The phrase "a corresponding class of" is correct and usable in written English.
It can be used when referring to a specific category or group that relates to another category or group in a similar way.
Example: "In the study of animal behavior, researchers often identify a corresponding class of social animals that exhibit similar communication patterns."
Alternatives: "an equivalent category of" or "a related group of".
For each case, we exhibit a corresponding class of domains.
We also prove similar uniqueness results for a corresponding class of regularized stochastic 2D-Navier Stokes equations.
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.
The N-connection splitting on prolongation coalgebroids defines a corresponding class of almost complex structures, which for the canonical configurations are defined by the Hamiltonians.
By a corresponding class of nonholonomic transforms of the v-subspace, we can 'map' such gravity into a Lagrange algebroid: Theorem 20.
He did claim, however, to have proved that each phase in the development of production was associated with a corresponding class structure and that the struggle of classes led necessarily to the dictatorship of the proletariat, ushering in the advent of a classless society.
For the first two of these examples one has, historically, the logic determined by a characteristic matrix, and the corresponding class of algebraic structures determined later on.
We study a class Mp of measures and the corresponding class of non-linear variational μ-capacities, which are closely related to the study of limits of solutions of non-linear Dirichlet problems in open sets with holes.
It can be shown that for a fixed p≥1, the quantity ({mathcal Z}_{p}) is an invariant of the exponential tilting transformation for the corresponding class of Poisson-Tweedie mixtures with such p. This means that given p≥1, all the members of the class of Poisson-Tweedie distributions characterized by the same value of ({mathcal Z}) comprise their own natural exponential family (or NEF).
Based on various restrictions on the control design, optimal solutions within the corresponding class of event-based controller are derived.
