Sentence examples for matrix formulated by from inspiring English sources

The thermal properties of geopolymer matrix formulated by main molar ratios of SiO2/Al2O3 = 2.6 and H2O/K2O = 18.50 were studied by TGA-DSC analyzers.

The equations are solved symbolically in an exact sense and the DS matrix is formulated by imposing the natural boundary conditions in algebraic form.

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.

As a result of expanding the dynamic orthogonality conditions, mass and stiffness perturbation matrices are formulated by the initial information of undamaged structures as well as the structure's modal parameters before and after the occurrence of damages.

The equivalent global stiffness matrix is then formulated by superimposing the stiffness contribution of the stiffeners and attached skin.

In the proposed methodology, a matrix equation is formulated by utilizing the power flow coupling relationships at the interface of the domains.

The dynamic stiffness matrix is then formulated by relating the amplitudes of forces to those of the displacements at the two ends of the beam.

In accordance with the factorial matrix, gelispheres were formulated by titrating a combination polymeric solution comprised of sodium alginate, pectin and/or cellulose acetophthalate into an inducer solution (crosslinking agent) consisting of calcium and/or acetate ions.

The determination of unknown coefficient of Eq. (14) applies the design matrix of Table 2 formulated by judicious transformation of the actual values of the four control variables at various levels over which the experiments were executed to their coded equivalents using −1 and +1 notations to designate low and high level factor setting and '±α' and '0' for axial and centre points, respectively.

From the tables and matrices formulated in the previous steps, those performance objectives that could be addressed in a short training course were selected by the authors and the experts.

Stability analysis is performed by using switched Lyapunov functions and formulated by linear matrix inequalities (LMI).