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Computational analysis of the Schwarz's Theorem

In this handbook we face the famous Schwarz's theorem from the graphical-computational point of view. Precisely, after having studied the behavior of the mixed derivatives of the second order of an assigned function, demonstrating their non-continuity, we proceed graphically (with Mathematica) in order to dramatically highlight the singularity of the single derivatives.

Argomenti:

Schwarz’s theorem

Numerical example

Analysis with Mathematica

Sostienici

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Tags: partial derivative, Schwarz's Theorem