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List of mathematical abbreviations ：ウィキペディア英語版

List of mathematical abbreviations
This article is a listing of abbreviated names of mathematical functions, function-like operators and other mathematical terminology.
:''This list is limited to abbreviations of two or more letters. The capitalization of some of these abbreviations is not standardized – different authors use different capitalizations.''
:
* AC – Axiom of Choice.
* a.c. – absolutely continuous.
* acrd – inverse chord function.
* adj – adjugate of a matrix.
* a.e. – almost everywhere.
* Ai – Airy function.
* AL – Action limit.
* Alt – alternating group (Alt(''n'') ''is also written as'' A_''n''.)
* A.M. – arithmetic mean.
* arccos – inverse cosine function.
* arccosec – inverse cosecant function. (''Also written as'' arccsc.)
* arccot – inverse cotangent function.
* arccsc – inverse cosecant function. (''Also written as'' arccosec.)
* arcexc – inverse excosecant function. (''Also written as'' arcexcsc'','' arcexcosec.)
* arcexcosec – inverse excosecant function. (''Also written as'' arcexcsc'','' arcexc.)
* arcexcsc – inverse excosecant function. (''Also written as'' arcexcosec'','' arcexc.)
* arcexs – inverse exsecant function. (''Also written as'' arcexsec.)
* arcexsec – inverse exsecant function. (''Also written as'' arcexs.)
* arcosech – inverse hyperbolic cosecant function. (''Also written as'' arcsch.)
* arcosh – inverse hyperbolic cosine function.
* arcoth – inverse hyperbolic cotangent function.
* arcsch – inverse hyperbolic cosecant function. (''Also written as'' arcosech.)
* arcsec – inverse secant function.
* arcsin – inverse sine function.
* arctan – inverse tangent function.
* arctan2 – inverse tangent function with two arguments. (''Also written as'' atan2.)
* arg – argument of a complex number.
* arg max – argument of the maximum.
* arg min – argument of the minimum.
* arsech – inverse hyperbolic secant function.
* arsinh – inverse hyperbolic sine function.
* artanh – inverse hyperbolic tangent function.
* a.s. – almost surely.
* atan2 – inverse tangent function with two arguments. (''Also written as'' arctan2.)
* A.P. – arithmetic progression.
* Aut – automorphism group.
* bd – boundary.
* Bi – Airy function of the second kind.
* Bias – bias of an estimator
* Card – cardinality of a set. (Card(''X'') ''is also written'' #''X'', ♯''X'' ''or'' |''X''|.)
* cdf – cumulative distribution function.
* c.f. – cumulative frequency.
* char – characteristic of a ring.
* Chi – hyperbolic cosine integral function.
* Ci – cosine integral function.
* cis – cos + i sin function.
* Cl – conjugacy class.
* cl – topological closure.
* cod – codomain. (''Also written as'' codom.)
* codom – codomain. (''Also written as'' cod.)
* cok – cokernel. (''Also written as'' coker.)
* coker – cokernel. (''Also written as'' cok.)
* Cor – corollary.
* corr – correlation.
* cos – cosine function.
* cosec – cosecant function. (''Also written as'' csc.)
* cosech – hyperbolic cosecant function. (''Also written as'' csch.)
* cosh – hyperbolic cosine function.
* cosiv – coversine function. (''Also written as'' cover'','' covers'','' cvs.)
* cot – cotangent function. (''Also written as'' ctg.)
* coth – hyperbolic cotangent function.
* cov – covariance of a pair of random variables.
* cover – coversine function. (''Also written as'' covers'','' cvs'','' cosiv.)
* covercos – covercosine function. (''Also written as'' cvc.)
* covers – coversine function. (''Also written as'' cover'','' cvs'','' cosiv.)
* crd – chord function.
* csc – cosecant function. (''Also written as'' cosec.)
* csch – hyperbolic cosecant function. (''Also written as'' cosech.)
* ctg – cotangent function. (''Also written as'' cot.)
* curl – curl of a vector field. (''Also written as'' rot.)
* cvc – covercosine function. (''Also written as'' covercos.)
* cvs – coversine function. (''Also written as'' cover'','' covers'','' cosiv.)
* def – define or definition.
* deg – degree of a polynomial. (''Also written as'' ∂.)
* del – del, a differential operator. (''Also written as''

\nabla

.)
* det – determinant of a matrix or linear transformation.
* dim – dimension of a vector space.
* div – divergence of a vector field.
* dkl – decalitre
* DNE – a solution for an expression does not exist, or is undefined. Generally used with limits and integrals.
* dom – domain of a function.〔 (''Or, more generally, a relation.'')
* End – categories of endomorphisms.
* Ei – exponential integral function.
* Eqn – equation.
* erf – error function.
* erfc – complementary error function.
* etr — exponent of the trace.
* exc — excosecant function. (''Also written as'' excsc'','' excosec.)
* excosec — excosecant function. (''Also written as'' excsc'','' exc.)
* excsc — excosecant function. (''Also written as'' excosec'','' exc.)
* exs — exsecant function. (''Also written as'' exsec.)
* exsec — exsecant function. (''Also written as'' exs.)
* exp – exponential function. (exp ''x'' ''is also written as'' ''e^x''.)
* expm1 – exponential minus 1 function. (''Also written as'' exp1m.)
* exp1m – exponential minus 1 function. (''Also written as'' expm1.)
* Ext – Ext functor.
* ext – exterior.
* FIP – finite intersection property.
* FOL – first-order logic.
* Frob – Frobenius endomorphism.
* Gal – Galois group. (''Also written as'' Γ.)
* gcd – greatest common divisor of two numbers. (''Also written as'' hcf.)
* gd – Gudermannian function.
* GF – Galois field.
* GL – general linear group.
* G.M. – geometric mean.
* glb – greatest lower bound. (''Also written as'' inf.)
* G.P. – geometric progression.
* grad – gradient of a function.
* hacover – hacoversine function. (''Also written as'' hacovers'','' hcv.)
* hacovercos – hacovercosine function. (''Also written as'' hcc.)
* hacovers – hacoversine function. (''Also written as'' hacover'','' hcv.)
* hav – haversine function. (''Also written as'' sem.)
* havercos – havercosine function. (''Also written as'' hvc.)
* hcc – hacovercosine function. (''Also written as'' hacovercos.)
* hcv – hacoversine function. (''Also written as'' hacover'','' hacovers.)
* hcf – highest common factor of two numbers. (''Also written as'' gcd.)
* H.M. – harmonic mean.
* HOL – higher-order logic.
* Hom – Hom functor.
* hom – hom-class.
* hvc – havercosine function. (''Also written as'' havercos.)
* iff – if and only if.
* iid – independent and identically distributed random variables.
* Im – imaginary part of a complex number〔 (''Also written as''

\Im

).
* im – image
* inf – infimum of a set. (''Also written as'' glb.)
* int – interior.
* ker – kernel.
* lb – binary logarithm (log₂). (''Also written as'' ld.)
* lcm – lowest common multiple of two numbers.
* ld – binary logarithm (log₂). (''Also written as'' lb.)
* lerp – linear interpolation.
* lg – common logarithm (log₁₀) ''or'' binary logarithm (log₂).
* LHS – left-hand side of an equation.
* Li – offset logarithmic integral function.
* li – logarithmic integral function ''or'' linearly independent.
* lim – limit of a sequence, or of a function.
* lim inf – limit inferior.
* lim sup – limit superior.
* ln – natural logarithm, log_''e''.
* lnp1 – natural logarithm plus 1 function.
* ln1p – natural logarithm plus 1 function.
* log – logarithm. (''If without a subscript, this may mean either'' log₁₀ ''or'' log_''e''.)
* logh – natural logarithm, log_''e''.
* LST – language of set theory.
* lub – least upper bound.〔 (''Also written'' sup.)
* max – maximum of a set.
* M.I. – mathematical induction.
* min – minimum of a set.
* mod – modulo.
* mtanh – modified hyperbolic tangent function. (''Also written as'' mth.)
* mth – modified hyperbolic tangent function. (''Also written as'' mtanh.)
* mx – matrix.
* NAND – not-and in logic.
* No. – number.
* NOR – not-or in logic.
* NTS – need to show.
* ob – object class.
* ord – ordinal number of a well-ordered set.〔
* pdf – probability density function.
* pf – proof.
* PGL – projective general linear group.
* pmf – probability mass function.
* Pr – probability of an event. (''See Probability theory. Also written as'' P ''or''

\mathbb

.)
* PSL – projective special linear group.
* QED – "Quod erat demonstrandum", a Latin phrase used at the end of a definitive proof.
* QEF – "quod erat faciendum", a Latin phrase sometimes used at the end of a construction.
* ran – range of a function.
* rank – rank. (''Also written as'' rk.)
* Re – real part of a complex number.〔 (''Also written''

\Re

.)
* resp – respectively.
* RHS – right-hand side of an equation.
* rk – rank. (''Also written as'' rank.)
* RMS – root mean square. (''Also written as'' rms.)
* rms – root mean square. (''Also written as'' RMS.)
* rng – non-unital ring.
* rot – rotor of a vector field. (''Also written as'' curl.)
* RTP – required to prove.
* RV – Random Variable. (or as R.V.)
* sec – secant function.
* sech – hyperbolic secant function.
* seg – initial segment of.〔
* sem – haversine function. (''Also written as'' hav.)
* SFIP – strong finite intersection property.
* sgn – signum function.
* Shi – hyperbolic sine integral function.
* Si – sine integral function.
* sin – sine function.
* sinc – sinc function.
* sinh – hyperbolic sine function.
* siv – versine function. (''Also written as'' ver'','' vers.)
* SL – special linear group.
* Soln – solution.
* sp – linear span of a set of vectors. (''Also written with angle brackets.'')
* Spec – spectrum of a ring.
* s.t. – such that ''or'' so that.
* st – standard part function.
* STP – (is ) sufficient to prove.
* sup – supremum of a set.〔 (''Also written'' lub.)
* supp – support of a function.
* Sym – symmetric group (Sym(''n'') ''is also written as'' S_''n''.)
* tan – tangent function. (''Also written as'' tgn'','' tg.)
* tanh – hyperbolic tangent function.
* TFAE – the following are equivalent.
* tg – tangent function. (''Also written as'' tan'','' tgn.)
* tgn – tangent function. (''Also written as'' tan'','' tg.)
* Thm – theorem.
* Tor – Tor functor.
* Tr – trace, either the field trace, or the trace of a matrix or linear transformation.
* undef – a function or expression is undefined
* var – variance of a random variable.
* vcs – vercosine function. (''Also written as'' vercos.)
* ver – versine function. (''Also written as'' vers'','' siv.)
* vercos – vercosine function. (''Also written as'' vcs.)
* vers – versine function. (''Also written as'' ver'','' siv.)
* W^5 – which was what we wanted. Synonym of Q.E.D.
* walog – without any loss of generality.
* wff – well-formed formula.
* whp – with high probability.
* wlog – without loss of generality.
* WMA – we may assume.
* WO – well-ordered set.〔
* wp1 - with probability 1.
* wrt – with respect to ''or'' with regard to.
* WTP – want to prove.
* WTS – want to show.
* XOR – exclusive or in logic.
* ZF – Zermelo–Fraenkel axioms of set theory.〔
* ZFC – Zermelo–Fraenkel axioms (with the Axiom of Choice) of set theory.〔
==References==
〔

抄文引用元・出典: フリー百科事典『ウィキペディア（Wikipedia）』
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