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- To: "MLUG Off-Topic Discussion" <EMAIL:PROTECTED>
- Subject: Re: [MLUG - DISCUSSION] the Rearrangement Inequality
- From: "Jonathan King" <EMAIL:PROTECTED>
- Date: Wed, 2 Aug 2006 13:18:27 -0400
- Delivery-date: Wed, 02 Aug 2006 11:19:52 -0500
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On 8/1/06, Stephen Montgomery-Smith <EMAIL:PROTECTED> wrote:
[Concerning the Rearrangment Inequality and Jensen's Inequality]
Both these inequalities are the bread and butter of my research. They
are both great inequalities, but I use them so much that they have
become almost like 1+1=2 to me.
At lunch today I read a short tutorial style article the Rearrangment
Inequality and some of the most basic stuff you can do with it, of
which the most powerful was to provide a trivial proof of Chebysev's
Inequality. So now I guess that proof for you would be sort of like n
+ n = 2n. :-)
In any case, I'm glad this stuff is at least a little bit important,
since it makes me feel like I'm not a total dolt.
The rearrangement inequality is fundamental to the
study of so called rearrangement invariant spaces, about which I have
many papers.
I'll have to check that stuff out at some point. It's ironic, but you
might just end up having to say something deep to say about microarray
data, after all.
jking
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