Sentence examples for matrix our method from inspiring English sources

(6) When (m=n), (W=I ), (Lambda(t)=operatorname{diag} d, ldots, d) in R^{ntimes n}) is a nonzero constant matrix, our method is simplified to be PS of chaotic systems with the same dimensions.

(3) When (l=n), (W=I in R^{ntimes n}), and (Lambda(t)=C in R^{ntimes m}) is a nonzero constant matrix, our method is simplified to be PS.

When (m=n), (W=I ), (Lambda(t)=operatorname{diag} d, ldots, d) in R^{ntimes n}) is a nonzero constant matrix, our method is simplified to be PS of chaotic systems with the same dimensions.

For an mT-dimensional discrete system of the form varDelta ^{2}U_{n-1}+BU_{n}+nabla V ( n,U_{n} ) =0,quad nin Z, when B is a symmetric positive definite, negative definite, or infinite definite matrix, our method is also valid.

As the confusion matrix reveals, our method successfully determines the labels of 23 out of 24 chromatograms.

Speech feature vectors are obtained by transforming features linearly using a time-invariant transform matrix generated by our method.

In contrast to existing methods, which compute the columns of the resulting matrix Q consecutively, our method iteratively refines all elements at once.

Hence, we are free to remove information from the stoichiometric matrix about one of the enzyme forms; we choose to remove information about EE, and therefore, we eliminate the second row from the stoichiometric matrix, leading to (52) Note that we have also partitioned the stoichiometric matrix into two sub-matrices as required by our method (see prescription for ssLNA in the Results section).

Compared with MKL approaches that learn one weight for one kernel matrix representing one modality, our method will learn the weight for each feature to capture the local feature importance.

Comparisons with existing factorization, techniques, such as singular value decomposition and non-negative matrix factorization show that our method provides higher predictive power in held, out tests while inducing sparse and biologically relevant gene sets.

In this way, the matrices B and D can be defined, but in our method, these matrices are not directly utilized for the reconstruction.