Sentence examples for associated with basis from inspiring English sources

The coefficients associated with basis functions are estimated using a "sparsity-promoting" regression approach which is an ensemble of two techniques: least squares and ℓ1-norm regularization.

where are the sought parameters associated with basis vectors.

With dynamic relaying, relays can be associated with base stations on a need basis rather than in a fixed manner which is based only on initial radio planning.

The coefficients associated with the basis functions are obtained by a Galerkin type of error minimisation.

Let (∥dU x1St∥⩽c/t12, 0 < ⩽ 1) denote a continuous representation U of a Lie group G acting on a Banach space B and S the semigroup generated by the closed Laplacian associated with a basis of the Lie algebra g in the derived representation dU.

Tending to other details associated with carryover basis could be even more cumbersome.

Let, let, and let be the sequence of projections associated with the basis, then it holds that (2.10).

Then in essence, the reconstruction process is a function approximation problem, i.e., finding the coefficients associated with the basis functions.

We will denote by and, respectively, the sequences of biorthogonal functionals and projections associated with such basis, that is, given the (continuous) functionals verify (2.4).

The company charges a $10 fee to subscribe to its service, which, Walia argues, is better than the hidden fees associated with the basis points that most money managers charge.

Observations can also be associated with Euclidean basis vectors, and the aliasing map A has a natural extended interpretation as a |TO|-by-|TS| matrix mapping the state vectors to observation vectors.