MathGroup Archive: June 2011 [00487]

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How can I write the input code for a comparison

To: mathgroup at smc.vnet.net
Subject: [mg119828] How can I write the input code for a comparison
From: Nan <nzxos at yahoo.com>
Date: Fri, 24 Jun 2011 07:46:32 -0400 (EDT)

I need to compare
A=(6+4R+B^2 R-5R^2-R^3+R^4+B(R^2+R-2))
with
B=(6+4Î³+Î²^2 Î³-5Î³^2-Î³^3+Î³^4+Î²(Î³^2+Î³-2)),
where 0 < Î³ < R < 1,  0 < Î² < B < 1.

How can I do that by Mathematica? Can I use MinValue or FindMinvalue? That is, if the minimum value of A - B >0, then A>B. How can I write the input command so that I can include the constraint? Please help! Thanks a lot!

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