In mathematics, a functional square root is a square root of a function with respect to the operation of function composition. Mathematics is the body of Knowledge and Academic discipline that studies such concepts as Quantity, Structure, Space and In Mathematics, a square root of a number x is a number r such that r 2 = x, or in words a number r whose The Mathematical concept of a function expresses dependence between two quantities one of which is given (the independent variable, argument of the function In Mathematics, a composite function represents the application of one function to the results of another In other words, the functional square root of a function g is a function f satisfying f(f(x)) = g(x) for all x. For example, f(x) = 2x2 is a functional square root of g(x) = 8x4.
The functional square root of the exponential function was studied by Hellmuth Kneser in 1950. The exponential function is a function in Mathematics. The application of this function to a value x is written as exp( x) Hellmuth Kneser ( April 16, 1898 - August 23, 1973) was a German Mathematician, who made notable contributions to Group