Sentence examples for expressions was derived from inspiring English sources

Through the Butler-Volmer equation for electrode kinetics, a series of expressions was derived assuming each step of the proposed carbon oxidation mechanism is in turn the rate determining step (RDS).

A reduced-form dispersion model using analytical expressions was derived that obtained comparable predictions to CALINE4, guided by the results of the sensitivity analysis.

Closed form expressions are derived to characterize these response fluctuations.

Explicit expressions are derived for the complex field potentials.

Analytical expressions are derived for the transfer matrices.

Mathematical expressions are derived for both methods and compared.

Analytical expressions are derived and verified by simulation.

All the calculation expressions are derived from theoretical modeling.

Analytical expressions were derived from modified Bloch equations.

Expressions are derived for the Reynolds, Prandtl, and Nusselt numbers.

The closed-form expressions are derived and related performance analysis is explored.