Sentence examples for by applying the linearized from inspiring English sources
Furthermore, stability of these equilibrium solutions is determined by applying the linearized stability criterion.
By applying the linearized stability theorem, the period-two solution (( Phi,Psi ) ) is locally asymptotically stable if (vert mathcal{S}vert <1+mathcal{D}) and (mathcal{D}<1), that is, mathcal{S}< 1+mathcal{D}quadLeftrightarrowquad a+bc+d< 1+adquadLeftrightarrowquad bc< ( a-1 ) ( d-1 ) (26) and mathcal{D}< 1quadLeftrightarrowquad ad< 1, (27) which implies the following lemma.
The interactive effects were accounted for by applying the linearized theory of Toor.
The source strengths on the free surface are expressed in terms of perturbation potential by applying the linearized free surface conditions.
By applying the linearized approach to probabilistic assessment of the vehicle bridge system reliability, it was shown that system probability of exceedance of admissible limits increases with train speed and reduces with increased bridge self-weight.
Generally speaking, the computational cost can be reduced by applying the linearized numerical methods.
The controller design directly employs the nonlinear model exploited based on mean-value modeling principle of engine systems without any linearizing reformation, and the online optimization is achieved by applying the Continuation/GMRES (generalized minimum residual) approach.
To calculate the structural stability and volume change due to lithium extraction, the total energies of Li2TiS3, Li3NbS4 and their corresponding delithiated phases LiTiS3 and Li2NbS4 have been computed by applying full potential linearized augmented plane wave (FP-LAPW) method implemented in WIEN2K.
The critical forces are then obtained by the linearized stability theory.
By applying DC load flow model [5] or linearized AC load flow model [9], bus voltages and branch flows can be represented as a linear combination of input variables, which makes convolution procedure feasible.
The linearized Avrami kinetic model equation (Avrami 1940) is expressed by Eqs.
