A Factorial Sum Produces the Factorial Number System (visual proof)
This is a short, animated visual proof demonstrating a finite sum involving products of factorials. The proof exploits the classic inductive proof of the formula in question. As a bonus, we discuss the factorial number system and show how the formula can be used to count up in this system.
If you like this video, consider subscribing to the channel or consider buying me a coffee: https://www.buymeacoffee.com/VisualPr.... Thanks!
This animation is based on a proofs by Tom Edgar from the December 2016 issue of Mathematics Magazine page 338 (https://doi.org/10.4169/math.mag.89.5....
If you want to know more about the factorial number system, check out https://en.wikipedia.org/wiki/Factori...
#mathvideo #math #numbertheory #mtbos #manim #animation #theorem #pww #proofwithoutwords #visualproof #proof #iteachmath #factorial #squares #factoradic #discretemath #inductionproof #induction #factorialnumbersystem #finitesums #sum #series
To learn more about animating with manim, check out:
https://manim.community
Смотрите видео A Factorial Sum Produces the Factorial Number System (visual proof) онлайн без регистрации, длительностью часов минут секунд в хорошем качестве. Это видео добавил пользователь Mathematical Visual Proofs 15 Июнь 2024, не забудьте поделиться им ссылкой с друзьями и знакомыми, на нашем сайте его посмотрели 12,403 раз и оно понравилось 710 людям.