LaTeX math and science symbols

Every symbol below is a LaTeX math-mode command — write it between $…$ or inside a display equation, e.g. $\alpha \leq \beta$ renders α ≤ β. Core LaTeX covers Greek letters, relations, and set notation out of the box; load amssymb for a wider set.

Greek letters

LaTeX lowercase Greek letters
SymbolCodeName
α\alphaalpha
β\betabeta
γ\gammagamma
δ\deltadelta
ϵ\epsilonepsilon
ε\varepsilonepsilon (variant)
ζ\zetazeta
η\etaeta
θ\thetatheta
ϑ\varthetatheta (variant)
ι\iotaiota
κ\kappakappa
λ\lambdalambda
μ\mumu
ν\nunu
ξ\xixi
π\pipi
ϖ\varpipi (variant)
ρ\rhorho
ϱ\varrhorho (variant)
σ\sigmasigma
ς\varsigmasigma (variant)
τ\tautau
υ\upsilonupsilon
ϕ\phiphi
φ\varphiphi (variant)
χ\chichi
ψ\psipsi
ω\omegaomega
LaTeX uppercase Greek letters
SymbolCodeName
Γ\GammaGamma
Δ\DeltaDelta
Θ\ThetaTheta
Λ\LambdaLambda
Ξ\XiXi
Π\PiPi
Σ\SigmaSigma
Υ\UpsilonUpsilon
Φ\PhiPhi
Ψ\PsiPsi
Ω\OmegaOmega

Operators

LaTeX operator symbols
SymbolCodeName
±\pmplus-minus
\mpminus-plus
×\timestimes
÷\divdivide
·\cdotdot product
\astasterisk operator
\opluscircled plus
\otimescircled times
\circcomposition
\sqrt{}square root

Relations

LaTeX relation symbols
SymbolCodeName
\leqless than or equal
\geqgreater than or equal
\neqnot equal
\approxapproximately equal
\equivequivalent / congruent
\simsimilar to
\congcongruent
\simeqasymptotically equal
\proptoproportional to
\llmuch less than
\ggmuch greater than
\precprecedes
\succsucceeds

Arrows, logic & sets

LaTeX arrow, logic and set symbols
SymbolCodeName
\toright arrow
\leftarrowleft arrow
\Rightarrowimplies
\Leftarrowimplied by
\inelement of
\notinnot an element of
\subsetproper subset
\subseteqsubset or equal
\supsetproper superset
\supseteqsuperset or equal
\cupunion
\capintersection
\emptysetempty set
\forallfor all
\existsthere exists
¬\notnegation
\wedgelogical and
\veelogical or
\modelsmodels / satisfies
\iffbiconditional (iff)
\vdashproves / derives
\dashvreverse turnstile
\thereforetherefore
\becausebecause
\toptop / true
\botbottom / false

Calculus & big operators

LaTeX calculus and big-operator symbols
SymbolCodeName
\sumsummation
\prodproduct
\intintegral
\iintdouble integral
\iiinttriple integral
\ointcontour integral
\nablagradient / del
\partialpartial derivative
\inftyinfinity
\bigcupbig union
\bigcapbig intersection
\bigveebig logical or
\bigwedgebig logical and

Derivatives

LaTeX derivative notation
SymbolCodeName
f′f'first derivative (prime)
f″f''second derivative (double prime)
\dot{x}time derivative (Newton's notation)
\ddot{x}second time derivative
\hat{x}hat accent (unit vector / estimator)
dy/dx\frac{dy}{dx}derivative (Leibniz notation)
∂f/∂x\frac{\partial f}{\partial x}partial derivative (Leibniz notation)

Big O notation

LaTeX big-O (asymptotic) notation
SymbolCodeName
𝒪(n)\mathcal{O}(n)big-O (upper bound)
Θ(n)\Theta(n)big-Theta (tight bound)
Ω(n)\Omega(n)big-Omega (lower bound)
o(n)o(n)little-o (strict upper bound)
ω(n)\omega(n)little-omega (strict lower bound)

Miscellaneous

LaTeX miscellaneous symbols
SymbolCodeName
\hbarreduced Planck constant
\alephaleph
\ldotsellipsis (on the baseline)
\cdotsellipsis (centred)
°^\circdegree
\daggerdagger

Writing in Typst instead? See Typst math and science symbols, or go back to equations and math in LaTeX.

In KL studiosyntax errors in a math block surface inline in the diagnostics panel as you type, so a mistyped command is caught at the line it is on rather than buried in a wall of compiler log output.

Common questions

What is the LaTeX symbol for infinity?
\infty, which renders as ∞. It needs no package — it's part of core LaTeX math mode.
How do I type Greek letters in LaTeX?
Lowercase names give the lowercase letter, \alpha → α. Capitalize the name for the uppercase form where it differs from a Latin letter, \Gamma → Γ; \Alpha isn't a command because capital alpha looks identical to a Latin A.
What is the difference between \leq and \le in LaTeX?
None — \le is a shorter alias for \leq. Both give ≤. The same is true of \geq and \ge.
What is the LaTeX command for the empty set symbol?
\emptyset gives ∅. It's a core command needing no package, and is the standard way to write the empty set in a proof or a set-theory definition.
Do I need a package for these LaTeX symbols?
Most listed here — Greek letters, \leq, \sum, \int, \infty, \in, \forall — are core LaTeX. A few extras such as \varkappa or arrow variants live in amssymb, which is worth loading by default in any math-heavy document.