Gâteaux derivative
In mathematics, the Gâteaux differential or Gâteaux derivative is a generalization of the concept of directional derivative in differential calculus. Named after René Gâteaux, a French mathematician who died young in World War I, it is defined for functions between locally convex topological vector spaces such as Banach spaces. Like the Fréchet derivative on a Banach space, the Gâteaux differential is often used to formalize the functional derivative commonly used in the calculus of variations and physics.
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Gâteaux derivative
In mathematics, the Gâteaux differential or Gâteaux derivative is a generalization of the concept of directional derivative in differential calculus. Named after René Gâteaux, a French mathematician who died young in World War I, it is defined for functions between locally convex topological vector spaces such as Banach spaces. Like the Fréchet derivative on a Banach space, the Gâteaux differential is often used to formalize the functional derivative commonly used in the calculus of variations and physics.
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Das Gâteaux-Differential, bena ...... dlichdimensionale Vektorräume.
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De Gâteauxafgeleiden spelen in ...... ook wel functionele afgeleide.
@nl
In mathematics, the Gâteaux di ...... ability in nonlinear analysis.
@en
Pochodna Gâteaux lub różniczka ...... ciągły w analizie nieliniowej.
@pl
Произво́дная Гато́ расширяет к ...... то́ (фр. René Eugène Gâteaux).
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假设 和 是局部凸拓扑向量空间,(例如巴拿赫空间), 是開集 ...... 稱 為在 的加托導數。 称 是在 中连续可微的若 是连续的。
@zh
数学におけるガトー微分(ガトーびぶん、英: Gâteaux ...... 解析学における連続的可微分性など、から従うということも多い。
@ja
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Gâteaux variation
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Das Gâteaux-Differential, bena ...... dlichdimensionale Vektorräume.
@de
De Gâteauxafgeleiden spelen in ...... ook wel functionele afgeleide.
@nl
In mathematics, the Gâteaux di ...... lus of variations and physics.
@en
Pochodna Gâteaux lub różniczka ...... rachunku wariacyjnym i fizyce.
@pl
Произво́дная Гато́ расширяет к ...... то́ (фр. René Eugène Gâteaux).
@ru
假设 和 是局部凸拓扑向量空间,(例如巴拿赫空间), 是開集 ...... 稱 為在 的加托導數。 称 是在 中连续可微的若 是连续的。
@zh
数学におけるガトー微分(ガトーびぶん、英: Gâteaux ...... 解析学における連続的可微分性など、から従うということも多い。
@ja
label
Gâteaux derivative
@en
Gâteaux-Differential
@de
Gâteaux-afgeleide
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Pochodna Gâteaux
@pl
Производная Гато
@ru
ガトー微分
@ja
加托導數
@zh