Sentence examples for a collection of subsets of from inspiring English sources

In Fault-Tolerant Group-Steiner problems, we are given a graph with edge- (or vertex-) costs, a root vertex, and a collection of subsets of vertices called groups.

To better understand these cellular structures we model and analyze these cells as a collection of subsets of all participants in the covert organization, i.e., as hypergraphs or affiliation networks.

An incomplete t-wise balanced design (ItBD) of type t- v,h,K,λ) is a t- vle (X,h,K,λwhere X is a v-elementripleof points, H is an h-element subset H⊆X called the hole,H,Bd B is a collection of subsets of X called blocks, such that the size of every block B∈B is in K and every t-element subset of X is either in the hole or in exactly λ blocks, but not both.

Definition 2. Given a collection of subsets of, a function is a fractional partition if for each, we have.

Essentially, a benchmark family is a collection of subsets of (mathcal {X}) that contain reference or test objects.

The complete set of resulting defaults from K can be partitioned into a collection of subsets of defaults, where defaults in a given subset have the same consequence.

For any collection of subsets of, let be a fractional partition.

These laws are better understood in terms of the basic example of a BA, consisting of a collection A of subsets of a set X closed under the operations of union, intersection, complementation with respect to X, with members ∅ and X.

If { F i } is a countable collection of subsets of R α such as E ⊂ ⋃ i = 1 d F i and 0 < | F i | < δ α, then { F i } is δ α -cover sets [9, 10].

Let $W$ be a set with elements $s$, and consider an initial collection of subsets of $W$, e.g., the singleton sets $\{ s \}$.

For a k-place predicate variable P, M ⊨ ∀P φ[s]   iff   for every k-ary relation Q in the k-place relation universe, we have M ⊨ φ [s′] M ⊨ ∀F φ[s]   iff   for every k-place function G in the k-place function universe, we have M ⊨ φ [s′] But for second-order logic, we do not really want the 1-place relation universe to be an arbitrary collection of subsets of the universe.