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kencheng

Is there a (short) proof about why we can't have all three?

alexz

What is natural spline exactly? Is it we have 2nd derivative constraints?

arshbuch

I think this gives a pretty intuitive explanation of cubic splines and natural cubic splines: https://www.math.ntnu.no/emner/TMA4215/2008h/cubicsplines.pdf

seanxu

Is there any example to illustrate the effects of having C2 continuity? I can't really see why would we want more than C1