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 Font size: Tiny Small Normal Large Huge Font colour [quote="Gert-Martin Greuel"]>Dear Singular Team, >Having defined a ring S=0,(x,y,a,b),lp; >I want to define polys f,g, in x,y, and h in a,h, and >then substitute h(f,g) to get another poly k in x,y. >Then I am going to examine the grobner basis for >ideal i=a-f,b-g; >and find >poly l=NF(k,i); > >This should recover h. > >But how do I substitute a polynomial in given variables >into another polynomial? Use map (from S to itself), eg: ring S=0,(x,y,a,b),lp; poly f = x3+y5; poly g = xy5-x2; poly h = a2-b3; map F = S,ideal(x,y,f,g); ideal i =a-f,b-g; poly k = F(h); NF(k,std(i)); Best, Gert-Martin Greuel (Singular team) email: greuel@mathematik.uni-kl.de Posted in old Singular Forum on: 2001-05-15 13:23:43+02[/quote]
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Topic review - How to substitute polynomials into another polynomial?
Author Message
 Gert-Martin Greuel
 Post subject: How to substitute polynomials into another polynomial?
 >Dear Singular Team,>Having defined a ring S=0,(x,y,a,b),lp;>I want to define polys f,g, in x,y, and h in a,h, and>then substitute h(f,g) to get another poly k in x,y. >Then I am going to examine the grobner basis for >ideal i=a-f,b-g;>and find>poly l=NF(k,i);>>This should recover h.>>But how do I substitute a polynomial in given variables>into another polynomial?Use map (from S to itself), eg: ring S=0,(x,y,a,b),lp; poly f = x3+y5; poly g = xy5-x2; poly h = a2-b3; map F = S,ideal(x,y,f,g); ideal i =a-f,b-g; poly k = F(h); NF(k,std(i));Best,Gert-Martin Greuel (Singular team)email: greuel@mathematik.uni-kl.dePosted in old Singular Forum on: 2001-05-15 13:23:43+02 >Dear Singular Team,>Having defined a ring S=0,(x,y,a,b),lp;>I want to define polys f,g, in x,y, and h in a,h, and>then substitute h(f,g) to get another poly k in x,y. >Then I am going to examine the grobner basis for >ideal i=a-f,b-g;>and find>poly l=NF(k,i);>>This should recover h.>>But how do I substitute a polynomial in given variables>into another polynomial?Use map (from S to itself), eg: ring S=0,(x,y,a,b),lp; poly f = x3+y5; poly g = xy5-x2; poly h = a2-b3; map F = S,ideal(x,y,f,g); ideal i =a-f,b-g; poly k = F(h); NF(k,std(i));Best,Gert-Martin Greuel (Singular team)email: greuel@mathematik.uni-kl.dePosted in old Singular Forum on: 2001-05-15 13:23:43+02
 Posted: Thu Aug 11, 2005 5:31 pm

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