Sentence examples for using the general expression from inspiring English sources

The solution is obtained by using the general expression for a biharmonic stress function in bipolar coordinates.

The law of the approach to magnetic saturation (LAS) was analyzed using the general expression with the correlation function C(r = x/Ra) of magnetic axes, Ra being the magnetic anisotropy correlation length.

The values of the coefficients for a single layer are obtained using the general expression developed by Romanov et al. [48] as (K_{xy} = 2r_{text{A} } left[ {sin psi_{x} m_{x} - sin psi_{y} m_{y} } right],) where (psi) denotes the angle between TD line and surface normal and m indicates the direction of dislocation motion.

From these data, we first calculated the electrochemical potentials of K + (E K) and Ca 2+ (E Ca) across the lysosomal membrane using the general expression   E C z +   =   R T z F   ln   [ C z + ] out [ C z + ] in where R is the universal gas constant, T the absolute temperature, C z+ is a z-valent cation, F is Faraday's constant.

In this work, as well as using the general expressions for heat and work streams, a new general expression for calculating exergy of material stream in process simulators has been developed.

In this work, as well as using the general expressions for heat and work streams, the whole exergy balance is presented within only one software in order to fully automate exergy analysis.

Using the general solution, analytical expressions of thermal distortion and associated internal forces for commonly used end supports are obtained.

Significant effects of stress on gene expression were detected using the general linear models procedure using PC-SAS (Version 9.1).

Frequency equations of some simpler systems are also obtained from the general expression by using limiting processes.

Therefore we use the more general expression (1) instead of expression (2).

The solution is then used to obtain the general expressions for both responses and loads.