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As it can be seen, the estimation error becomes smaller and converges to a small value when is increased.
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As it will be seen, the estimations via couple stress and classical theories serve as the bounds of the estimate obtained using micropolar theory.
See the estimation section for more details.
The second term is due to the residual fractional delay due to the fractional delay estimation error (see the estimation error expression in (54) [12]).
(1) As we have seen, the recursive estimation (2.8) justifies the desired exponential decay of.
With regard to estimations for the nonnegative matrix spectral radius, the earliest result is given by Perron-Frobenius (see [2]), that is, min i ∈ N r i ( A ) ≤ ρ ( A ) ≤ max i ∈ N r i ( A ). Though the result is earlier than the Geršgorin theorem (see [3]), it can be seen as the estimation of ρ ( A ) by using the right end-point of the Geršgorin disc.
From Figure 11, it can be seen that the estimation of most images are highly accurate.
As seen from the estimation results, regional socioeconomic development has a beneficial effect on individual income.
It can be seen that the estimation delay is evident, but the sign estimation is quite accurate.
A major reduction in errors can be seen in the estimation of pension expenditure with a very small reduction in the size of the original CSWL.
Comparing Eq. 31 with Eq. 26, it can be seen that the estimation of the phase shift caused by the frequency offset in Eq. 31 is more accurate.
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