CS70 Guide
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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}