commit 0597e82417b4ff507cb8e250e8a52e16a8d996b1
Author: Koji Yokota <[email protected]>
Date: Fri Jul 18 01:03:56 2025 +0900
Update intertext description in Math.lyx
---
lib/doc/Math.lyx | 421 +++++++++++++++++++++++++++++++++----------------------
1 file changed, 251 insertions(+), 170 deletions(-)
diff --git a/lib/doc/Math.lyx b/lib/doc/Math.lyx
index dae6d0a15f..fa883accc5 100644
--- a/lib/doc/Math.lyx
+++ b/lib/doc/Math.lyx
@@ -1,5 +1,5 @@
-#LyX 2.4 created this file. For more info see https://www.lyx.org/
-\lyxformat 620
+#LyX 2.5 created this file. For more info see https://www.lyx.org/
+\lyxformat 641
\begin_document
\begin_header
\save_transient_properties true
@@ -201,12 +201,20 @@ logicalmkup
\use_indices false
\paperorientation portrait
\suppress_date false
-\justification true
-\use_refstyle 0
+\justification default
+\crossref_package prettyref
\use_formatted_ref 0
\use_minted 0
\use_lineno 0
-\notefontcolor #0000ff
+\customcolor lyxnotefontcolor 0000ff
+\backgroundcolor none
+\fontcolor none
+\notefontcolor lyxnotefontcolor
+\boxbgcolor red
+\table_border_color default
+\table_odd_row_color default
+\table_even_row_color default
+\table_alt_row_colors_start 1
\index Index
\shortcut idx
\color #008000
@@ -235,6 +243,8 @@ logicalmkup
\html_be_strict false
\docbook_table_output 0
\docbook_mathml_prefix 1
+\docbook_mathml_version 0
+\author -1900975149 "Koji Yokota" [email protected]
\author -712698321 "Jürgen Spitzmüller"
\author 5863208 "ab"
\end_header
@@ -295,7 +305,13 @@ author:
\family sans
-Version 2.4.x
+Version 2.
+\change_deleted -1900975149 1752684621
+4
+\change_inserted -1900975149 1752684625
+5
+\change_unchanged
+.x
\end_layout
\begin_layout Standard
@@ -439,7 +455,6 @@ status collapsed
\begin_layout Plain Layout
-
\backslash
AmS
\end_layout
@@ -462,7 +477,6 @@ status collapsed
\begin_layout Plain Layout
-
\backslash
AmS
\end_layout
@@ -480,7 +494,6 @@ status collapsed
\begin_layout Plain Layout
-
\backslash
AmS
\end_layout
@@ -3845,7 +3858,7 @@ Indices created with sub- and superscripts:
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $_{9}^{19}\mathrm{F}$
+\begin_inset Formula $^{19}_{9}\mathrm{F}$
\end_inset
@@ -3868,7 +3881,7 @@ Correct indices:
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $_{\phantom{1}9}^{19}\mathrm{F}$
+\begin_inset Formula $^{19}_{\phantom{1}9}\mathrm{F}$
\end_inset
@@ -4023,7 +4036,7 @@ F
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $_{\phantom{1}9}^{19}\mathrm{F}$
+\begin_inset Formula $^{19}_{\phantom{1}9}\mathrm{F}$
\end_inset
@@ -4070,7 +4083,7 @@ F
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $_{\phantom{23}9}^{235}\mathrm{F}$
+\begin_inset Formula $^{235}_{\phantom{23}9}\mathrm{F}$
\end_inset
@@ -4113,7 +4126,7 @@ _MMt
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\Lambda_{MMt}^{\phantom{ii}t}$
+\begin_inset Formula $\Lambda^{\phantom{ii}t}_{MMt}$
\end_inset
@@ -8771,7 +8784,6 @@ status collapsed
\begin_layout Plain Layout
-
\backslash
setlength{
\backslash
@@ -8795,7 +8807,6 @@ status collapsed
\begin_layout Plain Layout
-
\backslash
setlength{
\backslash
@@ -11008,7 +11019,6 @@ status collapsed
\begin_layout Plain Layout
-
\backslash
texorpdfstring{
\end_layout
@@ -11038,7 +11048,6 @@ nolink "false"
status collapsed
\begin_layout Plain Layout
-
}{}
\end_layout
@@ -11800,7 +11809,6 @@ status collapsed
\begin_layout Plain Layout
-
\backslash
ifundertilde
\end_layout
@@ -11895,7 +11903,6 @@ status collapsed
\begin_layout Plain Layout
-
\backslash
else
\end_layout
@@ -11935,7 +11942,6 @@ status collapsed
\begin_layout Plain Layout
-
\backslash
fi
\end_layout
@@ -13434,7 +13440,6 @@ status collapsed
\begin_layout Plain Layout
-
\backslash
texorpdfstring{
\end_layout
@@ -13464,7 +13469,6 @@ nolink "false"
status collapsed
\begin_layout Plain Layout
-
}{}
\end_layout
@@ -14093,7 +14097,6 @@ status collapsed
\begin_layout Plain Layout
-
\backslash
setlength{
\backslash
@@ -14120,7 +14123,6 @@ status collapsed
\begin_layout Plain Layout
-
\backslash
setlength{
\backslash
@@ -14723,7 +14725,6 @@ status open
\begin_layout Plain Layout
-
\backslash
fboxrule 2mm
\backslash
@@ -14803,7 +14804,6 @@ status open
\begin_layout Plain Layout
-
\backslash
fboxrule 0.4pt
\backslash
@@ -15847,7 +15847,6 @@ status collapsed
\begin_layout Plain Layout
-
\backslash
fboxrule 1mm
\backslash
@@ -15870,7 +15869,6 @@ status collapsed
\begin_layout Plain Layout
-
\backslash
fboxrule 0.4pt
\backslash
@@ -16120,7 +16118,6 @@ status collapsed
\begin_layout Plain Layout
-
\backslash
textcolor{darkgreen}{
\end_layout
@@ -16140,7 +16137,6 @@ darkgreen
status collapsed
\begin_layout Plain Layout
-
}
\end_layout
@@ -16580,7 +16576,6 @@ status collapsed
\begin_layout Plain Layout
-
\backslash
fboxsep 5mm
\backslash
@@ -16598,7 +16593,6 @@ status collapsed
\begin_layout Plain Layout
-
\backslash
fbox{
\backslash
@@ -16626,7 +16620,6 @@ fboxrule}{
status collapsed
\begin_layout Plain Layout
-
}}
\end_layout
@@ -16638,7 +16631,6 @@ status collapsed
\begin_layout Plain Layout
-
\backslash
fboxrule 0.4pt
\backslash
@@ -16728,7 +16720,6 @@ status collapsed
\begin_layout Plain Layout
-
\backslash
[5x-7b=3b
\backslash
@@ -16745,7 +16736,6 @@ This is a description.
status collapsed
\begin_layout Plain Layout
-
}}
\backslash
]
@@ -18099,7 +18089,7 @@ A(x)
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\prod_{0}^{\infty}A(x)$
+\begin_inset Formula $\prod^{\infty}_{0}A(x)$
\end_inset
@@ -18149,7 +18139,7 @@ arg "math-limits"
The default displayed formulas limits type is this:
\begin_inset Formula
\[
-\sum_{x=0}^{\infty}\frac{1}{x^{2}}
+\sum^{\infty}_{x=0}\frac{1}{x^{2}}
\]
\end_inset
@@ -18163,7 +18153,7 @@ Inline
:
\begin_inset Formula
\[
-\sum\nolimits_{x=0}^{\infty}\frac{1}{x^{2}}
+\sum\nolimits^{\infty}_{x=0}\frac{1}{x^{2}}
\]
\end_inset
@@ -18293,10 +18283,10 @@ substack
To create this expression
\begin_inset Formula
\begin{equation}
-\sum_{\begin{subarray}{c}
+\sum^{n}_{\begin{subarray}{c}
0<k<1000\\
\\k\,\in\,\mathbb{N}
-\end{subarray}}^{n}k^{-2}\label{eq:substack}
+\end{subarray}}k^{-2}\label{eq:substack}
\end{equation}
\end_inset
@@ -18543,10 +18533,10 @@ and inserts the operator with its limits into the
braces.
Behind the brace one continues the formula:
\begin_inset Formula
\[
-\smashoperator{\sum_{\begin{subarray}{c}
+\smashoperator{\sum^{n}_{\begin{subarray}{c}
0<k<1000\\
\\k\,\in\,\mathbb{N}
-\end{subarray}}^{n}}k^{-2}
+\end{subarray}}}k^{-2}
\]
\end_inset
@@ -18596,7 +18586,7 @@ smashoperator
\begin_layout Standard
\begin_inset Formula
\[
-Y\smashoperator{\sum_{1\le i\le j\le
n}^{n=3456}}X_{ij}=Y\smashoperator[l]{\sum_{1\le i\le j\le
n}^{n=3456}}X_{ij}=Y\smashoperator[r]{\sum_{1\le i\le j\le n}^{n=3456}}X_{ij}
+Y\smashoperator{\sum^{n=3456}_{1\le i\le j\le
n}}X_{ij}=Y\smashoperator[l]{\sum^{n=3456}_{1\le i\le j\le
n}}X_{ij}=Y\smashoperator[r]{\sum^{n=3456}_{1\le i\le j\le n}}X_{ij}
\]
\end_inset
@@ -18981,7 +18971,7 @@ n
produces:
\begin_inset Formula
\[
-\sideset{}{'}\sum_{k=1}^{n}
+\sideset{}{'}\sum^{n}_{k=1}
\]
\end_inset
@@ -19324,7 +19314,6 @@ status collapsed
\begin_layout Plain Layout
-
\backslash
raisebox{-1.2mm}{
\end_layout
@@ -19336,7 +19325,6 @@ raisebox{-1.2mm}{
status collapsed
\begin_layout Plain Layout
-
}
\end_layout
@@ -20344,7 +20332,7 @@ nolink "false"
:
\begin_inset Formula
\[
-\Lozenge_{n=1}^{\infty}
+\Lozenge^{\infty}_{n=1}
\]
\end_inset
@@ -20500,7 +20488,7 @@ mathop
\begin_layout Standard
\begin_inset Formula
\[
-\mathop{\sum\negmedspace\sum}_{i,j=1}^{N}
+\mathop{\sum\negmedspace\sum}^{N}_{i,j=1}
\]
\end_inset
@@ -21290,7 +21278,7 @@ mathbf
\begin_layout Standard
\begin_inset Formula
\[
-\mathbf{\int_{n}^{2}f(\theta)=\Gamma}\qquad\textrm{equation with
\textbackslash mathbf}
+\mathbf{\int^{2}_{n}f(\theta)=\Gamma}\qquad\textrm{equation with
\textbackslash mathbf}
\]
\end_inset
@@ -21309,7 +21297,7 @@ boldsymbol
is used:
\begin_inset Formula
\[
-\boldsymbol{\int_{n}^{2}f(\theta)=\Gamma\qquad\textrm{equation with
\textbackslash boldsymbol}}
+\boldsymbol{\int^{2}_{n}f(\theta)=\Gamma\qquad\textrm{equation with
\textbackslash boldsymbol}}
\]
\end_inset
@@ -21409,7 +21397,6 @@ status collapsed
\begin_layout Plain Layout
-
\backslash
boldmath
\end_layout
@@ -21419,7 +21406,7 @@ boldmath
\begin_inset Formula
\[
-\int_{n}^{2}f(\theta)=\Gamma\qquad\textrm{equation in a boldmath environment}
+\int^{2}_{n}f(\theta)=\Gamma\qquad\textrm{equation in a boldmath environment}
\]
\end_inset
@@ -21430,7 +21417,6 @@ status collapsed
\begin_layout Plain Layout
-
\backslash
unboldmath
\end_layout
@@ -21556,7 +21542,6 @@ status collapsed
\begin_layout Plain Layout
-
\backslash
textcolor{darkgreen}{
\end_layout
@@ -21576,7 +21561,6 @@ textcolor{darkgreen}{
status collapsed
\begin_layout Plain Layout
-
}
\end_layout
@@ -21974,7 +21958,6 @@ status collapsed
\begin_layout Plain Layout
-
\backslash
huge
\end_layout
@@ -22003,7 +21986,6 @@ status collapsed
\begin_layout Plain Layout
-
\backslash
normalsize
\end_layout
@@ -23707,7 +23689,6 @@ status collapsed
\begin_layout Plain Layout
-
\backslash
texorpdfstring{
\end_layout
@@ -23738,7 +23719,6 @@ literal "true"
status collapsed
\begin_layout Plain Layout
-
}{}
\end_layout
@@ -24331,7 +24311,6 @@ status collapsed
\begin_layout Plain Layout
-
\backslash
raisebox{-0.8mm}{
\end_layout
@@ -24347,7 +24326,6 @@ raisebox{-0.8mm}{
status collapsed
\begin_layout Plain Layout
-
}
\end_layout
@@ -25524,7 +25502,6 @@ status collapsed
\begin_layout Plain Layout
-
\backslash
officialeuro
\end_layout
@@ -25695,7 +25672,6 @@ status collapsed
\begin_layout Plain Layout
-
\backslash
ifeurosym
\end_layout
@@ -25744,7 +25720,6 @@ status collapsed
\begin_layout Plain Layout
-
\backslash
cmidrule[0.08em]{2-3}
\end_layout
@@ -25874,7 +25849,6 @@ status collapsed
\begin_layout Plain Layout
-
\backslash
officialeuro
\end_layout
@@ -25930,7 +25904,6 @@ status collapsed
\begin_layout Plain Layout
-
\backslash
else
\end_layout
@@ -25970,7 +25943,6 @@ status collapsed
\begin_layout Plain Layout
-
\backslash
fi
\end_layout
@@ -29630,7 +29602,6 @@ status collapsed
\begin_layout Plain Layout
-
\backslash
"e
\end_layout
@@ -29664,7 +29635,6 @@ status collapsed
\begin_layout Plain Layout
-
\backslash
`e
\end_layout
@@ -29702,7 +29672,6 @@ status collapsed
\begin_layout Plain Layout
-
\backslash
^e
\end_layout
@@ -29736,7 +29705,6 @@ status collapsed
\begin_layout Plain Layout
-
\backslash
=e
\end_layout
@@ -29774,7 +29742,6 @@ status collapsed
\begin_layout Plain Layout
-
\backslash
u e
\end_layout
@@ -29812,7 +29779,6 @@ status collapsed
\begin_layout Plain Layout
-
\backslash
b e
\end_layout
@@ -29850,7 +29816,6 @@ status collapsed
\begin_layout Plain Layout
-
\backslash
t ee
\end_layout
@@ -29922,7 +29887,6 @@ status collapsed
\begin_layout Plain Layout
-
\backslash
H e
\end_layout
@@ -29956,7 +29920,6 @@ status collapsed
\begin_layout Plain Layout
-
\backslash
'e
\end_layout
@@ -30002,7 +29965,6 @@ status collapsed
\begin_layout Plain Layout
-
\backslash
~e
\end_layout
@@ -30036,7 +29998,6 @@ status collapsed
\begin_layout Plain Layout
-
\backslash
.e
\end_layout
@@ -30074,7 +30035,6 @@ status collapsed
\begin_layout Plain Layout
-
\backslash
v e
\end_layout
@@ -30112,7 +30072,6 @@ status collapsed
\begin_layout Plain Layout
-
\backslash
d e
\end_layout
@@ -30150,7 +30109,6 @@ status collapsed
\begin_layout Plain Layout
-
\backslash
c e
\end_layout
@@ -30202,7 +30160,6 @@ status collapsed
\begin_layout Plain Layout
-
\backslash
t sz
\end_layout
@@ -30418,7 +30375,6 @@ status collapsed
\begin_layout Plain Layout
-
\backslash
textcircled{w}
\end_layout
@@ -30460,7 +30416,6 @@ status collapsed
\begin_layout Plain Layout
-
\backslash
Large
\backslash
@@ -30912,8 +30867,8 @@ Line separation
Sometimes there is not enough space in multiline formulas between the lines:
\begin_inset Formula
\begin{eqnarray*}
-B^{2}(B^{2}-2r_{g}^{2}+2x_{0}^{2}-2r_{k}^{2})+4x_{0}^{2}x^{2}+4x_{0}xD & = &
\textrm{-}4x^{2}B^{2}+4x_{0}xB^{2}\\
-4x^{2}\left(B^{2}+x_{0}^{2}\right)+4x_{0}x\left(D-B^{2}\right)+B^{2}\left(B^{2}-2r_{g}^{2}+2x_{0}^{2}-2r_{k}^{2}\right)
& = & 0
+B^{2}(B^{2}-2r^{2}_{g}+2x^{2}_{0}-2r^{2}_{k})+4x^{2}_{0}x^{2}+4x_{0}xD & = &
\textrm{-}4x^{2}B^{2}+4x_{0}xB^{2}\\
+4x^{2}\left(B^{2}+x^{2}_{0}\right)+4x_{0}x\left(D-B^{2}\right)+B^{2}\left(B^{2}-2r^{2}_{g}+2x^{2}_{0}-2r^{2}_{k}\right)
& = & 0
\end{eqnarray*}
\end_inset
@@ -30964,13 +30919,11 @@ status open
\begin_layout Plain Layout
-
\backslash
begin{eqnarray*}
\end_layout
\begin_layout Plain Layout
-
B^{2}(B^{2}-2r_{g}^{2}+2x_{0}^{2}-2r_{k}^{2})+4x_{0}^{2}x^{2}+4x_{0}xD & = &
\backslash
textrm{-}4x^{2}B^{2}+4x_{0}xB^{2}
@@ -30981,7 +30934,6 @@ textrm{-}4x^{2}B^{2}+4x_{0}xB^{2}
\end_layout
\begin_layout Plain Layout
-
4x^{2}
\backslash
left(B^{2}+x_{0}^{2}
@@ -30999,7 +30951,6 @@ right) & = & 0
\begin_layout Plain Layout
-
\backslash
end{eqnarray*}
\end_layout
@@ -31155,7 +31106,6 @@ status collapsed
\begin_layout Plain Layout
-
\backslash
setlength{
\backslash
@@ -31167,8 +31117,8 @@ jot}{3mm+3pt}
\begin_inset Formula
\begin{eqnarray*}
-B^{2}(B^{2}-2r_{g}^{2}+2x_{0}^{2}-2r_{k}^{2})+4x_{0}^{2}x^{2}+4x_{0}xD & = &
\textrm{-}4x^{2}B^{2}+4x_{0}xB^{2}\\
-4x^{2}\left(B^{2}+x_{0}^{2}\right)+4x_{0}x\left(D-B^{2}\right)+B^{2}\left(B^{2}-2r_{g}^{2}+2x_{0}^{2}-2r_{k}^{2}\right)
& = & 0
+B^{2}(B^{2}-2r^{2}_{g}+2x^{2}_{0}-2r^{2}_{k})+4x^{2}_{0}x^{2}+4x_{0}xD & = &
\textrm{-}4x^{2}B^{2}+4x_{0}xB^{2}\\
+4x^{2}\left(B^{2}+x^{2}_{0}\right)+4x_{0}x\left(D-B^{2}\right)+B^{2}\left(B^{2}-2r^{2}_{g}+2x^{2}_{0}-2r^{2}_{k}\right)
& = & 0
\end{eqnarray*}
\end_inset
@@ -31182,7 +31132,6 @@ status collapsed
\begin_layout Plain Layout
-
\backslash
setlength{
\backslash
@@ -31364,7 +31313,6 @@ status open
\begin_layout Plain Layout
-
\backslash
setlength{
\backslash
@@ -31392,7 +31340,6 @@ status open
\begin_layout Plain Layout
-
\backslash
setlength{
\backslash
@@ -31581,9 +31528,9 @@ lefteqn
It is inserted in the first column of the first line and causes all further
insertions to overwrite the following columns:
\begin_inset Formula
\begin{eqnarray}
-\lefteqn{4x^{2}\left(B^{2}+x_{0}^{2}\right)+4x_{0}x\left(D-B^{2}\right)+B^{2}\left(B^{2}-2r_{g}^{2}+2x_{0}^{2}-2r_{k}^{2}\right)+D^{2}}\nonumber
\\
- & &
-\hspace{3pt}B^{2}-2B\sqrt{r_{g}^{2}-x^{2}+2x_{0}x-x_{0}^{2}}+r_{g}^{2}-x^{2}+2x_{0}x-x_{0}^{2}\nonumber
\\
- & &
=B^{2}+2\left(r_{g}^{2}+2x_{0}x-x_{0}^{2}-r_{k}^{2}\right)+\frac{\left(r_{g}^{2}+2x_{0}x-x_{0}^{2}-r_{k}^{2}\right)^{2}}{B^{2}}\label{eq:lefteqn}
+\lefteqn{4x^{2}\left(B^{2}+x^{2}_{0}\right)+4x_{0}x\left(D-B^{2}\right)+B^{2}\left(B^{2}-2r^{2}_{g}+2x^{2}_{0}-2r^{2}_{k}\right)+D^{2}}\nonumber
\\
+ & &
-\hspace{3pt}B^{2}-2B\sqrt{r^{2}_{g}-x^{2}+2x_{0}x-x^{2}_{0}}+r^{2}_{g}-x^{2}+2x_{0}x-x^{2}_{0}\nonumber
\\
+ & &
=B^{2}+2\left(r^{2}_{g}+2x_{0}x-x^{2}_{0}-r^{2}_{k}\right)+\frac{\left(r^{2}_{g}+2x_{0}x-x^{2}_{0}-r^{2}_{k}\right)^{2}}{B^{2}}\label{eq:lefteqn}
\end{eqnarray}
\end_inset
@@ -31896,7 +31843,7 @@ for multiline expressions
For brackets spanning multiple lines the following problem occurs:
\begin_inset Formula
\begin{eqnarray*}
-A & = & \sin(x)\left[\prod_{R=1}^{\infty}\frac{1}{R}+\cdots\right.\\
+A & = & \sin(x)\left[\prod^{\infty}_{R=1}\frac{1}{R}+\cdots\right.\\
& & \left.\cdots+B-D\right]
\end{eqnarray*}
@@ -32109,8 +32056,8 @@ vphantom
The result is this:
\begin_inset Formula
\begin{eqnarray*}
-A & = & \sin(x)\left[\prod_{R=1}^{\infty}\frac{1}{R}+\cdots\right.\\
- & & \left.\vphantom{\prod_{R=1}^{\infty}}\cdots+B-D\right]
+A & = & \sin(x)\left[\prod^{\infty}_{R=1}\frac{1}{R}+\cdots\right.\\
+ & & \left.\vphantom{\prod^{\infty}_{R=1}}\cdots+B-D\right]
\end{eqnarray*}
\end_inset
@@ -32642,9 +32589,9 @@ nolink "false"
in the multline environment:
\begin_inset Formula
\begin{multline}
-4x^{2}\left(B^{2}+x_{0}^{2}\right)+4x_{0}x\left(D-B^{2}\right)+B^{2}\left(B^{2}-2r_{g}^{2}+2x_{0}^{2}-2r_{k}^{2}\right)+D^{2}\\
--B^{2}-2B\sqrt{r_{g}^{2}-x^{2}+2x_{0}x-x_{0}^{2}}+r_{g}^{2}-x^{2}+2x_{0}x-x_{0}^{2}\\
-=B^{2}+2\left(r_{g}^{2}+2x_{0}x-x_{0}^{2}-r_{k}^{2}\right)+\frac{\left(r_{g}^{2}+2x_{0}x-x_{0}^{2}-r_{k}^{2}\right)^{2}}{B^{2}}
+4x^{2}\left(B^{2}+x^{2}_{0}\right)+4x_{0}x\left(D-B^{2}\right)+B^{2}\left(B^{2}-2r^{2}_{g}+2x^{2}_{0}-2r^{2}_{k}\right)+D^{2}\\
+-B^{2}-2B\sqrt{r^{2}_{g}-x^{2}+2x_{0}x-x^{2}_{0}}+r^{2}_{g}-x^{2}+2x_{0}x-x^{2}_{0}\\
+=B^{2}+2\left(r^{2}_{g}+2x_{0}x-x^{2}_{0}-r^{2}_{k}\right)+\frac{\left(r^{2}_{g}+2x_{0}x-x^{2}_{0}-r^{2}_{k}\right)^{2}}{B^{2}}
\end{multline}
\end_inset
@@ -32850,7 +32797,6 @@ status collapsed
\begin_layout Plain Layout
-
\backslash
setlength{
\backslash
@@ -32862,9 +32808,9 @@ multlinegap}{2cm}
\begin_inset Formula
\begin{multline}
-4x^{2}\left(B^{2}+x_{0}^{2}\right)+4x_{0}x\left(D-B^{2}\right)+B^{2}\left(B^{2}-2r_{g}^{2}+2x_{0}^{2}-2r_{k}^{2}\right)+D^{2}\\
-\shoveleft{-B^{2}-2B\sqrt{r_{g}^{2}-x^{2}+2x_{0}x-x_{0}^{2}}+r_{g}^{2}-x^{2}+2x_{0}x-x_{0}^{2}}\\
-=B^{2}+2\left(r_{g}^{2}+2x_{0}x-x_{0}^{2}-r_{k}^{2}\right)+\frac{\left(r_{g}^{2}+2x_{0}x-x_{0}^{2}-r_{k}^{2}\right)^{2}}{B^{2}}
+4x^{2}\left(B^{2}+x^{2}_{0}\right)+4x_{0}x\left(D-B^{2}\right)+B^{2}\left(B^{2}-2r^{2}_{g}+2x^{2}_{0}-2r^{2}_{k}\right)+D^{2}\\
+\shoveleft{-B^{2}-2B\sqrt{r^{2}_{g}-x^{2}+2x_{0}x-x^{2}_{0}}+r^{2}_{g}-x^{2}+2x_{0}x-x^{2}_{0}}\\
+=B^{2}+2\left(r^{2}_{g}+2x_{0}x-x^{2}_{0}-r^{2}_{k}\right)+\frac{\left(r^{2}_{g}+2x_{0}x-x^{2}_{0}-r^{2}_{k}\right)^{2}}{B^{2}}
\end{multline}
\end_inset
@@ -32875,7 +32821,6 @@ status collapsed
\begin_layout Plain Layout
-
\backslash
setlength{
\backslash
@@ -33266,7 +33211,11 @@ text
In the align environments as well as the multline and gather environment,
text can be inserted that will appear in a separate line and doesn't affect
the column alignment.
To do this,
- the command
+
+\change_inserted -1900975149 1752713723
+let
+\change_unchanged
+the command
\series bold
\backslash
@@ -33306,20 +33255,78 @@ intertext
\end_inset
- is used in the following scheme:
+
+\change_deleted -1900975149 1752713728
+is
+\change_inserted -1900975149 1752713729
+be
+\change_unchanged
+ used
+\change_inserted -1900975149 1752713868
+ in the \SpecialChar LaTeX
+ background.
+ On \SpecialChar LyX
+,
+ it can be inserted either by typing the command directly at the beginning of
a line of equations followed by a space key,
+ or by clicking the text icon
+\begin_inset Graphics
+ filename ../images/math/dynamic-math-texts.svgz
+ lyxscale 15
+ darkModeSensitive
+ width 16pt
+
+\end_inset
+
+ on the math panel and then choosing
+\begin_inset Quotes eld
+\end_inset
+
+Intertext
+\begin_inset Quotes erd
+\end_inset
+
+.
+ If the math panel is not visible,
+ modify the settings of
+\family sans
+View\SpecialChar menuseparator
+Toolbars\SpecialChar menuseparator
+Math Panels
+\family default
+.
+ It will present an input space on screen,
+ in which the text to be placed between equations should be typed.
+ Its shorter height version,
+
+\series bold
+
+\backslash
+shortintertext
+\series default
+,
+ can be inserted in a similar way.
+
+\change_deleted -1900975149 1752682177
+ in the following scheme:
\end_layout
\begin_layout Standard
+\change_deleted -1900975149 1752682177
+
\series bold
\backslash
intertext{text}
+\change_unchanged
+
\end_layout
\begin_layout Standard
The text should not be longer than a line because it cannot be hyphenated.
- As \SpecialChar LyX
+
+\change_deleted -1900975149 1752684447
+As \SpecialChar LyX
doesn't yet support
\series bold
@@ -33335,11 +33342,13 @@ intertext
intertext
\series default
must be at the beginning of a line and will appear in the output above this
line.
+
+\change_unchanged
An example where the text was inserted at the beginning of the second line:
\begin_inset Formula
\begin{align}
-I & =a\sqrt{2}\int_{0}^{2\pi}\sqrt{1+\cos(\phi)}\;\mathrm{d}\phi\\
-\intertext{\text{integrand is symmetric to \ensuremath{\phi=\pi}, therefore}}
& =2a\sqrt{2}\int_{0}^{\pi}\sqrt{1+\cos(\phi)}\;\mathrm{d}\phi
+I & =a\sqrt{2}\int^{2\pi}_{0}\sqrt{1+\cos(\phi)}\;\mathrm{d}\phi\\
+\intertext{\text{integrand is symmetric to \ensuremath{\phi=\pi}, therefore}}
& =2a\sqrt{2}\int^{\pi}_{0}\sqrt{1+\cos(\phi)}\;\mathrm{d}\phi
\end{align}
\end_inset
@@ -33356,7 +33365,58 @@ intertext
\series default
always creates some vertical space between the text and the formula lines.
To avoid this space,
- in the document settings under
+
+\change_inserted -1900975149 1752685493
+the above
+\backslash
+
+\series bold
+shortintertext
+\series default
+
+\begin_inset Index idx
+range none
+pageformat default
+status collapsed
+
+\begin_layout Plain Layout
+
+\change_inserted -1900975149 1752685493
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
+\change_inserted -1900975149 1752685493
+S
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
+\change_inserted -1900975149 1752685493
+
+\backslash
+shortintertext
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\end_inset
+
+ can be used.
+ Although it uses
+\change_deleted -1900975149 1752685428
+in the document settings under
\family sans
Math
\begin_inset space ~
@@ -33364,7 +33424,9 @@ Math
Options
\family default
- for the package
+ for the
+\change_unchanged
+package
\series bold
mathtools
\series default
@@ -33390,7 +33452,19 @@ mathtools
\end_inset
- set the option to
+
+\change_inserted -1900975149 1752685471
+,
+ \SpecialChar LyX
+ automatically loads it for you.
+
+\change_unchanged
+
+\change_inserted -1900975149 1752685534
+Its output looks like:
+
+\change_deleted -1900975149 1752685518
+set the option to
\family sans
Load
\begin_inset space ~
@@ -33446,13 +33520,15 @@ shortintertext
intertext
\series default
:
+\change_unchanged
+
\end_layout
\begin_layout Standard
\begin_inset Formula
\begin{align}
-I & =a\sqrt{2}\int_{0}^{2\pi}\sqrt{1+\cos(\phi)}\;\mathrm{d}\phi\\
-\shortintertext{\text{integrand is symmetric to \ensuremath{\phi=\pi},
therefore}} & =2a\sqrt{2}\int_{0}^{\pi}\sqrt{1+\cos(\phi)}\;\mathrm{d}\phi
+I & =a\sqrt{2}\int^{2\pi}_{0}\sqrt{1+\cos(\phi)}\;\mathrm{d}\phi\\
+\shortintertext{\text{integrand is symmetric to \ensuremath{\phi=\pi},
therefore}} & =2a\sqrt{2}\int^{\pi}_{0}\sqrt{1+\cos(\phi)}\;\mathrm{d}\phi
\end{align}
\end_inset
@@ -34069,7 +34145,6 @@ status open
\begin_layout Plain Layout
-
\backslash
renewcommand{
\backslash
@@ -34526,7 +34601,6 @@ status collapsed
\begin_layout Plain Layout
-
\backslash
renewcommand{
\backslash
@@ -34554,7 +34628,6 @@ status collapsed
\begin_layout Plain Layout
-
\backslash
renewcommand{
\backslash
@@ -34579,7 +34652,6 @@ status collapsed
\begin_layout Plain Layout
-
\backslash
renewcommand{
\backslash
@@ -34604,7 +34676,6 @@ status collapsed
\begin_layout Plain Layout
-
\backslash
renewcommand{
\backslash
@@ -34683,7 +34754,6 @@ status collapsed
\begin_layout Plain Layout
-
\backslash
renewcommand{
\backslash
@@ -35031,18 +35101,27 @@ status open
status collapsed
\begin_layout Plain Layout
-
"
\end_layout
\end_inset
+
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
@
\end_layout
\end_inset
+\end_layout
+
+\end_inset
+
+
\begin_inset IndexMacro subentry
status open
@@ -35054,13 +35133,22 @@ status open
status collapsed
\begin_layout Plain Layout
-
"
\end_layout
\end_inset
-@addtoreset
+
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+@
+\end_layout
+
+\end_inset
+
+addtoreset
\end_layout
\end_inset
@@ -35272,18 +35360,27 @@ status open
status collapsed
\begin_layout Plain Layout
-
"
\end_layout
\end_inset
+
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
@
\end_layout
\end_inset
+\end_layout
+
+\end_inset
+
+
\begin_inset IndexMacro subentry
status open
@@ -35295,13 +35392,22 @@ status open
status collapsed
\begin_layout Plain Layout
-
"
\end_layout
\end_inset
-@removefromreset
+
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+@
+\end_layout
+
+\end_inset
+
+removefromreset
\end_layout
\end_inset
@@ -35424,7 +35530,6 @@ status collapsed
\begin_layout Plain Layout
-
\backslash
numberwithin{equation}{section}
\end_layout
@@ -35522,7 +35627,6 @@ status collapsed
\begin_layout Plain Layout
-
\backslash
renewcommand{
\backslash
@@ -35577,21 +35681,18 @@ status collapsed
\begin_layout Plain Layout
-
\backslash
makeatletter
\end_layout
\begin_layout Plain Layout
-
\backslash
@removefromreset{equation}{section}
\end_layout
\begin_layout Plain Layout
-
\backslash
makeatother
\end_layout
@@ -35674,7 +35775,7 @@ An example text from chemistry:
\begin_layout Quote
The
-\begin_inset Formula $\mathrm{SO_{4}^{2-}}$
+\begin_inset Formula $\mathrm{SO^{2-}_{4}}$
\end_inset
-ion reacts with two
@@ -35689,7 +35790,7 @@ The
The chemical equation for this is:
\begin_inset Formula
\begin{equation}
-\mathrm{2\,Na^{+}+SO_{4}^{2-}\longrightarrow
Na_{2}SO_{4}}\label{eq:chem-reaction}
+\mathrm{2\,Na^{+}+SO^{2-}_{4}\longrightarrow
Na_{2}SO_{4}}\label{eq:chem-reaction}
\end{equation}
\end_inset
@@ -36021,7 +36122,7 @@ Th+
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\ce{_{90}^{227}Th+}$
+\begin_inset Formula $\ce{^{227}_{90}Th+}$
\end_inset
@@ -38621,7 +38722,7 @@ Maxima
\end_layout
\begin_layout Itemize
-\begin_inset Formula $\frac{37}{3}*2-\sum_{i=1}^{3}i^{i}=-\frac{22}{3}$
+\begin_inset Formula $\frac{37}{3}*2-\sum^{3}_{i=1}i^{i}=-\frac{22}{3}$
\end_inset
@@ -38635,7 +38736,7 @@ Maxima
\end_layout
\begin_layout Itemize
-\begin_inset Formula $\int_{1}^{2}\sin(x)dx=\cos1-\cos2$
+\begin_inset Formula $\int^{2}_{1}\sin(x)dx=\cos1-\cos2$
\end_inset
@@ -38690,14 +38791,14 @@ Note:
\end_layout
\begin_layout Itemize
-\begin_inset Formula
$powerseries\left(-\log\left(5-x\right),x,1\right)=\sum_{{\mathit{i}_{2}}=0}^{\infty}{\frac{4^{-{\mathit{i}_{2}}-1}\,\left(x-1\right)^{{\mathit{i}_{2}}+1}}{{\mathit{i}_{2}}+1}}-\log4$
+\begin_inset Formula
$powerseries\left(-\log\left(5-x\right),x,1\right)=\sum^{\infty}_{{\mathit{i}_{2}}=0}{\frac{4^{-{\mathit{i}_{2}}-1}\,\left(x-1\right)^{{\mathit{i}_{2}}+1}}{{\mathit{i}_{2}}+1}}-\log4$
\end_inset
\end_layout
\begin_layout Itemize
-\begin_inset Formula
$solve\left(x_{1}+y_{1}^{3}=y_{1}+x_{1}^{2},x_{1}\right)=\left[x_{1}=-\frac{\sqrt{4\,y_{1}^{3}-4\,y_{1}+1}-1}{2},x_{1}=\frac{\sqrt{4\,y_{1}^{3}-4\,y_{1}+1}+1}{2}\right]$
+\begin_inset Formula
$solve\left(x_{1}+y^{3}_{1}=y_{1}+x^{2}_{1},x_{1}\right)=\left[x_{1}=-\frac{\sqrt{4\,y^{3}_{1}-4\,y_{1}+1}-1}{2},x_{1}=\frac{\sqrt{4\,y^{3}_{1}-4\,y_{1}+1}+1}{2}\right]$
\end_inset
@@ -39515,7 +39616,6 @@ status collapsed
\begin_layout Plain Layout
-
\backslash
ifbraket
\end_layout
@@ -39682,7 +39782,6 @@ status collapsed
\begin_layout Plain Layout
-
\backslash
else
\end_layout
@@ -39722,7 +39821,6 @@ status collapsed
\begin_layout Plain Layout
-
\backslash
fi
\end_layout
@@ -40142,7 +40240,6 @@ status collapsed
\begin_layout Plain Layout
-
\backslash
ifcancel
\end_layout
@@ -40355,7 +40452,7 @@ cancelto
is especially suitable to visualize the reduction of fractions within
formulas:
\begin_inset Formula
\[
-\frac{\left(x_{0}+bB\right)^{2}}{\left(1+b^{2}\right)^{\cancelto{2}{3}}}=\frac{x_{0}^{2}+B^{2}-r_{g}^{2}}{\cancel{1+b^{2}}}
+\frac{\left(x_{0}+bB\right)^{2}}{\left(1+b^{2}\right)^{\cancelto{2}{3}}}=\frac{x^{2}_{0}+B^{2}-r^{2}_{g}}{\cancel{1+b^{2}}}
\]
\end_inset
@@ -40438,7 +40535,6 @@ status collapsed
\begin_layout Plain Layout
-
\backslash
renewcommand{
\backslash
@@ -40455,7 +40551,7 @@ color{red}}
\begin_layout Standard
\begin_inset Formula
\[
-\frac{\left(x_{0}+bB\right)^{2}}{\left(1+b^{2}\right)^{\cancelto{2}{3}}}=\frac{x_{0}^{2}+B^{2}-r_{g}^{2}}{\cancel{1+b^{2}}}
+\frac{\left(x_{0}+bB\right)^{2}}{\left(1+b^{2}\right)^{\cancelto{2}{3}}}=\frac{x^{2}_{0}+B^{2}-r^{2}_{g}}{\cancel{1+b^{2}}}
\]
\end_inset
@@ -40469,7 +40565,6 @@ status collapsed
\begin_layout Plain Layout
-
\backslash
renewcommand{
\backslash
@@ -40539,7 +40634,6 @@ status collapsed
\begin_layout Plain Layout
-
\backslash
else
\end_layout
@@ -40579,7 +40673,6 @@ status collapsed
\begin_layout Plain Layout
-
\backslash
fi
\end_layout
@@ -40765,7 +40858,6 @@ status collapsed
\begin_layout Plain Layout
-
\backslash
boldmath
\end_layout
@@ -40800,7 +40892,6 @@ status collapsed
\begin_layout Plain Layout
-
\backslash
texorpdfstring{
\end_layout
@@ -40816,7 +40907,6 @@ texorpdfstring{
status collapsed
\begin_layout Plain Layout
-
}{}
\end_layout
@@ -40831,7 +40921,6 @@ status collapsed
\begin_layout Plain Layout
-
\backslash
unboldmath
\end_layout
@@ -41089,7 +41178,6 @@ status collapsed
\begin_layout Plain Layout
-
\backslash
begin{multicols}{2}
\end_layout
@@ -41119,7 +41207,6 @@ status collapsed
\begin_layout Plain Layout
-
\backslash
end{multicols}
\end_layout
@@ -41133,7 +41220,7 @@ end{multicols}
\begin_inset Formula
\begin{equation}
-S(t)=S_{0}(t)\int_{-\infty}^{\infty}P(\phi,t)\mathrm{e}^{\mathrm{i}\phi}\,\mathrm{d}\phi
+S(t)=S_{0}(t)\int^{\infty}_{-\infty}P(\phi,t)\mathrm{e}^{\mathrm{i}\phi}\,\mathrm{d}\phi
\end{equation}
\end_inset
@@ -41144,7 +41231,6 @@ status collapsed
\begin_layout Plain Layout
-
\backslash
begin{multicols}{2}
\end_layout
@@ -41156,7 +41242,7 @@ wobei
\end_inset
das Signal ohne Gradient ist und die Normierungsbedingung
-\begin_inset Formula $\int_{-\infty}^{\infty}P(\phi,t)\,\mathrm{d}\phi=1$
+\begin_inset Formula $\int^{\infty}_{-\infty}P(\phi,t)\,\mathrm{d}\phi=1$
\end_inset
gilt.
@@ -41186,7 +41272,6 @@ status collapsed
\begin_layout Plain Layout
-
\backslash
end{multicols}
\end_layout
@@ -41529,7 +41614,6 @@ status collapsed
\begin_layout Plain Layout
-
\backslash
ifupgreek
\end_layout
@@ -41601,7 +41685,6 @@ status collapsed
\begin_layout Plain Layout
-
\backslash
else
\end_layout
@@ -41641,7 +41724,6 @@ status collapsed
\begin_layout Plain Layout
-
\backslash
fi
\end_layout
@@ -42886,7 +42968,6 @@ status collapsed
\begin_layout Plain Layout
-
\backslash
AmS
\end_layout
--
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