LaTeX Reference

A list of frequently used mathematical notation bits.

Basics

Symbol

Description

LaTeX

\cdot

Multiplication dot

\cdot

\cdots

Dots

\cdots

xy\frac{x}{y}

Fraction

\frac{x}{y}

\ge

Greater than or equal to

\ge

\le

Less than or equal to

\le

\ne

Not equal to

\ne

i=0n\sum_{i=0}^{n}

Summation

\sum_{i=0}^{n}

\infty

Infinity

\infty

limx\lim_{x \to \infty}

Limit

\lim_{x \to \infty}

Propositional Logic

Symbol

Description

LaTeX

\implies

Implication

\implies

\iff

Logical equivalence

\iff

\equiv

Congruence

\equiv

\exists

Existence

\exists

\in

Inclusion

\in

\land

Conjunction (and)

\land

\lor

Disjunction (or)

\lor

¬\lnot

Negation (not)

\lnot

\forall

For all

\forall

\oplus

Exclusive or (xor)

\oplus

Sets

Symbol

Description

LaTeX

C\mathbb{C}

Complex numbers

\mathbb{C}

R\mathbb{R}

Real numbers

\mathbb{R}

Q\mathbb{Q}

Rational numbers

\mathbb{Q}

Z\mathbb{Z}

Integers

\mathbb{Z}

N\mathbb{N}

Natural numbers

\mathbb{N}

P\mathscr{P}

Power set

\mathscr{P}

\cup

Union (set or)

\cup

\cap

Intersection (set and)

\cap

\emptyset

Empty Set

\emptyset

\setminus

Set Division

\setminus

\subseteq

Subset (inclusive)

\subseteq

Modular Arithmetic

Symbol

Description

LaTeX

pmodqp \mod q

Modulo

\mod

p(modq)p \pmod{q}

Modulo in parentheses

\pmod{q}