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August 13th, 2007, 12:10 PM  #1 
Newbie Joined: Aug 2007 Posts: 2 Thanks: 0  Scurve equation
Can anyone provide info on how I can describe an Scurve with equations? I'm trying to describe a curve that drops below the xaxis and then rises up above and then levels off. Do I use Richards' or Loretnz' curve or something else? 
August 13th, 2007, 01:09 PM  #2 
Senior Member Joined: Nov 2006 From: I'm a figment of my own imagination :? Posts: 848 Thanks: 0 
How about f(x)=x/cosh(x), where cosh(x):=(e^x+e^x)/2 is the hyperbolic cosine function? Is that the type of curve you were thinking about? What size do you want the scurve to be? Specifically, if the highest part of the graph is at (x_0,y_0), then what (approximate) values do you want for x_0 and y_0?

August 13th, 2007, 02:32 PM  #3 
Newbie Joined: Aug 2007 Posts: 2 Thanks: 0 
Hmmm never thought about it that way  its a start but the curve is not likely to be as rigid as this. Basically the xaxis represents time and the yaxis represents cash  it is essentially a cashflow profile over time.

August 13th, 2007, 02:46 PM  #4 
Senior Member Joined: Nov 2006 From: I'm a figment of my own imagination :? Posts: 848 Thanks: 0 
Could yoube a little more specific in terms of what you want in your scurve? I assume that you are looking for an approximation, rather than an exact curve, and the curve I gave can be adjusted considerably, in terms of position, maximum height, how quickly it drops, etc.

August 14th, 2007, 06:04 AM  #5 
Global Moderator Joined: Dec 2006 Posts: 19,500 Thanks: 1739 
What is the slope of the curve at the places where it intersects the xaxis? In terms of those intersections, what are the value of x for the curve's turning points? 

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