Sentence examples for a rigorous result from inspiring English sources

Even though, in the present model, we have introduced an attractive intra-molecular phonon term in an ad hoc way, we, therefore, do not claim to possess a rigorous result for the coupling strength parameters.

Later in 1999, Paullet[2] provided a rigorous result concerning the existence, uniqueness and qualitative properties of the solutions of Equations 1 and 2 for any α > 0 and H2 ≠ 0. Paullet's solution[2] for α << 1 matches with that of Mckee et al.[1], but there was a difference between the solutions of Paullet and Mckee for α >> 1.

Moreover, a typical rigorous result for an individual-based model of invasion dynamics may simply give conditions under which the probability of persistence is either positive or zero; see, for example, the recent result on surfing in E. Andjel, J. Miller and E. Pardoux, unpublished manuscript.

These differences may result in different subpopulations of antibodies being detected so that a positive result in both tests is a more rigorous result than one provided by a single test.

As well, due to time considerations, we re-explored only RM while a more rigorous result would require the re-exploration of FM as well.

In October, 1971, soon after the study's completion and before a single methodologically and analytically rigorous result had been published Zimbardo was asked to testify before Congress about prison reform.

In October, 1971, soon after the study's completion — and before a single methodologically and analytically rigorous result had been published — Zimbardo was asked to testify before Congress about prison reform.

In the following section, we will provide a rigorous convergence result when ε is fixed (especially we take ε = 1) and γ → 0. We state our result in the following section.

A rigorous theoretical result guarantees its convergence and provides tight preliminary scaling.

To the best of our knowledge, presently, there is no rigorous result on the attraction-repulsion chemotaxis model with nonlinear diffusion.

Attempting to prove this type of rigorous result on the VPG opens up new research directions in the field of combinatorial optimization.