Setpoint or setpoint might mean one of Setpoint tennis , a tennis term meaning one player is one point away from winning a setSetpoint medicine , a term referring to any one of a number of quantities e.g. body weight , body temperature which the body tries to keep at a particular value see also homeostasis Setpoint control system , the target value that an automatic control system, for example PID controller, will aim to reach SetPoint , the driver suite for Logitech mice disambig ... more details
The HIV setpoint is the viral load of a person infected with HIV , which stabilizes after a period of acute HIV infection. The setpoint is reached after the immune system has developed HIV antibodies and begins to attempt to fight the virus. The higher the viral load of the setpoint, the faster the virus will progress to full blown AIDS the lower the viral load of the setpoint, the longer the patient will remain in clinical latency. The only effective way to lower the setpoint is through highly active antiretroviral therapy . ref cite web title Natural History of HIV Infection An Excerpt From The Guide to Living With HIV Infection date 2001 url http www.thebody.com jh bartlett natural.html accessdate 2007 01 13 Dead link date October 2010 bot H3llBot ref ref cite web last first authorlink coauthors title A Model Virus Could Mute the Effects of HIV work publisher Science Beat Berkeley Lab date 2004 06 14 url http www.lbl.gov Science Articles Archive sb July 2004 1 HIV.html format doi accessdate 2007 01 13 ref References references Category infectious diseases Category HIV AIDS infectious disease stub ... more details
Unreferenced date December 2009 A triangulation of a set of points P in the plane geometry plane is a Polygon triangulation triangulation of the convex hull of P , with all points from P being among the vertices of the triangulation. Triangulations are special cases of planar straight line graph s. There are special triangulations like the Delaunay triangulation which is the Dual polytope geometric dual of the Voronoi diagram . Subsets of the Delaunay triangulation are the Gabriel graph , nearest neighbor graph and the minimal spanning tree . Triangulations have a number of applications, and there is an interest to find a good triangulation for a given pointset under some criteria. One of them is a minimum weight triangulation . Sometimes it is desirable to have a triangulation with special properties, e.g., in which all triangles have large angles long and narrow splinter triangles are avoided . Given a set of edges that connect some pairs of the points, the problem to determine whether they contain a triangulation is NP complete Lloyd, 1977 . ref E. L. Lloyd. On triangulations of a set of points in the plane. Proceedings of the 18th Annual IEEE Symposium on Foundations of Computer Science, Providence, Rhode Island, pp. 228 240, 1977. ref Triangulation and convex hull A triangulation of the set of points S in general position may be derived from of the convex hull of a set of points S sub 1 sub in the space of dimension larger by 1 which are the projections of the original pointset onto the paraboloid surface math x n 1 x 1 2 cdots x n 2 math . One has to construct the convex hull of the set S sub 1 sub and project it back onto the space of S . If points are not in general position, additional effort is required to triangulate the non tetrahedral facet geometry facet s. See also Polygon triangulation References reflist DEFAULTSORT PointSet Triangulation Category Discrete geometry Category Geometric algorithms de Triangulation Punktemenge fr Triangulation d un ensemble ... more details
In set theory , the critical point of an elementary embedding of a transitive class into another transitive class is the smallest ordinal number ordinal which is not mapped to itself. ref cite book last Jech first Thomas title Set Theory publisher Springer Verlag location Berlin year 2002 isbn 3540440852 p. 323 ref Suppose that j N M is an elementary embedding where N and M are transitive classes and j is definable in N by a formula of set theory with parameters from N . Then j must take ordinals to ordinals and j must be strictly increasing. Also j . If j for all and j , then is said to be the critical point of j. If N is Von Neumann universe V , then the critical point of j is always a measurable cardinal , i.e. an uncountable cardinal number such that there exists a complete, non principal ultrafilter over . Specifically, one may take the filter to be math A vert A subseteq kappa land kappa in j A ,. math Generally, there will be many other complete, non principal ultrafilters over . However, j might be different from the ultrapower s arising from such filter s . If N and M are the same and j is the identity function on N , then j is called trivial . If transitive class N is an inner model of ZFC and j has no critical point, i.e. every ordinal maps to itself, then j is trivial. References reflist DEFAULTSORT Critical PointSet Theory Category Large cardinals settheory stub ... more details
wiktionarypar set TOCright Set may refer to Mathematics Set mathematics , a collection of objects in mathematics Set theory Category of sets Set computer science , a data type that is a collection of unique values 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 SET, Secure ... 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 environment variables in Microsoft operating systems 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 deity in the Conan adventure novels by Robert E. Howard and their Marvel Comics interpretation Sport and games Set, 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 The set, a pitching position in baseball also called the stretch Crime Set, a sub group of a street gang Religion Set or Seth , a Biblical character ... more details
Orphan date April 2010 In approximation theory , a finite collection of points math X subset R n math is often called unisolvent for a space math W math if any element math w in W math is uniquely determined by its values on math X math . br math X math is unisolvent for math Pi m n math polynomials in n variables of degree at most m if there exists a unique polynomial in math Pi m n math of lowest possible degree which interpolate s the data math X math . Simple examples in math R 2 math would be the fact that two distinct points determine a line, three points determine a parabola, etc. It is clear that over math R 2 math , any collection of k 1 distinct points will uniquely determine a polynomial of lowest possible degree in math Pi k math . External links http en.wikibooks.org wiki Numerical Methods Interpolation Numerical Methods Interpolation Category Approximation theory Math stub ... more details
wiktionarypar pointPoint may refer to TOC right Business and finance Basis point , 1 100 of one percent, denoted bp , bps , and Pivot point , a price level of significance in analysis of a financial market that is used as a predictive indicator of market movement Point mortgage , a percentage sometimes ... points see loyalty program , marketing strategy Vigorish point, the commission charged on a gambling ... boat s course in relation to wind direction Projectile point , a hafted archaeological artifact used as a knife or projectile tip Entertainment Le Point , a French weekly news magazine Point album Point album , a 2001 album by Cornelius Point No. 1 Point 1 , a 1999 album of Chevelle POINT Music , a record label Geography Point, a peninsula see List of peninsulas Point, Outer Hebrides Mathematics Point geometry , an entity that has a location in space or on a plane, but has no extent a shape that is indivisible Stationary point or turning point , a point in a set of inputs to a function where the output ceases to change Measurement units Compass point , one of the 32 directions on a traditional compass, equal to one eighth of a right angle 11.25 degrees Point gemstone , 2 milligrams, or one hundredth of a Carat mass carat Point, in hunting, the number of antler tips on the hunted animal e.g. 9 point buck Point, for describing paper stock thickness, a synonym of mil and Thou length thou one thousandth of an inch Point typography , a measurement used in printing, the meaning of which has changed over time Paris point , 2 3 cm, used for shoe sizes Science Point coat color , animal fur coloration of the extremities Point, a data element in a SCADA system representing a single input or output Point Mutation , a change in a single nucleotide and therefore in a specific codon Sports Point, a fielding cricket fielding position in cricket Point, a unit of the score game in some sports and games Point basketball , units obtained by scoring baskets during a game Point tennis , the smallest ... more details
The Point can refer to Broadcasting KKPT 94.1 FM The Point , a classic rock radio station in Little Rock, Arkansas WJLK 94.3 FM The Point , an adult top 40 radio station in Asbury Park, New Jersey WKBE 100.3 FM The Point , an alternative radio station in Warrensburg, New York WPOI 101.5 FM The Point , a radio station that plays 80s, 90s, and late 70s KPNT 105.7 FM The Point , a alternative rock radio station in St. Louis, Missouri KHPT 106.9 FM The Point , a radio station that plays the Best of the 80 s and more in Conroe, Texas The Point radio network , a network of radio stations in Vermont Performance venues The Point, Eastleigh one of the leading theatres for new writing and dance in the south of England. Point Theatre in Dublin, Ireland The Main Point , a former music venue in Bryn Mawr, Pennsylvania The Point, Milton Keynes , an entertainment complex in Milton Keynes, Buckinghamshire, England The Point, Cardiff , a church turned music venue in Wales The Point Theatre, a community theatre located in Ingram, TX. Part of the Hill Country Arts Foundation. Other uses The Point , an animated film, album, and musical by Harry Nilsson The Point film The Point film , a 2006 film The point ice hockey , a position in ice hockey The Point Gambia , a newspaper published in the Gambia The Point, Louisville , a neighborhood in Louisville, Kentucky The Point rock band , featuring Nicke Andersson and Neil Leyton The Point Dubai The Point building Tower in Dubai Marina Dubai UAE The Point New Westminster The Point building Tower in New Westminster The Point , a Chicago based biannual journal Restronguet Point , the location known as The Point near Feock, Cornwall Feock in Cornwall http ... incentives for change, and only ask people to act when it actually makes a difference. The Point, something you may have missed The point of an argument, which is the meaning being conveyed through said argument. See Add this when correct page is found for it See also Easton s Point , a historical ... more details
Distinguish peer to peer Point to point or point to point may refer to Computing Point to point construction , an electronics assembly technique Network topology Point to pointPoint to point network topology Point to Point Protocol PPP , part of the Internet protocol suite SAN Point to Point , a topology used in Fibre Channel Others Point to point telecommunications , a telecommunications link connecting two nodes Point to point transit , a route structure common among low fare airlines Point to point steeplechase disambig de Direktverbindung ... more details
Will Point coor dm 54 33 S 36 1 W is a point at the head of Royal Bay , lying 4 nautical miles 7 km west of Cape Charlotte on the north coast of South Georgia . First mapped by the German group of the International Polar Year Investigations , 1882 83. Resurveyed by the SGS in the period 1951 57 and named by the United Kingdom Antarctic Place Names Committee UK APC for Dr. H. Will , botanist with the German expedition which wintered at Royal Bay in 1882 83. usgs gazetteer Category Geography of Antarctica SouthGeorgia geo stub ... more details
Infobox album See Wikipedia WikiProject Albums Name The Point Type Album Artist Harry Nilsson Cover Harry ... Last album Nilsson Sings Newman br 1970 This album The Point br 1971 Next album Aerial Pandemonium Ballet br 1971 The Point is a fable and the sixth album by United States American songwriter and musician ... by law everyone and everything had to have a point. I was on acid and I looked at the trees and I ... to point. I thought, Oh Everything has a point, and if it doesn t, then there s a point to it. Harry Nilsson ref name Jacobson cite journal last Jacobson first Alan title What s The Point? The Legendary ... 2004 ref There have been, so far, at least three different renditions of The Point , each featuring ... Forest, but soon discover that even the Pointless Forest has a point. They meet curious creatures like giant bees, a pointed man pointing in all directions who proclaims A point in every direction is the same as no point at all , a man made of rock, a three dancing fat sisters, and the man made out of leaves who helps Oblio see that everyone has a point as in reason though it might not be readily ... their way back to the Land of Point, where they receive a heroes welcome from the land s citizens ... by the King. Oblio tells the King and the people of the land that everything has a point ... longer, the Count pulls off Oblio s pointed hat, but is taken aback when he sees a point on top of Oblio ... preceded by followed by Deleted image removed Image ThePoint.jpg right thumb DVD cover The Point Production The film version of The Point first aired February 2, 1971, ref name tv dictionary at 7 30pm ... called The Point features the same songs as the film, and the same basic fable. However, the framing ... Repertory Theater, approached Harry Nilsson about creating a stage musical of The Point Although Nilsson ... adaptation of The Point was presented at the Mermaid Theatre in London . Featured in the cast ... time friends of Nilsson. In order to accommodate the expansion of The Point to a full length musical ... more details
for the military term to be on point Take point Infobox Radio Show show name On Point image Onpoint.png format News analysis, commentary, features, interviews, specials runtime c. 110 min. country United States language English home station WBUR syndicates National Public Radio presenter Tom Ashbrook creator Graham Griffith producer Karen Shiffman br Julie Diop br Sam Gale Rosen br Pien Huang br Eileen Imada br Stefano Kotsonis br Hilary Barngrove McQuilkin br John Wihbey record location Boston, Massachusetts first aired 17 September 2001 last aired present opentheme Pause album Everything is Alright website http www.onpointradio.org www.onpointradio.org podcast http www.npr.org templates rss podcast.php?id 510053 Podcast RSS feed On Point is a two hour call in radio show hosted by Tom Ashbrook , a former Boston Globe foreign editor and reporter, author and Internet entrepreneur. It is produced by WBUR in Boston and syndicated by National Public Radio . The show addresses news issues, as well as arts and culture, health, technology, environmental, and business topics. It is now distributed to 190 public radio stations across the United States by NPR. Major markets include New York City and Washington, D.C. , as well as Ann Arbor Detroit , Michigan , Miami, Florida , Nashville, Tennessee , St. Louis, Missouri , Des Moines, Iowa , Madison, Wisconsin Madison and Milwaukee, Wisconsin ..., Washington , Eugene, Oregon , and parts of California . On Point also averages more than 450,000 ... his medical journey in a show with his doctors and nurses. Time and location On Point is broadcast ... in host NPR s Jacki Lyden , Anthony Brooks and James Hattori have also hosted. On Point was created ..., first broadcasting under the On Point name on 4 February 2002. It is currently led by senior producer Karen Shiffman and directed by Eileen Imada. The On Point theme music, Everything is Alright ... On Point official web site NPR Category American talk radio programs Category National Public ... more details
Infobox Album Name At the Point Type live Artist Matt Nathanson Cover Nathanson atthepoint.gif Released April 2006 Recorded Genre Rock music Rock , Pop music pop , Acoustic music acoustic Length Label Acrobat Records Producer Reviews Last album This album At the Point br 2006 Next album At the Point is a live album by Matt Nathanson , released in April 2006. Track listing Decades of Hits Dialogue small 1 02 small Angel small 1 34 small I Saw small 3 29 small Church Clothes small 3 48 small Curve of the Earth small 3 23 small Princess small 3 48 small A Line from Lie Dialogue small 2 43 small Bent small 4 04 small All Been Said Before small 4 30 small Lost Myself in Search of You small 3 44 small Romeo and Juliet small 4 25 small St. Louis Pants Dialogue small 2 27 small Fall to Pieces small 3 52 small More than This small 3 57 small Philadelphia Song Dialogue small 2 34 small Answering Machine small 5 20 small Suspended small 3 45 small Sing Me Sweet Bonus Track small 4 22 small Straight to Hell Bonus Track small 4 11 small References http www.mattnathanson.com Matt Nathanson official site Category Matt Nathanson albums Category 1999 live albums 2000s rock album stub ... more details
Infobox Radio Show show name To the Point image imagesize caption other names format Public affairs programming Public affairs runtime ca. 54 min. country USA language English language English home station KCRW FM syndicates Public Radio International PRI presenter Warren Olney journalist Warren Olney creator KCRW FM and Public Radio International PRI writer director producer Karen Radziner, Frances Anderton, Christian Bordal, Katie Cooper, Sonya Geis, Gary Scott and Andrea Brody executive producer Warren Olney record location KCRW in Santa Monica, CA first aired last aired present audio format Stereophonic opentheme endtheme website http www.kcrw.com tothepoint www.KCRW.com ToThePoint podcast http www.kcrw.com podcasts podcasts KCRW Podcasts To the Point is an hour long public affairs radio program co produced by KCRW in Santa Monica, California and Public Radio International . The program originates at KCRW at 12 pm Pacific Time Zone Pacific Time each weekday. Award winning journalist Warren Olney journalist Warren Olney hosts the show it is syndicated nationwide by PRI and currently airs in 15 states and Washington, D.C. by Public Radio International . KCRW also podcasts the program. Format The program begins with its theme music, a clip from John Coltrane s A Love Supreme . Olney then introduces the topics for the day s program, followed by a break for carrier stations to play syndicated news headlines, typically provided by NPR . In the opening segment, Olney discusses a recent or breaking news development with a guest, typically a newspaper journalist. The journalist joins Warren by phone, and the segment lasts about 10 minutes. The following segment, which occupies ... newsmakers, To the Point instead interviews experts typically think tank members, professors ... and engineers, thanking the Coltrane family, and signing off with, This has been To the Point from Public ... International DEFAULTSORT To The Point Category KCRW Category Public Radio International programs ... more details
On That Point is a political debate show broadcast on Boston University s butv10 . It began as a pet project of undergraduate student Neil St. Clair in the Spring 2006 semester and became a bi weekly program by the Fall 2006 semester, amassing a full production crew and garnering front page attention in the school s Daily Free Press newspaper for its debut episode s interview with 2006 Massachusetts gubernatorial candidate Christy Mihos . In 2008, the show won a Bronze Telly Award , the first awarded to any butv10 show ref http www.butv10.com blog 2008 09 10 telly award 2008 Telly Award , Posted September 10, 2008 by DJ Capobianco, Marketing Coordinator, Boston University College of Communication ref . Current Cast Auditions are currently being held. Erin Caron Host Panelist Tess Hofmann Host Panelist John DeFelice Host Panelist Gabe Stein Executive Producer Chuck Giroux Executive Producer Technical Director Former Casts 2009 10 Saeyoung Cho Host Colin Scully Panelist Deanna Falcone Panelist Erin Caron Panelist Sopan Deb Panelist Gabe Stein Executive Producer Chuck Giroux Executive Producer Technical Director 2008 09 Rocky Lotito Host Saeyoung Cho Panelist Research Director Colin Scully Panelist Deanna Falcone Panelist Ryan Menezes Panelist Vernon Neo Panelist Gabe Stein Executive Producer Jessica Mondillo Executive Producer Chuck Giroux Producer Technical Director Fall 2006 Neil St. Clair Host Creator Megan Castellano Panelist Addison Draper Panelist Rocky Lotito Panelist References references External links http www.butv10.com onthatpoint Official Site for butv10 http butv10.com video library onthatpoint Official On That Point homepage Category Butv Category Student produced television series Category Local talk shows in the United States Category Telly Awards ... more details
Point No Point is an outcropping of land on the northeast point of the Kitsap Peninsula in Washington U.S. state Washington , the United States . It was the location of the signing of the Point No Point Treaty . It was named by Charles Wilkes during the United States Exploring Expedition of Puget Sound in 1841. Named after Point No Point on the Hudson River which is also called Dietrick s Hook , the point is home to the Point No Point Light Washington Point No Point Light . Wilkes gave the point its name because it appears much less of a promontory at close range than it does from a distance. ref cite book last Phillips first James W. title Washington State Place Names year 1971 publisher University of Washington Press isbn 0 295 95158 3 page 109 ref The marine climate ensures plenty of Precipitation meteorology precipitation in winter and mild temperatures in summer. There are many productive habitats . The spit itself has sandy beach es with log jams, as well as some man made structures for boating . Behind the beaches is a large mixed freshwater saltwater marsh with a substantial shrub component. The waters surrounding the point react to swiftly running tide s, attracting many marine bird species. And there is a somewhat sheltered bay as well. Birdwatching Point No Point has one of the largest birdlists of any site in Washington. The point is owned jointly by the U.S. Coast Guard leased to Kitsap County and a private landowner who is knowledgeable and sympathetic to birdwatchers. Point No Point is best known for its water related species gull s, cormorants , loons , terns ..., shorebirds can be seen. The marsh attracts a variety of passerines , particularly in migration. Point No Point has produced many notable rarities, both in the offshore waters and in the marsh. References reflist GNIS 1507530 Point No Point coord 47 54 43 N 122 31 33 W display title Category Landforms of Kitsap County, Washington Category Headlands of Washington state No Point Category Puget Sound ... more details
A derived set may refer to Derived set mathematics , a construction in pointset topology Derived row , a concept in musical set theory 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
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
load capacity, a detent may be drilled in the shaft into which the set screw s point enters. The detent ...Image Set screw.svg thumb Example of set screws Refimprove date May 2009 A set screw , known in the UK as a grub screw , is a type of screw generally used to secure an object within another object and is generally fully threaded. A blind screw or grub screw will generally not have an external head and will be inserted into its location by means of an internal Hex, Allen, slot, Torx , star or Phillips key or driver. The set screw passes through a screw thread threaded hole in the outer object and is tightened against the inner object to prevent it from moving relative to the outer object. It exerts ... rather than with a larger head that remains outside. Image Potentiometer knob with set screw.jpg thumb A potentiometer knob with a set screw for locking it in place. They are used to prevent relative motion between two rotating parts, such as the movement of pulley on a Axle shaft . For this, a set screw is screwed into the pulley hub so that its end point bears firmly against the shaft. The fastening action is by friction between the screw and the shaft. Typically, set screws are not efficient ... Isometric projection of a grub screw with a hex socket head. Set screws appear with a variety of tip ... point type of screw. One might often need to use a flat point when the screw must press perfectly flat against a surface. The most common type is the cup point. This type works well because the surface ... at one point like that of a cone point. Durability studies show that the cup point offers superior resistance ... s pocket book. P.978 accessdate 2008 12 25 . ref Common points include the following Flat Point Domed Point Cone Point Cup Point Knurled Cup Point Extended Point Pilot Point, Dog Point They also ... Slotted Bristol Wrench Bristol spline References Notes reflist External links commons category Set screws http www.rctek.com fixings info fixings grub screws.html Page illustrating various set screw tip ... more details
category theorem . Function spaces The set of functions which have a derivative at some point is a meagre ...In the mathematical fields of general topology and descriptive set theory , a meagre set also called a meager set or a set of first category is a set that, considered as a subset of a usually larger topological space , is in a precise sense small or negligible set negligible . The meagre subsets of a fixed space form a sigma ideal of subsets that is, any subset of a meagre set is meagre, and the union mathematics union of countable set countably many meagre sets is meagre. General topologists use ... set is not trivial in particular, the entire space is not meagre . Descriptive set theorists mostly ... the term Baire space set theory Baire space for one particular Polish space. The complement set theory complement of a meagre set is a comeagre set or residual set . Definition Given a topological space ... subsets of X . Duality mathematics Dually , a comeagre set is one whose complement set theory complement is meagre, or equivalently, the intersection set theory intersection of countably many sets with dense ... neighbourhood on which B is dense set dense for any nonempty open set U in X , there is a nonempty open set V contained in U such that V and B are disjoint sets disjoint . Note that the complement of a nowhere dense set is a dense set, but not every dense set is of this form. More precisely, the complement of a nowhere dense set is a set with dense interior topology interior . Relation to Borel ... nowhere dense subset viz, its closure , a meagre set need not be an F set F sub sub set countable union of closed sets , but is always contained in an F sub sub set made from nowhere dense sets by taking the closure of each set . Dually, just as the complement of a nowhere dense set need not be open, but has a dense interior topology interior contains a dense open set , a comeagre set need not be a G set G sub sub set countable intersection of open set open sets , but contains a dense G ... more details
space , a closed set can be defined as a set which contains all its limit point s. In a metric space , a closed set is a set which is closure mathematics closed under the limit of a sequence limit operation. Equivalent definitions of a closed set In a topological space , a set is closed if and only if it coincides with its closure topology closure . Equivalently, a set is closed if and only if it contains all of its limit point s. This is not to be confused with a closed manifold . Properties of closed sets A closed set contains its own boundary topology boundary . In other words, if you are outside a closed set, you may move a small amount in any direction and still stay outside the set. Note that this is also true if the boundary is the empty set, e.g. in the metric space of rational numbers, for the set of numbers of which the square is less than 2. Any intersection set theory intersection ... closed sets In pointset topology , a set A is closed if it contains all its boundary topology boundary points. The notion of closed set is defined above in terms of open set s, a concept that makes ...About the complement of an open set a set closed under an operation closure mathematics other uses Closed disambiguation In geometry , topology , and related branches of mathematics , a closed set is a Set mathematics set whose complement set theory complement is an open set . ref cite book last Rudin ... union set theory union of finite set finitely many closed sets is closed. In particular, the empty set and the whole space are closed. In fact, given a set X and a collection F of subsets of X that has ... property also allows one to define the closure topology closure of a set A in a space X , which ... as the union of countably many closed sets are denoted F sigma set F sub sub sets. These sets ... set notation. The unit interval 0,1 is closed in the metric space real numbers, and the set 0,1 ... seen twice that whether a set is closed is relative depends on the space in which it is embedded ... more details
Set redirects here. Set is also a special form in the Scheme programming language . Image Set game cards.png thumb right 250px Three cards from a Set deck. These cards each have a unique number, symbol, shading, and color, and are thus a set. Set is a real time card game designed by Marsha Falco in 1974 and published by Set Enterprises in 1991. The deck consists of 81 number 81 cards varying in four ... and color red, green, or purple . ref cite web url http www.setgame.com set rules set.htm title How to Play Set ref Each possible combination of features e.g., a card with three striped green diamonds appears precisely once in the deck. Set won Mensa International American Mensa s List of Mensa Select ... games can be played with these cards, all involving the concept of a set . A set consists of three ... three different colors. The rules of Set are summarized by If you can sort a group of three cards into Two of and one of , then it is not a set Given any two cards from the deck, there will be one and only one other card that forms a set with them. One example of a set would be these three cards One ... cards on the table until either twelve are laid down or someone sees a set and calls Set The player who called Set takes the cards in the set and the dealer continues to deal out cards until twelve are on the table. If a player sees a set among the twelve cards, s he calls Set and takes the three cards, and the dealer lays three more cards on the table. It is possible that there is no set among ... the deck is exhausted and there are no more sets on the table. At this point, whoever has collected the most sets wins. Variations One more common variation on classic Set is Chain Set . In Chain Set , one card from the previous set must be used to make a new set. This means that the set possibilities are different for each player and additional deals are much less likely. There is also Memory Set ... game Memory . Other variations Super Set involves finding two pairs of cards such that both ... more details
This article relates to the notion of inductive sets from descriptive set theory . For the notion in the context of the axiom of infinity , see Inductive set axiom of infinity . no footnotes date March 2011 In descriptive set theory , an inductive set of real number s or more generally, an inductive subset of a Polish space is one that can be defined as the least fixed point of a monotone operation definable by a positive &Sigma sup 1 sup sub n sub formula, for some natural number n , together with a real parameter. The inductive sets form a boldface pointclass that is, they are closed under continuous function continuous preimage s. In the Wadge hierarchy , they lie above the projective set s and below the sets in L R . Assuming sufficient determinacy , the class of inductive sets has the scale property and thus the prewellordering property . References cite book author Moschovakis, Yiannis N. title Descriptive Set Theory publisher North Holland year 1980 isbn 0 444 70199 0 settheory stub Category Descriptive set theory ... more details
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