🗒️ Ben's Notes

LaTeX Reference

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Basics #

SymbolDescriptionLaTeX
$\cdot$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 #

SymbolDescriptionLaTeX
$\implies$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 #

SymbolDescriptionLaTeX
$\mathbb{C}$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 #

SymbolDescriptionLaTeX
$p \mod q$Modulo\mod
$p \pmod{q}$Modulo in parentheses\pmod{q}