Re: Can Fit give function coefficients?

*To*: mathgroup at smc.vnet.net*Subject*: [mg31101] Re: Can Fit give function coefficients?*From*: "Paul Lutus" <nospam at nosite.zzz>*Date*: Wed, 10 Oct 2001 03:43:12 -0400 (EDT)*References*: <9pu3u0$bc8$1@smc.vnet.net>*Sender*: owner-wri-mathgroup at wolfram.com

"Brett Patterson" <bap at roe.ac.uk> wrote in message news:9pu3u0$bc8$1 at smc.vnet.net... > I have a set of functions that I wish to fit to some data. > Is there a way to succinctly get Mathematica to give me > the coefficients of these functions in the fit. > > For example, say I have > f1[x_] := 2 x^2 > f2[x_] := 3 x^3 > > Normally, if I say: Fit[data, {1, f1[x], f2[x]}, x] > I get a result in the form: a1 + b1 x^2 + c1 x^3, > but I want a result of the form: a2 + b2 f1[x] + c2 f1[x]. > In this case, a2 = a1, b2 = b1/2, and c2 = c1/3. > > Is this possible? No AFAIK, because the numerical coefficients cannot refer to functions that are not defined, as you are showing them. Why do you want this feature? If you change the functions, the generated numerical coefficients lose all meaning. If the functions' definitions are included (true by default), the output is valid. Fit[] provides a numerical solution, not a symbolic one. You are asking for a symbolic representation of a numerical solution. -- Paul Lutus www.arachnoid.com