Sentence examples for numerical justification from inspiring English sources

In this paper, we extend our previous work from [31, 32] in two specific ways: (i) we extend the network source model used from exactly sparse to near-sparse signals, and (ii) we provide a detailed mathematical and numerical justification of the usage of sparse recovery algorithms (including a bound on the reconstruction error) for this source model.

The obtained results by the use of steady state probability approximation method provide a numerical justification for the aforementioned simplification.

Through quantitative measurements, we can establish numerical justifications.

The scheme is demonstrated to be efficient through numerical experiments and reliable through rigorous mathematical justification.

Then, a case study is fully detailed, including the aspects of survey, advanced numerical analysis, diagnosis, justification of remedial measures and detailing of the adopted strengthening.

Here, a case study is fully detailed, including the aspects of historical, damage and geometric investigations, of advanced numerical analysis, of justification of remedial measures and of detailing the adopted strengthening.

Without the topology justification, the numerical comparison of functionalities among orthologous genes is doubted.

It is possible that this is not feasible for numerical reasons, but some justification of the approach would be useful.

A budget justification provides numerical detail explaining how you arrived at the amounts in the summary.

Therefore, this work is intended to be a first proof of concept, with theoretical justifications and numerical investigations, of the advantage of using available multi-modal observations for the estimation and identification of an electromechanical model of the heart.

This program deals together with, researches for mastering complex physical phenomena, set ups of robust and efficient numerical tools for design and justification, and identification of innovative manufacturing processes and hardware.