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−1
−0.8
−0.6
−0.4
−0.2
0
0.2
0.4
0.6
0.8
1
−1
−0.8
−0.6
−0.4
−0.2
0
0.2
0.4
0.6
0.8
1
initial
after 2500 steps
−1
−0.8
−0.6
−0.4
−0.2
0
0.2
0.4
0.6
0.8
1
−1
−0.8
−0.6
−0.4
−0.2
0
0.2
0.4
0.6
0.8
1
Initial
After 5000 steps
Á5ÂÃÑÎÈIî0FGËÕÉ#ÑÌÈÐVÏÍÒÉ%ÈYÇ|ÂÌÍ*ÌÂÕ[ÈϰÌÈÉoÏÂ-EÈIHKJ_ÙMLNÆO?YÙ¯÷ø8ACB²Ä ñ Í#ÈÂÀÂÌÂÒÊaÃÑ#ÈÏϦÂÏrÌÍÈIöÂÃÔÂÎÔÊÈ
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0
500
1000
1500
2000
2500
3000
0
0.2
0.4
0.6
0.8
1
1.2
1.4
residue=1.3 10
−3
residue(100) = 0.1663
Residue plot, M=160
residue(1) = 1.2778
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−1
−0.5
0
0.5
1
−1
−0.5
0
0.5
1
0
0.5
1
1.5
2
2.5
Exact observed data, −u
ob
−1
−0.5
0
0.5
1
−1
−0.5
0
0.5
1
0
0.5
1
1.5
2
2.5
3
3.5
Perturbed observed data, −u
ob
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−1
−0.8
−0.6
−0.4
−0.2
0
0.2
0.4
0.6
0.8
1
−1
−0.8
−0.6
−0.4
−0.2
0
0.2
0.4
0.6
0.8
1
u
ob
= u
ob
+ 0.5 rand
Initial
−1
−0.8
−0.6
−0.4
−0.2
0
0.2
0.4
0.6
0.8
1
−1
−0.8
−0.6
−0.4
−0.2
0
0.2
0.4
0.6
0.8
1
u
ob
= u
ob
+ 2 rand
Initial
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−1
−0.5
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Third
−1
−0.5
0
0.5
1
−1
−0.5
0
0.5
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Initial
Fourth
−1
−0.5
0
0.5
1
−1
−0.5
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