Mathematical Symbols

Logic

Symbol Meaning Name
∧ Logical AND Conjunction
∨ Logical OR Disjunction
¬ Logical NOT Negation
⇒ Implies Implication / Conditional
⇔ If and only if (iff) Biconditional
∀ For all Universal quantifier
∃ There exists Existential quantifier
∃! There exists exactly one Uniqueness quantifier
⊥ Contradiction / False Bottom
⊤ True Top
⊆ Subset Subset
⊂ Proper subset Proper subset
⊇ Superset Superset
⊃ Proper superset Proper superset
∅ Empty set Empty set
∈ Element of Membership
∉ Not an element of Non-membership
≠ Not equal to Inequality
∴ Therefore Therefore
∵ Because Because

Set Theory

Symbol Meaning Name
∅ Empty set Empty set
∈ Element of Membership
∉ Not an element of Non-membership
⊆ Subset Subset
⊄ Not a subset Non-subset
⊂ Proper subset Proper subset
⊃ Proper superset Proper superset
⊇ Superset Superset
∪ Union Union
∩ Intersection Intersection
⋂ Big Union Union of sets
⋃ Big Intersection Intersection of sets
∌ Set difference Difference
∑ Summation Sum of elements
× Cartesian product Product
∋ Contains as member Contains
∘ Composite function Composition

Popular

Symbol Meaning Name
+ Addition Plus
− Subtraction Minus
× Multiplication Times
÷ Division Division
= Equality Equals
≠ Inequality Not equal to
< Less than Less than
> Greater than Greater than
≤ Less than or equal to Less than or equal to
≥ Greater than or equal to Greater than or equal to
√ Square root Square root
% Percentage Percent
∑ Summation Sum
π Pi (constant) Pi
∞ Infinity Infinity
∂ Partial derivative Partial
∫ Integral Integral
ℓ Ell (length) Ell
∏ Product notation Product

Superscript and Subscript

Number Superscript Subscript
-10 ⁻¹⁰ ₋₁₀
-9 ⁻⁹ ₋₉
-8 ⁻⁸ ₋₈
-7 ⁻⁷ ₋₇
-6 ⁻⁶ ₋₆
-5 ⁻⁵ ₋₅
-4 ⁻⁴ ₋₄
-3 ⁻³ ₋₃
-2 ⁻² ₋₂
-1 ⁻¹ ₋₁
0 ⁰ ₀
1 ¹ ₁
2 ² ₂
3 ³ ₃
4 ⁴ ₄
5 ⁵ ₅
6 ⁶ ₆
7 ⁷ ₇
8 ⁸ ₈
9 ⁹ ₉
10 ¹⁰ ₁₀

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