Sentence examples for weight function such from inspiring English sources

Let (psi in L^1_{ell oc}({mathbb B}_n)) be a weight function such that begin{aligned} sqrt{-1}partial bar{partial }psi ge -omega _P.

Let and be two twice continuously differentiable functions defined on the bounded interval, which satisfy the requirement (2.1) and let be arbitrary nonnegative weight function such that condition (2.2) is fulfilled.

Lemma 2.3 If ω is a slowly increasing weight function such that ω ( x ) ≤ C 1 ( 1 + x 2 ) N = υ ( x ) and f ∈ W ( L p, L ω q ), then D y p f ∈ W ( L p, L υ q ).

This particular shape of the weight function would have been difficult to obtain with other conventional weight functions such as exponentially declining, or s-shaped weight functions.

In other words, non-constant weighting function, such as the weighting functions proposed in literature, lead to a reduced SNRHDR.

An iterative technique is also incorporated to adjust the weighting function, such that the peak absolute error of variable frequency response can be reduced drastically.

The method has been enhanced by introducing a pre-filter or a weighting function such as maximum-likelihood (ML), phase transform (PHAT) and so on.

We extract from the speech signal itself, the points which are physically susceptible of attaining larger values of residuals and we construct the weighting function such that the error at those outliers is less penalized.

We first extract from the speech signal itself, the points having the potential of attaining largest norms of residuals (the glottal closure instants) and then we construct the weighting function such that the prediction error is relaxed on these points.

A distance function d is called circular if there exits a circular split weight function ω such that d = d ω.

Assume N is a normal network with weight function ω such that ω a, b) >0 if b is normal.