   Tweaking my sin curve
  I have not done math in a while, so I cannot remember how I can achieve this, but this is what I want:I have a function that takes a value between 0 and 1. Here is my function currently:f(x) = (sin(x*PI - PI/2) + 1.0) / 2.0This *almost* does what I want, since I want:f(x) to be 0   when x is 0f(x) to be 0.5 when x is 0.5f(x) to be 1   when x is 1But I want the curve to go a bit differently. Here is the image of what I have, and what I want:ClickyThe red line being the above function which I have, and the blue line being what I would like to have approximatly. Basically, I want the curve to be a bit shallower initially, then steeper suddenly. Can anyone tell me where I can put a variable in my current equation to get what I need?Many thanks!   
  What you need is a sigmoid function. The basic setup is:   1-------  1+e-xAdjust accordingly to your need.   ;  Your blue curve looks a bit like a shifted Langevin function.http://scienceworld.wolfram.com/physics/LangevinFunction.html   ;  Thanks!1/(1+E^(-20*(x-0.5))) seems to do it perfect   ;Quote:Original post by AiroYour blue curve looks a bit like a shifted Langevin function.http://scienceworld.wolfram.com/physics/LangevinFunction.htmlYea, I think that would work to, but I went with sigmoid function; it seems just right.   