Скачать с ютуб Why is Pi here? | Half factorial without Gamma function в хорошем качестве

Why is Pi here? | Half factorial without Gamma function

At 3:27 it should be (x+1)! = (x+1)x! At 4:14 the angle on the right is 120° At 11:11 B1 should be 2R A video question that I had for a long time and found almost no answer to. So I made one. We find a general formula for the volume of n-dimensional hyperspheres and use that to extend the factorial to half integers. Hint: snıpɐɹ uı ǝƃuɐɥɔ ʎuıʇ Further material:    • But why is a sphere's surface area fo...   ===Chapters=== 0:00 Introduction 3:43 n-Spheres and n-Balls 6:11 Deriving the recursive formulas 9:31 Putting it all together 12:42 Conclusion ===Made with=== Manim (https://www.manim.community/) ===Music=== In order of Appearance: Home - We're finally landing   / home-2001   Music by Vincent Rubinetti Download the music on Bandcamp: https://vincerubinetti.bandcamp.com/a... Stream the music on Spotify: https://open.spotify.com/playlist/3zN... C418 - Beton, AMS https://c418.org/ https://c418.bandcamp.com/ ===Tags===