The generalized closure of a subset
S of X, denoted by [c.
Further, there is no open set in the domain containing p = 1 whose image is a subset
A difilter F x G on (S, S) is called regular if F [intersection] G = 0, or equivalently, A [not subset
or equal to] B [for all]A [member of] F and [for all] B [member of] G.
The semi-closure  of a subset
A of X, denoted by sCl(A), is defined to be the intersection of all semi-closed sets containing A in X.
Zadeh  introduced the notion of a fuzzy subset
of a set as a method for representing uncertainty in real physical world.
epsilon]](N) is a subset
of <U> since the diameters of the intervals about k in U tend to 0 as k [right arrow] [infinity].
A nonvoid family B of subsets
of a set X is called a filter base on X provided B does not contain the null set and provided the intersection of any two elements of B contains an element of B.
i])-regularly open subsets
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Lungs of mice infected with viruses carrying 1918 gene subsets
had far fewer immune cells in the lungs and less inflammation and cell death.
At the trial's end, 5 of the 15 subjects on the 100-mg dose in the efficacy subset
showed at least 15% improvement in 6-minute walk distance, with similar results for the other two efficacy criteria.
It is in this third subset
, usually representing 60% to 70% or more of all risks presented for assessment, where risk triage comes into play.
If not, the next question to ask is, "How can you create smaller subsets
of the database to perform testing efficiently and still have complete confidence that the applications are being tested with the realistic test data?