HP 40gs Bedienungsanleitung PDF herunterladen (Seite 241)

100

101

Computer Algebra System (CAS) 14-59

Note that in step-by-step mode, synthetic division is

shown, with each polynomial represented as the list of its

coefficients in descending order of power.

REMAINDER Returns the remainder from the division of the two

polynomials, A(X) and B(X), divided in decreasing order

by exponent.

Example

Typing:

REMAINDER(X

– 1, X

– 1)

gives:

Note that in step-by-step mode, synthetic division is

shown, with each polynomial represented as the list of its

coefficients in descending order of power.

TCHEBYCHEFF For n > 0, TCHEBYCHEFF returns the polynomial T

such

that:

Tn(x) = cos(n·arccos(x))

For n ≥ 0, we have:

For n ≥ 0 we also have:

For n ≥ 1, we have:

If n < 0, TCHEBYCHEFF returns the 2nd-species

Tchebycheff polynomial:

x 1–

x() C

1–()

n 2k–

k 0=

---

[]

∑

1 x

–()T

″

x() xT

′

x()– n

x()+0=

n 1+

x() 2xT

x() T

n 1–

x()–=

x()

n arccos x()⋅()sin

arccos x()()sin

-------------------------------------------

hp40g+.book Page 59 Friday, December 9, 2005 1:03 AM

1 2 ... 236 237 238 239 240 241 242 243 244 245 246 ... 443 444

Kommentare zu diesen Handbüchern

Keine Kommentare

HP 40gs Bedienungsanleitung Seite 241

Kommentare zu diesen Handbüchern

Verwandte Produkte und Handbücher für Software HP 40gs