WOLFRAM LANGUAGE TUTORIAL
Basic Mathematical Operators
Some operators used in basic arithmetic and algebra.
Note that the for ∖[Cross] is distinguished by being drawn slightly smaller than the for ∖[Times].
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
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.
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.
Characters used as bracketing operators.
Interpretations of bracketing operators.
Operators Used to Represent Relations
Operators usually used to represent similarity or equivalence.
The special character
) is an alternative input form for ==
is used both for input and output.
Operators usually used for ordering by magnitude.
Operators used for relations in sets.
Operators usually used for other kinds of orderings.
Relational operators based on vertical bars.
Operators Based on Arrows and Vectors
Operators based on arrows are often used in pure mathematics and elsewhere to represent various kinds of transformations or changes.
is equivalent to ->
Arrow‐like operators with built‐in meanings in the Wolfram Language.
Vectors and related arrows.
All the arrow and vector‐
like operators in the Wolfram Language are infix.