Stephen Tashi
Science Advisor
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Give a parametric equation for a curve in 2 dmiensions (x(t),y(t)) it may sometimes be possible to rotate or otherwise transform coordinates so that the tranformed curve becomes a function y = f(x) (as opposed to merely a relation such as x^2 = y^2 + 1). More generally, if we have a curve defined by a vector valued function of a vector of parameters, it may be possible to change coordinates to reduce it to a vector valued function with smaller dimensions in the argument vector. Is there an organized mathematical procedure for doing this? - some famous algorithm?