Sentence examples for choice of basis from inspiring English sources

This provides for the broadest choice of basis functions.

We prove independence of the choice of basis functions, as well as several other basic properties.

We demonstrate that the choice of basis is not merely related to computing in finite precision arithmetic.

An inappropriate choice of basis can lead to ill-conditioned Gram matrices in the Rayleigh Ritz analysis that can delay convergence or produce inaccurate eigenpairs.

First, a suitable choice of basis functions is presented together with the mechanism to assemble them into an overall mesh consisting of coarse and fine mesh cells.

Let V1 and V2 be the discrete function spaces induced from these meshes by equipping them with some choice of basis functions.

Therefore, the function V x) must admit a spectral (e.g., Fourier) representation, and the choice of basis-functions can be conveniently adapted to boundary conditions and possible periodicities and/or symmetries inherent in the problem under consideration.

The design can be diversified by the ways of formulation and the choices of basis function vector.

There are many possible choices of basis functions.

There is, however, no "canonical" or preferred isomorphism; actually an isomorphism is equivalent to the choice of a basis of, by mapping the standard basis of to, via.

The cross-basis is specified by the choice of two basis, one for each dimension, among a set of possible options such as splines, polynomials, or step functions.