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We are interested in contracting a person with a mathematical or engineering background to accomplish the task stated below.
The task is to find an equation of a curve that would best fit the set of ANY given random points. The nature of the function or functions is immaterial. It could be a polynomial, sinusoid, exponential or any other function or a combination of functions. We prefer that you have extensive expertise in mathematics so that you may not rule out any possible equation.
Realizing that the set of random points might not fit into any curve perfectly, the solution could be offered as a set of possible candidate functions. Each of such candidate functions should be tried ON THE FLY and the total square error is calculated. Then the function with the minimum square error would be used as the best approximation. If you have a more accurate solution to achieve a closer fit to the random points than least square error, feel free to offer it for consideration.
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