countable set

countable set
A set that is finite or can be put in one-to-one relation with the integers.

Wikipedia foundation.

Игры ⚽ Нужна курсовая?

Look at other dictionaries:

  • Countable set — Countable redirects here. For the linguistic concept, see Count noun. Not to be confused with (recursively) enumerable sets. In mathematics, a countable set is a set with the same cardinality (number of elements) as some subset of the set of… …   Wikipedia

  • Hereditarily countable set — In set theory, a set is called hereditarily countable if and only if it is a countable set of hereditarily countable sets. This inductive definition is in fact well founded and can be expressed in the language of first order set theory. A set is… …   Wikipedia

  • Set (mathematics) — This article gives an introduction to what mathematicians call intuitive or naive set theory; for a more detailed account see Naive set theory. For a rigorous modern axiomatic treatment of sets, see Set theory. The intersection of two sets is… …   Wikipedia

  • Set theory — This article is about the branch of mathematics. For musical set theory, see Set theory (music). A Venn diagram illustrating the intersection of two sets. Set theory is the branch of mathematics that studies sets, which are collections of objects …   Wikipedia

  • countable — /ˈkaʊntəbəl/ (say kowntuhbuhl) adjective 1. able to be counted. 2. Mathematics of or relating to a set whose elements can be arranged in an infinite sequence so that each element occurs exactly once: the set of positive integers is a countable… …  

  • countable — adjective Date: 1581 capable of being counted; especially capable of being put into one to one correspondence with the positive integers < a countable set > • countability noun • countably adverb …   New Collegiate Dictionary

  • set-top box — setˈ topˈ box noun A device that allows a conventional television set to receive a digital signal • • • Main Entry: ↑set * * * set top box UK US noun [countable] [singular set top box plural …   Useful english dictionary

  • Set theory of the real line — is an area of mathematics concerned with the application of set theory to aspects of the real numbers. For example, one knows that all countable sets of reals are null, i.e. have Lebesgue measure 0; one might therefore ask the least possible size …   Wikipedia

  • set-top box — ˈset top ˌbox noun [countable] a piece of equipment that allows you to use the Internet on your television, and to receive digital television * * * set top box UK US noun [C] COMMUNICATIONS ► a piece of electronic equipment that makes it possible …   Financial and business terms

  • set-up — ˈset up also setup noun [countable] 1. the way something is organized or arranged: • The trust will be managed by a board of directors, although that setup requires regulatory approval. 2. COMPUTING all the parts that work together in a system,… …   Financial and business terms

Share the article and excerpts

Direct link
Do a right-click on the link above
and select “Copy Link”