Unary function

In mathematics, a unary function is a function that takes one argument. A unary operator belongs to a subset of unary functions, in that its codomain coincides with its domain. In contrast, a unary function's domain need not coincide with its range.

Examples

The successor function, denoted [math]\displaystyle{ \operatorname{succ} }[/math], is a unary operator. Its domain and codomain are the natural numbers; its definition is as follows:

[math]\displaystyle{ $$\begin{array}{rl}\mathrm{succ}:& \mathbb{N}\to \mathbb{N}\\ & n\mapsto (n+1)\end{array}$$ }[/math]

In some programming languages such as C, executing this operation is denoted by postfixing ++ to the operand, i.e. the use of n++ is equivalent to executing the assignment [math]\displaystyle{ n:= \operatorname{succ}(n) }[/math].

Many of the elementary functions are unary functions, including the trigonometric functions, logarithm with a specified base, exponentiation to a particular power or base, and hyperbolic functions.

See also

• Arity
• Binary function
• Binary operator
• Ternary operation
• Unary operation

References

• Foundations of Genetic Programming

0.00 (0 votes) Original source: https://en.wikipedia.org/wiki/Unary function. Read more