Sentence examples for a characterization is given from inspiring English sources

Perturbations in the norm are also considered and a characterization is given for pairs of unitary operators which are local minimum points for the commutator norm in the finite-dimensional case.

A characterization is given for the conditionMU⩽k, wherekis a positive integer, from which it follows that aC*-algebra has all upper multiplicities finite if and only if it has bounded trace.

Such a characterization was given in [13] as an application of the boundedness of (M_{b}) on Lebesgue spaces.

The aggressiveness of a PI controller is defined and a quantitative characterization is given in relation to the ratio of the proportional and integral actions of the controller.

A detailed characterization is given to covariant instruments in the case of an irreducible representation of a locally compact group.

A geometric characterization is given for invertible quantum measurement maps.

A comprehensive characterization is given and design charts are introduced to facilitate optimizing the performance of the injector.

A simple characterization is given of finitely generated subspaces of L2 Rd) which are invariant under translation by any (multi integer, and is used to give conditions under which such a space has a particularly nice generating set, namely a basis, and, more than that, a basis with desirable properties, such as stability, orthogonality, or linear independence.

For a certain important class of binormal operators a simple measure-theoretic characterization is given for reflexivity.

A necessary and sufficient characterization is given that specifies which sets of sums of translations of radial functions are dense in the set of continuous functions in the plane.

This characterization is given by a constructive approach.