Sentence examples for a given basis from inspiring English sources

The version in Eulerian coordinates is fast; the fully-Lagrangian variant is much slower for a given basis size N, but is highly adaptive for advection-dominated flows.

In the second part, the authors propose a methodology to enforce that condition in order to perform an optimal reconstruction of the "closest" physical system starting from a given basis complex modes.

A brief review of major approaches that are suggested for the third step was given in Section 2. A signal x ∈ R n may be sparse in a given basis but not sparse in a different basis.

It is known that a multivariate function f can be well approximated by the linear combination of the elements of a given basis: f = ∑ k α k γ k (1).

The most important advantage of having (mathbf {D}) explicitly is that there is no need to go from one basis to another (normally monomial) to differentiate a polynomial in a given basis.

Let be a given stochastic basis; that is, is a complete probability space and is an increasing sub- -algebras of such that contains every -null subset of.

At the first step, the problem of determining the numerical representation (a i ) of a given decomposition basis with the best approximation to the analyzed curve is solved.

One is that a given Fourier basis is not well suited for modeling a wide variety of signals such as speech [17 20].

It is the vacant awareness of a given without a basis for belief, knowledge or action.

In this work, we propose a method to design sensing matrices with minimum coherence to a given sparsifying orthogonal basis.

First, given a basis matrix, learning the sparse coefficient of a new sample is called sparse coding.