Sentence examples for matrices are formulated from inspiring English sources

Meanwhile, wave reflection and transmission matrices are formulated for cross section area discontinuity condition.

Wave reflection and transmission matrices are formulated, accounting for general support conditions.

The generalized internal nodal and gravity forces for super elements as well as the accurate tangential stiffness matrices are formulated.

Stiffness and mass matrices are formulated via the conventional displacement method and the eigenequation is then solved.

The fuzzy comparison judgment matrices are formulated according to the suggestions of the maintenance staff, which is included in Additional file 1: Annexure A. Fig. 5 Hierarchy structure.

Nonlinear Green Lagrange axial strains are introduced in the governing equations of a viscoelastic composite and new nonlinear damping and stiffness matrices are formulated including initial stress effects.

Based on the sufficient conditions, the explicit expression of the desired filter gain matrices is formulated in terms of linear matrix inequalities.

In this research, the mathematical relationships for the real Hessian matrix are formulated by means of direct analytical derivatives from the given log-likelihood function (Eq. 25) and the final form of matrix is provided through the Eqs.

The main results of this article about positivity or negativity of elements in the nth row of Green's matrix are formulated in Section 3. General assertions are presented in Theorems 3.1 and 3.2.

On the basis of these results, three new indexes incorporating the information of coherence functions or singular spectrum of coherence matrix are formulated as effective tools for natural frequency detection.

The problem of finding the optimum C ′ matrix is formulated as a 0 1 integer linear programming (ILP) problem.