From: Karthi on
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
"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
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.