Deviation between four matrices. How to write down mathematically?

Hello, I have two matrices, Matrix F and T from location 1, and two matrices, F and T from location 2. All four matrices contain daily measurement points of power. All matrices have a length of 120 days. I do not want to analyse all days. Therefore, I select 30 days of measurements and redefine the matrices such that all of them have a length of 30 days. I do not know the functions describing the correlation between all data points within each matrix. I will not try to curvefit all data points. Right now I am writing the deviation between all matrices as the enclosed picture. 'a' is location number (1 to 2) and 'b' is number of days (1 to 30). This can definitely be written in a more simple and precise mathematical way. Do you guys have any ideas to write such formula in a more mathematical way? Maybe it could be written as funtions, f(t) and g(t) being substracted instead of elements in matrices, despite the exact polynomium is unknown?

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I don't understand what you mean by re-writing the formula in a more simple and precise mathematical way. It already looks quite simple and mathematical. Sure, you can make the formula appear less simple by writing it as integrals of functions, but what's the purpose of this when you are working with discrete data points?

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on 20 Aug 2021

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