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All the predefined mathematical symbols from the TeX package are listed below. More symbols are available from extra packages.
Greek letters
Greek letters
Symbol  LaTeX
 Symbol  LaTeX

Α and α  \Alpha and \alpha
 Ν and ν  \Nu and \nu

Β and β  \Beta and \beta
 Ξ and ξ  \Xi and \xi

Γ and γ  \Gamma and \gamma
 Ο and ο  \Omicron and \omicron

Δ and δ  \Delta and \delta
 Π, π and  \Pi, \pi and \varpi

Ε, ε and  \Epsilon, \epsilon and \varepsilon
 Ρ, ρ and  \Rho, \rho and \varrho

Ζ and ζ  \Zeta and \zeta
 Σ, σ and  \Sigma, \sigma and \varsigma

Η and η  \Eta and \eta
 Τ and τ  \Tau and \tau

Θ, θ and  \Theta, \theta and \vartheta
 Υ and υ  \Upsilon and \upsilon

Ι and ι  \Iota and \iota
 Φ, φ, and  \Phi, \phi and \varphi

Κ, κ and  \Kappa, \kappa and \varkappa
 Χ and χ  \Chi and \chi

Λ and λ  \Lambda and \lambda
 Ψ and ψ  \Psi and \psi

Μ and μ  \Mu and \mu
 Ω and ω  \Omega and \omega


Archaic Greek letters
Symbol  LaTeX

Failed to parse (unknown function\Digamma): \Digamma
 \Digamma

 \digamma


Unary operators
Relation operators
Relation operators
Symbol  LaTeX  Comment
 Symbol  LaTeX  Comment

 <  is less than
  >  is greater than

 \nless  is not less than
  \ngtr  is not greater than

 \leq  is less than or equal to
  \geq  is greater than or equal to

 \leqslant  is less than or equal to
  \geqslant  is greater than or equal to

 \nleq  is neither less than nor equal to
  \ngeq  is neither greater than nor equal to

 \nleqslant  is neither less than nor equal to
  \ngeqslant  is neither greater than nor equal to

 \prec  precedes
  \succ  succeeds

 \nprec  doesn't precede
  \nsucc  doesn't succeed

 \preceq  precedes or equals
  \succeq  succeeds or equals

 \npreceq  neither precedes nor equals
  \nsucceq  neither succeeds nor equals

 \ll 
  \gg 

 \lll 
  \ggg 

 \subset  is a proper subset of
  \supset  is a proper superset of

 \not\subset  is not a proper subset of
  \not\supset  is not a proper superset of

 \subseteq  is a subset of
  \supseteq  is a superset of

 \nsubseteq  is not a subset of
  \nsupseteq  is not a superset of

 \sqsubset 
  \sqsupset 

 \sqsubseteq 
  \sqsupseteq 


Symbol  LaTeX  Comment

 =  is equal to

 \doteq 

 \equiv  is equivalent to

 \approx  is approximately

 \cong  is congruent to

 \simeq  is similar or equal to

˜  \sim  is similar to

 \propto  is proportional to

or  \neq or \ne  is not equal to


Symbol  LaTeX  Comment
 Symbol  LaTeX  Comment

 \parallel  is parallel with
  \nparallel  is not parallel with

 \asymp  is asymptotic to
  \bowtie 

 \vdash 
  \dashv 

 \in  is member of
  \ni  owns, has member

 \smile 
  \frown 

 \models  models
  \notin  is not member of

 \perp  is perpendicular with
  \mid  divides


Binary operators
Binary operators
Symbol  LaTeX  Comment
 Symbol  LaTeX  Comment
 Symbol  LaTeX  Comment
 Symbol  LaTeX  Comment

 \pm  plus or minus
  \cap  set intersection
  \diamond 
  \oplus 

 \mp  minus or plus
  \cup  set union
  \bigtriangleup 
  \ominus 

 \times  multiplied by
  \uplus  multiset addition
  \bigtriangledown 
  \otimes 

 \div  divided by
  \sqcap 
  \triangleleft 
  \oslash 

 \ast  asterisk
  \sqcup 
  \triangleright 
  \odot 

 \star 
  \vee 
  \bigcirc 
  \circ 

 \dagger 
  \wedge 
  \bullet 
  \setminus  set difference

 \ddagger 
  \cdot 
  \wr 
  \amalg 


Negated binary operators
Negated binary operators
Symbol  LaTeX  Comment
 Symbol  LaTeX  Comment

or  \neq or \ne  is not equal to
  \notin  is not member of

 \nless  is not less than
  \ngtr  is not greater than

 \nleq  is not less than or equal to
  \ngeq  is not greater than or equal to

 \nleqslant 
  \ngeqslant 

 \nleqq 
  \ngeqq 

 \lneq 
  \gneq 

 \lneqq 
  \gneqq 

 \lvertneqq 
  \gvertneqq 

 \lnsim 
  \gnsim 

 \lnapprox 
  \gnapprox 

 \nprec  does not precede
  \nsucc  does not succeed

 \npreceq  neither precedes nor equals
  \nsucceq  neither succedes nor equals

 \precneqq 
  \succneqq 

 \precnsim 
  \succnsim 

 \precnapprox 
  \succnapprox 

 \nsim  is not similar to
  \ncong  is not congruent to

 \nshortmid 
  \nshortparallel 

 \nmid 
  \nparallel  is not parallel with

 \nvdash 
  \nvDash 

 \nVdash 
  \nVDash 

 \ntriangleleft 
  \ntriangleright 

 \ntrianglelefteq 
  \ntrianglerighteq 

 \nsubseteq 
  \nsupseteq 

 \nsubseteqq 
  \nsupseteqq 

 \subsetneq 
  \supsetneq 

 \varsubsetneq 
  \varsupsetneq 

 \subsetneqq 
  \supsetneqq 

 \varsubsetneqq 
  \varsupsetneqq 


Set and/or logic notation
Geometry
Geometry notation
Symbol  LaTeX  Comment
 Symbol  LaTeX  Comment

 \overline{\rm AB}  segment
  \overrightarrow{\rm AB}  ray (halfline)

 \angle  angle
  \measuredangle  measured angle

 \triangle  triangle
  \square  square

 \cong  congruent (same shape and size)
  \ncong  not congruent

˜  \sim  similar (same shape)
  \nsim  not similar

 \  is parallel with
  \nparallel  is not parallel with

 \perp  is perpendicular to
  \not\perp  is not perpendicular to


Delimiters
Delimiters
Symbol  LaTeX  Comment
 Symbol  LaTeX  Comment
 Symbol  LaTeX  Comment
 Symbol  LaTeX  Comment

   divides
  \  divides unitarily, is parallel with
  /  slash
  \backslash 

 ( \,  left parenthesis
  ) \,  right parenthesis
  [ \,  left [square] bracket
  ] \,  right [square] bracket

{  \{  left brace
 }  \}  right brace
  \langle  left angle bracket
  \rangle  right angle bracket

 \lceil  ceiling (left)
  \rceil  ceiling (right)
  \lfloor  floor (left)
  \rfloor  floor (right)

 \ulcorner 
  \urcorner 
  \llcorner 
  \lrcorner 


Arrows
Arrows
Symbol  LaTeX  Comment
 Symbol  LaTeX  Comment
 Symbol  LaTeX  Comment
 Symbol  LaTeX  Comment

or  \rightarrow or \to 
  \Rightarrow 
  \longrightarrow 
  \Longrightarrow 

 \mapsto 
  
  \longmapsto 
  

or  \leftarrow or \gets 
  \Leftarrow 
  \longleftarrow 
  \Longleftarrow 


Symbol  LaTeX  Comment
 Symbol  LaTeX  Comment

 \uparrow  Knuth's uparrow notation
  \Uparrow 

 \downarrow 
  \Downarrow 

 \updownarrow 
  \Updownarrow 


Other symbols
Trigonometric functions
Circular functions
The prefix arc used for inverse circular trigonometric functions is the abbreviation for arcus.
Symbol  LaTeX
 Symbol  LaTeX
 Symbol  LaTeX
 Symbol  LaTeX

sin  \sin
 arcsin  \arcsin
 csc  \csc
 arccsc  \arccsc

cos  \cos
 arccos  \arccos
 sec  \sec
 arcsec  \arcsec

tan  \tan
 arctan  \arctan
 cot  \cot
 arccot  \arccot


Hyperbolic functions
The abbreviations arcsinh, arccosh, 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.
Symbol  LaTeX
 Symbol  LaTeX
 Symbol  LaTeX
 Symbol  LaTeX

sinh  \sinh
  \operatorname{arsinh}
  \operatorname{csch}
  \operatorname{arcsch}

cosh  \cosh
  \operatorname{arcosh}
  \operatorname{sech}
  \operatorname{arsech}

tanh  \tanh
  \operatorname{artanh}
 coth  \coth
  \operatorname{arcoth}


Sections remaining to be done: Table 3 onwards from symbols.pdf ^{[1]}
Notes
 ↑ To do.
External links