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% Contents: TeX and LaTeX and AMS symbols for Maths
% $Id: lssym.tex,v 1.2 1996/01/25 14:01:06 oetiker Exp oetiker $
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\section{Zoznam matematických symbolov}  \label{symbols}

V~nasledujúcich tabuľkách nájdete zoznam všetkých symbolov bežne
dostupných v~\emph{matematickom režime}.

%
% Podmienený text v prípade, že sú nainštalované AMS fonty
%
\ifx\noAMS\relax Aby ste mohli použiť symboly uvedené
v~tabuľkách~\ref{AMSD}--\ref{AMSNBR}\footnote{Tieto tabuľky boli
odvodené zo súboru \texttt{symbols.tex}, vytvoreného
Davidom~Carlisleom a neskôr zmeneného a doplneného na návrh
Jozefa~Tkadleca.}, musíte v hlavičke zdrojového súboru natiahnuť 
balík \pai{amssymb} a musíte mať vo svojom
systéme nainštalované matematické \AmS{} fonty. V~prípade, že
uvedený balík ani fonty vo vašom systéme nainštalované nemáte, sú
dostupné na adrese \\
\texttt{CTAN:/tex-archive/macros/latex/packages/amslatex}\fi

\begin{table}[!ht]
\caption{Diakritika v~matematickom režime}  \label{mathacc}
\begin{symbols}{*4{cl}}
\W{\hat}{a}   & \W{\check}{a} & \W{\tilde}{a} & \W{\acute}{a} \\
\W{\grave}{a} & \W{\dot}{a}   & \W{\ddot}{a}  & \W{\widehat}{A} \\
\W{\bar}{a}   & \W{\vec}{a}   & \W{\breve}{a} &\W{\widetilde}{A}\\
\end{symbols}
\end{table}

\begin{table}[!h]
\caption{Malé grécke písmená}
\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}
\end{symbols}
\end{table}

\begin{table}[!h]
\caption{Veľké grécke písmená}
\begin{symbols}{*4{cl}}
 \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}

\clearpage

\begin{table}[!tbp]
\caption{Binárne relácie}
\bigskip
Príslušné negácie môžete vytvoriť prídaním príkazu \verb|\not|
ako predpony pred nasledujúce symboly.
\begin{symbols}{*3{cl}}
 \X{<}           & \X{>}           & \X{=}          \\
 \X{\leq} aj \verb|\le| & \X{\geq} aj \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{\in}  & \X{\Join}$^a$    \\
 \X{\sqsubseteq} & \X{\vdash}   & \X{\bowtie}    \\
 \X{\sqsupset}$^a$ & \X{\ni}, \verb|\owns|  & \X{\propto}    \\
 \X{\sqsupseteq} & \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 $^a$Na dosiahnutie tohto symbolu
použite balík \textsf{latexsym}}
\end{table}

\begin{table}[!tbp]
\caption{Binárne operátory}
\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{Veľké operátory}
\begin{symbols}{*4{cl}}
 \X{\sum}      & \X{\bigcup}   & \X{\bigvee}   & \X{\bigoplus}\\
 \X{\prod}     & \X{\bigcap}   & \X{\bigwedge} &\X{\bigotimes}\\
 \X{\coprod}   & \X{\bigsqcup} & &             & \X{\bigodot} \\
 \X{\int}      & \X{\oint}     & &             & \X{\biguplus}
\end{symbols}
\end{table}

\begin{table}[!tbp]
\caption{Šípky}{\addtolength\tabcolsep{-1mm}
\begin{symbols}{*3{cl}}
 \X{\leftarrow}aj \verb|\gets|& \X{\longleftarrow}     & \X{\uparrow}    \\
 \X{\rightarrow}aj \verb|\to|& \X{\longrightarrow}    & \X{\downarrow}   \\
 \X{\longleftrightarrow} & \X{\leftrightarrow}& \X{\updownarrow}      \\
 \X{\Longleftarrow} & \X{\Leftarrow}             & \X{\Uparrow}          \\
 \X{\Longrightarrow}  &\X{\Rightarrow}      & \X{\Downarrow}        \\
 \X{\Longleftrightarrow} & \X{\Leftrightarrow}   & \X{\Updownarrow}      \\
 \X{\iff}(väčšie medzery) & \X{\mapsto}          & \X{\longmapsto}     \\
 \X{\hookleftarrow}     & \X{\hookrightarrow}    & \X{\searrow}          \\
 \X{\rightharpoondown}  & \X{\rightharpoonup}    & \X{\swarrow}          \\
 \X{\leftharpoondown}   & \X{\leftharpoonup}  & \X{\nwarrow}          \\
 \X{\rightleftharpoons} & \X{\leadsto}$^a$       & \X{\nearrow}
\end{symbols}}
\centerline{\footnotesize $^a$Na dosiahnutie tohto symbolu
použite balík \textsf{latexsym}}
\end{table}


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

\begin{table}[!tbp]
\caption{Veľké oddeľovače}
\begin{symbols}{*4{cl}}
 \Y{\lgroup}      & \Y{\rmoustache}  & \Y{\lmoustache}
 &  \Y{\bracevert}\\
\Y{\rgroup} & \Y{\arrowvert}   & \Y{\Arrowvert}  &
\end{symbols}
\end{table}


\begin{table}[!tbp]
\caption{Rôzne znaky}
\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{\angle}    \\
\X{\spadesuit}   & \X{\emptyset} & \X{\Diamond}$^a$ & \X{\prime} \\
\X{\clubsuit}    & \X{\triangle} & \X{\Box}$^a$ & \X{'}   \\
\X{\heartsuit}   & \X{\top}      & \X{\partial} & \X{\surd}      \\
\X{\diamondsuit} & \X{\bot}      & \X{\nabla}   & \X{\infty} \\
 \X{\neg}aj \verb|\lnot| & \X{\flat} & \X{\natural} & \X{\sharp}
\end{symbols}
\centerline{\footnotesize $^a$Na dosiahnutie tohto symbolu
použite balík \textsf{latexsym}}
\end{table}


\begin{table}[!tbp]
\caption{Nematematické znaky}
\bigskip
Tieto znaky sa môžu používať aj v~textovom režime.
\begin{symbols}{*3{cl}}
\SC{\dag} & \SC{\S} & \SC{\copyright}  \\
\SC{\ddag} & \SC{\P} & \SC{\pounds}  \\
\end{symbols}
\end{table}

%
% Ak produkty AMS nie sú dostupné, vypadáme priamo tu :-)
% If the AMS Stuff is not available, we drop out right here :-)
%
\noAMS


\begin{table}[!tbp]
\caption{\AmS{} oddeľovače}\label{AMSD}
\bigskip
\begin{symbols}{*4{cl}}
\X{\ulcorner}&\X{\urcorner}&\X{\llcorner}&\X{\lrcorner}
\end{symbols}
\end{table}


\begin{table}[!tbp]
\caption{\AmS{} grécke a hebrejské znaky}
\begin{symbols}{*5{cl}}
\X{\digamma} &\X{\varkappa} & \X{\beth}& \X{\daleth} &\X{\gimel}
\end{symbols}
\end{table}

\begin{table}[!tbp]
\caption{\AmS{} binárne relácie}
\begin{symbols}{*3{cl}}
\X{\doteqdot}aj \verb|\Doteq| & \X{\lessdot} & \X{\gtrdot}  \\
 \X{\leqslant}         & \X{\geqslant}       & \X{\risingdotseq}     \\
 \X{\eqslantless}       & \X{\eqslantgtr}    & \X{\fallingdotseq}    \\
 \X{\leqq}              & \X{\geqq}          & \X{\eqcirc}           \\
 \X{\lll}aj \verb|\llless|& \X{\circeq}      &  \X{\lesssim}  \\
\X{\ggg}aj \verb|\gggtr|& \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{\Subset}            & \X{\Supset}        & \X{\Vvdash}           \\
\X{\blacktriangleleft}  & \X{\sqsubset}      & \X{\sqsupset}    \\
 \X{\blacktriangleright}& \X{\because}       & \X{\varpropto}        \\
 \X{\vartriangleright}  & \X{\shortparallel} & \X{\between}          \\
 \X{\trianglerighteq}   & \X{\smallfrown}    & \X{\pitchfork}        \\
 \X{\vartriangleleft}   & \X{\shortmid}      &  \X{\backepsilon}    \\
 \X{\trianglelefteq}    & \X{\smallsmile}    &  \X{\therefore}
\end{symbols}
\end{table}

\begin{table}[!tbp]
\caption{\AmS{} šípky}{\addtolength\tabcolsep{-1mm}
\begin{symbols}{*3{cl}}
 \X{\dashleftarrow}      & \X{\dashrightarrow}     & \X{\multimap}          \\
 \X{\leftleftarrows}     & \X{\rightrightarrows}   & \X{\upuparrows}        \\
 \X{\leftrightarrows}    & \X{\rightleftarrows}    & \X{\downdownarrows}    \\
 \X{\Lleftarrow}         & \X{\Rrightarrow}        & \X{\upharpoonleft}     \\
 \X{\twoheadleftarrow}   & \X{\twoheadrightarrow}  & \X{\upharpoonright}    \\
 \X{\leftarrowtail}      & \X{\rightarrowtail}     & \X{\downharpoonleft}   \\
 \X{\leftrightharpoons}  & \X{\rightleftharpoons}  & \X{\downharpoonright}  \\
 \X{\leftrightsquigarrow}& \X{\rightsquigarrow}    & \X{\Lsh}		    \\
 \X{\looparrowleft}      & \X{\looparrowright}     & \X{\Rsh}		    \\
 \X{\curvearrowleft}     & \X{\curvearrowright}    &                        \\
 \X{\circlearrowleft}    & \X{\circlearrowright}   &                        \\
\end{symbols}}
\end{table}

\begin{table}[!tbp]
\caption{\AmS{} negované binárne relácie a šípky}\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{\AmS{} binárne operátory}
\begin{symbols}{*3{cl}}
 \X{\dotplus}        & \X{\centerdot}      & \X{\intercal}      \\
 \X{\ltimes}         & \X{\rtimes}         & \X{\divideontimes} \\
 \X{\barwedge}       & \X{\Cap} aj \verb|\doublecap|& \X{\boxminus}\\
 \X{\veebar}         & \X{\Cup} aj \verb|\doublecup|& \X{\boxdot}  \\
 \X{\boxplus}        & \X{\smallsetminus}  & \X{\circleddash}   \\
 \X{\boxtimes}       & \X{\doublebarwedge} & \X{\circledcirc}   \\
 \X{\leftthreetimes} & \X{\rightthreetimes}& \X{\circledast}    \\
 \X{\curlyvee}       & \X{\curlywedge}
\end{symbols}
\end{table}

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



\begin{table}[!tbp]
\caption{Matematické abecedy}
\begin{symbols}{@{}*3l@{}}
Príklad& Príkaz &Potrebný balík\\
\hline
\rule{0pt}{1.05em}$\mathrm{ABCdef}$
        & \verb|\mathrm{ABCdef}|
        &       \\
$\mathit{ABCdef}$
        & \verb|\mathit{ABCdef}|
        &       \\
$\mathnormal{ABCdef}$
        & \verb|\mathnormal{ABCdef}|
        &       \\
$\mathcal{ABC}$
        & \verb|\mathcal{ABC}|
        &       \\
\ifx\MathRSFS\undefined\else
$\MathRSFS{ABC}$
        &\verb|\mathcal{ABC}|
        &\pai{mathrsfs}\\
\fi
\ifx\EuScript\undefined\else
$\EuScript{ABC}$
        & \verb|\mathcal{ABC}|
        &\pai{eucal} s: \textsf{mathcal}  \quad alebo\\
        & \verb|\mathscr{ABC}|
        &\pai{eucal} s: \textsf{mathscr}\\
$\mathfrak{ABCdef}$
        & \verb|\mathfrak{ABCdef}|
        &\pai{eufrak}                \\
\fi
$\mathbb{ABC}$
        & \verb|\mathbb{ABC}|
        &\pai{amsfonts} alebo \textsf{amssymb}        \\
\end{symbols}
\end{table}


\endinput

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