"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- Disambiguation of English entries with incorrect language header: 33 67 Disambiguation of English terms prefixed with co-: 34 66

Inflected forms

Download JSON data for cotype meaning in English (2.8kB)

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  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "co",
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      "expansion": "co- + type",
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    }
  ],
  "etymology_text": "From co- + type.",
  "forms": [
    {
      "form": "cotypes",
      "tags": [
        "plural"
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  "head_templates": [
    {
      "args": {},
      "expansion": "cotype (plural cotypes)",
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Taxonomy",
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            "Evolutionary theory",
            "Sciences",
            "All topics",
            "Fundamental"
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          "source": "w"
        }
      ],
      "glosses": [
        "A syntype or paratype."
      ],
      "id": "en-cotype-en-noun-iCKhNHWS",
      "links": [
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          "taxonomy",
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      "raw_glosses": [
        "(taxonomy, dated) A syntype or paratype."
      ],
      "tags": [
        "dated"
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      "topics": [
        "biology",
        "natural-sciences",
        "taxonomy"
      ]
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    {
      "categories": [
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Functional analysis",
          "orig": "en:Functional analysis",
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          "_dis": "33 67",
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            "Entry maintenance"
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          "source": "w+disamb"
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          "source": "w+disamb"
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          "text": "Coordinate term: type"
        }
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      "glosses": [
        "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=∞ ."
      ],
      "id": "en-cotype-en-noun-oYhoHBxW",
      "links": [
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      "qualifier": "functional analysis",
      "raw_glosses": [
        "(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=∞ ."
      ]
    }
  ],
  "word": "cotype"
}
{
  "categories": [
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    "English entries with incorrect language header",
    "English lemmas",
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    "English terms prefixed with co-"
  ],
  "etymology_templates": [
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  "etymology_text": "From co- + type.",
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    {
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    }
  ],
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    {
      "args": {},
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  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
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        "English dated terms",
        "en:Taxonomy"
      ],
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        "A syntype or paratype."
      ],
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          "syntype",
          "syntype"
        ],
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      ],
      "raw_glosses": [
        "(taxonomy, dated) A syntype or paratype."
      ],
      "tags": [
        "dated"
      ],
      "topics": [
        "biology",
        "natural-sciences",
        "taxonomy"
      ]
    },
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        "en:Functional analysis"
      ],
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        {
          "text": "Coordinate term: type"
        }
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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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      "raw_glosses": [
        "(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=∞ ."
      ]
    }
  ],
  "word": "cotype"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-03 from the enwiktionary dump dated 2024-05-02 using wiktextract (f4fd8c9 and c9440ce). 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.