Sentence examples for matrix one can from inspiring English sources

The experimental facts illustrated by Figures 1, 2, and 3 show that by incorporating NPs into the polymeric matrix, one can minimize the harmful influence of UV exposure on the polymeric component of the composite.

By pushing and pulling cells or materials such as mucus or extracellular matrix, one can learn about their mechanical properties.

Using the matrix, one can determine the gaps in knowledge and what further evaluation is needed in one or more domains or metrics.

On the other hand, due to the Toeplitz structure of the (R_{u_{t}}) matrix, one can resort to a Levinson-Durbin type technique [42] to recursively compute the necessary matrix product operations.

end{aligned} (4 Using the matrix representation of the matrices (D_1), (D_2) and E and the definition of trace of a matrix one can obtain begin{aligned} Trleft[ D_1E^{n_1}D_2right]&=sum _{i=0}^infty langle ivert D_1E^{n_1}D_2vert irangle &=sum _{i=0}^{begin{arraybegin{array}{l} {n_1} i end{array}} right) frac{q^i}{p^{n_1}}.

Altogether, this analysis indicates that by interrogating the tumor extracellular matrix, one can identify signaling pathways up-regulated within the tumor cells or stromal cells and these represent potential targets for therapeutic intervention.

For a detailed analysis on the application of more complex HMM and GMM models, including full covariance matrices, one can refer to the work of Cho et al.[30], which also shows a limited advantage in using statistical models with higher complexity.

If H is symmetric, as in Hartley matrices, one can show that.

Utilizing these matrices, one can readily design and evaluate optical systems, where contain astigmatic elements such as tilted spherical or cylindrical lenses, mirrors and so on.

Since the subpace of Hermitian matrices is provided with the order structure induced by the cone of positive semidefinite matrices, one can consider convexity of this map.

From the P and O matrices one can readily calculate various statistical properties across parcellations (e.g. the number of other regions that any particular region overlaps), and these can form the basis of more advanced analyses and visualization procedures.