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Using a matrix analytical method, we derived the average throughput and delay performance of ICaD-ARQ-QS.
By applying a matrix analytical method, we can derive the stationary distribution of the finite QBD process for Q > 1[23, 24].
Further more, the matrix analytical method was applied to realize shape control optimization under saturation statuses of single or multiple adjustment parameters [40].
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Biomonitoring and environmental data have been reported in the literature in a variety of ways and are a function of the subject population, sample matrix, analytical methods, and data analysis.
We measured the chemical compositions of six matrices (analytical methods are described in Additional file 1): 14 data from the CV3OxB MET 00430 host matrix, 10 data from the CV3OxB MET 01070 host matrix, 11 data from the CV3OxA LAP 02206 host matrix, 5 data from the CV3Ox A 881317 matrix 5, 5 data from the CV3Red RBT 04143 matrix 5 and 3 data from the CV3Red RBT 04143 matrix 6.
For matrix inversion, the analytical method is used for 2×2 matrix inversion which is given by: left[ begin{array}{cc} a & b c & d end{array} right]^{-1} = frac{1}{ad-bc}left[ begin{array}{cc} d & -b -c & a end{array} right] (14).
In order to take into account transient fracture-matrix exchange, an analytical method is proposed to solve the coupled fracture and matrix equations.
Matrix-based analytical methods require datasets with no missing values, but genotypes were missing for 1.2% of the total data points in a 165 pine trees by 3461 genotypes data matrix.
Thus, if blood is used as a matrix, the sensitivity of the analytical method and the matrix volume available for analysis may become important.
The risk matrix based on Borda number analytical method and Analytic Hierarchy Process (AHP) is then presented to assess the risks of well integrity in production safety.
d from Equation (3) is also an eigenvalue of matrix S. The fast analytical method from qcprot (Liu et al., 2010) is then used to solve for the eigenvectors of matrix S and construct the rotation matrix [ Equations (2 4) and Equations (1 8) in Supplemental materials].
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