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countable

countable

单语范例(未经PONS编辑处理)

英语
While the rational numbers are a countable subset of the reals, for example, the irrational numbers are a cocountable subset of the reals.
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Similar expressions are valid for electric charge or any other extensive quantity associated with countable objects.
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The set of discontinuities of a monotonic function is at most countable.
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The term enumerably infinite means countable using integers perhaps extending to infinity.
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More generally, any countable union of null sets is null.
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The classification is in terms of countable ordinal numbers.
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There are really two conditions: the "upwards" and "downwards" countable chain conditions.
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If not, then the union is even smaller and is therefore also countable by a previous theorem.
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An equivalent condition is that countable unions of closed sets are closed.
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Every countable limit ordinal requires replacement for its construction analogously to 2.
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