Convolution, Fourier Transforms and Sinc Integrals скачать в хорошем качестве

Convolution, Fourier Transforms and Sinc Integrals

In this video, we see why Sinc integrals play an important role in Fourier transforms. This study reveals how Convolutions and Fourier transforms can be used to give geometric proofs to a variety of integrals related the Sinc functions. We also explain the strange pattern of Borwein Integrals. With Grant Sanderson's (from 3Blue1Brown) MIT lectures on 'Convolutions', this video would provide a nice intuition both Convolution process and Fourier Transforms, Manim code for the video is available at https://github.com/ActOfLearning/Mani... Borwein Integrals: http://schmid-werren.ch/hanspeter/pub... Hope you enjoy it and please do share your comments on improving any aspect of the video. Thank you. ------------------------------------------------------------------- Act of Learning is an YouTube Channel about exploring some of the mind blowing ideas in math. More importantly, rather than just solving problems, we try to understand the underlying concepts using the problems merely as examples. The name of the channel is an excerpt from a quote by Gauss, the Prince of Mathematics and my second favorite of all mathematicians. He said "It is not knowledge but the act of learning that grants the greatest enjoyment". 100% correct. You know what YouTube is like. So please Like, Share and Subscribe the Channel, and show us your continued support. ------------------------------------------------------------------- Some of Channels that inspired me to do something of my own list in alphabetical order: 3Blue1Brown -    / @3blue1brown   Mathologer -    / @mathologer   Numerphile -    / @numberphile   Stand-Up Maths -    / @standupmaths   ------------------------------------------------------------------- This video (hopefully all my videos in the future) was made using Manim created by '3b1b' Grant Sanderson. Here are some of the links that you will find useful in learning Manim. Github - https://github.com/3b1b/manim Talking Physics - https://talkingphysics.wordpress.com/... Theorem of Beethoven - (i)    / @theoremofbeethoven   (ii) https://github.com/Elteoremadebeethoven