Sentence examples for a general proof of from inspiring English sources

In [6], Bambusi and Graffi gave a general proof of reducibility of quasi-periodically forced PDEs.

Among these were the Duhem Margules and Gibbs Duhem equations, which deal with reversible processes in thermodynamics as quasi-static limiting processes and give a general proof of the Gibbs phase rule.

Even if the numerical approach is widely used, surprisingly there has been no attempt in the literature to provide a general proof of the equilibrium existence and uniqueness of systems modeling the thermal decomposition of polymer materials.

Although so far known power functions fulfilling (15), (16) have this property (i.e., power functions on ℝ, h Z, q Z ¯ and T ( q, h ), as well as the ones obtained numerically), a general proof of nonnegativity of solutions of (15), (16) is still an open problem.

Here, we cannot provide a general proof of principle, but an initial set of evidence to substantiate this hypothesis.

Consequently, a general proof of existence appears intractable in this model but existence can be demonstrated within the special case where s → 0. Here, the model collapses to some standard search models and so we can apply previous results.

Through design and process modification many of these constraints have been addressed, and a microfluidics-based device capable of real-time monitoring of the pH change caused by Lactobacillus casei fermentation is presented as a general proof-of-concept for a wide array of possible devices.

This does not represent a general proof and exhaustively analysis of convergence, but can sufficiently be highlight how such scheme need fewer iterations as the SNR increases.

But their application is limited to certain sub-problems, and do not yield a fully general proof of the lack of constraints for arbitrary I. [4.] This argument, especially the second illustration of it, is similar to the one in Horwich 1987, p 124-128.

Altogether this provides general proof-of-principle that the genes we identified as part of the response towards aberrant tissues can be studied at the functional level and that Santa-maria in particular acts as a positive regulator of the phenotypes we observe upon RasV12-expression.

To approach this hypothesis the present work provides the general proof of concept that an individualized finite element based simulation of a tibia nonunion which is subjected to physiologic loading, requires less than full circumferential fusion to achieve physiologic load bearing capacity.