e^Pi vs Pi^e : which is larger? (pi day battle)
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) .
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This animation is based on a visual proof by Bikash Chakraborty from volume 41 issue no. 56 of the Mathematical Intelligencer in 2019 (https://doi.org/10.1007/s00283-018-98...)
Here is wide format, high def, slightly longer version: • e^ Pi vs Pi^e: which is bigger? II A ...
For two visual proofs of a more general version of this inequality, see
• e^ Pi vs Pi^e: which is bigger? A Pi ... ;
• When is A^B greater than B^A I (visua... ;
and
• When is A^B greater than B^A II (visu...
#math #inequality #manim #animation #theorem #pww #proofwithoutwords #visualproof #proof #iteachmath #calculus #mathshorts #mathvideo #mtbos #euler #pi #piday
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