Sentence examples for difference between the stochastic from inspiring English sources

This first step of computing individual correlation dimensions already hints at a difference between the stochastic ISI series and the fly series: all four traces appear very similar, but the fly data each converge on a specific dimension while the cox series diverges with increasing embedding dimensionality (Fig. 4a).

The single difference between the stochastic and deterministic versions of the model is the population size, which is finite in the stochastic and infinite in the deterministic model.

It seems that the difference between the stochastic- and dispersion-modeled NO2 concentrations is rather constant for all measurement sites (slope of the regression equation ~1), whereas the difference between the stochastic-modeled PM2.5 levels and dispersion- modeled TSP values is more site specific and increases for higher PM concentrations (slope of the regression equation > 3).

The difference between the above two stochastic elliptic models has not been fully clarified.

The difference between the size dependent stochastic bounds and the classical deterministic bounds demonstrates the size effect of RVE.

The main difference between the deterministic and stochastic version of this model are that the former considers the transitions at the population level.

From Theorems 4.1 and 4.2, it can be seen that there is a significant difference between the thresholds of the stochastic system and the deterministic system, from which it can be concluded that the conditions for two epidemic diseases to go to extinction in the stochastic system are weaker than those of the deterministic system.

This number is large enough that the difference between a stochastic and deterministic simulation is often unimportant; however, in this case, the large number of different FOXO species means that the copy number of each species can still be low – a situation that will arise commonly if multiple regulations are included in a model [93].

In order to illustrate the dynamic difference between the deterministic system and the stochastic system, there have been given a series of numerical simulations by using different noise disturbance coefficients.

To illustrate the dynamic difference between the deterministic system and the stochastic system, we next carry out some numerical simulations of these cases with respect to different noise disturbance intensity using the Euler Maruyama (EM) method [36, 79].

The correction term is derived from an approximation of the difference between the exact solution of stochastic differential equations and the Milstein continuous-time extension.