Sentence examples for rewritten in the form from inspiring English sources

The coupled dispersion equation of the system is rewritten in the form of the uncoupled dispersion equation with an added term due to the fluid structure coupling.

Using this isomorphism, the stability proof of the closed-loop dual quaternion system based on the proposed Lyapunov-like function is rewritten in the form of familiar matrix/vector algebra.

The electro-mechanical model of a Kirchhoff plate equipped with two piezoelectric patches is rewritten in the form of an infinite dimensional port controlled Hamiltonian system with dissipation (PCHD) where collocation of input and output is achieved by SSA.

If the equation is rewritten in the form OP2 = 1 V1 2 + 0V1V2 + 0V2V1 + 1 V2 2,the full set of components (1, 0, 0, 1) of the metrical tensor is apparent.

Next, the coupled dispersion equation of the system is rewritten in the form of the uncoupled dispersion equation of the structure and the acoustic fluid, with an added fluid-loading term involving a parameter μ due to the coupling.

Finally, we make use of these results to demonstrate the well-posedness in a class of discontinuous solutions to the initial boundary value problem for the Degasperis Procesi shallow water equation, which is a third order nonlinear dispersive equation that can be rewritten in the form of a nonlinear conservation law with a nonlocal source term.

For instance, the previous example can be rewritten in the following form: For instance, the previous example can be rewritten in the following form: Note that, in this case, the Array class is never mentioned explicitly.

Then (3.25) can be rewritten in the matrix form (3.27).

Then (8 - 12) can be rewritten in the abstract form (1 -(4).

Condition (2.33) can also be rewritten in the matrix form.

The difference problems (58) and (59) can be rewritten in the matrix form (56).