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if one wants to represent a parametric curve in a N-dimensional vector space, the straightforward way is to express it as:

[tex]\mathbf{v} = f_1(t)\mathbf{e}_1 + \ldots + f_n(t)\mathbf{e}_n[/tex]

However there are infinite representations!

I could make any substitution [tex] t = g(t)[/tex] as long asgis invertible and I would get the same curve in the space.

How should a curve (or surface) be expressed in a general way, independent of the type of parametrization?

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# How to represent a parametric curve?

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