HP Prime Graphing Wireless Calculator Manual de usuario descargar pdf (Pagina 432)

100

101

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

Lagrange

Given a vector of abscissas and a vector of ordinates, returns the Lagrange polynomial for the points specied

in the two vectors. This function can also take a matrix as argument, with the rst row containing the

abscissas and the second row containing the ordinates.

lagrange([X1 X2…], [Y1 Y2…]))

lagrange

Example:

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

Laguerre

Given an integer n, returns the Laguerre polynomial of degree n.

laguerre(Integer)

Example:

laguerre(4) returns 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

Legendre

Given an integer n, returns the Legendre polynomial of degree n.

legendre(Integer)

Example:

legendre(4) returns 35/8 ⋅ x

+ 15/4 x

+ 3/8

384 Chapter 22 Functions and commands

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