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Furthermore, a consistent tangent stiffness matrix is formulated to enhance equilibrium and avoid divergence at the structural level.

After the determination of the impulse dynamic subspace, the system matrix is formulated and the poles are calculated directly.

Subsequently a mixed mass matrix is formulated through a linear combination of the reduced bandwidth mass matrix and the consistent mass matrix.

The computation of the gain matrix is formulated in terms of a static output feedback problem, which can be efficiently solved using linear matrix inequalities.

By employing the exact general solution to the governing equations of the beam, an accurate approximate finite element stiffness matrix is formulated.

The nonlinear stiffness matrix is formulated based on von Kármán's assumptions to obtain the stiffness interaction between the in-plane and bending degrees of freedom.

Based on these responses, an optimized CEH gelisphere matrix was formulated and thereafter incorporated as a powder into a candidate crosslinked zinc pectinate multiple-unit device to assess its effect on modifying drug release.

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 global matrix was formulated and the ranks of the water sources were obtained as earlier discussed.

Using the selected factors (three) and factor levels (three), a design matrix was formulated in conformance with L9 (33) Taguchi's Orthogonal array design (Roy 1990).

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.