See compositum on Wiktionary
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Adamson (translator), David Hilbert, The Theory of Algebraic Number Fields, [1897, D. Hilbert, Zahlbericht], Springer, page 98,\nOf particular interest is the case in which the discriminants of the fields forming the compositum are relatively prime." }, { "ref": "2004, Dinesh S. Thakur, Function Field Arithmetic, World Scientific, page 81:", "text": "For #x5C;Q, we get the maximal abelian extension by adjoining all roots of unity, i.e., taking compositum of all m-th cyclotomic fields (this is the famous Kronecker-Weber theorem).", "type": "quote" }, { "ref": "2005, T. Y. Lam, Introduction to Quadratic Forms over Fields, American Mathematical Society, page 333:", "text": "This is then just the field compositum of all the quadratic extensions F(#x5C;sqrt#x7B;a#x5F;i#x7D;) in the algebraic closure of F.", "type": "quote" } ], "glosses": [ "Given a field extension F/K and subextensions A and B, the smallest subextension that contains both A and B." ], "id": "en-compositum-en-noun-9Anj7Jc~", "links": [ [ "algebra", "algebra" ], [ "field extension", "field extension" ], [ "subextension", "subextension" ] ], "qualifier": "field theory", "raw_glosses": [ "(algebra, field theory) Given a field extension F/K and subextensions A and B, the smallest subextension that contains both A and B." ], "synonyms": [ { "sense": "smallest subextension of a given field extension that contains two given subextensions", "word": "field compositum" } ], "topics": [ "algebra", "mathematics", "sciences" ] } ], "sounds": [ { "audio": "LL-Q1860 (eng)-Flame, not lame-compositum.wav", "mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/c/cd/LL-Q1860_%28eng%29-Flame%2C_not_lame-compositum.wav/LL-Q1860_%28eng%29-Flame%2C_not_lame-compositum.wav.mp3", "ogg_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/c/cd/LL-Q1860_%28eng%29-Flame%2C_not_lame-compositum.wav/LL-Q1860_%28eng%29-Flame%2C_not_lame-compositum.wav.ogg" } ], "word": "compositum" } { "etymology_text": "Inflected form of compositus; the noun is the substantivised neuter form.", "head_templates": [ { "args": { "1": "la", "2": "adjective form" }, "expansion": "compositum", "name": "head" } ], "lang": "Latin", "lang_code": "la", "pos": "adj", "senses": [ { "categories": [ { "_dis": "40 45 12 4", "kind": "other", "name": "Latin entries with incorrect language header", "parents": [ "Entries with incorrect language header", "Entry maintenance" ], "source": "w+disamb" }, { "_dis": "61 27 8 5", "kind": "other", "name": "Latin neuter nouns in the second declension", "parents": [], "source": "w+disamb" } ], "form_of": [ { "word": "compositus" } ], "glosses": [ "inflection of compositus:", "nominative/accusative/vocative neuter singular" ], "id": "en-compositum-la-adj-yNUbt2Vr", "links": [ [ "compositus", "compositus#Latin" ] ], "tags": [ "accusative", "form-of", "neuter", "nominative", "singular", "vocative" ] }, { "categories": [ { "_dis": "40 45 12 4", "kind": "other", "name": "Latin entries with incorrect language header", "parents": [ "Entries with incorrect language header", "Entry maintenance" ], "source": "w+disamb" } ], "form_of": [ { "word": "compositus" } ], "glosses": [ "inflection of compositus:", "accusative masculine singular" ], "id": "en-compositum-la-adj-YFeg~lCn", "links": [ [ "compositus", "compositus#Latin" ] ], "tags": [ "accusative", "form-of", "masculine", "singular" ] } ], "word": "compositum" } { "etymology_text": "Inflected form of compositus; the noun is the substantivised neuter form.", "forms": [ { "form": "compositī", "tags": [ "genitive" ] }, { "form": "no-table-tags", "source": "declension", "tags": [ "table-tags" ] }, { "form": "la-ndecl", "source": "declension", "tags": [ "inflection-template" ] }, { "form": "compositum", "source": "declension", "tags": [ "nominative", "singular" ] }, { "form": "composita", "source": "declension", "tags": [ "nominative", "plural" ] }, { "form": "compositī", "source": "declension", "tags": [ "genitive", "singular" ] }, { "form": "compositōrum", "source": "declension", "tags": [ "genitive", "plural" ] }, { "form": "compositō", "source": "declension", "tags": [ "dative", "singular" ] }, { "form": "compositīs", "source": "declension", "tags": [ "dative", "plural" ] }, { "form": "compositum", "source": "declension", "tags": [ "accusative", "singular" ] }, { "form": "composita", "source": "declension", "tags": [ "accusative", "plural" ] }, { "form": "compositō", "source": "declension", "tags": [ "ablative", "singular" ] }, { "form": "compositīs", "source": "declension", "tags": [ "ablative", "plural" ] }, { "form": "compositum", "source": "declension", "tags": [ "singular", "vocative" ] }, { "form": "composita", "source": "declension", "tags": [ "plural", "vocative" ] } ], "head_templates": [ { "args": { "1": "compositum<2>" }, "expansion": "compositum n (genitive compositī); second declension", "name": "la-noun" } ], "inflection_templates": [ { "args": { "1": "compositum<2>" }, "name": "la-ndecl" } ], "lang": "Latin", "lang_code": "la", "pos": "noun", "senses": [ { "categories": [ { "_dis": "40 45 12 4", "kind": "other", "name": "Latin entries with incorrect language header", "parents": [ "Entries with incorrect language header", "Entry maintenance" ], "source": "w+disamb" } ], "glosses": [ "that which is agreed; an agreement, compact, etc." ], "id": "en-compositum-la-noun-MzF5I8A3", "links": [ [ "agreement", "agreement" ], [ "compact", "compact" ] ], "synonyms": [ { "word": "condiciō" }, { "word": "stipulātiō" }, { "word": "pactum" } ], "tags": [ "declension-2", "neuter" ] }, { "glosses": [ "compound word, compound" ], "id": "en-compositum-la-noun-UFsufTwU", "links": [ [ "compound word", "compound word" ], [ "compound", "compound" ] ], "tags": [ "declension-2", "neuter" ] } ], "word": "compositum" }
{ "categories": [ "Pages with 2 entries", "Pages with entries" ], "etymology_templates": [ { "args": { "1": "en", "2": "la", "3": "compositum" }, "expansion": "Latin compositum", "name": "der" } ], "etymology_text": "From Latin compositum.", "forms": [ { "form": "compositums", "tags": [ "plural" ] } ], "head_templates": [ { "args": {}, "expansion": "compositum (plural compositums)", "name": "en-noun" } ], "lang": "English", "lang_code": "en", "pos": "noun", "senses": [ { "categories": [ "English countable nouns", "English entries with incorrect language header", "English lemmas", "English nouns", "English terms derived from Latin", "English terms with quotations", "Entries with translation boxes", "Pages with 2 entries", "Pages with entries", "en:Algebra" ], "examples": [ { "text": "1998, Iain T. Adamson (translator), David Hilbert, The Theory of Algebraic Number Fields, [1897, D. Hilbert, Zahlbericht], Springer, page 98,\nOf particular interest is the case in which the discriminants of the fields forming the compositum are relatively prime." }, { "ref": "2004, Dinesh S. Thakur, Function Field Arithmetic, World Scientific, page 81:", "text": "For #x5C;Q, we get the maximal abelian extension by adjoining all roots of unity, i.e., taking compositum of all m-th cyclotomic fields (this is the famous Kronecker-Weber theorem).", "type": "quote" }, { "ref": "2005, T. Y. Lam, Introduction to Quadratic Forms over Fields, American Mathematical Society, page 333:", "text": "This is then just the field compositum of all the quadratic extensions F(#x5C;sqrt#x7B;a#x5F;i#x7D;) in the algebraic closure of F.", "type": "quote" } ], "glosses": [ "Given a field extension F/K and subextensions A and B, the smallest subextension that contains both A and B." ], "links": [ [ "algebra", "algebra" ], [ "field extension", "field extension" ], [ "subextension", "subextension" ] ], "qualifier": "field theory", "raw_glosses": [ "(algebra, field theory) Given a field extension F/K and subextensions A and B, the smallest subextension that contains both A and B." ], "topics": [ "algebra", "mathematics", "sciences" ] } ], "sounds": [ { "audio": "LL-Q1860 (eng)-Flame, not lame-compositum.wav", "mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/c/cd/LL-Q1860_%28eng%29-Flame%2C_not_lame-compositum.wav/LL-Q1860_%28eng%29-Flame%2C_not_lame-compositum.wav.mp3", "ogg_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/c/cd/LL-Q1860_%28eng%29-Flame%2C_not_lame-compositum.wav/LL-Q1860_%28eng%29-Flame%2C_not_lame-compositum.wav.ogg" } ], "synonyms": [ { "sense": "smallest subextension of a given field extension that contains two given subextensions", "word": "field compositum" } ], "word": "compositum" } { "categories": [ "Latin adjective forms", "Latin entries with incorrect language header", "Latin lemmas", "Latin neuter nouns", "Latin neuter nouns in the second declension", "Latin non-lemma forms", "Latin nouns", "Latin second declension nouns", "Pages with 2 entries", "Pages with entries" ], "etymology_text": "Inflected form of compositus; the noun is the substantivised neuter form.", "head_templates": [ { "args": { "1": "la", "2": "adjective form" }, "expansion": "compositum", "name": "head" } ], "lang": "Latin", "lang_code": "la", "pos": "adj", "senses": [ { "form_of": [ { "word": "compositus" } ], "glosses": [ "inflection of compositus:", "nominative/accusative/vocative neuter singular" ], "links": [ [ "compositus", "compositus#Latin" ] ], "tags": [ "accusative", "form-of", "neuter", "nominative", "singular", "vocative" ] }, { "form_of": [ { "word": "compositus" } ], "glosses": [ "inflection of compositus:", "accusative masculine singular" ], "links": [ [ "compositus", "compositus#Latin" ] ], "tags": [ "accusative", "form-of", "masculine", "singular" ] } ], "word": "compositum" } { "categories": [ "Latin adjective forms", "Latin entries with incorrect language header", "Latin lemmas", "Latin neuter nouns", "Latin neuter nouns in the second declension", "Latin non-lemma forms", "Latin nouns", "Latin second declension nouns", "Pages with 2 entries", "Pages with entries" ], "etymology_text": "Inflected form of compositus; the noun is the substantivised neuter form.", "forms": [ { "form": "compositī", "tags": [ "genitive" ] }, { "form": "no-table-tags", "source": "declension", "tags": [ "table-tags" ] }, { "form": "la-ndecl", "source": "declension", "tags": [ "inflection-template" ] }, { "form": "compositum", "source": "declension", "tags": [ "nominative", "singular" ] }, { "form": "composita", "source": "declension", "tags": [ "nominative", "plural" ] }, { "form": "compositī", "source": "declension", "tags": [ "genitive", "singular" ] }, { "form": "compositōrum", "source": "declension", "tags": [ "genitive", "plural" ] }, { "form": "compositō", "source": "declension", "tags": [ "dative", "singular" ] }, { "form": "compositīs", "source": "declension", "tags": [ "dative", "plural" ] }, { "form": "compositum", "source": "declension", "tags": [ "accusative", "singular" ] }, { "form": "composita", "source": "declension", "tags": [ "accusative", "plural" ] }, { "form": "compositō", "source": "declension", "tags": [ "ablative", "singular" ] }, { "form": "compositīs", "source": "declension", "tags": [ "ablative", "plural" ] }, { "form": "compositum", "source": "declension", "tags": [ "singular", "vocative" ] }, { "form": "composita", "source": "declension", "tags": [ "plural", "vocative" ] } ], "head_templates": [ { "args": { "1": "compositum<2>" }, "expansion": "compositum n (genitive compositī); second declension", "name": "la-noun" } ], "inflection_templates": [ { "args": { "1": "compositum<2>" }, "name": "la-ndecl" } ], "lang": "Latin", "lang_code": "la", "pos": "noun", "senses": [ { "glosses": [ "that which is agreed; an agreement, compact, etc." ], "links": [ [ "agreement", "agreement" ], [ "compact", "compact" ] ], "synonyms": [ { "word": "condiciō" }, { "word": "stipulātiō" }, { "word": "pactum" } ], "tags": [ "declension-2", "neuter" ] }, { "glosses": [ "compound word, compound" ], "links": [ [ "compound word", "compound word" ], [ "compound", "compound" ] ], "tags": [ "declension-2", "neuter" ] } ], "word": "compositum" }
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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 2024-12-01 from the enwiktionary dump dated 2024-11-21 using wiktextract (95d2be1 and 64224ec). 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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