HP 40gs hp 40gs_user's guide_English_E_HDPMSG40E07A.pdf - Page 199
Ndivpc Tfourier
UPC - 882780045217
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hp40g+.book Page 17 Friday, December 9, 2005 1:03 AM DIVPC NOTE: DERVX(F) Or, if you have defined F(X) using DEF, that is, if you have typed: DEF(F(X) = ------X-------X2 - 1 + LN⎝⎛ X-X-----+-----1-1-⎠⎞ ⎞ ⎠ then type: DERVX(F(X)) Simplify the result to get: -------3-----⋅---x---2---------1------x4 - 2 ⋅ x2 + 1 Division in increasing order by exponent DIVPC has three arguments: two polynomials A(X) and B(X) (where B(0) ≠0), and a whole number n. DIVPC returns the quotient Q(X) of the division of A(X) by B(X), in increasing order by exponent, and with deg(Q)
Computer Algebra System (CAS)
14-17
DERVX(F)
Or, if you have defined
F(X)
using
DEF
, that is, if you have
typed:
then type:
DERVX(F(X))
Simplify the result to get:
DIVPC
Division in increasing order by exponent
DIVPC has three arguments: two polynomials A(X) and
B(X) (where B(0)
≠
0), and a whole number n.
DIVPC returns the quotient Q(X) of the division of A(X) by
B(X), in increasing order by exponent, and with deg(Q)
<= n or Q = 0.
Q[X] is then the limited nth-order expansion of:
in the vicinity of X= 0.
Typing:
DIVPC(1+X
2
+X
3
,1+X
2
,5)
gives:
NOTE:
When the calculator displays a request to change to
increasing powers mode, respond yes.
FOURIER
Fourier coefficients
FOURIER has two parameters: an expression
f(x)
and a
whole number
N
.
FOURIER returns the Fourier coefficient c
N
of
f(x)
,
considered to be a function defined over interval [0,
T
]
DEF(F(X)
X
X
2
1
–
--------------
LN
X
1
+
X
1
–
------------
⎝
⎠
⎛
⎞
⎠
⎞
+
=
3
x
2
1
–
⋅
x
4
2
–
x
2
1
+
⋅
--------------------------------
–
AX
[
]
BX
[
]
-----------
1
x
3
x
5
–
+
hp40g+.book
Page 17
Friday, December 9, 2005
1:03 AM