HP Prime Graphing Wireless Calculator Instrukcja Użytkownika Pobierz pdf (Strona 431)

100

101

Example:

factor_xn(x^4-1) gives x^4*(1-x^-4)

Coef. GCD

Returns the greatest common divisor (GCD) of the coeicients of a polynomial.

content(Poly,[Var])

Example:

content(2*x^2+10*x+6) gives 2

Zero Count

If a and b are real, this returns the number of sign changes in the specied polynomial in the interval [a,b]. If a

or b are nonreal, it returns the number of complex roots in the rectangle bounded by a and b. If Var is omitted,

it is assumed to be x.

sturmab(Poly[,Var],a,b)

Example:

sturmab(x^2*(x^3+2),-2,0) returns 1

sturmab(n^3-1,n,-2-i,5+3i) returns 3

Chinese Remainder

Given two matrices whose two rows each contain the coeicients of polynomials, returns the Chinese

remainder of the polynomials, also written as a matrix.

chinrem(Matrix1,Matrix2)

Example:

chinrem returns

[[2 2 1] [1 1 2 1 1]]

Polynomial – Special

Cyclotomic

Returns the list of coeicients 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:

CAS menu 383

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