|Category: functors||Component type: concept|
|First argument type||The type of the Binary Function's first argument.|
|Second argument type||The type of the Binary Function's second argument.|
|Result type||The type returned when the Binary Function is called|
|F||A type that is a model of BinaryFunction|
|X||The first argument type of F|
|Y||The second argument type of F|
|Result||The result type of F|
|f||Object of type F|
|x||Object of type X|
|y||Object of type Y|
The range of a Binary Function is the set of all possible value that it may return.
|Name||Expression||Type requirements||Return type|
|Function call||f(x,y)||The ordered pair (x,y) is in f's domain||Calls f with x and y as arguments, and returns a value of type Result ||The return value is in f's range|
 Two different invocations of f may return different results, even if f is called with the same arguments both times. A Binary Function may refer to local state, perform I/O, and so on. The expression f(x,y) is permitted to change f's state.
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