Sentence examples for analysis of the small time from inspiring English sources

We give a detailed analysis of the small time asymptotics of the Brownian paths reflected on the boundary of a polyhedron and we give a probabilistic proof of Chavel′s conjecture for small time t uniformly for all x and y in D when the closure of D is contained in D̃.

Unique aspects of our study, in addition to the location, include the use of personal PM2.5 monitoring at second-by-second resolution, allowing analysis of heterogeneity at small time scales.

Personal monitoring data include second-by-second measurements, allowing analysis of variation at small time scales.

This is partly due to the considerable time taken for the bioinformatic analysis of the small RNA sequencing data before these genes are selected for qPCR analysis.

Histological analysis of the small intestine 1, 3, and 7 days was used to examine the effect of NTIRE on the small intestine over time.

In this study, we focus on the analysis of the time course of a small number of important metabolites from central metabolism, because they can be highly informative and allow a clear distinction between metabolically different states.

To enable a discrete-time analysis, we use a small time unit τ p to discretize the time scale.

We used Kaplan-Meier plots and the log-rank test for the analysis of small bowel transit times.

One of the unpleasant results of the analysis in [17] is that unstable combinations of arbitrarily small time steps may appear even though many of them are very mild which are hard to notice are which only play a role in long-term simulation.

We now analyse the evolution of small time-dependent perturbations of the hyperbolic stationary-pulse solution through linear stability analysis.

Although political ethnography is time-consuming, the inferential strength added through the analysis of a small number of cases is likely to be worth the costs.