An IMPOSSIBLE function - The Dirac delta

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FurroFisico

Published on Sep 14, 2023
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#mmynoetherawards #functional #mathematics The Dirac delta is one of those functions that seems impossible, it is so rare that anyone would think that its use is limited to a few cases. But, without going any further, this function allows us to model various physical and mathematical phenomena that we could not otherwise. In this video we will take a look at how the Dirac delta can help us understand what forces occur in collisions between objects, a very complicated phenomenon to understand even today. We will also discuss applications in electromagnetism and signal processing. We will delve into the mathematics of this function and its properties. Why is it so useful? What does it allow us to do? This video was made in collaboration with: / nerifurr My social networks where you can find more science are: Twitter: / furrofisico Discord: / discord The GitHub repository: https://github.com/luisgotsky/delta-d... Video content: 0:00 - Introduction 2:21 - Change of perspective 3:54 - Other functions with which to obtain the Dirac delta 5:47 - The integral property 9:22 - Taking values ​​​​of a function of the integral 11:01 - Changing intervals 11:50 - The Kronecker delta 13:00 - Applications 13:52 - Outro

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