"transitive closure" meaning in English

See transitive closure in All languages combined, or Wiktionary

Noun

Forms: transitive closures [plural]
Head templates: {{en-noun}} transitive closure (plural transitive closures)
  1. (set theory, order theory, of a binary relation R on a set X) The smallest binary relation on X that includes R and is transitive. Categories (topical): Set theory
    Sense id: en-transitive_closure-en-noun-0c2cFl1i Topics: mathematics, order-theory, sciences, set-theory
  2. (set theory, of a set X) The smallest transitive set that contains X. Categories (topical): Set theory
    Sense id: en-transitive_closure-en-noun-iv4DPLXT Categories (other): English entries with incorrect language header Disambiguation of English entries with incorrect language header: 15 85 Topics: mathematics, sciences, set-theory

Inflected forms

Download JSON data for transitive closure meaning in English (1.8kB)

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        "(set theory, order theory, of a binary relation R on a set X) The smallest binary relation on X that includes R and is transitive."
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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 2024-05-03 from the enwiktionary dump dated 2024-05-02 using wiktextract (f4fd8c9 and c9440ce). 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.