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EdColider
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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.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.EdColider said:I want to know how can I begin to exercise the representation of a phenomenon in a mathematical model.
which part you did not understand?jbriggs444 said:You could start by giving us a hint. What are you talking about?
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.EdColider said:which part you did not understand?
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.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.
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.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...?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 YouChestermiller said:See my post in this thread: https://www.physicsforums.com/threa...roach-think-of-a-problem.712959/#post-4521833 and in this thread: https://www.physicsforums.com/threa...egy-for-solving-problems.788382/#post-4951108
@Chestermiller post in this thread helped me a lot: https://www.physicsforums.com/threa...roach-think-of-a-problem.712959/#post-4521833russ_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...?
Happy to hear it.EdColider said:@Chestermiller post in this thread helped me a lot: https://www.physicsforums.com/threa...roach-think-of-a-problem.712959/#post-4521833
No, I think @Chestermiller 's approach was good as a broad outline.Do you have a different strategy to develop a mathematical model of a physical system?
A mathematical model of a phenomenon is a simplified representation of a real-world system or process using mathematical equations and relationships. It is used to describe, analyze, and make predictions about the behavior of the phenomenon.
Mathematical models are important in science because they allow us to understand and predict the behavior of complex systems and processes. They also help us to identify key factors and relationships that may not be apparent through simple observation.
A mathematical model is created by first identifying the key variables and relationships involved in the phenomenon being studied. These are then translated into mathematical equations and tested against known data to ensure accuracy. The model is then refined and updated as new data becomes available.
One limitation of mathematical models is that they are based on simplified assumptions and may not always accurately represent the complexity of a real-world system. They also rely on the quality and quantity of available data, which can be limited or biased.
Mathematical models are used in a variety of fields in science, including physics, biology, economics, and engineering. In physics, models are used to predict the behavior of physical systems, while in biology, they are used to understand the growth and evolution of organisms. In economics, models are used to analyze market trends and make predictions, and in engineering, they are used to design and optimize systems and structures.