Sentence examples for and in the approximation from inspiring English sources

All the theoretical calculations were determined in gas phase and in the approximation of the isolated molecule, using GaussView05 program [32] and Gaussian09 [33] program package.

The perturbed system of exponents ({e^{ilambda_{n} t} }_{nin Z} ) plays an important role in the study of spectral properties of discrete differential operators and in the approximation theory.

The results allow to approximate locally bounded strictly positive functions with very good accuracy, with potential applications in e.g. image processing and in the approximation of fuzzy numbers, which are useful concepts in statistics, computer programming, engineering (especially communications) and experimental science.

More precisely, measurements performed on skim milk diluted in deionized water [35] show that, if the mixture is optically thin and in the approximation of spherical scatterers, deviates only slightly from the behavior, typical of the Rayleigh scattering regime, while assumes negative values for.

Under the requirement of low stress, and in the approximation of inexpensive homogeneous edges, maximum efficiency would be realized by a percolated landscape structured as a perfect "hairy ball", with all the nodes in the peripheral components directly attached to the core through leaf edges carrying at most a unitary load, thus not prone to bottleneck effects.

Therefore, the difference between mean species numbers for S6and S7in the full model and those in the approximation does not affect the error directly.

An adaptive Kriging model is established to improve the computational efficiency and numerical accuracy in the approximation of design functions.

The effects of the mesh size and of the accuracy order in the approximation of Euler and viscous terms are discussed.

Solving the coupled equations for the classical field and qubits numerically (still in the approximation of factorized qubit state) allows to investigate lasing in a QMM [31].

These results are new even for Hilbert spaces and their primary application is in the approximation of optimal constants and extremal functions for inequalities in Sobolev spaces.

Therefore, a failure of midline structures to develop – either the cloacal and urogenital sinus at the ventral side, or the somites and neural tube at the dorsal side – can result in the approximation and merging of the hindlimb fields.