"linear dependence" meaning in English

See linear dependence in All languages combined, or Wiktionary

Noun

Forms: linear dependences [plural]
Head templates: {{en-noun}} linear dependence (plural linear dependences)
  1. (algebra, uncountable) The state of being linearly dependent Tags: uncountable Categories (topical): Algebra Translations (state of being linearly independent): lineær afhængighed [common-gender] (Danish)
    Sense id: en-linear_dependence-en-noun-r~gAknPC Categories (other): English entries with incorrect language header Disambiguation of English entries with incorrect language header: 88 12 Topics: algebra, mathematics, sciences Disambiguation of 'state of being linearly independent': 95 5
  2. (mathematics, countable) A linear relation between some appropriate things Tags: countable Categories (topical): Mathematics
    Sense id: en-linear_dependence-en-noun-fDxfiW20 Topics: mathematics, sciences

Inflected forms

Download JSON data for linear dependence meaning in English (1.7kB)

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  "pos": "noun",
  "senses": [
    {
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        {
          "kind": "topical",
          "langcode": "en",
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          "orig": "en:Algebra",
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      "glosses": [
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      "id": "en-linear_dependence-en-noun-r~gAknPC",
      "links": [
        [
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        [
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      "raw_glosses": [
        "(algebra, uncountable) The state of being linearly dependent"
      ],
      "tags": [
        "uncountable"
      ],
      "topics": [
        "algebra",
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "_dis1": "95 5",
          "code": "da",
          "lang": "Danish",
          "sense": "state of being linearly independent",
          "tags": [
            "common-gender"
          ],
          "word": "lineær afhængighed"
        }
      ]
    },
    {
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      "glosses": [
        "A linear relation between some appropriate things"
      ],
      "id": "en-linear_dependence-en-noun-fDxfiW20",
      "links": [
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          "mathematics",
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        [
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      "raw_glosses": [
        "(mathematics, countable) A linear relation between some appropriate things"
      ],
      "tags": [
        "countable"
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{
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    "English lemmas",
    "English multiword terms",
    "English nouns"
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  "forms": [
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      "form": "linear dependences",
      "tags": [
        "plural"
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  "head_templates": [
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      "expansion": "linear dependence (plural linear dependences)",
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English uncountable nouns",
        "en:Algebra"
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        "The state of being linearly dependent"
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        "(algebra, uncountable) The state of being linearly dependent"
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      "glosses": [
        "A linear relation between some appropriate things"
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
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          "linear",
          "linear"
        ]
      ],
      "raw_glosses": [
        "(mathematics, countable) A linear relation between some appropriate things"
      ],
      "tags": [
        "countable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "translations": [
    {
      "code": "da",
      "lang": "Danish",
      "sense": "state of being linearly independent",
      "tags": [
        "common-gender"
      ],
      "word": "lineær afhængighed"
    }
  ],
  "word": "linear dependence"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-06 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.