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In mathematics, a unary operation is an operation with only one operand, i.e. a single input. [1] This is in contrast to binary operations , which use two operands. [ 2 ] An example is any function f : A → A {\displaystyle f:A\rightarrow A} , where A is a set ; the function f {\displaystyle f} is a unary operation on A .
The successor function, denoted , is a unary operator.Its domain and codomain are the natural numbers; its definition is as follows: : (+) 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 := ().
In languages syntactically derived from B (including C and its various derivatives), the increment operator is written as ++ and the decrement operator is written as --. Several other languages use inc(x) and dec(x) functions. The increment operator increases, and the decrement operator decreases, the value of its operand by 1.
Examples of unary operators in mathematics and in programming include the unary minus and plus, the increment and decrement operators in C-style languages (not in logical languages), and the successor, factorial, reciprocal, floor, ceiling, fractional part, sign, absolute value, square root (the principal square root), complex conjugate (unary ...
In mathematical logic and computer science, the Kleene star (or Kleene operator or Kleene closure) is a unary operation, either on sets of strings or on sets of symbols or characters. In mathematics, it is more commonly known as the free monoid construction.
Unary function, a function that takes one argument; in computer science, a unary operator is a subset of unary function; Unary operation, a kind of mathematical operator that has only one operand; Unary relation, a mathematical relation that has one argument; Unary coding, an entropy encoding that represents a number n with n − 1 ones ...
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Boolean logic allows 2 2 = 4 unary operators; the addition of a third value in ternary logic leads to a total of 3 3 = 27 distinct operators on a single input value. (This may be made clear by considering all possible truth tables for an arbitrary unary operator.