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 December 19th, 2016, 06:25 AM #1 Newbie   Joined: Dec 2016 From: Belgrade, Serbia Posts: 1 Thanks: 0 Get equation that describes set of measures Hello. A whole decade passed since I graduated mathematics and shifted to other profession, so my knowledge is very rusty. There is an important problem for a scientific work that I need help for. Let's say factor t is being calculated from factors x, y and z, all some parameters from living environment. There is a bunch of experimental measures where x, y and t were measured out precisely, but not z. z is a value that this work is about and is not measurable anyhow in reality. The question is how to determine a math equation that gives dependency between the 4 values : t = f(x,y,z) I understand standard interpolation requires known values for all variables in interpolation points, so I am not even sure the formulation of the problem is ok I do not know if it would be possible to do this even if z is known in all points, since this is a function from three variables. So my first question would be if it is possible to get this equation at all. If it is, I would be very glad that someone directs me to some interpolation method I could use to resolve this. I have tried with polynomial approximation: a_n*x^n + ... + a_1*x + a_0 + b_m*y^m + ... + b_1*y + b_0 + c_p*z^p + ... + c_1*z + c_0 = t When you substitute values from a very broad set of measured tests, this becomes a system of equations per following variables: a_n, ..., a_0, b_m, ..., b_0, c_p, ..., c_0, z where for z this goes to the power of p. This is obviously not solvable. So, there might be numerical analysis that could help, but I do not have knowledge to do this Thank you very much! Tags approximation, describes, equation, interpolation, measures, numerical analysis, set Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post lullabee Real Analysis 1 May 5th, 2014 09:51 AM Xtal Advanced Statistics 1 May 24th, 2013 12:42 PM rumpsteken Physics 10 November 29th, 2012 01:31 AM guynamedluis Real Analysis 4 September 15th, 2011 05:03 PM swahelian Advanced Statistics 0 July 15th, 2010 02:37 PM

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