Нигматуллин Р.Р. (лекция 2)
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The problem of elimination of depending constants. Another problem that can be a serious drawback in application of the conventional LLSM is the dependence of the
constants C (k=1,2,…,s) entering into the BLR from each other. In this case the
k
direct application of the LLSM becomes impossible because the value of the determinant of the main correlation matrix
How to apply the ECs method for this case?
Example:
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Y(x) =C1X1(x)+F(C1,C3)X2(x)+C3X3(x) → |
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+F(C1,C3)+C3 |
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Y1(x) =C1X1(x)+C3X3(x), |
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Y (x) =Y(x)− |
(Y X2 ) |
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(x), X (x) = X (x)− |
(X1 X2 ) |
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(x), X (x) = X (x)− |
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(x). |
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Some useful references: About POLS:
[1] R.R. Nigmatullin, D. Baleanu, E. Dinch, Z. Ustundag, A.O. Solak, R.V. Kargin.
Analysis of a Nanofilm of the Mercaptophenyl Diazonium Modified Gold Electrode within new Statistical Parameters. Journal of Computational and Theoretical
Nanoscience, 7 (3) (2010) pp. 1-9.
[2]M.L.Ciurea, S.Lazanu, I. Stavaracher, A-M. Lepadatu, V. Iancu, M.R. Mitroi, R.R. Nigmatullin and C.M. Baleanu. "Stressed induced traps in multilayed structures." J of Applied Phys., 109, (2011) 013717.
[3]R.R. Nigmatullin, C.Ionescu, D. Baleanu. NIMRAD: Novel technique for respiratory data treatment. Journal of Signal, Image and Video Processing. (2012). DOI:10.1007/s11760-012-0386-1.
About the ECs method:
[1] R.R. Nigmatullin. Appl. Mag. Res. 14 (1998) 601.
M.M. Abdul-Gader Jafar and R.R. Nigmatullin. Thin Solid Films, 396 (2001) 280.
[2]R.R. Nigmatullin. Physica A, 285 (2000) 547.
[3]M. Al-Hasan, R.R. Nigmatullin, Renewable Energy, 28 (2003) 93.
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