Sentence examples for matrix are formulated from inspiring English sources

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.

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

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.

The problem we need to solve to find a signature matrix is formulated as follows: Signature matrix inverse eigenvalue problem (SMIEP).

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

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 the Improvement Phase, the causal matrix is formulated for detailing down the causes responsible for the poor performance among the Iterations.