symbol browser
Symbol Browser
Search and explore every math primitive component — live rendered with usage snippets.
364 components
Composition
x dx2
ExprInline composition wrapper — groups text, symbols, and components into one node
a
b
c
GridGeneric CSS grid container for div-free tabular/stepwise layouts (long division, step tables)
x
GridCellPlaced cell inside a Grid — position content with col/row and alignment
a
b
GridLineHorizontal or vertical divider line placed inside a Grid (subtraction rules, separators)
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 ×
+
PlusPlus sign +
−
MinusMinus sign −
×
MulMultiplication ×
/
DivDivision slash /
%
ModulusModulus operator % (programming)
÷
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 — count prop controls number of dots (default 3)
⋮
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
Math II (Advanced)
a+bi
Complexa+bi — complex number expression
i
ImagUniti — imaginary unit
e
EulerEe — Euler's number
ℜ
FrakRℜ — real part (fraktur)
ℑ
FrakIℑ — imaginary part (fraktur)
Re
ReRe — real part operator
Im
ImIm — imaginary part operator
𝔽
FF𝔽 — field (number system)
ℙ
PPℙ — prime numbers
gcd
Gcdgcd — greatest common divisor
lcm
Lcmlcm — least common multiple
arg
Argarg — argument of complex number
sgn
Sgnsgn — sign function
ord
Ordord — order of element
ker
Kerker — kernel of a map
Hom
HomHom — homomorphism set
Aut
AutAut — automorphism group
der
Derder — derivation operator
Res
ResRes — residue (complex analysis)
tr
Tracetr — trace of a matrix
≀
WreathProduct≀ — wreath product
℘
Weierstrass℘ — Weierstrass p-function
∫
SmallInt∫ — inline integral (unsized)
∯
SurfaceInt∯ — surface integral
∰
VolumeInt∰ — volume integral
△
Lapl△ — Laplacian operator
e
NaturalLoge — natural log base alias
≅
Cong≅ — congruent
≃
AsympEq≃ — asymptotically equal
≄
NotAsympEq≄ — not asymptotically equal
≝
EqDef≝ — equal by definition
≷
GreaterLess≷ — greater or less than
≼
PrecEq≼ — precedes or equal
≽
SuccEq≽ — succeeds or equal
⋈
Bowtie⋈ — bowtie / natural join
∐
Amalg∐ — coproduct / amalgamation
•
Bullet• — bullet operator
†
Dagger† — dagger / adjoint
‡
DoubleDagger‡ — double dagger
□
Tombstone∎ — end of proof (tombstone)
⊾
RightAngle⊾ — right angle symbol
∟
RightAngleCorner⌐ — right angle corner
null
NullOpnull — null operator placeholder
Geometry 2D (Visual)
FigSceneSVG coordinate plane — wraps all Fig* primitives and provides grid + axes
FigPointLabeled dot at a world coordinate
FigVectorDirected arrow with arrowhead from one world point to another
FigLineStraight line segment between two world points
FigSegmentLine segment with optional midpoint label and tick marks
FigCircleCircle at world center with world-unit radius
FigArcPartial arc — angles in degrees, counter-clockwise
FigAngleArc sweep showing the angle at a vertex between two rays
FigPolygonClosed polygon from world-coordinate vertices
FigLabelArbitrary text at a world coordinate
FigVisibleLineContinuous thick line — visible outer edges
FigHiddenLineDashed medium line — hidden / obscured features
FigCenterLineAlternating long/short dashes — symmetry axes
FigPhantomLineOne long, two short dashes — phantom / moving parts
FigDimensionLineThin line with double arrowheads — dimension measurement
FigExtensionLineVery thin boundary line alongside dimension lines
FigLeaderLineThin pointer line with arrowhead and note
FigCuttingPlaneHeavy dashed line — section cut path
FigBreakLineWavy line — shortened view break
FigSectionHatchDiagonal hatching over a rectangular region — cross-section
FigEllipseEllipse with separate x/y radii
FigSemicircleHalf circle — top / bottom / left / right
FigOvalEgg-shaped oval with adjustable asymmetry
FigCrescentCrescent — outer circle with inner-circle bite removed
FigLensLens — intersection of two equal overlapping circles
FigLuneLune — region inside outer circle, outside offset inner circle
FigParabolaParabola — vertex form y = a(x−h)² + k
FigHyperbolaHyperbola — both branches, standard form
FigCardioidCardioid — heart-shaped polar curve r = a(1 + cosθ)
FigLimaconLimaçon — polar curve r = a + b·cosθ, shows inner loop when b > a
FigLemniscateLemniscate — figure-eight, r² = a²·cos(2θ)
FigRightAngleMarkerSmall square marker at a 90° corner
FigEquilateralTriangleEquilateral triangle — all sides equal
FigIsoscelesTriangleIsosceles triangle — two equal sides with tick marks
FigScaleneTriangleScalene triangle — all sides different
FigRightTriangleRight triangle — auto right-angle marker, optional side labels
FigRectRectangle — bottom-left corner + width + height
FigSquareSquare — centre + side length
FigRhombusRhombus — centre + half-diagonals
FigParallelogramParallelogram — rectangle with horizontal skew
FigTrapezoidTrapezoid — symmetric, different top and bottom widths
FigKiteKite — two pairs of adjacent equal sides
FigDartDart / chevron — concave arrowhead shape
FigCrossQuadCross-quadrilateral — self-intersecting butterfly shape
FigAntiparallelogramAntiparallelogram — opposite sides cross
FigCyclicQuadCyclic quadrilateral — 4 vertices on a circle
FigTangentialQuadTangential quadrilateral — inscribed circle shown
FigRegularPolygonRegular n-gon — set sides to any number
FigPentagonRegular pentagon — 5 sides
FigHexagonRegular hexagon — 6 sides
FigHeptagonRegular heptagon — 7 sides
FigOctagonRegular octagon — 8 sides
FigNonagonRegular nonagon — 9 sides
FigDecagonRegular decagon — 10 sides
FigHendecagonRegular hendecagon — 11 sides
FigDodecagonRegular dodecagon — 12 sides
FigStarPolygonStar polygon — set points (outer tips) and innerRatio
FigPentagramFive-pointed star (pentagram)
FigHexagramSix-pointed star (Star of David)
FigOctagramEight-pointed star (octagram)
FigKochSnowflakeKoch snowflake fractal — iterations 1–5
FigSierpinskiTriangleSierpiński triangle fractal — iterations 1–6
FigMeasureDouble-headed measurement arrow between two points
FigCirclePiCircle with π annotations — radius, diameter, C = 2πr ≈ 22/7·d
FigContourConcentric contour / level curves
FigFunnelFunnel / trapezoid — wide at top, narrow at bottom
FigCuboidCuboid — isometric 3D box drawn in 2D (3 visible faces)
Electronics & Circuits
ElecWirePlain conductor wire between two world points
ElecResistorAmerican zigzag resistor symbol with optional value label
ElecCapacitorCapacitor — two parallel plates
ElecInductorInductor — series of semicircular coil arcs
ElecFuseFuse — small rectangle across the wire
ElecBatteryBattery — alternating long/short lines, + at x2,y2
ElecVoltageSourceDC voltage source — circle with ± inside
ElecACSourceAC voltage source — circle with ~ inside
ElecCurrentSourceCurrent source — circle with directional arrow inside
ElecSwitchSwitch — open (default) or closed with `closed` prop
ElecDiodeDiode — filled triangle + bar, current flows x1→x2
ElecLEDLED — diode with two emission arrows
ElecLampLamp — circle with X cross inside
ElecVoltmeterVoltmeter — circle with V, connect in parallel
ElecAmmeterAmmeter — circle with A, connect in series
ElecNodeJunction dot — marks a connected node between wires
ElecGroundGround symbol — 3 descending horizontal lines
ElecLabelStandalone text label at a world coordinate inside FigScene