Sentence examples for matrices and calculated from inspiring English sources

We imaged each sample three times, derived the Mueller matrices, decomposed each of the matrices and calculated total, linear and circular depolarizations.

To assess if that event represented a significant preplay event: we generated 1000 posterior probability matrices by shuffling the identities of cells included in the event, fit lines on all matrices, and calculated their goodness of fits.

For classification and comparison of mycobacterial RHO enzymes, we used ClassRHO [ 67- 69], which performs hierarchical cluster analysis using pairwise distance (PD) matrices and calculated from ClustalW default protein weight matrix (Blosum).

The major computation task of the proposed algorithms lies in performing the SVD of channel matrices and calculating the power loading parameters.

The partitioning technique is a suitable method which allows to avoid the singularity problem of the HN,N−1 and H N, N − 1 † matrices and calculates only nontrivial solutions of Equation 10.

The approach for comparing the above distance matrices and calculating the significance of their correlations is taken directly from Goh et al. 2000[48], which includes a detailed protocol.

By applying integral equation theory, the frequency equation is derived in terms of the standard eigenvalue problem of a matrix and calculated numerically.

Expert Choice™ software translated the comparison judgements according to the 9-point scale of Saaty [41], immediately provided the Consistence Ratio (CR) of each matrix, and calculated normalised performance, aggregating judgements by geometric mean.

We then calculated a Euclidean distance matrix and performed hierarchical clustering on this matrix and calculated FD as the total branch lengths connecting community members together [24].

To compare the three matrices' structure we conducted a singular value decomposition of each matrix and calculated the angles at which each resulting eigenvector differed between the genes [9].

Given a protein and ENM model, we calculated the Hessian matrix, inverted it to obtain the variance-covariance matrix, and calculated the site-specific flexibility values MS F i ˜ using Eq. (5) and z-normalizing.