"real vector space" meaning in All languages combined

See real vector space on Wiktionary

Noun [English]

Forms: real vector spaces [plural]
Head templates: {{en-noun|head=real vector space}} real vector space (plural real vector spaces)
  1. (linear algebra, mathematical analysis) A vector space over the field of real numbers. Categories (topical): Linear algebra, Mathematical analysis Hypernyms: vector space Hyponyms: Euclidean space

Inflected forms

{
  "forms": [
    {
      "form": "real vector spaces",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "head": "real vector space"
      },
      "expansion": "real vector space (plural real vector spaces)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Linear algebra",
          "orig": "en:Linear algebra",
          "parents": [
            "Algebra",
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematical analysis",
          "orig": "en:Mathematical analysis",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "A vector space over the field of real numbers."
      ],
      "hypernyms": [
        {
          "word": "vector space"
        }
      ],
      "hyponyms": [
        {
          "word": "Euclidean space"
        }
      ],
      "id": "en-real_vector_space-en-noun-nf~dcfZA",
      "links": [
        [
          "linear algebra",
          "linear algebra"
        ],
        [
          "mathematical analysis",
          "mathematical analysis"
        ],
        [
          "vector space",
          "vector space"
        ],
        [
          "field",
          "field"
        ],
        [
          "real number",
          "real number"
        ]
      ],
      "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"
}
{
  "forms": [
    {
      "form": "real vector spaces",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "head": "real vector space"
      },
      "expansion": "real vector space (plural real vector spaces)",
      "name": "en-noun"
    }
  ],
  "hypernyms": [
    {
      "word": "vector space"
    }
  ],
  "hyponyms": [
    {
      "word": "Euclidean space"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "Pages with 1 entry",
        "Pages with entries",
        "en:Linear algebra",
        "en:Mathematical analysis"
      ],
      "glosses": [
        "A vector space over the field of real numbers."
      ],
      "links": [
        [
          "linear algebra",
          "linear algebra"
        ],
        [
          "mathematical analysis",
          "mathematical analysis"
        ],
        [
          "vector space",
          "vector space"
        ],
        [
          "field",
          "field"
        ],
        [
          "real number",
          "real number"
        ]
      ],
      "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"
}

Download raw JSONL data for real vector space meaning in All languages combined (1.0kB)


This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-12-08 from the enwiktionary dump dated 2024-12-04 using wiktextract (bb46d54 and 0c3c9f6). 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.