See separation constant on Wiktionary
{ "forms": [ { "form": "separation constants", "tags": [ "plural" ] } ], "head_templates": [ { "args": {}, "expansion": "separation constant (plural separation constants)", "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": "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 German translations", "parents": [], "source": "w" }, { "kind": "topical", "langcode": "en", "name": "Calculus", "orig": "en:Calculus", "parents": [ "Mathematical analysis", "Mathematics", "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w" } ], "examples": [ { "text": "The partial differential equation a sin ²(θ)Φ(ϕ)+Φ(ϕ) cos (θ)(∂Θ(θ))/(∂θ)+(∂²Φ)/(∂ϕ²)=0 can be rewritten a sin ²(θ)+ cos (θ)(∂Θ(θ))/(∂θ)=-1/(Φ(ϕ))(∂²Φ)/(∂ϕ²)≡K, where K is a separation constant that depends on neither θ nor ϕ. This then yields two ordinary differential equations." } ], "glosses": [ "a constant that may be introduced upon separation of variables" ], "id": "en-separation_constant-en-noun-RJYYPBLA", "links": [ [ "calculus", "calculus" ], [ "constant", "constant" ], [ "separation of variables", "separation of variables" ] ], "raw_glosses": [ "(calculus) a constant that may be introduced upon separation of variables" ], "topics": [ "calculus", "mathematics", "sciences" ], "translations": [ { "code": "de", "lang": "German", "sense": "constant introduced after separation of variables", "tags": [ "feminine" ], "word": "Seperationskonstante" } ] } ], "word": "separation constant" }
{ "forms": [ { "form": "separation constants", "tags": [ "plural" ] } ], "head_templates": [ { "args": {}, "expansion": "separation constant (plural separation constants)", "name": "en-noun" } ], "lang": "English", "lang_code": "en", "pos": "noun", "senses": [ { "categories": [ "English countable nouns", "English entries with incorrect language header", "English lemmas", "English multiword terms", "English nouns", "Entries with translation boxes", "Pages with 1 entry", "Pages with entries", "Terms with German translations", "en:Calculus" ], "examples": [ { "text": "The partial differential equation a sin ²(θ)Φ(ϕ)+Φ(ϕ) cos (θ)(∂Θ(θ))/(∂θ)+(∂²Φ)/(∂ϕ²)=0 can be rewritten a sin ²(θ)+ cos (θ)(∂Θ(θ))/(∂θ)=-1/(Φ(ϕ))(∂²Φ)/(∂ϕ²)≡K, where K is a separation constant that depends on neither θ nor ϕ. This then yields two ordinary differential equations." } ], "glosses": [ "a constant that may be introduced upon separation of variables" ], "links": [ [ "calculus", "calculus" ], [ "constant", "constant" ], [ "separation of variables", "separation of variables" ] ], "raw_glosses": [ "(calculus) a constant that may be introduced upon separation of variables" ], "topics": [ "calculus", "mathematics", "sciences" ] } ], "translations": [ { "code": "de", "lang": "German", "sense": "constant introduced after separation of variables", "tags": [ "feminine" ], "word": "Seperationskonstante" } ], "word": "separation constant" }
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