Sentence examples for are derived utilizing from inspiring English sources

Dimensionless horizontal load-displacement and overturning moment-rotation relationships are derived utilizing the Power law and Buckingham's theorem.

The general four pole parameters for a system of two continuous three-dimensional cavities connected by n pipes are derived utilizing four pole parameters of each individual cavity in terms of its natural modes, frequencies, and modal damping.

The new controller is derived utilizing the concept of the integral manifold of the singularly perturbed differential equations.

The nonlocal governing equations of FG-MEE nanoplate have been derived utilizing Hamilton's principle for MEEMs.

A mean total velocity response spectrum for characterizing the mean absolute input energy of multiple-support structures is derived utilizing their pseudo-static response.

The analytical description of the Gibbs energies of pure succinonitrile (SCN) and pure (d camphor (DC) were derived utilizing the data on temperature and enthalpy of transformations, and temperature dependencies of heat capacity available in the literature.

A non-linear stochastic finite element formulation for the stochastic response analysis of geometrically non-linear, elastic two-dimensional frames with random stiffness properties and random damping subject to stationary random excitations is derived, utilizing deterministic shape functions and random nodal displacements.

Based on this analysis of the individual variables, five combined scores have been derived utilizing all of the individual scores, which loaded on each factor.

The governing equations, initial conditions and boundary conditions are derived by utilizing the Hamilton's principle.

Myopic decision rules for this model of production are derived by utilizing prices of capital inputs that incorporate Jorgenson's cost of capital.

The maximum-likelihood (ML) estimators for the parameters are derived by utilizing the theory for growth curve models.