LaTeX Reference

A list of frequently used mathematical notation bits.

Basics

Symbol	Description	LaTeX
$\cdot$	Multiplication dot	\cdot
$\cdots$	Dots	\cdots
$\frac{x}{y}$	Fraction	\frac{x}{y}
$\ge$	Greater than or equal to	\ge
$\le$	Less than or equal to	\le
$\ne$	Not equal to	\ne
$\sum_{i=0}^{n}$	Summation	\sum_{i=0}^{n}
$\infty$	Infinity	\infty
$\lim_{x \to \infty}$	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
$\mathbb{C}$	Complex numbers	\mathbb{C}
$\mathbb{R}$	Real numbers	\mathbb{R}
$\mathbb{Q}$	Rational numbers	\mathbb{Q}
$\mathbb{Z}$	Integers	\mathbb{Z}
$\mathbb{N}$	Natural numbers	\mathbb{N}
$\mathscr{P}$	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
$p \mod q$	Modulo	\mod
$p \pmod{q}$	Modulo in parentheses	\pmod{q}