LaTeX Symbols: The Complete List (Math, Greek, Arrows, Sets, Logic)
Quick answer
- Math mode: almost every symbol is a backslash command that only works inside math:
$\alpha \leq \infty$in a sentence, or\[ ... \]on its own line. - Text mode: the reserved characters need a backslash:
\# \$ \% \& \_ \{ \}, plus\textasciitilde,\textasciicircumand\textbackslash. - Packages: load
amsmathandamssymb. Without amssymb,\mathbb{R},\thereforeand\varnothinggive “Undefined control sequence”. - Find a symbol: search the Octree symbols reference, draw it in Detexify, or run
texdoc symbolsfor the 200-page Comprehensive LaTeX Symbol List.
\documentclass{article}
\usepackage{amsmath} % \implies, \iint, \text, \xrightarrow
\usepackage{amssymb} % \mathbb, \therefore, \varnothing, \nexists
\begin{document}
Inline: $x \approx 3.14$, $\alpha \leq \beta$, $A \subseteq B$.
Displayed:
\[
\forall \varepsilon > 0 \; \exists \delta > 0 :
|x - a| < \delta \implies |f(x) - f(a)| < \varepsilon
\]
Text mode: 50\% off, R\&D, item \#3, a\_b.
\end{document}LaTeX has a command for every symbol you are likely to need, from ± and ≈ to ∀, ⇒ and ∑. This page is the complete list of the common ones, grouped the way you look for them: math operators, Greek symbols, relations, logic and sets, arrows, brackets, special characters in text and the big operators. Each table gives the symbol, the command, the package (if any) and what it usually means; click a symbol to open its own page with variants and copy-ready code. Every snippet compiles as shown.
Math Mode vs Text Mode
LaTeX typesets text and math differently, and most symbol commands exist in only one of the two. Math symbols (\pm, \leq, \alpha, \rightarrow) must be inside $...$, \( ... \), \[ ... \] or an equation/align environment. Text symbols (\textbackslash, \textasciitilde, \textdegree) belong in ordinary paragraphs. A few, such as \$, \%, \# and \&, work in both. Using a math command in text is the cause of the “Missing $ inserted” error; see mathematical expressions for the basics of math mode.
\documentclass{article}
\usepackage{amssymb}
\begin{document}
In text: 25\textdegree{}C, \S 2.1, \copyright{} 2026, 10\% and \$5.
In math: $25^\circ$, $a \pm b$, $x \in \mathbb{R}$, $f \colon A \to B$.
\end{document}Math Symbols in LaTeX
The arithmetic operators and the most used calculus symbols are built in; none of them needs a package. Use \cdot rather than * for multiplication and \times for the cross product or dimensions (3 × 4). All math symbols are listed in the math symbols reference, with more binary operators under operators.
| Symbol | Command | Package | Meaning |
|---|---|---|---|
| + | + | none | Addition |
| − | - | none | Subtraction, minus sign |
| ± | \pm | none | Plus or minus |
| ∓ | \mp | none | Minus or plus |
| × | \times | none | Multiplication, cross product |
| ÷ | \div | none | Division |
| ⋅ | \cdot | none | Multiplication dot, dot product |
| ∗ | \ast | none | Asterisk, convolution |
| ∘ | \circ | none | Function composition |
| • | \bullet | none | Bullet operator |
| a⁄b | \frac{a}{b} | none | Fraction |
| √x | \sqrt{x} | none | Square root |
| ⁿ√x | \sqrt[n]{x} | none | n-th root |
| ∞ | \infty | none | Infinity |
| ∂ | \partial | none | Partial derivative |
| ∇ | \nabla | none | Nabla, gradient |
| ⊕ | \oplus | none | Direct sum, XOR |
| ⊗ | \otimes | none | Tensor product |
\documentclass{article}
\begin{document}
\[
x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}, \qquad
\nabla f = \left( \frac{\partial f}{\partial x},
\frac{\partial f}{\partial y} \right), \qquad
(f \circ g)(x), \quad 3 \times 4 \div 2 \cdot 5
\]
\end{document}Greek Symbols in Math
Greek symbols in math are written with the letter's English name: \alpha, \beta, \pi. A capitalised name gives the uppercase letter (\Delta, \Omega), but only where it looks different from a Latin letter; capital alpha is just A. The \var... commands are alternative shapes, and \varkappa is the only one that needs amssymb. All 24 letters are below; see the Greek letter symbols reference, the Greek alphabet page and Greek letters in LaTeX for bold and upright Greek.
| Symbol | Command | Package | Meaning |
|---|---|---|---|
| α | Alpha: \alpha, capital A | none | Angles, significance level |
| β | Beta: \beta, capital B | none | Angles, regression coefficients |
| γ Γ | Gamma: \gamma, \Gamma | none | Gamma function, Lorentz factor |
| δ Δ | Delta: \delta, \Delta | none | Change, small quantity, Laplacian |
| ϵ ε | Epsilon: \epsilon, capital E, \varepsilon | none | Small positive number, permittivity |
| ζ | Zeta: \zeta, capital Z | none | Riemann zeta function, damping ratio |
| η | Eta: \eta, capital H | none | Efficiency, learning rate |
| θ Θ ϑ | Theta: \theta, \Theta, \vartheta | none | Angles, parameters, Big-Theta |
| ι | Iota: \iota, capital I | none | Inclusion map, index |
| κ ϰ | Kappa: \kappa, capital K, \varkappa | amssymb (variant) | Curvature, condition number |
| λ Λ | Lambda: \lambda, \Lambda | none | Eigenvalue, wavelength |
| μ | Mu: \mu, capital M | none | Mean, micro, friction coefficient |
| ν | Nu: \nu, capital N | none | Frequency, degrees of freedom |
| ξ Ξ | Xi: \xi, \Xi | none | Random variable, damping |
| o | Omicron: o, capital O | none | Rarely used (looks like o) |
| π Π ϖ | Pi: \pi, \Pi, \varpi | none | π ≈ 3.14159, product (Π) |
| ρ ϱ | Rho: \rho, capital P, \varrho | none | Density, correlation |
| σ Σ ς | Sigma: \sigma, \Sigma, \varsigma | none | Standard deviation, covariance matrix (Σ) |
| τ | Tau: \tau, capital T | none | Time constant, torque |
| υ Υ | Upsilon: \upsilon, \Upsilon | none | Rare; particle physics |
| ϕ Φ φ | Phi: \phi, \Phi, \varphi | none | Golden ratio, angle, flux (Φ) |
| χ | Chi: \chi, capital X | none | Chi-squared, characteristic function |
| ψ Ψ | Psi: \psi, \Psi | none | Wave function |
| ω Ω | Omega: \omega, \Omega | none | Angular frequency, ohm (Ω) |
\documentclass{article}
\usepackage{amssymb}
\begin{document}
$\alpha, \beta, \gamma, \Gamma, \delta, \Delta, \epsilon, \varepsilon,
\theta, \vartheta, \kappa, \varkappa, \lambda, \Lambda, \mu, \pi, \Pi,
\sigma, \Sigma, \phi, \varphi, \Phi, \psi, \omega, \Omega$
\[
\Delta E = \hbar \omega, \qquad
\sigma^2 = \frac{1}{N} \sum_{i=1}^{N} (x_i - \mu)^2
\]
\end{document}Relation Symbols
Relations compare two expressions, and LaTeX spaces them more widely than operators. Spaces you type in math are ignored, so a\leq b and a \leq b look the same. The LaTeX approximately symbol is \approx (≈); it is also what people mean by the “about” symbol, and the approximately equal guide compares it with \sim, \simeq and \cong. Negate any relation with \not (\not\approx) or use a dedicated command such as \neq. More in the relation symbols reference.
| Symbol | Command | Package | Meaning |
|---|---|---|---|
| = | = | none | Equal to |
| ≠ | \neq | none | Not equal to (also \ne) |
| ≈ | \approx | none | Approximately equal to |
| ≡ | \equiv | none | Identical to, congruent modulo n |
| < | < | none | Less than |
| > | > | none | Greater than |
| ≤ | \leq | none | Less than or equal to (also \le) |
| ≥ | \geq | none | Greater than or equal to (also \ge) |
| ≪ | \ll | none | Much less than |
| ≫ | \gg | none | Much greater than |
| ∝ | \propto | none | Proportional to |
| ∼ | \sim | none | Similar to, same order, distributed as |
| ≃ | \simeq | none | Asymptotically equal, homotopy equivalent |
| ≅ | \cong | none | Congruent, isomorphic |
| ≍ | \asymp | none | Asymptotic, same growth rate |
| ≐ | \doteq | none | Approaches the limit, defined as |
| ≜ | \triangleq | amssymb | Defined as |
| ≔ | \coloneqq | mathtools | Assignment, defined as |
| ⊥ | \perp | none | Perpendicular, orthogonal |
| ∥ | \parallel | none | Parallel |
\documentclass{article}
\usepackage{amssymb}
\usepackage{mathtools}
\begin{document}
$\pi \approx 3.14159$, \quad $x \neq 0$, \quad $a \leq b < c$, \quad
$17 \equiv 2 \pmod{5}$, \quad $F \propto \frac{1}{r^2}$, \quad
$X \sim \mathcal{N}(0, 1)$, \quad $\triangle ABC \cong \triangle DEF$, \quad
$f(n) \coloneqq n^2$, \quad $u \perp v$, \quad $x \not\approx y$
\end{document}Stop hunting for symbol commands
Describe the symbol or paste a screenshot of the equation, and Octree's AI writes the LaTeX, adds the right packages and compiles the PDF next to your code.
Try Octree Free →Logic and Set Symbols
The LaTeX and symbol is \land (or \wedge), which prints the logical AND ∧; OR is \lor (\vee) and NOT is \neg (\lnot). For the ampersand character & itself, write \&. The long arrow \implies comes from amsmath (\iff is built in), and \therefore, \nexists, \varnothing and \mathbb from amssymb. Browse the logic symbols and set theory symbols references for the rest, and blackboard bold for ℕ, ℤ, ℚ, ℝ and ℂ.
| Symbol | Command | Package | Meaning |
|---|---|---|---|
| ∧ | \land | none | Logical AND (same as \wedge) |
| ∨ | \lor | none | Logical OR (same as \vee) |
| ¬ | \neg | none | Logical NOT (same as \lnot) |
| ⟹ | \implies | amsmath | Implies (short form: \Rightarrow) |
| ⟺ | \iff | none | If and only if (short form: \Leftrightarrow) |
| ∀ | \forall | none | For all |
| ∃ | \exists | none | There exists |
| ∄ | \nexists | amssymb | There does not exist |
| ∴ | \therefore | amssymb | Therefore |
| ∵ | \because | amssymb | Because |
| ⊢ | \vdash | none | Proves, entails |
| ∈ | \in | none | Element of |
| ∉ | \notin | none | Not an element of |
| ⊂ | \subset | none | Subset (proper subset in many texts) |
| ⊆ | \subseteq | none | Subset or equal |
| ∪ | \cup | none | Union |
| ∩ | \cap | none | Intersection |
| ∖ | \setminus | none | Set difference |
| ∅ | \emptyset | none | Empty set |
| ⌀ | \varnothing | amssymb | Empty set (rounder form) |
| ℝ | \mathbb{R} | amssymb | Real numbers (also ℕ ℤ ℚ ℂ) |
\documentclass{article}
\usepackage{amsmath}
\usepackage{amssymb}
\begin{document}
\[
(p \land q) \lor \neg r, \qquad
p \implies q \iff \neg q \implies \neg p
\]
\[
\forall x \in \mathbb{R} \; \exists n \in \mathbb{N} : n > x, \qquad
A \cap B = \varnothing, \qquad
A \setminus B \subseteq A \cup B
\]
$x \notin \emptyset$, therefore $\therefore$ and because $\because$.
\end{document}Arrows
Arrow names follow a pattern: lowercase \rightarrow is a single arrow, capitalised \Rightarrow is double, and a long prefix makes it longer. \to is a short name for \rightarrow and \gets for \leftarrow. For an arrow with text above it use \xrightarrow{text} from amsmath, which stretches to fit. The arrow symbols reference lists harpoons and every diagonal.
| Symbol | Command | Package | Meaning |
|---|---|---|---|
| → | \to | none | Maps to (a set), tends to; same as \rightarrow |
| ← | \leftarrow | none | Left arrow, assignment (also \gets) |
| ↔ | \leftrightarrow | none | Left-right arrow |
| ⇒ | \Rightarrow | none | Implies (short double arrow) |
| ⇐ | \Leftarrow | none | Is implied by |
| ⇔ | \Leftrightarrow | none | Equivalent (short double arrow) |
| ⟶ | \longrightarrow | none | Long right arrow |
| ⟹ | \Longrightarrow | none | Long double right arrow |
| ⟷ | \longleftrightarrow | none | Long left-right arrow |
| ↦ | \mapsto | none | Maps to (an element) |
| ⟼ | \longmapsto | none | Long maps to |
| ↑ | \uparrow | none | Up arrow, increasing |
| ↓ | \downarrow | none | Down arrow, decreasing |
| ↕ | \updownarrow | none | Up-down arrow |
| ↗ | \nearrow | none | North-east arrow |
| ↘ | \searrow | none | South-east arrow |
| ↪ | \hookrightarrow | none | Injection, embedding |
| ⇌ | \rightleftharpoons | none | Chemical equilibrium |
| →ᶠ | \xrightarrow{f} | amsmath | Arrow that stretches under a label |
\documentclass{article}
\usepackage{amsmath}
\usepackage{amssymb}
\begin{document}
\[
f \colon \mathbb{R} \to \mathbb{R}, \quad x \mapsto x^2, \qquad
\lim_{n \to \infty} a_n, \qquad
A \xrightarrow{\;f\;} B \xrightarrow[\text{onto}]{g} C
\]
\[
\mathrm{N_2 + 3H_2 \rightleftharpoons 2NH_3}, \qquad
x \uparrow \implies y \downarrow, \qquad
P \Longrightarrow Q
\]
\end{document}Brackets and Delimiters
Parentheses and square brackets are typed directly; curly braces must be escaped as \{ \} because bare braces group code. Put \left and \right in front of any delimiter to size it to the content, or use \big to \Bigg for a fixed size. The full treatment is in brackets and parentheses, and every delimiter is in the brackets reference.
| Symbol | Command | Package | Meaning |
|---|---|---|---|
| ( ) | \left( x \right) | none | Parentheses that grow with their content |
| [ ] | \left[ x \right] | none | Square brackets, closed interval |
| { } | \left\{ x \right\} | none | Curly braces, sets (escape with \) |
| ⟨ ⟩ | \langle x \rangle | none | Angle brackets, inner product |
| | | | \left| x \right| | none | Absolute value (or \lvert x \rvert with amsmath) |
| ‖ ‖ | \| x \| | none | Norm (or \lVert x \rVert with amsmath) |
| ⌊ ⌋ | \lfloor x \rfloor | none | Floor |
| ⌈ ⌉ | \lceil x \rceil | none | Ceiling |
| ⟦ ⟧ | \llbracket x \rrbracket | stmaryrd | Double brackets, semantics |
| [ ) | \left[ x \right) | none | Half-open interval |
| x ) | \left. x \right) | none | One-sided delimiter (invisible \left.) |
| ( ) | \Big( x \Big) | none | Manual size: \big, \Big, \bigg, \Bigg |
\documentclass{article}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{stmaryrd}
\begin{document}
\[
\left( \frac{a}{b} \right)^2, \quad
\left\{ x \in \mathbb{Z} : x > 0 \right\}, \quad
\langle u, v \rangle, \quad
\lvert x \rvert, \quad \lVert v \rVert, \quad
\lfloor 2.7 \rfloor = 2, \quad \lceil 2.1 \rceil = 3
\]
\[
[0, 1), \quad \llbracket P \rrbracket, \quad
\left. \frac{df}{dx} \right|_{x=0}, \quad
\Big( (a+b) \Big)
\]
\end{document}Special Characters in Text Mode
Ten characters are reserved by LaTeX: # $ % & _ { } ~ ^ \. The # symbol in LaTeX is \#; likewise \$, \%, \&, \_, \{ and \} print the character. The last three need named commands, because \~ and \^ are accents and \\ is a line break. The special characters guide covers underscores in URLs, the pipe, quotes and currency signs.
| Symbol | Command | Package | Meaning |
|---|---|---|---|
| # | \# | none | Hash, number sign |
| $ | \$ | none | Dollar sign |
| % | \% | none | Percent sign |
| & | \& | none | Ampersand |
| _ | \_ | none | Underscore |
| { } | \{ \} | none | Curly braces |
| ~ | \textasciitilde | none | Tilde (a bare ~ is a non-breaking space) |
| ^ | \textasciicircum | none | Caret |
| \ | \textbackslash | none | Backslash (\\ is a line break) |
| ° | \textdegree | none | Degree sign in text (math: ^\circ) |
| § | \S | none | Section sign |
| ¶ | \P | none | Pilcrow, paragraph sign |
| © | \copyright | none | Copyright |
| † | \dag | none | Dagger in text (math: \dagger) |
| … | \dots | none | Ellipsis |
| — | --- | none | Em dash (-- gives the en dash –) |
\documentclass{article}
\begin{document}
Issue \#42 costs \$5 (a 10\% discount) at Smith \& Sons.
File: my\_file.tex, set \{a, b\}, approx.\ \textasciitilde 3 km,
2\textasciicircum 10, C:\textbackslash Users.
Water boils at 100\textdegree C. See \S 3 and \P 2. \copyright{} 2026.
Footnote mark\dag, ellipsis \dots{} and an em dash---like this.
\end{document}Sum, Integral and Big Operators
The LaTeX sum symbol is \sum. Add limits with a subscript and a superscript: \sum_{i=1}^{n} a_i. In display math the limits sit above and below the ∑; inline they go to the side so the line spacing is not disturbed. Force the display style inline with \limits or \displaystyle. The same rules apply to \prod, \bigcup and the other big operators, while integrals put their limits to the side by default. See integrals, sums and limits for multi-line limits and spacing, and the sums and big operators reference and calculus symbols for more.
| Symbol | Command | Package | Meaning |
|---|---|---|---|
| ∑ | \sum | none | Sum (summation, sigma notation) |
| ∑ᵢ₌₁ⁿ | \sum_{i=1}^{n} | none | Sum with lower and upper limits |
| ∑ₙ₌₀^∞ | \sum_{n=0}^{\infty} | none | Infinite series |
| ∑∑ | \sum_{i=1}^{m} \sum_{j=1}^{n} | none | Double sum |
| ∏ | \prod | none | Product |
| ∐ | \coprod | none | Coproduct |
| ∫ | \int | none | Integral |
| ∫ₐᵇ | \int_{a}^{b} | none | Definite integral |
| ∬ | \iint | amsmath | Double integral |
| ∭ | \iiint | amsmath | Triple integral |
| ∮ | \oint | none | Contour (closed line) integral |
| lim | \lim_{x \to \infty} | none | Limit |
| ⋃ | \bigcup | none | Union of a family of sets |
| ⋂ | \bigcap | none | Intersection of a family of sets |
| ⨁ | \bigoplus | none | Direct sum of a family |
| ⨂ | \bigotimes | none | Tensor product of a family |
| ⋀ | \bigwedge | none | Big AND, exterior product |
| ⋁ | \bigvee | none | Big OR |
\documentclass{article}
\usepackage{amsmath}
\begin{document}
Inline: $\sum_{i=1}^{n} i = \frac{n(n+1)}{2}$, forced: $\sum\limits_{i=1}^{n} i$.
Display:
\[
\sum_{i=1}^{n} i^2 = \frac{n(n+1)(2n+1)}{6}, \qquad
\sum_{\substack{0 \le i \le m \\ 0 < j < n}} P(i, j), \qquad
\prod_{k=1}^{n} k = n!
\]
\[
\int_{0}^{1} x^2 \, dx = \frac{1}{3}, \qquad
\iint_{D} f \, dA, \qquad
\oint_{C} \mathbf{F} \cdot d\mathbf{r}, \qquad
\lim_{x \to \infty} \frac{1}{x} = 0, \qquad
\bigcup_{i=1}^{\infty} A_i
\]
\end{document}Common Errors
| Error | Cause | Fix |
|---|---|---|
Undefined control sequence on \mathbb, \therefore, \varnothing, \nexists or \lesssim | The symbol is in the AMS fonts, and amssymb is not loaded | \usepackage{amssymb} in the preamble |
Undefined control sequence on \implies, \iint, \iiint or \xrightarrow | These come from amsmath | \usepackage{amsmath} |
| Missing $ inserted | A math command (\alpha, \leq, \infty) or a bare _ / ^ in ordinary text | Wrap the math in $...$; in text write \_ or \textasciicircum |
Degree sign prints as a raised circle in the wrong font, or Undefined control sequence on \degree | Mixing up text and math: \degree is from gensymb, ^\circ is math only | In text use \textdegree (25\textdegree C); in math use $25^\circ$; or \SI{25}{\degreeCelsius} with siunitx |
| You can't use `macro parameter character #' in horizontal mode | A bare # in text | Write \# |
| Misplaced alignment tab character & | A bare & outside a table or align | Write \& for the ampersand, or \land for logical AND |
| Missing \right. inserted | A \left without a matching \right | Pair every \left with a \right; use \right. for an invisible one |
The degree sign is the one people trip over most often. Both of these work:
\documentclass{article}
\begin{document}
Text mode: the oven is at 180\textdegree C.
Math mode: an angle of $90^\circ$ and $\theta = 45^{\circ}$.
\end{document}Frequently Asked Questions
How do I write symbols in LaTeX?
Most LaTeX symbols are commands that start with a backslash and only work in math mode: write $\alpha$, $\leq$ or $\infty$ inside dollar signs in a sentence, or inside \[ ... \] on a line of their own. Many extra symbols (\mathbb{R}, \therefore, \varnothing) need \usepackage{amssymb}. To find the command for a symbol you can see but not name, search the Octree symbols reference or draw it in Detexify.
Which package do I need for math symbols in LaTeX?
The basic operators, relations, arrows and Greek letters are built into LaTeX. Load \usepackage{amssymb} for the AMS symbol fonts (\mathbb, \therefore, \nexists, \varnothing, \lesssim) and \usepackage{amsmath} for \implies, \iint, \text and \xrightarrow (\iff is built in). Loading both in every document that has math is the usual habit.
What is the LaTeX approximately symbol?
The LaTeX approximately symbol is \approx, which prints ≈ in math mode: $\pi \approx 3.14$. It needs no package. Related commands are \sim (∼, same order of magnitude), \simeq (≃, asymptotically equal) and \cong (≅, congruent or isomorphic).
How do I type the # symbol in LaTeX?
The # symbol in LaTeX is \#. A bare # is reserved for macro arguments (#1, #2), so typing it in text gives the error “You can’t use macro parameter character # in horizontal mode”. \# works in both text and math mode, and in a URL inside \url{...} you can type # directly.
What is the LaTeX and symbol?
For logical AND (∧) the LaTeX and symbol is \land, or its synonym \wedge; logical OR (∨) is \lor or \vee, and NOT (¬) is \lnot or \neg. For the ampersand character & in text, write \&, because a bare & separates table columns.
How do I write the sum symbol with limits in LaTeX?
Write \sum_{i=1}^{n} a_i in math mode. In a display (\[ ... \]) the limits go above and below the ∑; inline ($...$) they go to the side to keep the line height small. Force them above and below inline with \sum\limits_{i=1}^{n} or \displaystyle, and to the side in a display with \sum\nolimits.
Next Steps
- Greek Letters in LaTeX – Epsilon vs varepsilon, bold and upright Greek, dots and accents
- Special Characters in LaTeX – Every reserved character, the pipe, quotes and currency
- Approximately Equal (≈) – \approx vs \sim, \simeq and \cong
- Integrals, Sums and Limits – Limits, multiple integrals and spacing
- Brackets and Parentheses – \left, \right and manual sizes
- Subscripts and Superscripts – ^ and _ in math and text
- Math Functions – \sin, \log and \DeclareMathOperator
- Learn LaTeX – The beginner tutorial
Free LaTeX Symbol Tools
- LaTeX Symbols Reference – Search 600+ symbols by name, category or command
- LaTeX Preview – Paste a formula and see it rendered
- Math to LaTeX – Turn an image of an equation into LaTeX
- AI LaTeX Generator – Describe the math and get the code
Related Symbol Articles
Summation Symbol (∑): Meaning, Uses and How to Type It
For All (∀) and There Exists (∃) Symbols: Meaning, Uses and How to Type Them
Partial Derivative Symbol (∂): Meaning, Uses and How to Type It
Nabla Symbol (∇): Meaning, Uses and How to Type It
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