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smoothing an analytical function

Michael Rembe Certified Consultant

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Hello,

I have an analytical function m'=k*(cs-c). k, cs, c are arguments, that's why I can use analytical function, only (not piecewise f.i.). m' gets negative for c>cs. What I need is a function m'=max(k*(cs-c),0) with a smooth transition from k*(cs-c) to 0. k*(cs-c) is a straight falling line. k is a constant, cs is a function of T, and c is a variable to solve for.

Is there anybody who has a good idea?

Thank you very much!
Michael

2 Replies Last Post 14.07.2011, 10:10 GMT-4

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Posted: 1 decade ago 13.07.2011, 12:26 GMT-4
Michael,

If I understand correctly, I think you can make it work by multiplying your desired function by a step function where the argument of the step function is c-cs. Then, if c < cs, the argument is positive, and the step function should return a value of +1. If c > cs, the step function should return a zero.

Chris
Michael, If I understand correctly, I think you can make it work by multiplying your desired function by a step function where the argument of the step function is c-cs. Then, if c < cs, the argument is positive, and the step function should return a value of +1. If c > cs, the step function should return a zero. Chris

Michael Rembe Certified Consultant

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Posted: 1 decade ago 14.07.2011, 10:10 GMT-4
Hi Chris,
thank you very much! Your tip is quit right and so simple! It works fine!

Michael
Hi Chris, thank you very much! Your tip is quit right and so simple! It works fine! Michael

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