wiktionarypar set TOCright Set may refer to Mathematics and programming Set mathematics , A collection of well defined and distinct objects Set theory Category of sets Set computer science , a data type that is a collection of unique values Set C , an implementation of Set computer science in the C language Standard Template Library STL Chemistry SET, single electron transfer Psychology Set psychology , a set of expectations which shapes perception or thought Technology Set, to make become solid see Solidification A television setSET, Secure Electronic Transaction , a standard protocol for securing credit card transactions over insecure networks SET, Single Electron Transistor , a device to amplify currents in nanoelectronics SET, single ended triode , a type of electronic amplifier SET Awards, The Science, Engineering & Technology Student of the Year Awards Set command , a command for manipulating ..., a Quality Assurance job title in some software companies Saw set , the process of setting the teeth of a saw so each tooth protrudes to the side of the blade The arts Theatre Theatrical scenery Set construction , construction of scenery for theatrical, movie and video production Dancing Set, the basic square formation in Square dance square dancing Music DJ set or DJ mix , a musical performance by a DJ Set theory music , dealing with concepts for categorizing musical objects and describing their relationships Set music , a collection of discrete entities, for example pitch sets, duration sets, and timbre sets Set Thompson Twins album Set Thompson Twins album Set Alex Chilton album Set Alex Chilton album Set list , a list of songs to be performed at a concert Fiction Set or Father Set , a fictional ... Sport and games A chess setSet, a signal used in American football Set darts , when one player wins three legs Set game , a card game Set, a unit of play in tennis Set, a term for three of a kind in poker Set, a unit of play in volleyball formerly game Set, a group of repetitions in weight training ... more details
A derived set may refer to Derived set mathematics , a construction in point set topology Derived row , a concept in musical set theory disambig ... more details
In mathematics , the term small set may refer to Small set category theory Small set combinatorics See also Ideal set theory Natural density Large set Ramsey theory mathdab ... more details
In set theory , a discipline within mathematics, an admissible set is a transitive set math A , math such that math langle A, in rangle math is a model theory model of Kripke Platek set theory . The smallest example of an admissible set is the set of hereditarily finite set s. Another example is the set of hereditarily countable set s. See also admissible ordinal Category set theory settheory stub ... more details
In mathematics , the term M set may refer to In Sydney , Australia , M set can also refer to CityRail s millennium train Millennium Train . The set of uniqueness or Menshov set of harmonic analysis. The Mandelbrot set . A monoid acting on a set, also known as an right act act . disambig Category Mathematical disambiguation ... more details
Set operation may have one of the following meanings. Any set mathematics Basic operations operation with sets Set operations Boolean , in a narrower sense, in the algebra of sets Set operations SQL Fuzzy set operations See also Set disambiguation disambig ... more details
Set of irons can refer to a set of iron golf clubs Fetters a married set used by firefighters, consisting of a halligan bar and a flathead axe disambig ... more details
The term stable set may refer to The Independent set graph theory independent set in graph theory , the set of vertices of a graph not directly connected by edges. The stable manifold stable set in dynamical systems , the set of points leading up to an attractor . The Cooperative game The stable set stable set also known as the Von Neumann Morgenstern solution in cooperative game s a set of alternatives satisfying the internal and external stability conditions. mathdab ... more details
Information set may refer to Information set game theory , in game theory, a particular set of possible moves a player has in a game XML Information Set or Infoset, a W3C specification dealing with XML documents disambig ... more details
In mathematics , the term large set is sometimes used to refer to any Set mathematics set that is large in some sense. It has specialized meanings in three branches of mathematics Large set category theory , a set that does not belong to a fixed universe of sets Large set combinatorics , a set of integers whose sum of reciprocals diverges Large set Ramsey theory , a set of integers with the property that, if all the integers are colored, one of the color classes has long arithmetic progressions whose differences are in the set See also Natural density Small set disambiguation mathdab ... more details
Unreferenced date November 2008 In measure theory , a conull set is a set whose complement set theory complement is null set null , i.e., the measure mathematics measure of the complement is zero. For example, the set of irrational number s is a conull subset of the real line with Lebesgue measure . See also Almost everywhere Category Measure theory ... more details
Independent set may refer to Linearly independent , of a set of vectors in a vector space. Independent set of elements of a matroid. See Matroid Independent sets, bases, and circuits . Independent set graph theory , a set of vertices that share no edges. disambig ... more details
DISPLAYTITLE F sub sub set In mathematics, an F sub sub set said F sigma set is a countable union set theory union of closed set s. The notation originated in France with F for wikt ferm French ferm French language French closed and for wikt somme French somme French sum, union . In metrizable spaces, every open set is an F sub sub set. The complement of an F sub sub set is a G delta set G sub &delta sub set . In a metrizable space, any closed set is a G sub sub set. The union of countably many F sub sub sets is an F sub sub set, and the intersection of finitely many F sub sub sets is an F sub sub set. Examples Each closed set is an F sub sub set. The set math mathbb Q math of rationals is an F sub sub set. The set math mathbb R setminus mathbb Q math of irrationals is not a F sub sub set. In a Tychonoff space, each enumerable set is an F sub sub set, because a point math x math is closed. For example, the set math A math of all Point geometry point s math x,y math in the Cartesian plane such that math x y math is rational number rational is an F sub sub set because it can be expressed as the union of all the line mathematics line s passing through the origin mathematics origin with rational slope mathematics slope math A bigcup r in mathbb Q ry,y mid y in mathbb R , math where math mathbb Q math , is the set of rational numbers, which is a countable set. See also G delta set G sub sub set the duality mathematics dual notion. Borel hierarchy DEFAULTSORT F Set Category Topology Category Descriptive set theory topology stub pl Zbi r typu F sigma ... more details
The Set Up may refer to The Set Up poem The Set Up poem , a narrative poem by Joseph Moncure March basis for the 1949 film see below The Set Up song The Set Up song , a 2004 song by Obie Trice The Set Up Parks and Recreation The Set Up Parks and Recreation , an 2010 episode of Parks and Recreation Films and television The Set Up 1926 film The Set Up 1926 film , an American silent Western starring Art Acord The Set Up 1949 film The Set Up 1949 film , an American film noir directed by Robert Wise The Set Up , a 1978 student film by Kathryn Bigelow The Set Up 1995 film The Set Up 1995 film , an American crime thriller The Set Up 1990 film The Set Up 1990 film , a Hong Kong film The Set Up an episode on Hunter U.S. TV series Hunter See also Setup disambiguation disambig fr The Set Up ... more details
Orphan date February 2009 In telecommunication , a coded set is a set mathematics set of elements onto which another set of elements has been mapped according to a code . Examples of coded sets include the list of names of airports that is mapped onto a set of corresponding three letter representations of airport names, the list of classes of emission that is mapped onto a set of corresponding standardization standard symbols, and the names of the months of the year mapped onto a set of two numerical digit digit decimal numbers. FS1037C Category Telecommunications ... more details
In the mathematical discipline of descriptive set theory , a coanalytic set is a Set mathematics set typically a set of real number s or more generally a subset of a Polish space that is the complement of an analytic set . Coanalytic sets are also referred to as math scriptstyle boldsymbol Pi 1 1 math sets see projective hierarchy . Unreferenced date April 2009 Category Descriptive set theory settheory stub ... more details
In mathematics, constructible set may refer to either a notion in G del s constructible universe . a union of locally closed set in a topological space. See constructible set topology . disambig ... more details
In set theory , a hereditary set or pure set is a Set mathematics set all of whose elements are hereditary sets. That is, all elements of the set are themselves sets, as are all elements of the elements, and so on. For example, it is vacuously true that the empty set is a hereditary set, and thus the set math varnothing math containing only the empty set math varnothing math is a hereditary set. In formulations of set theory that are intended to be interpreted in the von Neumann universe or to express the content of Zermelo Fraenkel set theory , all sets are hereditary, because the only sort of object that is even a candidate to be an element of a set is another set. Thus the notion of hereditary set is interesting only in a context in which there may be urelement s. The inductive definition of hereditary sets presupposes that set membership is well founded relation well founded i.e., the axiom of regularity , otherwise the recurrence may not have a unique solution. However, it can be restated non inductively as follows a set is hereditary if and only if its transitive set Transitive closure transitive closure contains only sets. In this way the concept of hereditary sets can also be extended to non well founded set theories in which sets can be members of themselves. For example, a set that contains only itself is a hereditary set. See also Hereditarily countable set Well founded set References cite book title Set Theory An Introduction to Independence Proofs author Kunen, Kenneth publisher North Holland year 1980 isbn 0 444 85401 0 Category Set theory settheory stub ... more details
In mathematics , the notion of a concave set is not correct. fact date October 2011 A set that is not convex, is a non convex set. See also Convex set Concave function References references Category Convex geometry es Concavidad nl Concave verzameling ... more details
Technical date July 2010 In mathematics, a soft set is a ordered pair pair A , M where A is a set mathematics set and M is a function mathematics function such that M x is a subset of the interval mathematics interval 0,1 , where x is element mathematics element of the set A . For each x the set M x is called the set of membership of x in A , M . The set M is a subset of any well ordered set or lattice order lattice , generally M selected interval 0, 1 . Only if a set of elements M included one element for any x can the soft set be regarded as a fuzzy set . Soft sets are also called type 2 fuzzy sets and systems type 2 fuzzy sets . A Type 2 fuzzy set is a soft set such that M x is a fuzzy set . References Molodtsov D. A. A theory of soft sets . Moscow Editorial URSS, 2004. Matsievsky S. V. Sets, multisets, fuzzy and soft sets without universe . Vestnik IKSUR, 2007, N. 10, pp. 44&ndash 52. Ahmad, B., Kharal, A. http www.hindawi.com journals afs 2009 586507.html On Fuzzy Soft Sets . Advances in Fuzzy Systems Volume 2009 2009 , Article ID 586507, 6 pages doi 10.1155 2009 586507. DEFAULTSORT Soft Set Category Set theory Math stub ru ... more details
A budget set or opportunity set includes all possible consumption bundles that someone can afford given the price s of goods and the person s income level. The budget set is bounded above by the budget line . Graphically speaking , all the consumption bundles that lie inside the budget constraint and on the budget constraint form the budget set or opportunity set. By most definitions, budget sets must be compact and convex. Microeconomics stub microeconomics Category Budgets Set Category Consumer theory ... more details
Service set can refer to Service set 802.11 network , a particular 802.11 wireless network. Service set identifier , a name given to that network Basic Service Set , the group of devices associated to an access point Extended Service Set , the entire campus of a wireless network using the same identifier Tea service , a formal tea set. disambig ... more details
Set in Stone may refer to Set in Stone Brian McFadden album Set in Stone Brian McFadden album , 2008 Set in Stone Lord album Set in Stone Lord album , 2009 Set in Stone novel , a children s fantasy novel by Linda Newbery disambiguation Short pages monitor This long comment was added to the page to prevent it from being listed on Special Shortpages. It and the accompanying monitoring template were generated via Template Long comment. Please do not remove the monitor template without removing the comment as well. ... more details
In mathematics , in the area of potential theory , a pluripolar set is the analog of a polar set potential theory polar set for plurisubharmonic function s. Definition Let math G subset mathbb C n math and let math f colon G to mathbb R cup infty math be a plurisubharmonic function which is not identically math infty math . The set math mathcal P z in G mid f z infty math is called a complete pluripolar set . A pluripolar set is any subset of a complete pluripolar set. If math f math is a holomorphic function then math log f math is a plurisubharmonic function. The zero set of math f math is then a pluripolar set. See also Skoda El Mir theorem References Steven G. Krantz. Function Theory of Several Complex Variables , AMS Chelsea Publishing, Providence, Rhode Island, 1992. planetmath id 6021 title pluripolar set Category potential theory ... more details
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