Sentence examples for complete basis from inspiring English sources

It has been proved that this is the shortest possible single axiom that will give a complete basis for PIC with these transformation rules.

An even more economical complete basis for PIC contains the same transformation rules but the sole axiom[(p ⊃ q) ⊃ r] ⊃ [(r ⊃ p) ⊃ (s ⊃ p)].

by introducing a complete basis of operators on the Hilbert space.

The response of such systems can be expressed in the complete basis of multivariate Legendre polynomials.

The uniformly spaced infinite length sinc functions form a complete basis for the space of band-limited signals.

The Bernstein polynomials of th degree form a complete basis over, and they are defined by (2.1).

They enforce sparsity on the spatial spectrum and pose source localization as an over-complete basis representation problem.

In Section 3, we present the proposed CSI feedback approach that is based on a sparse approximation of the channel utilizing an over-complete basis decomposition.

where b n,j is the N s × 1 representation coefficient vector with respect to the above over-complete basis at frequency f j.

Sparse methods can also be directly extended to 2D situation, but they will significantly increase the dimension of over-complete basis or the dictionary [14].

A sparse representation is a decomposition of a signal on a very small set of components of an over-complete basis (called dictionary) which is adapted to the processed data.