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differentiable

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On the other hand, two positive integrable and infinitely differentiable functions may have a nowhere continuous convolution. en.wikipedia.org

It also has a standard differentiable structure on it, making it a differentiable manifold. en.wikipedia.org

Mathematicians also study weak solutions (relying on weak derivatives), which are types of solutions that do not have to be differentiable everywhere. en.wikipedia.org

First, it implies that a function which is holomorphic in an open set is in fact infinitely differentiable there. en.wikipedia.org

If the derivative exists everywhere, the function is differentiable. en.wikipedia.org

In some sense a diffeology generalizes the concept of smooth charts in a differentiable manifold. en.wikipedia.org

Somewhat surprisingly, a differential equation may have solutions which are not differentiable; and the weak formulation allows one to find such solutions. en.wikipedia.org

A differentiable function of one variable is convex on an interval if and only if its derivative is monotonically non-decreasing on that interval. en.wikipedia.org

Though the derivative of a differentiable function never has a jump discontinuity, it is possible for the derivative to have an essential discontinuity. en.wikipedia.org

Also, monsters (nowhere continuous functions, continuous but nowhere differentiable functions, space-filling curves) began to be investigated. en.wikipedia.org

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