"hemicontinuous" meaning in All languages combined

See hemicontinuous on Wiktionary

Adjective [English]

Etymology: From hemi- + continuous. Etymology templates: {{prefix|en|hemi|continuous}} hemi- + continuous Head templates: {{en-adj|-}} hemicontinuous (not comparable)
  1. (mathematics) Having the property that if a sequence of points in the domain of a function converges to a point L, then either the sequence of sets that are the images of those points contains a sequence that converges to a point that is in the image of L, or, alternatively, for every element in the image of L, you can find a sub-sequence in the domain whose image contains a convergent sequence to that element. Tags: not-comparable Categories (topical): Mathematics Related terms: hemicontinuity
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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 2024-11-06 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.

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