Sentence examples for matrix has complex from inspiring English sources

This also means that our formalism cannot be used to evaluate the correlation structure when equations (2.1) undergo neural oscillations generated through Hopf bifurcations, but can still describe damped oscillations around a stable focus in the phase space when the connectivity matrix has complex eigenvalues.

For a long enough delay τ d > τ r /4, the matrix has complex eigenvalues − 1 / 2 τ d ± i 4 τ d τ r − τ r 2 / 2 τ r τ d.

We introduce a construction technique for generalized complex linear processing orthogonal designs, which are p × n matrices X satisfying XHX = fI, where f is a complex quadratic form, I is the identity matrix, and X has complex entries.

Let (mathcal{S}) be a square matrix of order (l geq1) which has complex entries.

Let (mathcal{H}) be a square matrix of order (l geq1) which has complex entries and let ϒ denote the spectrum of (mathcal{H}), i.e., (Upsilon:={lambda: lambda text{ is an eigenvalue of } mathcal{H}}).

Theorem 4 If complex [ r ] -matrix impulsive system (1) has complex constant coefficient matrices A, B, C, D, then the following conclusions hold.

In more involved problems, the matrix A may have complex eigenvalues with arbitrary large imaginary parts.

Thrombospondins (TSPs) are evolutionarily-conserved, secreted glycoproteins that interact with cell surfaces and extracellular matrix (ECM) and have complex roles in cell interactions.

In doing so I demonstrate the persistent work applied to the problem of civilian fear: by highlighting it as an ongoing research project, and suggesting links between seemingly disparate research objects, I wish to show how civilian 'nerve' emerged from within a particular analytical and operational matrix which itself had complex foundations.

This implies that, for (m<-frac{n^{2}}{4}), the Jacobian matrix has a pair of complex eigenvalues.

The associated Jacobian matrix has a pair of complex eigenvalues (lambda_{1,2}=rho+omega i) and one real eigenvalue (lambda_{3}).