Re: Simplification to Partial Fraction
- To: mathgroup at smc.vnet.net
- Subject: [mg59707] Re: Simplification to Partial Fraction
- From: "Scout" <not at nothing.net>
- Date: Thu, 18 Aug 2005 00:16:38 -0400 (EDT)
- References: <ddurbr$oeh$1@smc.vnet.net>
- Sender: owner-wri-mathgroup at wolfram.com
"Jon Palmer" <Jonathan.palmer at new.ox.ac.uk> news:ddurbr$oeh$1 at smc.vnet.net... >I was wondering if someone can help with a Partial Fraction problem. > > I have a calculated expression, u, which is a quotient of two polynomials > in > three variables x, y & z. > > > u = P(x,y,z)/Q(x,y,z) > > > I know that the quotient, when simplified, is a sum of partial fractions > of > the form > > u = R(x,y,z) + S(x,y,z)/(x^2 +y^2) + T(x,y,z)/(y^2 +z^2) + U(x,y,z)/(z^2 > +x^2) > > > Is there a way to simplify the expression into the parial fraction form? > > I have tried various combinations of Simplify, Apart, Collect etc. and > can't > find a method that works. Any help would be much appreciated. > > Thanks > Jon Palmer > > > > Hi Jon, maybe something like this? Assuming your previous positions: In[]:= Cancel[u / ((x^2+y^2)(y^2+z^2)(x^2+z^2))] In[]:= Apart[%] ~Scout~