Sentence examples for with respect to a weighted from inspiring English sources

Then the choice of the collocation points as zero of Jacobi polynomial is analysed and interpreted as an optimal choice with respect to a weighted norm.

The discrete associated Legendre functions Pnm θi) are shown to be orthogonal, to within roundoff error, with respect to a weighted inner product, thus providing the forward transform to spectral space.

Discrete orthogonal polynomials are orthogonal with respect to a weighted discrete inner product.

We will give the analogue of the Lebesgue-Radon-Nikodym theorem with respect to a weighted p-adic q-measure on Z p. In a special case, when the weight q x is 1, we can derive the same result as Kim et al. [9].

We give the analogue of the Lebesgue-Radon-Nikodym theorem with respect to a weighted p-adic q-measure on Z p. In a special case, when the weight q x is 1, we can derive the same result as Kim et al. (Abstr. Appl. Anal. 2011 637634, 2011).

The generalized assignment problem now is to find a maximum weighted ℓ-partitioning (with respect to a suitable weighting scheme); we will treat ℓ as a variable that is to be maximized along with the actual partitioning.

The use of the method leads to the structuring of a scenario-specific policy framework matching, in a way, to each specific scenario the most effective policies and policy measures, based upon their performance with respect to a set of weighted criteria, using a simple grading scale [12].

This can be regarded as a φ-mean of {x, y} with respect to a probability measure which represents a weighted arithmetic mean (1-t) x + ty.

An option's expected utility is its probability-weighted average utility with respect to a partition of dependency hypotheses Ki.

In [ 8] the Shapley value ψ x s h (T ) of a taxon x ∈ X with respect to an unrooted, edge-weighted phylogenetic tree T = (V, E, λ ) is defined as follows: ψ x s h (T ) = 1 n !

The SVM selection of the best hyper-plane induces a different and weighted choice of the components with respect to a simple statistical classifier (as highlighted in Figure 5).