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Übersetzungen für „differentiable“ im Englisch » Deutsch-Wörterbuch (Springe zu Deutsch » Englisch)

differentiable ADJ

Benutzereintrag
differentiable (function) MATH

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Englisch
Mathematicians also study weak solutions (relying on weak derivatives), which are types of solutions that do not have to be differentiable everywhere.
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Also, monsters (nowhere continuous functions, continuous but nowhere differentiable functions, space-filling curves) began to be investigated.
en.wikipedia.org
A function is (totally) differentiable if its total derivative exists at every point in its domain.
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A differentiable function of one variable is convex on an interval if and only if its derivative is monotonically non-decreasing on that interval.
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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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Since differentiable manifolds are topological spaces we know what it means for "f" to be continuous.
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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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If the derivative exists everywhere, the function is differentiable.
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So differentiable structures on a manifold is an example of topology.
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