Expression 5: "f" left parenthesis, "x" , right parenthesis equals StartFraction, "a" Subscript, 0 , Baseline Over 2 , EndFraction plus total left parenthesis, "a" Subscript, "k" , Baseline cos left parenthesis, "k" Subscript, "k" , Baseline "x" , right parenthesis plus "b" Subscript, "k" , Baseline sin left parenthesis, "k" Subscript, "k" , Baseline "x" , right parenthesis , right parenthesis left brace, negative StartFraction, pi Over 4 , EndFraction less than "x" less than 9 quarters pi , right bracefx=a02+totalakcoskkx+bksinkkx−π4<x<94π
5
Expression 6: "k" Subscript, "k" , Baseline equals left bracket, 1...5 , right bracketkk=1...5
equals=
11
22
33
44
55
6
"x" Subscript, 1 , Baselinex1
"y" Subscript, 1 , Baseliney1
0.1 5 7 10.1571
negative 0.5 3 6−0.536
r1c3:
0.4 7 1 20.4712
negative 0.2 9 6−0.296
r2c3:
0.7 8 5 40.7854
0.2 4 80.248
r3c3:
1.0 9 9 61.0996
0.5 0 40.504
r4c3:
1.4 1 3 71.4137
0.2 6 40.264
r5c3:
1.7 2 7 91.7279
0.2 6 40.264
r6c3:
2.0 4 2 02.0420
0.7 60.76
r7c3:
2.3 5 6 22.3562
0.9 20.92
r8c3:
2.6 7 0 42.6704
0.20.2
r9c3:
2.9 8 4 52.9845
negative 0.8 0 8−0.808
r10c3:
3.2 9 8 73.2987
negative 1.2 2 4−1.224
r11c3:
3.6 1 2 83.6128
negative 1.1 9 2−1.192
r12c3:
3.9 2 7 03.9270
negative 1.1 9 2−1.192
r13c3:
4.2 4 1 24.2412
negative 1.2 4−1.24
r14c3:
4.5 5 5 34.5553
negative 1.1 7 6−1.176
r15c3:
4.8 6 9 54.8695
negative 1.2 2 4−1.224
r16c3:
5.1 8 3 65.1836
negative 1.4 1 6−1.416
r17c3:
5.4 9 7 85.4978
negative 1.3 3 6−1.336
r18c3:
5.8 1 1 95.8119
negative 0.9 2−0.92
r19c3:
6.1 2 6 16.1261
negative 0.6−0.6
r20c3:
r21c3:
7
Beispiel für die Berechnung eines Koeffizienten. Die bk werden mit sin(kx) berechnet.
8
Expression 9: "a" Subscript, 3 , Baseline equals total left parenthesis, StartFraction, 2 "y" Subscript, 1 , Baseline cos left parenthesis, 3 "x" Subscript, 1 , Baseline , right parenthesis Over 20 , EndFraction , right parenthesisa3=total2y1cos3x120
