### Some articles on *teaux derivative, teaux, derivative*:

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... At each point u ∈ U, the Gâ

**teaux Derivative**- Linearity and Continuity... At each point u ∈ U, the Gâ

**teaux**differential defines a function This function is homogeneous in the sense that for all scalars α However, this ... Furthermore, for Gâ**teaux**differentials that are linear and continuous in ψ, there are several inequivalent ways to formulate their continuous differentiability ... function F of two real variables defined by This is Gâ**teaux**differentiable at (0, 0), with its differential there being However this is continuous but not linear in the arguments (a,b) ...Gâ

... In mathematics, the Gâ

**teaux Derivative**... In mathematics, the Gâ

**teaux**differential or Gâ**teaux derivative**is a generalization of the concept of directional**derivative**in differential calculus ... Named after René Gâ**teaux**, a French mathematician who died young in World War I, it is defined for functions between locally convex topological vector spaces ... Like the Fréchet**derivative**on a Banach space, the Gâ**teaux**differential is often used to formalize the functional**derivative**commonly used in the calculus of ...### Famous quotes containing the word derivative:

“Poor John Field!—I trust he does not read this, unless he will improve by it,—thinking to live by some *derivative* old-country mode in this primitive new country.... With his horizon all his own, yet he a poor man, born to be poor, with his inherited Irish poverty or poor life, his Adam’s grandmother and boggy ways, not to rise in this world, he nor his posterity, till their wading webbed bog-trotting feet get talaria to their heels.”

—Henry David Thoreau (1817–1862)

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