Senior Project Paper - Cleveland State University · Title: Senior Project Paper.pdf Created Date:...
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Transcript of Senior Project Paper - Cleveland State University · Title: Senior Project Paper.pdf Created Date:...
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R = ↵1S1 + ↵2 + S2 + · · ·+ ↵NSN
R ↵i Si
↵
↵i
↵ ↵
:= A := B := C := D := E := F
Ri ith �0
E2RMS
1N
NPi=1
(↵1Ai + ↵2Bi + ↵3Ci + ↵4Di + ↵5Ei + ↵6Fi �Ri + �0)2
↵i
0 = �E�↵1
) 230
30Pi=1
RiAi =230
30Pi=1
(↵1Ai + ↵2Bi + ↵3Ci + ↵4Di + ↵5Ei + ↵6Fi + �0)Ai
0 = �E�↵2
) 230
30Pi=1
RiBi =230
30Pi=1
(↵1Ai + ↵2Bi + ↵3Ci + ↵4Di + ↵5Ei + ↵6Fi + �0)Bi
0 = �E�↵3
) 230
30Pi=1
RiCi =230
30Pi=1
(↵1Ai + ↵2Bi + ↵3Ci + ↵4Di + ↵5Ei + ↵6Fi + �0)Ci
0 = �E�↵4
) 230
30Pi=1
RiDi =230
30Pi=1
(↵1Ai + ↵2Bi + ↵3Ci + ↵4Di + ↵5Ei + ↵6Fi + �0)Di
0 = �E�↵5
) 230
30Pi=1
RiEi =230
30Pi=1
(↵1Ai + ↵2Bi + ↵3Ci + ↵4Di + ↵5Ei + ↵6Fi + �0)Ei
0 = �E�↵6
) 230
30Pi=1
RiFi =230
30Pi=1
(↵1Ai + ↵2Bi + ↵3Ci + ↵4Di + ↵5Ei + ↵6Fi + �0)Fi
0 = �E��0
) 230
30Pi=1
Ri =230
30Pi=1
(↵1Ai + ↵2Bi + ↵3Ci + ↵4Di + ↵5Ei + ↵6Fi + �0)
↵i �0
115
30Pi=1
RiAi = 115 [
30Pi=1
A2i ]↵1 + 1
15 [30Pi=1
BiAi]↵2 + 115 [
30Pi=1
CiAi]↵3 + 115 [
30Pi=1
DiAi]↵4 +
115 [
30Pi=1
EiAi]↵5 +115 [
30Pi=1
FiAi]↵6 + 2�0
115
30Pi=1
RiBi = 115 [
30Pi=1
AiBi]↵1 + 115 [
30Pi=1
B2i ]↵2 + 1
15 [30Pi=1
CiBi]↵3 + 115 [
30Pi=1
DiBi]↵4 +
115 [
30Pi=1
EiBi]↵5 +115 [
30Pi=1
FiBi]↵6 + 2�0
115
30Pi=1
RiCi =115 [
30Pi=1
AiCi]↵1+115 [
30Pi=1
BiCi]↵2+115 [
30Pi=1
C2i ]↵3+
115 [
30Pi=1
DiCi]↵4+115 [
30Pi=1
EiCi]↵5+
115 [
30Pi=1
FiCi]↵6 + 2�0
115
30Pi=1
RiDi = 115 [
30Pi=1
AiDi]↵1 + 115 [
30Pi=1
BiDi]↵2 + 115 [
30Pi=1
CiDi]↵3 + 115 [
30Pi=1
D2i ]↵4 +
115 [
30Pi=1
EiDi]↵5 +115 [
30Pi=1
FiDi]↵6 + 2�0
115
30Pi=1
RiEi = 115 [
30Pi=1
AiEi]↵1 + 115 [
30Pi=1
BiEi]↵2 + 115 [
30Pi=1
CiEi]↵3 + 115 [
30Pi=1
DiEi]↵4 +
115 [
30Pi=1
E2i ]↵5 +
115 [
30Pi=1
FiEi]↵6 + 2�0
115
30Pi=1
RiFi = 115 [
30Pi=1
AiFi]↵1 + 115 [
30Pi=1
BiFi]↵2 + 115 [
30Pi=1
CiFi]↵3 + 115 [
30Pi=1
DiFi]↵4 +
115 [
30Pi=1
EiFi]↵5 +115 [
30Pi=1
F 2i ]↵6 + 2�0
115
30Pi=1
Ri = 115 [
30Pi=1
Ai]↵1 + 115 [
30Pi=1
Bi]↵2 + 115 [
30Pi=1
Ci]↵3 + 115 [
30Pi=1
Di]↵4 + 115 [
30Pi=1
Ei]↵5 +
115 [
30Pi=1
Fi]↵6 + 2�0
