From c05f819ce8b94018e7c1c6c55e13d39f785e3f83 Mon Sep 17 00:00:00 2001
From: =?utf8?q?Uwe=20St=C3=B6hr?= <uwestoehr@lyx.org>
Date: Sat, 23 Feb 2013 05:42:35 +0100
Subject: [PATCH] Math.lyx: 2 updates

- the column limit for decorated matrices does no longer exists
- add a note for \sideset
- formatting adjustments
---
 lib/doc/Math.lyx    | 804 ++++++++++++++++++++++---------------------
 lib/doc/de/Math.lyx | 735 ++++++++++++++++++++-------------------
 lib/doc/es/Math.lyx | 802 ++++++++++++++++++++++---------------------
 lib/doc/fr/Math.lyx | 821 ++++++++++++++++++++++----------------------
 lib/doc/ja/Math.lyx | 503 +++++++++++++--------------
 5 files changed, 1827 insertions(+), 1838 deletions(-)

diff --git a/lib/doc/Math.lyx b/lib/doc/Math.lyx
index 5acf7921fb..3947cd25f4 100644
--- a/lib/doc/Math.lyx
+++ b/lib/doc/Math.lyx
@@ -5826,44 +5826,6 @@ vmatrix
 Note that decorated matrices ignore the vertical alignment.
 \end_layout
 
-\begin_layout Standard
-\begin_inset Note Greyedout
-status open
-
-\begin_layout Plain Layout
-
-\series bold
-Note:
-\series default
- LaTeX limits the number of matrix columns with decorations to 10.
- If you need more than 10
-\begin_inset space ~
-\end_inset
-
-columns, you have to add this line to the document preamble:
-\end_layout
-
-\begin_layout Plain Layout
-
-\series bold
-
-\backslash
-setcounter{MaxMatrixCols}{number}
-\end_layout
-
-\begin_layout Plain Layout
-where 
-\emph on
-number
-\emph default
- is the number of columns between 11 and 99.
-\end_layout
-
-\end_inset
-
-
-\end_layout
-
 \begin_layout Standard
 \begin_inset VSpace bigskip
 \end_inset
@@ -10437,240 +10399,6 @@ In mathematical text, umlauts and other accented characters can directly
  be inserted.
 \end_layout
 
-\begin_layout Subsection
-Accents for Operators
-\begin_inset Index idx
-status collapsed
-
-\begin_layout Plain Layout
-Accents ! for operators
-\end_layout
-
-\end_inset
-
-
-\end_layout
-
-\begin_layout Standard
-With the commands 
-\series bold
-
-\backslash
-overset
-\series default
-
-\begin_inset Index idx
-status collapsed
-
-\begin_layout Plain Layout
-Commands ! O ! 
-\backslash
-overset
-\end_layout
-
-\end_inset
-
- and 
-\series bold
-
-\backslash
-underset
-\series default
-
-\begin_inset Index idx
-status collapsed
-
-\begin_layout Plain Layout
-Commands ! U ! 
-\backslash
-underset
-\end_layout
-
-\end_inset
-
- characters can be placed above or below an operator, respectively, to accent
- it.
- With the command 
-\series bold
-
-\backslash
-sideset
-\series default
-
-\begin_inset Index idx
-status collapsed
-
-\begin_layout Plain Layout
-Commands ! S ! 
-\backslash
-sideset
-\end_layout
-
-\end_inset
-
- characters can be set before and behind an operator.
- The command scheme is:
-\end_layout
-
-\begin_layout Standard
-
-\series bold
-
-\backslash
-sideset{character
-\series default
- 
-\series bold
-before}{character
-\series default
- 
-\series bold
-behind}
-\end_layout
-
-\begin_layout Standard
-
-\series bold
-
-\backslash
-sideset
-\series default
- must always be before the operator that should be accented.
- You can accent with several characters and even with other operators and
- symbols.
- To place with 
-\series bold
-
-\backslash
-sideset
-\series default
- for example only characters behind an operator, write nothing between the
- first braces but don't omit the braces.
-\end_layout
-
-\begin_layout Standard
-For example the command 
-\series bold
-
-\backslash
-sideset{
-\begin_inset Formula $\to$
-\end_inset
-
-
-\backslash
-{
-\series default
-'
-\series bold
-
-\begin_inset Formula $\to$
-\end_inset
-
-
-\backslash
-sum_k=1
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce 
-\end_layout
-
-\end_inset
-
-
-\series default
-^
-\series bold
-n
-\series default
- produces:
-\begin_inset Formula 
-\[
-\sideset{}{'}\sum_{k=1}^{n}
-\]
-
-\end_inset
-
-
-\end_layout
-
-\begin_layout Standard
-The command 
-\series bold
-
-\backslash
-overset
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce 
-\end_layout
-
-\end_inset
-
-
-\backslash
-maltese
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce 
-\end_layout
-
-\end_inset
-
-
-\series default
-
-\begin_inset Formula $\uparrow$
-\end_inset
-
-
-\series bold
-a
-\series default
- produces:
-\begin_inset Formula 
-\[
-\overset{a}{\maltese}
-\]
-
-\end_inset
-
-As seen in the last example, with 
-\series bold
-
-\backslash
-overset
-\series default
- and 
-\series bold
-
-\backslash
-underset
-\series default
- symbols and characters can also be accented; with 
-\series bold
-
-\backslash
-sideset
-\series default
- this is not possible.
-\end_layout
-
 \begin_layout Subsection
 Accents for several Characters
 \begin_inset Index idx
@@ -11180,6 +10908,13 @@ A=B
 \end_inset
 
 
+\end_layout
+
+\begin_layout Standard
+\begin_inset Newpage newpage
+\end_inset
+
+
 \end_layout
 
 \begin_layout Section
@@ -12861,6 +12596,13 @@ fbox
 .
 \end_layout
 
+\begin_layout Standard
+\begin_inset Newpage newpage
+\end_inset
+
+
+\end_layout
+
 \begin_layout Standard
 \align center
 \begin_inset Tabular
@@ -15515,6 +15257,19 @@ status collapsed
 Commands ! P ! 
 \backslash
 prod
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+
+\backslash
+vspace{4mm}
+\end_layout
+
+\end_inset
+
+
 \end_layout
 
 \end_inset
@@ -16128,6 +15883,13 @@ dotsint
 \end_inset
 
 
+\end_layout
+
+\begin_layout Standard
+\begin_inset Newpage newpage
+\end_inset
+
+
 \end_layout
 
 \begin_layout Subsection
@@ -16547,89 +16309,319 @@ To avoid this, the following macro can be used in the LaTeX-preamble:
 \series bold
 
 \backslash
-def
-\backslash
-clap#1{
-\backslash
-hbox to 0pt{
-\backslash
-hss #1
-\backslash
-hss}}
-\begin_inset Newline newline
-\end_inset
+def
+\backslash
+clap#1{
+\backslash
+hbox to 0pt{
+\backslash
+hss #1
+\backslash
+hss}}
+\begin_inset Newline newline
+\end_inset
+
+
+\backslash
+def
+\backslash
+mathclap {
+\backslash
+mathpalette 
+\backslash
+mathclapinternal}
+\begin_inset Newline newline
+\end_inset
+
+
+\backslash
+def
+\backslash
+mathclapinternal #1#2{
+\backslash
+clap{$
+\backslash
+mathsurround =0pt #1{#2}$}}
+\end_layout
+
+\begin_layout Standard
+This defines the command 
+\series bold
+
+\backslash
+mathclap
+\series default
+
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! M ! 
+\backslash
+mathclap
+\end_layout
+
+\end_inset
+
+ that sets the width of the limit to 0
+\begin_inset space \thinspace{}
+\end_inset
+
+pt.
+ The command scheme is
+\end_layout
+
+\begin_layout Standard
+
+\series bold
+
+\backslash
+mathclap{limit}
+\end_layout
+
+\begin_layout Standard
+where the limit can consist of several conditions.
+\end_layout
+
+\begin_layout Standard
+Applied on formula 
+\begin_inset CommandInset ref
+LatexCommand eqref
+reference "eq:substack"
+
+\end_inset
+
+, one uses the command
+\end_layout
+
+\begin_layout Standard
+
+\series bold
+
+\backslash
+sum_
+\backslash
+mathclap{
+\backslash
+substack
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+
+\backslash
+spce 
+\end_layout
+
+\end_inset
+
+0<k<1000 Ctrl+Return
+\end_layout
+
+\begin_layout Standard
+to create the lower limit.
+ The summand is now directly behind the summation operator:
+\begin_inset Formula 
+\[
+\sum_{\mathclap{\substack{0<k<1000\\
+\\
+k\,\in\,\mathbb{N}
+}
+}}^{n}k^{-2}
+\]
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+\begin_inset VSpace bigskip
+\end_inset
+
+How to use one limit for several operators is described in 
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "sub:Self-defined-Operators"
+
+\end_inset
+
+.
+\end_layout
+
+\begin_layout Subsection
+Decoration for Operators
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Operators ! Decoration
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+With the commands 
+\series bold
+
+\backslash
+overset
+\series default
+
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! O ! 
+\backslash
+overset
+\end_layout
+
+\end_inset
+
+ and 
+\series bold
+
+\backslash
+underset
+\series default
+
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! U ! 
+\backslash
+underset
+\end_layout
+
+\end_inset
+
+ characters can be placed above or below an operator, respectively.
+ With the command 
+\series bold
+
+\backslash
+sideset
+\series default
+
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! S ! 
+\backslash
+sideset
+\end_layout
+
+\end_inset
+
+ characters can be set before and behind a big operator.
+ The command scheme is:
+\end_layout
+
+\begin_layout Standard
+
+\series bold
+
+\backslash
+sideset{character
+\series default
+ 
+\series bold
+before}{character
+\series default
+ 
+\series bold
+behind}
+\end_layout
+
+\begin_layout Standard
+
+\series bold
+
+\backslash
+sideset
+\series default
+ must always be before the operator.
+ You can decorate with several characters and even with other operators
+ and symbols.
+ To place for example only characters behind a big operator, write nothing
+ between the first braces but don't omit the braces.
+\end_layout
 
+\begin_layout Standard
+For example the command 
+\series bold
 
 \backslash
-def
-\backslash
-mathclap {
-\backslash
-mathpalette 
-\backslash
-mathclapinternal}
-\begin_inset Newline newline
+sideset{
+\begin_inset Formula $\to$
 \end_inset
 
 
 \backslash
-def
-\backslash
-mathclapinternal #1#2{
-\backslash
-clap{$
-\backslash
-mathsurround =0pt #1{#2}$}}
-\end_layout
-
-\begin_layout Standard
-This defines the command 
+{
+\series default
+'
 \series bold
 
-\backslash
-mathclap
-\series default
+\begin_inset Formula $\to$
+\end_inset
 
-\begin_inset Index idx
+
+\backslash
+sum_k=1
+\begin_inset ERT
 status collapsed
 
 \begin_layout Plain Layout
-Commands ! M ! 
+
+
 \backslash
-mathclap
+spce 
 \end_layout
 
 \end_inset
 
- that sets the width of the limit to 0
-\begin_inset space \thinspace{}
+
+\series default
+^
+\series bold
+n
+\series default
+ produces:
+\begin_inset Formula 
+\[
+\sideset{}{'}\sum_{k=1}^{n}
+\]
+
 \end_inset
 
-pt.
- The command scheme is
+
 \end_layout
 
 \begin_layout Standard
+\begin_inset Note Greyedout
+status open
 
-\series bold
+\begin_layout Plain Layout
 
+\series bold
+Note: 
 \backslash
-mathclap{limit}
-\end_layout
-
-\begin_layout Standard
-where the limit can consist of several conditions.
+sideset
+\series default
+ can only be used to decorate big operators, binary operators are not allowed.
 \end_layout
 
-\begin_layout Standard
-Applied on formula 
-\begin_inset CommandInset ref
-LatexCommand eqref
-reference "eq:substack"
-
 \end_inset
 
-, one uses the command
+
 \end_layout
 
 \begin_layout Standard
@@ -16637,11 +16629,20 @@ reference "eq:substack"
 \series bold
 
 \backslash
-sum_
+overset
+\series default
+ and 
+\series bold
+
 \backslash
-mathclap{
+underset
+\series default
+ can also be used to decorate symbols and characters.
+ For example, the command 
+\series bold
+
 \backslash
-substack
+overset
 \begin_inset ERT
 status collapsed
 
@@ -16654,42 +16655,37 @@ spce
 
 \end_inset
 
-0<k<1000 Ctrl+Return
-\end_layout
 
-\begin_layout Standard
-to create the lower limit.
- The summand is now directly behind the summation operator:
-\begin_inset Formula 
-\[
-\sum_{\mathclap{\substack{0<k<1000\\
-\\
-k\,\in\,\mathbb{N}
-}
-}}^{n}k^{-2}
-\]
+\backslash
+maltese
+\begin_inset ERT
+status collapsed
 
-\end_inset
+\begin_layout Plain Layout
 
 
+\backslash
+spce 
 \end_layout
 
-\begin_layout Standard
-\begin_inset VSpace bigskip
 \end_inset
 
-How to use one limit for several operators is described in 
-\begin_inset CommandInset ref
-LatexCommand ref
-reference "sub:Self-defined-Operators"
 
+\series default
+
+\begin_inset Formula $\uparrow$
 \end_inset
 
-.
-\end_layout
 
-\begin_layout Standard
-\begin_inset Newpage newpage
+\series bold
+a
+\series default
+ produces:
+\begin_inset Formula 
+\[
+\overset{a}{\maltese}
+\]
+
 \end_inset
 
 
@@ -21202,13 +21198,6 @@ theta
 \end_inset
 
 
-\end_layout
-
-\begin_layout Standard
-\begin_inset Newpage newpage
-\end_inset
-
-
 \end_layout
 
 \begin_layout Section
@@ -27972,13 +27961,6 @@ textdegree
 fi}
 \end_layout
 
-\begin_layout Standard
-\begin_inset Newpage newpage
-\end_inset
-
-
-\end_layout
-
 \begin_layout Section
 Formula Styles
 \begin_inset CommandInset label
@@ -29946,13 +29928,6 @@ I & =a\sqrt{2}\int_{0}^{2\pi}\sqrt{1+\cos(\phi)}\;\mathrm{d}\phi\\
 \end_inset
 
 
-\end_layout
-
-\begin_layout Standard
-\begin_inset Newpage newpage
-\end_inset
-
-
 \end_layout
 
 \begin_layout Section
@@ -31720,6 +31695,13 @@ target "run:Formula-numbering.lyx"
 .
 \end_layout
 
+\begin_layout Standard
+\begin_inset Newpage newpage
+\end_inset
+
+
+\end_layout
+
 \begin_layout Section
 Chemical Symbols and Equations
 \begin_inset CommandInset label
@@ -32384,7 +32366,27 @@ Note:
 \backslash
 ce
 \series default
- box will lead to LaTeX errors.
+ box will lead to LaTeX errors due to a LyX bug.
+\color inherit
+
+\begin_inset Foot
+status collapsed
+
+\begin_layout Plain Layout
+\begin_inset CommandInset href
+LatexCommand href
+name "LyX-bug #8566"
+target "http://www.lyx.org/trac/ticket/8566"
+
+\end_inset
+
+
+\end_layout
+
+\end_inset
+
+
+\color none
  In this case TeX code has to be used like for 
 \series bold
 
@@ -33041,6 +33043,13 @@ Manuals
 .
 \end_layout
 
+\begin_layout Standard
+\begin_inset Newpage newpage
+\end_inset
+
+
+\end_layout
+
 \begin_layout Section
 User-defined Commands
 \begin_inset Index idx
@@ -34781,7 +34790,7 @@ LyX Functions
 \end_inset
 
 g.
-\begin_inset space ~
+\begin_inset space \space{}
 \end_inset
 
 bind the 
@@ -34802,20 +34811,13 @@ Maxima
 command-alternatives break-paragraph;math-extern maxima
 \end_layout
 
-\begin_layout Standard
-\begin_inset Newpage newpage
-\end_inset
-
-
-\end_layout
-
 \begin_layout Section
-Tips
+Miscellaneous
 \begin_inset Index idx
 status collapsed
 
 \begin_layout Plain Layout
-Tips
+Miscellaneous
 \end_layout
 
 \end_inset
@@ -35358,6 +35360,19 @@ status collapsed
 Commands ! G ! 
 \backslash
 genfrac
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+
+\backslash
+vspace{4mm}
+\end_layout
+
+\end_inset
+
+
 \end_layout
 
 \end_inset
@@ -35618,13 +35633,6 @@ fracS}[3][]{
 genfrac{}{}{#1}{}{#2}{#3}}
 \end_layout
 
-\begin_layout Standard
-\begin_inset Newpage newpage
-\end_inset
-
-
-\end_layout
-
 \begin_layout Standard
 A test:
 \begin_inset Formula 
@@ -36144,6 +36152,13 @@ fi
 \end_inset
 
 
+\end_layout
+
+\begin_layout Standard
+\begin_inset Newpage newpage
+\end_inset
+
+
 \end_layout
 
 \begin_layout Subsection
@@ -37069,13 +37084,6 @@ fi
 \end_inset
 
 
-\end_layout
-
-\begin_layout Standard
-\begin_inset Newpage newpage
-\end_inset
-
-
 \end_layout
 
 \begin_layout Subsection
diff --git a/lib/doc/de/Math.lyx b/lib/doc/de/Math.lyx
index eb6b708177..3af129311e 100644
--- a/lib/doc/de/Math.lyx
+++ b/lib/doc/de/Math.lyx
@@ -690,7 +690,10 @@ Eigennamen
 \end_inset
 
 , die im Ausdruck mit hoch bzw.
- tief gestellten Großbuchstaben erscheinen: TeX, LaTeX und LyX
+\begin_inset space \space{}
+\end_inset
+
+tief gestellten Großbuchstaben erscheinen: TeX, LaTeX und LyX
 \end_layout
 
 \begin_layout Plain Layout
@@ -761,12 +764,24 @@ Tabellen-Werkzeugleiste
  verwenden.
  Beim Vertauschen von Zeilen und Spalten mit Hilfe dieses Menüs wird immer
  die Spalte bzw.
- Zeile, in der der Cursor steht, mit der rechts daneben stehenden Spalte
+\begin_inset space \space{}
+\end_inset
+
+Zeile, in der der Cursor steht, mit der rechts daneben stehenden Spalte
  bzw.
- darunter liegenden Zeile vertauscht.
+\begin_inset space \space{}
+\end_inset
+
+darunter liegenden Zeile vertauscht.
  Befindet sich der Cursor in der letzten Spalte bzw.
- Zeile, wird mit der links daneben stehenden Spalte bzw.
- darüber liegenden Zeile vertauscht.
+\begin_inset space \space{}
+\end_inset
+
+Zeile, wird mit der links daneben stehenden Spalte bzw.
+\begin_inset space \space{}
+\end_inset
+
+darüber liegenden Zeile vertauscht.
 \end_layout
 
 \begin_layout Standard
@@ -2632,7 +2647,10 @@ uproot
 leftroot{Abstand}
 \series default
  bzw.
- 
+\begin_inset space \space{}
+\end_inset
+
+
 \series bold
 
 \backslash
@@ -2645,7 +2663,10 @@ Abstand ist die Anzahl der Big Points (Einheit bp;
 \end_inset
 
 ), um die der Index nach links bzw.
- nach oben verschoben werden soll.
+\begin_inset space \space{}
+\end_inset
+
+nach oben verschoben werden soll.
  Die Befehle werden in den Index geschrieben.
  So ergibt der Befehl
 \begin_inset Newline newline
@@ -5808,45 +5829,6 @@ vmatrix
 Man beachte, dass verzierte Matrizen die vertikale Ausrichtung ignorieren.
 \end_layout
 
-\begin_layout Standard
-\begin_inset Note Greyedout
-status open
-
-\begin_layout Plain Layout
-
-\series bold
-Achtung:
-\series default
- LaTeX limitiert die Anzahl der Matrizenspalten auf 10.
- Wenn man mehr als 10
-\begin_inset space ~
-\end_inset
-
-Spalten benötigt, muss folgende Zeile in die Dokument-Präambel eingefügt
- werden:
-\end_layout
-
-\begin_layout Plain Layout
-
-\series bold
-
-\backslash
-setcounter{MaxMatrixCols}{Anzahl}
-\end_layout
-
-\begin_layout Plain Layout
-wobei 
-\emph on
-Anzahl
-\emph default
- die Anzahl der Spalten zwischen 11 und 99 ist.
-\end_layout
-
-\end_inset
-
-
-\end_layout
-
 \begin_layout Standard
 \begin_inset VSpace bigskip
 \end_inset
@@ -8136,13 +8118,6 @@ reference "sub:Zeilenabstand"
  erklärt.
 \end_layout
 
-\begin_layout Standard
-\begin_inset Newpage newpage
-\end_inset
-
-
-\end_layout
-
 \begin_layout Section
 Pfeile
 \begin_inset Index idx
@@ -9141,13 +9116,6 @@ F(a)
 \end_inset
 
 
-\end_layout
-
-\begin_layout Standard
-\begin_inset Newpage newpage
-\end_inset
-
-
 \end_layout
 
 \begin_layout Subsection
@@ -10434,251 +10402,6 @@ Im mathematischen Textmodus können Umlaute und andere akzentuierten Zeichen
  direkt eingegeben werden.
 \end_layout
 
-\begin_layout Subsection
-Akzente für Operatoren
-\begin_inset Index idx
-status collapsed
-
-\begin_layout Plain Layout
-Akzente ! für Operatoren
-\end_layout
-
-\end_inset
-
-
-\end_layout
-
-\begin_layout Standard
-Zum Akzentuieren von Operatoren gibt es die Befehle 
-\series bold
-
-\backslash
-overset
-\series default
-
-\begin_inset Index idx
-status collapsed
-
-\begin_layout Plain Layout
-Befehle ! O ! 
-\backslash
-overset
-\end_layout
-
-\end_inset
-
- und 
-\series bold
-
-\backslash
-underset
-\series default
-
-\begin_inset Index idx
-status collapsed
-
-\begin_layout Plain Layout
-Befehle ! U ! 
-\backslash
-underset
-\end_layout
-
-\end_inset
-
-, mit denen man Zeichen über bzw.
- unter einen Operator setzen kann.
- Mit dem Befehl 
-\series bold
-
-\backslash
-sideset
-\series default
-
-\begin_inset Index idx
-status collapsed
-
-\begin_layout Plain Layout
-Befehle ! S ! 
-\backslash
-sideset
-\end_layout
-
-\end_inset
-
- können Zeichen vor und nach einen Operator gesetzt werden.
- Das Befehlsschema lautet:
-\end_layout
-
-\begin_layout Standard
-
-\series bold
-
-\backslash
-sideset{Zeichen
-\series default
- 
-\series bold
-davor}{Zeichen
-\series default
- 
-\series bold
-dahinter}
-\end_layout
-
-\begin_layout Standard
-
-\series bold
-
-\backslash
-sideset
-\series default
- muss immer vor dem zu akzentuierenden Operator stehen.
- Es kann auch mit mehreren Zeichen und sogar mit anderen Operatoren und
- Symbolen akzentuiert werden.
- Will man mit 
-\series bold
-
-\backslash
-sideset
-\series default
- z.
-\begin_inset space \thinspace{}
-\end_inset
-
-B.
- nur Zeichen hinter einen Operator setzen, schreibt man nichts zwischen
- die ersten geschweiften Klammern, lässt die Klammern aber nicht weg.
-\end_layout
-
-\begin_layout Standard
-Z.
-\begin_inset space \thinspace{}
-\end_inset
-
-B.
- ergibt der Befehl 
-\series bold
-
-\backslash
-sideset{
-\begin_inset Formula $\to$
-\end_inset
-
-
-\backslash
-{
-\series default
-'
-\series bold
-
-\begin_inset Formula $\to$
-\end_inset
-
-
-\backslash
-sum_k=1
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer 
-\end_layout
-
-\end_inset
-
-
-\series default
-^
-\series bold
-n
-\series default
- :
-\begin_inset Formula 
-\[
-\sideset{}{'}\sum_{k=1}^{n}
-\]
-
-\end_inset
-
-
-\end_layout
-
-\begin_layout Standard
-Der Befehl 
-\series bold
-
-\backslash
-overset
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer 
-\end_layout
-
-\end_inset
-
-
-\backslash
-maltese
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer 
-\end_layout
-
-\end_inset
-
-
-\series default
-
-\begin_inset Formula $\uparrow$
-\end_inset
-
-
-\series bold
-a
-\series default
- ergibt:
-\begin_inset Formula 
-\[
-\overset{a}{\maltese}
-\]
-
-\end_inset
-
-Wie man am letzten Beispiel sieht, kann man mit 
-\series bold
-
-\backslash
-overset
-\series default
- bzw.
- 
-\series bold
-
-\backslash
-underset
-\series default
- außer Operatoren auch Symbole und Zeichen akzentuieren; mit 
-\series bold
-
-\backslash
-sideset
-\series default
- ist dies nicht möglich.
-\end_layout
-
 \begin_layout Subsection
 Akzente für mehrere Zeichen
 \begin_inset Index idx
@@ -14460,13 +14183,6 @@ Zeichen}
  verwendet.
 \end_layout
 
-\begin_layout Standard
-\begin_inset Newpage newpage
-\end_inset
-
-
-\end_layout
-
 \begin_layout Subsection
 Absatzboxen
 \begin_inset CommandInset label
@@ -16167,7 +15883,10 @@ Operatoren ! Grenzen
 
 \begin_layout Standard
 Grenzen werden durch Hoch- bzw.
- Tiefstellen erzeugt:
+\begin_inset space \space{}
+\end_inset
+
+Tiefstellen erzeugt:
 \end_layout
 
 \begin_layout Standard
@@ -16273,7 +15992,10 @@ Bei einer Formel in einer Textzeile werden die Grenzen rechts neben den
  Operator gesetzt.
  In einer abgesetzten Formel werden, außer bei Integralen, die Grenzen über
  bzw.
- unter den Operator gesetzt.
+\begin_inset space \space{}
+\end_inset
+
+unter den Operator gesetzt.
 \end_layout
 
 \begin_layout Standard
@@ -16694,6 +16416,272 @@ reference "sub:Selbstdefinierte-Operatoren"
  ist beschrieben, wie man eine Grenze für mehrere Operatoren verwenden kann.
 \end_layout
 
+\begin_layout Subsection
+Dekoration für Operatoren
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Operatoren ! Dekoration
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+Zum Dekorieren von Operatoren gibt es die Befehle 
+\series bold
+
+\backslash
+overset
+\series default
+
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Befehle ! O ! 
+\backslash
+overset
+\end_layout
+
+\end_inset
+
+ und 
+\series bold
+
+\backslash
+underset
+\series default
+
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Befehle ! U ! 
+\backslash
+underset
+\end_layout
+
+\end_inset
+
+, mit denen man Zeichen über bzw.
+\begin_inset space \space{}
+\end_inset
+
+unter einen Operator setzen kann.
+ Mit dem Befehl 
+\series bold
+
+\backslash
+sideset
+\series default
+
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Befehle ! S ! 
+\backslash
+sideset
+\end_layout
+
+\end_inset
+
+ können Zeichen vor und nach einen großen Operator gesetzt werden.
+ Das Befehlsschema lautet:
+\end_layout
+
+\begin_layout Standard
+
+\series bold
+
+\backslash
+sideset{Zeichen
+\series default
+ 
+\series bold
+davor}{Zeichen
+\series default
+ 
+\series bold
+dahinter}
+\end_layout
+
+\begin_layout Standard
+
+\series bold
+
+\backslash
+sideset
+\series default
+ muss immer vor dem Operator stehen.
+ Es kann auch mit mehreren Zeichen und sogar mit anderen Operatoren und
+ Symbolen dekoriert werden.
+ Will man mit 
+\series bold
+
+\backslash
+sideset
+\series default
+ z.
+\begin_inset space \thinspace{}
+\end_inset
+
+B.
+ nur Zeichen hinter einen großen Operator setzen, schreibt man nichts zwischen
+ die ersten geschweiften Klammern, lässt die Klammern aber nicht weg.
+\end_layout
+
+\begin_layout Standard
+Z.
+\begin_inset space \thinspace{}
+\end_inset
+
+B.
+ ergibt der Befehl 
+\series bold
+
+\backslash
+sideset{
+\begin_inset Formula $\to$
+\end_inset
+
+
+\backslash
+{
+\series default
+'
+\series bold
+
+\begin_inset Formula $\to$
+\end_inset
+
+
+\backslash
+sum_k=1
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+
+\backslash
+leer 
+\end_layout
+
+\end_inset
+
+
+\series default
+^
+\series bold
+n
+\series default
+ :
+\begin_inset Formula 
+\[
+\sideset{}{'}\sum_{k=1}^{n}
+\]
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+\begin_inset Note Greyedout
+status open
+
+\begin_layout Plain Layout
+
+\series bold
+Achtung: 
+\backslash
+sideset
+\series default
+ kann nur für die Dekoration von großen Operatoren verwendet werden, binäre
+ Operatoren sind nicht erlaubt.
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+Mit 
+\series bold
+
+\backslash
+overset
+\series default
+ bzw.
+\begin_inset space \space{}
+\end_inset
+
+
+\series bold
+
+\backslash
+underset
+\series default
+ kann man auch Symbole und Zeichen dekorieren.
+ Beispielsweise ergibt der Befehl 
+\series bold
+
+\backslash
+overset
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+
+\backslash
+leer 
+\end_layout
+
+\end_inset
+
+
+\backslash
+maltese
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+
+\backslash
+leer 
+\end_layout
+
+\end_inset
+
+
+\series default
+
+\begin_inset Formula $\uparrow$
+\end_inset
+
+
+\series bold
+a
+\series default
+ :
+\begin_inset Formula 
+\[
+\overset{a}{\maltese}
+\]
+
+\end_inset
+
+
+\end_layout
+
 \begin_layout Subsection
 Binäre Operatoren
 \begin_inset CommandInset label
@@ -18009,7 +17997,10 @@ mathbin
 mathop{Anzeige}
 \series default
  bzw.
- 
+\begin_inset space \space{}
+\end_inset
+
+
 \series bold
 
 \backslash
@@ -18111,6 +18102,13 @@ leer
 _i,j=1
 \end_layout
 
+\begin_layout Standard
+\begin_inset Newpage newpage
+\end_inset
+
+
+\end_layout
+
 \begin_layout Section
 Schriften
 \begin_inset Index idx
@@ -21185,13 +21183,6 @@ theta
 \end_inset
 
 
-\end_layout
-
-\begin_layout Standard
-\begin_inset Newpage newpage
-\end_inset
-
-
 \end_layout
 
 \begin_layout Section
@@ -24716,7 +24707,10 @@ Die Zeichen
 lhd
 \series default
  bzw.
- 
+\begin_inset space \space{}
+\end_inset
+
+
 \series bold
 
 \backslash
@@ -24733,7 +24727,10 @@ rhd
 triangleleft
 \series default
  bzw.
- 
+\begin_inset space \space{}
+\end_inset
+
+
 \series bold
 
 \backslash
@@ -26042,13 +26039,6 @@ In einer abgesetzten Formel steht der Grenzwert wie gewohnt darunter:
 \end_inset
 
 
-\end_layout
-
-\begin_layout Standard
-\begin_inset Newpage newpage
-\end_inset
-
-
 \end_layout
 
 \begin_layout Subsection
@@ -26387,7 +26377,10 @@ Der Leerraum von 0
 \end_inset
 
 mm dient nur zur Trennung,da sonst im Ausdruck ¡ bzw.
- ¿ erscheinen würde.
+\begin_inset space \space{}
+\end_inset
+
+¿ erscheinen würde.
 \end_layout
 
 \end_inset
@@ -28247,7 +28240,7 @@ fe
 \end_inset
 
  bzw.
-\begin_inset space ~
+\begin_inset space \space{}
 \end_inset
 
 
@@ -29164,7 +29157,7 @@ e
 \end_inset
 
  bzw.
-\begin_inset space ~
+\begin_inset space \space{}
 \end_inset
 
 
@@ -29580,7 +29573,10 @@ shoveleft
 \end_inset
 
  kann eine zentrierte Zeile rechts bzw.
- links ausgerichtet werden.
+\begin_inset space \space{}
+\end_inset
+
+links ausgerichtet werden.
  Die Befehle werden folgendermaßen verwendet:
 \end_layout
 
@@ -29592,7 +29588,10 @@ shoveleft
 shoveright{Zeileninhalt}
 \series default
  bzw.
- 
+\begin_inset space \space{}
+\end_inset
+
+
 \series bold
 
 \backslash
@@ -29866,7 +29865,10 @@ gathered
 \end_inset
 
  bzw.
- 
+\begin_inset space \space{}
+\end_inset
+
+
 \series bold
 
 \backslash
@@ -32855,13 +32857,6 @@ status collapsed
  Zeilen der Formel eingegeben.
 \end_layout
 
-\begin_layout Standard
-\begin_inset Newpage pagebreak
-\end_inset
-
-
-\end_layout
-
 \begin_layout Standard
 Zum Erstellen der Beziehungen gibt es folgende Befehle:
 \end_layout
@@ -32913,16 +32908,28 @@ Alle Pfeile sind wie folgt beschriftbar:
 
 \begin_layout Itemize
 Wird bei horizontalen Pfeilen zwischen dem ersten und zweiten < bzw.
- > Text eingegeben, erscheint er über dem Pfeil.
+\begin_inset space \space{}
+\end_inset
+
+> Text eingegeben, erscheint er über dem Pfeil.
  Wird der Text zwischen dem zweiten und dritten < bzw.
- > eingegeben, erscheint er unter dem Pfeil.
+\begin_inset space \space{}
+\end_inset
+
+> eingegeben, erscheint er unter dem Pfeil.
 \end_layout
 
 \begin_layout Itemize
 Wird bei vertikalen Pfeilen Text zwischen erstem und zweitem A bzw.
- V eingegeben, erscheint er links neben dem Pfeil.
+\begin_inset space \space{}
+\end_inset
+
+V eingegeben, erscheint er links neben dem Pfeil.
  Bei Eingabe zwischen zweitem und drittem A bzw.
- V erscheint er rechts daneben.
+\begin_inset space \space{}
+\end_inset
+
+V erscheint er rechts daneben.
  Enthält der Text ein A oder V, müssen diese Buchstaben in eine TeX-Klammer
  gesetzt werden.
 \end_layout
@@ -33171,6 +33178,13 @@ Handbücher
  zu finden ist.
 \end_layout
 
+\begin_layout Standard
+\begin_inset Newpage newpage
+\end_inset
+
+
+\end_layout
+
 \begin_layout Section
 Benutzerdefinierte Befehle
 \begin_inset CommandInset label
@@ -34866,20 +34880,13 @@ Maxima
 command-alternatives break-paragraph;math-extern maxima
 \end_layout
 
-\begin_layout Standard
-\begin_inset Newpage newpage
-\end_inset
-
-
-\end_layout
-
 \begin_layout Section
-Tipps
+Verschiedenes
 \begin_inset Index idx
 status collapsed
 
 \begin_layout Plain Layout
-Tipps
+Verschiedenes
 \end_layout
 
 \end_inset
@@ -35176,13 +35183,6 @@ braket
 \end_inset
 
 
-\end_layout
-
-\begin_layout Standard
-\begin_inset Newpage newpage
-\end_inset
-
-
 \end_layout
 
 \begin_layout Standard
@@ -37556,11 +37556,8 @@ F
 Einfügen\SpecialChar \menuseparator
 Sonderzeichen\SpecialChar \menuseparator
 Symbole\SpecialChar \menuseparator
-Buchstabenähnliche
-\begin_inset space ~
-\end_inset
-
-Symbole
+Buchsta\SpecialChar \-
+benähnliche Symbole
 \family default
  eingefügt werden: 
 \begin_inset Formula $\mathscr{F}$
diff --git a/lib/doc/es/Math.lyx b/lib/doc/es/Math.lyx
index d0550b43d5..d279a42b2b 100644
--- a/lib/doc/es/Math.lyx
+++ b/lib/doc/es/Math.lyx
@@ -5813,44 +5813,6 @@ Hay que tener en cuenta que las matrices decoradas ignoran el alineamiento
  vertical.
 \end_layout
 
-\begin_layout Standard
-\begin_inset Note Greyedout
-status open
-
-\begin_layout Plain Layout
-
-\series bold
-Nota:
-\series default
- LaTeX limita el número de columnas de matrices con decoraciones a 10.
- Si necesitas más de 10
-\begin_inset space ~
-\end_inset
-
-columnas, debes añadir la siguiente línea en el preámbulo del documento:
-\end_layout
-
-\begin_layout Plain Layout
-
-\series bold
-
-\backslash
-setcounter{MaxMatrixCols}{número}
-\end_layout
-
-\begin_layout Plain Layout
-donde 
-\emph on
-número
-\emph default
- es el número de columnas entre 11 y 99.
-\end_layout
-
-\end_inset
-
-
-\end_layout
-
 \begin_layout Standard
 \begin_inset VSpace bigskip
 \end_inset
@@ -10522,253 +10484,6 @@ cursiva o negrita.
 En texto matemático, la diéresis y otros acentos pueden insertarse directamente.
 \end_layout
 
-\begin_layout Subsection
-Acentos para operadores
-\begin_inset Index idx
-status collapsed
-
-\begin_layout Plain Layout
-Acentos ! en operadores
-\end_layout
-
-\end_inset
-
-
-\end_layout
-
-\begin_layout Standard
-Con los comandos 
-\series bold
-
-\backslash
-overset
-\series default
-
-\begin_inset Index idx
-status collapsed
-
-\begin_layout Plain Layout
-Comandos ! O ! 
-\backslash
-overset
-\end_layout
-
-\end_inset
-
- y 
-\series bold
-
-\backslash
-underset
-\series default
-
-\begin_inset Index idx
-status collapsed
-
-\begin_layout Plain Layout
-Comandos ! U ! 
-\backslash
-underset
-\end_layout
-
-\end_inset
-
- se pueden colocar caracteres sobre o bajo un operador, respectivamente.
- Con el comando 
-\series bold
-
-\backslash
-sideset
-\series default
-
-\begin_inset Index idx
-status collapsed
-
-\begin_layout Plain Layout
-Comandos ! S ! 
-\backslash
-sideset
-\end_layout
-
-\end_inset
-
- se pueden poner caracteres delante y detrás de un operador.
- El esquema del comando es:
-\end_layout
-
-\begin_layout Standard
-
-\series bold
-
-\backslash
-sideset{carácter
-\series default
- 
-\series bold
-anterior}{carácter posterior}
-\end_layout
-
-\begin_layout Standard
-
-\series bold
-
-\backslash
-sideset
-\series default
- siempre debe estar delante del operador que debe acentuarse.
- Se puede acentuar con varios caracteres e incluso con otros operadores
- y símbolos.
- Para colocar con
-\series bold
- 
-\backslash
-sideset
-\series default
- caracteres sólo detrás del operador, por ejemplo, no se escribe nada en
- el primer par de llaves, pero sin quitarlas.
- 
-\end_layout
-
-\begin_layout Standard
-Por ejemplo, el comando 
-\series bold
-
-\backslash
-sideset{
-\begin_inset Formula $\to$
-\end_inset
-
-
-\backslash
-{
-\series default
-'
-\series bold
-
-\begin_inset Formula $\to$
-\end_inset
-
-
-\backslash
-sum_k=1
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce 
-\end_layout
-
-\end_inset
-
-
-\series default
-^
-\series bold
-
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce 
-\end_layout
-
-\end_inset
-
-n
-\series default
- genera:
-\begin_inset Formula 
-\[
-\sideset{}{'}\sum_{k=1}^{n}
-\]
-
-\end_inset
-
-
-\end_layout
-
-\begin_layout Standard
-El comando 
-\series bold
-
-\backslash
-overset
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce 
-\end_layout
-
-\end_inset
-
-
-\backslash
-maltese
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce 
-\end_layout
-
-\end_inset
-
-
-\series default
-
-\begin_inset Formula $\uparrow$
-\end_inset
-
-
-\series bold
-a
-\series default
- genera:
-\begin_inset Formula 
-\[
-\overset{a}{\maltese}
-\]
-
-\end_inset
-
-
-\end_layout
-
-\begin_layout Standard
-Como se ve en el último ejemplo, con 
-\series bold
-
-\backslash
-overset
-\series default
- y 
-\series bold
-
-\backslash
-underset
-\series default
- también se pueden acentuar símbolos y caracteres; con 
-\series bold
-
-\backslash
-sideset
-\series default
- esto no es posible.
-\end_layout
-
 \begin_layout Subsection
 Acentos para varios caracteres
 \begin_inset Index idx
@@ -12946,15 +12661,6 @@ fbox
 .
 \end_layout
 
-\begin_layout Standard
-\noindent
-\align center
-\begin_inset Newpage newpage
-\end_inset
-
-
-\end_layout
-
 \begin_layout Standard
 \noindent
 \align center
@@ -13399,7 +13105,7 @@ name "sub:Marcos-sin-bordes"
 
 
 \begin_inset Index idx
-status open
+status collapsed
 
 \begin_layout Plain Layout
 Marcos ! sin borde
@@ -13728,7 +13434,7 @@ name "sub:Marcos-coloreados"
 
 
 \begin_inset Index idx
-status open
+status collapsed
 
 \begin_layout Plain Layout
 Marcos ! coloreados
@@ -14777,6 +14483,19 @@ status collapsed
 Comandos ! L ! 
 \backslash
 linewidth
+\begin_inset ERT
+status open
+
+\begin_layout Plain Layout
+
+
+\backslash
+vspace{5mm}
+\end_layout
+
+\end_inset
+
+
 \end_layout
 
 \end_inset
@@ -15959,13 +15678,6 @@ correcto:
 \end_inset
 
 
-\end_layout
-
-\begin_layout Standard
-\begin_inset Newpage pagebreak
-\end_inset
-
-
 \end_layout
 
 \begin_layout Standard
@@ -16628,11 +16340,240 @@ reference "eq:substack"
 
 \end_inset
 
-, porque éstos se colocan junto a los límites.
+, porque éstos se colocan junto a los límites.
+\end_layout
+
+\begin_layout Standard
+Para evitarlo se puede usar la siguiente macro en el preámbulo:
+\end_layout
+
+\begin_layout Standard
+
+\series bold
+
+\backslash
+def
+\backslash
+clap#1{
+\backslash
+hbox to 0pt{
+\backslash
+hss #1
+\backslash
+hss}}
+\begin_inset Newline newline
+\end_inset
+
+
+\backslash
+def
+\backslash
+mathclap {
+\backslash
+mathpalette 
+\backslash
+mathclapinternal}
+\begin_inset Newline newline
+\end_inset
+
+
+\backslash
+def
+\backslash
+mathclapinternal #1#2{
+\backslash
+clap{$
+\backslash
+mathsurround =0pt #1{#2}$}}
+\end_layout
+
+\begin_layout Standard
+En ella se define el comando 
+\series bold
+
+\backslash
+mathclap
+\series default
+
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Comandos ! M ! 
+\backslash
+mathclap
+\end_layout
+
+\end_inset
+
+ que establece la anchura del límite en 0
+\begin_inset space \thinspace{}
+\end_inset
+
+pt.
+ El esquema del comando es:
+\end_layout
+
+\begin_layout Standard
+
+\series bold
+
+\backslash
+mathclap{límite}
+\end_layout
+
+\begin_layout Standard
+donde el límite puede consistir en varias condiciones.
+\end_layout
+
+\begin_layout Standard
+Aplicado en la ecuación 
+\begin_inset CommandInset ref
+LatexCommand eqref
+reference "eq:substack"
+
+\end_inset
+
+ se usa el comando
+\end_layout
+
+\begin_layout Standard
+
+\series bold
+
+\backslash
+sum_
+\backslash
+mathclap{
+\backslash
+substack
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+
+\backslash
+spce 
+\end_layout
+
+\end_inset
+
+0<k<1000 Ctrl+Entrar
+\end_layout
+
+\begin_layout Standard
+para componer el límite inferior.
+ Ahora el sumando está junto al sumatorio:
+\begin_inset Formula 
+\[
+\sum_{\mathclap{\substack{0<k<1000\\
+\\
+k\,\in\,\mathbb{N}
+}
+}}^{n}k^{-2}
+\]
+
+\end_inset
+
+
+\begin_inset VSpace bigskip
+\end_inset
+
+Cómo utilizar un límite para varios operadores se describe en la 
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "sub:Operadores-de-usuario"
+
+\end_inset
+
+.
+\end_layout
+
+\begin_layout Subsection
+Decoración para operadores
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Operadores ! Decoración
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+Con los comandos 
+\series bold
+
+\backslash
+overset
+\series default
+
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Comandos ! O ! 
+\backslash
+overset
+\end_layout
+
+\end_inset
+
+ y 
+\series bold
+
+\backslash
+underset
+\series default
+
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Comandos ! U ! 
+\backslash
+underset
+\end_layout
+
+\end_inset
+
+ se pueden colocar caracteres sobre o bajo un operador, respectivamente.
+ Con el comando 
+\series bold
+
+\backslash
+sideset
+\series default
+
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Comandos ! S ! 
+\backslash
+sideset
+\end_layout
+
+\end_inset
+
+ se pueden poner caracteres delante y detrás de un operador grandes.
+ El esquema del comando es:
 \end_layout
 
 \begin_layout Standard
-Para evitarlo se puede usar la siguiente macro en el preámbulo:
+
+\series bold
+
+\backslash
+sideset{carácter
+\series default
+ 
+\series bold
+anterior}{carácter posterior}
 \end_layout
 
 \begin_layout Standard
@@ -16640,101 +16581,132 @@ Para evitarlo se puede usar la siguiente macro en el preámbulo:
 \series bold
 
 \backslash
-def
-\backslash
-clap#1{
-\backslash
-hbox to 0pt{
+sideset
+\series default
+ siempre debe estar delante del operador.
+ Se puede decorar con varios caracteres e incluso con otros operadores y
+ símbolos.
+ Para colocar con
+\series bold
+ 
 \backslash
-hss #1
+sideset
+\series default
+ caracteres sólo detrás del operador grandes, por ejemplo, no se escribe
+ nada en el primer par de llaves, pero sin quitarlas.
+ 
+\end_layout
+
+\begin_layout Standard
+Por ejemplo, el comando 
+\series bold
+
 \backslash
-hss}}
-\begin_inset Newline newline
+sideset{
+\begin_inset Formula $\to$
 \end_inset
 
 
 \backslash
-def
-\backslash
-mathclap {
-\backslash
-mathpalette 
-\backslash
-mathclapinternal}
-\begin_inset Newline newline
+{
+\series default
+'
+\series bold
+
+\begin_inset Formula $\to$
 \end_inset
 
 
 \backslash
-def
-\backslash
-mathclapinternal #1#2{
-\backslash
-clap{$
+sum_k=1
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+
 \backslash
-mathsurround =0pt #1{#2}$}}
+spce 
 \end_layout
 
-\begin_layout Standard
-En ella se define el comando 
-\series bold
+\end_inset
+
 
-\backslash
-mathclap
 \series default
+^
+\series bold
 
-\begin_inset Index idx
+\begin_inset ERT
 status collapsed
 
 \begin_layout Plain Layout
-Comandos ! M ! 
+
+
 \backslash
-mathclap
+spce 
 \end_layout
 
 \end_inset
 
- que establece la anchura del límite en 0
-\begin_inset space \thinspace{}
+n
+\series default
+ genera:
+\begin_inset Formula 
+\[
+\sideset{}{'}\sum_{k=1}^{n}
+\]
+
 \end_inset
 
-pt.
- El esquema del comando es:
+
 \end_layout
 
 \begin_layout Standard
+\begin_inset Note Greyedout
+status open
 
-\series bold
+\begin_layout Plain Layout
 
+\series bold
+Nota: 
 \backslash
-mathclap{límite}
-\end_layout
-
-\begin_layout Standard
-donde el límite puede consistir en varias condiciones.
+sideset
+\series default
+ 
+\lang english
+can only be used
+\lang spanish
+ para decorar operador grandes, operadores binarios 
+\lang english
+are not allowed
+\lang spanish
+.
 \end_layout
 
-\begin_layout Standard
-Aplicado en la ecuación 
-\begin_inset CommandInset ref
-LatexCommand eqref
-reference "eq:substack"
-
 \end_inset
 
- se usa el comando
+
 \end_layout
 
 \begin_layout Standard
-
+Con 
 \series bold
 
 \backslash
-sum_
+overset
+\series default
+ y 
+\series bold
+
 \backslash
-mathclap{
+underset
+\series default
+ también se pueden decorar símbolos y caracteres.
+ Por ejemplo el comando 
+\series bold
+
 \backslash
-substack
+overset
 \begin_inset ERT
 status collapsed
 
@@ -16747,39 +16719,37 @@ spce
 
 \end_inset
 
-0<k<1000 Ctrl+Entrar
-\end_layout
 
-\begin_layout Standard
-para componer el límite inferior.
- Ahora el sumando está junto al sumatorio:
-\begin_inset Formula 
-\[
-\sum_{\mathclap{\substack{0<k<1000\\
-\\
-k\,\in\,\mathbb{N}
-}
-}}^{n}k^{-2}
-\]
+\backslash
+maltese
+\begin_inset ERT
+status collapsed
 
-\end_inset
+\begin_layout Plain Layout
 
 
-\begin_inset VSpace bigskip
+\backslash
+spce 
+\end_layout
+
 \end_inset
 
-Cómo utilizar un límite para varios operadores se describe en la 
-\begin_inset CommandInset ref
-LatexCommand ref
-reference "sub:Operadores-de-usuario"
 
+\series default
+
+\begin_inset Formula $\uparrow$
 \end_inset
 
-.
-\end_layout
 
-\begin_layout Standard
-\begin_inset Newpage newpage
+\series bold
+a
+\series default
+ genera:
+\begin_inset Formula 
+\[
+\overset{a}{\maltese}
+\]
+
 \end_inset
 
 
@@ -18186,6 +18156,13 @@ spce
 _i,j=1
 \end_layout
 
+\begin_layout Standard
+\begin_inset Newpage newpage
+\end_inset
+
+
+\end_layout
+
 \begin_layout Section
 Tipografías
 \begin_inset Index idx
@@ -19224,7 +19201,7 @@ name "sub:Tamaños-de-tipografías"
 
 
 \begin_inset Index idx
-status open
+status collapsed
 
 \begin_layout Plain Layout
 Tipografías ! tamaño
@@ -21280,15 +21257,6 @@ theta
 \end_inset
 
 
-\end_layout
-
-\begin_layout Standard
-\noindent
-\align center
-\begin_inset Newpage newpage
-\end_inset
-
-
 \end_layout
 
 \begin_layout Section
@@ -22235,6 +22203,15 @@ bot
 \end_inset
 
 
+\end_layout
+
+\begin_layout Standard
+\noindent
+\align center
+\begin_inset Newpage newpage
+\end_inset
+
+
 \end_layout
 
 \begin_layout Subsection
@@ -26124,6 +26101,15 @@ A
 El primer método es preferible si la función se va a usar varias veces.
 \end_layout
 
+\begin_layout Standard
+\noindent
+\align center
+\begin_inset Newpage newpage
+\end_inset
+
+
+\end_layout
+
 \begin_layout Subsection
 Límites
 \begin_inset Index idx
@@ -28377,7 +28363,7 @@ status collapsed
 El símbolo grado ° puede no obstante insertarse directamente si el preámbulo
  LaTeX contiene la línea:
 \begin_inset Foot
-status open
+status collapsed
 
 \begin_layout Plain Layout
 Más sobre este asunto en 
@@ -28413,6 +28399,15 @@ textdegree
 fi}
 \end_layout
 
+\begin_layout Standard
+\noindent
+\align center
+\begin_inset Newpage newpage
+\end_inset
+
+
+\end_layout
+
 \begin_layout Section
 Estilos de ecuación
 \begin_inset CommandInset label
@@ -30383,6 +30378,15 @@ I & =a\sqrt{2}\int_{0}^{2\pi}\sqrt{1+\cos(\phi)}\;\mathrm{d}\phi\\
 \end_inset
 
 
+\end_layout
+
+\begin_layout Standard
+\noindent
+\align center
+\begin_inset Newpage newpage
+\end_inset
+
+
 \end_layout
 
 \begin_layout Section
@@ -33846,6 +33850,15 @@ primer
  argumento del nuevo comando es automáticamente opcional.
 \end_layout
 
+\begin_layout Standard
+\noindent
+\align center
+\begin_inset Newpage newpage
+\end_inset
+
+
+\end_layout
+
 \begin_layout Standard
 Veamos unos ejemplos:
 \end_layout
@@ -35330,15 +35343,6 @@ Maxima
 command-alternatives break-paragraph;math-extern maxima
 \end_layout
 
-\begin_layout Standard
-
-\lang english
-\begin_inset Newpage newpage
-\end_inset
-
-
-\end_layout
-
 \begin_layout Section
 Consejos prácticos
 \begin_inset Index idx
diff --git a/lib/doc/fr/Math.lyx b/lib/doc/fr/Math.lyx
index 248a804938..77c814b783 100644
--- a/lib/doc/fr/Math.lyx
+++ b/lib/doc/fr/Math.lyx
@@ -5754,48 +5754,6 @@ vmatrix,
 Notez que les matrices décorées ignorent l'alignement vertical.
 \end_layout
 
-\begin_layout Standard
-\begin_inset Note Greyedout
-status open
-
-\begin_layout Plain Layout
-
-\series bold
-\lang english
-Note:
-\series default
- LaTeX limits the number of matrix columns with decorations to 10.
- If you need more than 10
-\begin_inset space ~
-\end_inset
-
-columns, you have to add this line to the document preamble:
-\end_layout
-
-\begin_layout Plain Layout
-
-\series bold
-\lang english
-
-\backslash
-setcounter{MaxMatrixCols}{number}
-\end_layout
-
-\begin_layout Plain Layout
-
-\lang english
-where 
-\emph on
-number
-\emph default
- is the number of columns between 11 and 99.
-\end_layout
-
-\end_inset
-
-
-\end_layout
-
 \begin_layout Standard
 \begin_inset VSpace bigskip
 \end_inset
@@ -8021,6 +7979,19 @@ status collapsed
 Commandes ! J ! 
 \backslash
 jot
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+
+\backslash
+vspace{4mm}
+\end_layout
+
+\end_inset
+
+
 \end_layout
 
 \end_inset
@@ -8056,13 +8027,6 @@ reference "sub:Séparation-des-lignes"
 .
 \end_layout
 
-\begin_layout Standard
-\begin_inset Newpage newpage
-\end_inset
-
-
-\end_layout
-
 \begin_layout Section
 Flèches
 \begin_inset Index idx
@@ -10397,233 +10361,7 @@ en texte mathématique.
 
 \begin_layout Standard
 En texte mathématique, les trémas et autres caractères accentués peuvent
- être insérés directement.
-\end_layout
-
-\begin_layout Subsection
-Accents pour les opérateurs
-\begin_inset Index idx
-status collapsed
-
-\begin_layout Plain Layout
-Accents ! pour les opérateurs
-\end_layout
-
-\end_inset
-
-
-\end_layout
-
-\begin_layout Standard
-Avec les commandes 
-\series bold
-
-\backslash
-overset
-\series default
-
-\begin_inset Index idx
-status collapsed
-
-\begin_layout Plain Layout
-Commandes ! O ! 
-\backslash
-overset
-\end_layout
-
-\end_inset
-
- et 
-\series bold
-
-\backslash
-underset
-\series default
-
-\begin_inset Index idx
-status collapsed
-
-\begin_layout Plain Layout
-Commandes ! U ! 
-\backslash
-underset
-\end_layout
-
-\end_inset
-
- on peut placer des caractères respectivement au dessus ou en dessous d'un
- opérateur, pour l'accentuer.
- Avec la commande 
-\series bold
-
-\backslash
-sideset
-\series default
-
-\begin_inset Index idx
-status collapsed
-
-\begin_layout Plain Layout
-Commandes ! S ! 
-\backslash
-sideset
-\end_layout
-
-\end_inset
-
-, on peut placer des caractères avant ou après un opérateur.
- La syntaxe de la commande est:
-\series bold
-
-\begin_inset Newline newline
-\end_inset
-
-
-\backslash
-sideset{caractère avant}{caractère après}
-\end_layout
-
-\begin_layout Standard
-
-\series bold
-
-\backslash
-sideset
-\series default
- doit toujours se trouver avant l'opérateur qui est accentué.
-  Vous pouvez utiliser pour l'accentuation plusieurs caractères et même
- d'autres opérateurs ou des symboles.
- Pour placer avec 
-\series bold
-
-\backslash
-sideset,
-\series default
- par exemple seulement des caractères derrière un opérateur, ne mettez rien
- entre les deux premières accolades, mais ne les omettez pas.
-\end_layout
-
-\begin_layout Standard
-Par exemple la commande 
-\series bold
-
-\backslash
-sideset{
-\begin_inset Formula $\to$
-\end_inset
-
-
-\backslash
-{
-\series default
-'
-\series bold
-
-\begin_inset Formula $\to$
-\end_inset
-
-
-\backslash
-sum_k=1
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce 
-\end_layout
-
-\end_inset
-
-
-\series default
-^
-\series bold
-n
-\series default
- donne:
-\begin_inset Formula 
-\[
-\sideset{}{'}\sum_{k=1}^{n}
-\]
-
-\end_inset
-
-
-\end_layout
-
-\begin_layout Standard
-La commande 
-\series bold
-
-\backslash
-overset
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce 
-\end_layout
-
-\end_inset
-
-
-\backslash
-maltese
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce 
-\end_layout
-
-\end_inset
-
-
-\series default
-
-\begin_inset Formula $\uparrow$
-\end_inset
-
-
-\series bold
-a
-\series default
- donne:
-\begin_inset Formula 
-\[
-\overset{a}{\maltese}
-\]
-
-\end_inset
-
-Comme on peut le voir dans le dernier exemple, avec 
-\series bold
-
-\backslash
-overset
-\series default
- et 
-\series bold
-
-\backslash
-underset
-\series default
- on peut aussi accentuer des symboles et des caractères; avec 
-\series bold
-
-\backslash
-sideset
-\series default
- ce n'est pas possible.
+ être insérés directement.
 \end_layout
 
 \begin_layout Subsection
@@ -12561,13 +12299,6 @@ mathsurround
 pt.
 \end_layout
 
-\begin_layout Standard
-\begin_inset Newpage newpage
-\end_inset
-
-
-\end_layout
-
 \begin_layout Section
 Boîtes et cadres
 \begin_inset Index idx
@@ -12827,13 +12558,6 @@ fbox
 .
 \end_layout
 
-\begin_layout Standard
-\begin_inset Newpage newpage
-\end_inset
-
-
-\end_layout
-
 \begin_layout Standard
 \align center
 \begin_inset Tabular
@@ -16097,6 +15821,13 @@ dotsint
 \end_inset
 
 
+\end_layout
+
+\begin_layout Standard
+\begin_inset Newpage newpage
+\end_inset
+
+
 \end_layout
 
 \begin_layout Subsection
@@ -16500,49 +16231,278 @@ status collapsed
 
 
 \backslash
-spce 
+spce 
+\end_layout
+
+\end_inset
+
+
+\series default
+ au début de la ligne.
+\end_layout
+
+\begin_layout Standard
+La commande 
+\series bold
+
+\backslash
+substack
+\series default
+ est équivalente à 
+\series bold
+
+\backslash
+subarray
+\series default
+ avec la différence que les lignes sont toujours centrées.
+\end_layout
+
+\begin_layout Standard
+\begin_inset VSpace bigskip
+\end_inset
+
+Comme dans le cas de la formule 
+\begin_inset CommandInset ref
+LatexCommand eqref
+reference "eq:substack"
+
+\end_inset
+
+, il se peut qu'il y ait trop d'espace après un opérateur, puisque les caractère
+s qui suivent l'opérateur se trouvent après la limite.
+\end_layout
+
+\begin_layout Standard
+Pour éviter cela, on peut utiliser la macro suivante dans le préambule LaTeX:
+\end_layout
+
+\begin_layout Standard
+
+\series bold
+
+\backslash
+def
+\backslash
+clap#1{
+\backslash
+hbox to 0pt{
+\backslash
+hss #1
+\backslash
+hss}}
+\begin_inset Newline newline
+\end_inset
+
+
+\backslash
+def
+\backslash
+mathclap {
+\backslash
+mathpalette 
+\backslash
+mathclapinternal}
+\begin_inset Newline newline
+\end_inset
+
+
+\backslash
+def
+\backslash
+mathclapinternal #1#2{
+\backslash
+clap{$
+\backslash
+mathsurround =0pt #1{#2}$}}
+\end_layout
+
+\begin_layout Standard
+Elle définit la commande 
+\series bold
+
+\backslash
+mathclap
+\series default
+
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commandes ! M ! 
+\backslash
+mathclap
+\end_layout
+
+\end_inset
+
+ qui met la largeur de la limite à 0
+\begin_inset space \thinspace{}
+\end_inset
+
+pt.
+ La syntaxe de la commande est:
+\end_layout
+
+\begin_layout Standard
+
+\series bold
+
+\backslash
+mathclap{limite}
+\end_layout
+
+\begin_layout Standard
+où la limite peut être composée de plusieurs conditions.
+\end_layout
+
+\begin_layout Standard
+Appliqué à la formule 
+\begin_inset CommandInset ref
+LatexCommand eqref
+reference "eq:substack"
+
+\end_inset
+
+, on utilise la commande
+\end_layout
+
+\begin_layout Standard
+
+\series bold
+
+\backslash
+sum_
+\backslash
+mathclap{
+\backslash
+substack
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+
+\backslash
+spce 
+\end_layout
+
+\end_inset
+
+0<k<1000 Ctrl+Entrée
+\end_layout
+
+\begin_layout Standard
+pour créer la limite inférieure.
+ L'opérande est maintenant juste après l'opérateur de sommation:
+\begin_inset Formula 
+\[
+\sum_{\mathclap{\substack{0<k<1000\\
+\\
+k\,\in\,\mathbb{N}
+}
+}}^{n}k^{-2}
+\]
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+\begin_inset VSpace bigskip
+\end_inset
+
+On décrit comment utiliser une limite pour plusieurs opérateurs dans 
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "sub:Opérateurs-personnalisés"
+
+\end_inset
+
+.
+\end_layout
+
+\begin_layout Subsection
+Décoration pour les opérateurs
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Opérateurs ! Décoration
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+Avec les commandes 
+\series bold
+
+\backslash
+overset
+\series default
+
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commandes ! O ! 
+\backslash
+overset
+\end_layout
+
+\end_inset
+
+ et 
+\series bold
+
+\backslash
+underset
+\series default
+
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commandes ! U ! 
+\backslash
+underset
 \end_layout
 
 \end_inset
 
-
-\series default
- au début de la ligne.
-\end_layout
-
-\begin_layout Standard
-La commande 
+ on peut placer des caractères respectivement au dessus ou en dessous d'un
+ opérateur.
+ Avec la commande 
 \series bold
 
 \backslash
-substack
+sideset
 \series default
- est équivalente à 
-\series bold
 
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commandes ! S ! 
 \backslash
-subarray
-\series default
- avec la différence que les lignes sont toujours centrées.
+sideset
 \end_layout
 
-\begin_layout Standard
-\begin_inset VSpace bigskip
 \end_inset
 
-Comme dans le cas de la formule 
-\begin_inset CommandInset ref
-LatexCommand eqref
-reference "eq:substack"
+, on peut placer des caractères avant ou après un grand opérateur.
+ La syntaxe de la commande est:
+\series bold
 
+\begin_inset Newline newline
 \end_inset
 
-, il se peut qu'il y ait trop d'espace après un opérateur, puisque les caractère
-s qui suivent l'opérateur se trouvent après la limite.
-\end_layout
 
-\begin_layout Standard
-Pour éviter cela, on peut utiliser la macro suivante dans le préambule LaTeX:
+\backslash
+sideset{caractère avant}{caractère après}
 \end_layout
 
 \begin_layout Standard
@@ -16550,101 +16510,113 @@ Pour éviter cela, on peut utiliser la macro suivante dans le préambule LaTeX:
 \series bold
 
 \backslash
-def
-\backslash
-clap#1{
-\backslash
-hbox to 0pt{
-\backslash
-hss #1
-\backslash
-hss}}
-\begin_inset Newline newline
-\end_inset
+sideset
+\series default
+ doit toujours se trouver avant l'opérateur.
+  Vous pouvez utiliser pour l'accentuation plusieurs caractères et même
+ d'autres opérateurs ou des symboles.
+ Pour placer par exemple seulement des caractères derrière un grand opérateur,
+ ne mettez rien entre les deux premières accolades, mais ne les omettez
+ pas.
+\end_layout
 
+\begin_layout Standard
+Par exemple la commande 
+\series bold
 
 \backslash
-def
-\backslash
-mathclap {
-\backslash
-mathpalette 
-\backslash
-mathclapinternal}
-\begin_inset Newline newline
+sideset{
+\begin_inset Formula $\to$
 \end_inset
 
 
 \backslash
-def
-\backslash
-mathclapinternal #1#2{
-\backslash
-clap{$
-\backslash
-mathsurround =0pt #1{#2}$}}
-\end_layout
-
-\begin_layout Standard
-Elle définit la commande 
+{
+\series default
+'
 \series bold
 
-\backslash
-mathclap
-\series default
+\begin_inset Formula $\to$
+\end_inset
 
-\begin_inset Index idx
+
+\backslash
+sum_k=1
+\begin_inset ERT
 status collapsed
 
 \begin_layout Plain Layout
-Commandes ! M ! 
+
+
 \backslash
-mathclap
+spce 
 \end_layout
 
 \end_inset
 
- qui met la largeur de la limite à 0
-\begin_inset space \thinspace{}
+
+\series default
+^
+\series bold
+n
+\series default
+ donne:
+\begin_inset Formula 
+\[
+\sideset{}{'}\sum_{k=1}^{n}
+\]
+
 \end_inset
 
-pt.
- La syntaxe de la commande est:
+
 \end_layout
 
 \begin_layout Standard
+\begin_inset Note Greyedout
+status open
 
-\series bold
+\begin_layout Plain Layout
 
+\series bold
+Note: 
 \backslash
-mathclap{limite}
-\end_layout
-
-\begin_layout Standard
-où la limite peut être composée de plusieurs conditions.
+sideset
+\series default
+ 
+\lang english
+can only be used to decorate
+\lang french
+ grands opérateurs, opérateurs binaires 
+\lang english
+are not allowed
+\lang french
+.
 \end_layout
 
-\begin_layout Standard
-Appliqué à la formule 
-\begin_inset CommandInset ref
-LatexCommand eqref
-reference "eq:substack"
-
 \end_inset
 
-, on utilise la commande
+
 \end_layout
 
 \begin_layout Standard
-
+Avec 
 \series bold
 
 \backslash
-sum_
+overset
+\series default
+ et 
+\series bold
+
 \backslash
-mathclap{
+underset
+\series default
+ on peut aussi décorer des symboles et des caractères.
+ Pour exemple la commande 
+\series bold
+
 \backslash
-substack
+overset
 \begin_inset ERT
 status collapsed
 
@@ -16657,38 +16629,40 @@ spce
 
 \end_inset
 
-0<k<1000 Ctrl+Entrée
-\end_layout
 
-\begin_layout Standard
-pour créer la limite inférieure.
- L'opérande est maintenant juste après l'opérateur de sommation:
-\begin_inset Formula 
-\[
-\sum_{\mathclap{\substack{0<k<1000\\
-\\
-k\,\in\,\mathbb{N}
-}
-}}^{n}k^{-2}
-\]
+\backslash
+maltese
+\begin_inset ERT
+status collapsed
 
-\end_inset
+\begin_layout Plain Layout
 
 
+\backslash
+spce 
 \end_layout
 
-\begin_layout Standard
-\begin_inset VSpace bigskip
 \end_inset
 
-On décrit comment utiliser une limite pour plusieurs opérateurs dans 
-\begin_inset CommandInset ref
-LatexCommand ref
-reference "sub:Opérateurs-personnalisés"
 
+\series default
+
+\begin_inset Formula $\uparrow$
 \end_inset
 
-.
+
+\series bold
+a
+\series default
+ donne:
+\begin_inset Formula 
+\[
+\overset{a}{\maltese}
+\]
+
+\end_inset
+
+
 \end_layout
 
 \begin_layout Subsection
@@ -18111,6 +18085,13 @@ spce
 _i,j=1
 \end_layout
 
+\begin_layout Standard
+\begin_inset Newpage newpage
+\end_inset
+
+
+\end_layout
+
 \begin_layout Section
 Polices de caractères
 \begin_inset Index idx
@@ -19720,13 +19701,6 @@ On peut insérer toutes les lettres grecques avec le bouton
  quand même en lettres droites.
 \end_layout
 
-\begin_layout Standard
-\begin_inset Newpage newpage
-\end_inset
-
-
-\end_layout
-
 \begin_layout Subsection
 Lettres minuscules
 \begin_inset Index idx
@@ -20642,6 +20616,13 @@ reference "sub:minuscules-grecques-droites"
 .
 \end_layout
 
+\begin_layout Standard
+\begin_inset Newpage newpage
+\end_inset
+
+
+\end_layout
+
 \begin_layout Subsection
 Lettres majuscules
 \begin_inset Index idx
@@ -28453,6 +28434,19 @@ status collapsed
 Commandes ! J ! 
 \backslash
 jot
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+
+\backslash
+vspace{4mm}
+\end_layout
+
+\end_inset
+
+
 \end_layout
 
 \end_inset
@@ -28745,6 +28739,13 @@ C & \ne & A
 \end_inset
 
 
+\end_layout
+
+\begin_layout Standard
+\begin_inset Newpage newpage
+\end_inset
+
+
 \end_layout
 
 \begin_layout Subsubsection
@@ -29389,10 +29390,17 @@ Puisque l'espacement des colonnes peut être choisi séparément pour chaque
  colonne, cet environnement est particulièrement adapté aux cas où on a
  trois colonnes ou plus côte-à-côte.
  
+\end_layout
+
+\begin_layout Standard
+\begin_inset Newpage newpage
+\end_inset
+
+
 \end_layout
 
 \begin_layout Subsubsection
-Environnement falign
+Environnement flalign
 \begin_inset CommandInset label
 LatexCommand label
 name "sub:Environnement-Flalign"
@@ -35097,20 +35105,13 @@ Maxima
 command-alternatives break-paragraph;math-extern maxima
 \end_layout
 
-\begin_layout Standard
-\begin_inset Newpage newpage
-\end_inset
-
-
-\end_layout
-
 \begin_layout Section
-Astuces
+Points divers
 \begin_inset Index idx
 status collapsed
 
 \begin_layout Plain Layout
-Astuces
+Points divers
 \end_layout
 
 \end_inset
diff --git a/lib/doc/ja/Math.lyx b/lib/doc/ja/Math.lyx
index 35f13eab0a..9fde74778e 100644
--- a/lib/doc/ja/Math.lyx
+++ b/lib/doc/ja/Math.lyx
@@ -5633,39 +5633,6 @@ vmatrix
 などを挿入すると、青枠が二つの垂直線のあいだに現れるので、そこに行列を挿入することができます。
 \end_layout
 
-\begin_layout Standard
-\begin_inset Note Greyedout
-status open
-
-\begin_layout Plain Layout
-
-\series bold
-【註】
-\series default
-LaTeXは、装飾のついた行列の列を10列までに制限しています。10列よりも多い列が必要な場合には、文書プリアンブルに
-\end_layout
-
-\begin_layout Plain Layout
-
-\series bold
-
-\backslash
-setcounter{MaxMatrixCols}{数}
-\end_layout
-
-\begin_layout Plain Layout
-という行を書き加えなくてはなりません。ここで
-\emph on
-数
-\emph default
-は列数を表し、11から99の値でなくてはなりません。
-\end_layout
-
-\end_inset
-
-
-\end_layout
-
 \begin_layout Standard
 \begin_inset VSpace bigskip
 \end_inset
@@ -10208,225 +10175,6 @@ ddot
 ウムラウトと他のアクセント付き文字は、数式中テキストに直接入れることができます。
 \end_layout
 
-\begin_layout Subsection
-演算子に付けるアクセント
-\begin_inset Index idx
-status collapsed
-
-\begin_layout Plain Layout
-あくせんと@アクセント ! えんざんしにつける@演算子に付ける
-\end_layout
-
-\end_inset
-
-
-\end_layout
-
-\begin_layout Standard
-
-\series bold
-
-\backslash
-overset
-\series default
-
-\begin_inset Index idx
-status collapsed
-
-\begin_layout Plain Layout
-こまんど@コマンド ! O ! 
-\backslash
-overset
-\end_layout
-
-\end_inset
-
-コマンドや
-\series bold
-
-\backslash
-underset
-\series default
-
-\begin_inset Index idx
-status collapsed
-
-\begin_layout Plain Layout
-こまんど@コマンド ! U ! 
-\backslash
-underset
-\end_layout
-
-\end_inset
-
-コマンドを使うと、それぞれ演算子の上や下に、文字をアクセントとして付けることができます。また、
-\series bold
-
-\backslash
-sideset
-\series default
-
-\begin_inset Index idx
-status collapsed
-
-\begin_layout Plain Layout
-こまんど@コマンド ! S ! 
-\backslash
-sideset
-\end_layout
-
-\end_inset
-
-コマンドを使うと、文字を演算子の前や後ろに付けることができます。コマンド書式は、
-\end_layout
-
-\begin_layout Standard
-
-\series bold
-
-\backslash
-sideset{前置文字}{後置文字}
-\end_layout
-
-\begin_layout Standard
-
-\series bold
-
-\backslash
-sideset
-\series default
-は、かならずアクセントを付ける演算子の前に置かなくてはなりません。複数の文字や他の演算子、記号もアクセントとして使用することができます。たとえば、
-\series bold
-
-\backslash
-sideset
-\series default
-を使って演算子の後だけに文字を配置したい場合には、最初の括弧の中には何も書かないようにしますが、括弧を省略することはできません。
-\end_layout
-
-\begin_layout Standard
-たとえば、
-\series bold
-
-\backslash
-sideset{
-\begin_inset Formula $\to$
-\end_inset
-
-
-\backslash
-{
-\series default
-'
-\series bold
-
-\begin_inset Formula $\to$
-\end_inset
-
-
-\backslash
-sum_k=1
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce 
-\end_layout
-
-\end_inset
-
-
-\series default
-^
-\series bold
-n
-\series default
-というコマンドを入力すると、
-\begin_inset Formula 
-\[
-\sideset{}{'}\sum_{k=1}^{n}
-\]
-
-\end_inset
-
-のようになります。
-\end_layout
-
-\begin_layout Standard
-また、
-\series bold
-
-\backslash
-overset
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce 
-\end_layout
-
-\end_inset
-
-
-\backslash
-maltese
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce 
-\end_layout
-
-\end_inset
-
-
-\series default
-
-\begin_inset Formula $\uparrow$
-\end_inset
-
-
-\series bold
-a
-\series default
-というコマンドならば、
-\begin_inset Formula 
-\[
-\overset{a}{\maltese}
-\]
-
-\end_inset
-
-のようになります。最後の例からわかるように、
-\series bold
-
-\backslash
-overset
-\series default
-や
-\series bold
-
-\backslash
-underset
-\series default
-では、記号や文字にアクセントをつけることもできます。一方、
-\series bold
-
-\backslash
-sideset
-\series default
-では、このようなことはできません。
-\end_layout
-
 \begin_layout Subsection
 複数の文字に付けるアクセント
 \begin_inset Index idx
@@ -16180,8 +15928,240 @@ reference "sub:自己定義演算子"
 節に述べられています。
 \end_layout
 
+\begin_layout Subsection
+
+\lang english
+Decoration for Operators
+\lang japanese
+
+\begin_inset Index idx
+status open
+
+\begin_layout Plain Layout
+えんざんし@演算子 ! 
+\lang english
+Decoration
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
 \begin_layout Standard
-\begin_inset Newpage newpage
+
+\series bold
+
+\backslash
+overset
+\series default
+
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+こまんど@コマンド ! O ! 
+\backslash
+overset
+\end_layout
+
+\end_inset
+
+コマンドや
+\series bold
+
+\backslash
+underset
+\series default
+
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+こまんど@コマンド ! U ! 
+\backslash
+underset
+\end_layout
+
+\end_inset
+
+コマンドを使うと、それぞれ演算子の上や下に、文字をアクセントとして付けることができます。また、
+\series bold
+
+\backslash
+sideset
+\series default
+
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+こまんど@コマンド ! S ! 
+\backslash
+sideset
+\end_layout
+
+\end_inset
+
+コマンドを使うと、文字を演算子の前や後ろに付けることができます。コマンド書式は、
+\end_layout
+
+\begin_layout Standard
+
+\series bold
+
+\backslash
+sideset{前置文字}{後置文字}
+\end_layout
+
+\begin_layout Standard
+
+\series bold
+
+\backslash
+sideset
+\series default
+は、かならずアクセントを付ける演算子の前に置かなくてはなりません。複数の文字や他の演算子、記号もアクセントとして使用することができます。たとえば、
+\series bold
+
+\backslash
+sideset
+\series default
+を使って演算子の後だけに文字を配置したい場合には、最初の括弧の中には何も書かないようにしますが、括弧を省略することはできません。
+\end_layout
+
+\begin_layout Standard
+たとえば、
+\series bold
+
+\backslash
+sideset{
+\begin_inset Formula $\to$
+\end_inset
+
+
+\backslash
+{
+\series default
+'
+\series bold
+
+\begin_inset Formula $\to$
+\end_inset
+
+
+\backslash
+sum_k=1
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+
+\backslash
+spce 
+\end_layout
+
+\end_inset
+
+
+\series default
+^
+\series bold
+n
+\series default
+というコマンドを入力すると、
+\begin_inset Formula 
+\[
+\sideset{}{'}\sum_{k=1}^{n}
+\]
+
+\end_inset
+
+のようになります。
+\end_layout
+
+\begin_layout Standard
+\begin_inset Note Greyedout
+status open
+
+\begin_layout Plain Layout
+
+\series bold
+\lang english
+Note: 
+\backslash
+sideset
+\series default
+ can only be used to decorate big operators, binary operators are not allowed.
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+のようになります。最後の例からわかるように、
+\series bold
+
+\backslash
+overset
+\series default
+や
+\series bold
+
+\backslash
+underset
+\series default
+では、記号や文字にアクセントをつけることもできます。一方。 また、
+\series bold
+
+\backslash
+overset
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+
+\backslash
+spce 
+\end_layout
+
+\end_inset
+
+
+\backslash
+maltese
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+
+\backslash
+spce 
+\end_layout
+
+\end_inset
+
+
+\series default
+
+\begin_inset Formula $\uparrow$
+\end_inset
+
+
+\series bold
+a
+\series default
+というコマンドならば、
+\begin_inset Formula 
+\[
+\overset{a}{\maltese}
+\]
+
 \end_inset
 
 
@@ -33973,20 +33953,19 @@ Maxima
 command-alternatives break-paragraph;math-extern maxima
 \end_layout
 
-\begin_layout Standard
-\begin_inset Newpage newpage
-\end_inset
-
+\begin_layout Section
 
-\end_layout
+\lang english
+Miscellaneous
+\lang japanese
 
-\begin_layout Section
-さまざまな秘訣
 \begin_inset Index idx
-status collapsed
+status open
 
 \begin_layout Plain Layout
-ひけつ@秘訣
+
+\lang english
+Miscellaneous
 \end_layout
 
 \end_inset
-- 
2.39.5