Sentence examples for expressions is established from inspiring English sources

The closed form of expressions is established for the stress singularity analysis near the corner with arbitrary vertex angles.

Rate expressions were established with model reactions.

Simple expressions were established to calculate moment capacities of hollow and concrete-filled FRP tubes.

A response surface method is used to fit the CFD solutions and polynomial expressions are established to calculate friction factor ratio (f/f0) and heat transfer enhancement (Nu/Nu0).

For this type of response process, the mean upcrossing frequency is found and asymptotic expressions are established that can be used to obtain closed form approximate solutions to the problems of extreme values or first passage of high levels.

General expressions are established for the axial and transversal velocity profiles which reduce to previously published simplified relationships when the channel is short and the membrane permeability is low.

Explicit analytical expressions are established relating the overall adsorption coefficient (and thus the retention time of the peak), to the pure component adsorption isotherms, to the mixture composition, and to the activity coefficients.

General algebraic expressions are established that systematically define the coupled effects of width-to-length aspect ratio of the mudmats and the degree of strength heterogeneity of the subsoil.

New expressions were established to predict the elastic modulus and the peak strain from the compressive strength of natural concrete.

In the present study, MMTV-polyomavirus middle T antigen (MMTV-PyVT) transgenic mice with reduced adiponectin expressions were established and the stromal effects of adiponectin haploinsufficiency on mammary tumor development evaluated.

Associations between driver aberrations and passenger expressions are established by a series of hypothesis testing procedures using logistic regression models.