Sentence examples for formulate an expression from inspiring English sources

These results were used to formulate an expression for the fracture toughness of the thin films directly from the acoustic signal, with comparable results to the standard indentation-based measurement.

We can now formulate an expression for R x ~ n | y ~ n ( dt ), H ~ ̂ n by assuming that LMMSE estimatorb has been used to estimate x ~ n : R x ~ n | y ~ n ( dt ), H ~ ̂ n = R x ~ n − R x ~ n, y ~ n ( dt ) R y ~ n ( dt ) R y ~ n ( dt ), x ~ n, (F.4).

We also formulated an expression for updating the permeability of all materials, which is consistent with the steepest descent of the objective function.

We formulate an energy expression to derive the fcc martensite formation stress, incorporating the transformation shear energy and the elastic interactions of the dislocations.

By superposing the photovoltaic and the converse piezoelectric effects, we formulate a novel expression for photo-induced strain that is nonlinearly dependent of incident light intensity and varies with light penetration depth in through-thickness direction.

Since the exact mechanism for this process is unknown we formulate a heuristic expression that decreases the rate as a function of the number of molecules inside the chamber and the maximal capacity (see Supplementary file 1, section 2).

We have formulated an analytic expression for the electroreflectance (ER) spectrum associated with the valence donor transition in terms of the nonlocal description of optical response, a more rigorous approach than the long-wavelength approximation.

In this work a different Robust Design Optimization (RDO) approach is proposed implementing the concept of Variability Response Function (VRF), which is a function that when combined with the power spectral density of the stochastic field that models the system's uncertainty, formulates an integral expression for the variance of the system's response.

Onsager also was able to formulate a general mathematical expression about the behaviour of nonreversible chemical processes that has been described as the "fourth law of thermodynamics".

Haferlach et al. [6] formulated a gene expression profiling classifier to place patients into 18 different subclasses of either myeloid or lymphoid leukemia.

Numerous attempts were made in formulating a general expression to describe the kinetics of adsorption on solid surfaces for the liquid solid adsorption system (Ho 2004).