Mathematical Operators
NCR 
Entity 
Description 


∀  ∀  ∀  For all 
∂  ∂  ∂  Partial differential 
∃  ∃  ∃  There exists 
∅  ∅  ∅  Empty set, null set, diameter 
∇  ∇  ∇  Nabla, backward difference 
∈  ∈  ∈  Element of 
∉  ∉  ∉  Not an element of 
∋  ∋  ∋  Contains as a member 
∏  ∏  ∏  Nary product, product sign 
∑  ∑  ∑  Nary summation 
−  −  −  Minus sign 
*  ∗  ∗  Asterisk operator 
√  √  √  Square root, radical sign 
∝  ∝  ∝  Proportional 
∞  ∞  ∞  Infinity symbol 
∠  ∠  ∠  Angle 
∧  ∧  ∧  Logical and, wedge 
∨  ∨  ∨  Logical or, vee 
∩  ∩  ∩  Intersection, cap 
∪  ∪  ∪  Union, cup 
∫  ∫  ∫  Integral 
∴  ∴  ∴  Therefore 
~  ∼  ∼  Tilde operator, varies with, similar to 
≅  ≅  ≅  Approximately equal to 
≈  ≈  ≈  Almost equal to, asymptotic to 
≠  ≠  ≠  Not equal to 
≡  ≡  ≡  Identical to 
≤  ≤  ≤  Less than or equal to 
≥  ≥  ≥  Greater than or equal to 
⊂  ⊂  ⊂  Subset of 
⊃  ⊃  ⊃  Superset of 
⊄  ⊄  ⊄  Not a subset of 
⊆  ⊆  &sube  Subset of or equal to 
⊇  ⊇  &supe  Superset of or equal to 
⊕  ⊕  ⊕  Circled plus, direct sum 
⊗  ⊗  ⊗  Circled times, vector product 
⊥  ⊥  ⊥  Up tack, orthogonal to, perpendicular 
⋅  ⋅  ⋅  Dot operator 