Acronym | Description |
---|---|

AC | Axiom of Choice, or set of absolutely continuous functions. |

a.c. | absolutely continuous. |

acrd | inverse chord function. |

ad | adjoint representation (or adjoint action) of a Lie group. |

adj | adjugate of a matrix. |

a.e. | almost everywhere. |

Ai | Airy function. |

AL | Action limit. |

Alt | alternating group (Alt(n) is also written as An.) |

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 |

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. (Also written as fr or ∂.) |

Bi | Airy function of the second kind. |

BIDMAS | Brackets, Indices, Divide, Multiply, Add, Subtract. |

Bias | bias of an estimator |

BWOC | by way of contradiction |

Card | cardinality of a set. (Card(X) is also written |

cas | cos + sin function. |

cdf | cumulative distribution function. |

c.f. | cumulative frequency. |

c.c. | complex conjugate. |

char | characteristic of a ring. |

Chi | hyperbolic cosine integral function. |

Ci | cosine integral function. |

cis | cos + i sin function. (Also written as expi.) |

Cl | conjugacy class. |

cl | topological closure. |

CLT | central limit theorem. |

cod, codom | codomain. |

cok, coker | cokernel. |

conv | convex hull of a set. |

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, or other recursively-defined objects such as well-formed formulas. (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. |

epi | epigraph of a 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 ex.) |

expi | cos + i sin function. (Also written as cis.) |

expm1 | exponential minus 1 function. (Also written as exp1m.) |

exp1m | exponential minus 1 function. (Also written as expm1.) |

Ext | Ext functor. |

ext | exterior. |

extr | a set of extreme points of a set. |

FIP | finite intersection property. |

FOC | first order condition. |

FOL | first-order logic. |

fr | boundary. (Also written as bd or ∂.) |

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 | generating function. |

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. |

hot | higher order term |

HOTPO | half or triple plus one |

hvc | havercosine function. (Also written as havercos.) |

hyp | hypograph of a function. |

iff | if and only if. |

IH | induction hypothesis. |

iid | independent and identically distributed random variables. |

Im | imaginary part of a complex number (Also written as ℑ \Im ). |

im | image |

inf | infimum of a set. (Also written as glb.) |

int | interior. |

I.o. | Infinitely often. |

ker | kernel. |

lb | binary logarithm (log2). (Also written as ld.) |

lcm | lowest common multiple or least common multiple of two numbers. |

LCHS | locally compact Hausdorff second countable. |

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. |

LLN | law of large numbers. |

ln | natural logarithm, loge. |

lnp1 | natural logarithm plus 1 function. |

ln1p | natural logarithm plus 1 function. |

log | logarithm. (If without a subscript, this may mean either log10 or loge.) |

logh | natural logarithm, loge. |

LST | language of set theory. |

lub | least upper bound. (Also written sup.) |

max | maximum of a set. |

MGF | moment-generating function. |

M.I. | mathematical induction. |

min | minimum of a set. |

mod | modulo. |

Mp | metaplectic group. |

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. |

OBGF | ordinary bivariate generating function. |

ob | object class. |

ord | ordinal number of a well-ordered set. |

probability density function. | |

pf | proof. |

PGL | projective general linear group. |

Pin | pin group. |

pmf | probability mass function. |

Pn | previous number. |

Pr | probability of an event. (See Probability theory. Also written as P or P .) |

PSL | projective special linear group. |

PSO | projective orthogonal group. |

PSU | projective special unitary group. |

PU | projective unitary 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 geometrical construction. |

ran | range of a function. |

rank | rank of a matrix. (Also written as rk.) |

Re | real part of a complex number. (Also written ℜ \Re .) |

resp | respectively. |

RHS | right-hand side of an equation. |

rk | rank. (Also written as rank.) |

RMS, rms | root mean square. |

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.) |

SD | standard deviation |

SE | standard error |

sec | secant function. |

sech | hyperbolic secant function. |

seg | initial segment of. |

sem | haversine function. (Also written as hav.) |

SFIP | strong finite intersection property. |

sgn | sign 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. |

SO | special orthogonal group. |

SOC | second order condition. |

Soln | solution. |

Sp | trace of a matrix, from the German "spur" used for the trace. |

sp | linear span of a set of vectors. (Also written with angle brackets.) |

Spec | spectrum of a ring. |

Spin | spin group. |

s.t. | such that or so that or subject to. |

st | standard part function. |

STP | sufficient to prove. |

SU | special unitary group. |

sup | supremum of a set. (Also written as lub, which stands for least upper bound.) |

supp | support of a function. |

swish | swish function, an activation function in data analysis. |

Sym | symmetric group (Sym(n) is also written as Sn) or symmetric algebra. |

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 |

v | volume. |

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 |

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. |

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### Math Acronyms

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