Because of the demands of differentiability in distribution theory, the spaces of test-functions and their duals are somewhat more complicated. |
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His work on functions of a real variable include results on functional series, differentiability of functions and Baire's classification. |
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This module is an exercise on the continuity and differentiability of real functions. |
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For example, the important distinctions between continuity and differentiability and between uniform and pointwise continuity seem to have no basis in intuition. |
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The conical differentiability of solutions with respect to the boundary variations is exploited. |
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A way to visualize differentiability is to interpret the function f as a mapping from one plane to another. |
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These functions are most widely used because of their easy differentiability but other variants are also possible. |
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The cubic spline interpolation procedure uses parts of third degree polynomials that are linked to the grid points by suitable conditions in such a way that continuous differentiability of the yield curve is ensured. |
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The book then returns to foundations with chapters on contiguity and L2 differentiability. |
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The sigmoid function is the most commonly used transfer function because of its differentiability. |
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Given the differentiability assumption, it is sufficient to show that the mixed partial derivatives between the choice of gift and parameters are weakly positive. |
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Also, we consider the concept of general differentiability for fuzzy functions and we plot the h-curve to illustrate the region of convergence in different levels. |
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Disruption, disintegration and the dissipation of differentiability. |
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Differentiability is a much more significant property for complex functions than for real functions. |
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