From: Karthi on 13 Jun 2010 07:39 i have x,y and z all are column vectors of equal size.i want an equation such that z=f(x,y).please help
From: us on 13 Jun 2010 08:03 "Karthi " <gdkkannan(a)yahoo.co.in> wrote in message <hv2g0o$5te$1(a)fred.mathworks.com>... > i have x,y and z all are column vectors of equal size.i want an equation such that > z=f(x,y).please help one of the very many solutions - given the abundantly exhaustive information you share with CSSM... z=x+y; us
From: Walter Roberson on 13 Jun 2010 12:12 Karthi wrote: > i have x,y and z all are column vectors of equal size.i want an equation > such that z=f(x,y).please help Step 1: Pick the form of the formula at random (literally), but with no more free parameters than you have number of coordinates (3 times number of data points). Do *not* inherently confine the formula to multinomials: allow any operators you can think of, including exponentials, Gamma, integrals, trig, Stirling's Number, infinite quantities; every mathematical quantity you can think of should be a valid candidate for the random selection. Step 2: fit the random formula of Step 1 to your data You are now done. The resulting formula is as valid as any other possible equation. Seriously. There are Aleph-one infinite different formulas that are as valid as each other for your data, unless you have a firm reason to *know* (not just *expect*) that some random formula is not possible for your data. If you _do_ know that, then you need to define what kinds of formula _are_ possible for your data.
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