MATHEMATICA TUTORIAL

Operators

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].

x×y	Times[x,y]	multiplication
x÷y	Divide[x,y]	division
√x	Sqrt[x]	square root
xy	Cross[x,y]	vector cross product
±x	PlusMinus[x]	(no built-in meaning)
x±y	PlusMinus[x,y]	(no built-in meaning)
x	MinusPlus[x]	(no built-in meaning)
xy	MinusPlus[x,y]	(no built-in meaning)

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.

and

are both taken to give the built-in function Implies

gives the built-in function Element

This is interpreted using the built-in functions And and Implies.

In[1]:=

Out[1]=

Mathematica supports most of the standard syntax used in mathematical logic. In Mathematica, 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

In[2]:=

Out[2]//FullForm=

Operators Used to Represent Actions

Operators typically used to represent actions. All the operators except \[Square] are infix.

Following Mathematica'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.

In[3]:=