Green's identities (original) (raw)
A matemàtiques, les Identitats de Green són un conjunt de desigualtats en càlcul vectorial. Anomenades així en honor del matemàtic George Green, el mateix que va descobrir el Teorema de Green.
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| dbo:abstract | A matemàtiques, les Identitats de Green són un conjunt de desigualtats en càlcul vectorial. Anomenades així en honor del matemàtic George Green, el mateix que va descobrir el Teorema de Green. (ca) Greenovy identity jsou souborem tří identit ve vektorové analýze. Jsou pojmenovány po matematikovi Georgovi Greenovi, který objevil tzv. Greenovu větu. (cs) In der Mathematik, speziell der Vektoranalysis, sind die beiden greenschen Formeln (manchmal auch greensche Identitäten, greensche Sätze oder Theoreme) spezielle Anwendungen des gaußschen Integralsatzes. Sie sind benannt nach dem Mathematiker George Green. Anwendung finden sie unter anderem in der Elektrostatik bei der Berechnung von Potentialen. Die Formeln sind nicht zu verwechseln mit dem Satz von Green, bei dem es um ebene Integrale geht. Im Folgenden sei kompakt mit abschnittweise glattem Rand und und seien zwei Funktionen auf , wobei einfach und zweifach stetig differenzierbar sei. ist der Nabla-Operator. (de) In mathematics, Green's identities are a set of three identities in vector calculus relating the bulk with the boundary of a region on which differential operators act. They are named after the mathematician George Green, who discovered Green's theorem. (en) En matemáticas, las identidades de Green son un conjunto de igualdades en cálculo vectorial. Nombradas así en honor del matemático George Green, el mismo que descubrió el teorema de Green. (es) En analyse les identités de Green sont trois identités du calcul vectoriel reliant une intégrale définie dans un volume et celle définie sur le bord de ce volume. Ces relations sont dues à George Green. (fr) 数学においてグリーンの恒等式（グリーンのこうとうしき、英: Green's identities）とは、ベクトル解析に現れる三つの恒等式のことを言う。グリーンの定理を発見した数学者のジョージ・グリーンの名にちなむ。 (ja) Le identità di Green, il cui nome è dovuto a George Green, sono due corollari del teorema della divergenza per funzioni continue e differenziabili al second'ordine. (it) As identidades de Green formam um conjunto de três igualdades vetoriais envolvendo integrais. (pt) 格林恆等式（Green's identities）乃是向量分析的一組共三條恆等式，以發現格林定理的英國數學家喬治·格林命名。 (zh) |
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| dbp:title | Green formulas (en) |
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| rdfs:comment | A matemàtiques, les Identitats de Green són un conjunt de desigualtats en càlcul vectorial. Anomenades així en honor del matemàtic George Green, el mateix que va descobrir el Teorema de Green. (ca) Greenovy identity jsou souborem tří identit ve vektorové analýze. Jsou pojmenovány po matematikovi Georgovi Greenovi, který objevil tzv. Greenovu větu. (cs) In mathematics, Green's identities are a set of three identities in vector calculus relating the bulk with the boundary of a region on which differential operators act. They are named after the mathematician George Green, who discovered Green's theorem. (en) En matemáticas, las identidades de Green son un conjunto de igualdades en cálculo vectorial. Nombradas así en honor del matemático George Green, el mismo que descubrió el teorema de Green. (es) En analyse les identités de Green sont trois identités du calcul vectoriel reliant une intégrale définie dans un volume et celle définie sur le bord de ce volume. Ces relations sont dues à George Green. (fr) 数学においてグリーンの恒等式（グリーンのこうとうしき、英: Green's identities）とは、ベクトル解析に現れる三つの恒等式のことを言う。グリーンの定理を発見した数学者のジョージ・グリーンの名にちなむ。 (ja) Le identità di Green, il cui nome è dovuto a George Green, sono due corollari del teorema della divergenza per funzioni continue e differenziabili al second'ordine. (it) As identidades de Green formam um conjunto de três igualdades vetoriais envolvendo integrais. (pt) 格林恆等式（Green's identities）乃是向量分析的一組共三條恆等式，以發現格林定理的英國數學家喬治·格林命名。 (zh) In der Mathematik, speziell der Vektoranalysis, sind die beiden greenschen Formeln (manchmal auch greensche Identitäten, greensche Sätze oder Theoreme) spezielle Anwendungen des gaußschen Integralsatzes. Sie sind benannt nach dem Mathematiker George Green. Anwendung finden sie unter anderem in der Elektrostatik bei der Berechnung von Potentialen. Die Formeln sind nicht zu verwechseln mit dem Satz von Green, bei dem es um ebene Integrale geht. (de) |
| rdfs:label | Identitats de Green (ca) Greenovy identity (cs) Greensche Formeln (de) Green's identities (en) Identidades de Green (es) Identités de Green (fr) Identità di Green (it) グリーンの恒等式 (ja) Identidades de Green (pt) 格林恆等式 (zh) |
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