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This part has cropped up as part of a small project i am doing on Cosmic microwave background.

How would i go about minimizing the function

f(x[tex]_{1}[/tex],x[tex]_{2}[/tex]....x[tex]_{n}[/tex])=[tex]\Sigma[/tex]*x[tex]_{i}[/tex]*a[tex]_{i}[/tex]

subject to the constraint:

[tex]\Sigma[/tex] x[tex]_{i}[/tex]*(2*i+1)=constant

a[tex]_{i}[/tex] are constants