Sentence examples for matrices we obtain from inspiring English sources

Noticing that and are diagonal positive-definite matrices, we obtain from (2.12) and (2.13) that (39).

For the important special case of unitary analysis polyphase matrices we obtain an explicit expression for the minimum achievable disturbance attenuation.

Guided by their work on KMS states for Toeplitz Cuntz Krieger type algebras associated to infinite matrices, we obtain complete descriptions of the convex sets of KMS states of finite type and of KMS states of infinite type whose associated measures are supported on recurrent infinite paths.

By alternatively updating the nonnegative matrices, we obtain a local optimum solution of the coefficient matrix V.

Combining with the properties of nonnegative matrices, we obtained some sufficient conditions ensuring the global attracting set for a class of nonlinear and nonautonomous neutral differential equations with time-varying coefficients and unbounded delays.

Here, for 10 sensing matrices, we obtained the median value of upper bounds of α k using the pick-l algorithm and compared the result with LP relaxation method [8].

For each of the 100 simulated matrices, we obtained the best tree over 10 independent runs using RAxML v7.2.6 [ 101] and calculated the difference in likelihood of this tree to that of the collapsed tree (used to simulate the sequences) using baseml (PAML v4.4).

Using information of the eigenvalues of the adjacency matrix, we obtain necessary conditions for existence.

Considering the unitarity of WFRFT matrix, we obtain (E|mathbf {d}_{alpha }|_{2}^{2}=E|mathbf {d}|_{2}^{2}).

From this matrix we obtain the magnetic energy distribution in the wave vector domain.

Taking conjugation (Q^{-1} (cdot) Q) by the matrix we obtain the second part of our assertion.