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A

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* G.)

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 (log_{10}) *or* binary logarithm (log_{2}).

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* log_{10} *or* log*e*.)

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.

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