ABBR,MEANING
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 #X, ♯X or |X|)"
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 {\displaystyle \nabla }\nabla )"
det,determinant of a matrix or linear transformation
dim,dimension of a vector space
div,divergence of a vector field
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,Galois field
GF,generating function
GL,general linear group
GM,geometric mean
glb,greatest lower bound (also written as inf)
GP,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 {\displaystyle \Im }\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 (a.k.a. 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
pdf,probability density function
pf,proof
PGL,projective general linear group
PI,the constant 3.14159265359
Pin,pin group.
pmf,probability mass function
Pn,previous number
Pr,probability of an event
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
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)
R,Real numbers
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,symplectic group
Sp,"trace of a matrix, from the German 'spur' used for the trace"
sp,"linear span of a set of vectors (also written as span or 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,[it is] 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
TAU,"the constant 6.283185307179586476925286766559"
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 to or with regard to
WTP,want to prove
WTS,want to show
XOR,exclusive or in logic
XYZ,"Cartesian coordinate system (x,y,z)"
ZF,Zermelo–Fraenkel axioms of set theory
ZFC,Zermelo–Fraenkel axioms (with the Axiom of Choice) of set theory