Unary function

 ( Functions And Mappings ) 

In mathematics, a unary function is a function that takes one Arity. 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 $\backslash operatorname\{succ\}$, is a unary operator. Its domain and codomain are the ; its definition is as follows:

$$$$

\begin{align}

 \operatorname{succ} : \quad & \mathbb{N} \rightarrow \mathbb{N} \\
  & n \mapsto (n + 1)
     

\end{align}

In some programming languages such as C, executing this operation is denoted by postfixing to the operand, i.e. the use of is equivalent to executing the assignment $n:=\; \backslash operatorname\{succ\}(n)$.

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 operation
• Iterated binary operation
• Ternary operation
• Unary operation

---

Bibliography

• Foundations of Genetic Programming

Post Comment