Hewlett-Packard F2226A - 48GII Graphic Calculator User's Manual
Download Operation & user’s manual of HP 48gII Calculator for Free or View it Online on All-Guides.com.
Brand: HP
Category: Calculator
Type: Operation & user’s manual
Model: HP 48gII , HP F2226A - 48GII Graphic Calculator
Pages: 864 (9.97 Mb)
Page 16-32
• First, define a function c(n) representing the general term c
n
in the complex
Fourier series.
• Next, define the finite complex Fourier series, F(X,k), where X is the
independent variable and k determines the number of terms to be used.
Ideally we would like to write this finite complex Fourier series as
)
2
exp()(),( X
T
ni
nckXF
k
kn
⋅
⋅⋅⋅
⋅=
∑
−=
π
However, because the function c(n) is not defined for n = 0, we will be
better advised to re-write the expression as
+= 0)0,,( cckXF
)],
2
exp()()
2
exp()([
1
X
T
ni
ncX
T
ni
nc
k
n
⋅
⋅⋅⋅
−⋅−+⋅
⋅⋅⋅
⋅
∑
=
ππ
Or, in the calculator entry line as:
DEFINE(‘F(X,k,c0) = c0+Σ(n=1,k,c(n)*EXP(2*i*π*n*X/T)+
c(-n)*EXP(-(2*i*π*n*X/T))’),
where T is the period, T = 2. The following screen shots show the definition of
function F and the storing of T = 2: