Sentence examples for dimensions were developed from inspiring English sources

Weighting across different dimensions were developed according to their importance.

In addition to statistics on the counts of articles by year and the first author's country of residence, ten interpreted dimensions were developed for classification of these articles.

The predicted maximum response value for HPR was 8.77 mL H2/L h at an initial pH of 7.92, light intensity of 8.37 klux, and Mo concentration of 0.44 mg/L.> Response surface plots in three dimensions were developed based on Eq. (5) with one variable being kept constant at its optimal level, and varying the other two parameters over the experimental range (Fig.  3a c).

An unsplit upwind method for solving hyperbolic conservation laws in three dimensions is developed.

The methods for simulating surface tension with smoothed particle hydrodynamics (SPH) method in two dimensions and three dimensions are developed.

A mathematical model of flow cell operation incorporating hydrodynamic and electrochemical effects in three dimensions is developed.

A second-order accurate interface reconstruction algorithm for both two-and-three developeds is develoned on unstructured hexahedral meshes.

A phase-field model for modeling the coring structure evolution and Ga homogenization kinetics in three dimensions is developed.

A fast multilevel wavelet collocation method for the solution of partial differential equations in multiple dimensions is developed.

A second separate RVE structure with equal dimensions was developed using finite element modeling to study the buckling in neat (homogenous) polymer.

A multiscale implementation of hybrid continuous/discontinuous finite element discretizations of nonlocal models for mechanics and diffusion in two dimensions is developed.