_count": 6, - "id": "a1217393", + "id": "d6b19735", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:51:45.968791Z", - "iopub.status.busy": "2024-09-10T13:51:45.968658Z", - "iopub.status.idle": "2024-09-10T13:51:46.752156Z", - "shell.execute_reply": "2024-09-10T13:51:46.751693Z" + "iopub.execute_input": "2024-09-10T14:15:17.984351Z", + "iopub.status.busy": "2024-09-10T14:15:17.984197Z", + "iopub.status.idle": "2024-09-10T14:15:18.774032Z", + "shell.execute_reply": "2024-09-10T14:15:18.773598Z" }, "papermill": { - "duration": 0.786471, - "end_time": "2024-09-10T13:51:46.753486", + "duration": 0.792967, + "end_time": "2024-09-10T14:15:18.775428", "exception": false, - "start_time": "2024-09-10T13:51:45.967015", + "start_time": "2024-09-10T14:15:17.982461", "status": "completed" }, "tags": [ @@ -442,14 +442,14 @@ }, { "cell_type": "markdown", - "id": "8bf0334f", + "id": "27de70f9", "metadata": { "lines_to_next_cell": 0, "papermill": { - "duration": 0.001402, - "end_time": "2024-09-10T13:51:46.756584", + "duration": 0.001393, + "end_time": "2024-09-10T14:15:18.778559", "exception": false, - "start_time": "2024-09-10T13:51:46.755182", + "start_time": "2024-09-10T14:15:18.777166", "status": "completed" }, "tags": [] @@ -464,19 +464,19 @@ { "cell_type": "code", "execution_count": 7, - "id": "7d187198", + "id": "22e2490c", "metadata": { "execution": { - "iopub.execute_input": "2024-09-10T13:51:46.760047Z", - "iopub.status.busy": "2024-09-10T13:51:46.759886Z", - "iopub.status.idle": "2024-09-10T13:51:46.946503Z", - "shell.execute_reply": "2024-09-10T13:51:46.946144Z" + "iopub.execute_input": "2024-09-10T14:15:18.781919Z", + "iopub.status.busy": "2024-09-10T14:15:18.781760Z", + "iopub.status.idle": "2024-09-10T14:15:18.967462Z", + "shell.execute_reply": "2024-09-10T14:15:18.967122Z" }, "papermill": { - "duration": 0.190067, - "end_time": "2024-09-10T13:51:46.947958", + "duration": 0.189021, + "end_time": "2024-09-10T14:15:18.968885", "exception": false, - "start_time": "2024-09-10T13:51:46.757891", + "start_time": "2024-09-10T14:15:18.779864", "status": "completed" }, "tags": [] @@ -508,13 +508,13 @@ }, { "cell_type": "markdown", - "id": "3dd0873e", + "id": "15bf5e42", "metadata": { "papermill": { - "duration": 0.001748, - "end_time": "2024-09-10T13:51:46.951640", + "duration": 0.001734, + "end_time": "2024-09-10T14:15:18.972521", "exception": false, - "start_time": "2024-09-10T13:51:46.949892", + "start_time": "2024-09-10T14:15:18.970787", "status": "completed" }, "tags": [] @@ -529,19 +529,19 @@ { "cell_type": "code", "execution_count": 8, - "id": "d2779b49", + "id": "62bb4613", "metadata": { "execution": { - 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1, 41, 123, 124, 132], "log": [0, 1, 9, 19, 23, 28, 34, 41, 43, 64, 65, 66, 68, 69, 71, 75, 76, 77, 78, 81, 82, 85, 91, 98, 100, 101, 102, 105, 106, 108, 114, 117, 118, 121, 122, 123, 124, 125, 126, 128, 132, 134], "long_path_formatt": [0, 1, 41, 123, 124, 132], "pretty_list": [0, 1, 41, 123, 124, 132], "tabl": [0, 1, 19, 21, 23, 24, 27, 35, 41, 77, 78, 87, 102, 118, 122, 123, 124, 126, 127, 128, 132, 134], "valid_vari": [0, 1, 41, 123, 124, 132], "vincenti": [0, 1, 41, 123, 124, 132], "xspec": [0, 1, 19, 22, 27, 34, 61, 123, 124, 126, 128, 132, 134], "factori": [0, 1, 8, 43, 55, 123, 124, 125, 130, 132], "xspec_set": [0, 1, 55, 123, 124, 132], "A": [4, 5, 9, 14, 15, 19, 22, 23, 26, 27, 28, 29, 30, 31, 34, 35, 36, 37, 38, 39, 62, 63, 67, 68, 69, 73, 74, 75, 76, 80, 81, 86, 87, 88, 89, 90, 92, 93, 94, 95, 96, 97, 98, 99, 103, 104, 105, 106, 108, 109, 110, 111, 113, 114, 115, 116, 117, 119, 120, 122, 125, 126, 128, 129, 134], "decor": [4, 9, 125], "which": [4, 5, 9, 14, 19, 22, 23, 27, 28, 30, 31, 34, 35, 36, 38, 42, 50, 54, 61, 62, 65, 73, 79, 86, 87, 96, 97, 99, 103, 104, 108, 109, 115, 116, 120, 122, 125, 126, 128, 129, 130, 133], "result": [4, 19, 34, 86, 87, 119, 125, 126], "last": [4, 50, 125, 130], "_cache_s": [4, 125], "call": [4, 5, 9, 19, 22, 35, 36, 39, 61, 62, 71, 87, 97, 125, 126, 129], "return": [4, 5, 6, 9, 10, 12, 14, 15, 17, 19, 22, 23, 24, 28, 29, 30, 31, 32, 34, 35, 36, 37, 38, 39, 40, 42, 49, 50, 51, 52, 53, 54, 62, 72, 79, 86, 87, 95, 103, 125, 126, 128, 129, 130], "use_astromodels_memo": [4, 125], "switch": [4, 87, 125], "cache_s": [4, 125], "20": [4, 19, 23, 28, 30, 31, 32, 34, 43, 63, 65, 71, 77, 78, 80, 83, 86, 87, 90, 96, 97, 100, 101, 104, 109, 125, 126, 128, 130], "activ": [4, 125], "deactiv": [4, 9, 125], "temporarili": [4, 9, 49, 125, 130], "true": [4, 5, 9, 16, 19, 22, 23, 24, 26, 27, 28, 30, 31, 34, 35, 36, 37, 39, 43, 51, 52, 53, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 125, 126, 128, 129, 130], "fals": [4, 5, 6, 9, 10, 12, 14, 16, 17, 19, 22, 23, 24, 27, 28, 31, 32, 34, 35, 36, 37, 39, 43, 51, 52, 53, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 125, 126, 128, 129, 130], "off": [4, 43, 71, 97, 125, 130], "number": [4, 5, 9, 22, 61, 62, 87, 97, 103, 125, 126], "previou": [4, 19, 61, 97, 125, 126], "evalu": [4, 5, 19, 21, 22, 23, 24, 26, 27, 28, 29, 30, 31, 32, 34, 35, 61, 71, 77, 78, 97, 112, 125, 126, 127, 128], "keep": [4, 19, 22, 23, 28, 87, 95, 125, 126, 128], "memori": [4, 19, 35, 125, 126], "default": [4, 5, 9, 19, 22, 31, 32, 36, 39, 71, 87, 103, 109, 125, 126, 129, 134], "100": [4, 19, 23, 26, 28, 30, 32, 34, 62, 64, 66, 81, 85, 86, 87, 96, 97, 100, 101, 103, 106, 108, 109, 112, 114, 125, 126, 128], "except": [5, 6, 9, 12, 14, 17, 18, 19, 22, 24, 28, 35, 40, 87, 103, 125, 126, 128, 129], "cannotwritemodel": [5, 125], "directori": [5, 125], "messag": [5, 49, 71, 125, 130], "base": [5, 6, 8, 9, 10, 11, 12, 14, 15, 16, 17, 18, 19, 21, 22, 23, 24, 26, 27, 28, 29, 30, 31, 32, 34, 35, 36, 37, 38, 39, 40, 43, 49, 52, 61, 77, 78, 82, 87, 95, 125, 126, 127, 128, 129, 130], "oserror": [5, 6, 125], "invalidinput": [5, 125], "valueerror": [5, 14, 16, 22, 35, 125, 126], "node": [5, 7, 9, 11, 12, 14, 15, 17, 22, 36, 37, 38, 39, 103, 125, 126, 129], "add_external_paramet": [5, 125], "none": [5, 6, 8, 9, 11, 12, 14, 15, 17, 19, 22, 23, 30, 31, 32, 35, 36, 37, 38, 39, 40, 44, 52, 64, 65, 66, 67, 68, 69, 70, 72, 73, 74, 75, 76, 77, 78, 79, 81, 82, 84, 85, 86, 87, 88, 89, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 103, 104, 105, 106, 107, 108, 109, 110, 111, 113, 114, 115, 116, 117, 119, 120, 122, 125, 126, 128, 129, 130], "add": [5, 9, 62, 87, 97, 125], "come": [5, 99, 125], "from": [5, 6, 9, 19, 21, 22, 23, 24, 27, 30, 31, 32, 34, 36, 39, 54, 61, 62, 64, 65, 66, 67, 70, 71, 73, 78, 84, 86, 87, 88, 89, 94, 96, 99, 103, 107, 109, 112, 119, 120, 122, 125, 126, 127, 128, 129, 130], "someth": [5, 125], "other": [5, 19, 22, 23, 28, 61, 86, 95, 103, 125, 126, 128], "than": [5, 9, 19, 23, 28, 30, 50, 61, 62, 65, 71, 86, 87, 95, 125, 126, 128, 130], "instanc": [5, 6, 9, 10, 14, 15, 19, 22, 36, 37, 38, 39, 52, 61, 62, 86, 99, 103, 125, 126, 129, 130], "add_independent_vari": [5, 97, 125], "variabl": [5, 9, 19, 22, 35, 53, 61, 71, 87, 99, 125, 126, 130, 134], "independentvari": [5, 9, 97, 125], "global": [5, 97, 125], "independ": [5, 9, 19, 22, 35, 61, 87, 99, 103, 125, 126], "thi": [5, 6, 8, 9, 12, 14, 19, 21, 22, 23, 27, 28, 30, 31, 32, 34, 35, 36, 37, 38, 39, 40, 42, 50, 52, 54, 61, 62, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 81, 82, 84, 85, 86, 87, 88, 89, 91, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 125, 126, 127, 128, 129, 130], "time": [5, 9, 19, 32, 61, 86, 87, 103, 125, 126], "an": [5, 6, 9, 10, 12, 14, 19, 22, 23, 27, 28, 30, 31, 32, 34, 36, 39, 40, 43, 54, 61, 71, 75, 76, 83, 84, 85, 86, 97, 99, 103, 107, 112, 122, 125, 126, 128, 129, 130, 134], "add_sourc": [5, 125], "new_sourc": [5, 125], "union": [5, 125], "pointsourc": [5, 36, 39, 87, 97, 99, 103, 109, 112, 125, 129], "extendedsourc": [5, 36, 37, 86, 125, 129], "particlesourc": [5, 36, 38, 125, 129], "provid": [5, 9, 10, 19, 21, 22, 35, 44, 53, 78, 86, 87, 103, 125, 126, 127, 130], "new": [5, 9, 19, 22, 31, 32, 54, 87, 125, 126, 130, 134], "ad": [5, 87, 97, 125, 134], "displai": [5, 16, 17, 44, 63, 64, 65, 66, 67, 68, 69, 70, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 125, 130, 133], "complet": [5, 62, 97, 125], "bool": [5, 8, 9, 12, 17, 19, 22, 35, 36, 39, 40, 43, 125, 126, 129, 130], "inform": [5, 17, 19, 32, 61, 86, 125, 126], "about": [5, 9, 17, 54, 62, 86, 125, 130], "point": [5, 9, 17, 19, 23, 30, 35, 36, 39, 40, 42, 54, 61, 69, 86, 87, 97, 99, 109, 112, 125, 126, 128, 129, 130], "param": [5, 9, 22, 36, 37, 54, 103, 125, 126, 129, 130], "also": [5, 19, 22, 42, 61, 62, 71, 86, 87, 97, 103, 125, 126, 130], "fix": [5, 9, 14, 19, 21, 22, 23, 24, 26, 27, 28, 30, 31, 32, 34, 35, 36, 39, 61, 70, 87, 89, 94, 95, 97, 103, 119, 125, 126, 127, 128, 129, 134], "dict": [5, 6, 8, 9, 12, 17, 19, 22, 32, 35, 36, 39, 40, 125, 126, 129], "str": [5, 6, 8, 9, 12, 17, 19, 22, 24, 32, 35, 36, 39, 40, 43, 44, 49, 125, 126, 128, 129, 130], "dictionari": [5, 14, 22, 36, 37, 38, 39, 40, 51, 52, 61, 87, 97, 125, 126, 129, 130], "defin": [5, 9, 19, 23, 30, 32, 34, 35, 42, 61, 65, 87, 106, 109, 112, 119, 125, 126, 128, 130], "extend": [5, 36, 37, 40, 61, 97, 99, 125, 129], "collect": [5, 125], "ordereddict": [5, 125], "free_paramet": [5, 22, 36, 37, 38, 39, 40, 97, 103, 125, 126, 129], "get": [5, 9, 12, 14, 19, 23, 28, 29, 36, 38, 61, 86, 109, 112, 125, 126, 128, 129], "free": [5, 9, 14, 19, 22, 23, 30, 36, 37, 38, 39, 40, 62, 63, 64, 65, 66, 67, 68, 69, 70, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 125, 126, 128, 129], "get_extended_source_boundari": [5, 125], "id": [5, 22, 62, 125, 126], "int": [5, 9, 19, 22, 23, 29, 35, 125, 126, 128], "get_extended_source_flux": [5, 125], "j2000_ra": [5, 125], "float": [5, 9, 19, 23, 27, 35, 36, 37, 39, 42, 54, 87, 97, 99, 103, 122, 125, 126, 128, 129, 130], "j2000_dec": [5, 125], "energi": [5, 9, 19, 22, 23, 26, 27, 28, 30, 32, 33, 35, 36, 37, 38, 61, 62, 64, 65, 66, 68, 69, 72, 74, 75, 76, 77, 78, 79, 81, 82, 85, 87, 91, 93, 95, 97, 98, 100, 101, 102, 103, 105, 106, 108, 110, 111, 112, 113, 114, 115, 116, 117, 118, 121, 122, 125, 126, 128, 129, 134], "ndarrai": [5, 19, 22, 24, 35, 125, 126, 128], "flux": [5, 19, 23, 30, 32, 33, 35, 36, 37, 38, 62, 64, 65, 66, 68, 69, 72, 74, 75, 76, 77, 78, 79, 81, 82, 85, 86, 87, 91, 93, 95, 97, 98, 99, 100, 101, 102, 103, 105, 106, 110, 111, 112, 113, 114, 115, 116, 117, 118, 121, 122, 125, 126, 128, 129, 134], "th": [5, 125], "given": [5, 6, 9, 19, 21, 22, 36, 37, 38, 54, 62, 77, 78, 86, 125, 126, 127, 129, 130], "posit": [5, 9, 14, 19, 23, 28, 30, 36, 39, 61, 62, 65, 95, 97, 99, 125, 126, 128, 129], "r": [5, 14, 19, 23, 26, 62, 64, 65, 66, 68, 69, 72, 74, 75, 76, 77, 78, 79, 81, 82, 85, 86, 87, 91, 93, 95, 97, 98, 100, 101, 102, 103, 105, 106, 108, 109, 110, 111, 113, 114, 115, 116, 117, 118, 121, 122, 125, 126, 128], "where": [5, 9, 19, 23, 30, 61, 81, 87, 97, 106, 114, 125, 126, 128], "i": [5, 6, 8, 9, 11, 14, 16, 19, 21, 22, 23, 27, 28, 30, 31, 32, 34, 35, 36, 37, 38, 39, 42, 50, 53, 54, 61, 62, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 81, 82, 84, 85, 86, 87, 88, 89, 91, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 125, 126, 127, 128, 129, 130, 134], "desir": [5, 71, 125], "dec": [5, 14, 19, 31, 36, 39, 62, 63, 80, 83, 86, 87, 90, 92, 97, 99, 103, 104, 109, 112, 125, 126, 129], "arrai": [5, 19, 22, 23, 30, 31, 32, 35, 36, 37, 42, 81, 86, 90, 103, 112, 125, 126, 128, 129, 130], "get_extended_source_nam": [5, 125], "name": [5, 6, 8, 9, 10, 11, 12, 15, 16, 17, 19, 22, 24, 32, 35, 36, 37, 38, 39, 49, 52, 53, 62, 71, 86, 87, 97, 99, 103, 109, 125, 126, 128, 129, 130], "n": [5, 19, 23, 27, 30, 35, 63, 64, 67, 70, 73, 76, 84, 87, 88, 89, 94, 96, 97, 102, 107, 114, 118, 119, 120, 121, 122, 125, 126, 128], "integ": [5, 125], "get_number_of_extended_sourc": [5, 62, 125], "get_number_of_particle_sourc": [5, 125], "particl": [5, 19, 21, 23, 24, 36, 38, 40, 77, 78, 97, 102, 118, 121, 125, 126, 127, 128, 129], "get_number_of_point_sourc": [5, 62, 125], "get_particle_source_flux": [5, 125], "need": [5, 19, 22, 31, 32, 36, 38, 61, 62, 71, 86, 87, 97, 99, 125, 126, 129, 134], "get_particle_source_nam": [5, 125], "get_point_source_flux": [5, 62, 125], "tag": [5, 125], "stoke": [5, 125], "tupl": [5, 9, 19, 22, 31, 32, 36, 37, 125, 126, 129], "integr": [5, 19, 22, 23, 30, 31, 32, 34, 65, 70, 86, 87, 89, 94, 106, 108, 119, 125, 126, 128], "b": [5, 14, 19, 23, 27, 29, 30, 31, 32, 33, 34, 36, 39, 62, 65, 67, 69, 74, 81, 83, 86, 87, 91, 92, 93, 97, 103, 106, 107, 108, 110, 111, 119, 122, 125, 126, 128, 129], "specifi": [5, 9, 19, 22, 86, 87, 103, 125, 126], "perform": [5, 61, 71, 86, 125], "If": [5, 16, 19, 35, 42, 50, 62, 64, 65, 66, 67, 68, 69, 70, 72, 73, 74, 75, 76, 77, 78, 79, 81, 82, 84, 85, 86, 87, 88, 89, 91, 93, 94, 95, 96, 97, 98, 100, 101, 102, 103, 105, 106, 107, 108, 110, 111, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 125, 126, 130], "valu": [5, 9, 11, 12, 19, 21, 22, 23, 24, 26, 27, 28, 29, 30, 31, 32, 34, 35, 40, 43, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 125, 126, 127, 128, 129, 130], "averag": [5, 125], "comput": [5, 9, 19, 22, 23, 30, 42, 61, 65, 71, 86, 97, 108, 125, 126, 128, 130], "between": [5, 9, 19, 23, 30, 32, 34, 35, 42, 54, 61, 62, 65, 70, 81, 86, 87, 89, 94, 97, 106, 107, 108, 109, 112, 119, 125, 126, 128, 130], "over": [5, 19, 22, 31, 32, 36, 38, 62, 86, 97, 125, 126, 129], "divid": [5, 87, 125], "The": [5, 6, 9, 16, 19, 21, 22, 23, 27, 28, 30, 32, 34, 35, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 125, 126, 127, 128, 133], "must": [5, 9, 19, 22, 34, 86, 87, 96, 125, 126], "contain": [5, 6, 19, 22, 31, 32, 35, 61, 62, 86, 109, 125, 126], "instead": [5, 19, 23, 30, 62, 86, 87, 91, 99, 103, 112, 125, 126, 128, 134], "set": [5, 9, 12, 19, 22, 23, 24, 27, 28, 31, 32, 34, 42, 61, 71, 82, 86, 97, 103, 109, 112, 119, 122, 125, 126, 128, 130, 134], "q": [5, 11, 125], "u": [5, 11, 19, 31, 67, 70, 73, 84, 86, 87, 88, 89, 90, 94, 96, 97, 99, 103, 107, 119, 120, 125, 126], "v": [5, 11, 19, 23, 27, 87, 122, 125, 126, 128], "get_point_source_nam": [5, 62, 125], "get_point_source_posit": [5, 62, 125], "get_total_flux": [5, 125], "total": [5, 19, 21, 22, 23, 27, 31, 32, 36, 37, 38, 77, 78, 122, 125, 126, 127, 128, 129], "differenti": [5, 19, 23, 30, 36, 37, 62, 64, 66, 69, 75, 76, 81, 86, 87, 91, 97, 99, 103, 105, 112, 117, 125, 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of file
nameDescription
Asymm_Gaussian_on_sphereA bidimensional Gaussian function on a sphere (in spherical coordinates)\\nsee https://en.wikipedia.org/wiki/Gaussian_function#Two-dimensional_Gaussian_function
BandBand model from Band et al., 1993, parametrized with the peak energy