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Mathematical Typesetting

Complete LaTeX Math Symbols Cheatsheet

This cheatsheet covers the most commonly used math symbols in LaTeX. All symbols work inside math mode ($...$, \[...\], or equation environments). Bookmark this page for quick reference.

Greek Letters

Lowercase and uppercase Greek letters used in mathematics and science:

% Lowercase
$\alpha \quad \beta \quad \gamma \quad \delta \quad \epsilon \quad \varepsilon$
$\zeta \quad \eta \quad \theta \quad \vartheta \quad \iota \quad \kappa$
$\lambda \quad \mu \quad \nu \quad \xi \quad \pi \quad \rho$
$\sigma \quad \tau \quad \upsilon \quad \phi \quad \varphi \quad \chi \quad \psi \quad \omega$

% Uppercase
$\Gamma \quad \Delta \quad \Theta \quad \Lambda \quad \Xi \quad \Pi$
$\Sigma \quad \Upsilon \quad \Phi \quad \Psi \quad \Omega$
Output: All Greek letters rendered in their mathematical forms.

Operators and Functions

Binary operators, common functions, and big operators:

% Binary operators
$a + b \quad a - b \quad a \times b \quad a \div b \quad a \cdot b$
$a \pm b \quad a \mp b \quad \frac{a}{b}$

% Functions (upright in math mode)
$\sin x \quad \cos x \quad \tan x \quad \log x \quad \ln x \quad \exp(x)$
$\min(a,b) \quad \max(a,b) \quad \lim_{x \to \infty} f(x)$

% Big operators
$\sum_{i=1}^{n} x_i \quad \prod_{i=1}^{n} x_i \quad \int_{a}^{b} f(x)\,dx$
Output: Neatly typeset operators, trig functions, and summation/integral notation.

Relations and Comparisons

Equality, inequality, and logical relation symbols:

% Equality and inequality
$a = b \quad a \neq b \quad a \approx b \quad a \equiv b$
$a < b \quad a > b \quad a \leq b \quad a \geq b$
$a \ll b \quad a \gg b \quad a \sim b \quad a \propto b$

% Logic
$A \implies B \quad A \iff B \quad \neg A$
$A \land B \quad A \lor B \quad \forall x \quad \exists x$
Output: Relation symbols, inequalities, and logical connectives.

Arrows

Directional arrows for mappings, implications, and diagrams:

$\leftarrow \quad \rightarrow \quad \leftrightarrow$
$\Leftarrow \quad \Rightarrow \quad \Leftrightarrow$
$\longrightarrow \quad \longleftarrow \quad \longleftrightarrow$
$\uparrow \quad \downarrow \quad \updownarrow$
$\mapsto \quad \hookrightarrow \quad \nearrow \quad \searrow$

% Use amssymb for more:
% \usepackage{amssymb}
$\dashrightarrow \quad \twoheadrightarrow$
Output: A collection of arrow symbols in various directions and styles.

Set Theory and Calculus

Symbols for sets, membership, and calculus notation:

% Set theory
$\in \quad \notin \quad \subset \quad \supset \quad \subseteq \quad \supseteq$
$\cup \quad \cap \quad \setminus \quad \emptyset \quad \varnothing$
$\mathbb{N} \quad \mathbb{Z} \quad \mathbb{Q} \quad \mathbb{R} \quad \mathbb{C}$

% Calculus
$\nabla f \quad \partial x \quad \infty$
$\int \quad \iint \quad \iiint \quad \oint$
$\dot{x} \quad \ddot{x} \quad \hat{x} \quad \bar{x} \quad \vec{x} \quad \tilde{x}$

% Requires \usepackage{amssymb} for \mathbb
Output: Set-theoretic symbols, number-set blackboard bold letters, and calculus operators.

💡 Tips

  • •Use \usepackage{amssymb} and \usepackage{amsmath} for the full symbol set
  • •\quad adds a wide space between symbols; \, adds a thin space
  • •For a symbol you can't find, try Detexify (draw it and get the command)
  • •\DeclareMathOperator{\argmin}{arg\,min} creates a custom operator like \sin

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