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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