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VinhPhmCng committed Dec 13, 2023
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2 changes: 1 addition & 1 deletion .mapping.json
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{"source/main.ptx": ["linear-algebra-for-dummies"], "source/frontmatter.ptx": ["frontmatter"], "source/chapter01/ch-so-thuc-va-vector-cot.ptx": ["ch-so-thuc-va-vector-cot"], "source/chapter01/sec-so-thuc-va-cac-tinh-chat.ptx": ["sec-so-thuc-va-cac-tinh-chat"], "source/chapter01/sec-vector-cot.ptx": ["sec-vector-cot"], "source/chapter01/sec-khong-gian-vector.ptx": ["sec-khong-gian-vector", "kinematics", "example1"], "source/chapter02/ch-ma-tran.ptx": ["ch-ma-tran"], "source/chapter02/sec-ma-tran.ptx": ["sec-ma-tran"], "source/chapter02/sec-cac-ma-tran-co-so.ptx": ["sec-cac-ma-tran-co-so"], "source/chapter02/sec-cac-phep-bien-doi-hang.ptx": ["sec-cac-phep-bien-doi-hang"], "source/chapter02/sec-ma-tran-hoan-vi.ptx": ["sec-ma-tran-hoan-vi"], "source/chapter02/sec-ma-tran-bac-thang.ptx": ["sec-ma-tran-bac-thang"], "source/chapter02/sec-tru-cua-hang-va-hang-cua-ma-tran.ptx": ["sec-tru-cua-hang-va-hang-cua-ma-tran"], "source/chapter03/ch-cac-phep-toan-doi-voi-ma-tran.ptx": ["ch-cac-phep-toan-doi-voi-ma-tran"], "source/chapter03/sec-tong-cua-hai-ma-tran.ptx": ["sec-tong-cua-hai-ma-tran"], "source/chapter03/sec-nhan-ma-tran-voi-mot-so.ptx": ["sec-nhan-ma-tran-voi-mot-so"], "source/chapter03/sec-nhan-hai-ma-tran.ptx": ["sec-nhan-hai-ma-tran"], "source/chapter03/sec-ma-tran-khoi.ptx": ["sec-ma-tran-khoi"], "source/chapter03/sec-nhan-ma-tran-theo-khoi.ptx": ["sec-nhan-ma-tran-theo-khoi"], "source/chapter04/ch-dinh-thuc.ptx": ["ch-dinh-thuc"], "source/chapter04/sec-dinh-thuc.ptx": ["sec-dinh-thuc"], "source/chapter04/sec-ma-tran-con-va-phan-phu-dai-so.ptx": ["sec-ma-tran-con-va-phan-phu-dai-so"], "source/chapter04/sec-tinh-dinh-thuc.ptx": ["sec-tinh-dinh-thuc"], "source/chapter05/ch-giai-he-phuong-trinh-tuyen-tinh.ptx": ["ch-giai-he-phuong-trinh-tuyen-tinh"], "source/chapter05/sec-phuong-phap-khu-gauss.ptx": ["sec-phuong-phap-khu-gauss"], "source/chapter05/sec-phuong-phap-cramer-doi-voi-he-phuong-trinh-co-so-phuong-trinh-bang-so-an.ptx": ["sec-phuong-phap-cramer-doi-voi-he-phuong-trinh-co-so-phuong-trinh-bang-so-an"], "source/chapter05/sec-mot-so-ung-dung.ptx": ["sec-mot-so-ung-dung"], "source/chapter06/ch-phan-tich-ma-tran.ptx": ["ch-phan-tich-ma-tran"], "source/chapter06/sec-phan-tich-a-lu.ptx": ["sec-phan-tich-a-lu"], "source/chapter06/sec-phan-tich-a-cr.ptx": ["sec-phan-tich-a-cr"], "source/chapter06/sec-ma-tran-nghich-dao.ptx": ["sec-ma-tran-nghich-dao"], "source/chapter06/sec-ung-dung-de-giai-he-phuong-trinh-tuyen-tinh.ptx": ["sec-ung-dung-de-giai-he-phuong-trinh-tuyen-tinh"], "source/backmatter.ptx": ["backmatter"]}
{"source/main.ptx": ["linear-algebra-for-dummies"], "source/frontmatter.ptx": ["frontmatter"], "source/chapter01/ch-so-thuc-va-vector-cot.ptx": ["ch-so-thuc-va-vector-cot"], "source/chapter01/sec-so-thuc-va-cac-tinh-chat.ptx": ["sec-so-thuc-va-cac-tinh-chat"], "source/chapter01/sec-vector-cot.ptx": ["sec-vector-cot"], "source/chapter01/sec-khong-gian-vector.ptx": ["sec-khong-gian-vector", "kinematics"], "source/chapter02/ch-ma-tran.ptx": ["ch-ma-tran"], "source/chapter02/sec-ma-tran.ptx": ["sec-ma-tran"], "source/chapter02/sec-cac-ma-tran-co-so.ptx": ["sec-cac-ma-tran-co-so"], "source/chapter02/sec-cac-phep-bien-doi-hang.ptx": ["sec-cac-phep-bien-doi-hang"], "source/chapter02/sec-ma-tran-hoan-vi.ptx": ["sec-ma-tran-hoan-vi"], "source/chapter02/sec-ma-tran-bac-thang.ptx": ["sec-ma-tran-bac-thang"], "source/chapter02/sec-tru-cua-hang-va-hang-cua-ma-tran.ptx": ["sec-tru-cua-hang-va-hang-cua-ma-tran"], "source/chapter03/ch-cac-phep-toan-doi-voi-ma-tran.ptx": ["ch-cac-phep-toan-doi-voi-ma-tran"], "source/chapter03/sec-tong-cua-hai-ma-tran.ptx": ["sec-tong-cua-hai-ma-tran"], "source/chapter03/sec-nhan-ma-tran-voi-mot-so.ptx": ["sec-nhan-ma-tran-voi-mot-so"], "source/chapter03/sec-nhan-hai-ma-tran.ptx": ["sec-nhan-hai-ma-tran"], "source/chapter03/sec-ma-tran-khoi.ptx": ["sec-ma-tran-khoi"], "source/chapter03/sec-nhan-ma-tran-theo-khoi.ptx": ["sec-nhan-ma-tran-theo-khoi"], "source/chapter04/ch-dinh-thuc.ptx": ["ch-dinh-thuc"], "source/chapter04/sec-dinh-thuc.ptx": ["sec-dinh-thuc"], "source/chapter04/sec-ma-tran-con-va-phan-phu-dai-so.ptx": ["sec-ma-tran-con-va-phan-phu-dai-so"], "source/chapter04/sec-tinh-dinh-thuc.ptx": ["sec-tinh-dinh-thuc"], "source/chapter05/ch-giai-he-phuong-trinh-tuyen-tinh.ptx": ["ch-giai-he-phuong-trinh-tuyen-tinh"], "source/chapter05/sec-phuong-phap-khu-gauss.ptx": ["sec-phuong-phap-khu-gauss"], "source/chapter05/sec-phuong-phap-cramer-doi-voi-he-phuong-trinh-co-so-phuong-trinh-bang-so-an.ptx": ["sec-phuong-phap-cramer-doi-voi-he-phuong-trinh-co-so-phuong-trinh-bang-so-an"], "source/chapter05/sec-mot-so-ung-dung.ptx": ["sec-mot-so-ung-dung"], "source/chapter06/ch-phan-tich-ma-tran.ptx": ["ch-phan-tich-ma-tran"], "source/chapter06/sec-phan-tich-a-lu.ptx": ["sec-phan-tich-a-lu"], "source/chapter06/sec-phan-tich-a-cr.ptx": ["sec-phan-tich-a-cr"], "source/chapter06/sec-ma-tran-nghich-dao.ptx": ["sec-ma-tran-nghich-dao"], "source/chapter06/sec-ung-dung-de-giai-he-phuong-trinh-tuyen-tinh.ptx": ["sec-ung-dung-de-giai-he-phuong-trinh-tuyen-tinh"], "source/backmatter.ptx": ["backmatter"]}
83 changes: 83 additions & 0 deletions example1-if.html
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104 changes: 104 additions & 0 deletions example1.html
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<a class="assistive" href="#ptx-content">Skip to main content</a><div id="latex-macros" class="hidden-content process-math" style="display:none"><span class="process-math">\(\require{cancel}\require{mathtools}\require{boldsymbol}\newcommand{\N}{\mathbb{N}}
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<h1 class="heading"><a href="linear-algebra-for-dummies.html"><span class="title">Linear Algebra for Dummies</span></a></h1>
<p class="byline">You</p>
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<iframe id="example1" width="600" height="700" src="example1-if.html"></iframe><div class="instructions"><details id="example1-2" class="solution-like born-hidden-knowl"><summary><h3 class="heading"><span class="type">Instructions<span class="period">.</span></span></h3></summary><div class="solution-like"><div class="para" id="example1-2-1">Test online example</div></div></details></div>
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73 changes: 73 additions & 0 deletions external/code/collision.js
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/* Mike Bostock, GPL license, 2018-04-25 */
/* https://bl.ocks.org/mbostock/3231298 */

var width = 480,
height = 480;

var nodes = d3.range(200).map(function() { return {radius: Math.random() * 12 + 4}; }),
root = nodes[0],
color = d3.scale.category10();

root.radius = 0;
root.fixed = true;

var force = d3.layout.force()
.gravity(0.05)
.charge(function(d, i) { return i ? 0 : -2000; })
.nodes(nodes)
.size([width, height]);

force.start();

var svg = d3.select("#d3-collision").append("svg")
.attr("width", width)
.attr("height", height);

svg.selectAll("circle")
.data(nodes.slice(1))
.enter().append("circle")
.attr("r", function(d) { return d.radius; })
.style("fill", function(d, i) { return color(i % 3); });

force.on("tick", function(e) {
var q = d3.geom.quadtree(nodes),
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n = nodes.length;

while (++i < n) q.visit(collide(nodes[i]));

svg.selectAll("circle")
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.attr("cy", function(d) { return d.y; });
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svg.on("mousemove", function() {
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root.px = p1[0];
root.py = p1[1];
force.resume();
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function collide(node) {
var r = node.radius + 16,
nx1 = node.x - r,
nx2 = node.x + r,
ny1 = node.y - r,
ny2 = node.y + r;
return function(quad, x1, y1, x2, y2) {
if (quad.point && (quad.point !== node)) {
var x = node.x - quad.point.x,
y = node.y - quad.point.y,
l = Math.sqrt(x * x + y * y),
r = node.radius + quad.point.radius;
if (l < r) {
l = (l - r) / l * .5;
node.x -= x *= l;
node.y -= y *= l;
quad.point.x += x;
quad.point.y += y;
}
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return x1 > nx2 || x2 < nx1 || y1 > ny2 || y2 < ny1;
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46 changes: 46 additions & 0 deletions external/code/jsxmatrix1.js
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JXG.Options.text.useMathJax = true;
var b1 = JXG.JSXGraph.initBoard('jxgbox', {boundingbox:[-10,10,10,-10], axis:true});
b1.suspendUpdate();
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var b = b1.create('slider',[[-5,-3],[5,-3],[-5,0,5]],{name:'b', snapWidth:0.1});
var c = b1.create('slider',[[-5,-4],[5,-4],[-5,0,5]],{name:'c', snapWidth:0.1});
var d = b1.create('slider',[[-5,-5],[5,-5],[-5,1,5]],{name:'d', snapWidth:0.1});

var v = b1.create('point',[2,2],{face:'o', size:2, name:'v'});
var va = b1.create('arrow',[[0,0],v]);

var v2 = b1.create('point',[
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var va2 = b1.create('arrow',[[0,0],v2],{strokeColor:'black', strokeWidth:1});

var t = b1.create('text',[-8, 5,
function(){ return '\\[ M = \\left(\\begin{matrix}'
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+ (b.Value()).toFixed(2) + '\\\\'
+ (c.Value()).toFixed(2) +'&'
+ (d.Value()).toFixed(2)+'\\end{matrix}\\right)\\]';}]);

var t2 = b1.create('text',[-8,2,
function(){ return "\\[\\lambda = \\frac{|v'|}{|v|} = "
+ (
JXG.Math.Geometry.distance([0,0],[v2.X(),v2.Y()])/
JXG.Math.Geometry.distance([0,0],[v.X(),v.Y()])
).toFixed(3)
+ "\\]";}]);
b1.unsuspendUpdate();

showTrace = false;
var toggleTrace = function() {
showTrace = !showTrace;
v.setProperty({trace: showTrace});
v2.setProperty({trace: showTrace});
var b = document.getElementById("toggleButton");
if (showTrace) {
b.value = "Hide trace";
} else {
b.value = "Show trace";
v.clearTrace();
v2.clearTrace();
}
};
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