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Calque of Latin aequatio differentialis, which was coined by Leibniz in 1676.", "forms": [ { "form": "differential equations", "tags": [ "plural" ] } ], "head_templates": [ { "args": {}, "expansion": "differential equation (plural differential equations)", "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 entries with topic categories using raw markup", "parents": [ "Entries with topic categories using raw markup", "Entry maintenance" ], "source": "w" }, { "kind": "other", "name": "English terms with non-redundant non-automated sortkeys", "parents": [ "Terms with non-redundant non-automated sortkeys", "Entry maintenance" ], "source": "w" }, { "kind": "other", "name": "Japanese terms with redundant script codes", "parents": [ "Terms with redundant script codes", "Entry maintenance" ], "source": "w" }, { "kind": "other", "name": "Mandarin terms with non-redundant manual transliterations", "parents": [ "Terms with non-redundant manual transliterations", "Entry maintenance" ], "source": "w" }, { "kind": "topical", "langcode": "en", "name": "Calculus", "orig": "en:Calculus", "parents": [ "Mathematical analysis", "Mathematics", "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w" }, { "kind": "other", "langcode": "en", "name": "Differential equations", "orig": "en:Differential equations", "parents": [], "source": "w" } ], "derived": [ { "word": "DE" }, { "word": "delay differential equation" }, { "word": "diff EQ" }, { "alt": "ODE", "word": "ordinary differential equation" }, { "alt": "PDE", "word": "partial differential equation" }, { "word": "stochastic differential equation" } ], "glosses": [ "an equation involving the derivatives of a function" ], "id": "en-differential_equation-en-noun-xPZdyszq", "links": [ [ "calculus", "calculus" ], [ "derivative", "derivative" ], [ "function", "function" ] ], "raw_glosses": [ "(calculus) an equation involving the derivatives of a function" ], "topics": [ "calculus", "mathematics", "sciences" ], "translations": [ { "code": "ca", "lang": "Catalan", "sense": "equation involving the derivatives of a function", "tags": [ "feminine" ], "word": "equació diferencial" }, { "code": "cmn", "lang": "Chinese Mandarin", "roman": "wéifēn fāngchéng", "sense": "equation involving the derivatives of a function", "word": "微分方程" }, { "code": "cmn", "lang": "Chinese Mandarin", "roman": "wéifēn fāngchéngshì", "sense": "equation involving the derivatives of a function", "word": "微分方程式" }, { "code": "cs", "lang": "Czech", "sense": "equation involving the derivatives of a function", "tags": [ "feminine" ], "word": "diferenciální rovnice" }, { "code": "da", "lang": "Danish", "sense": "equation involving the derivatives of a function", "tags": [ "common-gender" ], "word": "differentialligning" }, { "code": "nl", "lang": "Dutch", "sense": "equation involving the derivatives of a function", "word": "differentiaalvergelijking" }, { "code": "eo", "lang": "Esperanto", "sense": "equation involving the derivatives of a function", "word": "diferenciala ekvacio" }, { "code": "fi", "lang": "Finnish", "sense": "equation involving the derivatives of a function", "word": "differentiaaliyhtälö" }, { "code": "fr", "lang": "French", "sense": "equation involving the derivatives of a function", "tags": [ "feminine" ], "word": "équation différentielle" }, { "code": "de", "lang": "German", "sense": "equation involving the derivatives of a function", "tags": [ "feminine" ], "word": "Differentialgleichung" }, { "code": "hu", "lang": "Hungarian", "sense": "equation involving the derivatives of a function", "word": "differenciálegyenlet" }, { "code": "it", "lang": "Italian", "sense": "equation involving the derivatives of a function", "tags": [ "feminine" ], "word": "equazione differenziale" }, { "code": "ja", "lang": "Japanese", "roman": "bibun hōteishiki", "sense": "equation involving the derivatives of a function", "word": "微分方程式" }, { "code": "la", "lang": "Latin", "sense": "equation involving the derivatives of a function", "tags": [ "feminine" ], "word": "aequātiō differentiālis" }, { "code": "mk", "lang": "Macedonian", "roman": "diferencijálna rávenka", "sense": "equation involving the derivatives of a function", "tags": [ "feminine" ], "word": "диференција́лна ра́венка" }, { "code": "no", "lang": "Norwegian Bokmål", "sense": "equation involving the derivatives of a function", "tags": [ "feminine", "masculine" ], "word": "differensialligning" }, { "code": "no", "lang": "Norwegian Bokmål", "sense": "equation involving the derivatives of a function", "tags": [ "feminine", "masculine" ], "word": "differensiallikning" }, { "code": "nn", "lang": "Norwegian Nynorsk", "sense": "equation involving the derivatives of a function", "tags": [ "feminine" ], "word": "differensiallikning" }, { "code": "pl", "lang": "Polish", "sense": "equation involving the derivatives of a function", "tags": [ "neuter" ], "word": "równanie różniczkowe" }, { "code": "pt", "lang": "Portuguese", "sense": "equation involving the derivatives of a function", "tags": [ "feminine" ], "word": "equação diferencial" }, { "code": "ro", "lang": "Romanian", "sense": "equation involving the derivatives of a function", "tags": [ "feminine" ], "word": "ecuație diferențială" }, { "code": "ru", "lang": "Russian", "roman": "differenciálʹnoje uravnénije", "sense": "equation involving the derivatives of a function", "tags": [ "neuter" ], "word": "дифференциа́льное уравне́ние" }, { "code": "sh", "lang": "Serbo-Croatian", "sense": "equation involving the derivatives of a function", "tags": [ "feminine" ], "word": "diferencijalna jednadžba" }, { "code": "sh", "lang": "Serbo-Croatian", "sense": "equation involving the derivatives of a function", "tags": [ "feminine" ], "word": "диференцијална једнаџба" }, { "code": "es", "lang": "Spanish", "sense": "equation involving the derivatives of a function", "tags": [ "feminine" ], "word": "ecuación diferencial" }, { "code": "sv", "lang": "Swedish", "sense": "equation involving the derivatives of a function", "tags": [ "common-gender" ], "word": "differentialekvation" }, { "code": "tl", "lang": "Tagalog", "sense": "equation involving the derivatives of a function", "word": "tingiring tumbasan" }, { "code": "th", "lang": "Thai", "sense": "equation involving the derivatives of a function", "word": "สมการเชิงอนุพันธ์" }, { "code": "tr", "lang": "Turkish", "sense": "equation involving the derivatives of a function", "word": "diferansiyel denklem" }, { "code": "vi", "lang": "Vietnamese", "sense": "equation involving the derivatives of a function", "word": "phương trình vi phân" } ], "wikipedia": [ "differential equation" ] } ], "word": "differential equation" }
{ "derived": [ { "word": "DE" }, { "word": "delay differential equation" }, { "word": "diff EQ" }, { "alt": "ODE", "word": "ordinary differential equation" }, { "alt": "PDE", "word": "partial differential equation" }, { "word": "stochastic differential equation" } ], "etymology_templates": [ { "args": { "1": "en", "2": "la", "3": "aequatio differentialis" }, "expansion": "Calque of Latin aequatio differentialis", "name": "calque" } ], "etymology_text": "Early 18th century. 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"function" ] ], "raw_glosses": [ "(calculus) an equation involving the derivatives of a function" ], "topics": [ "calculus", "mathematics", "sciences" ], "wikipedia": [ "differential equation" ] } ], "translations": [ { "code": "ca", "lang": "Catalan", "sense": "equation involving the derivatives of a function", "tags": [ "feminine" ], "word": "equació diferencial" }, { "code": "cmn", "lang": "Chinese Mandarin", "roman": "wéifēn fāngchéng", "sense": "equation involving the derivatives of a function", "word": "微分方程" }, { "code": "cmn", "lang": "Chinese Mandarin", "roman": "wéifēn fāngchéngshì", "sense": "equation involving the derivatives of a function", "word": "微分方程式" }, { "code": "cs", "lang": "Czech", "sense": "equation involving the derivatives of a function", "tags": [ "feminine" ], "word": "diferenciální rovnice" }, { "code": "da", "lang": "Danish", "sense": "equation involving the derivatives of a function", "tags": [ "common-gender" ], "word": "differentialligning" }, { "code": "nl", "lang": "Dutch", "sense": "equation involving the derivatives of a function", "word": "differentiaalvergelijking" }, { "code": "eo", "lang": "Esperanto", "sense": "equation involving the derivatives of a function", "word": "diferenciala ekvacio" }, { "code": "fi", "lang": "Finnish", "sense": "equation involving the derivatives of a function", "word": "differentiaaliyhtälö" }, { "code": "fr", "lang": "French", "sense": "equation involving the derivatives of a function", "tags": [ "feminine" ], "word": "équation différentielle" }, { "code": "de", "lang": "German", "sense": "equation involving the derivatives of a function", "tags": [ "feminine" ], "word": "Differentialgleichung" }, { "code": "hu", "lang": "Hungarian", "sense": "equation involving the derivatives of a function", "word": "differenciálegyenlet" }, { "code": "it", "lang": "Italian", "sense": "equation involving the derivatives of a function", "tags": [ "feminine" ], "word": "equazione differenziale" }, { "code": "ja", "lang": "Japanese", "roman": "bibun hōteishiki", "sense": "equation involving the derivatives of a function", "word": "微分方程式" }, { "code": "la", "lang": "Latin", "sense": "equation involving the derivatives of a function", "tags": [ "feminine" ], "word": "aequātiō differentiālis" }, { "code": "mk", "lang": "Macedonian", "roman": "diferencijálna rávenka", "sense": "equation involving the derivatives of a function", "tags": [ "feminine" ], "word": "диференција́лна ра́венка" }, { "code": "no", "lang": "Norwegian Bokmål", "sense": "equation involving the derivatives of a function", "tags": [ "feminine", "masculine" ], "word": "differensialligning" }, { "code": "no", "lang": "Norwegian Bokmål", "sense": "equation involving the derivatives of a function", "tags": [ "feminine", "masculine" ], "word": "differensiallikning" }, { "code": "nn", "lang": "Norwegian Nynorsk", "sense": "equation involving the derivatives of a function", "tags": [ "feminine" ], "word": "differensiallikning" }, { "code": "pl", "lang": "Polish", "sense": "equation involving the derivatives of a function", "tags": [ "neuter" ], "word": "równanie różniczkowe" }, { "code": "pt", "lang": "Portuguese", "sense": "equation involving the derivatives of a function", "tags": [ "feminine" ], "word": "equação diferencial" }, { "code": "ro", "lang": "Romanian", "sense": "equation involving the derivatives of a function", "tags": [ "feminine" ], "word": "ecuație diferențială" }, { "code": "ru", "lang": "Russian", "roman": "differenciálʹnoje uravnénije", "sense": "equation involving the derivatives of a function", "tags": [ "neuter" ], "word": "дифференциа́льное уравне́ние" }, { "code": "sh", "lang": "Serbo-Croatian", "sense": "equation involving the derivatives of a function", "tags": [ "feminine" ], "word": "diferencijalna jednadžba" }, { "code": "sh", "lang": "Serbo-Croatian", "sense": "equation involving the derivatives of a function", "tags": [ "feminine" ], "word": "диференцијална једнаџба" }, { "code": "es", "lang": "Spanish", "sense": "equation involving the derivatives of a function", "tags": [ "feminine" ], "word": "ecuación diferencial" }, { "code": "sv", "lang": "Swedish", "sense": "equation involving the derivatives of a function", "tags": [ "common-gender" ], "word": "differentialekvation" }, { "code": "tl", "lang": "Tagalog", "sense": "equation involving the derivatives of a function", "word": "tingiring tumbasan" }, { "code": "th", "lang": "Thai", "sense": "equation involving the derivatives of a function", "word": "สมการเชิงอนุพันธ์" }, { "code": "tr", "lang": "Turkish", "sense": "equation involving the derivatives of a function", "word": "diferansiyel denklem" }, { "code": "vi", "lang": "Vietnamese", "sense": "equation involving the derivatives of a function", "word": "phương trình vi phân" } ], "word": "differential equation" }
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