Main Page/Applications
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Revision as of 11:49, 29 October 2020 by Andraschko (talk | contribs) (Added simple syntax highlighting)
Application Examples
Computing reduced Gröbner bases:
Use P ::= QQ[x,y,z], DegRevLex; I := ideal(P,[y-x^2,z-x^3]); GBasis(I); -- reduced DegRevLex Gröbner basis of I
Computing reduced SAGBI bases:
Use QQ[x,y], DegLex; SB.SAGBI([x^2*y, x^2 -y^2, x^2*y^2 -y^4, x^2*y^4]); -- reduced DegLex-SAGBI basis of Q[x^2y, x^2-y^2, x^2y^2-y^4, x^2y^4]
Solving polynomial equations over using a SAT solver:
Use ZZ/(2)[x,y,z]; f1 := x*y + x*z + y*z + z; f2 := y + 1; f3 := x*y + z; SAT.Solve([f1,f2,f3]); -- [0, 1, 0]
