Sentence examples for matrix we obtain from inspiring English sources

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

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

Together with the local phase matrix, we obtain a certain wave transmitting from a layer to the neighboring one.

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

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

Therefore, there exists a positive constant such that and from the properties of matrix, we obtain (4.11).

Applying the fundamental solution matrix of coefficient matrix, we obtained a series of new sufficient conditions to guarantee the existence and global exponential stability of an anti-periodic solution for the BAM neural networks with time-varying delays in the leakage terms.

From each matrix, we obtained 10 parameters commonly used to describe network structure.

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.