Verifica Su Fourier Novarese
Transcript of Verifica Su Fourier Novarese
Patrick Novarese5C Info10/03/2009ITIS Pininfarina
Verifica di laboratorio
x f(x) Somma 1 Somma 2 Somma 3 Somma4-3.141593 9.869604 7.2898681337 8.289868 8.734313 8.984313-2.827433 7.99438 7.0940941989 7.903111 8.164349 8.241603-2.513274 6.316547 6.5259361112 6.834953 6.697612 6.495358-2.199115 4.836106 5.6410091429 5.331992 4.9093 4.707046-1.884956 3.553058 4.5259361112 3.716919 3.357356 3.43461-1.570796 2.467401 3.2898681337 2.289868 2.289868 2.539868-1.256637 1.579137 2.0538001562 1.244783 1.604346 1.681601-0.942478 0.888264 0.9387271245 0.62971 1.052402 0.850148-0.628319 0.394784 0.0538001562 0.362817 0.500158 0.297904-0.314159 0.098696 -0.5143579315 0.294659 0.033421 0.110675
-0.0001 1E-08 -0.7101318463 0.289868 -0.154576 0.0954240 0 -0.7101318663 0.289868 -0.154576 0.095424
0.314159 0.098696 -0.5143579315 0.294659 0.033421 0.1106750.628319 0.394784 0.0538001562 0.362817 0.500158 0.2979040.942478 0.888264 0.9387271245 0.62971 1.052402 0.8501481.256637 1.579137 2.0538001562 1.244783 1.604346 1.6816011.570796 2.467401 3.2898681337 2.289868 2.289868 2.5398681.884956 3.553058 4.5259361112 3.716919 3.357356 3.434612.199115 4.836106 5.6410091429 5.331992 4.9093 4.7070462.513274 6.316547 6.5259361112 6.834953 6.697612 6.4953582.827433 7.99438 7.0940941989 7.903111 8.164349 8.2416033.141593 9.869604 7.2898681337 8.289868 8.734313 8.984313
f ( x )=a02
+∑n=1
∞(an*cos( nx )+bn∗sen(nx ))
a0=1π∫−π
π
f ( x ) dx=. . .. . . ..=23π2
an=1π∫−π
π
f ( x ) cos( nx )dx=.. .=¿ {4n2 n pari ¿ ¿¿
¿
¿
-4 -3 -2 -1 0 1 2 3 4-2
0
2
4
6
8
10
12
Serie di Fourier
fxSomma 1Somma 2Somma 3Somma4
x
y
f ( x )=13π2−
4
12cos (x )+ 4
22cos (2 x )− 4
32cos (3 x )+ 4
42cos (4 x )−.. . . .
-4 -3 -2 -1 0 1 2 3 4-2
0
2
4
6
8
10
12
Serie di Fourier
fxSomma 1Somma 2Somma 3Somma4
x
y
f ( x )=a02
+∑n=1
∞(an*cos( nx )+bn∗sen(nx ))
a0=1π∫−π
π
f ( x ) dx=. . .. . . ..=23π2
an=1π∫−π
π
f ( x ) cos( nx )dx=.. .=¿ {4n2 n pari ¿ ¿¿
¿
¿
-4 -3 -2 -1 0 1 2 3 4-2
0
2
4
6
8
10
12
Serie di Fourier
fxSomma 1Somma 2Somma 3Somma4
x
y
f ( x )=13π2−
4
12cos (x )+ 4
22cos (2 x )− 4
32cos (3 x )+ 4
42cos (4 x )−.. . . .
-4 -3 -2 -1 0 1 2 3 4-2
0
2
4
6
8
10
12
Serie di Fourier
fxSomma 1Somma 2Somma 3Somma4
x
y
a0=1π∫−π
π
f ( x ) dx=. . .. . . ..=23π2
an=1π∫−π
π
f ( x ) cos( nx )dx=.. .=¿ {4n2 n pari ¿ ¿¿
¿
¿