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mfb

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my fault, the 6 variables along with two others that i've managed to simplify in the expressions verifies a orthonormalization conditition :The functions are clearly maximized if all variables become 1..

a^2+b^2+c^2+d^2=1 and aA+bB+cC+dD=0 . and here are the ramaining constraints : Ac+Bd=Ab+Cd=0 and ac+AC+bd+BD=ab+AB+cd+CD=0. the set that i want to proof it's optimality and which verify the above conditions is {a=1,b=c=d=0, A=D=0}.

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mfb

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From looking at it: a=

There are 6 constraints on 8 variables, unless you need a mathematical proof most algorithms should quickly find all local maxima.

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mfb

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Where does that come from now?A^2+B^2=1 (first constraint)

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mfb

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