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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 ​$\frac{x}{y}$​ 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}