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About Legendre transformation

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About Legendre transformation

This is a question concerning the multi-variable Legendre transform.

http://en.wikipedia.org/wiki/Legendre_transformation
http://planetmath.org/encyclopedia/LegendreTransform.html

The planetmath link is actually out of order, and I couldn't check it.

Problem definition: g(p) is the transform of f(x), where x and p are real n-vectors. If there is a constraint h(x) = 0 on the vector x, reducing it to n-1 independent components, how does it translate to the p-vector?


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