Sentence examples for matrices this approach from inspiring English sources
When applied to a sum of independent random matrices, this approach yields matrix generalizations of the classical inequalities due to Hoeffding, Bernstein, Khintchine, and Rosenthal.
While multiple tasks may have the same disambiguation matrices, this approach provides constraints on connectivity which may reduce the complexity of task design.
However, because it is not clear how to numerically represent 'self' in our independent matrices, this approach would be problematic if we specifically wanted to investigate investment in others versus self.
We chose the linear discriminant functions given by the eigenvectors of the ratio of the between and within covariance matrices; this approach is equivalent to a multivariate analysis of variance (MANOVA).
Especially with regard to low concentration of ENPs in complex matrices, this approach may provide a possibility to quantify the concentration of the nanoparticles and the dissolved fraction simultaneously.
Despite the limitations stated previously of inferring phylogeny from an SNP matrix, this approach has yielded far more variable characters for inferring evolutionary history than any previous study.
Thus, most of the simulations were performed on genetic distance matrices because this approach allows users to determine, before phylogenetic inference, if the data matrices must be treated in a separate or combined analysis.
A common solution to deal with this issue is to relax the constraint in the precoder optimization and to orthogonally project the resulting solution onto the set of unit modulus matrices [14]; this approach can also be applied to our problem at hand.
Graphene was found to be well distributed in the PS matrix by this approach, increasing the decomposition temperature range.
(2015) proposed 3D inversion with the solution of the full distortion matrix, but this approach does not allow this static shift to be a free parameter.
Our approach to distinguish these two types of solutions consists in adding a term depending on the determinant of the matrix W. This approach works correctly, as our results show.
