See closed form on Wiktionary
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"raw_glosses": [ "(mathematics) A form (expression) that does not use limits, implicitly or explicitly." ], "tags": [ "countable", "uncountable" ], "topics": [ "mathematics", "sciences" ], "translations": [ { "_dis1": "83 6 3 4 4", "code": "fi", "lang": "Finnish", "sense": "(mathematics) expression that does not use limits", "word": "suljettu muoto" }, { "_dis1": "83 6 3 4 4", "code": "de", "lang": "German", "sense": "(mathematics) expression that does not use limits", "tags": [ "feminine" ], "word": "geschlossene Form" }, { "_dis1": "83 6 3 4 4", "code": "pl", "lang": "Polish", "sense": "(mathematics) expression that does not use limits", "tags": [ "masculine" ], "word": "wzór jawny" } ] }, { "categories": [ { "kind": "topical", "langcode": "en", "name": "Mathematics", "orig": "en:Mathematics", "parents": [ "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w" }, { "_dis": "17 71 5 5 2", "kind": "other", "name": "English entries with incorrect language header", "parents": [ "Entries with incorrect language header", "Entry maintenance" ], "source": "w+disamb" }, { "_dis": "7 80 4 5 5", "kind": "other", "name": "Entries with translation boxes", "parents": [], "source": "w+disamb" }, { "_dis": "14 73 4 5 4", "kind": "other", "name": "Pages with 1 entry", "parents": [], "source": "w+disamb" }, { "_dis": "7 81 4 5 4", "kind": "other", "name": "Pages with entries", "parents": [], "source": "w+disamb" }, { "_dis": "11 59 11 13 6", "kind": "other", "name": "Terms with Finnish translations", "parents": [], "source": "w+disamb" }, { "_dis": "10 66 7 8 9", "kind": "other", "name": "Terms with German translations", "parents": [], "source": "w+disamb" }, { "_dis": "13 50 13 16 8", "kind": "other", "name": "Terms with Polish translations", "parents": [], "source": "w+disamb" } ], "glosses": [ "A differential form whose exterior derivative is zero." ], "id": "en-closed_form-en-noun-l2XPl6Xf", "links": [ [ "mathematics", "mathematics" ], [ "differential form", "differential form" ], [ "exterior derivative", "exterior derivative" ] ], "raw_glosses": [ "(mathematics) A differential form whose exterior derivative is zero." ], "tags": [ "countable", "uncountable" ], "topics": [ "mathematics", "sciences" ], "translations": [ { "_dis1": "7 90 1 1 2", "code": "fi", "lang": "Finnish", "sense": "(mathematics) differential form whose exterior derivative is zero", "word": "suljettu muoto" }, { "_dis1": "7 90 1 1 2", "code": "de", "lang": "German", "sense": "(mathematics) differential form whose exterior derivative is zero", "tags": [ "feminine" ], "word": "geschlossene Form" }, { "_dis1": "7 90 1 1 2", "code": "pl", "lang": "Polish", "sense": "(mathematics) differential form whose exterior derivative is zero", "tags": [ "masculine" ], "word": "wzór jawny" } ] }, { "categories": [ { "kind": "topical", "langcode": "en", "name": "Poetry", "orig": "en:Poetry", "parents": [ "Art", "Literature", "Culture", "Entertainment", "Writing", "Society", "Human behaviour", "Language", "All topics", "Human", "Communication", "Fundamental" ], "source": "w" } ], "glosses": [ "A type of poetry with regular structure, such as meter or a rhyming pattern." ], "id": "en-closed_form-en-noun-1FU7q7T0", "links": [ [ "poetry", "poetry" ], [ "structure", "structure" ] ], "raw_glosses": [ "(poetry) A type of poetry with regular structure, such as meter or a rhyming pattern." ], "tags": [ "countable", "uncountable" ], "topics": [ "communications", "journalism", "literature", "media", "poetry", "publishing", "writing" ] }, { "categories": [ { "kind": "topical", "langcode": "en", "name": "Poetry", "orig": "en:Poetry", "parents": [ "Art", "Literature", "Culture", "Entertainment", "Writing", "Society", "Human behaviour", "Language", "All topics", "Human", "Communication", "Fundamental" ], "source": "w" } ], "glosses": [ "Trobar clus." ], "id": "en-closed_form-en-noun-BC3t1r8b", "links": [ [ "poetry", "poetry" ], [ "Trobar clus", "Trobar clus" ] ], "raw_glosses": [ "(poetry) Trobar clus." ], "tags": [ "countable", "uncountable" ], "topics": [ "communications", "journalism", "literature", "media", "poetry", "publishing", "writing" ] }, { "categories": [], "examples": [ { "text": "If ω is a closed form, then dω=0.", "type": "example" } ], "glosses": [ "Used other than figuratively or idiomatically: see closed, form." ], "id": "en-closed_form-en-noun-50EDADII", "links": [ [ "closed", "closed#English" ], [ "form", "form#English" ] ], "tags": [ "countable", "uncountable" ] } ], "word": "closed form" }
{ "categories": [ "English countable nouns", "English entries with incorrect language header", "English lemmas", "English multiword terms", "English nouns", "English uncountable nouns", "Entries with translation boxes", "Pages with 1 entry", "Pages with entries", "Terms with Finnish translations", "Terms with German translations", "Terms with Polish translations" ], "forms": [ { "form": "closed forms", "tags": [ "plural" ] } ], "head_templates": [ { "args": { "1": "~" }, "expansion": "closed form (countable and uncountable, plural closed forms)", "name": "en-noun" } ], "lang": "English", "lang_code": "en", "pos": "noun", "senses": [ { "categories": [ "English terms with usage examples", "en:Mathematics" ], "examples": [ { "text": "There is no known representation of π in closed form: each expression for it includes an integral, an infinite series, or an infinite continued fraction.", "type": "example" } ], "glosses": [ "A form (expression) that does not use limits, implicitly or explicitly." ], "links": [ [ "mathematics", "mathematics" ], [ "form", "form" ], [ "expression", "expression#English" ], [ "limit", "limit" ], [ "implicit", "implicit" ], [ "explicit", "explicit" ] ], "raw_glosses": [ "(mathematics) A form (expression) that does not use limits, implicitly or explicitly." ], "tags": [ "countable", "uncountable" ], "topics": [ "mathematics", "sciences" ] }, { "categories": [ "en:Mathematics" ], "glosses": [ "A differential form whose exterior derivative is zero." ], "links": [ [ "mathematics", "mathematics" ], [ "differential form", "differential form" ], [ "exterior derivative", "exterior derivative" ] ], "raw_glosses": [ "(mathematics) A differential form whose exterior derivative is zero." ], "tags": [ "countable", "uncountable" ], "topics": [ "mathematics", "sciences" ] }, { "categories": [ "en:Poetry" ], "glosses": [ "A type of poetry with regular structure, such as meter or a rhyming pattern." ], "links": [ [ "poetry", "poetry" ], [ "structure", "structure" ] ], "raw_glosses": [ "(poetry) A type of poetry with regular structure, such as meter or a rhyming pattern." ], "tags": [ "countable", "uncountable" ], "topics": [ "communications", "journalism", "literature", "media", "poetry", "publishing", "writing" ] }, { "categories": [ "en:Poetry" ], "glosses": [ "Trobar clus." ], "links": [ [ "poetry", "poetry" ], [ "Trobar clus", "Trobar clus" ] ], "raw_glosses": [ "(poetry) Trobar clus." ], "tags": [ "countable", "uncountable" ], "topics": [ "communications", "journalism", "literature", "media", "poetry", "publishing", "writing" ] }, { "categories": [ "English terms with usage examples" ], "examples": [ { "text": "If ω is a closed form, then dω=0.", "type": "example" } ], "glosses": [ "Used other than figuratively or idiomatically: see closed, form." ], "links": [ [ "closed", "closed#English" ], [ "form", "form#English" ] ], "tags": [ "countable", "uncountable" ] } ], "translations": [ { "code": "fi", "lang": "Finnish", "sense": "(mathematics) expression that does not use limits", "word": "suljettu muoto" }, { "code": "de", "lang": "German", "sense": "(mathematics) expression that does not use limits", "tags": [ "feminine" ], "word": "geschlossene Form" }, { "code": "pl", "lang": "Polish", "sense": "(mathematics) expression that does not use limits", "tags": [ "masculine" ], "word": "wzór jawny" }, { "code": "fi", "lang": "Finnish", "sense": "(mathematics) differential form whose exterior derivative is zero", "word": "suljettu muoto" }, { "code": "de", "lang": "German", "sense": "(mathematics) differential form whose exterior derivative is zero", "tags": [ "feminine" ], "word": "geschlossene Form" }, { "code": "pl", "lang": "Polish", "sense": "(mathematics) differential form whose exterior derivative is zero", "tags": [ "masculine" ], "word": "wzór jawny" } ], "word": "closed form" }
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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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