homogeneous function

noun

homogeneous polynomial

“(x³+xy²+x²ʸ+y³)/(z³)”

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Meanings

nounhomogeneous function (plural homogeneous functions)

plural homogeneous functions

  1. mathematicshomogeneous polynomial
  2. mathematicsthe 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.

    (x³+xy²+x²ʸ+y³)/(z³)

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

Translations

Catalan funció homogènia
  • funció homogèniahomogeneous function
French fonction homogène
  • fonction homogènehomogeneous function
Italian funzione omogenea
  • funzione omogeneahomogeneous function
Portuguese função homogênea, função homogénea
  • função homogêneahomogeneous function
  • função homogéneahomogeneous function
Spanish función homogénea
  • función homogéneahomogeneous function
Cite this entry
APA

homogeneous function. (n.d.). In WatkinsX Dictionary. Retrieved November 2, 2026, from https://dictionary.watkinsx.com/word/homogeneous%20function

MLA

“homogeneous function.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/homogeneous%20function. Accessed November 2, 2026.

Chicago

WatkinsX Dictionary, s.v. “homogeneous function,” accessed November 2, 2026, https://dictionary.watkinsx.com/word/homogeneous%20function.

Source: homogeneous function on Wiktionary, CC BY-SA 4.0.