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Math Help - mathematical model

  1. #1
    Member
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    mathematical model

    Hi,
    I have this problem about creating a mathematical model.
    the context is fourier series/transform.
    It is about finding the hourly temperature mathematical model.
    I have attached the file. I tried to search for fourier model for temperatures but I had no sucess.
    Can I have some suggestions so that I can start the problem please?

    thank you.
    B
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by braddy View Post
    Hi,
    I have this problem about creating a mathematical model.
    the context is fourier series/transform.
    It is about finding the hourly temperature mathematical model.
    I have attached the file. I tried to search for fourier model for temperatures but I had no sucess.
    Can I have some suggestions so that I can start the problem please?

    thank you.
    B
    T(t) = A(m) \left[ a_0/2 + \sum_{n=1}^{\infty}a_n \cos(n \pi t/12) + a_n \sin(n \pi t/12) \right]

    where A(m) represents the median daily temprature index for month m, and the term inside the square brackets represents the daily variation in temprature with time t in hours.

    Take November as the reference month as you have hourly temprature data for a 48 hour period in november, then A(Nov)=1, and:

     <br />
A(m) = \mbox{MedianTemp} (m)/ \mbox{MedianTemp} (Nov)<br />

    RonL
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