Gateaux derivative
In mathematics, the Gateaux differential or Gateaux derivative is a generalization of the concept of directional derivative in differential calculus. Named after René Gateaux, 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 Gateaux differential is often used to formalize the functional derivative commonly used in the calculus of variations and physics.
Asplund spaceBanach spaceDerivativeDifferentiable vector-valued functions from Euclidean spaceDifferential (infinitesimal)Differential of a functionDifferentiation in Fréchet spacesDirectional derivativeFaà di Bruno's formulaFirst variationFréchet derivativeFréchet spaceGateaux differentialGateaux gradientGateaux variationGeneralizations of the derivativeGâteauxGâteaux derivativeGâteaux differentialGâteaux gradientGâteaux variationHadamard derivativeHahn–Banach theoremHamilton–Jacobi equationHolomorphic functionHomogeneous functionHyperelastic materialInfinite-dimensional holomorphyLagrangian mechanicsMountain pass theoremPalais–Smale compactness conditionQuasi-derivativeRené GateauxRobust statisticsSemi-differentiabilityTransportation theory (mathematics)
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Gateaux derivative
In mathematics, the Gateaux differential or Gateaux derivative is a generalization of the concept of directional derivative in differential calculus. Named after René Gateaux, 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 Gateaux differential is often used to formalize the functional derivative commonly used in the calculus of variations and physics.
has abstract
De Gâteauxafgeleiden spelen in ...... ook wel functionele afgeleide.
@nl
En matemàtiques, la derivada d ...... Gâteaux d'una funció pot ser .
@ca
In mathematics, the Gateaux di ...... ability in nonlinear analysis.
@en
Pochodna Gâteaux lub różniczka ...... ciągły w analizie nieliniowej.
@pl
Нехай G, Y — локально опуклі т ...... охідною Гато) і позначається .
@uk
Произво́дная Гато́ расширяет к ...... ика (фр. René Eugène Gâteaux).
@ru
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
数学上,加托导数(英文: Gâteaux derivativ ...... ,特别是量子场论。和其他形式的导数不同,加托导数是非线性的。
@zh
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first
V.M.
@en
id
G/g043390
@en
last
Tikhomirov
@en
title
Gâteaux variation
@en
wikiPageUsesTemplate
comment
De Gâteauxafgeleiden spelen in ...... ook wel functionele afgeleide.
@nl
En matemàtiques, la derivada d ...... Gâteaux d'una funció pot ser .
@ca
In mathematics, the Gateaux di ...... lus of variations and physics.
@en
Pochodna Gâteaux lub różniczka ...... rachunku wariacyjnym i fizyce.
@pl
Нехай G, Y — локально опуклі т ...... охідною Гато) і позначається .
@uk
Произво́дная Гато́ расширяет к ...... ика (фр. René Eugène Gâteaux).
@ru
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
数学上,加托导数(英文: Gâteaux derivativ ...... ,特别是量子场论。和其他形式的导数不同,加托导数是非线性的。
@zh
label
Derivada de Gâteaux
@ca
Gateaux derivative
@en
Gâteaux-Differential
@de
Gâteaux-afgeleide
@nl
Pochodna Gâteaux
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Похідна Гато
@uk
Производная Гато
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ガトー微分
@ja
加托導數
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