- #1
morrobay
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- TL;DR Summary
- Covid cases in Thailand June 1 to July 24
Does this curve look quadratic or exponential
Is this curve quadratic or exponential?
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- Thread starter morrobay
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- Curve Exponential Quadratic
In summary, the conversation discusses whether a curve appears to be quadratic or exponential, with the consensus being that it looks exponential due to the involvement of nature. The conversation also mentions the use of SIR models to calculate infectious disease spread and the potential for data inaccuracies or delays in reflecting the true curve. A paper is referenced that discusses the possibility of a quadratic model emerging from the data.
- #2
morrobay
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I got this from orange bar graph with dy/dt =ky. But with so many unknowns in cases reporting maybe a quadratic curve would be more accurate ?
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- #3
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It looks exponential. And as soon as nature is involved, it is exponential anyway. The lockdowns have been so hard because they should break down exponential behavior. I think there are websites on which you can calculate SIR models. Have a look at
https://www.physicsforums.com/threa...th-and-other-curiosities.970262/#post-6164027
https://www.physicsforums.com/threa...th-and-other-curiosities.970262/#post-6164027
- #4
jedishrfu
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Yeah, we know infectious disease follows an exponential curve always. However, data may not accurately reflect the curve, or may come in delayed, or vaccine efforts may blunt the effect and may make it look quadratic.
I think paper discusses these issues better and shows where sometimes a quadratic model comes out of the data:
https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8027562/https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8027562/
I think paper discusses these issues better and shows where sometimes a quadratic model comes out of the data:
https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8027562/https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8027562/
1. What is the difference between a quadratic and an exponential curve?
A quadratic curve is a polynomial function with a degree of 2, meaning the highest power of the variable is 2. It has a U-shaped graph and can be written in the form of y = ax^2 + bx + c, where a, b, and c are constants. An exponential curve is a function with a constant base raised to a variable exponent, and it has a J-shaped graph. It can be written in the form of y = ab^x, where a and b are constants.
2. How can I determine if a curve is quadratic or exponential?
One way to determine if a curve is quadratic or exponential is by looking at its graph. A quadratic curve will have a U-shaped graph, while an exponential curve will have a J-shaped graph. Additionally, you can look at the equation of the curve. If the highest power of the variable is 2, it is quadratic. If the variable is in the exponent, it is exponential.
3. Can a curve be both quadratic and exponential?
No, a curve cannot be both quadratic and exponential. These are two different types of functions that have distinct characteristics and graphs. However, a quadratic function can have an exponential term, such as in the equation y = x^2 + 3e^x.
4. What are some real-life examples of quadratic and exponential curves?
Quadratic curves can be seen in the trajectory of a ball thrown in the air, the shape of a parabolic satellite dish, and the path of a rollercoaster. Exponential curves can be seen in population growth, radioactive decay, and compound interest.
5. How can I use the properties of quadratic and exponential curves in my research?
The properties of quadratic and exponential curves can be used in various scientific fields. For example, in physics, the trajectory of a projectile can be modeled using a quadratic function. In biology, population growth can be modeled using an exponential function. In finance, compound interest can be calculated using the formula for exponential growth. By understanding these curves, you can better analyze and interpret data in your research.
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