Mathematical model of a phenomenon

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SUMMARY

This discussion centers on developing mathematical models to represent physical phenomena. Participants emphasize the importance of understanding physical principles and suggest that one can "exercise" a model by feeding it real-world data to evaluate its accuracy. A key contribution comes from a user with 35 years of experience in engineering, who highlights the need for clarity in defining the specific physical system to be modeled and the purpose of the model. The conversation also references useful threads on problem-solving strategies in mathematical modeling.

PREREQUISITES
  • Understanding of physical principles relevant to the phenomenon being modeled
  • Familiarity with data analysis techniques for model validation
  • Basic knowledge of mathematical modeling concepts
  • Experience with problem-solving strategies in engineering contexts
NEXT STEPS
  • Research methods for validating mathematical models using real-world data
  • Explore specific mathematical modeling techniques for energy systems
  • Learn about the role of physical principles in model development
  • Investigate problem-solving strategies in engineering and mathematical contexts
USEFUL FOR

Engineers, physicists, and students interested in mathematical modeling of physical systems, as well as professionals seeking to enhance their understanding of model validation and problem-solving strategies.

EdColider
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I want to know how can I begin to exercise the representation of a phenomenon in a mathematical model.
 
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You could start by giving us a hint. What are you talking about?
 
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EdColider said:
I want to know how can I begin to exercise the representation of a phenomenon in a mathematical model.
First of all, you probably need physical principles.
 
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EdColider said:
I want to know how can I begin to exercise the representation of a phenomenon in a mathematical model.
To exercise a model one way is to feed it data and see if the model behaves the same as the real world.
 
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jbriggs444 said:
You could start by giving us a hint. What are you talking about?
which part you did not understand?
 
EdColider said:
which part you did not understand?
Wadda-ya-mean by the term "exercise the representation of a phenomenon in a mathematical model." As an engineering professional who has had 35 years of industrial experience developing and applying mathematical models of physical systems, I have never heard this term before.
 
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Chestermiller said:
Wadda-ya-mean by the term "exercise the representation of a phenomenon in a mathematical model." As an engineering professional who has had 35 years of industrial experience developing and applying mathematical models of physical systems, I have never heard this term before.
I think i did not use the right words. I am from Brasil. Sorry for the bad english. What I want to understand is how someone understand physical systems mathematically.
 
EdColider said:
I think i did not use the right words. I am from Brasil. Sorry for the bad english. What I want to understand is how someone understand physical systems mathematically.
Thank you very much for clarifying this. Yes, your previous post was a bit aggressive to English-only speakers. It's a classic intellectual retort to say "which word did you not understand". I've used it at times, but never at the PF. :smile:
 
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EdColider said:
I think i did not use the right words. I am from Brasil. Sorry for the bad english. What I want to understand is how someone understand physical systems mathematically.
I don't think it is about using the right or wrong words, I just think you didn't use enough of them. What physical system? What part of it are you wanting to model? For what purpose? For example, today, I modeled the energy use of a fan -- will that be helpful to you...?
 
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russ_watters said:
I don't think it is about using the right or wrong words, I just think you didn't use enough of them. What physical system? What part of it are you wanting to model? For what purpose? For example, today, I modeled the energy use of a fan -- will that be helpful to you...?
@Chestermiller post in this thread helped me a lot: https://www.physicsforums.com/threa...roach-think-of-a-problem.712959/#post-4521833
Do you have a different strategy to develop a mathematical model of a physical system?
 

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