bilinear form in English

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{
  "forms": [
    {
      "form": "bilinear forms",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
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      "expansion": "bilinear form (plural bilinear forms)",
      "name": "en-noun"
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  "lang_code": "en",
  "pos": "noun",
  "senses": [
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      ],
      "glosses": [
        "A function of two arguments from the same vector space which maps onto a field of scalars, which acts like a linear form with respect to either one of its arguments when the other one is held constant."
      ],
      "id": "en-bilinear_form-en-noun-amLIHrjH",
      "links": [
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          "linear algebra",
          "linear algebra"
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          "function",
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        [
          "vector space",
          "vector space"
        ],
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          "field",
          "field"
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        [
          "scalar",
          "scalar"
        ],
        [
          "linear form",
          "linear form"
        ]
      ],
      "raw_glosses": [
        "(linear algebra) A function of two arguments from the same vector space which maps onto a field of scalars, which acts like a linear form with respect to either one of its arguments when the other one is held constant."
      ],
      "synonyms": [
        {
          "word": "two-form"
        }
      ],
      "topics": [
        "linear-algebra",
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "bilinear form"
      ]
    }
  ],
  "word": "bilinear form"
}

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

{
  "forms": [
    {
      "form": "bilinear forms",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "bilinear form (plural bilinear forms)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
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        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
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        "en:Linear algebra"
      ],
      "glosses": [
        "A function of two arguments from the same vector space which maps onto a field of scalars, which acts like a linear form with respect to either one of its arguments when the other one is held constant."
      ],
      "links": [
        [
          "linear algebra",
          "linear algebra"
        ],
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          "function",
          "function"
        ],
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          "argument"
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        [
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        ],
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        [
          "scalar",
          "scalar"
        ],
        [
          "linear form",
          "linear form"
        ]
      ],
      "raw_glosses": [
        "(linear algebra) A function of two arguments from the same vector space which maps onto a field of scalars, which acts like a linear form with respect to either one of its arguments when the other one is held constant."
      ],
      "topics": [
        "linear-algebra",
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "bilinear form"
      ]
    }
  ],
  "synonyms": [
    {
      "word": "two-form"
    }
  ],
  "word": "bilinear form"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-09-22 from the enwiktionary dump dated 2024-09-20 using wiktextract (af5c55c and 66545a6). 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.

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"bilinear form" meaning in English

Noun

Inflected forms