Phrase guide

homogeneous function

noun · 3 senses · updated from the 2026-07-25 local source snapshot

Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.

Sound

Pronunciation

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1

noun

Meaning 1

homogeneous polynomial

Definition source: English Wiktionary via Wiktextract

Topics: mathematics, sciences

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

2

noun

Meaning 2

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.

Definition source: English Wiktionary via Wiktextract

Topics: mathematics, sciences

Examples

  • (x3+xy2+x2y+y3)/(z3)

Meaning relationships

Synonyms: none provided

Antonyms: none provided

3

noun

Meaning 3

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

Definition source: English Wiktionary via Wiktextract

Topics: mathematics, sciences

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

History

Etymology

No etymology was provided for this word.

Across languages

Translations

8 source translations are retained for this English entry.

  • Asturian: función homoxénea — homogeneous function
  • Catalan: funció homogènia — homogeneous function
  • French: fonction homogène — homogeneous function
  • Galician: función homoxénea — homogeneous function
  • Italian: funzione omogenea — homogeneous function
  • Portuguese: função homogênea — homogeneous function
  • Portuguese: função homogénea — homogeneous function
  • Spanish: función homogénea — homogeneous function