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.
 
Reminds me of a capacitor output curve after an impulse input voltage...
 
Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

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