Uploaded December 2025 | Updated September 2026, 2 weeks ago
This is a short, animated visual proof demonstrating the arithmetic mean quadratic mean (or root mean square) inequality for two and three variables using rectangles and rectangular prisms.
If you like this video, consider subscribing to the channel or consider buying me a coffee: buymeacoffee.com/VisualProofs. Thanks!
The visual proof in this video is based on a proof without words by David Treeby from the June 2022 issue of Mathematics Magazine ( tandfonline.com/doi/full/10.1080/0025570X.2022.2054650 page 241).
For other visual proofs of inequalities check out this playlist:
youtube.com/playlist?list=PLZh9gzIvXQUuKcFHdtjFkwAVELDxu9nH4&si=f4AHNOU1iTWO8Xb_
#mathshorts #mathvideo #math #amqminequality #mtbos #manim #animation #theorem #pww #proofwithoutwords #visualproof #proof #iteachmath #inequality #arithmeticmean #quadraticmean #rootmeansquare #prism #cuboid
To learn more about animating with manim, check out:
https://manim.community
This is a short, animated visual proof demonstrating the arithmetic mean quadratic mean (or root mean square) inequality for two and three variables using rectangles and rectangular prisms.
If you like this video, consider subscribing to the channel or consider buying me a coffee: buymeacoffee.com/VisualProofs. Thanks!
The visual proof in this video is based on a proof without words by David Treeby from the June 2022 issue of Mathematics Magazine ( tandfonline.com/doi/full/10.1080/0025570X.2022.2054650 page 241).
For other visual proofs of inequalities check out this playlist:
youtube.com/playlist?list=PLZh9gzIvXQUuKcFHdtjFkwAVELDxu9nH4&si=f4AHNOU1iTWO8Xb_
#mathshorts #mathvideo #math #amqminequality #mtbos #manim #animation #theorem #pww #proofwithoutwords #visualproof #proof #iteachmath #inequality #arithmeticmean #quadraticmean #rootmeansquare #prism #cuboid
To learn more about animating with manim, check out:
https://manim.community
