Sentence examples for analytical expressions based from inspiring English sources

The approximate analytical expressions based on a Taylor series and an asymptotic form give reasonable agreement to exact solutions.

When the TEM-parameters are determined it is possible to deduce and propose rigorous analytical expressions based on curve-fitting techniques done under Origin50 graph environment.

Based on the FE determined loads between the interacting teeth, the contact pressures and the contact widths are then easily determined using analytical expressions based on Hertz theory.

Analytical expressions, based on an energy balance for each component, have been derived in terms of climatic as well as design parameters.

While the buckling loads are determined using the GBTWEB software, specifically developed for this purpose, the plastic loads are calculated by means of analytical expressions based on yield-line models.

In order to predict the failure of AZ31B Mg sheet at room temperature under uniaxial and biaxial loading paths, analytical expressions based on the maximum shear stress criterion in conjunction with the quadratic anisotropic yield function and plastic potential were developed.

An analytical expression, based on the anisotropic Blake Kozeny model, was developed with a particle blockage term that takes into account the effects of intermetallic particles on permeability.

A simple, closed-form analytical expression based on the homogenous solution diffusion model is derived for contaminant removal during nanofiltration (NF) of ground and surface water.

An analytical expression based on heat transfer analogy is derived in this work to describe the mass transfer in these hollow fiber cross-flow contactors.

The bending stiffness threshold as well as the two in-plane stiffness thresholds divide the bending stiffness behavior of CNT films into four stages, which is described by a simple piecewise analytical expression based on the energy theorems and superposition method.

The estimation of the mean square error (MSE) from a noisy image is performed using an analytical expression based on Stein's unbiased risk [11].