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% Contents: TeX and LaTeX and AMS symbols for Maths
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\section{Matemaattisten symbolien lista} \label{symbols}
Seuraavista taulukoista löytyvät kaikki \emph{matematiikkatilassa}
normaalisti saatavilla olevat symbolit.
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% Conditional Text in case the AMS Fonts are installed
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Jotta taulukoissa~\ref{AMSD}--\ref{AMSNBR},\footnote{Nämä
taulukot on otettu David Carlislen tiedostosta \texttt{symbols.tex}, jota on muutettu
Josef Tkadlecin ehdotusten mukaisesti.} listattuja symboleja voidaan
käyttää on dokumentin esittelyosassa ladattava makropakkaus \pai{amssymb}
ja AMS:n matematiikkakirjasinten on oltava asennettuina järjestelmään.
Mikäli AMS:n makroja ja kirjasimia ei ole asennettu, katso\\
\CTANref|macros/latex/packages/amslatex|. Vielä tätäkin täydellisempi
lista löytyy osoitteesta \CTANref|info/symbols/comprehensive|.
\begin{table}[!h]
\caption{Matematiikkatilan aksentit} \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{\breve}{a} \\
\W{\bar}{a} &\W{\vec}{a} &\W{\widehat}{A}&\W{\widetilde}{A}\\
\end{symbols}
\end{table}
\begin{table}[!h]
\caption{Pienet kreikkalaiset kirjaimet}
\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{Isot kreikkalaiset kirjaimet}
\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{Binäärirelaatiot}
\bigskip
Vastaavat negaatiot saadaan lisäämällä \ci{not}-komento symbolin
eteen.
\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 $^a$Käytä \textsf{latexsym}-pakkausta tämän symbolin
saamiseksi}
\end{table}
\begin{table}[!tbp]
\caption{Binäärioperaattorit}
\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{ISOT operaattorit}
\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{Nuolet}
\begin{symbols}{*3{cl}}
\X{\leftarrow}or \verb|\gets|& \X{\longleftarrow} & \X{\uparrow} \\
\X{\rightarrow}or \verb|\to|& \X{\longrightarrow} & \X{\downarrow} \\
\X{\leftrightarrow} & \X{\longleftrightarrow}& \X{\updownarrow} \\
\X{\Leftarrow} & \X{\Longleftarrow} & \X{\Uparrow} \\
\X{\Rightarrow} & \X{\Longrightarrow} & \X{\Downarrow} \\
\X{\Leftrightarrow} & \X{\Longleftrightarrow}& \X{\Updownarrow} \\
\X{\mapsto} & \X{\longmapsto} & \X{\nearrow} \\
\X{\hookleftarrow} & \X{\hookrightarrow} & \X{\searrow} \\
\X{\leftharpoonup} & \X{\rightharpoonup} & \X{\swarrow} \\
\X{\leftharpoondown} & \X{\rightharpoondown} & \X{\nwarrow} \\
\X{\rightleftharpoons} & \X{\iff}(bigger spaces)& \X{\leadsto}$^a$
\end{symbols}
\centerline{\footnotesize $^a$Käytä \textsf{latexsym}-pakkausta tämän symbolin
saamiseksi}
\end{table}
\begin{table}[!tbp]
\caption{Erottimet}\label{tab:delimiters}
\begin{symbols}{*4{cl}}
\X{(} & \X{)} & \X{\uparrow} & \X{\Uparrow} \\
\X{[}or \verb|\lbrack| & \X{]}or \verb|\rbrack| & \X{\downarrow} & \X{\Downarrow} \\
\X{\{}or \verb|\lbrace| & \X{\}}or \verb|\rbrace| & \X{\updownarrow} & \X{\Updownarrow}\\
\X{\langle} & \X{\rangle} & \X{|}or \verb|\vert| &\X{\|}or \verb|\Vert|\\
\X{\lfloor} & \X{\rfloor} & \X{\lceil} & \X{\rceil} \\
\X{/} & \X{\backslash} & &. (dual. tyhjä)
\end{symbols}
\end{table}
\begin{table}[!tbp]
\caption{Isot erottimet}
\begin{symbols}{*4{cl}}
\Y{\lgroup} & \Y{\rgroup} & \Y{\lmoustache} & \Y{\rmoustache} \\
\Y{\arrowvert} & \Y{\Arrowvert} & \Y{\bracevert}
\end{symbols}
\end{table}
\begin{table}[!tbp]
\caption{Sekalaisia symboleja}
\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 $^a$Käytä \textsf{latexsym}-pakkausta tämän
symbolin saamiseksi}
\end{table}
\begin{table}[!tbp]
\caption{Ei-matemaattisia symboleja}
\bigskip
Näitä symboleja voidaan käyttää myös tekstitilassa.
\begin{symbols}{*4{cl}}
\SC{\dag} & \SC{\S} & \SC{\copyright} & \SC{\textregistered} \\
\SC{\ddag} & \SC{\P} & \SC{\pounds} & \SC{\%} \\
\end{symbols}
\end{table}
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\begin{table}[!tbp]
\caption{AMS:n rajoittimet}\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{AMS:n kreikkalaiset ja heprealaiset kirjaimet}
\begin{symbols}{*5{cl}}
\X{\digamma} &\X{\varkappa} & \X{\beth}& \X{\daleth} &\X{\gimel}
\end{symbols}
\end{table}
\begin{table}[!tbp]
\caption{AMS:n binäärirelaatiot}
\begin{symbols}{*3{cl}}
\X{\lessdot} & \X{\gtrdot} & \X{\doteqdot}or \verb|\Doteq| \\
\X{\leqslant} & \X{\geqslant} & \X{\risingdotseq} \\
\X{\eqslantless} & \X{\eqslantgtr} & \X{\fallingdotseq} \\
\X{\leqq} & \X{\geqq} & \X{\eqcirc} \\
\X{\lll}or \verb|\llless| & \X{\ggg}or \verb|\gggtr| & \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{\Subset} & \X{\Supset} & \X{\Vvdash} \\
\X{\sqsubset} & \X{\sqsupset} & \X{\backepsilon} \\
\X{\therefore} & \X{\because} & \X{\varpropto} \\
\X{\shortmid} & \X{\shortparallel} & \X{\between} \\
\X{\smallsmile} & \X{\smallfrown} & \X{\pitchfork} \\
\X{\vartriangleleft} & \X{\vartriangleright} & \X{\blacktriangleleft}\\
\X{\trianglelefteq} & \X{\trianglerighteq} &\X{\blacktriangleright}
\end{symbols}
\end{table}
\begin{table}[!tbp]
\caption{AMS:n nuolet}
\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{\Lsh} & \X{\Rsh} & \X{\rightsquigarrow} \\
\X{\looparrowleft} & \X{\looparrowright} &\X{\leftrightsquigarrow}\\
\X{\curvearrowleft} & \X{\curvearrowright} & & \\
\X{\circlearrowleft} & \X{\circlearrowright} & &
\end{symbols}
\end{table}
\begin{table}[!tbp]
\caption{AMS:n binäärirelaatiot ja nuolet negaatiolla}\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:n binäärioperaattorit}
\begin{symbols}{*3{cl}}
\X{\dotplus} & \X{\centerdot} & \X{\intercal} \\
\X{\ltimes} & \X{\rtimes} & \X{\divideontimes} \\
\X{\Cup}or \verb|\doublecup|& \X{\Cap}or \verb|\doublecap|& \X{\smallsetminus} \\
\X{\veebar} & \X{\barwedge} & \X{\doublebarwedge}\\
\X{\boxplus} & \X{\boxminus} & \X{\circleddash} \\
\X{\boxtimes} & \X{\boxdot} & \X{\circledcirc} \\
\X{\leftthreetimes} & \X{\rightthreetimes}& \X{\circledast} \\
\X{\curlyvee} & \X{\curlywedge}
\end{symbols}
\end{table}
\begin{table}[!tbp]
\caption{AMS:n sekalaiset symbolit}
\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{\sphericalangle} \\
\X{\diagup} & \X{\diagdown} & \X{\backprime} \\
\X{\nexists} & \X{\Finv} & \X{\varnothing} \\
\X{\eth} & \X{\mho}
\end{symbols}
\end{table}
\begin{table}[!tbp]
\caption{Matemaattiset kirjaimistot.}
\begin{symbols}{@{}*3l@{}}
Esimerkki& Komento &Tarvittava makropakkaus\\
\hline
\rule{0pt}{1.05em}$\mathrm{ABCDE abcde 1234}$
& \verb|\mathrm{ABCDE abcde 1234}|
& \\
$\mathit{ABCDE abcde 1234}$
& \verb|\mathit{ABCDE abcde 1234}|
& \\
$\mathnormal{ABCDE abcde 1234}$
& \verb|\mathnormal{ABCDE abcde 1234}|
& \\
$\mathcal{ABCDE abcde 1234}$
& \verb|\mathcal{ABCDE abcde 1234}|
& \\
$\mathscr{ABCDE abcde 1234}$
&\verb|\mathscr{ABCDE abcde 1234}|
&\pai{mathrsfs}\\
$\mathfrak{ABCDE abcde 1234}$
& \verb|\mathfrak{ABCDE abcde 1234}|
&\pai{amsfonts} tai \textsf{amssymb} \\
$\mathbb{ABCDE abcde 1234}$
& \verb|\mathbb{ABCDE abcde 1234}|
&\pai{amsfonts} tai \textsf{amssymb} \\
\end{symbols}
\end{table}
\endinput
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