Interpretation of some operators in basic arithmetic and algebra.
Operators in Calculus and Algebra
Operators used in calculus.
Operators for complex numbers and matrices.
Logical and Other Connectives
Operators used as logical connectives.
The operators , , and are interpreted as corresponding to the built‐in functions And, Or, and Not, and are equivalent to the keyboard operators &&, ||, and !. The operators , , and correspond to the built‐in functions Xor, Nand, and Nor. Note that is a prefix operator.
xy and x⥰y are both taken to give the built‐in function Implies[x,y]. x∈y gives the built‐in function Element[x,y].
This is interpreted using the built‐in functions And and Implies.
The Wolfram Language supports most of the standard syntax used in mathematical logic. In the Wolfram Language, however, the variables that appear in the quantifiers , , and must appear as subscripts. If they appeared directly after the quantifier symbols then there could be a conflict with multiplication operations.
and are essentially prefix operators like .
Operators Used to Represent Actions
Operators typically used to represent actions. All the operators except ∖[Square] are infix.
Following the Wolfram Language's usual convention, all the operators in the table are interpreted to give functions whose names are exactly the names of the characters that appear in the operators.
The operators are interpreted as functions with corresponding names.
All the operators in the table above, except for , are infix, so that they must appear in between their operands.