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In mathematics, a Boolean function is a function whose arguments and result assume values from a two-element set (usually {true, false}, {0,1} or {-1,1}). [ 1 ] [ 2 ] Alternative names are switching function , used especially in older computer science literature, [ 3 ] [ 4 ] and truth function (or logical function) , used in logic .
A Boolean-valued function (sometimes called a predicate or a proposition) is a function of the type f : X → B, where X is an arbitrary set and where B is a Boolean domain, i.e. a generic two-element set, (for example B = {0, 1}), whose elements are interpreted as logical values, for example, 0 = false and 1 = true, i.e., a single bit of information.
Similarly the type checking functions return a Boolean recording whether the argument expression is of a particular type. In Transact-SQL, the functions return zero or one rather than Boolean values True and False. IsArray(name) This function determines whether the variable name passed as its argument is an array.
In computer science, a Boolean expression (also known as logical expression) is an expression used in programming languages that produces a Boolean value when evaluated. A Boolean value is either true or false. A Boolean expression may be composed of a combination of the Boolean constants True/False or Yes/No, Boolean-typed variables, Boolean ...
In programming languages with a built-in Boolean data type, such as Pascal, C, Python or Java, the comparison operators such as > and ≠ are usually defined to return a Boolean value. Conditional and iterative commands may be defined to test Boolean-valued expressions.
A function returning a Boolean, which is then applied to two parameters, returns either the first or the second parameter: p r e d i c a t e - x t h e n - c l a u s e e l s e - c l a u s e {\displaystyle \operatorname {predicate-} x\ \operatorname {then-clause} \ \operatorname {else-clause} }
Boolean operation or Boolean operator may refer to: Boolean function, a function whose arguments and result assume values from a two-element set Boolean operation (Boolean algebra), a logical operation in Boolean algebra (AND, OR and NOT) Boolean operator (computer programming), part of a Boolean expression in a computer programming language
Function objects that return Boolean values are an important special case. A unary function whose return type is bool is called a predicate, and a binary function whose return type is bool is called a binary predicate.