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I am trying to find a function which will give me a family of curves similar to the one shown below. What I am hoping is that a single parameter will control whether the curve starts out slow (like the blue one) or whether the curve starts out fast (like the green one) or whether it is a linear ramp.

Does anyone know of a class of curves like this?

I can find plenty of curves which behave similar to the blue curve (ex. arctan, erf) but none like the green one.

Thanks,

Orthogonal

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# Looking for a curve

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