HP Prime Graphing NW280AAABA CyclotomicInteger, GbasisPoly1 Poly2…, Var1 Var2…, HermiteInteger

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 Given a polynomial and both a vector of polynomials and a Remainder 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

344 Functions and commands