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The disparity is likely attributable to the different physical and biochemical properties of individual matrices.
Next, it follows from the Schur Product Theorem that since the individual matrices are psd.
Method accuracy and precision was assessed by threefold determinations of each QC sample fortified at three different levels (5, 50, and 500 ng/g) in the individual matrices.
The MREE/CI and HREE/CI ratios are consistent with the errors within individual matrices and among different matrices (MREE/CI = 0.2 3.6 and HREE/CI = 0.5 2.4 in all matrices; Fig. 2 and Additional file 1: Table S2).
In this work, we consider a simple extension of SSA where instead of analyzing a single trajectory matrix, we consider a compound trajectory matrix generated by the concatenation of S individual matrices, i.e., (mathbf {M}=;[mathbf {M}_{1}, mathbf {M}_{2}, ldots, mathbf {M}_{S}] in mathbb {R}^{S(K times L }).
N values ranged from 0.86 to 0.99 for the pooled matrices (forest patches), and from 0.79 to 0.99 for the individual matrices (transects).
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Matrices were normalized for size variations by dividing each individual matrix by its first eigenvalue.
The range of Sr/CI ratios within an individual matrix is different among matrices.
A widely used correlation for predicting oil recovery from an individual matrix block is the Aronofsky model.
The data matrix can be visualized as a 'data heatmap', a rectangular array that uses colour to represent numerical values of individual matrix cells.
The initiation and propagation of each individual matrix crack as a function of fatigue cycles and applied stress levels were carefully monitored.
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