Curves

Parametric graphs are only the image ,  I

Smoothness of the vector function is the approximation

where    uniformly in the fixed value of    when  .  On an explicit plot, this is equivalent to the magnified image of    appearing to coincide with  .  

The local linear graph has parametric equation

with fixed and the -origin at the point of tangency .

Created by Mathematica  (July 2, 2004)