Sentence examples for utilizing results from inspiring English sources

In this paper, we use the G-equation to describe the flame dynamics and, utilizing results for Hamilton Jacobi equations from the Aubry Mather theory, demonstrate both the utility and limitations of leading points interpretations for front propagation, at least for deterministic problems.

The outer loop is designed for stability and robust performance by utilizing results from structured singular values (μ-synthesis).

Emphasis is placed on deriving explicit conditions on the system parameters that will lead to forms of the evolution equations which can be studied in detail, by utilizing results from the area of dynamical systems.

Utilizing results obtained with composite particles prepared under different HEBM conditions, it is shown that carbon diffusion through the tantalum grain boundaries and subsequent formation of a Ta(C) solid solution defines low temperature ignition of mechanically fabricated particles.

This comparison highlighted the importance of: (1) using multiple techniques to examine scales of pattern in ecological data; (2) interpreting analysis results in concert with examination and ecological knowledge of the original data; and (3) utilizing results to direct subsequent descriptive and experimental examination of features or processes inducing scales of pattern.

In this section, utilizing results from Section 3.1, convergence of Algorithm AWCR will be strictly proved under a weaker assumption.

This proposed new approach utilizes results from simulation to adapt the importance sampling density to the specific problem.

The analysis utilizes results of Kachanov et al. (Appl. Mech. Rev., 1994, 47, 151) on materials with pores of diverse shapes and orientations.

The linear bandit algorithms, which utilize results from the designed experiment as an initial seed, are then used to select a treatment combination in each step or trial.

It utilizes results from a comprehensive field study in which 98 VOCs were measured both inside and outside of 159 residences in three communities in southeast Michigan, USA.

We utilized results from 39 published genome-wide association studies on these five human diseases available in the GWAS catalog [4] and found genetic mutations in 179 genes passing the statistical significance threshold of 10−5 (Table 1).