MHB Classification/terminology for shape of a curve

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The discussion revolves around classifying the shape of a generated curve that exhibits exponential growth and decay characteristics. The curve is described as resembling a step response followed by exponential decay toward a saturation level, with specific time and amplitude attributes noted. Observations include a characteristic time of approximately 0.1 horizontal units and a final saturation value around 23 vertical units. Additionally, the presence of noise with an amplitude of about 2 vertical units is acknowledged. The conversation highlights the need for precise terminology to describe complex curve shapes in data analysis.
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I have generated the graph shown below and now would like to describe it at a high-level according to the curved nature of the plotted line. Besides simply stating observations such as the exponential growth at approximately x = 0.19, is there a classification or term for the shape of the curve this line makes? Thank you.

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semi-sinusoidal about an apparently exponential decay?

EDIT: also, "jagged" works for me :)
 
ATroelstein said:
I have generated the graph shown below and now would like to describe it at a high-level according to the curved nature of the plotted line. Besides simply stating observations such as the exponential growth at approximately x = 0.19, is there a classification or term for the shape of the curve this line makes? Thank you.

View attachment 1096

Hi ATroelstein!

It looks like a step response followed by an exponential decay to some kind of saturation level.
Looks as if the exponential decay has a characteristic time of about 0.1 horizontal unit and a final saturation value of about 23 vertical units.
There appears to be a noise level on top of that with an amplitude of about 2 vertical units.
 
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