LaTeX Math Symbols: The Commands You Actually Need
Quick answer: LaTeX writes maths with commands inside maths mode: $\alpha + \beta$ gives α + β, \frac{a}{b} a fraction, \sqrt{x} a root, \sum ∑, \int ∫ and \infty ∞. Most commands are built in; double-struck letters such as ℝ need \usepackage{amssymb}. Below are the commands people look up most, grouped by topic, with the symbol each one produces.
Maths mode basics
- Inline:
$E = mc^2$. Displayed on its own line:\[ E = mc^2 \]. - Superscript
^and subscript_; use braces for more than one character:x^{10},a_{ij}. - Normal words inside maths:
\text{if }(from amsmath).
Greek letters
\alpha α, \beta β, \gamma γ, \delta δ, \epsilon ϵ / \varepsilon ε, \theta θ, \lambda λ, \mu μ, \pi π, \sigma σ, \phi ϕ / \varphi φ, \omega ω. Capitals start with an upper-case letter: \Gamma Γ, \Delta Δ, \Sigma Σ, \Omega Ω. Capitals that look like Latin letters (A, B, E…) have no command; just type the letter. To type the Greek characters directly elsewhere, see how to type Greek letters.
Operators and relations
| Command | Symbol | Command | Symbol |
|---|---|---|---|
\times | × | \div | ÷ |
\pm | ± | \cdot | ⋅ |
\neq | ≠ | \approx | ≈ |
\leq | ≤ | \geq | ≥ |
\equiv | ≡ | \cong | ≅ |
\propto | ∝ | \sim | ∼ |
Fractions, roots, sums and integrals
\frac{a}{b}: fraction.\sqrt{x}: √x,\sqrt[3]{x}: cube root.\sum_{i=1}^{n}: ∑ with limits.\prod: ∏.\int_a^b f(x)\,dx: ∫ with limits (\,adds a thin space before dx).\iint∬,\oint∮.\lim_{x \to 0}: limit.\partial∂,\nabla∇,\infty∞.
Meanings of these symbols are explained in calculus symbols.
Sets, logic and arrows
\in ∈, \notin ∉, \subset ⊂, \subseteq ⊆, \cup ∪, \cap ∩, \setminus ∖, \emptyset ∅ (or \varnothing), \mathbb{R} ℝ, \forall ∀, \exists ∃, \neg ¬, \land ∧, \lor ∨, \Rightarrow ⇒, \Leftrightarrow ⇔, \to →, \mapsto ↦. See set theory symbols.
Accents
\bar{x} x̄, \hat{p} p̂, \vec{v} (arrow over v), \dot{x} (dot over x), \overline{AB} (long bar). In plain text, x̄ needs a combining mark; see statistics symbols.
Finding a command you don't know
- Draw the symbol in Detexify and it suggests the command.
- The Comprehensive LaTeX Symbol List on CTAN lists thousands of symbols and the package each needs.
Using the same commands outside LaTeX
Word's equation editor (Alt+=) and Google Docs equations accept many of these commands followed by a space, which is often the fastest way to type maths in a document (see symbols in Word). Notion, Jupyter and many websites render LaTeX through KaTeX or MathJax. For a single symbol in ordinary text, though, copying the character from our math symbols pages is quicker.
Frequently asked questions
How do I write math in LaTeX?
Put inline maths between dollar signs, for example $x^2 + y^2 = z^2$, and display maths between \[ and \]. Inside maths mode, commands such as \alpha, \frac{a}{b} and \sqrt{x} produce the symbols.
What does "Undefined control sequence" mean?
LaTeX does not know the command: it is misspelled, or it comes from a package you have not loaded. For example \mathbb needs \usepackage{amssymb}.
How do I type the degree sign in LaTeX?
In maths mode write ^\circ, as in 90^\circ. With the siunitx package, \ang{90} or \SI{25}{\degreeCelsius} give correct spacing.
Can I use these commands outside LaTeX?
Many of them, yes. Word's equation editor (Alt + =) and Google Docs equations accept commands such as \alpha, \sum and \infty followed by a space, and many websites render LaTeX with MathJax or KaTeX.
Looking for something else? Browse 1,000+ copy-paste symbols, the full Alt Codes finder, or the emoji picker.