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:

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or this playlist: [ Ссылка ]

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 ([ Ссылка ] p. 118)

To learn more about animating with manim, check out:
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Music in this episode:
Procession -- Geographer

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