Page 16-37
This result is used to define the function c(n) as follows:
DEFINE(‘c(n) = - (((-1)^n-1)/(n^2*
π
^2*(-1)^n)’)
i.e.,
Next, we define function F(X,k,c0) to calculate the Fourier series (if you
completed example 1, you already have this function stored):
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))’),
To compare the original function and the Fourier series we can produce the
simultaneous plot of both functions. The details are similar to those of example
1, except that here we use a horizontal range of 0 to 2 and a vertical range
from 0 to 1, and adjust the equations to plot as shown here:
The resulting graph is shown below for k = 5 (the number of elements in the
series is 2k+1, i.e., 11, in this case):
Summary of Contents for 50G
Page 1: ...HP g graphing calculator user s guide H Edition 1 HP part number F2229AA 90006 ...
Page 130: ...Page 2 70 The CMDS CoMmanDS menu activated within the Equation Writer i e O L CMDS ...
Page 206: ...Page 5 29 LIN LNCOLLECT POWEREXPAND SIMPLIFY ...
Page 257: ...Page 7 20 ...
Page 383: ...Page 11 56 Function KER Function MKISOM ...
Page 715: ...Page 21 68 Whereas using RPL there is no problem when loading this program in algebraic mode ...
Page 858: ...Page L 5 ...