Sentence examples for using the standard basis from inspiring English sources

However, using the standard basis we will identify and, and in that case and coincide in.

K1, k2, and Vb were also estimated at the voxel level for [15O]H2O using the standard Basis Function Method approach [15].

They have performed the quantum chemical calculations on the interaction of cytarabine with open-end SWCNT by means of the Gaussian 98 program package [29] using the standard 3-21G baset set.

In both cases, approximations of the QoI and the state variables are more accurate using the goal-orientated POD than using the standard POD basis with comparable online computational costs.

The initial geometry optimizations and frequency calculations were done at the Hartree Fock (HF) level of theory using the standard 6-31G* baset set which requests that a set of d function be included for each atom heavier and P function for hydrogen.

The optimized geometries, harmonic vibrational wavenumbers and intensities of vibrational bands of trans-3- trans-4-imidazolyl) trans-3- trans-4-imidazolyleen carried outrans-3- trans-4-imidazolyl trans-3- trans-4-imidazolyld,p) basis setrans-3- trans-4-imidazolylstigacrylic

Compared to reduced-order models using the standard proper orthogonal decomposition (POD) basis, these new goal-oriented POD basis functions lead to better approximations of given quantities of interest (QoI) while maintaining accuracy in the evolution of the state.

This can be done on a myocardial segmental basis using the standard 17-segment cardiac AHA model [91].

Densities were converted to concentrations on a per plate basis using the standard line for that plate and Excel (Microsoft).

The performance of the proposed bases is compared to the standard basis using Jacobi polynomials.

As this is not realistic, we have chosen to use the standard life expectancy tables as basis for the calculations (Gellert et al, 2012; Thun et al, 2013).