"matroid" meaning in All languages combined

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  ],
  "etymology_text": "From matrix + -oid. They were so named by Hassler Whitney in 1935 in an article titled “On the abstract properties of linear dependence”.",
  "forms": [
    {
      "form": "matroids",
      "tags": [
        "plural"
      ]
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  "head_templates": [
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      "args": {},
      "expansion": "matroid (plural matroids)",
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  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
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          "name": "English entries with incorrect language header",
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          "source": "w"
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          "source": "w"
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          "kind": "other",
          "name": "Terms with Finnish translations",
          "parents": [],
          "source": "w"
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          "kind": "other",
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          "source": "w"
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        {
          "kind": "other",
          "name": "Terms with Italian translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Combinatorics",
          "orig": "en:Combinatorics",
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        }
      ],
      "derived": [
        {
          "word": "antimatroid"
        },
        {
          "word": "matroidal"
        },
        {
          "word": "polymatroid"
        }
      ],
      "examples": [
        {
          "text": "A matroid can be defined in terms of bases. A matroid consists of a ground set as well as a set of bases which is a nonempty subset of the power set of the ground set.",
          "type": "example"
        }
      ],
      "glosses": [
        "A structure that captures the essence of a notion of \"independence\" that generalizes linear independence in vector spaces and acyclicality in graphs."
      ],
      "id": "en-matroid-en-noun-IzKAR8hm",
      "links": [
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          "combinatorics",
          "combinatorics"
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        [
          "structure",
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        [
          "independence",
          "independence"
        ],
        [
          "linear independence",
          "linear independence"
        ],
        [
          "vector space",
          "vector space"
        ],
        [
          "acyclicality",
          "acyclicality"
        ],
        [
          "graph",
          "graph"
        ]
      ],
      "raw_glosses": [
        "(combinatorics) A structure that captures the essence of a notion of \"independence\" that generalizes linear independence in vector spaces and acyclicality in graphs."
      ],
      "topics": [
        "combinatorics",
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "code": "fi",
          "lang": "Finnish",
          "sense": "Translations",
          "word": "matroidi"
        },
        {
          "code": "fr",
          "lang": "French",
          "sense": "Translations",
          "tags": [
            "masculine"
          ],
          "word": "matroïde"
        },
        {
          "code": "it",
          "lang": "Italian",
          "sense": "Translations",
          "tags": [
            "masculine"
          ],
          "word": "matroide"
        }
      ],
      "wikipedia": [
        "Hassler Whitney",
        "matroid"
      ]
    }
  ],
  "word": "matroid"
}

{
  "derived": [
    {
      "word": "antimatroid"
    },
    {
      "word": "matroidal"
    },
    {
      "word": "polymatroid"
    }
  ],
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  ],
  "etymology_text": "From matrix + -oid. They were so named by Hassler Whitney in 1935 in an article titled “On the abstract properties of linear dependence”.",
  "forms": [
    {
      "form": "matroids",
      "tags": [
        "plural"
      ]
    }
  ],
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    {
      "args": {},
      "expansion": "matroid (plural matroids)",
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  "lang_code": "en",
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        "Terms with Italian translations",
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        "en:Combinatorics"
      ],
      "examples": [
        {
          "text": "A matroid can be defined in terms of bases. A matroid consists of a ground set as well as a set of bases which is a nonempty subset of the power set of the ground set.",
          "type": "example"
        }
      ],
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        "A structure that captures the essence of a notion of \"independence\" that generalizes linear independence in vector spaces and acyclicality in graphs."
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        ],
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          "linear independence",
          "linear independence"
        ],
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          "vector space",
          "vector space"
        ],
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          "acyclicality"
        ],
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          "graph"
        ]
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        "(combinatorics) A structure that captures the essence of a notion of \"independence\" that generalizes linear independence in vector spaces and acyclicality in graphs."
      ],
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        "combinatorics",
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
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  ],
  "translations": [
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "Translations",
      "word": "matroidi"
    },
    {
      "code": "fr",
      "lang": "French",
      "sense": "Translations",
      "tags": [
        "masculine"
      ],
      "word": "matroïde"
    },
    {
      "code": "it",
      "lang": "Italian",
      "sense": "Translations",
      "tags": [
        "masculine"
      ],
      "word": "matroide"
    }
  ],
  "word": "matroid"
}