See matroid on Wiktionary
{ "etymology_templates": [ { "args": { "1": "en", "2": "matrix", "3": "oid" }, "expansion": "matrix + -oid", "name": "suffix" } ], "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" ] } ], "head_templates": [ { "args": {}, "expansion": "matroid (plural matroids)", "name": "en-noun" } ], "lang": "English", "lang_code": "en", "pos": "noun", "senses": [ { "categories": [ { "kind": "other", "name": "English entries with incorrect language header", "parents": [ "Entries with incorrect language header", "Entry maintenance" ], "source": "w" }, { "kind": "other", "name": "English terms suffixed with -oid", "parents": [], "source": "w" }, { "kind": "other", "name": "Entries with translation boxes", "parents": [], "source": "w" }, { "kind": "other", "name": "Pages with 1 entry", "parents": [], "source": "w" }, { "kind": "other", "name": "Pages with entries", "parents": [], "source": "w" }, { "kind": "other", "name": "Terms with Finnish translations", "parents": [], "source": "w" }, { "kind": "other", "name": "Terms with French translations", "parents": [], "source": "w" }, { "kind": "other", "name": "Terms with Italian translations", "parents": [], "source": "w" }, { "kind": "topical", "langcode": "en", "name": "Combinatorics", "orig": "en:Combinatorics", "parents": [ "Mathematics", "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w" } ], "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": [ [ "combinatorics", "combinatorics" ], [ "structure", "structure" ], [ "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" }
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This page is a part of the kaikki.org machine-readable All languages combined 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.
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