Sentence examples for class of sets from inspiring English sources

But also for a certain class of sets with less smooth boundary our approach works for all points in Ω, where the drift term is not singular, and at least some points from ∂Ω.

The third, considered by various researchers, concerned the possibility of computing a wider class of sets than are accessible to Turing machines by adding a random component to the machine itself.

For an asymptotic ℓ1spaceXwith a basis (xi) certain asymptotic ℓ1constants,δα(X) are defined forα<ω1.δα X) measures the equivalence between all normalized block bases (yi ki=1of (xi) which areSα-admissible with respect to (xi) (Sαis theαth-Schreier class of sets) and the unit vector basis of ℓk1.

This is defined as the union of a class of sets containing the empty set (the initial object in the category of sets) and closed under the power-set operation and under transfinite unions thus, as a subcategory of the category of sets.

For example, it follows at once from (i) and (ii) that Ø (the empty set) belongs to the class M. Since the intersection of any class of sets can be expressed as the complement of the union of the complements of those sets (DeMorgan's law), it follows from (ii) and (iii) that, if A1, A2,… ∊ M, then A1 ∩ A2 ∩ ⋯ ∊ M.

This class of sets is the class of constructible sets.

Contemplation of the models only confirms the impression that the correct analogue of the proper class category of sets and functions in ZFC is the proper class category of s.c. sets and functions in NFU!

The development of cloud-based video and streaming have led to a different class of set-top boxes.

In Section 3, we establish the coderivative of a class of set-valued map.

In particular, we provided solution algorithms for a certain class of set-valued optimization problems.

First, we discuss the regular coderivative, the normal coderivative, and the mixed coderivative of a class of set-valued maps.