If then

. So the proposition is true.

If then let .

Then . So the proposition is false.

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- Jun 24th 2007, 11:02 PM #1

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- Jun 24th 2007, 11:47 PM #2

- Jun 25th 2007, 02:41 AM #3

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- Jun 25th 2007, 05:06 AM #4

- Jun 25th 2007, 05:22 AM #5

- Jun 25th 2007, 05:40 AM #6

- Jun 25th 2007, 07:37 AM #7

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- Jun 25th 2007, 06:34 PM #8

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results from AM-GM inequality.

Inequality of arithmetic and geometric means - Wikipedia, the free encyclopedia

- Jun 25th 2007, 06:45 PM #9

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Actually that is Cauchy-Swartz

- Jun 25th 2007, 08:06 PM #10

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- Jun 25th 2007, 08:10 PM #11

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- Jun 25th 2007, 08:48 PM #12

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- Jun 25th 2007, 09:36 PM #13

- Jun 26th 2007, 03:53 AM #14

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