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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