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Let A and B be closed subsets of a topological space X, with A∩B and A∪B connected subsets of X.
The method uses empirical data to construct a suitable cover of the space from finite subsets of our space.
A structure S for a TBox T consists of a non-empty set O together with subsets S(C0 ) ⊆ O and S(R0 ) ⊆ O × O for all basic concepts R0 and basic roles R0 , respectively, and individuals a ¯ ∈ O for all a ∈ I0 .
Sketch the following subsets of the real numbers on a number line (a) [−4, 12) (b) (−∞, 0] (c) x − 3 ≤ 5 (d) x is no larger than 9.
0 1 2 n Exercise 6 Use the Binomial Theorem to determine the number of subsets of an n-set with an even number of elements.