ChatGpt vs The Poincaré Conjecture (Millennium Problem)
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???? I put ChatGPT to the test, the New Artificial Intelligence improved with mathematical reasoning with the work of Grigori Perelman who SOLVED one of the MOST DIFFICULT Problems in the History of Mathematics, The Poincaré Conjecture, a Millennium Problem whose prize is One Million Dollars. ???? Complete HARVARD Level Calculus COURSE • Harvard Level Calculus 01.- Functions ... More videos that will HELP you ???????? https://www.youtube.com/c/MathRocks?s... ???? JOIN the CHANNEL discover 840 videos and 22 EXCLUSIVE complete COURSES / @mathrocks ???? Complete REAL Analysis COURSE • SAD that they DO NOT TEACH you this in ... The Poincaré conjecture is a geometry problem that is handled by topology. Topology is a branch of mathematics that deals with the study of the properties of geometric bodies that remain unchanged by continuous transformations. A simplistic but easy way to illustrate the concept is to say that it is the science that studies the geometric properties of a clay in the hands of a child. As long as the clay is not separated, glued or pierced, its two-dimensional geometry may change through compression or tension, but it will still be the same geometric set and therefore the mathematical resolution of the geometry of that clay will remain essentially the same. 0:00 Introduction to the Millennium Problems 3:10 Who is Grigori Perelman? 4:13 What is Differential Geometry? 7:50 What is the Ricci flow? 9:57 What does the Poincaré Conjecture say? 13:01 How does the Ricci flow apply to the Conjecture? 15:09 How did Perelman prove the Poincaré Conjecture? 18:36 Chatgpt vs Perelmán's demo ► COMPLETE MATH/mathrocks COURSES #poincare #perelman ???? FOLLOW ME on IG ►► themathrocks
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