Hp Prime Graphing Calculator Instrukcja Użytkownika Pobierz pdf (Strona 345)

100

101

Functions and commands 341

Groebner Basis Returns the Groebner basis of the ideal spanned by a list of

polynomials.

gbasis(LstPoly,LstVar)

Example:

gbasis([x^2-y^3,x+y^2],[x,y]) gives [y^4-

y^3,x+y^2]

Groebner

Remainder

Returns the remainder of the division of a polynomial by the

Groebner basis of a list of polynomials.

greduce(Poly,LstPoly,LstVar)

Example:

greduce(x*y-1,[x^2-y^2,2*x*y-y^2,y^3],[x,y])

gives 1/2*y^2-1

Hermite Returns the Hermite polynomial of degree n.

hermite(Intg(n))where n ≤ 1556

Example:

hermite(3) gives 8*x^3-12*x

Lagrange Returns the Lagrange polynomial for two lists. The list in the

first argument corresponds to the abscissa values, and the list

in the second argument corresponds to the ordinate values.

lagrange((Lst_xk,Lst_yk)

lagrange(Mtrx_2*n)

Example:

lagrange([1,3],[0,1]) gives (x-1)/2

Laguerre Returns the Laguerre polynomial of degree n.

laguerre(Intg(n))

Example:

laguerre(4) gives 1/24*a^4+(-1/6)*a^3*x+5/

12*a^3+1/4*a^2*x^2+(-3/2)*a^2*x+35/24*a^2+(-

1/6)*a*x^3+7/4*a*x^2+(-13/3)*a*x+25/12*a+1/

24*x^4+(-2/3)*x^3+3*x^2-4*x+1

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