"characteristic function" meaning in English

See characteristic function in All languages combined, or Wiktionary

Noun

Forms: characteristic functions [plural]
Head templates: {{en-noun}} characteristic function (plural characteristic functions)
  1. (mathematical analysis) A function which is equal to 1 for all points in its domain which belong to a given set, and is equal to 0 for all points in the domain which do not belong to that given set. Categories (topical): Mathematical analysis Synonyms (function equal to 1 on elements of a given set): indicator function Hypernyms: function Hyponyms: point characteristic function Related terms: subset classifier
    Sense id: en-characteristic_function-en-noun-yfEAqGH9 Categories (other): Pages with 1 entry Disambiguation of Pages with 1 entry: 46 54 Topics: mathematical-analysis, mathematics, sciences Disambiguation of 'function equal to 1 on elements of a given set': 93 7
  2. (mathematics, probability theory) A complex function completely defining the probability distribution of a real-valued random variable Categories (topical): Functions, Mathematics, Probability theory Translations (a complex function completely defining a probability distribution): karakteristinen funktio (Finnish)
    Sense id: en-characteristic_function-en-noun-iQUueA1M Categories (other): English entries with incorrect language header, Entries with translation boxes, Pages with 1 entry, Pages with entries, Terms with Finnish translations Disambiguation of English entries with incorrect language header: 42 58 Disambiguation of Entries with translation boxes: 41 59 Disambiguation of Pages with 1 entry: 46 54 Disambiguation of Pages with entries: 43 57 Disambiguation of Terms with Finnish translations: 42 58 Topics: mathematics, probability-theory, sciences Disambiguation of 'a complex function completely defining a probability distribution': 12 88

Inflected forms

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This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-11-06 from the enwiktionary dump dated 2024-10-02 using wiktextract (fbeafe8 and 7f03c9b). 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.