In mathematics, a homogeneous function is a function of several variables such that, if all its arguments are multiplied by a scalar, then its value is multiplied by some power of this scalar, called the degree of homogeneity, or simply the degree; that is, if k is an integer, a function f of n variables is homogeneous of degree k if f = s k f {\displaystyle f=s^{k}f} for every x 1, …, x n, {\displaystyle x_{1},\ldots,x_{n},} and s ≠ 0. Wikipedia