1 #LyX 2.3 created this file. For more info see http://www.lyx.org/
5 \save_transient_properties true
6 \origin /systemlyxdir/examples/
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39 \use_package amsmath 1
40 \use_package amssymb 1
43 \use_package mathdots 1
44 \use_package mathtools 1
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48 \use_package undertilde 1
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54 \paperorientation portrait
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82 \begin_layout Standard
87 environment is provided in LyX by the
91 module (Document > Settings > Modules).
92 It is helpful to group logically-linked equations.
93 For example, the one-speed one-dimensional integro-differential equation
95 \begin_inset Formula $0\le x\le X$
99 \begin_inset Formula $-1\le\mu\le1$
107 \begin_inset CommandInset ref
109 reference "eq:odoglbe"
113 has associated boundary conditions shown in Eqs.
118 \begin_inset CommandInset ref
125 \begin_inset CommandInset ref
132 \begin_inset Flex Subequations
135 \begin_layout Plain Layout
138 \mu\frac{d\psi\left(x,\mu\right)}{dx}+\Sigma_{t}\left(x\right)\psi\left(x,\mu\right) & =\intop_{-1}^{1}\frac{\Sigma_{s}\left(x,\mu'\to\mu\right)}{2}\psi\left(x,\mu'\right)d\mu'+\frac{Q\left(x,\mu\right)}{2},\label{eq:odoglbe}\\
139 \psi\left(0,\mu\right) & =\psi\left(0,-\mu\right)\,,\,0<\mu\le1,\label{eq:rlbc}\\
140 \psi\left(X,\mu\right) & =0\,,\,-1\le\mu<0.\label{eq:vrbc}
146 \begin_inset CommandInset label
148 name "eq:odoglbeset_aligned"
160 \begin_layout Standard
161 In the previous case, the equations use the
169 environment; however, this is not necessary as shown in Eqs.
174 \begin_inset CommandInset ref
176 reference "eq:odoglbenoa"
181 \begin_inset CommandInset ref
183 reference "eq:vrbcnoa"
189 \begin_inset Flex Subequations
192 \begin_layout Plain Layout
195 \mu\frac{d\psi\left(x,\mu\right)}{dx}+\Sigma_{t}\left(x\right)\psi\left(x,\mu\right)=\intop_{-1}^{1}\frac{\Sigma_{s}\left(x,\mu'\to\mu\right)}{2}\psi\left(x,\mu'\right)d\mu'+\frac{Q\left(x,\mu\right)}{2},\label{eq:odoglbenoa}
203 \psi\left(0,\mu\right)=\psi\left(0,-\mu\right)\,,\,0<\mu\le1,\label{eq:rlbcnoa}
209 \begin_inset CommandInset label
211 name "eq:odoglbeset_individual"
218 \psi\left(X,\mu\right)=0\,,\,-1\le\mu<0.\label{eq:vrbcnoa}
231 \begin_layout Standard
232 As an alternative to cross-referencing each subequation directly, the group
233 of subequations (i.e., Eq.
238 \begin_inset CommandInset ref
240 reference "eq:odoglbeset_aligned"
249 \begin_inset CommandInset ref
251 reference "eq:odoglbeset_individual"
255 ) can be referenced by placing a label within the subequation inset but
256 outside the equation(s).