Re: finding the weighted degree of a polynomial
- To: mathgroup at smc.vnet.net
- Subject: [mg79728] Re: [mg79677] finding the weighted degree of a polynomial
- From: Sseziwa Mukasa <mukasa at jeol.com>
- Date: Thu, 2 Aug 2007 04:03:26 -0400 (EDT)
- References: <200708010913.FAA02044@smc.vnet.net>
On Aug 1, 2007, at 5:13 AM, Arnaud Dagnelies wrote: > > Let p(x,y) be a polynomial in x,y expressed in its expanded form, i.e. > as a sum of terms as follows: > > p(x,y) = sum c_ij x^i y^j > > I want to find the (a,b)-weighted degree of this polynomial defined as > > wdeg(p, {a,b}) = max (ai + bj) with c_ij != 0 > > (where a and b are given fixed values) Max[MapIndexed[If[#==0,0,a #2[[1]]+b #2[[2]]]&,CoefficientList[p, {x,y}],{2}]] Regards, Ssezi
- References:
- finding the weighted degree of a polynomial
- From: Arnaud Dagnelies <arnaud.dagnelies@gmail.com>
- finding the weighted degree of a polynomial