Update LFUNs.lyx

[lyx.git] / lib / doc / es / Math.lyx

diff --git a/lib/doc/es/Math.lyx b/lib/doc/es/Math.lyx
index 577f84cc6454564e1352af9137ced56f3c863a87..87f618cd457a3a400e46d1f8f8ccd9ac4472ce3b 100644 (file)
--- a/lib/doc/es/Math.lyx
+++ b/lib/doc/es/Math.lyx
@@ -1,5 +1,5 @@
-#LyX 2.0 created this file. For more info see http://www.lyx.org/
-\lyxformat 413
+#LyX 2.1 created this file. For more info see http://www.lyx.org/
+\lyxformat 474
 \begin_document
 \begin_header
 \textclass scrartcl
@@ -39,14 +39,11 @@
 
 % increase link area for cross-references and autoname them,
 \AtBeginDocument{\renewcommand{\ref}[1]{\mbox{\autoref{#1}}}}
-\newlength{\abc}
-\settowidth{\abc}{\space}
-\AtBeginDocument{%
-\addto\extrasspanish{
- \renewcommand{\equationautorefname}{\hspace{-\abc}}
- \renewcommand{\sectionautorefname}{sec.\negthinspace}
- \renewcommand{\subsectionautorefname}{sec.\negthinspace}
- \renewcommand{\subsubsectionautorefname}{sec.\negthinspace}}
+\addto\extrasspanish{%
+ \renewcommand*{\equationautorefname}[1]{}%
+ \renewcommand{\sectionautorefname}{sec.\negthinspace}%
+ \renewcommand{\subsectionautorefname}{sec.\negthinspace}%
+ \renewcommand{\subsubsectionautorefname}{sec.\negthinspace}%
 }
 
 % don't load packages twice
@@ -71,13 +68,13 @@
 % provides caption formatting
 \setkomafont{captionlabel}{\bfseries}
 
-% used in sec. 23.6
+% used in sec. 24.5
 \usepackage[samesize]{cancel}
 
 % enables calculation of values
 \usepackage{calc}
 
-% for multiple columns used in sec. 23.7
+% for multiple columns used in sec. 24.7
 \usepackage{multicol}
 
 % needed in sec. 19.4
@@ -155,13 +152,13 @@
 \font_roman default
 \font_sans default
 \font_typewriter default
+\font_math auto
 \font_default_family default
 \use_non_tex_fonts false
 \font_sc false
 \font_osf false
 \font_sf_scale 100
 \font_tt_scale 100
-
 \graphics default
 \default_output_format default
 \output_sync 0
@@ -186,15 +183,24 @@
 \pdf_quoted_options "linkcolor=black, citecolor=black, urlcolor=blue, filecolor=blue, pdfpagelayout=OneColumn, pdfnewwindow=true, pdfstartview=XYZ, plainpages=false"
 \papersize a4paper
 \use_geometry false
-\use_amsmath 2
-\use_esint 1
-\use_mhchem 1
-\use_mathdots 1
+\use_package amsmath 2
+\use_package amssymb 2
+\use_package cancel 0
+\use_package esint 1
+\use_package mathdots 1
+\use_package mathtools 0
+\use_package mhchem 1
+\use_package stackrel 0
+\use_package stmaryrd 0
+\use_package undertilde 0
 \cite_engine basic
+\cite_engine_type default
+\biblio_style plain
 \use_bibtopic false
 \use_indices false
 \paperorientation portrait
 \suppress_date false
+\justification true
 \use_refstyle 0
 \notefontcolor #0000ff
 \index Índice
@@ -289,11 +295,7 @@ status open
 Para exportar este documento a PDF, PS o DVI deberían estar instalados los
  paquetes LaTeX 
 \series bold
-braket, cancel, eurosym
-\series default
-, 
-\series bold
-mhchem
+braket, cancel, eurosym, mathdots, mhchem
 \series default
  y 
 \series bold
@@ -965,7 +967,31 @@ Una flecha como
 \end_inset
 
  indica el uso de la correspondiente tecla de flecha.
- 
+ La tecla 
+\family sans
+Tab
+\family default
+ se puede usar a menudo en vez de 
+\begin_inset Formula $\rightarrow$
+\end_inset
+
+ y 
+\begin_inset Formula $\downarrow$
+\end_inset
+
+, y 
+\family sans
+Mayús+Tab
+\family default
+ en vez de 
+\begin_inset Formula $\leftarrow$
+\end_inset
+
+ y 
+\begin_inset Formula $\uparrow$
+\end_inset
+
+.
 \end_layout
 
 \begin_layout Subsection*
@@ -982,7 +1008,7 @@ status open
 
 \begin_layout Plain Layout
 \align center
-\begin_inset Caption
+\begin_inset Caption Standard
 
 \begin_layout Plain Layout
 \begin_inset CommandInset label
@@ -1003,9 +1029,9 @@ Unidades disponibles
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="13" columns="2">
-<features tabularvalignment="middle">
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
 <row>
 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
@@ -1513,9 +1539,9 @@ _
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="4" columns="2">
-<features tabularvalignment="middle">
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
 <row>
 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
@@ -1800,9 +1826,9 @@ dfrac
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="4" columns="2">
-<features tabularvalignment="middle">
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
 <row>
 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
@@ -1944,19 +1970,6 @@ spce
 \end_inset
 
 e^
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce 
-\end_layout
-
-\end_inset
-
-
 \backslash
 frac
 \begin_inset ERT
@@ -2160,15 +2173,13 @@ Estas fracciones muestran las distintas alineaciones:
 \end_layout
 
 \begin_layout Standard
-\begin_inset Formula $\cfrac[l]{A}{B+C}$
-\end_inset
 
- ; 
-\begin_inset Formula $\cfrac{A}{B+C}$
-\end_inset
+\series bold
+\begin_inset Formula 
+\[
+\cfrac[l]{A}{B+C}\,,\,\cfrac{A}{B+C}\,,\,\cfrac[r]{A}{B+C}
+\]
 
- ; 
-\begin_inset Formula $\cfrac[r]{A}{B+C}$
 \end_inset
 
 
@@ -2320,7 +2331,13 @@ reference "sub:Fracciones-personalizadas"
 
  se explica cómo componer fracciones personalizadas en las que la raya de
  fracción se puede cambiar.
- 
+\end_layout
+
+\begin_layout Standard
+\begin_inset Newpage newpage
+\end_inset
+
+
 \end_layout
 
 \begin_layout Subsection
@@ -2396,9 +2413,9 @@ root
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="3" columns="2">
-<features tabularvalignment="middle">
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
 <row>
 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
@@ -2796,9 +2813,9 @@ brack
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="6" columns="2">
-<features tabularvalignment="middle">
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
 <row>
 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
@@ -3075,9 +3092,9 @@ Casos
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="3" columns="2">
-<features tabularvalignment="middle">
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
 <row>
 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
@@ -3293,9 +3310,9 @@ not
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="4" columns="2">
-<features tabularvalignment="middle">
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
 <row>
 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
@@ -3514,9 +3531,9 @@ reference "sub:Símbolos-y-ecuaciones-químicas"
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="2" columns="2">
-<features tabularvalignment="middle">
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
 <row>
 <cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
@@ -3618,7 +3635,7 @@ phantom
 
 \end_inset
 
- del submenú de espaciado de ecuaciones
+ del submenú de espacios en ecuaciones
 \begin_inset Foot
 status collapsed
 
@@ -3657,9 +3674,9 @@ phantom
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="4" columns="2">
-<features tabularvalignment="middle">
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
 <row>
 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
@@ -4105,9 +4122,9 @@ Ecuación ! sub- o superrayada
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="4" columns="2">
-<features tabularvalignment="middle">
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
 <row>
 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
@@ -4543,7 +4560,7 @@ dots
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="9" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -5384,9 +5401,9 @@ reference "sub:Tamaño-automático-de"
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="4" columns="2">
-<features tabularvalignment="middle">
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
 <row>
 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
@@ -5577,9 +5594,9 @@ matriz
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="4" columns="2">
-<features tabularvalignment="middle">
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
 <row>
 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
@@ -5805,49 +5822,6 @@ 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
- 
-\lang english
-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
@@ -6021,7 +5995,7 @@ Delimitadores ! verticales
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="9" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -6245,7 +6219,7 @@ lfloor
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="9" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -6622,9 +6596,9 @@ Estos comandos se usan para resaltar niveles de delimitación:
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="2" columns="2">
-<features tabularvalignment="middle">
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
 <row>
 <cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
@@ -6883,9 +6857,9 @@ En el siguiente cuadro hay una comparación de las variantes:
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="5" columns="2">
-<features tabularvalignment="middle">
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
 <row>
 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
@@ -7528,9 +7502,9 @@ Delimitadores ! horizontales
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="4" columns="2">
-<features tabularvalignment="middle">
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
 <row>
 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
@@ -8202,7 +8176,7 @@ Flechas ! horizontales
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="8" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -8411,7 +8385,7 @@ hookleftarrow
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="8" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -8627,7 +8601,7 @@ hookrightarrow
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="6" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -8791,7 +8765,7 @@ rightleftharpoons
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="5" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -9021,9 +8995,9 @@ vspace{4mm}
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="3" columns="2">
-<features tabularvalignment="middle">
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
 <row>
 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
@@ -9190,7 +9164,7 @@ Flechas ! verticales
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="7" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -9374,7 +9348,7 @@ downarrow
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="5" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -9681,7 +9655,7 @@ Acentos ! para un carácter
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="8" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -10007,7 +9981,7 @@ A
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="7" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -10382,9 +10356,9 @@ reales
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="3" columns="2">
-<features tabularvalignment="middle">
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
 <row>
 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
@@ -10519,253 +10493,6 @@ 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
@@ -10787,7 +10514,7 @@ Acentos ! en varios caracteres
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="5" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -10989,7 +10716,7 @@ A=B
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="5" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -11401,14 +11128,14 @@ Espacio.
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="3" columns="7">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
 <column alignment="center" valignment="middle" width="6.8cm">
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
 <row>
 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
 \begin_inset Text
@@ -11656,7 +11383,7 @@ El último tamaño parece no generar espacio.
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="3" columns="3">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
 <column alignment="center" valignment="middle" width="6.8cm">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
@@ -11779,9 +11506,9 @@ Los espacios negativos pueden llegar a solapar unos caracteres con otros.
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="3" columns="2">
-<features tabularvalignment="middle">
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
 <row>
 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
@@ -11918,9 +11645,9 @@ Relaciones como por ejemplo el signo igual siempre están rodeadas por espacios.
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="2" columns="2">
-<features tabularvalignment="middle">
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
 <row>
 <cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
@@ -12038,9 +11765,9 @@ Un ejemplo para visualizar la diferencia:
 \begin_layout Standard
 \begin_inset Tabular
 <lyxtabular version="3" rows="2" columns="2">
-<features tabularvalignment="middle">
-<column alignment="center" valignment="top" width="0">
-<column alignment="left" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="left" valignment="top">
 <row>
 <cell alignment="center" valignment="top" usebox="none">
 \begin_inset Text
@@ -12293,9 +12020,9 @@ hfill
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="4" columns="2">
-<features tabularvalignment="middle">
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
 <row>
 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
@@ -12943,23 +12670,14 @@ fbox
 .
 \end_layout
 
-\begin_layout Standard
-\noindent
-\align center
-\begin_inset Newpage newpage
-\end_inset
-
-
-\end_layout
-
 \begin_layout Standard
 \noindent
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="5" columns="2">
-<features tabularvalignment="middle">
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
 <row>
 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
@@ -13396,7 +13114,7 @@ name "sub:Marcos-sin-bordes"
 
 
 \begin_inset Index idx
-status open
+status collapsed
 
 \begin_layout Plain Layout
 Marcos ! sin borde
@@ -13511,7 +13229,7 @@ Nota
 \series default
 : Para
 \series bold
-
+ 
 \backslash
 raisebox
 \series default
@@ -13537,9 +13255,9 @@ raisebox
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="4" columns="2">
-<features tabularvalignment="middle">
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
 <row>
 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
@@ -13725,7 +13443,7 @@ name "sub:Marcos-coloreados"
 
 
 \begin_inset Index idx
-status open
+status collapsed
 
 \begin_layout Plain Layout
 Marcos ! coloreados
@@ -13915,9 +13633,9 @@ yellow
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="4" columns="2">
-<features tabularvalignment="middle">
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
 <row>
 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
@@ -14774,6 +14492,19 @@ 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
@@ -15221,7 +14952,7 @@ Opciones de ecuación
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="11" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -15520,7 +15251,7 @@ bigcup
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="11" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -15956,13 +15687,6 @@ correcto:
 \end_inset
 
 
-\end_layout
-
-\begin_layout Standard
-\begin_inset Newpage pagebreak
-\end_inset
-
-
 \end_layout
 
 \begin_layout Standard
@@ -15980,9 +15704,9 @@ Para integrales múltiples hay los siguientes comandos:
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="4" columns="2">
-<features tabularvalignment="middle">
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
 <row>
 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
@@ -16105,9 +15829,9 @@ sqiint
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="4" columns="2">
-<features tabularvalignment="middle">
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
 <row>
 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
@@ -16260,9 +15984,9 @@ Los límites se crean mediante superíndices y subíndices:
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="2" columns="2">
-<features tabularvalignment="middle">
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
 <row>
 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
@@ -16775,8 +16499,259 @@ reference "sub:Operadores-de-usuario"
 .
 \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
-\begin_inset Newpage newpage
+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 grande.
+ 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.
+ Se puede decorar con varios caracteres e incluso con otros operadores y
+ símbolos.
+ Para colocar con
+\series bold
+ 
+\backslash
+sideset
+\series default
+ caracteres sólo detrás del operador grande, 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
+\begin_inset Note Greyedout
+status open
+
+\begin_layout Plain Layout
+
+\series bold
+Nota: 
+\backslash
+sideset
+\series default
+ sólo se puede usar para decorar operadores grandes, no permite operadores
+ binarios.
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+Con 
+\series bold
+
+\backslash
+overset
+\series default
+ y 
+\series bold
+
+\backslash
+underset
+\series default
+ también se pueden decorar símbolos y caracteres.
+ Por ejemplo 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
 
 
@@ -16819,7 +16794,7 @@ Los operadores binarios se rodean por espacios si llevan un carácter delante
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="13" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -17186,7 +17161,7 @@ bullet
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="13" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -17520,7 +17495,7 @@ vee
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="13" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -18183,6 +18158,13 @@ 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
@@ -18234,10 +18216,10 @@ Las letras latinas en las ecuaciones se pueden poner en uno de los siguientes
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="7" columns="3">
-<features tabularvalignment="middle">
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
 <row>
 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
@@ -18592,10 +18574,10 @@ AbC
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="5" columns="3">
-<features tabularvalignment="middle">
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
 <row>
 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
@@ -19221,7 +19203,7 @@ name "sub:Tamaños-de-tipografías"
 
 
 \begin_inset Index idx
-status open
+status collapsed
 
 \begin_layout Plain Layout
 Tipografías ! tamaño
@@ -19361,9 +19343,9 @@ Dentro de una ecuación, el tamaño se puede cambiar usando los siguientes
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="5" columns="2">
-<features tabularvalignment="middle">
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
 <row>
 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
@@ -19796,7 +19778,7 @@ Letras griegas ! minúsculas
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="11" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -20080,7 +20062,7 @@ vartheta
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="12" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -20387,7 +20369,7 @@ rho
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="11" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -20710,7 +20692,7 @@ Letras griegas ! mayúsculas
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="7" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -20894,7 +20876,7 @@ Pi
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="6" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -21191,9 +21173,9 @@ boldsymbol
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="3" columns="2">
-<features tabularvalignment="middle">
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
 <row>
 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
@@ -21277,15 +21259,6 @@ theta
 \end_inset
 
 
-\end_layout
-
-\begin_layout Standard
-\noindent
-\align center
-\begin_inset Newpage newpage
-\end_inset
-
-
 \end_layout
 
 \begin_layout Section
@@ -21417,7 +21390,7 @@ Símbolos ! matemáticos
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="10" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -21676,7 +21649,7 @@ jmath
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="10" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -21975,7 +21948,7 @@ Bbbk
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="10" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -22232,6 +22205,15 @@ bot
 \end_inset
 
 
+\end_layout
+
+\begin_layout Standard
+\noindent
+\align center
+\begin_inset Newpage newpage
+\end_inset
+
+
 \end_layout
 
 \begin_layout Subsection
@@ -22260,7 +22242,7 @@ Símbolos ! misceláneos
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="10" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -22511,9 +22493,9 @@ $
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="10" columns="2">
-<features tabularvalignment="middle">
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
 <row>
 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
@@ -22766,7 +22748,7 @@ bullet
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="10" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -23217,10 +23199,10 @@ Un vistazo a los diferentes símbolos del euro.
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="4" columns="3">
-<features tabularvalignment="middle">
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
 <row>
 <cell multicolumn="1" alignment="center" valignment="top" bottomline="true" usebox="none">
 \begin_inset Text
@@ -23492,7 +23474,7 @@ Todas las relaciones se pueden insertar también con el botón
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="17" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -23924,7 +23906,7 @@ nmid
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="17" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -24356,7 +24338,7 @@ widehat=
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="17" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -24853,9 +24835,9 @@ stackrel
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="2" columns="2">
-<features tabularvalignment="middle">
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
 <row>
 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
@@ -25045,7 +25027,7 @@ cursiva
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="2" columns="4">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
@@ -25215,7 +25197,7 @@ del t.
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="9" columns="7">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
@@ -26033,7 +26015,7 @@ En LyX, las funciones personalizadas se ven en rojo, las predefinidas en
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="3" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -26121,6 +26103,15 @@ 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
@@ -26176,9 +26167,9 @@ limsup
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="5" columns="2">
-<features tabularvalignment="middle">
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
 <row>
 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
@@ -26343,7 +26334,7 @@ El límite se crea insertando un subíndice.
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="2" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -26491,6 +26482,19 @@ En una ecuación presentada:
 
 En una ecuación en línea se pone menos espacio delante del nombre de la
  función para todas las variantes.
+ Por omisión, las funciones módulo solo tienen en cuenta el primer carácter
+ siguente.
+ Para aplicarlas a más de un carácter hay que poner estos entre llaves TeX:
+\begin_inset Formula 
+\begin{align*}
+\underline{\textrm{Comando}\raisebox{-0.9mm}{}} &  & \underline{\textrm{Resultado}}\\
+\mathrm{a\backslash pod\textrm{\spce}bcd} &  & a\pod bcd\\
+\mathrm{a\backslash pod\backslash\{bc\to d} &  & a\pod{bc}d
+\end{align*}
+
+\end_inset
+
+
 \end_layout
 
 \begin_layout Section
@@ -26523,9 +26527,9 @@ Los siguientes comandos sólo se pueden usar en texto matemático o en modo
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="8" columns="2">
-<features tabularvalignment="middle">
-<column alignment="block" valignment="top" width="0">
-<column alignment="block" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="block" valignment="top">
+<column alignment="block" valignment="top">
 <row>
 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
@@ -26759,9 +26763,9 @@ i
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="8" columns="2">
-<features tabularvalignment="middle">
-<column alignment="block" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="block" valignment="top">
+<column alignment="center" valignment="top">
 <row>
 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
@@ -27091,9 +27095,9 @@ Con los siguientes comandos se pueden acentuar todas las letras.
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="8" columns="2">
-<features tabularvalignment="middle">
-<column alignment="block" valignment="top" width="0">
-<column alignment="block" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="block" valignment="top">
+<column alignment="block" valignment="top">
 <row>
 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
@@ -27419,9 +27423,9 @@ t ee
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="8" columns="2">
-<features tabularvalignment="middle">
-<column alignment="block" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="block" valignment="top">
+<column alignment="center" valignment="top">
 <row>
 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
@@ -27932,9 +27936,9 @@ textcircled
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="3" columns="2">
-<features tabularvalignment="middle">
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
 <row>
 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
@@ -28214,9 +28218,9 @@ Los siguientes caracteres sólo pueden insertarse en ecuaciones mediante
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="4" columns="2">
-<features tabularvalignment="middle">
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
 <row>
 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
@@ -28361,7 +28365,7 @@ 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 
@@ -28397,6 +28401,15 @@ 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
@@ -28643,6 +28656,8 @@ reference "sub:Entorno-align-estándar"
 \end_inset
 
 .
+ Se recomienda el entorno align porque proporciona una salida tipográficamente
+ correcta en cualquier caso.
 \end_layout
 
 \begin_layout Standard
@@ -30365,6 +30380,15 @@ 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
@@ -30519,6 +30543,12 @@ Etiqueta
 
  de la barra de herramientas.
  El cursor debe estar dentro de una ecuación en modo presentación.
+ Como alternativa, se puede hacer clic derecha sobre la fórmula y elegir
+ 
+\family sans
+Etiqueta de ecuación
+\family default
+.
  Surge un diálogo con el prefijo 
 \series bold
 eq:
@@ -30537,7 +30567,7 @@ equation
 \begin_inset space \thinspace{}
 \end_inset
 
-e.
+ej.
 \begin_inset space ~
 \end_inset
 
@@ -30545,9 +30575,13 @@ de las etiquetas de sección.
  Para cambiar una etiqueta se usa de nuevo el menú 
 \family sans
 Insertar\SpecialChar \menuseparator
-Etiqueta
+Etiqueta 
 \family default
-.
+o la opción 
+\family sans
+Etiqueta de ecuación
+\family default
+ al hacer clic derecha sobre una fórmula.
 \end_layout
 
 \begin_layout Standard
@@ -31964,9 +31998,14 @@ status open
 \begin_layout Plain Layout
 
 \series bold
+\color none
 Nota:
 \series default
- Con letras latinas sólo se puede numerar hasta un máximo de 26 ecuaciones.
+ Con letras latinas sólo se puede numerar hasta un máximo de 26
+\begin_inset space ~
+\end_inset
+
+ecuaciones.
 \end_layout
 
 \end_inset
@@ -32386,9 +32425,9 @@ ce
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="9" columns="2">
-<features tabularvalignment="middle">
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
 <row>
 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
@@ -32889,6 +32928,7 @@ status open
 \begin_layout Plain Layout
 
 \series bold
+\color none
 Nota:
 \series default
  Insertar modo matemático en un marco 
@@ -32931,6 +32971,40 @@ hyphen$Cl}
 \end_inset
 
 
+\end_layout
+
+\begin_layout Standard
+\begin_inset Note Greyedout
+status collapsed
+
+\begin_layout Plain Layout
+
+\series bold
+Nota:
+\series default
+ En LyX no es posible usar el carácter ^ para obtener una flecha hacia arriba,
+ como se describe en el manual de 
+\series bold
+mhchem
+\series default
+.
+ Como alternativa, inserta un espacio delgado negativo seguido por el comando
+ 
+\series bold
+
+\backslash
+uparrow
+\series default
+: 
+\begin_inset Formula $\ce{Fe + 2H+ -> Fe^{2+} + H2\negthinspace\uparrow}$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+
+
 \end_layout
 
 \begin_layout Standard
@@ -33775,6 +33849,15 @@ 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
@@ -33973,9 +34056,9 @@ Un ensayo con los nuevos comandos definidos:
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="6" columns="2">
-<features tabularvalignment="middle">
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
 <row>
 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
@@ -34467,7 +34550,11 @@ e
 \series default
 .
  Los colocadores de argumento se muestran en rojo.
- Se pueden poner 9 argumentos como máximo.
+ Se pueden poner 9
+\begin_inset space ~
+\end_inset
+
+argumentos como máximo.
  Con el botón 
 \begin_inset Graphics
        filename ../../images/math-macro-add-optional-param.png
@@ -34747,8 +34834,8 @@ La barra de herramientas de macros contiene los siguientes botones:
 \begin_layout Standard
 \begin_inset Tabular
 <lyxtabular version="3" rows="9" columns="2">
-<features islongtable="true" longtabularalignment="center">
-<column alignment="left" valignment="top" width="0">
+<features rotate="0" islongtable="true" longtabularalignment="center">
+<column alignment="left" valignment="top">
 <column alignment="left" valignment="top" width="85col%">
 <row interlinespace="2.5mm">
 <cell alignment="center" valignment="top" usebox="none">
@@ -35305,9 +35392,9 @@ Un ejemplo para visualizar el problema:
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="3" columns="2">
-<features tabularvalignment="middle">
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
 <row>
 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
 \begin_inset Text
@@ -35583,9 +35670,9 @@ Están definidos los siguientes comandos:
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="4" columns="2">
-<features tabularvalignment="middle">
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
 <row>
 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
@@ -35875,9 +35962,9 @@ El estilo es un número en el rango 0
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="5" columns="2">
-<features tabularvalignment="middle">
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
 <row>
 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
@@ -36133,7 +36220,7 @@ Paquetes ! cancel
 \series bold
 
 \backslash
-usepackage[samesize]{cancel}
+usepackage{cancel}
 \end_layout
 
 \begin_layout Standard
@@ -36174,9 +36261,9 @@ Hay cuatro formas de cancelar ecuaciones:
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="5" columns="2">
-<features tabularvalignment="middle">
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
 <row>
 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
 \begin_inset Text
@@ -36397,7 +36484,7 @@ A=B
 \backslash
 cancelto
 \series default
- es especialmente apropiada para visualizar la simplificación de fracciones
+ es especialmente apropiado para visualizar la simplificación de fracciones
  en una ecuación:
 \begin_inset Formula 
 \[
@@ -36409,6 +36496,144 @@ cancelto
 
 \end_layout
 
+\begin_layout Standard
+Para cambiar el tamaño del valor subscrito por 
+\series bold
+
+\backslash
+cancelto
+\series default
+ se puede cargar el paquete 
+\series bold
+cancel
+\series default
+ con la opción 
+\series bold
+samesize
+\series default
+, que da el mismo tamaño que para el valor cancelado, o con la opción 
+\series bold
+Smaller
+\series default
+, que da un tamaño un poco más pequeño que el que se obtiene sin usar ninguna
+ opción.
+ En este documento, 
+\series bold
+cancel
+\series default
+ se ha cargado con la línea 
+\end_layout
+
+\begin_layout Standard
+
+\series bold
+
+\backslash
+usepackage[samesize]{cancel}
+\end_layout
+
+\begin_layout Standard
+Para colorear la raya de cancelación añade el siguiente comando en código
+ TeX:
+\end_layout
+
+\begin_layout Standard
+
+\series bold
+
+\backslash
+renewcommand{
+\backslash
+CancelColor}{
+\backslash
+color{red}}
+\end_layout
+
+\begin_layout Standard
+donde 
+\series bold
+red
+\series default
+ puede reemplazarse por el color deseado.
+\end_layout
+
+\begin_layout Standard
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+
+\backslash
+renewcommand{
+\backslash
+CancelColor}{
+\backslash
+color{red}}
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+\begin_inset Formula 
+\[
+\frac{\left(x_{0}+bB\right)^{2}}{\left(1+b^{2}\right)^{\cancelto{2}{3}}}=\frac{x_{0}^{2}+B^{2}-r_{g}^{2}}{\cancel{1+b^{2}}}
+\]
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+
+\backslash
+renewcommand{
+\backslash
+CancelColor}{
+\backslash
+color{black}}
+\end_layout
+
+\end_inset
+
+
+\begin_inset Note Note
+status open
+
+\begin_layout Plain Layout
+restablece el color
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+Para otras posibilidades de personalización, véase la documentación del
+ paquete
+\series bold
+ cancel
+\series default
+, 
+\begin_inset CommandInset citation
+LatexCommand cite
+key "cancel"
+
+\end_inset
+
+.
+\end_layout
+
 \begin_layout Standard
 \begin_inset ERT
 status collapsed
@@ -36574,7 +36799,7 @@ texorpdfstring
 \begin_layout Standard
 parte se refiere a la parte del encabezado que no debería aparecer en el
  marcador PDF.
- Puede ser caracteres, ecuaciones, notas al pie, y también referencias cruzadas.
+ Pueden ser caracteres, ecuaciones, notas al pie y también referencias cruzadas.
  La alternativa se usa para el marcador en vez de la parte.
 \end_layout
 
@@ -36611,7 +36836,7 @@ Encabezado sin ecuación en el índice
 \end_inset
 
 
-\begin_inset Argument
+\begin_inset Argument 1
 status collapsed
 
 \begin_layout Plain Layout
@@ -36849,7 +37074,7 @@ Sangrado
 \series default
 ,
 \begin_inset Foot
-status open
+status collapsed
 
 \begin_layout Plain Layout
 véase estilos de ecuación en 
@@ -37380,6 +37605,13 @@ fi
 \end_inset
 
 
+\end_layout
+
+\begin_layout Standard
+\begin_inset Newpage newpage
+\end_inset
+
+
 \end_layout
 
 \begin_layout Subsection
@@ -37536,7 +37768,7 @@ i}
 \start_of_appendix
 Notas sobre tipografía
 \begin_inset Index idx
-status open
+status collapsed
 
 \begin_layout Plain Layout
 Tipografía, normas
@@ -37840,7 +38072,7 @@ Sinónimos
 Algunos caracteres y símbolos se pueden componer con varios comandos sinónimos
  como los que se recogen en esta lista:
 \begin_inset Foot
-status open
+status collapsed
 
 \begin_layout Plain Layout
 véase también 
@@ -37869,7 +38101,7 @@ reference "fn:sinónimos"
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="12" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -38196,7 +38428,7 @@ vert
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="12" columns="2">
-<features tabularvalignment="middle">
+<features rotate="0" tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -38500,7 +38732,6 @@ Vert
 \end_layout
 
 \begin_layout Bibliography
-\labelwidthstring Referencias
 \begin_inset CommandInset bibitem
 LatexCommand bibitem
 key "TLC2"
@@ -38521,7 +38752,6 @@ The LaTeX Companion
 \end_layout
 
 \begin_layout Bibliography
-\labelwidthstring Referencias
 \begin_inset CommandInset bibitem
 LatexCommand bibitem
 key "Mathmode"
@@ -38540,7 +38770,6 @@ target "ftp://ftp.dante.de/tex-archive/info/math/voss/mathmode/Mathmode.pdf"
 \end_layout
 
 \begin_layout Bibliography
-\labelwidthstring Referencias
 \begin_inset CommandInset bibitem
 LatexCommand bibitem
 key "AMS"
@@ -38572,7 +38801,6 @@ AmS
 \end_layout
 
 \begin_layout Bibliography
-\labelwidthstring Referencias
 \begin_inset CommandInset bibitem
 LatexCommand bibitem
 key "Symbols"
@@ -38591,7 +38819,38 @@ target "ftp://ftp.dante.de/tex-archive/info/symbols/comprehensive/symbols-a4.pdf
 \end_layout
 
 \begin_layout Bibliography
-\labelwidthstring Referencias
+\begin_inset CommandInset bibitem
+LatexCommand bibitem
+key "cancel"
+
+\end_inset
+
+
+\begin_inset CommandInset href
+LatexCommand href
+name "Documentación"
+target "http://mirrors.ctan.org/macros/latex/contrib/cancel/cancel.pdf"
+
+\end_inset
+
+ del paquete LaTeX 
+\series bold
+cancel
+\series default
+
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Paquetes ! cancel
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Bibliography
 \begin_inset CommandInset bibitem
 LatexCommand bibitem
 key "hyperref"
@@ -38624,7 +38883,6 @@ Paquetes ! hyperref
 \end_layout
 
 \begin_layout Bibliography
-\labelwidthstring Referencias
 \begin_inset CommandInset bibitem
 LatexCommand bibitem
 key "mhchem"
@@ -38657,7 +38915,6 @@ Paquetes ! mhchem
 \end_layout
 
 \begin_layout Bibliography
-\labelwidthstring Referencias
 \begin_inset CommandInset bibitem
 LatexCommand bibitem
 key "Mathclap"
@@ -38701,7 +38958,6 @@ mathclap
 \end_layout
 
 \begin_layout Bibliography
-\labelwidthstring Referencias
 \begin_inset CommandInset bibitem
 LatexCommand bibitem
 key "Duden"
@@ -38718,7 +38974,6 @@ Duden Band 1
 \end_layout
 
 \begin_layout Bibliography
-\labelwidthstring Referencias
 \begin_inset CommandInset bibitem
 LatexCommand bibitem
 key "spanish"
@@ -38746,7 +39001,6 @@ babel
 \end_layout
 
 \begin_layout Bibliography
-\labelwidthstring Referencias
 \begin_inset CommandInset bibitem
 LatexCommand bibitem
 key "Bezos"