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\section{Lista de sÃ­mbolos matemÃ¡ticos}  \label{symbols}
 
Los siguientes cuadros muestran todos los sÃ­mbolos normalmente accesibles desde \emph{modo matemÃ¡tico}.  

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Para usar los sÃ­mbolos listados en los cuadros~\ref{AMSD}-\ref{AMSNBR},\footnote{Estos cuadros provienen de \texttt{symbols.tex} de David~Carlisle y fueron cambiando mucho segÃºn las sugerencias de Josef~Tkadlec.} debe cargarse el paquete \pai{amssymb} en el preÃ¡mbulo del documento y las \fontsnomo{} de la AMS deben estar instaladas en el sistema.  Si el paquete y las \fontsnomo{} AMS no estÃ¡n instaladas en su sistema, mire en \CTANref|macros/latex/required/amslatex|.  Una lista de sÃ­mbolos aun mÃ¡s completa se puede hallar en \CTANref|info/symbols/comprehensive|.

\begin{table}[!h]
\caption{Acentos en modo matemÃ¡tico.}  \label{mathacc}
\begin{symbols}{*3{cl}}
\W{\hat}{a}     &amp; \W{\check}{a} &amp; \W{\tilde}{a}  \\
\W{\grave}{a}   &amp; \W{\dot}{a}   &amp; \W{\ddot}{a}   \\
\W{\bar}{a}     &amp; \W{\vec}{a}   &amp;\W{\widehat}{A}  \\  
\W{\acute}{a}   &amp; \W{\breve}{a} &amp;\W{\widetilde}{A}
\end{symbols}
\end{table}
 
\begin{table}[!h]
\caption{Letras griegas.}
\begin{symbols}{*4{cl}}
\X{\alpha}      &amp; \X{\theta}     &amp; \X{o}          &amp; \X{\upsilon}  \\
\X{\beta}       &amp; \X{\vartheta}  &amp; \X{\pi}        &amp; \X{\phi}      \\
\X{\gamma}      &amp; \X{\iota}      &amp; \X{\varpi}     &amp; \X{\varphi}   \\
\X{\delta}      &amp; \X{\kappa}     &amp; \X{\rho}       &amp; \X{\chi}      \\
\X{\epsilon}    &amp; \X{\lambda}    &amp; \X{\varrho}    &amp; \X{\psi}      \\
\X{\varepsilon} &amp; \X{\mu}        &amp; \X{\sigma}     &amp; \X{\omega}    \\
\X{\zeta}       &amp; \X{\nu}        &amp; \X{\varsigma}  &amp;               \\
\X{\eta}        &amp; \X{\xi}        &amp; \X{\tau}       &amp;               \\
\X{\Gamma}      &amp; \X{\Lambda}    &amp; \X{\Sigma}     &amp; \X{\Psi}      \\
\X{\Delta}      &amp; \X{\Xi}        &amp; \X{\Upsilon}   &amp; \X{\Omega}    \\
\X{\Theta}      &amp; \X{\Pi}        &amp; \X{\Phi} 
\end{symbols}
\end{table}

\begin{table}[!tbp]
\caption{Relaciones binarias.}
\bigskip
Puede negar los sÃ­mbolos siguientes prefijÃ¡ndolos con la orden \ci{not}.
\begin{symbols}{*3{cl}}
\X{&lt;}                   &amp; \X{&gt;}                   &amp; \X{=}          \\
\X{\leq}or \verb|\le|   &amp; \X{\geq}or \verb|\ge|   &amp; \X{\equiv}     \\
\X{\ll}                 &amp; \X{\gg}                 &amp; \X{\doteq}     \\
\X{\prec}               &amp; \X{\succ}               &amp; \X{\sim}       \\
\X{\preceq}             &amp; \X{\succeq}             &amp; \X{\simeq}     \\
\X{\subset}             &amp; \X{\supset}             &amp; \X{\approx}    \\
\X{\subseteq}           &amp; \X{\supseteq}           &amp; \X{\cong}      \\
\X{\sqsubset}$^a$       &amp; \X{\sqsupset}$^a$       &amp; \X{\Join}$^a$  \\
\X{\sqsubseteq}         &amp; \X{\sqsupseteq}         &amp; \X{\bowtie}    \\
\X{\in}                 &amp; \X{\ni}, \verb|\owns|   &amp; \X{\propto}    \\
\X{\vdash}              &amp; \X{\dashv}              &amp; \X{\models}    \\
\X{\mid}                &amp; \X{\parallel}           &amp; \X{\perp}      \\
\X{\smile}              &amp; \X{\frown}              &amp; \X{\asymp}     \\
\X{:}                   &amp; \X{\notin}              &amp; \X{\neq}or \verb|\ne|
\end{symbols}
\centerline{\footnotesize $^a$ Use el paquete \textsf{latexsym} para acceder a este sÃ­mbolo}
\end{table}

\begin{table}[!tbp]
\caption{Operadores binarios.}
\begin{symbols}{*3{cl}}
\X{+}                 &amp; \X{-}                    &amp; &amp;                 \\
\X{\pm}               &amp; \X{\mp}                  &amp; \X{\triangleleft} \\
\X{\cdot}             &amp; \X{\div}                 &amp; \X{\triangleright}\\
\X{\times}            &amp; \X{\setminus}            &amp; \X{\star}         \\
\X{\cup}              &amp; \X{\cap}                 &amp; \X{\ast}          \\
\X{\sqcup}            &amp; \X{\sqcap}               &amp; \X{\circ}         \\
\X{\vee}, \verb|\lor| &amp; \X{\wedge}, \verb|\land| &amp; \X{\bullet}       \\
\X{\oplus}            &amp; \X{\ominus}              &amp; \X{\diamond}      \\
\X{\odot}             &amp; \X{\oslash}              &amp; \X{\uplus}        \\
\X{\otimes}           &amp; \X{\bigcirc}             &amp; \X{\amalg}        \\
\X{\bigtriangleup}    &amp;\X{\bigtriangledown}      &amp; \X{\dagger}       \\
\X{\lhd}$^a$          &amp; \X{\rhd}$^a$             &amp; \X{\ddagger}      \\
\X{\unlhd}$^a$        &amp; \X{\unrhd}$^a$           &amp; \X{\wr}
\end{symbols} 
\end{table}

\begin{table}[!tbp]
\caption{Operadores GRANDES.}
\begin{symbols}{*4{cl}}
\X{\sum}      &amp; \X{\bigcup}    &amp; \X{\bigvee}  \\
\X{\prod}     &amp; \X{\bigcap}    &amp; \X{\bigwedge} \\
\X{\coprod}   &amp; \X{\bigsqcup}  &amp; \X{\biguplus} \\
\X{\int}      &amp; \X{\oint}      &amp; \X{\bigodot} \\
\X{\bigoplus} &amp; \X{\bigotimes} &amp; \\
\end{symbols} 
\end{table}

\begin{table}[!tbp]
\caption{Flechas.}
\begin{symbols}{*2{cl}}
\X{\leftarrow}o \verb|\gets|  &amp; \X{\longleftarrow}         \\
\X{\rightarrow}o \verb|\to|   &amp; \X{\longrightarrow}        \\
\X{\leftrightarrow}           &amp; \X{\longleftrightarrow}    \\
\X{\Leftarrow}                &amp; \X{\Longleftarrow}         \\
\X{\Rightarrow}               &amp; \X{\Longrightarrow}        \\
\X{\Leftrightarrow}           &amp; \X{\Longleftrightarrow}    \\
\X{\mapsto}                   &amp; \X{\longmapsto}            \\
\X{\hookleftarrow}            &amp; \X{\hookrightarrow}        \\
\X{\leftharpoonup}            &amp; \X{\rightharpoonup}        \\
\X{\leftharpoondown}          &amp; \X{\rightharpoondown}      \\
\X{\rightleftharpoons}        &amp; \X{\iff}(espacios mayores) \\
\X{\uparrow}                  &amp; \X{\downarrow}             \\
\X{\updownarrow}              &amp; \X{\Uparrow}               \\
\X{\Downarrow}                &amp; \X{\Updownarrow}           \\
\X{\nearrow}                  &amp; \X{\searrow}               \\
\X{\swarrow}                  &amp; \X{\nwarrow}               \\
\X{\leadsto}$^a$
\end{symbols}
\centerline{\footnotesize $^a$ Use el paquete \textsf{latexsym} para acceder a este sÃ­mbolo}
\end{table}

\begin{table}[!tbp]
\caption{Delimitadores.}\label{tab:delimiters}
\begin{symbols}{*3{cl}}
\X{(}                  &amp; \X{)}                  &amp; \X{\uparrow}         \\
\X{[}o \verb|\lbrack|  &amp; \X{]}o \verb|\rbrack|  &amp; \X{\downarrow}       \\
\X{\{}o \verb|\lbrace| &amp; \X{\}}o \verb|\rbrace| &amp; \X{\updownarrow}     \\
\X{\langle}            &amp; \X{\rangle}            &amp; \X{|}o \verb|\vert|  \\
\X{\lfloor}            &amp; \X{\rfloor}            &amp; \X{\lceil}           \\
\X{/}                  &amp; \X{\backslash}         &amp; \X{\Updownarrow}     \\ 
\X{\Uparrow}           &amp;  \X{\Downarrow}        &amp; \X{\|}o \verb|\Vert| \\
\X{\rceil}    
\end{symbols}
\end{table}

\begin{table}[!tbp]
\caption{Delimitadores grandes.}
\begin{symbols}{*3{cl}}
\Y{\lgroup}      &amp; \Y{\rgroup}      &amp; \Y{\lmoustache}  \\
\Y{\arrowvert}   &amp; \Y{\Arrowvert}   &amp; \Y{\bracevert}   \\
\Y{\rmoustache}  \\
\end{symbols}
\end{table}


\begin{table}[!tbp]
\caption{SÃ­mbolos variados.}
\begin{symbols}{*4{cl}}
\X{\dots}               &amp; \X{\cdots}      &amp; \X{\vdots}      &amp; \X{\ddots}       \\
\X{\hbar}               &amp; \X{\imath}      &amp; \X{\jmath}      &amp; \X{\ell}         \\
\X{\Re}                 &amp; \X{\Im}         &amp; \X{\aleph}      &amp; \X{\wp}          \\
\X{\forall}             &amp; \X{\exists}     &amp; \X{\mho}$^a$    &amp; \X{\partial}     \\
\X{'}                   &amp; \X{\prime}      &amp; \X{\emptyset}   &amp; \X{\infty}       \\
\X{\nabla}              &amp; \X{\triangle}   &amp; \X{\Box}$^a$    &amp; \X{\Diamond}$^a$ \\
\X{\bot}                &amp; \X{\top}        &amp; \X{\angle}      &amp; \X{\surd}        \\
\X{\diamondsuit}        &amp; \X{\heartsuit}  &amp; \X{\clubsuit}   &amp; \X{\spadesuit}   \\
\X{\neg}or \verb|\lnot| &amp; \X{\flat}       &amp; \X{\natural}    &amp; \X{\sharp}

\end{symbols}
\centerline{\footnotesize $^a$ Use el paquete \textsf{latexsym} para acceder a este sÃ­mbolo}
\end{table}

\begin{table}[!tbp]
\caption{SÃ­mbolos no matemÃ¡ticos.}
\bigskip
Estos sÃ­mbolos pueden usarse tambiÃ©n en modo texto.
\begin{symbols}{*4{cl}}
\SC{\dag}  &amp;  \SC{\S}  &amp;  \SC{\copyright} &amp;  \SC{\textregistered}  \\
\SC{\ddag} &amp;  \SC{\P}  &amp;  \SC{\pounds}    &amp;  \SC{\%}               \\
\end{symbols}
\end{table}

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\begin{table}[!tbp]
\caption{Delimitadores AMS.}\label{AMSD}
\bigskip
\begin{symbols}{*4{cl}}
\X{\ulcorner}&amp;\X{\urcorner}&amp;\X{\llcorner}&amp;\X{\lrcorner}\\
\X{\lvert}&amp;\X{\rvert}&amp;\X{\lVert}&amp;\X{\rVert}
\end{symbols}
\end{table}

\begin{table}[!tbp]
\caption{SÃ­mbolos AMS griegos y hebreos.}
\begin{symbols}{*5{cl}}
\X{\digamma}     &amp;\X{\varkappa} &amp; \X{\beth} &amp;\X{\gimel} &amp; \X{\daleth}    
\end{symbols}
\end{table}

\begin{table}[!tbp]
\caption{Relaciones binarias AMS.}
\begin{symbols}{*3{cl}}
\X{\lessdot}             &amp; \X{\gtrdot}            &amp; \X{\doteqdot}         \\
\X{\leqslant}            &amp; \X{\geqslant}          &amp; \X{\risingdotseq}     \\
\X{\eqslantless}         &amp; \X{\eqslantgtr}        &amp; \X{\fallingdotseq}    \\
\X{\leqq}                &amp; \X{\geqq}              &amp; \X{\eqcirc}           \\
\X{\lll}o \verb|\llless| &amp; \X{\ggg}               &amp; \X{\circeq}           \\
\X{\lesssim}             &amp; \X{\gtrsim}            &amp; \X{\triangleq}        \\
\X{\lessapprox}          &amp; \X{\gtrapprox}         &amp; \X{\bumpeq}           \\
\X{\lessgtr}             &amp; \X{\gtrless}           &amp; \X{\Bumpeq}           \\
\X{\lesseqgtr}           &amp; \X{\gtreqless}         &amp; \X{\thicksim}         \\
\X{\lesseqqgtr}          &amp; \X{\gtreqqless}        &amp; \X{\thickapprox}      \\
\X{\preccurlyeq}         &amp; \X{\succcurlyeq}       &amp; \X{\approxeq}         \\
\X{\curlyeqprec}         &amp; \X{\curlyeqsucc}       &amp; \X{\backsim}          \\
\X{\precsim}             &amp; \X{\succsim}           &amp; \X{\backsimeq}        \\
\X{\precapprox}          &amp; \X{\succapprox}        &amp; \X{\vDash}            \\
\X{\subseteqq}           &amp; \X{\supseteqq}         &amp; \X{\Vdash}            \\
\X{\shortparallel}       &amp; \X{\Supset}            &amp; \X{\Vvdash}           \\
\X{\blacktriangleleft}   &amp; \X{\sqsupset}          &amp; \X{\backepsilon}      \\
\X{\vartriangleright}    &amp; \X{\because}           &amp; \X{\varpropto}        \\
\X{\blacktriangleright}  &amp; \X{\Subset}            &amp; \X{\between}          \\
\X{\trianglerighteq}     &amp; \X{\smallfrown}        &amp; \X{\pitchfork}        \\
\X{\vartriangleleft}     &amp; \X{\shortmid} 	      &amp; \X{\smallsmile} 	  \\
\X{\trianglelefteq}      &amp; \X{\therefore} 	      &amp; \X{\sqsubset}  
\end{symbols}
\end{table}

\begin{table}[!tbp]
\caption{Flechas AMS.}
\begin{symbols}{*2{cl}}
\X{\dashleftarrow}      &amp; \X{\dashrightarrow}     \\
\X{\leftleftarrows}     &amp; \X{\rightrightarrows}   \\
\X{\leftrightarrows}    &amp; \X{\rightleftarrows}    \\
\X{\Lleftarrow}         &amp; \X{\Rrightarrow}        \\
\X{\twoheadleftarrow}   &amp; \X{\twoheadrightarrow}  \\
\X{\leftarrowtail}      &amp; \X{\rightarrowtail}     \\
\X{\leftrightharpoons}  &amp; \X{\rightleftharpoons}  \\
\X{\Lsh}                &amp; \X{\Rsh}                \\
\X{\looparrowleft}      &amp; \X{\looparrowright}     \\
\X{\curvearrowleft}     &amp; \X{\curvearrowright}    \\
\X{\circlearrowleft}    &amp; \X{\circlearrowright}   \\
\X{\multimap}           &amp; \X{\upuparrows}        \\
\X{\downdownarrows}     &amp; \X{\upharpoonleft}      \\
\X{\upharpoonright}     &amp; \X{\downharpoonright}   \\
\X{\rightsquigarrow}    &amp; \X{\leftrightsquigarrow}\\
\end{symbols}
\end{table}

\begin{table}[!tbp]
\caption{Relaciones binarias y flechas negadas AMS.}\label{AMSNBR}
\begin{symbols}{*3{cl}}
 \X{\nless}           &amp; \X{\ngtr}            &amp; \X{\varsubsetneqq}    \\
 \X{\lneq}            &amp; \X{\gneq}            &amp; \X{\varsupsetneqq}    \\
 \X{\nleq}            &amp; \X{\ngeq}            &amp; \X{\nsubseteqq}       \\
 \X{\nleqslant}       &amp; \X{\ngeqslant}       &amp; \X{\nsupseteqq}       \\
 \X{\lneqq}           &amp; \X{\gneqq}           &amp; \X{\nmid}             \\
 \X{\lvertneqq}       &amp; \X{\gvertneqq}       &amp; \X{\nparallel}        \\
 \X{\nleqq}           &amp; \X{\ngeqq}           &amp; \X{\nshortmid}        \\
 \X{\lnsim}           &amp; \X{\gnsim}           &amp; \X{\nshortparallel}   \\
 \X{\lnapprox}        &amp; \X{\gnapprox}        &amp; \X{\nsim}             \\
 \X{\nprec}           &amp; \X{\nsucc}           &amp; \X{\ncong}            \\
 \X{\npreceq}         &amp; \X{\nsucceq}         &amp; \X{\nvdash}           \\
 \X{\precneqq}        &amp; \X{\succneqq}        &amp; \X{\nvDash}           \\
 \X{\precnsim}        &amp; \X{\succnsim}        &amp; \X{\nVdash}           \\
 \X{\precnapprox}     &amp; \X{\succnapprox}     &amp; \X{\nVDash}           \\
 \X{\subsetneq}       &amp; \X{\supsetneq}       &amp; \X{\ntriangleleft}    \\
 \X{\varsubsetneq}    &amp; \X{\varsupsetneq}    &amp; \X{\ntriangleright}   \\
 \X{\nsubseteq}       &amp; \X{\nsupseteq}       &amp; \X{\ntrianglelefteq}  \\
 \X{\subsetneqq}      &amp; \X{\supsetneqq}      &amp; \X{\ntrianglerighteq} \\[0.5ex]
 \X{\nleftarrow}      &amp; \X{\nrightarrow}     &amp; \X{\nleftrightarrow}  \\
 \X{\nLeftarrow}      &amp; \X{\nRightarrow}     &amp; \X{\nLeftrightarrow}
\end{symbols}
\end{table}

\begin{table}[!tbp]
\caption{Operadores binarios AMS.}
\begin{symbols}{*3{cl}}
\X{\dotplus}        &amp; \X{\centerdot}      &amp;                      \\
\X{\ltimes}         &amp; \X{\rtimes}         &amp; \X{\divideontimes}   \\
\X{\doublecup}      &amp; \X{\doublecap}	  &amp; \X{\smallsetminus}   \\
\X{\veebar}         &amp; \X{\barwedge}       &amp; \X{\doublebarwedge}  \\
\X{\boxplus}        &amp; \X{\boxminus}       &amp; \X{\circleddash}     \\
\X{\boxtimes}       &amp; \X{\boxdot}         &amp; \X{\circledcirc}     \\
\X{\intercal}       &amp; \X{\circledast}     &amp; \X{\rightthreetimes} \\
\X{\curlyvee}       &amp; \X{\curlywedge}     &amp; \X{\leftthreetimes}
\end{symbols}
\end{table}

\begin{table}[!tbp]
\caption{Variados AMS.}
\begin{symbols}{*3{cl}}
\X{\hbar}             &amp; \X{\hslash}           &amp; \X{\Bbbk}            \\
\X{\square}           &amp; \X{\blacksquare}      &amp; \X{\circledS}        \\
\X{\vartriangle}      &amp; \X{\blacktriangle}    &amp; \X{\complement}      \\
\X{\triangledown}     &amp;\X{\blacktriangledown} &amp; \X{\Game}            \\
\X{\lozenge}          &amp; \X{\blacklozenge}     &amp; \X{\bigstar}         \\
\X{\angle}            &amp; \X{\measuredangle}    &amp;                      \\
\X{\diagup}           &amp; \X{\diagdown}         &amp; \X{\backprime}       \\
\X{\nexists}          &amp; \X{\Finv}             &amp; \X{\varnothing}      \\
\X{\eth}              &amp; \X{\sphericalangle}   &amp; \X{\mho}              
\end{symbols}
\end{table}



\begin{table}[!tbp]
\caption{Alfabetos para matemÃ¡tico.}
\begin{symbols}{@{}*3l@{}}
Ejemplo &amp; Orden &amp; Paquete requerido\\
\hline
\rule{0pt}{1.05em}$\mathrm{ABCDE abcde 1234}$
        &amp; \verb|\mathrm{ABCDE abcde 1234}|
        &amp;  ninguno\\
$\mathit{ABCDE abcde 1234}$
        &amp; \verb|\mathit{ABCDE abcde 1234}|
        &amp;  ninguno\\
$\mathnormal{ABCDE abcde 1234}$
        &amp; \verb|\mathnormal{ABCDE abcde 1234}|
        &amp;  ninguno\\
$\mathcal{ABCDE abcde 1234}$
        &amp; \verb|\mathcal{ABCDE abcde 1234}|
        &amp;  ninguno\\
$\mathscr{ABCDE abcde 1234}$
        &amp;\verb|\mathscr{ABCDE abcde 1234}|
        &amp;\pai{mathrsfs}\\
$\mathfrak{ABCDE abcde 1234}$
        &amp; \verb|\mathfrak{ABCDE abcde 1234}|
        &amp;\pai{amsfonts}  o \textsf{amssymb}  \\
$\mathbb{ABCDE abcde 1234}$
        &amp; \verb|\mathbb{ABCDE abcde 1234}|
        &amp;\pai{amsfonts}  o \textsf{amssymb} \\
\end{symbols}
\end{table}

\endinput

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