Sentence examples for corresponding class of from inspiring English sources

The leader in the endeavours to make Cartan's theory, which was confined to Lie algebras, yield results for a corresponding class of Lie groups was the German American Hermann Weyl.

In a detailed development of NBG, however, there appears instead a list of seven axioms (not schemas) that state that, for each of certain conditions, there exists a corresponding class of all those sets satisfying the condition.

For each case, we exhibit a corresponding class of domains.

Based on various restrictions on the control design, optimal solutions within the corresponding class of event-based controller are derived.

We also prove similar uniqueness results for a corresponding class of regularized stochastic 2D-Navier Stokes equations.

If both subtractions agree in sign, the chosen Class is the corresponding class of that sign (removed for negative values).

We note that these kind of generalizations make sense, since they extend and cover those corresponding classes of proximal contractive mappings defined in [35].

Such geometric constructions can be adapted to the prescribed N-connection structure on Riemmann-Cartan spaces provided with corresponding classes of nonholonomic (N-adapted) frames.s.s

Theorems 5 and 6 concern local asymptotics in the case where the corresponding classes of Poisson-Tweedie mixtures converge to a Poisson limit.

It was shown in MS98 that both decisions have the best asymptotic rates as t→∞ uniformly over arbitrary noise distributions and the set of significant parameters in the corresponding classes of tests.

Some recent contributions on the following problems are considered: firstly, for each balanced-type condition determining the corresponding spectrum for a given graph Γ; secondly, in case some balanced-type spectra coincide for a given graph Γ, checking if the corresponding classes of balanced-type Γ-designs coincide as well.