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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) . If you like this video, consider subscribing to the channel or consider buying me a coffee: Thanks! This animation is based on a visual proof by Bikash Chakraborty from volume 41 issue no. 56 of the Mathematical Intelligencer in 2019 () Here is wide format, high def, slightly longer version: For two visual proofs of a more general version of this inequality, see ; ; and #math #inequality #manim #animation #theorem #pww #proofwithoutwords #visualproof #proof #iteachmath #calculus #mathshorts #mathvideo #mtbos #euler #pi #pida
