%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % Contents: TeX and LaTeX and AMS symbols for Maths % $Id: F-7D46E8EB00B01472FC4BC13FE830DE34.tex,v 1.1 2008-04-24 16:22:57 carleos Exp $ %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{Lista de símbolos matemáticos} \label{symbols} Los siguientes cuadros muestran todos los símbolos normalmente accesibles desde \emph{modo matemático}. % % Conditional Text in case the AMS Fonts are installed % Para usar los símbolos listados en los cuadros~\ref{AMSD}-\ref{AMSNBR},\footnote{Estos cuadros provienen de \texttt{symbols.tex} de David~Carlisle y fueron cambiando mucho según las sugerencias de Josef~Tkadlec.} debe cargarse el paquete \pai{amssymb} en el preámbulo del documento y las \fontsnomo{} de la AMS deben estar instaladas en el sistema. Si el paquete y las \fontsnomo{} AMS no están instaladas en su sistema, mire en \CTANref|macros/latex/required/amslatex|. Una lista de símbolos aun más completa se puede hallar en \CTANref|info/symbols/comprehensive|. \begin{table}[!h] \caption{Acentos en modo matemático.} \label{mathacc} \begin{symbols}{*3{cl}} \W{\hat}{a} & \W{\check}{a} & \W{\tilde}{a} \\ \W{\grave}{a} & \W{\dot}{a} & \W{\ddot}{a} \\ \W{\bar}{a} & \W{\vec}{a} &\W{\widehat}{A} \\ \W{\acute}{a} & \W{\breve}{a} &\W{\widetilde}{A} \end{symbols} \end{table} \begin{table}[!h] \caption{Letras griegas.} \begin{symbols}{*4{cl}} \X{\alpha} & \X{\theta} & \X{o} & \X{\upsilon} \\ \X{\beta} & \X{\vartheta} & \X{\pi} & \X{\phi} \\ \X{\gamma} & \X{\iota} & \X{\varpi} & \X{\varphi} \\ \X{\delta} & \X{\kappa} & \X{\rho} & \X{\chi} \\ \X{\epsilon} & \X{\lambda} & \X{\varrho} & \X{\psi} \\ \X{\varepsilon} & \X{\mu} & \X{\sigma} & \X{\omega} \\ \X{\zeta} & \X{\nu} & \X{\varsigma} & \\ \X{\eta} & \X{\xi} & \X{\tau} & \\ \X{\Gamma} & \X{\Lambda} & \X{\Sigma} & \X{\Psi} \\ \X{\Delta} & \X{\Xi} & \X{\Upsilon} & \X{\Omega} \\ \X{\Theta} & \X{\Pi} & \X{\Phi} \end{symbols} \end{table} \begin{table}[!tbp] \caption{Relaciones binarias.} \bigskip Puede negar los símbolos siguientes prefijándolos con la orden \ci{not}. \begin{symbols}{*3{cl}} \X{<} & \X{>} & \X{=} \\ \X{\leq}or \verb|\le| & \X{\geq}or \verb|\ge| & \X{\equiv} \\ \X{\ll} & \X{\gg} & \X{\doteq} \\ \X{\prec} & \X{\succ} & \X{\sim} \\ \X{\preceq} & \X{\succeq} & \X{\simeq} \\ \X{\subset} & \X{\supset} & \X{\approx} \\ \X{\subseteq} & \X{\supseteq} & \X{\cong} \\ \X{\sqsubset}$^a$ & \X{\sqsupset}$^a$ & \X{\Join}$^a$ \\ \X{\sqsubseteq} & \X{\sqsupseteq} & \X{\bowtie} \\ \X{\in} & \X{\ni}, \verb|\owns| & \X{\propto} \\ \X{\vdash} & \X{\dashv} & \X{\models} \\ \X{\mid} & \X{\parallel} & \X{\perp} \\ \X{\smile} & \X{\frown} & \X{\asymp} \\ \X{:} & \X{\notin} & \X{\neq}or \verb|\ne| \end{symbols} \centerline{\footnotesize $^a$ Use el paquete \textsf{latexsym} para acceder a este símbolo} \end{table} \begin{table}[!tbp] \caption{Operadores binarios.} \begin{symbols}{*3{cl}} \X{+} & \X{-} & & \\ \X{\pm} & \X{\mp} & \X{\triangleleft} \\ \X{\cdot} & \X{\div} & \X{\triangleright}\\ \X{\times} & \X{\setminus} & \X{\star} \\ \X{\cup} & \X{\cap} & \X{\ast} \\ \X{\sqcup} & \X{\sqcap} & \X{\circ} \\ \X{\vee}, \verb|\lor| & \X{\wedge}, \verb|\land| & \X{\bullet} \\ \X{\oplus} & \X{\ominus} & \X{\diamond} \\ \X{\odot} & \X{\oslash} & \X{\uplus} \\ \X{\otimes} & \X{\bigcirc} & \X{\amalg} \\ \X{\bigtriangleup} &\X{\bigtriangledown} & \X{\dagger} \\ \X{\lhd}$^a$ & \X{\rhd}$^a$ & \X{\ddagger} \\ \X{\unlhd}$^a$ & \X{\unrhd}$^a$ & \X{\wr} \end{symbols} \end{table} \begin{table}[!tbp] \caption{Operadores GRANDES.} \begin{symbols}{*4{cl}} \X{\sum} & \X{\bigcup} & \X{\bigvee} \\ \X{\prod} & \X{\bigcap} & \X{\bigwedge} \\ \X{\coprod} & \X{\bigsqcup} & \X{\biguplus} \\ \X{\int} & \X{\oint} & \X{\bigodot} \\ \X{\bigoplus} & \X{\bigotimes} & \\ \end{symbols} \end{table} \begin{table}[!tbp] \caption{Flechas.} \begin{symbols}{*2{cl}} \X{\leftarrow}o \verb|\gets| & \X{\longleftarrow} \\ \X{\rightarrow}o \verb|\to| & \X{\longrightarrow} \\ \X{\leftrightarrow} & \X{\longleftrightarrow} \\ \X{\Leftarrow} & \X{\Longleftarrow} \\ \X{\Rightarrow} & \X{\Longrightarrow} \\ \X{\Leftrightarrow} & \X{\Longleftrightarrow} \\ \X{\mapsto} & \X{\longmapsto} \\ \X{\hookleftarrow} & \X{\hookrightarrow} \\ \X{\leftharpoonup} & \X{\rightharpoonup} \\ \X{\leftharpoondown} & \X{\rightharpoondown} \\ \X{\rightleftharpoons} & \X{\iff}(espacios mayores) \\ \X{\uparrow} & \X{\downarrow} \\ \X{\updownarrow} & \X{\Uparrow} \\ \X{\Downarrow} & \X{\Updownarrow} \\ \X{\nearrow} & \X{\searrow} \\ \X{\swarrow} & \X{\nwarrow} \\ \X{\leadsto}$^a$ \end{symbols} \centerline{\footnotesize $^a$ Use el paquete \textsf{latexsym} para acceder a este símbolo} \end{table} \begin{table}[!tbp] \caption{Delimitadores.}\label{tab:delimiters} \begin{symbols}{*3{cl}} \X{(} & \X{)} & \X{\uparrow} \\ \X{[}o \verb|\lbrack| & \X{]}o \verb|\rbrack| & \X{\downarrow} \\ \X{\{}o \verb|\lbrace| & \X{\}}o \verb|\rbrace| & \X{\updownarrow} \\ \X{\langle} & \X{\rangle} & \X{|}o \verb|\vert| \\ \X{\lfloor} & \X{\rfloor} & \X{\lceil} \\ \X{/} & \X{\backslash} & \X{\Updownarrow} \\ \X{\Uparrow} & \X{\Downarrow} & \X{\|}o \verb|\Vert| \\ \X{\rceil} \end{symbols} \end{table} \begin{table}[!tbp] \caption{Delimitadores grandes.} \begin{symbols}{*3{cl}} \Y{\lgroup} & \Y{\rgroup} & \Y{\lmoustache} \\ \Y{\arrowvert} & \Y{\Arrowvert} & \Y{\bracevert} \\ \Y{\rmoustache} \\ \end{symbols} \end{table} \begin{table}[!tbp] \caption{Símbolos variados.} \begin{symbols}{*4{cl}} \X{\dots} & \X{\cdots} & \X{\vdots} & \X{\ddots} \\ \X{\hbar} & \X{\imath} & \X{\jmath} & \X{\ell} \\ \X{\Re} & \X{\Im} & \X{\aleph} & \X{\wp} \\ \X{\forall} & \X{\exists} & \X{\mho}$^a$ & \X{\partial} \\ \X{'} & \X{\prime} & \X{\emptyset} & \X{\infty} \\ \X{\nabla} & \X{\triangle} & \X{\Box}$^a$ & \X{\Diamond}$^a$ \\ \X{\bot} & \X{\top} & \X{\angle} & \X{\surd} \\ \X{\diamondsuit} & \X{\heartsuit} & \X{\clubsuit} & \X{\spadesuit} \\ \X{\neg}or \verb|\lnot| & \X{\flat} & \X{\natural} & \X{\sharp} \end{symbols} \centerline{\footnotesize $^a$ Use el paquete \textsf{latexsym} para acceder a este símbolo} \end{table} \begin{table}[!tbp] \caption{Símbolos no matemáticos.} \bigskip Estos símbolos pueden usarse también en modo texto. \begin{symbols}{*4{cl}} \SC{\dag} & \SC{\S} & \SC{\copyright} & \SC{\textregistered} \\ \SC{\ddag} & \SC{\P} & \SC{\pounds} & \SC{\%} \\ \end{symbols} \end{table} % % % If the AMS Stuff is not available, we drop out right here :-) % \begin{table}[!tbp] \caption{Delimitadores AMS.}\label{AMSD} \bigskip \begin{symbols}{*4{cl}} \X{\ulcorner}&\X{\urcorner}&\X{\llcorner}&\X{\lrcorner}\\ \X{\lvert}&\X{\rvert}&\X{\lVert}&\X{\rVert} \end{symbols} \end{table} \begin{table}[!tbp] \caption{Símbolos AMS griegos y hebreos.} \begin{symbols}{*5{cl}} \X{\digamma} &\X{\varkappa} & \X{\beth} &\X{\gimel} & \X{\daleth} \end{symbols} \end{table} \begin{table}[!tbp] \caption{Relaciones binarias AMS.} \begin{symbols}{*3{cl}} \X{\lessdot} & \X{\gtrdot} & \X{\doteqdot} \\ \X{\leqslant} & \X{\geqslant} & \X{\risingdotseq} \\ \X{\eqslantless} & \X{\eqslantgtr} & \X{\fallingdotseq} \\ \X{\leqq} & \X{\geqq} & \X{\eqcirc} \\ \X{\lll}o \verb|\llless| & \X{\ggg} & \X{\circeq} \\ \X{\lesssim} & \X{\gtrsim} & \X{\triangleq} \\ \X{\lessapprox} & \X{\gtrapprox} & \X{\bumpeq} \\ \X{\lessgtr} & \X{\gtrless} & \X{\Bumpeq} \\ \X{\lesseqgtr} & \X{\gtreqless} & \X{\thicksim} \\ \X{\lesseqqgtr} & \X{\gtreqqless} & \X{\thickapprox} \\ \X{\preccurlyeq} & \X{\succcurlyeq} & \X{\approxeq} \\ \X{\curlyeqprec} & \X{\curlyeqsucc} & \X{\backsim} \\ \X{\precsim} & \X{\succsim} & \X{\backsimeq} \\ \X{\precapprox} & \X{\succapprox} & \X{\vDash} \\ \X{\subseteqq} & \X{\supseteqq} & \X{\Vdash} \\ \X{\shortparallel} & \X{\Supset} & \X{\Vvdash} \\ \X{\blacktriangleleft} & \X{\sqsupset} & \X{\backepsilon} \\ \X{\vartriangleright} & \X{\because} & \X{\varpropto} \\ \X{\blacktriangleright} & \X{\Subset} & \X{\between} \\ \X{\trianglerighteq} & \X{\smallfrown} & \X{\pitchfork} \\ \X{\vartriangleleft} & \X{\shortmid} & \X{\smallsmile} \\ \X{\trianglelefteq} & \X{\therefore} & \X{\sqsubset} \end{symbols} \end{table} \begin{table}[!tbp] \caption{Flechas AMS.} \begin{symbols}{*2{cl}} \X{\dashleftarrow} & \X{\dashrightarrow} \\ \X{\leftleftarrows} & \X{\rightrightarrows} \\ \X{\leftrightarrows} & \X{\rightleftarrows} \\ \X{\Lleftarrow} & \X{\Rrightarrow} \\ \X{\twoheadleftarrow} & \X{\twoheadrightarrow} \\ \X{\leftarrowtail} & \X{\rightarrowtail} \\ \X{\leftrightharpoons} & \X{\rightleftharpoons} \\ \X{\Lsh} & \X{\Rsh} \\ \X{\looparrowleft} & \X{\looparrowright} \\ \X{\curvearrowleft} & \X{\curvearrowright} \\ \X{\circlearrowleft} & \X{\circlearrowright} \\ \X{\multimap} & \X{\upuparrows} \\ \X{\downdownarrows} & \X{\upharpoonleft} \\ \X{\upharpoonright} & \X{\downharpoonright} \\ \X{\rightsquigarrow} & \X{\leftrightsquigarrow}\\ \end{symbols} \end{table} \begin{table}[!tbp] \caption{Relaciones binarias y flechas negadas AMS.}\label{AMSNBR} \begin{symbols}{*3{cl}} \X{\nless} & \X{\ngtr} & \X{\varsubsetneqq} \\ \X{\lneq} & \X{\gneq} & \X{\varsupsetneqq} \\ \X{\nleq} & \X{\ngeq} & \X{\nsubseteqq} \\ \X{\nleqslant} & \X{\ngeqslant} & \X{\nsupseteqq} \\ \X{\lneqq} & \X{\gneqq} & \X{\nmid} \\ \X{\lvertneqq} & \X{\gvertneqq} & \X{\nparallel} \\ \X{\nleqq} & \X{\ngeqq} & \X{\nshortmid} \\ \X{\lnsim} & \X{\gnsim} & \X{\nshortparallel} \\ \X{\lnapprox} & \X{\gnapprox} & \X{\nsim} \\ \X{\nprec} & \X{\nsucc} & \X{\ncong} \\ \X{\npreceq} & \X{\nsucceq} & \X{\nvdash} \\ \X{\precneqq} & \X{\succneqq} & \X{\nvDash} \\ \X{\precnsim} & \X{\succnsim} & \X{\nVdash} \\ \X{\precnapprox} & \X{\succnapprox} & \X{\nVDash} \\ \X{\subsetneq} & \X{\supsetneq} & \X{\ntriangleleft} \\ \X{\varsubsetneq} & \X{\varsupsetneq} & \X{\ntriangleright} \\ \X{\nsubseteq} & \X{\nsupseteq} & \X{\ntrianglelefteq} \\ \X{\subsetneqq} & \X{\supsetneqq} & \X{\ntrianglerighteq} \\[0.5ex] \X{\nleftarrow} & \X{\nrightarrow} & \X{\nleftrightarrow} \\ \X{\nLeftarrow} & \X{\nRightarrow} & \X{\nLeftrightarrow} \end{symbols} \end{table} \begin{table}[!tbp] \caption{Operadores binarios AMS.} \begin{symbols}{*3{cl}} \X{\dotplus} & \X{\centerdot} & \\ \X{\ltimes} & \X{\rtimes} & \X{\divideontimes} \\ \X{\doublecup} & \X{\doublecap} & \X{\smallsetminus} \\ \X{\veebar} & \X{\barwedge} & \X{\doublebarwedge} \\ \X{\boxplus} & \X{\boxminus} & \X{\circleddash} \\ \X{\boxtimes} & \X{\boxdot} & \X{\circledcirc} \\ \X{\intercal} & \X{\circledast} & \X{\rightthreetimes} \\ \X{\curlyvee} & \X{\curlywedge} & \X{\leftthreetimes} \end{symbols} \end{table} \begin{table}[!tbp] \caption{Variados AMS.} \begin{symbols}{*3{cl}} \X{\hbar} & \X{\hslash} & \X{\Bbbk} \\ \X{\square} & \X{\blacksquare} & \X{\circledS} \\ \X{\vartriangle} & \X{\blacktriangle} & \X{\complement} \\ \X{\triangledown} &\X{\blacktriangledown} & \X{\Game} \\ \X{\lozenge} & \X{\blacklozenge} & \X{\bigstar} \\ \X{\angle} & \X{\measuredangle} & \\ \X{\diagup} & \X{\diagdown} & \X{\backprime} \\ \X{\nexists} & \X{\Finv} & \X{\varnothing} \\ \X{\eth} & \X{\sphericalangle} & \X{\mho} \end{symbols} \end{table} \begin{table}[!tbp] \caption{Alfabetos para matemático.} \begin{symbols}{@{}*3l@{}} Ejemplo & Orden & Paquete requerido\\ \hline \rule{0pt}{1.05em}$\mathrm{ABCDE abcde 1234}$ & \verb|\mathrm{ABCDE abcde 1234}| & ninguno\\ $\mathit{ABCDE abcde 1234}$ & \verb|\mathit{ABCDE abcde 1234}| & ninguno\\ $\mathnormal{ABCDE abcde 1234}$ & \verb|\mathnormal{ABCDE abcde 1234}| & ninguno\\ $\mathcal{ABCDE abcde 1234}$ & \verb|\mathcal{ABCDE abcde 1234}| & ninguno\\ $\mathscr{ABCDE abcde 1234}$ &\verb|\mathscr{ABCDE abcde 1234}| &\pai{mathrsfs}\\ $\mathfrak{ABCDE abcde 1234}$ & \verb|\mathfrak{ABCDE abcde 1234}| &\pai{amsfonts} o \textsf{amssymb} \\ $\mathbb{ABCDE abcde 1234}$ & \verb|\mathbb{ABCDE abcde 1234}| &\pai{amsfonts} o \textsf{amssymb} \\ \end{symbols} \end{table} \endinput % % Local Variables: % TeX-master: "lshort2e" % mode: latex % mode: flyspell % End: