Verifica Su Fourier Novarese
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Patrick Novarese 5C Info 10/03/2009 ITIS Pininfarina Verifica di laboratorio x f(x) Somma 1 Somma 2 Somma 3 Somma4 -3.14159 9.869604 7.2898681337 8.289868 8.734313 8.984313 -2.82743 7.99438 7.0940941989 7.903111 8.164349 8.241603 -2.51327 6.316547 6.5259361112 6.834953 6.697612 6.495358 -2.19911 4.836106 5.6410091429 5.331992 4.9093 4.707046 -1.88496 3.553058 4.5259361112 3.716919 3.357356 3.43461 -1.5708 2.467401 3.2898681337 2.289868 2.289868 2.539868 -1.25664 1.579137 2.0538001562 1.244783 1.604346 1.681601 -0.94248 0.888264 0.9387271245 0.62971 1.052402 0.850148 -0.62832 0.394784 0.0538001562 0.362817 0.500158 0.297904 -0.31416 0.098696 -0.514357931 0.294659 0.033421 0.110675 -0.0001 1E-08 -0.710131846 0.289868 -0.15458 0.095424 0 0 -0.710131866 0.289868 -0.15458 0.095424 0.314159 0.098696 -0.514357931 0.294659 0.033421 0.110675 0.628319 0.394784 0.0538001562 0.362817 0.500158 0.297904 0.942478 0.888264 0.9387271245 0.62971 1.052402 0.850148 1.256637 1.579137 2.0538001562 1.244783 1.604346 1.681601 1.570796 2.467401 3.2898681337 2.289868 2.289868 2.539868 1.884956 3.553058 4.5259361112 3.716919 3.357356 3.43461 2.199115 4.836106 5.6410091429 5.331992 4.9093 4.707046 2.513274 6.316547 6.5259361112 6.834953 6.697612 6.495358 2.827433 7.99438 7.0940941989 7.903111 8.164349 8.241603 3.141593 9.869604 7.2898681337 8.289868 8.734313 8.984313 f ( x )= a 0 2 + ∑ n =1 ∞ ( a 0 = 1 π ∫ − π π f ( x a n = 1 π ∫ − π π f ( x ¿ 8 10 12 Serie di f ( x) = 1 3 π 2 − 4 1 2 cos ( x) +
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 ¿ ¿¿
¿
¿
