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This is a short, animated visual proof demonstrating which of the values e^pi or pi^e is larger (where pi is the circle constant and e is Euler's constant) . #math #inequality #manim #animation #theorem #pww #proofwithoutwords #visualproof #proof #iteachmath #calculus #mathshorts #mathvideo #mtbos #euler #pi #piday
This animation is based on a visual proof by Bikash Chakraborty from volume 41 issue no. 56 of the Mathematical Intelligencer in 2019 ([ Ссылка ])
For two visual proofs of a more general version of this inequality, see
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and
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To learn more about animating with manim, check out:
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Music in this video:
Meeting Again by Emily A. Sprague
