countably infinite set
countably infinite set
[′kau̇nt·ə·blē ‚in·fə·nət ′set] (mathematics)
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Markov chain [mathematical expression not reproducible] takes values in a countably infinite set D with transition probability matrix P = [p(i,j)], where p(i, j) = P([s.sub.t+1] = j | [s.sub.t] = i), and P is nondegenerate, P([s.sub.0] = i) > 0 for all i [member of] D.
Let x = {[x.sub.i], [x.sub.2], ...} be a countably infinite set of variables.
40, a set X being infinite, it can be expressed as a disjoint union of a class C of countably infinite sets that is, each of which has cardinality [omega].
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