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| How to substitute polynomials into another polynomial? https://www.singular.uni-kl.de/forum/viewtopic.php?f=10&t=1292 |
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| Author: | Gert-Martin Greuel [ Thu Aug 11, 2005 5:31 pm ] |
| 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: [email protected] Posted in old Singular Forum on: 2001-05-15 13:23:43+02 |
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