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A Visual Proof of the Cauchy-Schwarz Inequality in 2D

This illustrates the Cauchy-Schwarz inequality in two dimensions, which states:
.
The gray area on the left is . The same gray area in the right hand image is . For , , hence the inequality.

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DETAILS

This image is from S. H. Kung, "Proof without Words: The Cauchy-Schwarz Inequality," Mathematics Magazine, 81(1), 2008 p. 69.

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"A Visual Proof of the Cauchy-Schwarz Inequality in 2D" from the Wolfram Demonstrations Project
 http://demonstrations.wolfram.com/AVisualProofOfTheCauchySchwarzInequalityIn2D/
Contributed by: Chris Boucher




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