Differential form
In the mathematical fields of differential geometry and tensor calculus, differential forms are an approach to multivariable calculus that is independent of coordinates. Differential forms provide a unified approach to defining integrands over curves, surfaces, volumes, and higher-dimensional manifolds. The modern notion of differential forms was pioneered by Élie Cartan. It has many applications, especially in geometry, topology and physics. Likewise, a 3-form f(x, y, z) dx ∧ dy ∧ dz represents a volume element that can be integrated over a region of space.
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Differential form
In the mathematical fields of differential geometry and tensor calculus, differential forms are an approach to multivariable calculus that is independent of coordinates. Differential forms provide a unified approach to defining integrands over curves, surfaces, volumes, and higher-dimensional manifolds. The modern notion of differential forms was pioneered by Élie Cartan. It has many applications, especially in geometry, topology and physics. Likewise, a 3-form f(x, y, z) dx ∧ dy ∧ dz represents a volume element that can be integrated over a region of space.
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Der Begriff Differentialform ( ...... nzierbaren Mannigfaltigkeiten.
@de
Een differentiaalvorm is een o ...... onale reële Euclidische ruimte
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Em geometria diferencial, é um ...... enciais se deve a Elie Cartan.
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En geometría diferencial, la f ...... nciales se debe a Élie Cartan.
@es
En géométrie différentielle, u ...... introduites sont de classe C∞.
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Forma różniczkowa (krótko k-fo ...... ielowymiarowym w przestrzeni .
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In geometria differenziale e n ...... ticolare in analisi complessa.
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In the mathematical fields of ...... l is preserved under pullback.
@en
Дифференциа́льная фо́рма поряд ...... огообразии обычно обозначают .
@ru
微分形式是多变量微积分,微分拓扑和张量分析领域的一个数学概念 ...... 微分结构形成外代数的想法,都是由法国数学家埃里·嘉当引入的。
@zh
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Der Begriff Differentialform ( ...... nzierbaren Mannigfaltigkeiten.
@de
Een differentiaalvorm is een o ...... rische flux in de natuurkunde.
@nl
Em geometria diferencial, é um ...... k > n são identicamente nulas.
@pt
En geometría diferencial, la f ...... mas, 1-formas, ... y n-formas.
@es
En géométrie différentielle, u ...... tact ou encore les connexions.
@fr
Forma różniczkowa (krótko k-fo ...... ematycznego punktu widzenia. .
@pl
In geometria differenziale e n ...... euclideo di analoga dimensione
@it
In the mathematical fields of ...... grated over a region of space.
@en
Дифференциа́льная фо́рма поряд ...... огообразии обычно обозначают .
@ru
微分形式是多变量微积分,微分拓扑和张量分析领域的一个数学概念 ...... 微分结构形成外代数的想法,都是由法国数学家埃里·嘉当引入的。
@zh
label
Differentiaalvorm
@nl
Differential form
@en
Differentialform
@de
Forma diferencial
@es
Forma diferencial
@pt
Forma differenziale
@it
Forma różniczkowa
@pl
Forme différentielle
@fr
Дифференциальная форма
@ru
微分形式
@ja