Mathematical model of a phenomenon

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To represent a phenomenon mathematically, one should start by identifying the relevant physical principles and the specific system to be modeled. Feeding data into the model is essential to ensure it behaves similarly to the real-world phenomenon. Clarity in communication is important, as misunderstandings can arise from vague terminology. The discussion highlights the need for detailed questions regarding the physical system and the modeling purpose. Engaging with existing strategies, like those shared by experienced professionals, can provide valuable insights into developing effective mathematical models.
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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