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@misc{Cunha13,
  author        = {Jo{\~a}o Cunha},
  title         = {Lecture notes in Computer Assisted Diagnosis},
  month         = {February},
  year          = {2013},
  publisher={Faculdade de Engenharia da Universidade do Porto}
}

List of LaTeX mathematical symbols

scource: https://oeis.org/wiki/
Greek letters
SymbolLATEXSymbolLATEX
Α and α\Alpha and \alphaΝ and ν\Nu and \nu
Β and β\Beta and \betaΞ and ξ\Xi and \xi
Γ and γ\Gamma and \gammaΟ and ο\Omicron and \omicron
Δ and δ\Delta and \deltaΠπ and \varpi\Pi\pi and \varpi
Εε and \varepsilon\Epsilon\epsilon and \varepsilonΡρ and \varrho\Rho\rho and \varrho
Ζ and ζ\Zeta and \zetaΣσ and \varsigma\,\Sigma\sigma and \varsigma
Η and η\Eta and \etaΤ and τ\Tau and \tau
Θθ and \vartheta\Theta\theta and \varthetaΥ and υ\Upsilon and \upsilon
Ι and ι\Iota and \iotaΦφ, and \varphi\Phi\phi and \varphi
Κκ and \varkappa\Kappa\kappa and \varkappaΧ and χ\Chi and \chi
Λ and λ\Lambda and \lambdaΨ and ψ\Psi and \psi
Μ and μ\Mu and \muΩ and ω\Omega and \omega


Archaic Greek letters
SymbolLATEX
 \Digamma\Digamma
\digamma\digamma

Unary operators

Unary operators
SymbolLATEXCommentSymbolLATEXCommentSymbolLATEXCommentSymbolLATEXComment
+ \,+ - \,-negation! \,!factorial\#\#primorial
   \neg\negnot      

Relation operators

Relation operators
SymbolLATEXCommentSymbolLATEXComment
< \,<is less than> \,>is greater than
\nless\nlessis not less than\ngtr\ngtris not greater than
\leq\leqis less than or equal to\geq\geqis greater than or equal to
\leqslant\leqslantis less than or equal to\geqslant\geqslantis greater than or equal to
\nleq\nleqis neither less than nor equal to\ngeq\ngeqis neither greater than nor equal to
\nleqslant\nleqslantis neither less than nor equal to\ngeqslant\ngeqslantis neither greater than nor equal to
\prec\precprecedes\succ\succsucceeds
\nprec\nprecdoesn't precede\nsucc\nsuccdoesn't succeed
\preceq\preceqprecedes or equals\succeq\succeqsucceeds or equals
\npreceq\npreceqneither precedes nor equals\nsucceq\nsucceqneither succeeds nor equals
\ll\ll \gg\gg 
\lll\lll \ggg\ggg 
\subset\subsetis a proper subset of\supset\supsetis a proper superset of
\not\subset\not\subsetis not a proper subset of\not\supset\not\supsetis not a proper superset of
\subseteq\subseteqis a subset of\supseteq\supseteqis a superset of
\nsubseteq\nsubseteqis not a subset of\nsupseteq\nsupseteqis not a superset of
\sqsubset\sqsubset \sqsupset\sqsupset 
\sqsubseteq\sqsubseteq \sqsupseteq\sqsupseteq 
SymbolLATEXComment
= \,=is equal to
\doteq\doteq 
\equiv\equivis equivalent to
\approx\approxis approximately
\cong\congis congruent to
\simeq\simeqis similar or equal to
˜\simis similar to
\propto\proptois proportional to
\neq or \ne\neq or \neis not equal to
SymbolLATEXCommentSymbolLATEXComment
\parallel\parallelis parallel with\nparallel\nparallelis not parallel with
\asymp\asympis asymptotic to\bowtie\bowtie 
\vdash\vdash \dashv\dashv 
\in\inis member of\ni\niowns, has member
\smile\smile \frown\frown 
\models\modelsmodels\notin\notinis not member of
\perp\perpis perpendicular with\mid\middivides

Binary operators

Binary operators
SymbolLATEXCommentSymbolLATEXCommentSymbolLATEXCommentSymbolLATEXComment
\pm\pmplus or minus\cap\capset intersection\diamond\diamond \oplus\oplus 
\mp\mpminus or plus\cup\cupset union\bigtriangleup\bigtriangleup \ominus\ominus 
\times\timesmultiplied by\uplus\uplusmultiset addition\bigtriangledown\bigtriangledown \otimes\otimes 
\div\divdivided by\sqcap\sqcap \triangleleft\triangleleft \oslash\oslash 
\ast\astasterisk\sqcup\sqcup \triangleright\triangleright \odot\odot 
\star\star \vee\vee \bigcirc\bigcirc \circ\circ 
\dagger\dagger \wedge\wedge \bullet\bullet \setminus\setminusset difference
\ddagger\ddagger \cdot\cdot \wr\wr \amalg\amalg 

Negated binary operators

Negated binary operators
SymbolLATEXCommentSymbolLATEXComment
\neq or \ne \,\neq or \neis not equal to\notin\notinis not member of
\nless\nlessis not less than\ngtr\ngtris not greater than
\nleq\nleqis not less than or equal to\ngeq\ngeqis not greater than or equal to
\nleqslant\nleqslant \ngeqslant\ngeqslant 
\nleqq\nleqq \ngeqq\ngeqq 
\lneq\lneq \gneq\gneq 
\lneqq\lneqq \gneqq\gneqq 
\lvertneqq\lvertneqq \gvertneqq\gvertneqq 
\lnsim\lnsim \gnsim\gnsim 
\lnapprox\lnapprox \gnapprox\gnapprox 
\nprec\nprecdoes not precede\nsucc\nsuccdoes not succeed
\npreceq\npreceqneither precedes nor equals\nsucceq\nsucceqneither succedes nor equals
\precneqq\precneqq \succneqq\succneqq 
\precnsim\precnsim \succnsim\succnsim 
\precnapprox\precnapprox \succnapprox\succnapprox 
\nsim\nsimis not similar to\ncong\ncongis not congruent to
\nshortmid\nshortmid \nshortparallel\nshortparallel 
\nmid\nmid \nparallel\nparallelis not parallel with
\nvdash\nvdash \nvDash\nvDash 
\nVdash\nVdash \nVDash\nVDash 
\ntriangleleft\ntriangleleft \ntriangleright\ntriangleright 
\ntrianglelefteq\ntrianglelefteq \ntrianglerighteq\ntrianglerighteq 
\nsubseteq\nsubseteq \nsupseteq\nsupseteq 
\nsubseteqq\nsubseteqq \nsupseteqq\nsupseteqq 
\subsetneq\subsetneq \supsetneq\supsetneq 
\varsubsetneq\varsubsetneq \varsupsetneq\varsupsetneq 
\subsetneqq\subsetneqq \supsetneqq\supsetneqq 
\varsubsetneqq\varsubsetneqq \varsupsetneqq\varsupsetneqq 

Set and/or logic notation

Set notation
SymbolLATEXComment
\O or \emptyset \,, and \varnothing \,\O or \emptyset, and \varnothingthe empty set
\N\Nset of natural numbers
\Z\Zset of integers
\Q\Qset of rational numbers
\mathbb{A}\mathbb{A}set of algebraic numbers
\R\Rset of real numbers
\C\Cset of complex numbers
\mathbb{H}\mathbb{H}set of quaternions
\mathbb{O}\mathbb{O}set of octonions
\mathbb{S}\mathbb{S}set of sedenions
\in\inis member of
\notin\notinis not member of
\ni\niowns (has member)
\subset\subsetis proper subset of
\subseteq\subseteqis subset of
\supset\supsetis proper superset of
\supseteq\supseteqis superset of
\cup\cupset union
\cap\capset intersection
\setminus\setminusset difference
Logic notation
SymbolLATEXComment
\exists\existsthere exists at least one
\exists!\exists!there exists one and only one
\nexists\nexiststhere is no
\forall\forallfor all
\neg\negnot (logical not)
\lor\loror (logical or)
\land\landand (logical and)
\Longrightarrow or \implies\Longrightarrow or \impliesimplies
\Rightarrow\Rightarrow(preferred for right implication)
\Longleftarrow\Longleftarrowis implied by (only if)
\Leftarrow\Leftarrow(preferred for left implication)
\iff\iffis equivalent to (if and only if, iff)
\Leftrightarrow\Leftrightarrow(preferred for equivalence)
\top\top 
\bot\bot 

Geometry

Geometry notation
SymbolLATEXCommentSymbolLATEXComment
\overline{\rm AB}\overline{\rm AB}segment\overrightarrow{\rm AB}\overrightarrow{\rm AB}ray (half-line)
\angle\angleangle\measuredangle\measuredanglemeasured angle
\triangle\triangletriangle\square\squaresquare
\cong\congcongruent (same shape and size)\ncong\ncongnot congruent
˜\simsimilar (same shape)\nsim\nsimnot similar
\|\|is parallel with\nparallel\nparallelis not parallel with
\perp\perpis perpendicular to\not\perp\not\perpis not perpendicular to

Delimiters

Delimiters
SymbolLATEXCommentSymbolLATEXCommentSymbolLATEXCommentSymbolLATEXComment
| \,|divides\|\|divides unitarily, is parallel with/ \,/slash\backslash\backslash 
( \,( \,left parenthesis) \,) \,right parenthesis[ \,[ \,left [square] bracket] \,] \,right [square] bracket
{\{left brace}\}right brace\langle\langleleft angle bracket\rangle\rangleright angle bracket
\lceil\lceilceiling (left)\rceil\rceilceiling (right)\lfloor\lfloorfloor (left)\rfloor\rfloorfloor (right)
\ulcorner\ulcorner \urcorner\urcorner \llcorner\llcorner \lrcorner\lrcorner 

Arrows

Arrows
SymbolLATEXCommentSymbolLATEXCommentSymbolLATEXCommentSymbolLATEXComment
\rightarrow or \to\rightarrow or \to \Rightarrow\Rightarrow \longrightarrow\longrightarrow \Longrightarrow\Longrightarrow 
\mapsto\mapsto  \longmapsto\longmapsto  
\leftarrow or \gets\leftarrow or \gets \Leftarrow\Leftarrow \longleftarrow\longleftarrow \Longleftarrow\Longleftarrow 
SymbolLATEXCommentSymbolLATEXComment
\uparrow\uparrowKnuth's up-arrow notation\Uparrow\Uparrow 
\downarrow\downarrow \Downarrow\Downarrow 
\updownarrow\updownarrow \Updownarrow\Updownarrow 

Other symbols

Other symbols
SymbolLATEXCommentSymbolLATEXCommentSymbolLATEXCommentSymbolLATEXComment
\partial\partialpartial derivative\imath\imath \Re\Rereal part\nabla\nabladel (vector calculus)
\eth\eth \jmath\jmath \Im\Imimaginary part\Box\Box 
\hbar\hbarreduced Planck's constant\ell\ell \wp\wp[Weierstrass] powerset\infty\inftyinfinity

Hebrew lettters
SymbolLATEXComment
\aleph\alephaleph numbers
\beth\beth 
\gimel\gimel 

Trigonometric functions

Circular functions
The prefix arc used for inverse circular trigonometric functions is the abbreviation forarcus.
SymbolLATEXSymbolLATEXSymbolLATEXSymbolLATEX
sin\sinarcsin\arcsincsc\cscarccsc\arccsc
cos\cosarccos\arccossec\secarcsec\arcsec
tan\tanarctan\arctancot\cotarccot\arccot

Hyperbolic functions
The abbreviations arcsinharccosh, etc., are commonly used for inverse hyperbolic trigonometric functions (area hyperbolic functions), even though they are misnomers, since the prefix arc is the abbreviation for arcus, while the prefix ar stands for area.
SymbolLATEXSymbolLATEXSymbolLATEXSymbolLATEX
sinh\sinh\operatorname{arsinh}\operatorname{arsinh}\operatorname{csch}\operatorname{csch}\operatorname{arcsch}\operatorname{arcsch}
cosh\cosh\operatorname{arcosh}\operatorname{arcosh}\operatorname{sech}\operatorname{sech}\operatorname{arsech}\operatorname{arsech}
tanh\tanh\operatorname{artanh}\operatorname{artanh}coth\coth\operatorname{arcoth}\operatorname{arcoth}

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