Classification/terminology for shape of a curve

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Discussion Overview

The discussion revolves around the classification and terminology for describing the shape of a curve generated from a graph. Participants explore various terms and classifications that could accurately represent the curve's characteristics, including its growth and decay behaviors.

Discussion Character

  • Exploratory, Technical explanation, Conceptual clarification

Main Points Raised

  • One participant seeks a high-level classification for the curve, noting exponential growth at approximately x = 0.19.
  • Another participant suggests the curve could be described as "semi-sinusoidal about an apparently exponential decay," and also mentions "jagged" as a possible descriptor.
  • A different participant describes the curve as resembling a step response followed by exponential decay, estimating a characteristic time of about 0.1 horizontal units and a saturation value of about 23 vertical units, while also noting a noise level with an amplitude of about 2 vertical units.
  • Another participant compares the curve to a capacitor output curve following an impulse input voltage.

Areas of Agreement / Disagreement

Participants present multiple competing views on how to classify the curve, with no consensus reached on a single term or classification.

Contextual Notes

Participants express varying interpretations of the curve's shape, with some relying on specific characteristics like exponential decay and noise levels, while others propose more general terms. The discussion does not resolve the definitions or classifications proposed.

ATroelstein
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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...
 

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