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/s00283-018-9816-4)
Here is wide format, high def, slightly longer version: https://youtu.be/I7wiS9rH2h0
For two visual proofs of a more general version of this inequality, see
https://youtu.be/JE_YeVlSqLY ;
https://youtu.be/SaYs856QYlI ;
and
https://youtu.be/DOcsgckdvxU
#math #inequality #manim #animation #theorem #pww #proofwithoutwords #visualproof #proof #iteachmath #calculus #mathshorts #mathvideo #mtbos #euler #pi #piday
To learn more about animating with manim, check out:
https://manim.community
If you like this video, consider subscribing to the channel or consider buying me a coffee: https://www.buymeacoffee.com/VisualProofs. Thanks!
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/s00283-018-9816-4)
Here is wide format, high def, slightly longer version: https://youtu.be/I7wiS9rH2h0
For two visual proofs of a more general version of this inequality, see
https://youtu.be/JE_YeVlSqLY ;
https://youtu.be/SaYs856QYlI ;
and
https://youtu.be/DOcsgckdvxU
#math #inequality #manim #animation #theorem #pww #proofwithoutwords #visualproof #proof #iteachmath #calculus #mathshorts #mathvideo #mtbos #euler #pi #piday
To learn more about animating with manim, check out:
https://manim.community