Sentence examples for derived a system of from inspiring English sources

In this paper, we have derived a system of transport equations for the shock strength and the induced continuity.

Using kinematics of one-dimensional motion, we have derived a system of transport equations for the variation of shock strength and induced discontinuities behind shocks of weak strength traveling into quiescent non-ideal gas.

We derived a system of two-dimensional equations for thickness-extensional vibrations of a four-layered plate consisting of a piezoelectric thin film on an elastic substrate with driving and ground electrodes.

We derive a system of partial differential equations characterizing our Whittaker functions.

We derive a system of nonlinear differential equations for the coordinates of the track regarded as a parametric curve.

A Galerkin projection is used to derive a system of deterministic equations for the stochastic modes of the solution.

In particular, we derive a system of non-commutative stochastic differential equations (the non-commutative Belavkin-Kalman filter) that minimizes a least squares error criterion.

By drawing on Berezin's theory of radial parts, we derive a system of differential equations which in combination with certain other properties ultimately determines (chi ).

To carry out numerical simulations for large scale networks, we derive a system of semi-classical Langevin equations based on the Wigner-transformation as described in [10].

In order to obtain analytic expressions for the resonance frequencies of a TL system we derive a system of linear equations with unknowns corresponding to all branch currents and nodal voltages and also wave amplitudes in TL elements.

The method of virtual power is then used to derive a system of coupled governing equations, each representing a particular scale and its interactions with the macro-scale.