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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}   &amp; \W{\check}{a} &amp; \W{\tilde}{a} &amp; \W{\acute}{a} \\
\W{\grave}{a} &amp; \W{\dot}{a}   &amp; \W{\ddot}{a}  &amp; \W{\widehat}{A} \\
\W{\bar}{a}   &amp; \W{\vec}{a}   &amp; \W{\breve}{a} &amp;\W{\widetilde}{A}\\
\end{symbols}
\end{table}

\begin{table}[!h]
\caption{Malé grécke písmená}
\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; &amp;             \\
 \X{\eta}       &amp; \X{\xi}        &amp; \X{\tau}
\end{symbols}
\end{table}

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

\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{&lt;}           &amp; \X{&gt;}           &amp; \X{=}          \\
 \X{\leq} aj \verb|\le| &amp; \X{\geq} aj \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{\in}  &amp; \X{\Join}$^a$    \\
 \X{\sqsubseteq} &amp; \X{\vdash}   &amp; \X{\bowtie}    \\
 \X{\sqsupset}$^a$ &amp; \X{\ni}, \verb|\owns|  &amp; \X{\propto}    \\
 \X{\sqsupseteq} &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 $^a$Na dosiahnutie tohto symbolu
použite balík \textsf{latexsym}}
\end{table}

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

\begin{table}[!tbp]
\caption{Šípky}{\addtolength\tabcolsep{-1mm}
\begin{symbols}{*3{cl}}
 \X{\leftarrow}aj \verb|\gets|&amp; \X{\longleftarrow}     &amp; \X{\uparrow}    \\
 \X{\rightarrow}aj \verb|\to|&amp; \X{\longrightarrow}    &amp; \X{\downarrow}   \\
 \X{\longleftrightarrow} &amp; \X{\leftrightarrow}&amp; \X{\updownarrow}      \\
 \X{\Longleftarrow} &amp; \X{\Leftarrow}             &amp; \X{\Uparrow}          \\
 \X{\Longrightarrow}  &amp;\X{\Rightarrow}      &amp; \X{\Downarrow}        \\
 \X{\Longleftrightarrow} &amp; \X{\Leftrightarrow}   &amp; \X{\Updownarrow}      \\
 \X{\iff}(väčšie medzery) &amp; \X{\mapsto}          &amp; \X{\longmapsto}     \\
 \X{\hookleftarrow}     &amp; \X{\hookrightarrow}    &amp; \X{\searrow}          \\
 \X{\rightharpoondown}  &amp; \X{\rightharpoonup}    &amp; \X{\swarrow}          \\
 \X{\leftharpoondown}   &amp; \X{\leftharpoonup}  &amp; \X{\nwarrow}          \\
 \X{\rightleftharpoons} &amp; \X{\leadsto}$^a$       &amp; \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{)}            &amp; \X{\uparrow} &amp; \X{\Uparrow}    \\
 \X{]}aj \verb|\rbrack|  &amp; \X{\downarrow}   &amp; \X{\Downarrow}  \\
 \X{\}}aj \verb|\rbrace|  &amp; \X{\updownarrow} &amp; \X{\Updownarrow}\\
 \X{\rangle}  &amp; \X{|}aj \verb|\vert| &amp;\X{\|}aj \verb|\Vert|\\
 \X{\rfloor}      &amp; \X{\lceil}       &amp; \X{\rceil}      \\
 \X{(} &amp;  \X{[}aj \verb|\lbrack| &amp;  \X{\{}aj \verb|\lbrace| \\
 \X{\langle} &amp;  \X{\lfloor} &amp;  \X{/} \\
 \X{\backslash}   &amp; &amp;. (prázdny doplnok)
\end{symbols}
\end{table}

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


\begin{table}[!tbp]
\caption{Rôzne znaky}
\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{\angle}    \\
\X{\spadesuit}   &amp; \X{\emptyset} &amp; \X{\Diamond}$^a$ &amp; \X{\prime} \\
\X{\clubsuit}    &amp; \X{\triangle} &amp; \X{\Box}$^a$ &amp; \X{'}   \\
\X{\heartsuit}   &amp; \X{\top}      &amp; \X{\partial} &amp; \X{\surd}      \\
\X{\diamondsuit} &amp; \X{\bot}      &amp; \X{\nabla}   &amp; \X{\infty} \\
 \X{\neg}aj \verb|\lnot| &amp; \X{\flat} &amp; \X{\natural} &amp; \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} &amp; \SC{\S} &amp; \SC{\copyright}  \\
\SC{\ddag} &amp; \SC{\P} &amp; \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}&amp;\X{\urcorner}&amp;\X{\llcorner}&amp;\X{\lrcorner}
\end{symbols}
\end{table}


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

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

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

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

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



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


\endinput

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