I Any tools that can help find the equation for a set of data?

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To find the equation for a set of data represented by the function c_{x,y}=f(x,y), regression analysis is recommended as a primary tool. While it is typically used for identifying linear or nonlinear relationships, it can also handle more complex functions, including those with absolute values and factorials. Eureqa, a sophisticated tool, is noted for its ability to analyze large datasets and derive formulas that describe them. Users are encouraged to explore these methods to uncover the desired function. The discussion emphasizes the potential of these tools in mathematical modeling.
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Are there any tools that can help me find the equation for a given set of data?
Suppose that I can generate the result of a function ## c_{x,y}=f(x,y)## by a method not involving the function ##f##. I need to find ##f(x,y)## now. The expression of ##f(x,y)## is expected to contain basic algebra operation (+-*/), power, absolute value and factorial.

I have tried to find it manually but failed (##f(x,y)## exists, I am sure). So are there any tools that can help?

Thanks.
 
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'regression analysis' is the term to search for. There are a plethora of methods to help you here.
 
Arjan82 said:
'regression analysis' is the term to search for. There are a plethora of methods to help you here.
Thanks, Arjan82. I have heard of it. But according to my memory, it may be mainly used to find linear or nonlinear relations or find coefficients when the basic form of the function is given. Could this be used when the function contains absolute value and factorial? I am still reading Wikipedia.
 
Thread 'Erroneously finding discrepancy in transpose rule'

Thread 'Erroneously finding discrepancy in transpose rule'

Obviously, there is something elementary I am missing here. To form the transpose of a matrix, one exchanges rows and columns, so the transpose of a scalar, considered as (or isomorphic to) a one-entry matrix, should stay the same, including if the scalar is a complex number. On the other hand, in the isomorphism between the complex plane and the real plane, a complex number a+bi corresponds to a matrix in the real plane; taking the transpose we get which then corresponds to a-bi...
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