"Brouwer fixed-point theorem" meaning in English

See Brouwer fixed-point theorem in All languages combined, or Wiktionary

Proper name

Forms: the Brouwer fixed-point theorem [canonical]
Etymology: Named after L. E. J. Brouwer (1881–1966), Dutch mathematician and philosopher. Head templates: {{en-proper noun|def=1}} the Brouwer fixed-point theorem
  1. (topology) A theorem which (in one of its simplest forms) states that a continuous function from an n-dimensional unit cube (in ℝⁿ) to itself has a fixed point. Wikipedia link: Brouwer fixed-point theorem, L. E. J. Brouwer Categories (topical): Topology
    Sense id: en-Brouwer_fixed-point_theorem-en-name-urCngUhk Categories (other): English entries with incorrect language header, English entries with language name categories using raw markup, English terms with non-redundant non-automated sortkeys Topics: mathematics, sciences, topology

Alternative forms

Download JSON data for Brouwer fixed-point theorem meaning in English (1.7kB)

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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.