Скачать с ютуб A wonderful proof to Brouwer's fixed point theorem using the Hex game | в хорошем качестве

A wonderful proof to Brouwer's fixed point theorem using the Hex game |

This video is in english because it is my SoME 2 project. I'll add french subtitles. I hope my accent isn't too awful. First error spoted at 1:52 : g is defined over [0, 1] to IR ! (and not to [0, 1], I forgot to change the animation text ...) link to David Gale's article : http://www.math.pitt.edu/~gartside/he... animations made using Manim : https://www.manim.community/ All the python code of the video will be added to my github account, so check it out if you're interested. Here is the link to my github : https://github.com/MatheFysyk I hope you'll enjoy this video which took a little more than a month to make. If you have any suggestion or critic to help me and so that I can improve my work, don't hesitate to tell me. 00:00 Introduction 01:14 Fixed Points 03:20 Brouwer's Theorem 06:34 Hex Game 07:55 Hex Theorem 08:52 Hex Theorem Proof 11:30 Hex Theorem Recap and Gale's Article 12:30 Brouwer's Theorem Proof 14:08 Uniform Continuity Visualization 16:08 End Of The Proof 21:01 Conclusion And Credits