% example macro from sec. 19.4
%\def\tagform@#1{\maketag@@@{|#1|}}
-% macro from sec. 10.2
-\def\clap#1{\hbox to 0pt{\hss #1\hss}}
-\def\mathclap {\mathpalette \mathclapinternal}
-\def\mathclapinternal #1#2{\clap{$\mathsurround =0pt #1{#2}$}}
-
% ------------------------------------
% used to check for needed LaTeX packages
\use_package cancel 0
\use_package esint 1
\use_package mathdots 1
-\use_package mathtools 0
+\use_package mathtools 1
\use_package mhchem 1
\use_package stackrel 0
\use_package stmaryrd 0
Para exportar este documento a PDF, PS o DVI deberían estar instalados los
paquetes LaTeX
\series bold
-braket, cancel, eurosym, mathdots, mhchem, undertilde
+braket, cancel, eurosym, mathdots, mathtools, mhchem, undertilde
\series default
y
\series bold
Ctrl+M, Alt+C M, Alt+M M
\family default
o pulsa el botón
-\begin_inset Graphics
- filename ../../images/math-mode.png
- scale 85
-
+\begin_inset Info
+type "icon"
+arg "math-mode"
\end_inset
de la barra de herramientas.
\end_inset
se inicia pulsando el botón
-\begin_inset Graphics
- filename ../../images/ert-insert.png
- scale 85
-
+\begin_inset Info
+type "icon"
+arg "ert-insert"
\end_inset
de la barra de herramientas o con el menú
\end_inset
o con el botón de la barra de herramientas de ecuaciones
-\begin_inset Graphics
- filename ../../images/math-subscript.png
- scale 85
-
+\begin_inset Info
+type "icon"
+arg "math-subscript"
\end_inset
, los superíndices con un circunflejo
\end_inset
o con el botón de la barra de herramientas de ecuaciones
-\begin_inset Graphics
- filename ../../images/math-superscript.png
- scale 85
-
+\begin_inset Info
+type "icon"
+arg "math-superscript"
\end_inset
.
\end_inset
o con el botón
-\begin_inset Graphics
- filename ../../images/math/frac.png
- scale 50
-
+\begin_inset Info
+type "icon"
+arg "math-insert \\frac"
\end_inset
de la barra de herramientas.
El tamaño de tipografía se ajusta automáticamente, dependiendo de si la
fracción está en línea o en estilo presentación.
Con el botón
-\begin_inset Graphics
- filename ../../images/math/frac-square.png
- scale 85
-
+\begin_inset Info
+type "icon"
+arg "math-insert \\frac-square"
\end_inset
-de la barra de herramientas matemáticas puedes seleccionar distintos tipos
+ de la barra de herramientas matemáticas puedes seleccionar distintos tipos
de fracciones.
\end_layout
\end_inset
o con el botón
-\begin_inset Graphics
- filename ../../images/math/sqrt.png
- scale 85
-
+\begin_inset Info
+type "icon"
+arg "math-insert \\sqrt"
\end_inset
de la barra de ecuaciones; todas las demás raíces con el comando
\end_inset
o con el botón
-\begin_inset Graphics
- filename ../../images/math/root.png
- scale 85
-
+\begin_inset Info
+type "icon"
+arg "math-insert \\root"
\end_inset
.
\end_inset
o con el submenú del botón
-\begin_inset Graphics
- filename ../../images/math/frac-square.png
- scale 85
-
+\begin_inset Info
+type "icon"
+arg "math-insert \\frac-square"
\end_inset
-de la barra de herramientas de ecuaciones.
+ de la barra de herramientas de ecuaciones.
Como en las fracciones, además de
\series bold
cases
\series default
o usar el botón
-\begin_inset Graphics
- filename ../../images/math/cases.png
- scale 85
-
+\begin_inset Info
+type "icon"
+arg "math-insert \\cases"
\end_inset
de la barra de ecuaciones puedes añadir líneas nuevas con el atajo
\family default
-\begin_inset Graphics
- filename ../../images/tabular-feature_append-row.png
- scale 85
-
+\begin_inset Info
+type "icon"
+arg "inset-modify tabular append-row"
\end_inset
de la barra de cuadros.
\begin_layout Plain Layout
Botón
-\begin_inset Graphics
- filename ../../images/math/space.png
- scale 85
+\family sans
+\begin_inset Info
+type "icon"
+arg "math-insert \\space"
\end_inset
+
+\family default
de la barra de ecuaciones
\end_layout
\begin_layout Standard
Hay distintos tipos de puntos disponibles.
\begin_inset Foot
-status open
+status collapsed
\begin_layout Plain Layout
En la barra de herramientas de ecuaciones, en el panel del botón
-\begin_inset Graphics
- filename ../../images/math/ldots.png
- scale 85
-
+\begin_inset Info
+type "icon"
+arg "math-insert \\ldots"
\end_inset
.
\begin_layout Standard
Se pueden insertar con el botón
-\begin_inset Graphics
- filename ../../images/dialog-show_mathmatrix.png
- scale 85
-
+\begin_inset Info
+type "icon"
+arg "dialog-show mathmatrix"
\end_inset
de la barra de ecuaciones o con el menú
\begin_layout Standard
Para añadir o borrar filas y columnas posteriormente, se pueden usar los
botones
-\begin_inset Graphics
- filename ../../images/tabular-feature_append-row.png
- scale 85
-
+\begin_inset Info
+type "icon"
+arg "inset-modify tabular append-row"
\end_inset
,
-\begin_inset Graphics
- filename ../../images/tabular-feature_delete-row.png
- scale 85
-
+\begin_inset Info
+type "icon"
+arg "inset-modify tabular delete-row"
\end_inset
, etc.
\end_inset
o con el botón de la barra de ecuaciones
-\begin_inset Graphics
- filename ../../images/dialog-show_mathdelimiter.png
- scale 85
-
+\begin_inset Info
+type "icon"
+arg "dialog-show mathdelimiter"
\end_inset
.
\begin_layout Standard
Las flechas se pueden insertar con el botón
-\begin_inset Graphics
- filename ../../images/math/leftarrow.png
- scale 85
-
+\begin_inset Info
+type "icon"
+arg "math-insert \\leftarrow"
\end_inset
de la barra de ecuaciones o mediante los comandos listados en las subsecciones
\begin_layout Standard
\noindent
\align center
-\begin_inset VSpace -5mm
-\end_inset
-
-
\begin_inset Tabular
-<lyxtabular version="3" rows="3" columns="7">
+<lyxtabular version="3" rows="6" columns="3">
<features rotate="0" tabularvalignment="middle">
-<column alignment="center" valignment="middle" width="6.8cm">
-<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" width="14col%">
<column alignment="center" valignment="top">
<row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
\end_inset
</cell>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+Número de pulsaciones de
+\family sans
+Espacio
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+Resultado
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text
+\begin_layout Plain Layout
+0
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $A\, B$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
\begin_layout Plain Layout
\backslash
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text
+\begin_layout Plain Layout
+1
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $A\: B$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
\begin_layout Plain Layout
\backslash
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text
+\begin_layout Plain Layout
+2
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $A\; B$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
\begin_layout Plain Layout
\backslash
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text
+\begin_layout Plain Layout
+3
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $A\quad B$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+\begin_inset Text
+
\begin_layout Plain Layout
\backslash
\end_inset
</cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
+4
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $A\qquad B$
+\end_inset
+
-\backslash
-!
\end_layout
\end_inset
</cell>
</row>
+</lyxtabular>
+
+\end_inset
+
+
+\begin_inset space \hfill{}
+\end_inset
+
+
+\begin_inset Tabular
+<lyxtabular version="3" rows="6" columns="3">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top" width="14col%">
+<column alignment="center" valignment="top">
<row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+Comando
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
Número de pulsaciones de
\family sans
Espacio
-\family default
- tras insertar el espacio protegido
\end_layout
\end_inset
</cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
-0
+Resultado
\end_layout
\end_inset
</cell>
+</row>
+<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
-1
+
+\backslash
+hfill
\end_layout
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-2
+5
\end_layout
\end_inset
</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $A\hfill B$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
-3
+
+\backslash
+hspace*{1em}
\end_layout
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-4
+6
\end_layout
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-5
+\begin_inset Formula $A\hspace*{1em}B$
+\end_inset
+
+
\end_layout
\end_inset
</cell>
</row>
<row>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
-Resultado
+
+\backslash
+hspace{1em}
\end_layout
\end_inset
</cell>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $A\, B$
-\end_inset
-
-
+7
\end_layout
\end_inset
</cell>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $A\: B$
+\begin_inset Formula $A\hspace{1em}B$
\end_inset
\end_inset
</cell>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+</row>
+<row>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $A\; B$
+
+\backslash
+
+\begin_inset space \textvisiblespace{}
\end_inset
\end_inset
</cell>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $A\quad B$
+8
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $A\ B$
\end_inset
\end_inset
</cell>
+</row>
+<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $A\qquad B$
-\end_inset
+\backslash
+!
+\end_layout
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+9
\end_layout
\end_inset
\end_layout
\begin_layout Standard
-El último tamaño parece no generar espacio.
+
+\lang english
+Space
+\begin_inset space ~
+\end_inset
+
+5
+\begin_inset space \thinspace{}
+\end_inset
+
+--
+\begin_inset space \thinspace{}
+\end_inset
+
+7 are variable spaces which are explained in
+\lang spanish
+
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "sub:Espacio-variable"
+
+\end_inset
+
+.
+ El tamaño
+\begin_inset space ~
+\end_inset
+
+9 parece no generar espacio.
A diferencia de los otros se muestra en rojo en LyX, porque es un espacio
negativo.
Hay otros dos espacios negativos:
\begin_inset Text
\begin_layout Plain Layout
-6
+10
\end_layout
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-7
+11
\end_layout
\end_inset
\end_layout
\begin_layout Standard
+\noindent
+\begin_inset VSpace medskip
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+\noindent
Relaciones como por ejemplo el signo igual siempre están rodeadas por espacios.
Para suprimirlos, el signo igual se coloca entre llaves TeX.
El siguiente ejemplo lo ilustra:
.
La longitud también puede ser negativa.
- Para insertar en una ecuación tanto espacio como esté disponible se usa
+
+\lang english
+When a space would be the first character in a line it would be omitted.
+ To force its output use the command
+\series bold
+
+\backslash
+hspace*
+\series default
+ instead of
+\series bold
+
+\backslash
+hspace
+\series default
+ or left-click on the
+\begin_inset Quotes eld
+\end_inset
+
+
+\color blue
+
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+
+\color inherit
+
+\begin_inset Quotes erd
+\end_inset
+
+ and check the option
+\family sans
+Protect
+\family default
+.
+\lang spanish
+
+\begin_inset Newline newline
+\end_inset
+
+Para insertar en una ecuación tanto espacio como esté disponible se usa
el comando
\series bold
\begin_inset space \textvisiblespace{}
\end_inset
-
-\begin_inset Formula $\to$
-\end_inset
-
A
\backslash
not=C (3
\begin_inset space \textvisiblespace{}
\end_inset
-
-\begin_inset Formula $\to$
-\end_inset
-
A
\backslash
not=A (-1
\end_inset
, 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
+ Para evitarlo se puede usar comando
\series bold
\backslash
\end_inset
- que establece la anchura del límite en 0
+ que
+\lang english
+sets the width of its content to
+\lang spanish
+ 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_inset Newline newline
+\end_inset
-\begin_layout Standard
Aplicado en la ecuación
\begin_inset CommandInset ref
LatexCommand eqref
\backslash
sum_
\backslash
-mathclap{
+mathclap
\backslash
substack
\begin_inset space \textvisiblespace{}
\end_inset
+\end_layout
+
+\begin_layout Standard
+\begin_inset VSpace bigskip
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+
+\lang english
+When several consecutive operators have limits the typesetting of the limits
+ looks often imperfect in the output, see this example:
+\lang spanish
+
+\begin_inset Formula
+\[
+\text{a)}\lim_{n\to\infty}\max_{p\ge n}\quad\text{b)}\lim_{n\to\infty}\max_{p^{2}\ge n}\quad\text{c)}\lim_{n\to\infty}\sup_{p^{2}\ge nK}\quad\text{d)}\limsup_{n\to\infty}\max_{p\ge n}
+\]
+
+\end_inset
+
+
+\lang english
+To improve the typesetting set in the document settings under
+\family sans
+Math
+\begin_inset space ~
+\end_inset
+
+Options
+\family default
+ for the package
+\lang spanish
+
+\series bold
+mathtools
+\series default
+
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Paquetes ! mathtools
+\end_layout
+
+\end_inset
+
+
+\lang english
+the option
+\family sans
+Load
+\begin_inset space ~
+\end_inset
+
+always
+\family default
+.
+ Then insert into your formula the command
+\series bold
+\lang spanish
+
+\backslash
+adjustlimits
+\series default
+
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Comandos ! A !
+\backslash
+adjustlimits
+\end_layout
+
+\end_inset
+
+
+\lang english
+directly before the first operator.
+ The example will then look like this:
+\lang spanish
+
+\begin_inset Formula
+\[
+\text{a)}\adjustlimits\lim_{n\to\infty}\max_{p\ge n}\quad\text{b)}\adjustlimits\lim_{n\to\infty}\max_{p^{2}\ge n}\quad\text{c)}\adjustlimits\lim_{n\to\infty}\sup_{p^{2}\ge nK}\quad\text{d)}\adjustlimits\limsup_{n\to\infty}\max_{p\ge n}
+\]
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
\begin_inset VSpace bigskip
\end_inset
\end_inset
se pueden poner caracteres delante y detrás de un operador grande.
- El esquema del comando es:
\end_layout
\begin_layout Standard
+\lang english
+There are 4
+\begin_inset space ~
+\end_inset
+
+variants of
\series bold
\backslash
-sideset{carácter
+sideset
\series default
-
-\series bold
-anterior}{carácter posterior}
+:
\end_layout
-\begin_layout Standard
+\begin_layout Itemize
\series bold
+\lang english
\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
+ is used to set characters at the corners of the operator
+\end_layout
+
+\begin_layout Itemize
+
\series bold
-
+\lang english
+
+\backslash
+sidesetn
+\series default
+ is used to set characters before and/or behind the operator (this variant
+ represents LaTeX's original
+\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.
-
+ command)
\end_layout
-\begin_layout Standard
-Por ejemplo, el comando
+\begin_layout Itemize
+
\series bold
+\lang english
\backslash
-sideset{
-\begin_inset Formula $\to$
-\end_inset
+sidesetl
+\series default
+ is used to set characters at the left corners and/or behind the operator
+\end_layout
+\begin_layout Itemize
+
+\series bold
+\lang english
\backslash
-{
+sidesetr
\series default
-'
+ is used to set characters at the right corners and/or before the operator
+\end_layout
+
+\begin_layout Standard
+Por ejemplo, el comando
\series bold
-\begin_inset Formula $\to$
+\backslash
+sidesetn
+\begin_inset space \textvisiblespace{}
\end_inset
\backslash
-sum_k=1
+sum
\begin_inset space \textvisiblespace{}
\end_inset
-\series default
-^
-\series bold
+\begin_inset Formula $\to$
+\end_inset
+'
+\begin_inset Formula $\to$
+\end_inset
+
+_k=1
\begin_inset space \textvisiblespace{}
\end_inset
+
+\series default
+^
+\series bold
n
\series default
genera:
\end_layout
+\begin_layout Standard
+\begin_inset VSpace medskip
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+
+\lang english
+How to adjust the typesetting of the limits see
+\lang spanish
+
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "sub:Límites-de-operadores"
+
+\end_inset
+
+.
+\end_layout
+
\begin_layout Subsection
Función módulo
\begin_inset Index idx
\begin_inset Index idx
-status open
+status collapsed
\begin_layout Plain Layout
Vectores cuánticos
\begin_inset Index idx
-status open
+status collapsed
\begin_layout Plain Layout
Notación bra-ket
projects / lyx.git / blobdiff