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262 lines
4.8 KiB
Plaintext
262 lines
4.8 KiB
Plaintext
#LyX 2.3 created this file. For more info see http://www.lyx.org/
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\lyxformat 544
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\begin_document
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\begin_header
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\save_transient_properties true
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\origin /systemlyxdir/examples/
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\textclass article
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\use_default_options true
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\begin_modules
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subequations
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\end_modules
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\maintain_unincluded_children false
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\language english
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\language_package default
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\inputencoding auto
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\fontencoding global
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\font_roman "default" "default"
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\font_sans "default" "default"
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\font_typewriter "default" "default"
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\font_math "auto" "auto"
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\font_default_family default
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\use_non_tex_fonts false
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\font_sc false
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\font_osf false
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\font_sf_scale 100 100
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\font_tt_scale 100 100
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\use_microtype false
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\use_dash_ligatures false
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\graphics default
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\default_output_format default
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\output_sync 0
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\bibtex_command default
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\index_command default
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\paperfontsize default
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\spacing single
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\use_hyperref false
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\papersize default
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\use_geometry false
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\use_package amsmath 1
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\use_package amssymb 1
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\use_package cancel 1
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\use_package esint 1
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\use_package mathdots 1
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\use_package mathtools 1
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\use_package mhchem 1
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\use_package stackrel 1
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\use_package stmaryrd 1
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\use_package undertilde 1
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\cite_engine basic
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\cite_engine_type default
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\biblio_style plain
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\use_bibtopic false
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\use_indices false
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\paperorientation portrait
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\suppress_date false
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\justification true
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\use_refstyle 1
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\use_minted 0
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\index Index
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\shortcut idx
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\color #008000
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\end_index
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\secnumdepth 3
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\tocdepth 3
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\paragraph_separation indent
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\paragraph_indentation default
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\is_math_indent 0
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\math_numbering_side default
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\quotes_style english
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\dynamic_quotes 0
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\papercolumns 1
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\papersides 1
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\paperpagestyle default
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\tracking_changes false
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\output_changes false
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\html_math_output 0
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\html_css_as_file 0
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\html_be_strict false
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\end_header
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\begin_body
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\begin_layout Standard
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The
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\family typewriter
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subequations
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\family default
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environment is provided in LyX by the
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\family typewriter
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subequations
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\family default
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module (Document > Settings > Modules).
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It is helpful to group logically-linked equations.
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For example, the one-speed one-dimensional integro-differential equation
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with
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\begin_inset Formula $0\le x\le X$
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\end_inset
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and
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\begin_inset Formula $-1\le\mu\le1$
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\end_inset
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shown in Eq.
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\begin_inset space ~
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\end_inset
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\begin_inset CommandInset ref
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LatexCommand ref
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reference "eq:odoglbe"
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\end_inset
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has associated boundary conditions shown in Eqs.
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\begin_inset space ~
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\end_inset
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\begin_inset CommandInset ref
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LatexCommand ref
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reference "eq:rlbc"
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\end_inset
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and
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\begin_inset CommandInset ref
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LatexCommand ref
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reference "eq:vrbc"
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\end_inset
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.
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\begin_inset Flex Subequations
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status open
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\begin_layout Plain Layout
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\begin_inset Formula
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\begin{align}
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\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}\\
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\psi\left(0,\mu\right) & =\psi\left(0,-\mu\right)\,,\,0<\mu\le1,\label{eq:rlbc}\\
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\psi\left(X,\mu\right) & =0\,,\,-1\le\mu<0.\label{eq:vrbc}
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\end{align}
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\end_inset
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\begin_inset CommandInset label
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LatexCommand label
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name "eq:odoglbeset_aligned"
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\end_inset
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\end_layout
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\end_inset
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\end_layout
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\begin_layout Standard
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In the previous case, the equations use the
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\family typewriter
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amsmath
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\family default
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\family typewriter
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align
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\family default
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environment; however, this is not necessary as shown in Eqs.
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\begin_inset space ~
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\end_inset
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\begin_inset CommandInset ref
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LatexCommand ref
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reference "eq:odoglbenoa"
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\end_inset
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–
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\begin_inset CommandInset ref
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LatexCommand ref
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reference "eq:vrbcnoa"
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\end_inset
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.
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\begin_inset Flex Subequations
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status open
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\begin_layout Plain Layout
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\begin_inset Formula
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\begin{equation}
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\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}
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\end{equation}
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\end_inset
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\begin_inset Formula
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\begin{equation}
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\psi\left(0,\mu\right)=\psi\left(0,-\mu\right)\,,\,0<\mu\le1,\label{eq:rlbcnoa}
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\end{equation}
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\end_inset
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\begin_inset CommandInset label
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LatexCommand label
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name "eq:odoglbeset_individual"
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\end_inset
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\begin_inset Formula
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\begin{equation}
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\psi\left(X,\mu\right)=0\,,\,-1\le\mu<0.\label{eq:vrbcnoa}
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\end{equation}
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\end_inset
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\end_layout
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\end_inset
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\end_layout
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\begin_layout Standard
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As an alternative to cross-referencing each subequation directly, the group
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of subequations (i.e., Eq.
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\begin_inset space ~
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\end_inset
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\begin_inset CommandInset ref
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LatexCommand ref
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reference "eq:odoglbeset_aligned"
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\end_inset
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and/or Eq.
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\begin_inset space ~
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\end_inset
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\begin_inset CommandInset ref
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LatexCommand ref
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reference "eq:odoglbeset_individual"
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\end_inset
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) can be referenced by placing a label within the subequation inset but
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outside the equation(s).
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\end_layout
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\end_body
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\end_document
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