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SCIENCE POWERHOUSE ARTICLES MATH POWERHOUSE

Mathematical Abbreviations

AC	Axiom of Choice.
adj	adjugate of a matrix.
Ai	Airy function.
Alt	alternating group (Alt(n) is also written as A_n.)
arccos	inverse cosine function.
arccosec	inverse cosecant function. (Also written as arccsc.)
arccot	inverse cotangent function.
arccsc	inverse cosecant function. (Also written as arccosec.)
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.
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.
Aut	automorphism group.
Bi	Airy function of the second kind.
Card	cardinality of a set.(Card(X) is also written #X, #X or \|X\|.)
cdf	cumulative density function.
char	characteristic of a ring.
Cl	topological closure.
cos	cosine function.
cosec	cosecant function. (Also written as csc.)
cosech	hyperbolic cosecant function. (Also written as csch.)
cosh	hyperbolic cosine function.
cot	cotangent function.
coth	hyperbolic cotangent function.
cov	covariance of a pair of random variables.
csc	cosecant function. (Also written as cosec.)
csch	hyperbolic cosecant function. (Also written as cosech.)
curl	curl of a vector field. (Also written as rot.)
deg	degree of a polynomial. (Also written as ∂.)
del	del, a differential operator. (Also written as ∇.)
det	determinant of a matrix or linear transformation.
dim	dimension of a vector space.
div	divergence of a vector field.
dom	domain of a function.(Or, more generally, a relation.)
End	categories of endomorphisms.
Ei	exponential integral function.
erf	error function.
erfc	complementary error function.
exp	exponential function. (exp x is also written as e^x.)
Ext	Ext functor.
ext	exterior.
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.)
GL	general linear group.
grad	gradient of a scalar field.
hcf	highest common factor of two numbers. (Also written as gcd.)
Hom	Hom functor.
iff	if and only if.
Im	image of a function or imaginary part of a complex number
inf	infimum of a set.
int	interior.
Ker	kernel.
lcm	lowest common multiple of two numbers.
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.
ln	natural logarithm, log^e.
log	logarithm. (If without a subscript, this may mean either log₁₀ or loge.)
LST	language of set theory.
lub	least upper bound.(Also written sup.)
max	maximum of a set.
min	minimum of a set.
mod	modulo.
mx	matrix.
NTS	need to show.
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.
PSL	projective special linear group.
ran	range of a function.
Re	real part of a complex number.
resp	respectively.
RHS	right-hand side of an equation.
Rk	rank.
rng	non-unital ring.
rot	rotor of a vector field.
RTP	required to prove.
sec	secant function.
sech	hyperbolic secant function.
seg	initial segment of.
sgn	signum function.
sin	sine function.
sinh	hyperbolic sine function.
SL	special linear group.
Sp	linear span of a set of vectors. (Also written with angle brackets.)
Spec	spectrum of a ring.
st	such that or so that.
STP	[it 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.
tanh	hyperbolic tangent function.
TFAE	the following are equivalent.
Thm	theorem.
Tor	Tor functor.
Tr	trace, either the field trace, or the trace of a matrix or linear transformation.
var	variance of a random variable.
walog	without any loss of generality.
wff	well-formed formula.
wlog	without loss of generality.
WO	well-ordered set.
wrt	with respect to or with regard to.
WTP	want to prove.
WTS	want to show.
ZF	Zermelo–Fraenkel axioms of set theory.
ZFC	Zermelo–Fraenkel axioms (with the Axiom of Choice) of set theory.