"cotype" meaning in English

See cotype in All languages combined, or Wiktionary

Noun

Forms: cotypes [plural]
Etymology: From co- + type. Etymology templates: {{prefix|en|co|type}} co- + type Head templates: {{en-noun}} cotype (plural cotypes)
  1. (taxonomy, dated) A syntype or paratype. Tags: dated Categories (topical): Taxonomy
    Sense id: en-cotype-en-noun-iCKhNHWS Topics: biology, natural-sciences, taxonomy
  2. (functional analysis) A Banach space (X,‖·‖), such that, given a sequence of independent random variables from a Rademacher distribution, (εᵢ), and a rank q in the range from 2 to infinity, there exists a finite constant C≥1 such that for all finite sequences (x_i)∈X, 𝔼_ε[‖∑ limits ᵢ₌₁ⁿεᵢx_i‖^q]≥1/(C^q)(∑ limits ᵢ₌₁ⁿ‖x_i‖^q), if;2≤q<∞ or 𝔼_ε[‖∑ limits ᵢ₌₁ⁿεᵢx_i‖]≥1/C sup ‖x_i‖, if;q=∞ . Categories (topical): Functional analysis
    Sense id: en-cotype-en-noun-oYhoHBxW Categories (other): English entries with incorrect language header, English terms prefixed with co-, Pages with 1 entry, Pages with entries Disambiguation of English entries with incorrect language header: 33 67 Disambiguation of English terms prefixed with co-: 34 66 Disambiguation of Pages with 1 entry: 28 72 Disambiguation of Pages with entries: 30 70

Inflected forms

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  "etymology_text": "From co- + type.",
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      "form": "cotypes",
      "tags": [
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  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "topical",
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          "name": "Taxonomy",
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        "A syntype or paratype."
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      "raw_glosses": [
        "(taxonomy, dated) A syntype or paratype."
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        "A Banach space (X,‖·‖), such that, given a sequence of independent random variables from a Rademacher distribution, (εᵢ), and a rank q in the range from 2 to infinity, there exists a finite constant C≥1 such that for all finite sequences (x_i)∈X, 𝔼_ε[‖∑ limits ᵢ₌₁ⁿεᵢx_i‖^q]≥1/(C^q)(∑ limits ᵢ₌₁ⁿ‖x_i‖^q), if;2≤q<∞ or 𝔼_ε[‖∑ limits ᵢ₌₁ⁿεᵢx_i‖]≥1/C sup ‖x_i‖, if;q=∞ ."
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        "(functional analysis) A Banach space (X,‖·‖), such that, given a sequence of independent random variables from a Rademacher distribution, (εᵢ), and a rank q in the range from 2 to infinity, there exists a finite constant C≥1 such that for all finite sequences (x_i)∈X, 𝔼_ε[‖∑ limits ᵢ₌₁ⁿεᵢx_i‖^q]≥1/(C^q)(∑ limits ᵢ₌₁ⁿ‖x_i‖^q), if;2≤q<∞ or 𝔼_ε[‖∑ limits ᵢ₌₁ⁿεᵢx_i‖]≥1/C sup ‖x_i‖, if;q=∞ ."
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  "word": "cotype"
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          "syntype",
          "syntype"
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        "(taxonomy, dated) A syntype or paratype."
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        "dated"
      ],
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        "taxonomy"
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Download raw JSONL data for cotype meaning in English (2.3kB)


This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-12-21 from the enwiktionary dump dated 2024-12-04 using wiktextract (d8cb2f3 and 4e554ae). 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.