Sentence examples for of certain basis from inspiring English sources

To understand why Multigrid works so well, we need to think of the solution vector, and the error in the solution, as linear combinations of certain basis vectors, which are essentially sine-curves of different frequencies, the way one does in Fourier analysis.

This approach is basically built on assuming the approximate solutions to be linear combinations of certain basis functions.

Moreover, being linear methods, ICA, PCA and MNF assume that the observed data set is composed of linear combinations of certain basis.

The basic idea of the spectral methods is to express the approximate solution of the problem as a finite sum of certain basis functions (orthogonal polynomials or a combination of them) and then choose the coefficients in order to minimize the residual.

The main idea of all versions of spectral methods is to express the approximate solution of the problem as a finite sum of certain basis functions (orthogonal polynomials or a combination of them) and then choose the coefficients in order to minimize the difference between the exact and approximate solutions as well as possible.

The certain basis of endothelial dysfunction has not been exactly demonstrated; however, the association between derangements and deregulation of metabolic pathways in this condition has been now considered.

A differentiation matrix, (mathbf {D}), of size (n+1) in a certain basis is a nilpotent matrix of degree (n+1).

Moreover, where is any continuous function on Since in general it is not possible to calculate explicitly from a the sequence of functions we define in this work a new sequence of functions, denoted by obtained recursively making use of certain Schauder basis in (Banach space of those continuous real-valued functions on endowed with its usual sup norm).

This list should be drawn up on the basis of certain criteria, identified on the basis of Annex 1 of the Communication from the Commission to the European Parliament and Council on an External Strategy for Effective Taxation (COM 2016) 24 final).

It is this fact, (B1), that guarantees that if you can form a mental sentence on the basis of certain rules, then you can also form many others on the basis of the same rules.

The consortium agreed on a guiding principle for future policy recommendations: restricting firearm access on the basis of certain dangerous behaviors is supported by the evidence; restricting access on the basis of mental illness diagnoses is not.