"linear dependence" meaning in English

{
  "forms": [
    {
      "form": "linear dependences",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "linear dependence (plural linear dependences)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Algebra",
          "orig": "en:Algebra",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        },
        {
          "_dis": "89 11",
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
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          "source": "w+disamb"
        },
        {
          "_dis": "95 5",
          "kind": "other",
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          "source": "w+disamb"
        },
        {
          "_dis": "90 10",
          "kind": "other",
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          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "96 4",
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "95 5",
          "kind": "other",
          "name": "Terms with Danish translations",
          "parents": [],
          "source": "w+disamb"
        }
      ],
      "glosses": [
        "The state of being linearly dependent"
      ],
      "id": "en-linear_dependence-en-noun-r~gAknPC",
      "links": [
        [
          "algebra",
          "algebra"
        ],
        [
          "linearly dependent",
          "linearly dependent"
        ]
      ],
      "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"
        }
      ]
    },
    {
      "categories": [
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "A linear relation between some appropriate things"
      ],
      "id": "en-linear_dependence-en-noun-fDxfiW20",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "linear",
          "linear"
        ]
      ],
      "raw_glosses": [
        "(mathematics, countable) A linear relation between some appropriate things"
      ],
      "tags": [
        "countable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "linear dependence"
}

{
  "categories": [
    "English countable nouns",
    "English entries with incorrect language header",
    "English lemmas",
    "English multiword terms",
    "English nouns",
    "Entries with translation boxes",
    "Pages with 1 entry",
    "Pages with entries",
    "Terms with Danish translations"
  ],
  "forms": [
    {
      "form": "linear dependences",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "linear dependence (plural linear dependences)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English uncountable nouns",
        "en:Algebra"
      ],
      "glosses": [
        "The state of being linearly dependent"
      ],
      "links": [
        [
          "algebra",
          "algebra"
        ],
        [
          "linearly dependent",
          "linearly dependent"
        ]
      ],
      "raw_glosses": [
        "(algebra, uncountable) The state of being linearly dependent"
      ],
      "tags": [
        "uncountable"
      ],
      "topics": [
        "algebra",
        "mathematics",
        "sciences"
      ]
    },
    {
      "categories": [
        "English countable nouns",
        "en:Mathematics"
      ],
      "glosses": [
        "A linear relation between some appropriate things"
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "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"
}