Sentence examples for consequence of the nonlinear from inspiring English sources

The dissipative oscillations that are a consequence of the nonlinear reaction rate equations create and simultaneously disperse nanoparticles and nanobands depending on the initial temperature, composition and other process conditions chosen.

As a consequence of the nonlinear alternative of Leray-Schauder type, we deduce that has a fixed point in which is a solution of the problem (1.1).

As a consequence of the nonlinear alternative of Leray-Schauder type [19], we deduce that F has a fixed point x in U ¯, which is a solution of problem (1), (2) and (3).

As a consequence of the nonlinear alternative of Leray-Schauder type (Lemma 3.1), we deduce that (mathfrak{S}) has a fixed point (yinbar{U}) which is a solution to problem (1 - 3).

As a consequence of the nonlinear alternative of Leray-Schauder type [25] we deduce that A has a fixed point u in U ¯ which is a solution of problem (1.1).

The laboratory tests were aimed at validating the hypothesis that seismic waves such as those recorded during the explosive activity, in both the horizontal and vertical directions, can cause significant offsets in the gravity measurement as a consequence of the nonlinear effects on the instruments.

However, current romiplostim treatment strategies tend to produce undesirable responses where platelet count oscillates between dangerously low and extremely high values, as a consequence of the complex nonlinear dynamics associated with platelet production.

It is found that problems with the dynamics are a consequence of the intrinsic nonlinear nature of these models.

A consequence of this nonlinear behavior is that there is a diminishing marginal increase in reported IFs as more conditions are added.

For instance, in the case of a signal from nonlinear processes to describe the deformed wave profiles which are the direct consequence of nonlinear effects, the Fourier spectral analysis, which is based on a linear superposition of trigonometric functions, needs additional harmonic components.

Therefore, another possible explanation for the different polarization angles observed in this case would be that instead of being two separate emissions, we are actually observing a single chorus emission without a clear gap at the half-gyrofrequency (0.5 fce) as the consequence of nonlinear damping due to the inhomogeneity of the static magnetic field (i.e., Omura et al. 2009).