Sentence examples for mathematical models utilizing from inspiring English sources

Mathematical models, utilizing a simplified population balance approach in the "film zone", have been developed to determine the extent and nature of the transient effects due to the microphase, which are ignored in the quasi-steady-state versions.

This article focuses on discussing basics of SANS and data analyses, which include varying types of mathematical models utilized to elucidate supramolecular nanoassemblies in solution and soft matter (gel and polymers).

Moreover, such studies about ascending aorta aneurysms are methodologically heterogeneous, with respect to the biomechanical parameters and the mathematical models utilized in the analysis of aortic wall elasticity: therefore, experimental results are still inconclusive and often conflicting so far [ 3– 6].

The controller design is based on a port-Hamiltonian representation of the mathematical model utilizing the fundamental thermodynamic relations of an isentropic fluid.

This study addresses gas control in a typical "room-and-pillar" structure in an underground coal mine via mathematical model utilizing commercial computational fluid dynamic software.

Effort has been focused on: the development of mathematical models by utilizing multivariate understanding of process and product data, visually identifying design targets a priori, and decomposition of the design problem by incorporating the concept of reverse problem formulation and property clustering techniques.

The dimensional response surface plots and the contour plots derived from the mathematical models were utilized to determine optimum conditions.

Third, experiments and mathematical models are utilized to study the effects of the frictional guide and normal load application locations on a shift in the center of contact force.

The mathematical state space model utilizing the representation of the machine in synchronously rotating reference frame, where by the direct and quadrature axes are rotating at synchronous speed are presented.

In most application modes additional data acquisition such as CT scanning of the knee was necessary as a prerequisite for the generation of a mathematical 3-D model utilizing an iterative model-fitting approach.

The mathematical model was utilized to formulate liquisolid powder systems.