1 #LyX 2.3 created this file. For more info see http://www.lyx.org/
5 \save_transient_properties true
6 \origin /systemlyxdir/examples/
8 \use_default_options true
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30 \default_output_format default
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39 \use_package amsmath 1
40 \use_package amssymb 1
43 \use_package mathdots 1
44 \use_package mathtools 1
46 \use_package stackrel 1
47 \use_package stmaryrd 1
48 \use_package undertilde 1
50 \cite_engine_type default
54 \paperorientation portrait
64 \paragraph_separation indent
65 \paragraph_indentation default
67 \math_numbering_side default
72 \paperpagestyle default
73 \tracking_changes false
82 \begin_layout Standard
87 environment, provided by the
91 package, is helpful to group logically-linked equations.
92 For example, the one-speed one-dimensional integro-differential equation
94 \begin_inset Formula $0\le x\le X$
98 \begin_inset Formula $-1\le\mu\le1$
106 \begin_inset CommandInset ref
108 reference "eq:odoglbe"
112 has associated boundary conditions shown in Eqs.
117 \begin_inset CommandInset ref
124 \begin_inset CommandInset ref
131 \begin_inset Flex Subequations
134 \begin_layout Plain Layout
137 \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}\\
138 \psi\left(0,\mu\right) & =\psi\left(0,-\mu\right)\,,\,0<\mu\le1,\label{eq:rlbc}\\
139 \psi\left(X,\mu\right) & =0\,,\,-1\le\mu<0.\label{eq:vrbc}
145 \begin_inset CommandInset label
147 name "eq:odoglbeset_aligned"
159 \begin_layout Standard
160 In the previous case, the equations use the
168 environment; however, this is not necessary as shown in Eqs.
173 \begin_inset CommandInset ref
175 reference "eq:odoglbenoa"
180 \begin_inset CommandInset ref
182 reference "eq:vrbcnoa"
188 \begin_inset Flex Subequations
191 \begin_layout Plain Layout
194 \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}
202 \psi\left(0,\mu\right)=\psi\left(0,-\mu\right)\,,\,0<\mu\le1,\label{eq:rlbcnoa}
208 \begin_inset CommandInset label
210 name "eq:odoglbeset_individual"
217 \psi\left(X,\mu\right)=0\,,\,-1\le\mu<0.\label{eq:vrbcnoa}
230 \begin_layout Standard
231 As an alternative to cross-referencing each subequation directly, the group
232 of subequations (i.e., Eq.
237 \begin_inset CommandInset ref
239 reference "eq:odoglbeset_aligned"
248 \begin_inset CommandInset ref
250 reference "eq:odoglbeset_individual"
254 ) can be referenced by placing a label within the subequation inset but
255 outside the equation(s).