"upper semi-continuous" meaning in All languages combined

See upper semi-continuous on Wiktionary

Adjective [English]

Forms: upper semicontinuous [alternative]
Head templates: {{en-adj|-}} upper semi-continuous (not comparable)
  1. (of a real-valued function on a topological space) Such that, for each fixed number, the subspace of points whose images are at least that number is closed. Tags: not-comparable Related terms: lower semi-continuous
    Sense id: en-upper_semi-continuous-en-adj-B6Td8m9X
  2. (of a real-valued function on a topological space) Such that for each fixed point x there is some neighborhood whose image's limit superior is x's image. Tags: not-comparable Translations (Translations): unterhalbstetig (German)
    Sense id: en-upper_semi-continuous-en-adj-QvRUJ99k Categories (other): English entries with incorrect language header, Entries with translation boxes, Pages with 1 entry, Pages with entries, Terms with German translations, Mathematical analysis Disambiguation of English entries with incorrect language header: 23 77 Disambiguation of Entries with translation boxes: 24 76 Disambiguation of Pages with 1 entry: 23 77 Disambiguation of Pages with entries: 21 79 Disambiguation of Terms with German translations: 25 75 Disambiguation of Mathematical analysis: 20 80 Disambiguation of 'Translations': 6 94

Alternative forms

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        "(of a real-valued function on a topological space) Such that, for each fixed number, the subspace of points whose images are at least that number is closed."
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      "word": "unterhalbstetig"
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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 2025-05-29 from the enwiktionary dump dated 2025-05-20 using wiktextract (e937b02 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.

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