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How to substitute polynomials into another polynomial? http://www.singular.unikl.de/forum/viewtopic.php?f=10&t=1292 
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Author:  GertMartin 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=af,bg; >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 = xy5x2; poly h = a2b3; map F = S,ideal(x,y,f,g); ideal i =af,bg; poly k = F(h); NF(k,std(i)); Best, GertMartin Greuel (Singular team) email: greuel@mathematik.unikl.de Posted in old Singular Forum on: 20010515 13:23:43+02 
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