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compact cd

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1) "Compact" -- As to compact cd 1com·pact Pronunciation: k&m-'pakt, käm-', 'käm-" Function: adjective Etymology: Middle English, firmly put together, from Latin compactus, from past participle of compingere to put together, from com- + pangere to fasten -- more at PACT 1 : predominantly formed or filled : COMPOSED, MADE 2 a : having a dense structure or parts or units closely packed or joined <a compact woolen> <compact bone> b : not diffuse or verbose <a compact statement> c : occupying a small volume by reason of efficient use of space <a compact camera> <a compact formation of troops> d : short-bodied, solid, and without excess flesh 3 : being a topological space and especially a metric space with the property that for any collection of open sets which contains it there is a subset of the collection with a finite number of elements which also contains it - com·pact·ly /-'pak(t)-lE, -"pak(t)-/ adverb - com·pact·ness /-'pak(t)-n&s, -"pak(t)-/ noun Pronunciation Symbols In mathematics, a subset of Euclidean space Rn is called compact if it is closed and bounded. For example, in R, the closed unit interval [0, 1] is compact, but the set of integers Z is not (it is not bounded) and neither is the half-open interval [0, 1) (it is not closed). A more modern approach is to call a topological space compact if each of its open covers has a finite subcover. The Heine–Borel theorem shows that this definition is equivalent to "closed and bounded" for subsets of Euclidean space. Note: Some authors such as Bourbaki use the term "quasi-compact" instead and reserve the name "compact" for topological spaces that are Hausdorff and compact. 1 History and motivation 2 Definitions 2.1 Compactness of subsets of Rn 2.2 Compactness of topological spaces 3 Examples of compact spaces 4 Theorems 5 Other forms of compactness 6 See also 7 References The term compact was introduced by Fréchet in 1906. It has long been recognized that a property like compactness is necessary to prove many useful theorems. It used to be that "compact" meant "sequentially compact" (every sequence has a convergent subsequence). This was when primarily metric spaces were studied. The "covering compact" definition has become more prominent because it allows us to consider general topological spaces, and many of the old results about metric spaces can be generalized to this setting. This generalization is particularly useful in the study of function spaces, many of which are not metric spaces. One of the main reasons for studying compact spaces is because they are in some ways very similar to finite sets: there are many results which are easy to show for finite sets, whose proofs carry over with minimal change to compact spa..." 2) "Cd" -- As to compact cd cd Function: abbreviation 1 candela 2 candle 3 cord Pronunciation Symbols CD or C/D or Cd or cd may stand for: Compact Disc CD-ROM Certificate of deposit (time deposit) CD also represents 400 in Roman numerals — meaning 100 (C) less than 500 (D). Science and computers: .cd, the Internet domain of the Democratic Republic of the Congo chdir, a Unix command Cadmium (chemical element Cd) Candela (cd, a unit of light intensity) Drag coefficient (Cd) Codes: Chad (FIPS 10-4 country code) Democratic Republic of the Congo (ISO 3166 country code) Alliance Air (airline code CD) Foreign abbreviations: ÄŒeské Dráhy (Czech Railways) Cash dispenser, in Japan Club Deportivo (Spanish for "Sports Club"), very commonly used as Cúcuta Deportivo an identifier for sports clubs in the Spanish-speaking world Cordoba Durchmusterung Corps Diplomatique Others: Centre Democrats of Denmark Centre Democrats of the Netherlands "CD" - a song by the British progressive rock band T2, added as a bonus to the remastered edition of their 1970 album It'll All Work Out In Boomland. Canadian Forces Decoration (Canadian decoration post-nominal letters) Celebrity Deathmatch Chart datum, in nautical charts Christian Dior Circular dichroism Convertible Debenture Civil defense, particularly United States Civil Defense Civil disobedience Cluster of differentiation (e.g. CD4 or CD8 lymphocytes) Collision detection, an algorithm or a set of algorithms, used in video games and simulations, designed to detect the intersection between two entities. Columbus Dispatch Community of Democracies Companion dog title Conduct Disorder Conference on Disarmament, organized by the United Nations Congressional district Collector/distributor Conservation Dependent (cd..." 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