Sentence examples for demonstrates the rate from inspiring English sources

As the additive noise converges to zero, for the nonlinear Schrödinger equation with a power-type nonlinearity, Gautier [9] established a large deviations principle, which demonstrates the rate of convergence to zero of the probability that paths are in sets which do not contain the deterministic solution.

Langmuir kinetic model [20], [34] demonstrates the rate equation for dissociation of molecules (proteolysis of peptides) on the surface.

Figure 1 demonstrates the rate of growth of these teams.

As figure 7 demonstrates, the rate of synonymous substitution decreases as expression level increases with either type of selection.

Some examples and numerical experiments demonstrating the rate of convergence in the obtained asymptotic results are presented.

We sought to demonstrate the rate of change in distortion product otoacoustic emission (DPOE) amplitude with age in relation to hearing loss in an unselected adult population.

For the white noise case, we demonstrate the rate performance of the ZF receiver for the N-dimensional CM-DM system model considered here.

However, as Stephen Daggett of the Congressional Research Service has demonstrated, the rate of increase in the cost of military pay and benefits drifted far above what was typical for private-sector workers after fiscal year 2000.

There, Yamen heard about a study from Norway that had demonstrated the rate of stillbirths among expectant mothers who had received training in systematically tracking fetal movement fell by more than 40percentt.  .

The tpTAIL-PCR technique was used to demonstrate the rate of LDT and to understand the consequences of LkDT in the families studied.

A dose response for A. paniculata was demonstrated; the rate of mucosal healing for the 1,800-mg 1,800-mg significantly greater than placebo whereas the 1,200-mg dose was not.