# Set

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**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… …62

**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 …63

**Set (mythology)**— In Ancient Egyptian mythology, Set (also spelled Seth, Sutekh or Seteh) is an ancient god, who was originally the god of the desert, storms, and chaos. Because of the developments in the Egyptian language over the 3,000 years that Set was… …64

**Set-builder notation**— In set theory and its applications to logic, mathematics, and computer science, set builder notation (sometimes simply set notation ) is a mathematical notation for describing a set by stating the properties that its members must satisfy. Forming …65

**Set theory (music)**— Example of Z relation on two pitch sets analyzable as or derivable from Z17 (Schuijer 2008, p.99), with intervals between pitch classes labeled for ease of comparison between the two sets and their common interval vector, 212320. Musical set… …66

**Set notation**— Sets are fundamental objects in mathematics. Intuitively, a set is merely a collection of elements or members . There are various conventions for textually denoting sets. In any particular situation, an author typically chooses from among these… …67

**Set of all sets**— In set theory as usually formulated, referring to the set of all sets typically leads to a paradox. The reason for this is the form of Zermelo s axiom of separation: for anyformula varphi(x) and set A, the set {x in A mid varphi(x)}which contains …68

**Set of uniqueness**— M set redirects here. For the CityRail train, see CityRail M set. In mathematics, a set of uniqueness is a concept relevant to trigonometric expansions which are not necessarily Fourier series. Their study is a relatively pure branch of harmonic… …69

**Set (music)**— Six element set of rhythmic values used in Variazioni canoniche by Luigi Nono[1] A set (pitch set, pitch class set, set class, set form, pitch collection) in music theory, as in mat …70

**Set-top box**— A set top box (STB) or set top unit (STU) is a device that connects to a television and an external source of signal, turning the signal into content which is then displayed on the television screen. History Before the All Channel Receiver Act of …71

**Set (computer science)**— In computer science, a set is a collection (container) of certain values, without any particular order, and no repeated values. It corresponds with a finite set in mathematics. Disregarding sequence, and the fact that there are no repeated values …72

**Set-theoretic definition of natural numbers**— Several ways have been proposed to define the natural numbers using set theory.The contemporary standardIn standard (ZF) set theory the natural numbersare defined recursively by 0 = {} (the empty set) and n +1 = n ∪ { n }. Then n = {0,1,..., n… …73

**Set cover problem**— The set covering problem is a classical question in computer science and complexity theory. As input you are given several sets. They may have some elements in common. You must select a minimum number of these sets so that the sets you have… …74

**Set Your Goals (band)**— Infobox musical artist Name = Set Your Goals Img capt = Img size = Background = group or band Origin = San Francisco, California, USA Genre = Punk Rock, Pop Punk, Melodic hardcore Years active = 2004 Present Label = Eulogy, Straight On Associated …75

**Set phrase**— A set phrase is an expression (i.e. term or phrase) whose parts are fixed (see examples below). It is often possible to express the idea conveyed by a set phrase with a different phrasing, but it is marked to do so. Two word set phrases arise… …76

**Set-off (law)**— In law, a set off is a statutory defence to the whole or to a portion of a plaintiff s claim. It had no existence under the English common law, being created by 2 Geo. II c. 22 for the relief of insolvent debtors, although set off was recognised… …77

**Set decorator**— A set decorator is in charge of the set dressing on a film set, which includes the furnishings, wallpaper, lighting fixtures, and many of the other objects that will be seen in the film. Props and set dressing often overlap, but are provided by… …78

**Set the Controls for the Heart of the Sun**— Song infobox Name = Set the Controls for the Heart of the Sun Artist = Pink Floyd Album = A Saucerful of Secrets Released = 29 June 1968 (UK) 27 July 1968 (US) track no = 3 Recorded = 7 8 August, October 1967, January 1968 Abbey Road Studios,… …79

**Set list**— A set list, or setlist, is a document that lists the songs that a band or musical artist intends to play during a specific concert performance. Hand written or printed, on paper, cardboard, or laminate, it is usually taped to the stage, or… …80

**Set Free**— For other uses, see Set Free (disambiguation). Set Free Studio album by The American Analog Set …