HP 48gII Graphing Calculator Manual do Utilizador Página 510

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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:
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