"quasianalytic" meaning in English

See quasianalytic in All languages combined, or Wiktionary

Adjective

Etymology: quasi- + analytic Etymology templates: {{prefix|en|quasi|analytic}} quasi- + analytic Head templates: {{en-adj|-}} quasianalytic (not comparable)
  1. (mathematics) Belonging or relating to a generalization of the class of real analytic functions based upon the fact that, if f is an analytic function on an interval [a,b] ⊂ R, and at some point f and all of its derivatives are zero, then f is identically zero on all of [a,b]. Tags: not-comparable Categories (topical): Mathematics
    Sense id: en-quasianalytic-en-adj-BzG0moHa Categories (other): English entries with incorrect language header, English terms prefixed with quasi- Topics: mathematics, sciences

Download JSON data for quasianalytic meaning in English (1.7kB)

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        "2": "quasi",
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  "etymology_text": "quasi- + analytic",
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      "glosses": [
        "Belonging or relating to a generalization of the class of real analytic functions based upon the fact that, if f is an analytic function on an interval [a,b] ⊂ R, and at some point f and all of its derivatives are zero, then f is identically zero on all of [a,b]."
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        "(mathematics) Belonging or relating to a generalization of the class of real analytic functions based upon the fact that, if f is an analytic function on an interval [a,b] ⊂ R, and at some point f and all of its derivatives are zero, then f is identically zero on all of [a,b]."
      ],
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        "Belonging or relating to a generalization of the class of real analytic functions based upon the fact that, if f is an analytic function on an interval [a,b] ⊂ R, and at some point f and all of its derivatives are zero, then f is identically zero on all of [a,b]."
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      "raw_glosses": [
        "(mathematics) Belonging or relating to a generalization of the class of real analytic functions based upon the fact that, if f is an analytic function on an interval [a,b] ⊂ R, and at some point f and all of its derivatives are zero, then f is identically zero on all of [a,b]."
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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 2024-05-25 from the enwiktionary dump dated 2024-05-02 using wiktextract (bb24e0f and c7ea76d). 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.