symbol browser
Symbol Browser
Search and explore every math primitive component — live rendered with usage snippets.
228 components
Composition
x dx2
ExprInline composition wrapper — groups text, symbols, and components into one node
Arithmetic
ab
FracVertical fraction a/b
x2
PowSuperscript exponent x²
xn
SubSubscript x_n
√x
SqrtSquare root √x with overbar
|x|
AbsAbsolute value |x|
{x+y}
BraceCurly brace grouping {x+y}
(x+y)
ParenAuto-sized parentheses
∞
InfInfinity ∞
90°
DegDegree symbol 90°
±
PlusMinusPlus-minus ±
∓
MinusPlusMinus-plus ∓
School
×
TimesMultiplication cross ×
÷
DivisionDivision sign ÷
%
PercentPercent sign %
‰
PermillePer mille ‰
∷
ProportionProportion symbol ∷
∶
RatioRatio colon ∶
Calculus
b∫af dx
IntegralDefinite integral ∫ₐᵇ
∮f dz
ContourIntegralContour integral ∮
∬
DoubleIntDouble integral ∬
∭
TripleIntTriple integral ∭
nΣi=0aᵢ
SumSummation Σ with bounds
nΠi=1aᵢ
ProdProduct Π with bounds
limx→0f(x)
LimLimit lim_{x→0}
lim supn→∞aₙ
LimsupLimit superior lim sup
lim infn→∞aₙ
LiminfLimit inferior lim inf
ddy
DerivLeibniz derivative d/dy
∂∂f
PDerivPartial derivative ∂f/∂x
∇
NablaNabla / gradient ∇
∇²
LaplacianLaplace operator ∇²
dx
DifferentialUpright d for differentials
n⏞a+b
OverbraceBrace above with label
a+b⏟n
UnderbraceBrace below with label
Trig & Functions
sin
SinSine function
cos
CosCosine function
tan
TanTangent function
cot
CotCotangent
sec
SecSecant
csc
CscCosecant
arcsin
ArcSinInverse sine
arccos
ArcCosInverse cosine
arctan
ArcTanInverse tangent
sinh
SinhHyperbolic sine
cosh
CoshHyperbolic cosine
tanh
TanhHyperbolic tangent
log
LogLogarithm
ln
LnNatural log ln
exp
ExpExponential exp
Algebra
n!
FactorialFactorial n!
(nk)
ChooseBinomial coefficient C(n,k)
⌊x⌋
FloorFloor ⌊x⌋
⌈x⌉
CeilCeiling ⌈x⌉
amodn
ModModulo a mod n
gcd(a, b)
GCDGCD(a, b)
lcm(a, b)
LCMLCM(a, b)
Pnr
PermPermutation P(n,r)
Set Theory
∈
InElement of ∈
∉
NotInNot element of ∉
⊂
SubsetSubset ⊂
⊆
SubsetEqSubset or equal ⊆
⊊
ProperSubsetProper subset ⊊
∪
UnionSet union ∪
∩
IntersectSet intersection ∩
∖
SetMinusSet minus ∖
∅
EmptyEmpty set ∅
ℕ
NNNatural numbers ℕ
ℤ
ZZIntegers ℤ
ℚ
QQRationals ℚ
ℝ
RRReals ℝ
ℂ
CCComplex numbers ℂ
n⋃i=1Aᵢ
BigUnionIndexed union ⋃
n⋂i=1Aᵢ
BigIntersectIndexed intersection ⋂
{x|x > 0}
SetOfSet-builder {x | cond}
|A|
CardinalityCardinality |A|
𝒫(A)
PowerSetPower set 𝒫(A)
Logic
∧
AndLogical AND ∧
∨
OrLogical OR ∨
¬
NotLogical NOT ¬
⊕
XorXOR ⊕
⟹
ImpliesImplication ⟹
⟺
IffBiconditional ⟺
∀
ForAllUniversal quantifier ∀
∃
ExistsExistential ∃
∄
NotExistsDoes not exist ∄
∴
ThereforeTherefore ∴
∵
BecauseBecause ∵
⊢
TurnstileProves ⊢
⊨
ModelsModels / entails ⊨
⊤
TopTautology / true ⊤
⊥
BotContradiction / false ⊥
QEDEnd of proof ∎
n⋀i=1Pᵢ
BigAndN-ary AND ⋀
n⋁i=1Pᵢ
BigOrN-ary OR ⋁
xif x≥0−xif x<0
CasesPiecewise / cases function
Linear Algebra
→v
VecVector with arrow
‖v‖
NormNorm ‖v‖
·
DotDot product ·
×
CrossCross product ×
AT
TransposeMatrix transpose Aᵀ
|A|
DetDeterminant |A|
[abcd]
Matrix2×2 matrix with brackets
span(v)
SpanOpSpan of vectors
rank(A)
RankRank of matrix
dim(V)
DimDimension of space
Probability
P(A)
ProbProbability P(A)
P(A|B)
CondProbConditional P(A|B)
𝔼[X]
ExpectedExpected value 𝔼[X]
Var(X)
VarianceVariance Var(X)
SD(X)
StdDevStandard deviation SD(X)
Cov(X, Y)
CovCovariance Cov(X,Y)
∼N(μ,σ)
DistDistribution X ~ N(μ,σ)
Greek
α
Alphaα alpha
β
Betaβ beta
γ
Gammaγ gamma
δ
GDeltaδ delta
ε
Epsilonε epsilon
ζ
Zetaζ zeta
η
Etaη eta
θ
Thetaθ theta
λ
Lambdaλ lambda
μ
Muμ mu
ν
Nuν nu
ξ
Xiξ xi
π
PiSymπ pi
ρ
Rhoρ rho
σ
SigmaSymσ sigma
τ
Tauτ tau
φ
Phiφ phi
χ
Chiχ chi
ψ
Psiψ psi
ω
Omegaω omega
Γ
GammaUΓ Gamma
Δ
DeltaUΔ Delta
Θ
ThetaUΘ Theta
Λ
LambdaUΛ Lambda
Σ
SigmaUΣ Sigma
Φ
PhiUΦ Phi
Ψ
PsiUΨ Psi
Ω
OmegaUΩ Omega
φ
Varphiϕ varphi
ϑ
Varthetaϑ vartheta
Relations
=
EqEquals =
≠
NeqNot equal ≠
≤
LeqLess or equal ≤
≥
GeqGreater or equal ≥
≪
LlMuch less than ≪
≫
GgMuch greater than ≫
≈
ApproxApproximately ≈
≡
EquivEquivalent ≡
∼
SimSimilar ∼
∝
ProptoProportional ∝
≺
PrecPrecedes ≺
≻
SuccSucceeds ≻
∣
DividesDivides ∣
Definition
:=
DefEqDefined as :=
≜
DefinedAsDefined as ≜
≐
ApproachesApproaches ≐
≙
CorrespondsCorresponds to ≙
Accents
x
BarOverline / mean x̄
∧x
HatHat accent x̂
~x
TildeTilde accent x̃
·x
DotAccentSingle dot (Newton) ẋ
··x
DDotDouble dot (Newton) ẍ
f′
PrimeOfPrime notation f′
f′
PrimeInline prime ′
→v
VecVector arrow overhead
Arrows
→
ArrowRight arrow →
←
LeftArrowLeft arrow ←
↔
LeftRightArrowLeft-right ↔
⇒
DoubleRightArrowDouble right ⇒
⇔
DoubleLeftRightArrowDouble both ⇔
⟶
LongRightArrowLong right ⟶
↦
MapsToMaps to ↦
↪
HookRightArrowHook right ↪
⇌
EquilibriumArrowEquilibrium ⇌
Brackets
⟨u, v⟩
AngleBracketAngle brackets ⟨u, v⟩
[0,1]
IntervalInterval [0, 1]
⟦P⟧
DoubleBracketIverson bracket ⟦P⟧
⟨ψ|φ⟩
BraKetDirac ⟨ψ|φ⟩
Geometry
∠ABC
AngleAngle ∠ABC
∡
MeasuredAngleMeasured angle ∡
△ABC
TriangleTriangle △ABC
⊿
RightTriangleRight triangle ⊿
AB
SegmentLine segment AB̄
→AB
RayRay AB→
⌢AB
ArcArc ⌢ over AB
∥
ParallelParallel ∥
⊥
PerpendicularPerpendicular ⊥
⌀
DiameterDiameter symbol ⌀
≅
GeoCongCongruent ≅
∼
GeoSimSimilar ∼
Physics
ℏ
HBarReduced Planck ℏ
⟨ψ|
BraBra ⟨ψ|
|φ⟩
KetKet |φ⟩
Chemistry
⟶
ReactionArrowReaction ⟶
⇌
ChemEquilibriumEquilibrium ⇌
↑
GasMarkerGas evolves ↑
↓
PrecipitateMarkerPrecipitate ↓
C—H
SingleBondSingle bond —
C═O
DoubleBondDouble bond ═
N≡N
TripleBondTriple bond ≡
Script
ℒ
ScriptLℒ — Laplace transform
ℱ
ScriptFℱ — Fourier transform
𝒪
ScriptO𝒪 — complexity notation
ℋ
ScriptHℋ — Hilbert space
ℓ
ScriptEllℓ — ell-p spaces
𝒜
ScriptA𝒜 — script A
ℰ
ScriptEℰ — Euler / energy
Operators
⊕
DirectSumDirect sum ⊕
⊗
OTimesTensor product ⊗
∗
ConvoConvolution ∗
∘
ComposeComposition ∘
⊙
HadamardHadamard product ⊙
ℵ
AlephAleph ℵ (cardinality)
Dots
⋯
CDotsCentered dots ⋯
⋮
VDotsVertical dots ⋮
⋱
DDotsDiagonal dots ⋱
…
LDotsBaseline ellipsis …
CS / Algorithms
O(n)
BigOBig-O upper bound O(n)
Θ(n)
BigThetaBig-Theta tight bound Θ(n)
Ω(n)
BigOmegaBig-Omega lower bound Ω(n)
𝑜(n)
LittleOlittle-o strict upper o(n)
ω(n)
LittleOmegalittle-omega strict lower ω(n)
Shorthands
x2
Squaredx² square shorthand
x3
Cubedx³ cube shorthand
A−1
InverseA⁻¹ inverse shorthand
x0
SubZerox₀ subscript zero