"horosphere" meaning in All languages combined

See horosphere on Wiktionary

Noun [English]

Forms: horospheres [plural]
Etymology: A modern scientific coinage, probably from a Latinized spelling of Ancient Greek ὅρος (hóros, “boundary”) (not to be confused with ὧρος (hôros, “year”), which gave rise to many time-related terms) + sphere Etymology templates: {{uder|en|grc|ὅρος||boundary}} Ancient Greek ὅρος (hóros, “boundary”), {{m|grc|ὧρος||year}} ὧρος (hôros, “year”), {{m|en|sphere}} sphere Head templates: {{en-noun}} horosphere (plural horospheres)
  1. An n-1-dimensional hyperplane in hyperbolic n-dimensional space: it is (in the Poincaré disk) Euclidean-tangent at infinity to the boundary sphere or (in the upper-half-space model) Euclidean-parallel to the boundary hyperplane. Categories (topical): Circle, Curves, Surfaces

Inflected forms

Download JSON data for horosphere meaning in All languages combined (2.8kB)

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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 2024-05-16 from the enwiktionary dump dated 2024-05-02 using wiktextract (e268c0e and 304864d). 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.