Sentence examples for expressions are found from inspiring English sources

Analytical expressions are found as ε is varied from small to large values.

In this process, strikingly simple expressions are found, constituting the theoretical maximum stroke volume of a circular bender type actuator.

Analytical expressions are found for the coupled wavenumbers in an infinite fluid-filled cylindrical shell using the asymptotic methods.

Analytical expressions are found for the wavenumbers and resonance frequencies in flexible, orthotropic shells using the asymptotic methods.

Using properties of Hamiltonian formalism, generalized expressions are found for the acoustic pseudo-energy density and flux.

Expressions are found for the eigenvalues and eigenfunctions of each cyclically symmetric segment, and the segment results are analytically extended to represent the entire structure.

Their facial expressions were found to become more specific and more appropriate to the situation over time.

Nevertheless, the UV-induced recA expressions were found to differ in the bacteria under investigation.

Correlation between several semaphorin expressions was found positive.

β-Actin and RARα expressions were found stable across samples.

Significant decreases in expression are found in all of these genes in the 5q– versus normal individuals (P<0.05).