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Linearization representation

Theorem

X,Y … Banach spaces with topology
f∈C(X,Y)
postulate f(x+y)=f(x)+∫10 Df(x+t y)⋅y dt

Discussion

f(x)=f(0)+∫10 Df(t x)⋅x dt

Reference

Parents

Context

Fréchet derivative, Function integral

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