MathGroup Archive 2005

[Date Index] [Thread Index] [Author Index]

Search the Archive

Re: approximate functions in polynomial

  • To: mathgroup at smc.vnet.net
  • Subject: [mg53921] Re: approximate functions in polynomial
  • From: Paul Abbott <paul at physics.uwa.edu.au>
  • Date: Fri, 4 Feb 2005 04:11:16 -0500 (EST)
  • Organization: The University of Western Australia
  • References: <ctnim6$f16$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

In article <ctnim6$f16$1 at smc.vnet.net>,
 "Tun Myint Aung" <TMA at nus.edu.sg> wrote:

> How can we approximate the following functions by polynomials ?
> 
> f(a,b,c,d) = 1 / [ (a - b)^2 + (c - d)^2]
> 
> I have tried to use Series in Mathematica but the result is complicated
> and not close at all to the exact value if maximum power is 3.

Exactly why do you want to do this? The intended application and some 
background would help. Clearly if a == b and c == d the function is 
infinite and not easy to approximate by a polynomials ...

Cheers,
Paul

-- 
Paul Abbott                                   Phone: +61 8 6488 2734
School of Physics, M013                         Fax: +61 8 6488 1014
The University of Western Australia      (CRICOS Provider No 00126G)         
35 Stirling Highway
Crawley WA 6009                      mailto:paul at physics.uwa.edu.au 
AUSTRALIA                            http://physics.uwa.edu.au/~paul


  • Prev by Date: Re: Problem with matching.
  • Next by Date: Re: Nonlinear Fittings: range / boundaries are not working :(
  • Previous by thread: approximate functions in polynomial
  • Next by thread: matrices in matrices