Wikiszótár-vita:Képletleíró nyelv
\acute{a} \grave{a} \hat{a} \tilde{a} \breve{a}
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\check{a} \bar{a} \ddot{a} \dot{a}
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\sin a \cos b \tan c
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\sec d \csc e \cot f
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\arcsin h \arccos i \arctan j
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\sinh k \cosh l \tanh m \coth n
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\operatorname{sh}o\,\operatorname{ch}p\,\operatorname{th}q
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\operatorname{arsinh}r\,\operatorname{arcosh}s\,\operatorname{artanh}t
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\lim u \limsup v \liminf w \min x \max y
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\inf z \sup a \exp b \ln c \lg d \log e \log_{10} f \ker g
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\deg h \gcd i \Pr j \det k \hom l \arg m \dim n
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s_k \equiv 0 \pmod{m}
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a\,\bmod\,b
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\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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\forall \exists \empty \emptyset \varnothing
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\in \ni \not \in \notin \subset \subseteq \supset \supseteq
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\cap \bigcap \cup \bigcup \biguplus \setminus \smallsetminus
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\sqsubset \sqsubseteq \sqsupset \sqsupseteq \sqcap \sqcup \bigsqcup
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+ \oplus \bigoplus \pm \mp -
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\times \otimes \bigotimes \cdot \circ \bullet \bigodot
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\star * / \div \frac{1}{2}
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\land (or \and) \wedge \bigwedge \bar{q} \to p
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\lor \vee \bigvee \lnot \neg q \And
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\sqrt{2} \sqrt[n]{x}
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\sim \approx \simeq \cong \dot= \overset{\underset{\mathrm{def}}{}}{=}
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< \le \ll \gg \ge > \equiv \not\equiv \ne \mbox{or} \neq \propto
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\lessapprox \lesssim \eqslantless \leqslant \leqq \geqq \geqslant \eqslantgtr \gtrsim \gtrapprox
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\Diamond \Box \triangle \angle \perp \mid \nmid \| 45^\circ
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\leftarrow (or \gets) \rightarrow (or \to) \nleftarrow \nrightarrow \leftrightarrow \nleftrightarrow \longleftarrow \longrightarrow \longleftrightarrow
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\Leftarrow \Rightarrow \nLeftarrow \nRightarrow \Leftrightarrow \nLeftrightarrow \Longleftarrow (or \impliedby) \Longrightarrow (or \implies) \Longleftrightarrow (or \iff)
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\uparrow \downarrow \updownarrow \Uparrow \Downarrow \Updownarrow \nearrow \searrow \swarrow \nwarrow
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\rightharpoonup \rightharpoondown \leftharpoonup \leftharpoondown \upharpoonleft \upharpoonright \downharpoonleft \downharpoonright \rightleftharpoons \leftrightharpoons
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\curvearrowleft \circlearrowleft \Lsh \upuparrows \rightrightarrows \rightleftarrows \Rrightarrow \rightarrowtail \looparrowright
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\curvearrowright \circlearrowright \Rsh \downdownarrows \leftleftarrows \leftrightarrows \Lleftarrow \leftarrowtail \looparrowleft
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\mapsto \longmapsto \hookrightarrow \hookleftarrow \multimap \leftrightsquigarrow \rightsquigarrow
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\And \eth \S \P \% \dagger \ddagger \ldots \cdots \colon
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\smile \frown \wr \triangleleft \triangleright \infty \bot \top
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\vdash \vDash \Vdash \models \lVert \rVert \imath \hbar
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\ell \mho \Finv \Re \Im \wp \complement
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\diamondsuit \heartsuit \clubsuit \spadesuit \Game \flat \natural \sharp
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\vartriangle \triangledown \lozenge \circledS \measuredangle \nexists \Bbbk \backprime \blacktriangle \blacktriangledown
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\square \blacksquare \blacklozenge \bigstar \sphericalangle \diagup \diagdown \dotplus \Cap \Cup \barwedge
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\veebar \doublebarwedge \boxminus \boxtimes \boxdot \boxplus \divideontimes \ltimes \rtimes \leftthreetimes
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\rightthreetimes \curlywedge \curlyvee \circleddash \circledast \circledcirc \centerdot \intercal \leqq \leqslant
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\eqslantless \lessapprox \approxeq \lessdot \lll \lessgtr \lesseqgtr \lesseqqgtr \doteqdot \risingdotseq
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\fallingdotseq \backsim \backsimeq \subseteqq \Subset \preccurlyeq \curlyeqprec \precsim \precapprox \vartriangleleft
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\Vvdash \bumpeq \Bumpeq \eqsim \gtrdot
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\ggg \gtrless \gtreqless \gtreqqless \eqcirc \circeq \triangleq \thicksim \thickapprox \supseteqq
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\Supset \succcurlyeq \curlyeqsucc \succsim \succapprox \vartriangleright \shortmid \between \shortparallel \pitchfork
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\varpropto \blacktriangleleft \therefore \backepsilon \blacktriangleright \because \nleqslant \nleqq \lneq \lneqq
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\lvertneqq \lnsim \lnapprox \nprec \npreceq \precneqq \precnsim \precnapprox \nsim \nshortmid
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\nvdash \nVdash \ntriangleleft \ntrianglelefteq \nsubseteq \nsubseteqq \varsubsetneq \subsetneqq \varsubsetneqq \ngtr
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\subsetneq
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\ngeqslant \ngeqq \gneq \gneqq \gvertneqq \gnsim \gnapprox \nsucc \nsucceq \succneqq
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\succnsim \succnapprox \ncong \nshortparallel \nparallel \nvDash \nVDash \ntriangleright \ntrianglerighteq \nsupseteq
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\nsupseteqq \varsupsetneq \supsetneqq \varsupsetneqq
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\jmath \surd \ast \uplus \diamond \bigtriangleup \bigtriangledown \ominus
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\oslash \odot \bigcirc \amalg \prec \succ \preceq \succeq
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\dashv \asymp \doteq \parallel
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\ulcorner \urcorner \llcorner \lrcorner
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\Coppa\coppa\varcoppa\Digamma\Koppa\koppa\Sampi\sampi\Stigma\stigma\varstigma
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\Alpha \Beta \Gamma \Delta \Epsilon \Zeta
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\Eta \Theta \Iota \Kappa \Lambda \Mu
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\Nu \Xi \Omicron \Pi \Rho \Sigma \Tau
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\Upsilon \Phi \Chi \Psi \Omega
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\alpha \beta \gamma \delta \epsilon \zeta
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\eta \theta \iota \kappa \lambda \mu
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\nu \xi \omicron \pi \rho \sigma \tau
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\upsilon \phi \chi \psi \omega
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\varepsilon \digamma \vartheta \varkappa
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\varpi \varrho \varsigma \varphi
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Blackboard Bold/Scripts | |
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\mathbb{A} \mathbb{B} \mathbb{C} \mathbb{D} \mathbb{E} \mathbb{F} \mathbb{G}
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\mathbb{H} \mathbb{I} \mathbb{J} \mathbb{K} \mathbb{L} \mathbb{M}
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\mathbb{N} \mathbb{O} \mathbb{P} \mathbb{Q} \mathbb{R} \mathbb{S} \mathbb{T}
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\mathbb{U} \mathbb{V} \mathbb{W} \mathbb{X} \mathbb{Y} \mathbb{Z}
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\C \N \Q \R \Z
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boldface (vectors) | |
\mathbf{A} \mathbf{B} \mathbf{C} \mathbf{D} \mathbf{E} \mathbf{F} \mathbf{G}
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\mathbf{H} \mathbf{I} \mathbf{J} \mathbf{K} \mathbf{L} \mathbf{M}
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\mathbf{N} \mathbf{O} \mathbf{P} \mathbf{Q} \mathbf{R} \mathbf{S} \mathbf{T}
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\mathbf{U} \mathbf{V} \mathbf{W} \mathbf{X} \mathbf{Y} \mathbf{Z}
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\mathbf{a} \mathbf{b} \mathbf{c} \mathbf{d} \mathbf{e} \mathbf{f} \mathbf{g}
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\mathbf{h} \mathbf{i} \mathbf{j} \mathbf{k} \mathbf{l} \mathbf{m}
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\mathbf{n} \mathbf{o} \mathbf{p} \mathbf{q} \mathbf{r} \mathbf{s} \mathbf{t}
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\mathbf{u} \mathbf{v} \mathbf{w} \mathbf{x} \mathbf{y} \mathbf{z}
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\mathbf{0} \mathbf{1} \mathbf{2} \mathbf{3} \mathbf{4}
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\mathbf{5} \mathbf{6} \mathbf{7} \mathbf{8} \mathbf{9}
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Boldface (greek) | |
\boldsymbol{\Alpha} \boldsymbol{\Beta} \boldsymbol{\Gamma} \boldsymbol{\Delta} \boldsymbol{\Epsilon} \boldsymbol{\Zeta}
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\boldsymbol{\Eta} \boldsymbol{\Theta} \boldsymbol{\Iota} \boldsymbol{\Kappa} \boldsymbol{\Lambda} \boldsymbol{\Mu}
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\boldsymbol{\Nu} \boldsymbol{\Xi} \boldsymbol{\Pi} \boldsymbol{\Rho} \boldsymbol{\Sigma} \boldsymbol{\Tau}
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\boldsymbol{\Upsilon} \boldsymbol{\Phi} \boldsymbol{\Chi} \boldsymbol{\Psi} \boldsymbol{\Omega}
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\boldsymbol{\alpha} \boldsymbol{\beta} \boldsymbol{\gamma} \boldsymbol{\delta} \boldsymbol{\epsilon} \boldsymbol{\zeta}
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\boldsymbol{\eta} \boldsymbol{\theta} \boldsymbol{\iota} \boldsymbol{\kappa} \boldsymbol{\lambda} \boldsymbol{\mu}
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\boldsymbol{\nu} \boldsymbol{\xi} \boldsymbol{\pi} \boldsymbol{\rho} \boldsymbol{\sigma} \boldsymbol{\tau}
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\boldsymbol{\upsilon} \boldsymbol{\phi} \boldsymbol{\chi} \boldsymbol{\psi} \boldsymbol{\omega}
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\boldsymbol{\varepsilon} \boldsymbol{\digamma} \boldsymbol{\vartheta} \boldsymbol{\varkappa}
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\boldsymbol{\varpi} \boldsymbol{\varrho} \boldsymbol{\varsigma} \boldsymbol{\varphi}
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Italics | |
\mathit{A} \mathit{B} \mathit{C} \mathit{D} \mathit{E} \mathit{F} \mathit{G}
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\mathit{H} \mathit{I} \mathit{J} \mathit{K} \mathit{L} \mathit{M}
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\mathit{N} \mathit{O} \mathit{P} \mathit{Q} \mathit{R} \mathit{S} \mathit{T}
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\mathit{U} \mathit{V} \mathit{W} \mathit{X} \mathit{Y} \mathit{Z}
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\mathit{a} \mathit{b} \mathit{c} \mathit{d} \mathit{e} \mathit{f} \mathit{g}
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\mathit{h} \mathit{i} \mathit{j} \mathit{k} \mathit{l} \mathit{m}
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\mathit{n} \mathit{o} \mathit{p} \mathit{q} \mathit{r} \mathit{s} \mathit{t}
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\mathit{u} \mathit{v} \mathit{w} \mathit{x} \mathit{y} \mathit{z}
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\mathit{0} \mathit{1} \mathit{2} \mathit{3} \mathit{4}
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\mathit{5} \mathit{6} \mathit{7} \mathit{8} \mathit{9}
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Roman typeface | |
\mathrm{A} \mathrm{B} \mathrm{C} \mathrm{D} \mathrm{E} \mathrm{F} \mathrm{G}
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\mathrm{H} \mathrm{I} \mathrm{J} \mathrm{K} \mathrm{L} \mathrm{M}
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\mathrm{N} \mathrm{O} \mathrm{P} \mathrm{Q} \mathrm{R} \mathrm{S} \mathrm{T}
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\mathrm{U} \mathrm{V} \mathrm{W} \mathrm{X} \mathrm{Y} \mathrm{Z}
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\mathrm{a} \mathrm{b} \mathrm{c} \mathrm{d} \mathrm{e} \mathrm{f} \mathrm{g}
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\mathrm{h} \mathrm{i} \mathrm{j} \mathrm{k} \mathrm{l} \mathrm{m}
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\mathrm{n} \mathrm{o} \mathrm{p} \mathrm{q} \mathrm{r} \mathrm{s} \mathrm{t}
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\mathrm{u} \mathrm{v} \mathrm{w} \mathrm{x} \mathrm{y} \mathrm{z}
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\mathrm{0} \mathrm{1} \mathrm{2} \mathrm{3} \mathrm{4}
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\mathrm{5} \mathrm{6} \mathrm{7} \mathrm{8} \mathrm{9}
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Fraktur typeface | |
\mathfrak{A} \mathfrak{B} \mathfrak{C} \mathfrak{D} \mathfrak{E} \mathfrak{F} \mathfrak{G}
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\mathfrak{H} \mathfrak{I} \mathfrak{J} \mathfrak{K} \mathfrak{L} \mathfrak{M}
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\mathfrak{N} \mathfrak{O} \mathfrak{P} \mathfrak{Q} \mathfrak{R} \mathfrak{S} \mathfrak{T}
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\mathfrak{U} \mathfrak{V} \mathfrak{W} \mathfrak{X} \mathfrak{Y} \mathfrak{Z}
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\mathfrak{a} \mathfrak{b} \mathfrak{c} \mathfrak{d} \mathfrak{e} \mathfrak{f} \mathfrak{g}
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\mathfrak{h} \mathfrak{i} \mathfrak{j} \mathfrak{k} \mathfrak{l} \mathfrak{m}
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\mathfrak{n} \mathfrak{o} \mathfrak{p} \mathfrak{q} \mathfrak{r} \mathfrak{s} \mathfrak{t}
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\mathfrak{u} \mathfrak{v} \mathfrak{w} \mathfrak{x} \mathfrak{y} \mathfrak{z}
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\mathfrak{0} \mathfrak{1} \mathfrak{2} \mathfrak{3} \mathfrak{4}
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\mathfrak{5} \mathfrak{6} \mathfrak{7} \mathfrak{8} \mathfrak{9}
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Calligraphy/Script | |
\mathcal{A} \mathcal{B} \mathcal{C} \mathcal{D} \mathcal{E} \mathcal{F} \mathcal{G}
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\mathcal{H} \mathcal{I} \mathcal{J} \mathcal{K} \mathcal{L} \mathcal{M}
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\mathcal{N} \mathcal{O} \mathcal{P} \mathcal{Q} \mathcal{R} \mathcal{S} \mathcal{T}
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\mathcal{U} \mathcal{V} \mathcal{W} \mathcal{X} \mathcal{Y} \mathcal{Z}
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Hebrew | |
\aleph \beth \gimel \daleth
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Superscript | a^2 |
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Subscript | a_2 |
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Grouping | a^{2+2} |
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a_{i,j} |
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Combining sub & super without and with horizontal separation | x_2^3 |
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{x_2}^3 |
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Super super | 10^{10^{8}} |
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Preceding and/or Additional sub & super | _nP_k |
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\sideset{_1^2}{_3^4}\prod_a^b |
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{}_1^2\!\Omega_3^4 |
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Stacking | \overset{\alpha}{\omega} |
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\underset{\alpha}{\omega} |
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\overset{\alpha}{\underset{\gamma}{\omega}} |
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\stackrel{\alpha}{\omega} |
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Derivatives | x', y'', f', f'' |
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x^\prime, y^{\prime\prime} |
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Derivative dots | \dot{x}, \ddot{x} |
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Underlines, overlines, vectors | \hat a \ \bar b \ \vec c |
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\overrightarrow{a b} \ \overleftarrow{c d} \ \widehat{d e f} |
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\overline{g h i} \ \underline{j k l} |
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\not 1 \ \cancel{123} |
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Arrows | A \xleftarrow{n+\mu-1} B \xrightarrow[T]{n\pm i-1} C |
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Overbraces | \overbrace{ 1+2+\cdots+100 }^{\text{sum}\,=\,5050} |
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Underbraces | \underbrace{ a+b+\cdots+z }_{26\text{ terms}} |
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Sum | \sum_{k=1}^N k^2 |
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Sum (force \textstyle ) |
\textstyle \sum_{k=1}^N k^2 |
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Product | \prod_{i=1}^N x_i |
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Product (force \textstyle ) |
\textstyle \prod_{i=1}^N x_i |
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Coproduct | \coprod_{i=1}^N x_i |
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Coproduct (force \textstyle ) |
\textstyle \coprod_{i=1}^N x_i |
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Limit | \lim_{n \to \infty}x_n |
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Limit (force \textstyle ) |
\textstyle \lim_{n \to \infty}x_n |
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Integral | \int\limits_{1}^{3}\frac{e^3/x}{x^2}\, dx |
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Integral (alternate limits style) | \int_{1}^{3}\frac{e^3/x}{x^2}\, dx |
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Integral (force \textstyle ) |
\textstyle \int\limits_{-N}^{N} e^x\, dx |
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Integral (force \textstyle , alternate limits style) |
\textstyle \int_{-N}^{N} e^x\, dx |
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Double integral | \iint\limits_D \, dx\,dy |
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Triple integral | \iiint\limits_E \, dx\,dy\,dz |
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Quadruple integral | \iiiint\limits_F \, dx\,dy\,dz\,dt |
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Line or path integral | \int_C x^3\, dx + 4y^2\, dy |
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Closed line or path integral | \oint_C x^3\, dx + 4y^2\, dy |
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Intersections | \bigcap_1^n p |
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Unions | \bigcup_1^k p |
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Fractions |
\frac{1}{2}=0.5
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Small ("text style") fractions |
\tfrac{1}{2} = 0.5
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Large ("display style") fractions |
\dfrac{k}{k-1} = 0.5
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Mixture of large and small fractions |
\dfrac{ \tfrac{1}{2}[1-(\tfrac{1}{2})^n] }{ 1-\tfrac{1}{2} } = s_n
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Continued fractions (note the difference in formatting) |
\cfrac{2}{ c + \cfrac{2}{ d + \cfrac{1}{2} } } = a \qquad \dfrac{2}{ c + \dfrac{2}{ d + \dfrac{1}{2} } } = a |
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Binomial coefficients |
\binom{n}{k}
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Small ("text style") binomial coefficients |
\tbinom{n}{k}
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Large ("display style") binomial coefficients |
\dbinom{n}{k}
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Matrices |
\begin{matrix} x & y \\ z & v \end{matrix} |
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\begin{vmatrix} x & y \\ z & v \end{vmatrix} |
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\begin{Vmatrix} x & y \\ z & v \end{Vmatrix} |
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\begin{bmatrix} 0 & \cdots & 0 \\ \vdots & \ddots & \vdots \\ 0 & \cdots & 0 \end{bmatrix} |
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\begin{Bmatrix} x & y \\ z & v \end{Bmatrix} |
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\begin{pmatrix} x & y \\ z & v \end{pmatrix} |
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\bigl( \begin{smallmatrix} a&b\\ c&d \end{smallmatrix} \bigr) |
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Arrays |
\begin{array}{|c|c||c|} a & b & S \\ \hline 0&0&1\\ 0&1&1\\ 1&0&1\\ 1&1&0 \end{array} |
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Cases |
f(n) = \begin{cases} n/2, & \mbox{if }n\mbox{ is even} \\ 3n+1, & \mbox{if }n\mbox{ is odd} \end{cases} |
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System of equations |
\begin{cases} 3x + 5y + z &= 1 \\ 7x - 2y + 4z &= 2 \\ -6x + 3y + 2z &= 3 \end{cases} |
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Breaking up a long expression so it wraps when necessary |
<math>f(x) = \sum_{n=0}^\infty a_n x^n</math> <math>= a_0 + a_1x + a_2x^2 + \cdots</math> |
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Multiline equations |
\begin{align} f(x) & = (a+b)^2 \\ & = a^2+2ab+b^2 \end{align} |
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\begin{alignat}{2} f(x) & = (a-b)^2 \\ & = a^2-2ab+b^2 \end{alignat} |
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Multiline equations with aligment specified (left, center, right) |
\begin{array}{lcl} z & = & a \\ f(x,y,z) & = & x + y + z \end{array} |
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\begin{array}{lcr} z & = & a \\ f(x,y,z) & = & x + y + z \end{array} |
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Bad |
( \frac{1}{2} )
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Good |
\left ( \frac{1}{2} \right )
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Parentheses |
\left ( \frac{a}{b} \right )
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Brackets |
\left [ \frac{a}{b} \right ] \quad \left \lbrack \frac{a}{b} \right \rbrack
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Braces (note the backslash before the braces in the code) |
\left \{ \frac{a}{b} \right \} \quad \left \lbrace \frac{a}{b} \right \rbrace
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Angle brackets | \left \langle \frac{a}{b} \right \rangle
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Bars and double bars (note: "bars" provide the absolute value function) | \left | \frac{a}{b} \right \vert \left \Vert \frac{c}{d} \right \|
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Floor and ceiling functions: | \left \lfloor \frac{a}{b} \right \rfloor \left \lceil \frac{c}{d} \right \rceil
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Slashes and backslashes | \left / \frac{a}{b} \right \backslash
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Up, down and up-down arrows | \left \uparrow \frac{a}{b} \right \downarrow \quad \left \Uparrow \frac{a}{b} \right \Downarrow \quad \left \updownarrow \frac{a}{b} \right \Updownarrow
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Delimiters can be mixed, as long as \left and \right are both used | \left [ 0,1 \right ) \left \langle \psi \right |
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Use \left. or \right. if you don't want a delimiter to appear: | \left . \frac{A}{B} \right \} \to X
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Size of the delimiters | \big( \Big( \bigg( \Bigg( \dots \Bigg] \bigg] \Big] \big]
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\big\{ \Big\{ \bigg\{ \Bigg\{ \dots \Bigg\rangle \bigg\rangle \Big\rangle \big\rangle
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\big| \Big| \bigg| \Bigg| \dots \Bigg\| \bigg\| \Big\| \big\|
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\big\lfloor \Big\lfloor \bigg\lfloor \Bigg\lfloor \dots \Bigg\rceil \bigg\rceil \Big\rceil \big\rceil
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\big\uparrow \Big\uparrow \bigg\uparrow \Bigg\uparrow \dots \Bigg\Downarrow \bigg\Downarrow \Big\Downarrow \big\Downarrow
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\big\updownarrow \Big\updownarrow \bigg\updownarrow \Bigg\updownarrow \dots \Bigg\Updownarrow \bigg\Updownarrow \Big\Updownarrow \big\Updownarrow
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\big / \Big / \bigg / \Bigg / \dots \Bigg\backslash \bigg\backslash \Big\backslash \big\backslash
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non-italicised characters | \mbox{abc}
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mixed italics (bad) | \mbox{if} n \mbox{is even}
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mixed italics (good) | \mbox{if }n\mbox{ is even}
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mixed italics (more legible: ~ is a non-breaking space, while "\ " forces a space) | \mbox{if}~n\ \mbox{is even}
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