Fixup a few LaTeX warnings

doc/engineering-reference/src/simulation-models-encyclopedic-reference-003/indoor-living-wall.tex

@@ -33,19 +33,18 @@ \subsection{Energy Balance of Indoor Living Wall}\label{energy-balance-of-indoor
 Indoor air heat balance connects with indoor living walls through convective heat transfer, which has the opposite sign of the term in surface heat balance. Convective portion of heat gain from LED lights also contributes to zone air heat balance equation.
 
 \begin{equation}
-\begin{array}{l}{\rho_{air}}{V_z}{c_p}{dT_z}/{dt} = \sum\limits_{i = 1}^{{N_{sl}}} {\dot Q_i^{}}  + \sum\limits_{i = 1}^{{N_{surfaces}}} {{h_i}} {A_i} ({{T_{si}} - {T_z}}) + {{h_ip}}{A_ip}({{T_{p}} - {T_z}})\\ + \sum\limits_{i = 1}^{{N_{zones}}} {{{\dot m}_i}} {C_p}{{T_{zi}} - {T_z}} + {\dot m_{\inf }}{C_p}( {{T_\infty } - {T_z}}) +{\dot Q_{sys}}\right)\end{array}
+\begin{array}{l}{\rho_{air}}{V_z}{c_p}{dT_z}/{dt} = \sum\limits_{i = 1}^{{N_{sl}}} {\dot Q_i^{}}  + \sum\limits_{i = 1}^{{N_{surfaces}}} {{h_i}} {A_i} ({{T_{si}} - {T_z}}) + {{h_ip}}{A_ip}({{T_{p}} - {T_z}})\\ + \sum\limits_{i = 1}^{{N_{zones}}} {{{\dot m}_i}} {C_p}{{T_{zi}} - {T_z}} + {\dot m_{\inf }}{C_p}( {{T_\infty } - {T_z}}) +{\dot Q_{sys}}\end{array}
 \end{equation} 
 
 where:
 
-\({\rho_{air}}{V_z}{c_p}\(dT_z}/{dt}\) represents energy stored in zone air during each timestep (W);  
+$\frac{\rho_{air} V_z c_p dT_z}{dt}$ represents energy stored in zone air during each timestep (W);
 
-\({\rho_{air}}\) is zone air density (kg/m\(^3\));
+$\rho_{air}$ is zone air density (kg/m\(^3\));
 
+$c_p$ is the air specific heat (J/(kg\(^{\circ}\)C)) ;
 
-\(c_p\) is the air specific heat (J/(kg\(^{\circ}\)C)) ; 
-
-\(V_z\) is zone air volume (m\(^3\));
+$V_z$ is zone air volume (m$^3$);
 
 \(\dot Q_i\) is the convective heat from internal loads (W); 
 
@@ -62,7 +61,7 @@ \subsection{Energy Balance of Indoor Living Wall}\label{energy-balance-of-indoor
 A modified zone air moisture balance equation shown below considers indoor living walls.
 
 \begin{equation}
-\begin{array}{l}{\rho_{air}}{V_z}{C_W}{\left( {\delta t} \right)^{ - 1}}\left( {W_z^t - W_z^{t - \delta t}} \right) = \sum\limits_{i = 1}^{{N_{sl}}} {k{g_{mas{s_{sched\;load}}}}} + kg_{mass_{et}} \\ + \sum\limits_{i = 1}^{{N_{surfaces}}} {{A_i}{h_{mi}}} {\rho_{ai{r_z}}}\left( {{W_{surf{s_i}}} - W_z^t} \right)+ \sum\limits_{i = 1}^{{N_{zones}}} {{{\dot m}_i}} \left( {{W_{zi}} - W_z^t} \right) + {{\dot m}_{\inf }}\left( {{W_\infty } - W_z^t} \right) + {{\dot m}_{sys}}\left( {{W_{\sup }} - W_z^t} \right)\end{array}
+\begin{array}{l} \frac{\rho_{air} V_z C_W}{\delta t} \left( {W_z^t - W_z^{t - \delta t}} \right) = \sum\limits_{i = 1}^{{N_{sl}}} {kg_{mass_{sched\;load}}} + kg_{mass_{et}} \\ + \sum\limits_{i = 1}^{{N_{surfaces}}} {{A_i}{h_{mi}}} {\rho_{ai{r_z}}}\left( {{W_{surf{s_i}}} - W_z^t} \right)+ \sum\limits_{i = 1}^{{N_{zones}}} {{{\dot m}_i}} \left( {{W_{zi}} - W_z^t} \right) + {{\dot m}_{\inf }}\left( {{W_\infty } - W_z^t} \right) + {{\dot m}_{sys}}\left( {{W_{\sup }} - W_z^t} \right)\end{array}
 \end{equation}
 
 where:
@@ -71,7 +70,7 @@ \subsection{Energy Balance of Indoor Living Wall}\label{energy-balance-of-indoor
 
 \(W\) is the humidity ratio of moisture air (kg moisture/kg dry air);  
 
-\({\rho_{air}}{V_z}{C_W}{({\delta t})^{ - 1}})({W_z^t - W_z^{t - \delta t}}) \right)\) represents moisture stored in zone air during each timestep (kg/s);
+$\frac{\rho_air V_z C_W}{\delta t} \left(W_z^t - W_z^{t-\delta t}\right)$ represents moisture stored in zone air during each timestep (kg/s);
 
 \(kg_{mass_{et}}\) represents moisture rate from plant evapotranspiration added to zone air (kg/s);
 
@@ -115,7 +114,7 @@ \subsection{Evapotranspiration from indoor living wall}\label{evaporation-from-i
 
 \(r_a\) represents aerodynamic resistance, which is the resistance to the flow of water vapor and sensible heat from the surface of the leaf to the surrounding air (s/m).
 
-Empirical models of stomatal resistance such as the Jarvis and the Ball models require experimental data to generate submodel structure and fit the model coefficients.  In this module, we used the surface and aerodynamic resistance models from Graamans et al. to calculate r_s and r_a. 
+Empirical models of stomatal resistance such as the Jarvis and the Ball models require experimental data to generate submodel structure and fit the model coefficients.  In this module, we used the surface and aerodynamic resistance models from Graamans et al. to calculate $r_s$ and $r_a$.
 
 \begin{equation}
 r_s=60 \cdot (1500+I_n/C)/(200+I_n/C) 

doc/input-output-reference/src/overview/group-internal-gains-people-lights-other.tex

@@ -3291,11 +3291,11 @@ \subsubsection{Outputs}\label{outputs-14-002}
   Zone,Average,Zone Baseboard Total Heating Rate {[}W{]}
 \end{itemize}
 
-\paragraph{Baseboard Electricity Rate {[}W{]}}\label{baseboard-electric-power-w}
+\paragraph{Baseboard Electricity Rate {[}W{]}}\label{baseboard-electric-power-w-2}
 
 This field is the electric power for the ZoneBaseboard:OutdoorTemperatureControlled object in Watts.
 
-\paragraph{Baseboard Electricity Energy {[}J{]}}\label{baseboard-electric-energy-j}
+\paragraph{Baseboard Electricity Energy {[}J{]}}\label{baseboard-electric-energy-j-2}
 
 The outdoor temperature controlled baseboard heat option is assumed to be fueled by electricity. This field is the same as the Baseboard Total Heating Energy (above) in joules. This energy is included in the following meters:
 \begin{lstlisting}
@@ -3311,47 +3311,47 @@ \subsubsection{Outputs}\label{outputs-14-002}
 <End-Use Subcategory>:InteriorEquipment:Electricity:SpaceType:<Space Type Name>
 \end{lstlisting}
 
-\paragraph{Baseboard Radiant Heating Rate {[}W{]}}\label{baseboard-radiant-heating-rate-w}
+\paragraph{Baseboard Radiant Heating Rate {[}W{]}}\label{baseboard-radiant-heating-rate-w-2a}
 
-\paragraph{Baseboard Radiant Heating Energy {[}J{]}}\label{baseboard-radiant-heating-energy-j}
+\paragraph{Baseboard Radiant Heating Energy {[}J{]}}\label{baseboard-radiant-heating-energy-j-2a}
 
 These output variables are the amount of radiant heat gain for the Zone\-Baseboard:\-Outdoor\-Temperature\-Controlled object in Watts (for rate) or Joules. This is determined by the current heat gain from the heater to the zone and the ``Fraction Radiant'' specified in the input. The radiant gains (long wavelength) are distributed to the surfaces using an area weighting scheme.
 
-\paragraph{Baseboard Convective Heating Rate {[}W{]}}\label{baseboard-convective-heating-rate-w}
+\paragraph{Baseboard Convective Heating Rate {[}W{]}}\label{baseboard-convective-heating-rate-w-2a}
 
-\paragraph{Baseboard Convective Heating Energy {[}J{]}}\label{baseboard-convective-heating-energy-j}
+\paragraph{Baseboard Convective Heating Energy {[}J{]}}\label{baseboard-convective-heating-energy-j-2a}
 
 These output variables are the amount of convective heat gain for the Zone\-Baseboard:\-Outdoor\-Temperature\-Controlled object in Watts (for rate) or Joules. This is determined by the current heat gain from the heater to the zone and the ``Fraction Radiant'' specified in input (1-FractionRadiant = FractionConvected). The convective heat gain is added to the zone air heat balance directly.
 
-\paragraph{Baseboard Total Heating Rate {[}W{]}}\label{baseboard-total-heating-rate-w}
+\paragraph{Baseboard Total Heating Rate {[}W{]}}\label{baseboard-total-heating-rate-w-2a}
 
-\paragraph{Baseboard Total Heating Energy {[}J{]}}\label{baseboard-total-heating-energy-j}
+\paragraph{Baseboard Total Heating Energy {[}J{]}}\label{baseboard-total-heating-energy-j-2a}
 
 These output variables are the amount of heat gain for the Zone\-Baseboard:\-Outdoor\-Temperature\-Controlled object in Watts (for rate) or Joules. This is determined by the sum of the radiant and convective heat gains from the baseboard heat.
 
-\paragraph{Space or Zone Baseboard Electricity Rate {[}W{]}}\label{zone-baseboard-electric-power-w}
+\paragraph{Space or Zone Baseboard Electricity Rate {[}W{]}}\label{zone-baseboard-electric-power-w-2}
 
 This field is the electric power for all Zone\-Baseboard:\-Outdoor\-Temperature\-Controlled objects within the space or zone in Watts.
 
-\paragraph{Space or Zone Baseboard Electricity Energy {[}J{]}}\label{zone-baseboard-electric-energy-j}
+\paragraph{Space or Zone Baseboard Electricity Energy {[}J{]}}\label{zone-baseboard-electric-energy-j-2}
 
 The outdoor temperature controlled baseboard heat option is assumed to be fueled by electricity. This field is the same as the Baseboard Total Heating Energy (above) in joules. 
 
-\paragraph{Space or Zone Baseboard Radiant Heating Rate {[}W{]}}\label{zone-baseboard-radiant-heating-rate-w}
+\paragraph{Space or Zone Baseboard Radiant Heating Rate {[}W{]}}\label{zone-baseboard-radiant-heating-rate-w-2}
 
-\paragraph{Space or Zone Baseboard Radiant Heating Energy {[}J{]}}\label{zone-baseboard-radiant-heating-energy-j}
+\paragraph{Space or Zone Baseboard Radiant Heating Energy {[}J{]}}\label{zone-baseboard-radiant-heating-energy-j-2}
 
 These output variables are the amount of radiant heat gain for all Zone\-Baseboard:\-Outdoor\-Temperature\-Controlled objects within the space or zone in Watts (for rate) or Joules. This is determined by the current heat gain from the heater to the space or zone and the ``Fraction Radiant'' specified in the input. The radiant gains (long wavelength) are distributed to the surfaces using an area weighting scheme.
 
-\paragraph{Space or Zone Baseboard Convective Heating Rate {[}W{]}}\label{zone-baseboard-convective-heating-rate-w}
+\paragraph{Space or Zone Baseboard Convective Heating Rate {[}W{]}}\label{zone-baseboard-convective-heating-rate-w-2}
 
-\paragraph{Space or Zone Baseboard Convective Heating Energy {[}J{]}}\label{zone-baseboard-convective-heating-energy-j}
+\paragraph{Space or Zone Baseboard Convective Heating Energy {[}J{]}}\label{zone-baseboard-convective-heating-energy-j-2}
 
 These output variables are the amount of convective heat gain for all Zone\-Baseboard:\-Outdoor\-Temperature\-Controlled objects within the space or zone in Watts (for rate) or Joules. This is determined by the current heat gain from the heater to the space or zone and the ``Fraction Radiant'' specified in input (1-FractionRadiant = FractionConvected). The convective heat gain is added to the space or zone air heat balance directly.
 
-\paragraph{Space or Zone Baseboard Total Heating Rate {[}W{]}}\label{zone-baseboard-total-heating-rate-w}
+\paragraph{Space or Zone Baseboard Total Heating Rate {[}W{]}}\label{zone-baseboard-total-heating-rate-w-2}
 
-\paragraph{Space or Zone Baseboard Total Heating Energy {[}J{]}}\label{zone-baseboard-total-heating-energy-j}
+\paragraph{Space or Zone Baseboard Total Heating Energy {[}J{]}}\label{zone-baseboard-total-heating-energy-j-2}
 
 These output variables are the amount of heat gain for all Zone\-Baseboard:\-Outdoor\-Temperature\-Controlled objects within the space or zone in Watts (for rate) or Joules. This is determined by the sum of the radiant and convective heat gains from the baseboard heat.