differentiable in the Oxford-Hachette French Dictionary

Translations for differentiable in the French»English Dictionary

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differentiable
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English
So differentiable structures on a manifold is an example of topology.
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A function is (totally) differentiable if its total derivative exists at every point in its domain.
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Though the derivative of a differentiable function never has a jump discontinuity, it is possible for the derivative to have an essential discontinuity.
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In some sense a diffeology generalizes the concept of smooth charts in a differentiable manifold.
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For example, a function with a bend, cusp, or vertical tangent may be continuous, but fails to be differentiable at the location of the anomaly.
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Also, if "u" is differentiable in the conventional sense then its weak derivative is identical (in the sense given above) to its conventional (strong) derivative.
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It also has a standard differentiable structure on it, making it a differentiable manifold.
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First, it implies that a function which is holomorphic in an open set is in fact infinitely differentiable there.
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In geometry and topology, all manifolds are topological manifolds, possibly with additional structure, most often a differentiable structure.
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The property also means that every fundamental solution of an elliptic operator is infinitely differentiable in any neighborhood not containing 0.
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