@Alec Mihailovs I think there are still some badges problems to be ironed out. 

Regarding not getting upvoted for your given answer, what did you do before when there was no vote system?  So why should no upvotes change that way of thinking.  Well, I guess the psychology of the voting system can inadvertantly affect anyones thoughts on the matter.  Kind of like quantum physics, the very act of measuring the system changes the outcome. 

I would have never thought no upvotes would be looked at negatively.  What would happen if you got a down vote?  Luckily they are being abolished, downvotes sting ones psychie.  I suppose if you expect to get up voted and don't get any at all, I can see how that can be looked at in a negative light. 

For me I expect to get no votes, so when I do, I'm happy, but when I don't then it's okay but if I get downvoted then because my expectation was for no votes then I would be unhappy.   

This is good Alec.  Thanks!  I wonder if we could tweak out that hiccup between pts 9 and 10?

Nice!  That's much better than the mess I came up with.  All I did was piece together parabola halves resulting in bumpiness at all inflection points, but it did take care of the local max and min overshoots. 

Download bumpy_curve.mw

Nice!  That's much better than the mess I came up with.  All I did was piece together parabola halves resulting in bumpiness at all inflection points, but it did take care of the local max and min overshoots. 

Download bumpy_curve.mw

@longrob That did look promising but the characteristics of it mentioned that points on a segment may lie outside of the domain.  This is what I would like to avoid. 

Doug mentioned that b-spline is meant to compensate for overshoots.  I tried BSplineCurve using the knots option and it seems to help but not quite.  I think that's what mathematica uses in its listinterpolation but I couldn't exactly understand how the knots worked. 

If local maximums and local minimums were points of concavity I think everything would fall into place.  I tried combining multiple splines of sublists within the list but that produced the same results.

@longrob That did look promising but the characteristics of it mentioned that points on a segment may lie outside of the domain.  This is what I would like to avoid. 

Doug mentioned that b-spline is meant to compensate for overshoots.  I tried BSplineCurve using the knots option and it seems to help but not quite.  I think that's what mathematica uses in its listinterpolation but I couldn't exactly understand how the knots worked. 

If local maximums and local minimums were points of concavity I think everything would fall into place.  I tried combining multiple splines of sublists within the list but that produced the same results.

So maybe the Cubic Hermite Spline (cspline) is what I need.  From the wikipedia page link Alec provided the finite difference method or finite difference tangents looks promising.  I just need to interperet all that algebra (makes my head spin) into maple code. 

I would need some help creating this cspline procedure. 

So maybe the Cubic Hermite Spline (cspline) is what I need.  From the wikipedia page link Alec provided the finite difference method or finite difference tangents looks promising.  I just need to interperet all that algebra (makes my head spin) into maple code. 

I would need some help creating this cspline procedure. 

How Abraham is able to elude all efforts to stop his postings bothers me as well.  I would think it would be as simple as coding his username string into an access/permission denied.  It is appears that he is very persistent or maybe it's a bot cycling through all of the mapleprimes posts? 

I tried the best I could with paint to try to illustrate what I mean.

Everywhere, where the thick red line is, is roughly where the curve should be.  And the thin blue lines are meant to be tangents of the curves at that point.  I hope someone can see how I mean to trim the curve a little more to fit even better.  That is what I meant by an exact fit.

I've decrypted the downthumb to mean that, unfortunately, no, it is not possible to get an exact curve fitting line.

I didn't realize these update conversions existed.  Thanks for the links

I didn't realize these update conversions existed.  Thanks for the links

@Alec Mihailovs yes a small reversal I overlooked last night. 

@Alec Mihailovs yes a small reversal I overlooked last night.