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Math Symbols — Complete Reference List

Complete list of mathematical symbols with names, meanings, and examples. Copy and paste any symbol.

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+×÷=<>±%πeΔ!|x|⌊x⌋⌈x⌉°

Arithmetic

SymbolNameMeaningExampleHTML
+PlusAddition3 + 5 = 8&plus;
MinusSubtraction8 − 3 = 5&minus;
×TimesMultiplication3 × 5 = 15&times;
÷ObelusDivision15 ÷ 3 = 5&divide;
=EqualsEqual to3 + 2 = 5
Not equalNot equal to3 ≠ 5&ne;
<Less thanLess than3 < 5&lt;
>Greater thanGreater than5 > 3&gt;
Less or equalLess than or equal tox ≤ 5&le;
Greater or equalGreater than or equal tox ≥ 5&ge;
±Plus-minusPlus or minus5 ± 2&plusmn;
Minus-plusMinus or plus∓3

Algebra & Calculus

SymbolNameMeaningExampleHTML
Square rootSquare root√9 = 3&radic;
Cube rootCube root∛27 = 3
%PercentPercentage50% = 0.5&percnt;
Per millePer thousand5‰ = 0.005&permil;
πPiPi constant ≈ 3.14159C = 2πr&pi;
eEuler's numberEuler's number ≈ 2.71828e ≈ 2.71828
InfinityInfinitylim x→∞&infin;
SigmaSummation∑(1 to n)&sum;
Capital PiProduct∏(1 to n)&prod;
IntegralIntegral∫f(x)dx&int;
Partial derivativePartial derivative∂f/∂x&part;
NablaGradient / Del∇f&nabla;
ΔDeltaChange / DifferenceΔx = x₁ − x₀&Delta;
!FactorialFactorial5! = 120
|x|Absolute valueAbsolute value|−5| = 5
⌊x⌋FloorFloor function⌊3.7⌋ = 3

Set Theory & Logic

SymbolNameMeaningExampleHTML
⌈x⌉CeilingCeiling function⌈3.2⌉ = 4
Element ofIs element ofx ∈ A&isin;
Not element ofIs not element ofx ∉ A&notin;
SubsetSubset ofA ⊂ B&sub;
SupersetSuperset ofB ⊃ A&sup;
UnionUnionA ∪ B&cup;
IntersectionIntersectionA ∩ B&cap;
Empty setEmpty setA ∩ B = ∅&empty;
For allFor all∀x ∈ ℝ&forall;
There existsThere exists∃x : x > 0&exist;
ThereforeThereforea = b ∴ b = a&there4;
BecauseBecause∵ a = b

Geometry

SymbolNameMeaningExampleHTML
ApproximatelyApproximately equalπ ≈ 3.14&asymp;
ProportionalProportional toy ∝ x&prop;
PerpendicularPerpendicular / Orthogonala ⊥ b&perp;
AngleAngle∠ABC = 90°&ang;
°DegreeDegree360°&deg;
Prime / MinuteArc minute / Derivativef'(x)&prime;
Double primeArc second / Second derivativef''(x)&Prime;