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## #1 2008-01-08 19:54:23

tony123
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### find the maximum

let

be distinct real numbers such that

and

find the maximum value of

## #2 2010-12-11 23:45:32

bobbym

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### Re: find the maximum

Hi tony123;

In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

## #3 2011-04-04 14:18:55

bobbym

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### Re: find the maximum

Update to the above problem at the request of gAr to see my solution.

I was able to eliminate the numerical methods and come up with a quasi analytical method.

Using ac = bd

Using Lagrangian multipliers:

Adding the constraint ( 2 ) to the above equations:

Solving the simultaneous set of non linear equations:

Using b as a free parameter we can generate my original solution and all the rotations. Of course a is generated using ac = bd.

In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.