Arithmetic Mean-Root Mean Square Inequality (visual proof)
This is a short, animated visual proof demonstrating the arithmetic mean - root mean square inequality using two adjacent squares.
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For other visual proofs of inequalities like this see:
• AM-GM Inequality IV (visual proof)
• AM-GM Inequality II (visual proof)
• Visual Proof of AM-GM Inequality I
• Mean Inequalities (visual proof of AM-GM, ...
• AM-GM Inequality III (visual proof)
or this playlist: • Inequalities
This animation is based on a visual proof from Juan-Bosco Romero Márquez that appeared in the March 2001 issue of the College Mathematics Journal (https://www.jstor.org/stable/2687116 p. 118)
To learn more about animating with manim, check out:
https://manim.community
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Music in this episode:
Procession -- Geographer