Accents and diacritics
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\dot{a}, \ddot{a}, \acute{a}, \grave{a}
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\check{a}, \breve{a}, \tilde{a}, \bar{a}
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\hat{a}, \widehat{a}, \vec{a}
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Standard numerical functions
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\exp_a b = a^b, \exp b = e^b, 10^m
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\ln c = \log c, \lg d = \log_{10} d
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\sin a, \cos b, \tan c, \cot d, \sec f, \csc g
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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}k, \operatorname{ch}l, \operatorname{th}m, \operatorname{coth}n
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\operatorname{argsh}o, \operatorname{argch}p, \operatorname{argth}q
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\sgn r, \left\vert s \right\vert
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\min(x,y), \max(x,y)
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Bounds
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\min x, \max y, \inf s, \sup t
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\lim u, \liminf v, \limsup w
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\dim p, \deg q, \det m, \ker\phi
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Projections
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\Pr j, \hom l, \lVert z \rVert, \arg z
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Differentials and derivatives
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dt, \mathrm{d}t, \partial t, \nabla\psi
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dy/dx, \mathrm{d}y/\mathrm{d}x, \frac{dy}{dx}, \frac{\mathrm{d}y}{\mathrm{d}x}
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\frac{\partial^2}{\partial x_1\partial x_2}y, \left.\frac{\partial^3 f}{\partial^2 x \partial y}\right\vert_{p_0}
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\prime, \backprime, f^\prime, f', f'', f^{(3)}, \dot y, \ddot y
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Letter-like symbols or constants
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\infty, \aleph, \complement, \backepsilon, \eth, \Finv, \hbar, \N, \R, \Z, \C, \Q
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\Im, \imath, \jmath, \Bbbk, \ell, \mho, \wp, \Re, \circledS, \S, \P, \AA
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Modular arithmetic
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s_k \equiv 0 \pmod{m}
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a \bmod b
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\gcd(m, n), \operatorname{lcm}(m, n)
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\mid, \nmid, \shortmid, \nshortmid
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Radicals
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\surd, \sqrt{2}, \sqrt{2}, \sqrt{\frac{x^3+y^3}{2}}
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Operators
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+, -, \pm, \mp, \dotplus
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\times, \div, \divideontimes, /, \backslash
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\cdot, * \ast, \star, \circ, \bullet
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\boxplus, \boxminus, \boxtimes, \boxdot
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\oplus, \ominus, \otimes, \oslash, \odot
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\circleddash, \circledcirc, \circledast
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\bigoplus, \bigotimes, \bigodot
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Sets
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\{ \}, \O \empty \emptyset, \varnothing
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\in, \notin \not\in, \ni, \not\ni
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\cap, \Cap, \sqcap, \bigcap
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\cup, \Cup, \sqcup, \bigcup, \bigsqcup, \uplus, \biguplus
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\setminus, \smallsetminus, \times
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\subset, \Subset, \sqsubset
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\supset, \Supset, \sqsupset
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\subseteq, \nsubseteq, \subsetneq, \varsubsetneq, \sqsubseteq
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\supseteq, \nsupseteq, \supsetneq, \varsupsetneq, \sqsupseteq
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\subseteqq, \nsubseteqq, \subsetneqq, \varsubsetneqq
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\supseteqq, \nsupseteqq, \supsetneqq, \varsupsetneqq
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Relations
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=, \ne, \neq, \equiv, \not\equiv
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\doteq, \doteqdot, \overset{\underset{\mathrm{def}}{}}{=}, :=
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\sim, \nsim, \backsim, \thicksim, \simeq, \backsimeq, \eqsim, \cong, \ncong
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\approx, \thickapprox, \approxeq, \asymp, \propto, \varpropto
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<, \nless, \ll, \not\ll, \lll, \not\lll, \lessdot
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>, \ngtr, \gg, \not\gg, \ggg, \not\ggg, \gtrdot
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\le, \leq, \lneq, \leqq, \nleq, \nleqq, \lneqq, \lvertneqq
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\ge, \geq, \gneq, \geqq, \ngeq, \ngeqq, \gneqq, \gvertneqq
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\lessgtr, \lesseqgtr, \lesseqqgtr, \gtrless, \gtreqless, \gtreqqless
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\leqslant, \nleqslant, \eqslantless
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\geqslant, \ngeqslant, \eqslantgtr
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\lesssim, \lnsim, \lessapprox, \lnapprox
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\gtrsim, \gnsim, \gtrapprox, \gnapprox
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\prec, \nprec, \preceq, \npreceq, \precneqq
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\succ, \nsucc, \succeq, \nsucceq, \succneqq
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\preccurlyeq, \curlyeqprec
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\succcurlyeq, \curlyeqsucc
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\precsim, \precnsim, \precapprox, \precnapprox
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\succsim, \succnsim, \succapprox, \succnapprox
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Geometric
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\parallel, \nparallel, \shortparallel, \nshortparallel
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\perp, \angle, \sphericalangle, \measuredangle, 45^\circ
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\Box, \square, \blacksquare, \diamond, \Diamond, \lozenge, \blacklozenge, \bigstar
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\bigcirc, \triangle, \bigtriangleup, \bigtriangledown
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\vartriangle, \triangledown
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\blacktriangle, \blacktriangledown, \blacktriangleleft, \blacktriangleright
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Logic
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\forall, \exists, \nexists
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\therefore, \because, \And
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\lor, \vee, \curlyvee, \bigvee
don't use \or which is now deprecated
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\land, \wedge, \curlywedge, \bigwedge
don't use \and which is now deprecated
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\bar{q}, \bar{abc}, \overline{q}, \overline{abc},
\lnot, \neg, \not\operatorname{R}, \bot, \top
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\vdash, \dashv, \vDash, \Vdash, \models
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\Vvdash, \nvdash, \nVdash, \nvDash, \nVDash
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\ulcorner, \urcorner, \llcorner, \lrcorner
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Arrows
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\Rrightarrow, \Lleftarrow
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\Rightarrow, \nRightarrow, \Longrightarrow, \implies
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\Leftarrow, \nLeftarrow, \Longleftarrow
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\Leftrightarrow, \nLeftrightarrow, \Longleftrightarrow, \iff
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\Uparrow, \Downarrow, \Updownarrow
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\rightarrow, \to, \nrightarrow, \longrightarrow
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\leftarrow, \gets, \nleftarrow, \longleftarrow
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\leftrightarrow, \nleftrightarrow, \longleftrightarrow
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\uparrow, \downarrow, \updownarrow
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\nearrow, \swarrow, \nwarrow, \searrow
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\mapsto, \longmapsto
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\rightharpoonup \rightharpoondown \leftharpoonup \leftharpoondown \upharpoonleft \upharpoonright \downharpoonleft \downharpoonright \rightleftharpoons \leftrightharpoons
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\curvearrowleft \circlearrowleft \Lsh \upuparrows \rightrightarrows \rightleftarrows \rightarrowtail \looparrowright
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\curvearrowright \circlearrowright \Rsh \downdownarrows \leftleftarrows \leftrightarrows \leftarrowtail \looparrowleft
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\hookrightarrow \hookleftarrow \multimap \leftrightsquigarrow \rightsquigarrow \twoheadrightarrow \twoheadleftarrow
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Special
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\amalg \P \S \% \dagger \ddagger \ldots \cdots \vdots \ddots
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\smile \frown \wr \triangleleft \triangleright
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\diamondsuit, \heartsuit, \clubsuit, \spadesuit, \Game, \flat, \natural, \sharp
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Unsorted (new stuff)
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\diagup \diagdown \centerdot \ltimes \rtimes \leftthreetimes \rightthreetimes
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\eqcirc \circeq \triangleq \bumpeq \Bumpeq \doteqdot \risingdotseq \fallingdotseq
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\intercal \barwedge \veebar \doublebarwedge \between \pitchfork
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\vartriangleleft \ntriangleleft \vartriangleright \ntriangleright
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\trianglelefteq \ntrianglelefteq \trianglerighteq \ntrianglerighteq
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