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## #1 2014-01-12 01:26:51

Agnishom
Real Member
From: Riemann Sphere
Registered: 2011-01-29
Posts: 24,856
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### Conditional Identities

If a^2 + b^2 + c^2 = 1

Then, fill up the following:

__ < ab+bc+ca < __

'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.

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## #2 2014-01-12 01:43:39

Nehushtan
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Registered: 2013-03-09
Posts: 915
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### Re: Conditional Identities

This is attained when

.

By the CauchySchwarz inequality,

This is attained when

.

Hence

.

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## #3 2014-01-12 14:44:18

Agnishom
Real Member
From: Riemann Sphere
Registered: 2011-01-29
Posts: 24,856
Website

### Re: Conditional Identities

thanks

'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.

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