%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % Contents: TeX and LaTeX and AMS symbols for Maths % $Id: lssym.tex,v 1.2 1996/01/25 14:01:06 oetiker Exp oetiker $ %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \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 %%% Local Variables: %%% mode: latex %%% TeX-master: "lshort2e" %%% End: