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Что (кто) такое countable - определение

SET WITH THE SAME CARDINALITY AS THE SET OF NATURAL NUMBERS

Countably infinite; Countable sets; Countable; Countably; Denumerable; Countably many; Countability; Denumerability; Countably infinite set; Denumerable Set; Denumerably Infinite; Countable space; Countable infinity; Denumerable set; Countable infinite; Countable Set; Infinitely countable; Infinitely countable set; Listable infinity

Countable

·adj Capable of being numbered.

countable

<mathematics> A term describing a set which is isomorphic to a subet of the natural numbers. A countable set has "countably many" elements. If the isomorphism is stated explicitly then the set is called "a counted set" or "an enumeration". Examples of countable sets are any finite set, the {natural numbers}, integers, and rational numbers. The {real numbers} and complex numbers are not [proof?]. (1999-08-29)

Countable set

In mathematics, a set is countable if it has the same cardinality (the number of elements of the set) as some subset of the set of natural numbers N = {0, 1, 2, 3, ...}.

https://en.wikipedia.org/wiki/Countable_set

Википедия

Countable set

In mathematics, a set is countable if either it is finite or it can be made in one to one correspondence with the set of natural numbers. Equivalently, a set is countable if there exists an injective function from it into the natural numbers; this means that each element in the set may be associated to a unique natural number, or that the elements of the set can be counted one at a time, although the counting may never finish due to an infinite number of elements.

In more technical terms, assuming the axiom of countable choice, a set is countable if its cardinality (the number of elements of the set) is not greater than that of the natural numbers. A countable set that is not finite is said countably infinite.

The concept is attributed to Georg Cantor, who proved the existence of uncountable sets, that is, sets that are not countable; for example the set of the real numbers.

https://en.wikipedia.org/wiki/Countable set

Примеры употребления для countable

1. Images of Lindsay Lohan‘s chest bones, desperately reaching out to greet strangers, or Keira Knightley‘s xylophone of vertebrae, countable at 30 paces, have burned themselves into our consciousness so that uber–thin no longer looks odd.

2. Barely countable millions, it seems, tuned in at all times of day (and night, for the highlights are invariably on in the small hours) to watch the two sides slug it out in the first real contests for years.

3. The barely countable millions so agonised by the whole thing that the only possible solution to our patriotic misery is to switch the TV off and pretend to do something else?