Sentence examples for analysis we established the from inspiring English sources

Finally, by applying the EJA tool to our analysis, we established the iteration complexity (mathcal{O}(rlogvarepsilon^{-1})) for the NT-direction.

By this analysis we established the percentage of G1, S and G2 cells in a cell population.

In this analysis, we established the correlation between the degree of patient sickness and the sufficiency of data of their health records, for inclusion in research.

By using fixed point theory and set-valued analysis, we establish the existence theorem of equilibrium point.

By adopting the framework of wavelet analysis, we establish the asymptotic minimax rate of convergence under the Lp risk over Besov balls.

Here, using data on a large group of Irish manufacturing plants and econometric analysis, we establish the short- and longer-term influence of plants' adoption of quality improvement methods (QIMs) on product innovation performance.

In the course of the analysis we establish the pointwise convergence of the trace of the solution along a path of extremum.

By means of a delicate analysis, we establish the existence and uniqueness of a global solution to the HJB equation in two main steps.

Before starting the analysis, we established an initial categorising system based on the moderator's guide (shown in Table 1).

For further analysis, we established isogenic lines homozygous for the insertion mutation with individuals from each of the three populations where they occurred (Okayama, Tokyo, and Ivory Coast).

Before data retrieval and analysis, we established a statistical analysis plan outlining the cohort, the hypothesis, and primary outcomes.