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(Nova página: == Functions, symbols, special characters == <!-- Eight symbols per line seems to be optimal--> {| class="wikitable" ! colspan="2" |<h3>Accents/diacritics</h3> |- |<code>\acute{a} \gr...) |
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Edição das 20h45min de 26 de maio de 2009
Índice
Functions, symbols, special characters
Accents/diacritics | ||
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\acute{a} \grave{a} \hat{a} \tilde{a} \breve{a}
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<math>\acute{a} \grave{a} \hat{a} \tilde{a} \breve{a}\,\!</math> | |
\check{a} \bar{a} \ddot{a} \dot{a}
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<math>\check{a} \bar{a} \ddot{a} \dot{a}\!</math> | |
Standard functions | ||
\sin a \cos b \tan c
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<math>\sin a \cos b \tan c\!</math> | |
\sec d \csc e \cot f
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<math>\sec d \csc e \cot f\,\!</math> | |
\arcsin h \arccos i \arctan j
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<math>\arcsin h \arccos i \arctan j\,\!</math> | |
\sinh k \cosh l \tanh m \coth n\!
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<math>\sinh k \cosh l \tanh m \coth n\!</math> | |
\operatorname{sh}\,o\,\operatorname{ch}\,p\,\operatorname{th}\,q\!
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<math>\operatorname{sh}\,o\,\operatorname{ch}\,p\,\operatorname{th}\,q\!</math> | |
\operatorname{arsinh}\,r\,\operatorname{arcosh}\,s\,\operatorname{artanh}\,t
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<math>\operatorname{arsinh}\,r\,\operatorname{arcosh}\,s\,\operatorname{artanh}\,t\,\!</math> | |
\lim u \limsup v \liminf w \min x \max y\!
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<math>\lim u \limsup v \liminf w \min x \max y\!</math> | |
\inf z \sup a \exp b \ln c \lg d \log e \log_{10} f \ker g\!
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<math>\inf z \sup a \exp b \ln c \lg d \log e \log_{10} f \ker g\!</math> | |
\deg h \gcd i \Pr j \det k \hom l \arg m \dim n
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<math>\deg h \gcd i \Pr j \det k \hom l \arg m \dim n\!</math> | |
Modular arithmetic | ||
s_k \equiv 0 \pmod{m}
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<math>s_k \equiv 0 \pmod{m}\,\!</math> | |
a\,\bmod\,b
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<math>a\,\bmod\,b\,\!</math> | |
\mid \; \nmid
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<math> \mid \; \nmid \!</math> | |
Derivatives | ||
\nabla \, \partial x \, dx \, \dot x \, \ddot y\, dy/dx\, \frac{dy}{dx}\, \frac{\partial^2 y}{\partial x_1\,\partial x_2}
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<math>\nabla \, \partial x \, dx \, \dot x \, \ddot y\, dy/dx\, \frac{dy}{dx}\, \frac{\partial^2 y}{\partial x_1\,\partial x_2}</math> | |
Sets | ||
\forall \exists \empty \emptyset \varnothing
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<math>\forall \exists \empty \emptyset \varnothing\,\!</math> | |
\in \ni \not \in \notin \subset \subseteq \supset \supseteq
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<math>\in \ni \not \in \notin \subset \subseteq \supset \supseteq\,\!</math> | |
\cap \bigcap \cup \bigcup \biguplus \setminus \smallsetminus
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<math>\cap \bigcap \cup \bigcup \biguplus \setminus \smallsetminus\,\!</math> | |
\sqsubset \sqsubseteq \sqsupset \sqsupseteq \sqcap \sqcup \bigsqcup
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<math>\sqsubset \sqsubseteq \sqsupset \sqsupseteq \sqcap \sqcup \bigsqcup\,\!</math> | |
Operators | ||
+ \oplus \bigoplus \pm \mp -
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<math>+ \oplus \bigoplus \pm \mp - \,\!</math> | |
\times \otimes \bigotimes \cdot \circ \bullet \bigodot
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<math>\times \otimes \bigotimes \cdot \circ \bullet \bigodot\,\!</math> | |
\star * / \div \frac{1}{2}
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<math>\star * / \div \frac{1}{2}\,\!</math> | |
Logic | ||
\land (or \and) \wedge \bigwedge \bar{q} \overline{q} \to \And
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<math>\land \wedge \bigwedge \bar{q} \ \overline{q} \to \And\,\!</math> | |
\lor \vee \bigvee \lnot \neg q \leftrightarrow
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<math>\lor \vee \bigvee \lnot \, \neg q \leftrightarrow\,\!</math> | |
Root | ||
\sqrt{2} \sqrt[n]{x}
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<math>\sqrt{2} \sqrt[n]{x}\,\!</math> | |
Relations | ||
\sim \approx \simeq \cong \dot= \overset{\underset{\mathrm{def}}{}}{=}
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<math>\sim \approx \simeq \cong \dot= \overset{\underset{\mathrm{def}}{}}{=}\,\!</math> | |
\le < \ll \gg \ge > \equiv \not\equiv \ne \mbox{or} \neq \propto
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<math>\le < \ll \gg \ge > \equiv \not\equiv \ne \mbox{or} \neq \propto\,\!</math> | |
Geometric | ||
\Diamond \Box \triangle \angle \perp \| 45^\circ
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45^\circ\,\!</math> | |
Arrows | ||
\leftarrow (or \gets) \rightarrow (or \to) \nleftarrow \nrightarrow \leftrightarrow \nleftrightarrow \longleftarrow \longrightarrow \longleftrightarrow
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<math>\leftarrow \rightarrow \nleftarrow \not\to \leftrightarrow \nleftrightarrow \longleftarrow \longrightarrow \longleftrightarrow \,\!</math> | |
\Leftarrow \Rightarrow \nLeftarrow \nRightarrow \Leftrightarrow \nLeftrightarrow \Longleftarrow \Longrightarrow \Longleftrightarrow (or \iff)
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<math>\Leftarrow \Rightarrow \nLeftarrow \nRightarrow \Leftrightarrow \nLeftrightarrow \Longleftarrow \Longrightarrow \Longleftrightarrow \!</math> | |
\uparrow \downarrow \updownarrow \Uparrow \Downarrow \Updownarrow \nearrow \searrow \swarrow \nwarrow
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<math>\uparrow \downarrow \updownarrow \Uparrow \Downarrow \Updownarrow \nearrow \searrow \swarrow \nwarrow \!</math> | |
\rightharpoonup \rightharpoondown \leftharpoonup \leftharpoondown \upharpoonleft \upharpoonright \downharpoonleft \downharpoonright \rightleftharpoons \leftrightharpoons
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<math>\rightharpoonup \rightharpoondown \leftharpoonup \leftharpoondown \upharpoonleft \upharpoonright \downharpoonleft \downharpoonright \rightleftharpoons \leftrightharpoons \,\!</math> | |
\curvearrowleft \circlearrowleft \Lsh \upuparrows \rightrightarrows \rightleftarrows \Rrightarrow \rightarrowtail \looparrowright
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<math>\curvearrowleft \circlearrowleft \Lsh \upuparrows \rightrightarrows \rightleftarrows \Rrightarrow \rightarrowtail \looparrowright \,\!</math> | |
\curvearrowright \circlearrowright \Rsh \downdownarrows \leftleftarrows \leftrightarrows \Lleftarrow \leftarrowtail \looparrowleft
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<math>\curvearrowright \circlearrowright \Rsh \downdownarrows \leftleftarrows \leftrightarrows \Lleftarrow \leftarrowtail \looparrowleft \,\!</math> | |
\mapsto \longmapsto \hookrightarrow \hookleftarrow \multimap \leftrightsquigarrow \rightsquigarrow \twoheadrightarrow \twoheadleftarrow
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<math>\mapsto \longmapsto \hookrightarrow \hookleftarrow \multimap \leftrightsquigarrow \rightsquigarrow \twoheadrightarrow \twoheadleftarrow\,\!</math> | |
Special | ||
\And \eth \S \P \% \dagger \ddagger \ldots \cdots
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<math>\And \eth \S \P \% \dagger \ddagger \ldots \cdots\,\!</math> | |
\smile \frown \wr \triangleleft \triangleright \infty \bot \top
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<math>\smile \frown \wr \triangleleft \triangleright \infty \bot \top\,\!</math> | |
\vdash \vDash \Vdash \models \lVert \rVert \imath \hbar
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<math>\vdash \vDash \Vdash \models \lVert \rVert \imath \hbar\,\!</math> | |
\ell \mho \Finv \Re \Im \wp \complement
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<math>\ell \mho \Finv \Re \Im \wp \complement\,\!</math> | |
\diamondsuit \heartsuit \clubsuit \spadesuit \Game \flat \natural \sharp
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<math>\diamondsuit \heartsuit \clubsuit \spadesuit \Game \flat \natural \sharp\,\!</math> | |
Unsorted (new stuff) | ||
\vartriangle \triangledown \lozenge \circledS \measuredangle \nexists \Bbbk \backprime \blacktriangle \blacktriangledown
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<math> \vartriangle \triangledown \lozenge \circledS \measuredangle \nexists \Bbbk \backprime \blacktriangle \blacktriangledown</math> | |
\blacksquare \blacklozenge \bigstar \sphericalangle \diagup \diagdown \dotplus \Cap \Cup \barwedge
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<math> \blacksquare \blacklozenge \bigstar \sphericalangle \diagup \diagdown \dotplus \Cap \Cup \barwedge\!</math> | |
\veebar \doublebarwedge \boxminus \boxtimes \boxdot \boxplus \divideontimes \ltimes \rtimes \leftthreetimes
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<math> \veebar \doublebarwedge \boxminus \boxtimes \boxdot \boxplus \divideontimes \ltimes \rtimes \leftthreetimes</math> | |
\rightthreetimes \curlywedge \curlyvee \circleddash \circledast \circledcirc \centerdot \intercal \leqq \leqslant
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<math> \rightthreetimes \curlywedge \curlyvee \circleddash \circledast \circledcirc \centerdot \intercal \leqq \leqslant</math> | |
\eqslantless \lessapprox \approxeq \lessdot \lll \lessgtr \lesseqgtr \lesseqqgtr \doteqdot \risingdotseq
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<math> \eqslantless \lessapprox \approxeq \lessdot \lll \lessgtr \lesseqgtr \lesseqqgtr \doteqdot \risingdotseq</math> | |
\fallingdotseq \backsim \backsimeq \subseteqq \Subset \preccurlyeq \curlyeqprec \precsim \precapprox \vartriangleleft
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<math> \fallingdotseq \backsim \backsimeq \subseteqq \Subset \preccurlyeq \curlyeqprec \precsim \precapprox \vartriangleleft</math> | |
\Vvdash \bumpeq \Bumpeq \geqq \geqslant \eqslantgtr \gtrsim \gtrapprox \eqsim \gtrdot
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<math> \Vvdash \bumpeq \Bumpeq \geqq \geqslant \eqslantgtr \gtrsim \gtrapprox \eqsim \gtrdot</math> | |
\ggg \gtrless \gtreqless \gtreqqless \eqcirc \circeq \triangleq \thicksim \thickapprox \supseteqq
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<math> \ggg \gtrless \gtreqless \gtreqqless \eqcirc \circeq \triangleq \thicksim \thickapprox \supseteqq</math> | |
\Supset \succcurlyeq \curlyeqsucc \succsim \succapprox \vartriangleright \shortmid \shortparallel \between \pitchfork
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<math> \Supset \succcurlyeq \curlyeqsucc \succsim \succapprox \vartriangleright \shortmid \shortparallel \between \pitchfork</math> | |
\varpropto \blacktriangleleft \therefore \backepsilon \blacktriangleright \because \nleqslant \nleqq \lneq \lneqq
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<math> \varpropto \blacktriangleleft \therefore \backepsilon \blacktriangleright \because \nleqslant \nleqq \lneq \lneqq</math> | |
\lvertneqq \lnsim \lnapprox \nprec \npreceq \precneqq \precnsim \precnapprox \nsim \nshortmid
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<math> \lvertneqq \lnsim \lnapprox \nprec \npreceq \precneqq \precnsim \precnapprox \nsim \nshortmid</math> | |
\nvdash \nVdash \ntriangleleft \ntrianglelefteq \nsubseteq \nsubseteqq \varsubsetneq \subsetneqq \varsubsetneqq \ngtr
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<math> \nvdash \nVdash \ntriangleleft \ntrianglelefteq \nsubseteq \nsubseteqq \varsubsetneq \subsetneqq \varsubsetneqq \ngtr</math> | |
\subsetneq
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<math>\subsetneq</math> | |
\ngeqslant \ngeqq \gneq \gneqq \gvertneqq \gnsim \gnapprox \nsucc \nsucceq \succneqq
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<math> \ngeqslant \ngeqq \gneq \gneqq \gvertneqq \gnsim \gnapprox \nsucc \nsucceq \succneqq</math> | |
\succnsim \succnapprox \ncong \nshortparallel \nparallel \nvDash \nVDash \ntriangleright \ntrianglerighteq \nsupseteq
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<math> \succnsim \succnapprox \ncong \nshortparallel \nparallel \nvDash \nVDash \ntriangleright \ntrianglerighteq \nsupseteq</math> | |
\nsupseteqq \varsupsetneq \supsetneqq \varsupsetneqq
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<math> \nsupseteqq \varsupsetneq \supsetneqq \varsupsetneqq</math> | |
\jmath \surd \ast \uplus \diamond \bigtriangleup \bigtriangledown \ominus
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<math>\jmath \surd \ast \uplus \diamond \bigtriangleup \bigtriangledown \ominus\,\!</math> | |
\oslash \odot \bigcirc \amalg \prec \succ \preceq \succeq
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<math>\oslash \odot \bigcirc \amalg \prec \succ \preceq \succeq\,\!</math> | |
\dashv \asymp \doteq \parallel
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<math>\dashv \asymp \doteq \parallel\,\!</math> | |
\ulcorner \urcorner \llcorner \lrcorner
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<math>\ulcorner \urcorner \llcorner \lrcorner</math> |
For a little more semantics on these symbols, see the brief TeX Cookbook