Two Nonstandard Infinite Geometric Series (visual proof) скачать в хорошем качестве

Two Nonstandard Infinite Geometric Series (visual proof)

My previous wordless Wednesday video showing the sum of the powers of 1/7 generated some interesting questions about using the same technique for nonstandard geometric series. Here we include a short, animated visual proof demonstrating the infinite sum of the powers of 2/7 and 3/11; from these dissections, you should be able to generate a similar circular diagram for any rational number ratio r=a/b where the infinite sum will be between 0 and 1. These two series were explicitly mentioned by James Tanton and Dr. Barker. #mathshorts​ #mathvideo​ #math​ #calculus #mtbos​ #manim​ #animation​ #theorem​ #pww​ #proofwithoutwords​ #visualproof​ #proof​ #iteachmath #geometricseries #series #infinitesums #infiniteseries This animation was inspired by comments in a a proof by James Tanton from the March 2008 issue of The College Mathematics Journal page 106. (https://www.jstor.org/stable/27646594). To learn more about animating with manim, check out: https://manim.community ____________________________________________ Music in the video: The Great Battle by Alexander Nakarada | https://www.serpentsoundstudios.com Music promoted by https://www.free-stock-music.com Attribution 4.0 International (CC BY 4.0) https://creativecommons.org/licenses/...