homogeneous function

English

Noun

homogeneous function (plural homogeneous functions)

1. (mathematics) homogeneous polynomial
2. (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.

   $\frac{x^3+x{y}^2+x^{2}y+y^3}{z^3}$

3. (mathematics) a function f(x) which has the property that for any c, $f(cx)=cf(x)$.

Translations

homogeneous function

• Asturian: función homoxénea f
• Catalan: funció homogènia f
• French: fonction homogène f
• Galician: función homoxénea f
• Italian: funzione omogenea f
• Portuguese: função homogênea f (Brazil), função homogénea f (Portugal)
• Spanish: función homogénea f