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344 Functions and commands
Special
Cyclotomic Returns the list of coefficients of the cyclotomic polynomial of
an integer.
cyclotomic(Integer)
Example:
cyclotomic(20) gives [1 0 –1 0 1 0 –1 0 1]
Groebner Basis Given a vector of polynomials and a vector of variables,
returns the Groebner basis of the ideal spanned by the set of
polynomials.
gbasis([Poly1 Poly2…], [Var1 Var2…])
Example:
gbasis([x^2-y^3,x+y^2],[x,y]) returns [y^4-
y^3,x+y^2]
Groebner
Remainder
Given a polynomial and both a vector of polynomials and a
vector of variables, returns the remainder of the division of the
polynomial by the Groebner basis of the vector of
polynomials.
greduce(Poly1, [Poly2 Poly3 …], [Var1
Var2…])
Example:
greduce(x*y-1,[x^2-y^2,2*x*y-y^2,y^3],[x,y])
returns 1/2*y^2-1
Hermite Returns the Hermite polynomial of degree n, where n is an
integer less than 1556.
hermite(Integer)
Example:
hermite(3) gives 8*x^3-12*x