Sentence examples for relation utilizing from inspiring English sources

The complex optical properties of the polymer component of the films, and the real component of the refractive indices of the liquid crystals, have been determined using a combination of transmittance spectroscopy and a Kramer's-Krönig dispersion relation utilizing reflectance spectra.

Before proving our results, it can be pointed out that earlier stated results of Babu and Alemayehu [1] can be deduced from Theorem 1.3 as inequality (1.1) falls in the format of implicit relation utilized in Ali and Imdad [3] while the notions of weak compatibility and occasional weak compatibility coincide in the presence of contraction conditions.

We designed separate extraction components for different types of temporal relations, utilizing a novel hybrid system that combines machine learning with a graph-based inference mechanism to extract the temporal links.

The linear dispersion relation was utilized.

To achieve history of stresses, displacement and creep strains, a numerical procedure using Taylor series and Prandtl Reuss relation is utilized offering radial, circumferential and effective stresses and strains histories.

The proposed model consists of three main rate-time relations and five supplementary rate-time relations, which utilize power-law, stretched exponential, hyperbolic, and exponential components to properly model the behavior of a given set of rate-time data from unconventional reservoirs.

In this work, we deal with the relation classification task utilizing a convolutional neural network (CNN) approach to automatically control feature learning from raw sentences and minimize the application of external toolkits and resources.

The results are transformed into regression relations to utilize its implementation in design and analysis.

These relations are utilized to develop evolutionary strategies for selecting an optimal measurement structure.

The classical plate theory is used to model the structural treatment and the von Karman strain displacement relations are utilized to involve the structural nonlinearity.

We mention that in Section  5, in order to prove the twenty Fundamental Relations, we utilize a computer-assisted method which is based on a variant of a well-known lemma tracing back to Newman (Lemma 5.1).