See disjoint union on Wiktionary
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referring to the original sets to their elements (i.e., by using indexing)." ], "id": "en-disjoint_union-en-noun-RsZSwq3O", "links": [ [ "mathematics", "mathematics" ], [ "union", "union" ], [ "set", "set" ] ], "raw_glosses": [ "(mathematics) A union of sets forced to be disjoint by attaching information referring to the original sets to their elements (i.e., by using indexing)." ], "synonyms": [ { "_dis1": "46 35 19", "sense": "union of sets forced to be disjoint", "word": "discriminated union" } ], "topics": [ "mathematics", "sciences" ], "translations": [ { "_dis1": "46 35 19", "code": "it", "lang": "Italian", "sense": "union of sets forced to be disjoint", "tags": [ "feminine" ], "word": "unione disgiunta" }, { "_dis1": "46 35 19", "code": "sv", "lang": "Swedish", "sense": "union of sets forced to be disjoint", "word": "disjunkt union" } ] }, { "categories": [ { "kind": "topical", "langcode": "en", "name": "Mathematics", "orig": "en:Mathematics", "parents": [ "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w" }, { "_dis": "25 37 39", "kind": "other", "name": "English entries with incorrect language header", "parents": [ "Entries with incorrect language header", "Entry maintenance" ], "source": "w+disamb" }, { "_dis": "19 53 28", "kind": "other", "name": "Entries with translation boxes", "parents": [], "source": "w+disamb" }, { "_dis": "26 34 40", "kind": "other", "name": "Pages with 1 entry", "parents": [], "source": "w+disamb" }, { "_dis": "26 35 39", "kind": "other", "name": "Pages with entries", "parents": [], "source": "w+disamb" }, { "_dis": "24 38 38", "kind": "other", "name": "Terms with Icelandic translations", "parents": [], "source": "w+disamb" }, { "_dis": "22 43 35", "kind": "other", "name": "Terms with Italian translations", "parents": [], "source": "w+disamb" }, { "_dis": "24 38 38", "kind": "other", "name": "Terms with Swedish translations", "parents": [], "source": "w+disamb" }, { "_dis": "22 38 40", "kind": "topical", "langcode": "en", "name": "Category theory", "orig": "en:Category theory", "parents": [ "Mathematics", "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w+disamb" }, { "_dis": "27 32 40", "kind": "topical", "langcode": "en", "name": "Set theory", "orig": "en:Set theory", "parents": [ "Mathematics", "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w+disamb" } ], "glosses": [ "A union of sets which are already pairwise disjoint." ], "id": "en-disjoint_union-en-noun-VaFQCulz", "links": [ [ "mathematics", "mathematics" ] ], "raw_glosses": [ "(mathematics) A union of sets which are already pairwise disjoint." ], "topics": [ "mathematics", "sciences" ] }, { "categories": [ { "kind": "topical", "langcode": "en", "name": "Topology", "orig": "en:Topology", "parents": [ "Mathematics", "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w" }, { "_dis": "25 37 39", "kind": "other", "name": "English entries with incorrect language header", "parents": [ "Entries with incorrect language header", "Entry maintenance" ], "source": "w+disamb" }, { "_dis": "26 34 40", "kind": "other", "name": "Pages with 1 entry", "parents": [], "source": "w+disamb" }, { "_dis": "26 35 39", "kind": "other", "name": "Pages with entries", "parents": [], "source": "w+disamb" }, { "_dis": "24 38 38", "kind": "other", "name": "Terms with Icelandic translations", "parents": [], "source": "w+disamb" }, { "_dis": "22 43 35", "kind": "other", "name": "Terms with Italian translations", "parents": [], "source": "w+disamb" }, { "_dis": "24 38 38", "kind": "other", "name": "Terms with Swedish translations", "parents": [], "source": "w+disamb" }, { "_dis": "22 38 40", "kind": "topical", "langcode": "en", "name": "Category theory", "orig": "en:Category theory", "parents": [ "Mathematics", "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w+disamb" }, { "_dis": "27 32 40", "kind": "topical", "langcode": "en", "name": "Set theory", "orig": "en:Set theory", "parents": [ "Mathematics", "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w+disamb" } ], "glosses": [ "The disjoint union of the underlying sets of a given family of topological spaces, equipped with a topology." ], "id": "en-disjoint_union-en-noun-td2xY1g6", "links": [ [ "topology", "topology" ], [ "topological space", "topological space" ] ], "raw_glosses": [ "(topology) The disjoint union of the underlying sets of a given family of topological spaces, equipped with a topology." ], "synonyms": [ { "_dis1": "15 20 65", "sense": "union of topological spaces equipped with a topology", "word": "coproduct" }, { "_dis1": "15 20 65", "sense": "union of topological spaces equipped with a topology", "word": "direct sum" }, { "_dis1": "15 20 65", "sense": "union of topological spaces equipped with a topology", "word": "free sum" }, { "_dis1": "15 20 65", "sense": "union of topological spaces equipped with a topology", "word": "free union" }, { "_dis1": "15 20 65", "sense": "union of topological spaces equipped with a topology", "word": "topological sum" } ], "topics": [ "mathematics", "sciences", "topology" ], "translations": [ { "_dis1": "25 33 42", "code": "is", "lang": "Icelandic", "sense": "union of topologies", "tags": [ "neuter" ], "word": "sundurlæga sammengi" } ] } ], "synonyms": [ { "_dis1": "27 40 33", "sense": "union of already disjoint sets", "word": "discriminated union" } ], "translations": [ { "_dis1": "27 40 33", "code": "it", "lang": "Italian", "sense": "union of already disjoint sets", "tags": [ "feminine" ], "word": "unione disgiunta" }, { "_dis1": "27 40 33", "code": "sv", "lang": "Swedish", "sense": "union of already disjoint sets", "word": "disjunkt union" } ], "wikipedia": [ "disjoint union" ], "word": "disjoint union" }
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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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