The half iterate of a function f (denoted by f1/2) is any function which satisfies the following:
- f1/2(f1/2(x)) = f(x)
The half iterate is a special case of fractional iteration of functions. The Mathematical concept of a function expresses dependence between two quantities one of which is given (the independent variable, argument of the function For one example of this usage, see the fractional calculus article. Fractional calculus is a branch of Mathematical analysis that studies the possibility of taking Real number powers of the Differential operator