Symbols:Abbreviations

= A =

AC

 * The axiom of choice.

Same as AoC.

ACC

 * The ascending chain condition.

AoC

 * The axiom of choice.

Same as AC.

= B =

BNF

 * Backus-Naur Form (previously Backus Normal Form until the syntax was simplified by Peter Naur).

It was Donald Knuth who suggested the name change, on the grounds that "normal" is an inaccurate description.

BPI

 * The Boolean Prime Ideal Theorem.

= C =

CNF

 * Conjunctive normal form.

= D =

DNF

 * Disjunctive normal form.

= E =

EE
Context: Predicate Logic.


 * Rule of Existential Elimination, which is another term for the Rule of Existential Instantiation (EI).

EG
Context: Predicate Logic.


 * Rule of Existential Generalisation.

EI
Context: Predicate Logic.


 * Rule of Existential Instantiation.

Alternatively, Rule of Existential Introduction, which is another term for the Rule of Existential Generalisation (EG). Beware.

= F =

FCF

 * Finite continued fraction.

= G =

GCD or g.c.d.

 * Greatest common divisor. Also known as highest common factor (h.c.f.).

= H =

HCF or h.c.f.

 * Highest common factor. Also known as greatest common divisor (g.c.d.).

= I =

iff

 * If and only if.

ICF

 * Infinite continued fraction.

I.V.P.

 * $(1): \quad$ The intermediate value property.


 * $(2): \quad$ An initial value problem.

= L =

LCM or l.c.m.

 * The lowest (or least) common multiple.

LHS

 * Left hand side.

In an equation:
 * $\textrm {Expression}\ 1 = \textrm {Expression}\ 2$

the term $\textrm {Expression}\ 1$ is the LHS.

= M =

mno

 * The minimal negation operator.

= N =

NNF

 * Negation normal form.

= O =

ODE

 * An ordinary differential equation.

= P =

PDE

 * A partial differential equation.

PGF or p.g.f.

 * Probability Generating Function.

PMF or p.m.f.

 * Probability mass function.

PNT

 * Prime Number Theorem.

= Q =


 * Q.E.D.

= R =

RHS

 * Right hand side.

In an equation:
 * $\textrm {Expression}\ 1 = \textrm {Expression}\ 2$

the term $\textrm {Expression}\ 2$ is the RHS.

= S =

SCF

 * Simple continued fraction.

SFCF

 * Simple finite continued fraction.

SICF

 * Simple infinite continued fraction.

= U =

UFD

 * Unique Factorization Domain.

URM

 * Unlimited Register Machine. An abstraction of a computing device with certain particular characteristics.

= W =

WFF

 * Well-formed formula.

WLOG

 * Without loss of generality.

Suppose there are several cases which need to be investigated.

If the same argument can be used to dispose of two or more of these cases, then it is acceptable in a proof to pick just one of these cases, and announce this fact with the words: Without loss of generality, ..., or just WLOG.

WRT

 * With respect to.

When performing calculus operations, i.e. differentiation or integration, one needs to announce which variable one is "working with".

Thus the phrase with respect to is (implicitly or explicitly) part of every statement in calculus.

The abbreviation WRT or w.r.t. is frequently seen, and often pronounced something like wurt.

= Z =

ZF

 * Zermelo-Fraenkel Set Theory.

ZFC

 * Zermelo-Fraenkel Set Theory with the Axiom of Choice.