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Nov 20th, 2002, 06:08 PM #3
bugzpodder

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(x₁²+x₂²+...+x_n²)(y₁²+y₂²+...+y_n²)=(x₁y₁+x₂y₂+...+x_ny_n)²

equality occurs when x₁:x₂:...:x_n=y₁:y₂:...:y_n

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The probability that a random rational number has an even denominator is 1/3 (Salamin and Gosper 1972)? This result is independently verified by me (2002)!
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