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}yx​
​
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}∑i=0n​
​
Summation
\sum_{i=0}^{n}
​∞\infty∞
​
Infinity
\infty
​lim⁡x→∞\lim_{x \to \infty}limx→∞​
​
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}C
​
Complex numbers
\mathbb{C}
​R\mathbb{R}R
​
Real numbers
\mathbb{R}
​Q\mathbb{Q}Q
​
Rational numbers
\mathbb{Q}
​Z\mathbb{Z}Z
​
Integers
\mathbb{Z}
​N\mathbb{N}N
​
Natural numbers
\mathbb{N}
​P\mathscr{P}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
​pmod  qp \mod qpmodq
​
Modulo
\mod
​p(modq)p \pmod{q}p(modq)
​
Modulo in parentheses
\pmod{q}

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Overview

Last modified 2yr ago

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}`

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`

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`