If those circles are control points, I'd probably guess this is a cubic spline. 
CoreGraphics has the ability to draw that if you need to.

This is a pretty good rundown:
http://cocoawithlove.com/2008/07/coregraphics-curves-and-lines-sample.html

On Mar 19, 2010, at 1:15 PM, Chris Wood wrote:

> See also gaussian curve/bell curve/s-curve... Although of course that was a 
> straight spline curve in the first pic. Splines will give you what you want, 
> but maybe not in the most simple way. 
> 
> Chris
> 
> 
> On 19 Mar 2010, at 19:52, Dan Winckler wrote:
> 
>> Thanks, Tom and Jon!  I remembered Grapher earlier today and it was a big 
>> help, even though polynomial curves are not among its examples (sure beats 
>> my old TI-82).  Now to tweak the numbers until they give me the shape I 
>> need.  Additional help still welcome if offered.  :)
>> 
>> best,
>> dan
>> 
>> 
>> 
>> <Screen shot 2010-03-19 at 3.49.57 PM.png>
>> 
>> 
>> On Mar 19, 2010, at 3:40 PM, Jon Pugh wrote:
>> 
>>> At 3:14 PM -0400 3/19/10, Dan Winckler wrote:
>>>> What do you call a curve like the one in the attached image?  Rather, 
>>>> what's the mathematical term for the equation that produces such a double 
>>>> curve.  I am trying to scale an incoming float number (0.0  1.0) so that 
>>>> it changes more quickly in the middle of the range (~0.2 - 0.8) than at 
>>>> the top and bottom (~ 0.0 - 0.2, 0.8 - 1.0).  Right now I've got 
>>>> exponential scaling, which works for the bottom of the range but not the 
>>>> top.
>>> 
>>> This is a curve produced by a polynomial equation.  I recommend opening the 
>>> application Grapher, which came with your Mac, and entering this equation: 
>>> x = y^3+y^2+y
>>> 
>>> This will give you a curve approximating the one you've drawn.  Then you 
>>> can play with adding numbers before the various terms (i.e. 3y^3, etc) to 
>>> change the shape of the curve.
>>> 
>>> Good luck.
>>> 
>>> Jon
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