Definify.com

Definition 2024

homogeneous_function

homogeneous function

English

Noun

homogeneous function ‎(plural homogeneous functions)

(mathematics) homogeneous polynomial
(mathematics) the ratio of two homogeneous polynomials, such that the sum of the exponents in a term of the numerator is equal to the sum of the exponents in a term of the denominator.
${\frac {x^{3}+xy^{2}+x^{2}y+y^{3}}{z^{3}}}$
(mathematics) a function f(x) which has the property that for any c, $f(cx)=cf(x)$ .