Interpolate Smoothly
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This Demonstration shows an interpolation function that connects three points smoothly, with a horizontal tangent at each point. If two or more of the points are aligned vertically, then no such function is possible.
Contributed by: Juergen Bosse (October 2012)
Open content licensed under CC BY-NC-SA
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"Interpolate Smoothly"
http://demonstrations.wolfram.com/InterpolateSmoothly/
Wolfram Demonstrations Project
Published: October 4 2012