real vector space in English

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{
  "forms": [
    {
      "form": "real vector spaces",
      "tags": [
        "plural"
      ]
    }
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  "head_templates": [
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  "lang_code": "en",
  "pos": "noun",
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      "glosses": [
        "A vector space over the field of real numbers."
      ],
      "hypernyms": [
        {
          "word": "vector space"
        }
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      "hyponyms": [
        {
          "word": "Euclidean space"
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      "id": "en-real_vector_space-en-noun-nf~dcfZA",
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          "field",
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        [
          "real number",
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      "raw_glosses": [
        "(linear algebra, mathematical analysis) A vector space over the field of real numbers."
      ],
      "topics": [
        "linear-algebra",
        "mathematical-analysis",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "real vector space"
}

[Show JSON for raw wiktextract data ▼] [Hide JSON for raw wiktextract data ▲]

{
  "forms": [
    {
      "form": "real vector spaces",
      "tags": [
        "plural"
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    }
  ],
  "head_templates": [
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      "expansion": "real vector space (plural real vector spaces)",
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    {
      "word": "vector space"
    }
  ],
  "hyponyms": [
    {
      "word": "Euclidean space"
    }
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  "lang_code": "en",
  "pos": "noun",
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      "glosses": [
        "A vector space over the field of real numbers."
      ],
      "links": [
        [
          "linear algebra",
          "linear algebra"
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          "mathematical analysis",
          "mathematical analysis"
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      "raw_glosses": [
        "(linear algebra, mathematical analysis) A vector space over the field of real numbers."
      ],
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        "linear-algebra",
        "mathematical-analysis",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "real vector space"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-01 from the enwiktionary dump dated 2024-04-21 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.

"real vector space" meaning in English

Noun

Inflected forms