inner product space in English

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{
  "forms": [
    {
      "form": "inner product spaces",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "head": "inner product space"
      },
      "expansion": "inner product space (plural inner product spaces)",
      "name": "en-noun"
    }
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
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          "kind": "other",
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          "parents": [
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            "Sciences",
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            "Fundamental"
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          "source": "w"
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      ],
      "glosses": [
        "A vector space which is additionally equipped with an inner product."
      ],
      "hypernyms": [
        {
          "word": "normed vector space"
        }
      ],
      "hyponyms": [
        {
          "word": "Euclidean space"
        },
        {
          "word": "Hilbert space"
        }
      ],
      "id": "en-inner_product_space-en-noun-YZNO8j0V",
      "links": [
        [
          "mathematics",
          "mathematics"
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        [
          "vector space",
          "vector space"
        ],
        [
          "inner product",
          "inner product"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A vector space which is additionally equipped with an inner product."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "inner product space"
      ]
    }
  ],
  "word": "inner product space"
}

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

{
  "forms": [
    {
      "form": "inner product spaces",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "head": "inner product space"
      },
      "expansion": "inner product space (plural inner product spaces)",
      "name": "en-noun"
    }
  ],
  "hypernyms": [
    {
      "word": "normed vector space"
    }
  ],
  "hyponyms": [
    {
      "word": "Euclidean space"
    },
    {
      "word": "Hilbert space"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
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      "glosses": [
        "A vector space which is additionally equipped with an inner product."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "vector space",
          "vector space"
        ],
        [
          "inner product",
          "inner product"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A vector space which is additionally equipped with an inner product."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "inner product space"
      ]
    }
  ],
  "word": "inner product space"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-11-06 from the enwiktionary dump dated 2024-10-02 using wiktextract (fbeafe8 and 7f03c9b). 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.

"inner product space" meaning in English

Noun

Inflected forms