Sentence examples for represented in this basis from inspiring English sources

The data in (1) is represented in this basis as follows: (3).

The common situation in these applications is, that polynomials given in the basis of degree n have to be represented in the basis of higher degree.

In other words, the point group consists of all the orthogonal matrices which can be represented in the basis B as integral matrices.

The linear approximation problem of re-projection of a signal represented in one basis onto another basis as addressed in this article, correlates with the problem considered in the compressive sensing (CS) literature [33].

This modification is designed with respect to easy implementation of both multiplication and inversion over elements of GF 2m) represented in normal basis.

Finally, Dadkhahi et al. [23] offer a different approach to sparse representations: a reprojection of a signal represented in one basis onto another basis.

We have compared our results with those corresponding to a polynomial represented in power basis and using Legendre and Chebyshev forms.

A compressible signal means that it can sparsely be represented in some basis, and can exactly be reconstructed only with a small set of random projections on an incoherent basis[8 10].

Eliminating E r and E θ from Eqs. (19)–(22) yields a second order partial differential equation (PDE) for the current stream function ψ: (24 where (25) (26) (27)and the conductivity tensor σ is represented in a basis of spherical coordinates.

For numerical implementation of the model, the above Hamiltonian needs to be represented in a suitable basis.

Again, for numerical evaluation, quantum kinetic equations and self-energies need to be represented in a suitable basis.