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Terminology regarding splines

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I'm curious. Given a spline we can evaluate it's position at any point P=[0..1] along a segment. Does P have a name? Similarly, if we have a point P=[0..N] where N is the entire length of the spline, does that P have a name? I'm trying to make it easier to distinguish between position as a float and position as a point in some code I've written :)

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