Sunday, January 12, 2014

Transition Matrix Parameters for n States

  The solution for a transition matrix given in the last blog can be extended for an arbitrary number of dimensions. The constraints make some of the components redundant allowing us to solve a reduced set of equations and variables.

We find that the number of parameters is one less than the number of elements in P. This appears to be due to a extra constraint on the selection of the partial derivatives which results from p and p' lying on a plane normal to the vector Σ.

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