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Between-subject variability on the structural parameters was modeled assuming an exponential structure and was included on the bioavailable fraction, where the fixed-effects value was fixed to 1. Any parameters determined to be unidentifiable were fixed at the values in the original 62-state model and thus not estimated.
This exponential structure makes use of every colour in a cluster for hiding data and thus removes redundancy in the data hiding process.
In the proof of the Theorem 3.1, we introduce some mode-dependent Lyapunov function (38)–(43) in match period, and the exponential structure such as (e^{alpha_{1} ( {t - s} )}), not is (e^{-alpha_{1} ( {t - s} )}).
DECRA takes advantage of the intrinsic exponential structure of some bilinear data sets to produce trilinear data by a simple shifting scheme, but this manipulation generates an error structure that is not optimally handled by traditional three-way chemometrics methods such as TLD and PARAFAC.
Next, we overcome the formidable numerical challenges posed by the model by designing a robust semi-implicit method based on linear asymptotic behavior of the leading order terms at small scales, by exploiting the exponential structure of global (integral) operators, and by parallelizing the non-linear optimization problem.
We assume the temporal sampling interval, i.e., δ t =15 min. The parameter w represents a constant advective displacement in 15 min. The covariance matrix of the state noise, i.e., Q is assumed to have an exponential structure given as ([!{mathbf {Q}}]_{ij}={sigma _{s}^{2}} exp left (-frac {|{mathbf {x}}_{i}-{mathbf {x}}_{j}|_{2}}{gamma }right)), with ({sigma _{s}^{2}}=10^{-3}) and γ=3.33.
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As a result of the new proposed design methods, the performances of the exponential structures are only slightly affected by technological errors.
In order to well study the internal body performance for transmission-mode GaAs photocathode of different varied doping structures, two GaAs photocathodes of exponential doping structure and gradient doping structure were designed respectively.
Kriging employed a double exponential covariance structure for the spatial covariance; one structure represented short-range variability and the other long-range variability.
In order to improve the performance of the photocathode, a kind of photocathode with exponential doping structure is designed and grown; meanwhile two other kinds of photocathodes with uniform doping structure and gradient doping structure are also designed.
This paper deals with the problem of finding suitable experimental plans for the Ordinary Kriging with exponential correlation structure.
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