I'm looking for a particular curve algorithm that is similar to to a bell curve/distribution, but instead of approaching zero at its ends, it stops at its length/limit. You specify the length of the curve of the curve and its maximum peak, and the plot will approach its peak at the midpoint of length(the middle) and then it curves downward to its end. As a math noob, I may not be making any sense. Here's an image of the curve I'm looking for:
Looking for the name of a Rising/Falling Curve
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calculus
plane-curves
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1Can you describe what the intended application is? – 2011-05-16
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0Sure, I'm interested in creating a curved duty cycle signal for some software that will send a signal to various electronics. Normally duty cycles use a square wave for HI/LO state over a period of time. Instead, I'd like the approach to the peak value to be curved/interpolated instead of an immediate jump(as performed in a square wave). I can make a graphic of the intended curve/signal if this explanation isn't clear. – 2011-05-16
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0Wouldn't the crest of a sinusoid be appropriate? – 2011-05-16
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0@J.M. - As in a Crest Factor? – 2011-05-17
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0If you plot $\sin x$, the part in the interval $[0,\pi]$ is a "crest". – 2011-05-17
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0@J.M. - This works! My biggest problem was specifying a fixed value for the length of the curve(aka wavelength). Now that I know the length of a positive crest is just $\pi$, I can compute accordingly. Thanks! – 2011-05-17