Initiation à la théorie des distributions

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Initiation à la théorie des distributions

Coursera · Intermediate ·🔢 Mathematical Foundations ·3mo ago

Skills: ML Maths Basics90%

Key Takeaways

Introduces the theory of distributions to solve differential equations and define the Dirac mass and its derivatives

Original Description

Une fonction discontinue peut-elle être solution d'une équation différentielle? Comment définir rigoureusement la masse de Dirac (une "fonction" d'intégrale un, nulle partout sauf en un point) et ses dérivées? Peut-on définir une notion de "dérivée d'ordre fractionnaire"? Cette initiation aux distributions répond à ces questions - et à bien d'autres.

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