Sentence examples for unitary weights from inspiring English sources

We give the irreducible decomposition of the tensor product Hν1⊗Hν2 of the representations for any two unitary weights ν and we find the highest weight vectors of the irreducible components.

The distance between each data point and the fit (i.e., each residual) was weighted as follows: residuals for the asymptotic values have a unitary weight, positive residuals for the pre-step averages had a weight of 0.1 for the first step and 0.5 for all others, and negative residuals for the pre-step averages had a weight of 0.5 for the first step and 0.1 for all others.

Hardwood pulp fibres were better dispersed in the cement matrix and provided higher number of fibres per unitary weight or volume, in relation to softwood long fibre pulp.

To reduce this, the use of unitary weighting and bootstrap estimations of confidence intervals are presented.

This is followed by the launching of a large number of photon packets each initialized with a unitary weight.

The highest loading items were examined and a brief questionnaire was constructed with unitary weighting of the items, giving potential scores from 3 to 15.

For unitary highest weight representations we obtain a characterization of those highest weights for which the closure of the image of this map is convex, i.e., equal to the convex hull of the highest weight orbit.

In particular we construct the L2-realization of all unitary highest weight representations, including the vector-valued case.

The Fock model realization of unitary highest weight representations of U p, q) is the fundamental tool used to implement this construction.

We give a classification of the algebraic category of unitary highest weight modules for such Lie algebras and show that infinite dimensional versions of the Lie algebras so 2, n) have no unitary highest weight representations and thus do not meet the physical requirement of having positive energy.

In this paper we study spherical unitary highest weight representations associated to a compactly causal symmetric space and use the results to prove estimates for the corresponding spherical functions of the c-dual non-compactly causal symmetric space.