"homogeneous function" meaning in All languages combined

See homogeneous function on Wiktionary

Noun [English]

Forms: homogeneous functions [plural]
Head templates: {{en-noun}} homogeneous function (plural homogeneous functions)
  1. (mathematics) homogeneous polynomial
    Sense id: en-homogeneous_function-en-noun-zcIJdn0U Categories (other): Mathematics, English entries with incorrect language header, Pages with 1 entry, Pages with entries Disambiguation of English entries with incorrect language header: 61 34 5 Disambiguation of Pages with 1 entry: 62 35 3 Disambiguation of Pages with entries: 60 34 6 Topics: mathematics, sciences
  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.
    Sense id: en-homogeneous_function-en-noun-cMwfxDF- Categories (other): Functions, Mathematics Topics: mathematics, sciences
  3. (mathematics) a function f(x) which has the property that for any c, f(cx)=cf(x).
    Sense id: en-homogeneous_function-en-noun-gUVjJUUz Categories (other): Mathematics Topics: mathematics, sciences

Inflected forms

Alternative forms

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This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2025-06-05 from the enwiktionary dump dated 2025-06-01 using wiktextract (5ee713e and f1c2b61). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.

If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.