After the construction of the constrained low-rank approximation stated in (13), we could obtain a kernel linear regression model for the ith class as boldsymbol{y}approx {boldsymbol{K}}_i^r{boldsymbol{alpha}}_i+boldsymbol{e} (17).
Since the approximation stated in Equation 8 is one of the several key ideas in this article to speed up the current estimation of N e, it is essential to evaluate how good the approximation is.
The ECF [Na+] in the equation was also corrected for the contribution of sugar, proteins and urea to plasma osmolality according to the approximation stated in Verbalis, 2003, but using the values for the rat (14 mosmol/L) [ 17].
Topics: Review of wave equations, Linearization via the Born approximation, adjoint-state equations, geometrical optics and Kirchhoff migration, generalized Radon transforms, microlocal analysis of singularities, sampling and resolution.
The performance of the method is investigated by computing several examples and error estimates of the approximation are stated.
Using high SNR capacity approximation, we state the GDoF region as follows.
The first and second classical Korovkin approximation theorems state the following (see [16, 42]).
The distributed problem is then solved through an ADP algorithm whose approximation of state and optimal control is refined through the introduction of a central coordinator.
This work predominantly labels the problem of approximation of state variables for discrete-time stochastic genetic regulatory networks with leakage, distributed, and probabilistic measurement delays.
However, after running for a period of time, the feed system approaches the thermal balance and reaches the approximation steady state, and the variations of thermal errors ease.
