If then

. So the proposition is true.

If then let .

Then . So the proposition is false.

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- Jun 25th 2007, 12:02 AM #1

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- Jun 25th 2007, 12:47 AM #2

- Jun 25th 2007, 03:41 AM #3

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

- Jun 25th 2007, 06:22 AM #5

- Jun 25th 2007, 06:40 AM #6

- Jun 25th 2007, 08:37 AM #7

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- Jun 25th 2007, 07:34 PM #8

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results from AM-GM inequality.

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

- Jun 25th 2007, 07:45 PM #9

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Actually that is Cauchy-Swartz

- Jun 25th 2007, 09:06 PM #10

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- Jun 25th 2007, 09:10 PM #11

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- Jun 25th 2007, 09:48 PM #12

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- Jun 25th 2007, 10:36 PM #13

- Jun 26th 2007, 04:53 AM #14

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