Classification/terminology for shape of a curve

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In summary, the graph shows a step response followed by an exponential decay to a saturation level, with a characteristic time of 0.1 horizontal units and a final saturation value of 23 vertical units. There is also a noise level on top of this with an amplitude of 2 vertical units. The shape of the curve can be described as a semi-sinusoidal about an apparently exponential decay, with a possible classification of "jagged".
  • #1
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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  • #2
semi-sinusoidal about an apparently exponential decay?

EDIT: also, "jagged" works for me :)
 
  • #3
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.
 
  • #4
Reminds me of a capacitor output curve after an impulse input voltage...
 
  • #5


I can provide some possible classification or terminology for the shape of your curve. Depending on the specific characteristics and behavior of the curve, it could be described as a sigmoid curve, a parabolic curve, a hyperbolic curve, or an exponential curve. Additionally, the curve could be classified as concave or convex, depending on the direction of its curvature. Furthermore, if the curve displays periodic behavior, it could be classified as a sinusoidal or cyclical curve. These are just some of the possible ways to describe the shape of a curve, and the most appropriate classification or terminology would depend on the specific characteristics and purpose of your graph. I hope this helps in your description of the curve.
 

FAQ: Classification/terminology for shape of a curve

What is the purpose of classifying and naming the shape of a curve?

The purpose of classifying and naming the shape of a curve is to provide a standardized way to describe and compare different types of curves. This allows scientists to communicate and understand each other's research more easily.

How is the shape of a curve classified?

The shape of a curve is typically classified based on its overall appearance and characteristics, such as its symmetry, steepness, and curvature. Common terms used to classify curves include linear, exponential, logarithmic, and sinusoidal.

What is the difference between a convex and concave curve?

A convex curve is one that is bent or curved outward, while a concave curve is bent or curved inward. This can be seen by drawing a straight line through the center of the curve - if the line intersects the curve at multiple points, it is concave, and if it does not intersect the curve at all, it is convex.

Are there any limitations to using classification and terminology for shape of a curve?

While classification and terminology for shape of a curve can be useful for communication and comparison, it is important to note that curves can have unique characteristics that may not fit into a specific category. Additionally, different fields of study may use different terms for the same type of curve, causing confusion.

Can the same curve have multiple shapes?

Yes, it is possible for a curve to have multiple shapes. This can occur in cases where the curve has a combination of characteristics from different shape categories, or when the curve changes shape over time. It is important to carefully analyze and describe the curve to accurately classify its shape.

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