Sentence examples for matrix and rigorous from inspiring English sources

The number of periods of the multilayer and the depth of the step and gradient refractive index layers were determined based on transfer matrix and rigorous coupled wave analysis (RCWA) simulations as explained in the 'Results and discussion' section.

For various symmetries in Rb3C60, several transverse and longitudinal frequencies will be then obtained from the 3D dynamical matrix and are rigorous which indeed is not included in the scope of the present analysis.

Through a procedure introduced by Deift and Zhou in the case of long time limits, factorization of the jump matrix coupled with contour deformations allows the localization of the contour, the simplification of the jump matrix and the rigorous asymptotic reduction to a solvable RHP.

But it is really a technical task for people to establish thousands of influential and effective matrix rank formulas in the development of matrix theory and to use the formulas in the intuitive and rigorous investigations of matrices and applications.

We do this by first constructing a sufficiently accurate approximation to the system's matrix and we obtain a rigorous estimate for this approximation.

Since useful quantum gates require excellent fidelity, jumps are rare and a single deterministic 'no-jump' wave function suffices to provide a good estimate and rigorous bound on the process matrices describing the evolution [25].

He was methodical, and rigorous.

It's disciplined and rigorous.

Also eruditem engaged and rigorous.

Like Tchaikovsky, in 4/4 time and rigorous.

Lessons are upbeat, fast-paced and rigorous.