Original research section date May 2008 Infobox software name PureData logo File screenshot File PureData with many patches open netpd project .png thumb caption PureData with many patches open netpd ... projects puredata files SourceForge file page ref latest release date Start date and age ... license BSD licenses SIBSD website http puredata.info puredata.info PureData or Pd is a visual programming ... to work with it like PureData Packet PiDiP for Linux, Mac OS X , framestein for Windows, GridFlow ... parts of the globe to create music together in real time. Similarities to Max Both PureData .... Projects that use PureDataPureData has been used as the basis of a number of projects, as a prototyping ... Publications icmc96.ps PureData . Proceedings, International Computer Music Conference. San Francisco International Computer Music Association, pp. 269 272. Puckette, M. S. 1997 . Puredata. In Proceedings ... Electronic Music in PureData publisher Wolke Verlag Hofheim, Hesse Hofheim year 2009 url http pd tutorial.com isbn 978 3936000573 cite book editor Pd graz ed. title bang. PureData publisher ..., IOhannes. loadbang Programming Electronic Music in PureData. Book review http cec.concordia.ca ... the latest Pd releases, documentation, and source code http puredata.info PureData Portal hosted ... in PureData at Geocities Dead link date October 2009 http geocities.yahoo.co.jp gl e karakuri ... music software Category Visual programming languages Category Software synthesizers ca Puredata cs PureData de PureData es Puredata fr PureData ja PureData pl PureData pt PureData ru PureData sv PureData zh PureData ... text objects message, atom, object, and comments. Like Max, Pd is a data flow programming language. As with most Digital signal processing DSP software, there are two primary rates at which data is passed ... thumb right A screenshot of MSD Editor which uses data structures to visualize control data. Frank ... more details
wiktionarypar pure TOCright Pure may refer to Computing A pure function Pure Software , a company founded in 1991 by Reed Hastings to support the Purify tool Pure FTPd , FTP server software Pure programming language , functional programming language based on term rewriting Companies and products Pure , Finnish brand of energy drink Pure Trading , a Canadian electronic communication network operated by CNQ Pure Digital , a UK consumer electronics company specialising in DAB radios Pure Oil , a U.S. chain of gas stations Entertainment Pure magazine Pure magazine , a controversial magazine created by Peter Sotos Pure video game Pure video game , an off road racing video game for Microsoft Windows, Xbox 360 and PlayStation 3 Pure Nightclub , a popular nightclub in Las Vegas, Nevada Music Pure band , a Canadian rock band Pure 3 Colours Red album Pure 3 Colours Red album 1999 , by rock band 3 Colours Red Pure Godflesh album Pure Godflesh album 1992 , by industrial metal band Godflesh Pure Gary Numan album Pure Gary Numan album 2000 , by Gary Numan Pure Hayley Westenra album Pure Hayley Westenra album 2003 , by New Zealand soprano Hayley Westenra Pure No Angels album Pure No Angels album 2003 , by German pop group No Angels Pure Lightning Seeds album Pure Lightning Seeds album 1996 , by rock band Lightning Seeds Pure The Primitives album Pure The Primitives album 1989 , by indie pop band The Primitives Pure The Jesus Lizard album Pure The Jesus Lizard album 1989 , an EP by rock group The Jesus Lizard Pure song Pure song 2005 , a single by synth rock band Orgy Pure Lara Fabian album Pure Lara Fabian album 1997 , Lara Fabian s third album Pure Garbage 2011 , by Brandon Scott McCollum, of Alexandria, LA Film and television Pure UK film Pure UK film , a 2002 British film Pure Canadian film Pure Canadian film , a 2004 Canadian film Pure Law & Order Special Victims Unit Pure Law & Order ... disambig de Pure fr Pure homonymie ja pl Pure fi Pure ... more details
orphan date January 2009 unreferenced date January 2009 Pure is a Finns Finnish energy drink. It s The Dudesons own energy drink. Pure was first brought to the market in 2007 . Pure is sold in 33 cl tin cans. With TEHO , Pure is only totally Finnish energy drink. Category Brand name beverage products Category Finnish brands Food product stub fi Teho energiajuoma ... more details
dablink For data in a computer science context, see Data computing . For other senses of the word, see Data disambiguation . See also datum , a disambiguation page. pp move indef Editors please keep the count mass discussion and etymology in the body, not the intro. The term data refers to qualitative or quantitative attributes of a variable mathematics variable or set of variables. Data plural of datum are typically the results of measurements and can be the basis of graph data structure graph s, image s, or observations of a set of variables. Data are often viewed as the lowest level of abstraction from which information and then knowledge are derived. Raw data , i.e. unprocessed data, refers ... that collect information to convert physical quantities into symbols. Etymology The word data pron ... . It is derived from ancient Persian word data . In discussions of problems in geometry , mathematics , engineering , and so on, the terms givens and data are used interchangeably. Also, data is a representation of a fact, figure, and idea. Such usage is the origin of data as a concept in computer science data are numbers, words, images, etc., accepted as they stand. Usage in English Weasel date ... data are measured. Any measurement or result is a datum , but data point is more common, ref cite ... . Both datums see usage in datum geodesy datum article and the originally Latin plural data are used as the plural of datum in English, but data is commonly treated as a mass noun and used with a verb ... the data from the experiment . This usage is inconsistent with the rules of Latin grammar and traditional English These are all the data from the experiment . Even when a very small quantity of data is referenced One number, for example the phrase piece of data is often used, as opposed to datum ... generic.xsl& publisher IEEE Computer Society ref allow usage of data as either a mass noun or plural ... data as a plural noun. For example, the Air Force Flight Test Center specifically states that the word ... more details
otheruses Data disambiguation Debt, AIDS, Trade, Africa or DATA was a multinational Non governmental organization non government organization founded in January 2002 in London by U2 s Bono along with Robert Sargent Shriver III Bobby Shriver and activist s from the Jubilee 2000 Drop the Debt campaign. DATA was created for the purpose of obtaining social equality equality and justice for Africa through debt relief , adjusting trade rules which burden Africa, eliminating the AIDS in Africa African AIDS epidemic, strengthening democracy , more accountability by the wealthiest nations and African leaders and Transparency humanities transparency towards the people. In 2007, DATA and Bono were jointly awarded the National Constitution Center s 2007 Liberty Medal for their groundbreaking efforts to address the AIDS crisis and extreme poverty in Africa. Start up funds came from the Bill & Melinda Gates Foundation , financier George Soros , and technology entrepreneur Edward W. Scott . ref cite news url http www.time.com time printout 0,8816,1142270,00.html title The Constant Charmer author Josh Tyrangiel date 2005 12 19 work Time Magazine ref In 2007, DATA and the ONE Campaign decided to join forces, and in January 2008, they formally merged under the name ONE. ref cite news url http www.reuters.com article idUSN2953856520071029 title Bono s U.S. based anti poverty groups to merge author Lesley Wroughton date 2007 10 29 work Reuters ref DATA received support from the Christian rock Alternative rock bands Switchfoot and Third Day . References references External links http www.one.org ONE official site Category International nongovernmental organizations Category HIV AIDS in Africa Category Organizations founded by Bono int org stub de Debt, AIDS, Trade in Africa it DATA vi DATA ... more details
Summary Non free use rationale Article PurePure Mimi to Shippo no Monogatari Description The cover to the PS2 Game PurePure Source Portion Front Cover Low resolution Yes Purpose To identify the game s cover Replaceability None Licensing Non free game cover PlayStation 2 ... more details
apply to all returned values for the function to be considered pure. If an argument is Pass by reference ... an expression impure even if the function called is pure. Examples Pure functions code sin x code , returning ... k,d code , running an encryption algorithm on a piece of data d using a key cryptography key k Impure ... code random seed code then code random code becomes pure, because multiple calls with the same seed ... as a side effect. Pure expressions Pure functions are required to construct pure expression programming expression s. Constant expressions are pure by definition. An expression consisting of a function subexpression applied to one or more argument subexpressions is pure if both these statements about the subexpressions hold The function and argument subexpressions are pure expressions. The function subexpression yields a pure function. Typically the function subexpression is simply a function identifier. Pure expressions are often referred to as being Referential transparency computer science referentially transparent . Evaluation of a given pure expression will yield the same result regardless ... the meaning of a program. Impure functions in pure expressions The definitions above still allow some laxity with regard to purity. It is possible for a pure expression to yield an impure function ... to be pure even if one or more of the argument subexpressions yields an impure function ..., dealing with programs that allow impure and pure functions to be mixed like this can be quite difficult ... Pure attribute in Fortran http www.digitalmars.com d 2.0 function.html pure functions Pure attribute in D language Category Functional programming Category Subroutines fr Fonction pure ... more details
Infobox Beer name Pure Blonde image File Pure Blonde Lager.jpg 200px caption brewery Carlton & United Beverages style Pale Lager year 2004 abv 4.6 og fg ibu Pure Blonde is a standard Pale lager made by Carlton & United Beverages . It is marketed as a low carbohydrate beer product Pure Blonde contains only 0.9 grams of carbohydrates per 100mL in comparison to other beers which have 2.5g to 4.0g per 100mL. ref http www.fosters.com.au brands pure blonde.aspx ref There are three Pure Blonde brands on offer, the full strength Pure Blonde, the midstrength Pure Blonde Naked and the new Pure Blonde White a wheat beer modelled off Belgian styled lagers. See also List of breweries in Australia References reflist External links http www.fosters.com.au brands pure blonde.aspx Official Site http www.smh.com.au news Good Living Fizzy blonde 2004 11 22 1100972317318.html Fizzy Blonde Good Living http www.bandt.com.au news 34 0c027a34.asp CUB gets on low carbs bandwagon http web.archive.org web 20060819090154 http www.realbeer.com.au alefiles local news article 2004 10 4 2408.php Australia s first low carb beer is pure Blonde http fragg.net video advert pure blonde Pure Blonde Advert Category Beer and breweries in Australia Category Fosters Group Beer stub sl Pure Blonde ... more details
Expand French date December 2008 Infobox French commune name Pure region Champagne Ardenne department Ardennes arrondissement Sedan canton Carignan INSEE 08349 postal code 08110 mayor Gilbert Remy term 2008&ndash 2014 intercommunality Trois Cantons longitude 5.17555555556 latitude 49.6738888889 elevation m 179 elevation min m 179 elevation max m 286 area km2 6.5 population 631 population date 2007 Pure is a Communes of France commune in the Ardennes department Ardennes Departments of France department in northern France . Population D mographie 1962 694 1968 696 1975 694 1982 651 1990 619 1999 585 2007 631 See also Communes of the Ardennes department References http www.insee.fr en home home page.asp INSEE reflist Ardennes communes Category Communes of Ardennes Ardennes geo stub ceb Pure es Pure fr Pure it Pure lb Pure ms Pure, Ardennes nl Pure pl Pure miejscowo bug Pure, Ardennes uk vi Pure, Ardennes vo Pure war Pure, Ardennes ... more details
Broadly speaking, pure mathematics is mathematics which studies entirely abstract concepts. From the eighteenth ... insightful view is that of pure mathematics as not necessarily applied mathematics . ref ... between pure and applied mathematics. Plato helped to create the gap between arithmetic , now ..., there were narrow minded opponents of pure mathematics who pejoratively inquired about the usefulness ... 19th century The term itself is enshrined in the full title of the Sadleirian Professor of Pure ... discipline of pure mathematics may have emerged at that time. The generation of Carl Friedrich Gauss Gauss made no sweeping distinction of the kind, between pure and applied . In the following .... The logical formulation of pure mathematics suggested by Bertrand Russell in terms of a quantifier ... in an axiomatic setting rigorous adds nothing to the idea of proof . Pure mathematics, according to a view that can be ascribed to the Bourbaki group, is what is proved. Pure mathematician became a recognized vocation, achievable through training. Generality and abstraction One central concept in pure mathematics is the idea of generality pure mathematics often exhibits a trend towards increased generality ... connections between pure mathematics and applied mathematics disciplines. Undeniably, though, a steep ... have always had differing opinions regarding the distinction between pure and applied mathematics ... to be ugly and dull. Although it is true that Hardy preferred pure mathematics, which he often compared to painting and poetry , Hardy saw the distinction between pure and applied mathematics to be simply ... pure mathematics expressed truths that were independent of the physical world. Hardy made a separate ... discipline in pure mathematics for the general public for instance the Goldbach conjecture ... Is what is.shtml What is Pure Mathematics? Department of Pure Mathematics, University of Waterloo http www.liv.ac.uk maths PURE wipm.html What is Pure Mathematics? by Professor P.J. Giblin The University ... more details
Pure Garage is a successful series of UK garage compilation album s. Nearly all of them are mixed by DJ EZ . In January 2000, Warner Music Group Warner Music chose Kiss 100 London Kiss 100 s DJ EZ to mix Pure Garage, a new garage compilation Compact Disc CD . Pure Garage went on to receive platinum record sales and peaked at number 2 in the UK national compilation chart. The Pure Garage series is the most acknowledged and best selling UK Garage compilation series to date. As of September 2007, the Pure Garage series had sold over 1.7 million records. Pure Garage Rewind Back To The Old Skool was released on 3 December 2007, after just 2 weeks on sale it had already earned itself Music recording sales certification Gold Disc status with over 100,000 copies sold. The latest Pure Garage compilation, The Very Best Of Pure Garage , was released on 1 December 2008 and is the first Pure Garage CD that isn t mixed my DJ EZ, instead it s mixed my Matt Jam Lamont. At March 28th 2011 a new Pure Garage compilation will be released, named Pure Garage Anthems and mixed by Jason Kaye . Pure Garage CDs Pure Garage 2CD Released 31 January 2000 Pure Garage II 2CD Released 3 July 2000 Pure Garage III 2CD Released 13 November 2000 Pure Garage IV 2CD Released 5 March 2001 Pure Garage V 2CD Released 29 October 2001 Pure Garage Presents Bass Breaks & Beats 2CD Released 3 December 2001 Pure Garage Platinum ... 2002 Pure Garage Classics 3CD Released 24 November 2003 Pure Garage Presents Four to the Floor 2CD Released 29 December 2003 Pure Garage Presents The Main Room Sessions 3CD Released 16 May 2005 Pure Garage Rewind Back to the Old Skool 4CD Released 3 December 2007 Pure Garage Presents Pure Bassline 3CD Released 30 June 2008 The Very Best Of Pure Garage 4CD Released 1 December 2008 mixed by Matt Jam Lamont Pure Garage Presents 100 Garage Classics 5cd Released 28 December 2009 Pure Garage Anthems Released 28 May 2011 mixed by Jason Kaye references http www.amazon.co.uk Pure Garage Anthems Various ... more details
Infobox Single Name Pure minua Cover Ruoska pure minua.jpg Artist Ruoska from album Amortem Released Format Recorded Genre Industrial metal Length 4 09 Label EMI Producer Tero Pekka Virtanen Last single Mies yli laidan br 2005 This single Pure minua br 2006 Next single Alasin br 2006 Pure minua is the second single from the Ruoska album, Amortem and was released in 2006. In Finnish language Finnish , Pure minua means Bite me . Track listings ref cite web url http www.findance.com arvostelut 2583 ruoska pure minua title Arvostelussa Ruoska Pure minua Findance.com accessdate 2010 10 11 publisher findance.com ref Pure minua References reflist External links http www.findance.com arvostelut 2583 ruoska pure minua Additional information in Finnish http www.netikka.net hags lyrics amortem pureminua.html Pure minua lyrics Ruoska Category Ruoska songs Category 2006 singles ... more details
Unreferenced stub auto yes date December 2009 For the 1989 single by The Lightning Seeds Pure Lightning Seeds song Infobox Single Name Pure Type single music CD Single Artist Orgy band Orgy Cover PureDiskOrgySmall.JPG Released August 23, 2005 Recorded Genre Electro pop Alternative rock Length 14 41 Label D1 Music Producer Orgy band Orgy Reviews Last single Vague song Vague br 2004 This single Pure br 2005 Next single N A Pure is the sixth single of the Rock music rock band Orgy band Orgy . It was released on August 23, 2005 as a bonus disc that came with pre orders of Orgy band Orgy s Trans Global Spectacle DVD . This disc was not sold in stores and there is no other way to obtain it outside of the Trans Global Spectacle DVD Pre Order, however the original track is on the album Punk Statik Paranoia . It was packaged in a white paper sleeve with a clear plastic front with no paper inserts of any kind. Track listing Pure Rock Mix Pure Indie Alternative Mix Pure Electric House Mix Pure CHR Modern Rock Mix Orgy DEFAULTSORT Pure Song Category 2005 singles Category Orgy songs 2000s single stub 2000s rock song stub ... more details
TWCleanup Unreferenced date January 2009 Pure bending is a condition of stress where a bending moment is applied to a beam without the simultaneous application of Cylinder stresses axial , Shear stress shear , or Deformation mechanics torsional forces . Pure bending is the flexure bending of a beam under a constant bending moment M therefore pure bending only occurs when the shear force V is equal to zero since dM dx V Category Force Category Solid mechanics Category Structural system ... more details
Multiple issues orphan November 2010 advert November 2010 wikify November 2010 unreferenced November 2010 File Pure radio logo.gif thumb Pure radio logo Pure 107.8 is a Community radio in the United Kingdom community radio station broadcasting in Stockport , south Manchester. Pure Radio is part of Pure Innovations, a not for profit organisation that employs people from disadvantaged backgrounds to build the skills and confidence to get back into employment. Around 60 volunteers work for Pure 107.8FM. Pure Radio launched full time in September 2006 and has approximately 27,000 listeners Ipsos MORI Ipsos Mori poll . It is the only radio station to exclusively cover Stockport. It covers local news and events, and plays music from the last four decades. Pure Radio also provides live commentary of every Stockport County match, both home and away. The station is based in Cheadle Heath, Stockport. Pure 107.8 can also be listened to from their website. Pure radio has mainstream programming during the day and community focused shows in the evening cover topics such as sexuality, aging and health, as well as specialist music shows including classic 60s, indie, funk, punk, soul and blues. Shows Pure Breakfast with Tim and Sara Rival Revivals The Long Lunch with Clare Lancaster Years Roll Down Stockport s Drive Home with Dave Stearn The Guestlist with Rik Magee Pure County Total Access Community Shows New Horizons, Under the Rainbow, Stockport Focus, The Basement Music Central Rock n Rock Legends, Play Something Country, Northern Soul Floorfillers, The Cellar Tapes, Way Back Grooves, Soul Patrol, Keep It Real, Fuzzbox, Stockport Years, Mix Tape, Roots & Fusion, Edge of Heaven, International Departures . Main presenters Tim Fernley Breakfast Sara Hughes Breakfast Pete Liggins News and Sport Editor Clare Lancaster The Long Lunch Dave Stearn Stockport s Drive Home Rik Magee The Guestlist Sources http www.pureradio.org.uk Category Radio stations in Manchester Category Community rad ... more details
Infobox Album See Wikipedia WikiProject Albums Name Pure Moods Type Compilation album Artist Various Artists Cover puremoods.jpg Released April 29, 1997 Originally Released 1994 Recorded various dates Genre New Age music New Age Length 69 04 Label Virgin Records Virgin Producer Reviews Allmusic Rating 5 5 Allmusic class album id r256815 pure url yes link Pure Moods is a series of compilation albums of New Age music released by Virgin Records . The series focuses on the genres of New Age , Ambient music Ambient , World Music , and to a lesser extent, subdued Electropop and Smooth Jazz . Several artists are featured regularly throughout the series such as Enigma musical project Enigma , Enya , Adiemus , Sacred Spirit , Moby and Yanni . The original volume of the series was initially promoted and sold by direct response television commercials. The first volume was initially released in 1994, with a different track listing to the 1997 re release. There are nine albums released by Virgin Records ... groups. Pinnacle Records has released a similarly named series of albums using the Pure x Moods naming scheme, such as Pure Rock Moods , Pure Tranquil Moods , etc. but these albums are unrelated to the series released by Virgin Records. Track listings Pure Moods original 1994 release Return to Innocence ... Morricone 2 52 Another Green World Brian Eno 1 31 Pure Moods 1997 re release ref cite web url Allmusic class album id r256815 pure url yes title Pure Moods accessdate 2009 02 06 author Stephen Thomas Erlewine work allmusic Album ID R 256815 publisher AMG Data Solutions ref Release Date April 1, 1997 ... 17 Pure Moods II 1998 Release Date November 17, 1998 br Label Catalog Virgin Records US 46796 The Mummers ... Lang Syne David Methven and the Munros 1 58 Glengarry s Lament David Methven and the Munros 2 00 Pure ... Me Sarah Brightman 4 00 Pure Moods IV 2002 Release Date October 1, 2002 br Label Catalog Virgin ... You re Falling Afro Celt Sound System featuring Peter Gabriel 5 17 Pure Moods Celestial Celebration ... more details
s, a pure subgroup is a generalization of direct summand . It has found many uses in abelian group ... Group mathematics group math G math is said to be pure if whenever an element of math S math has an math ... Pure subgroups are also called isolated subgroups or serving subgroups and were first investigated ... s using pure subgroups. The work of Pr fer was complimented nicely by Kulikoff ref cite journal ... are reproved using pure subgroups systematically. In particular, a nice proof is given that pure subgroups of finite exponent are direct summands. A more complete discussion of pure subgroups, their relation ... direct summand of a group is a pure subgroup Every pure subgroup of a pure subgroup is pure. A divisible group divisible subgroup of an Abelian group is pure. If the quotient group is torsion free, the subgroup is pure. The torsion subgroup of an Abelian group is pure. The union of pure subgroups is a pure subgroup. Since in a finitely generated Abelian group the torsion subgroup is a direct ... it is merely a limit and so is only a pure subgroup. Under certain mild conditions, pure ..., as in Kulikoff s paper. This is a typical use of pure subgroups as an intermediate property between ... an intermediate consideration of pure subgroups shows that all torsion Abelian groups of finite exponent group theory exponent are direct sums of cyclic groups. Generalizations Pure subgroups were generalized in several ways in the theory of abelian groups and modules. Pure submodule s were defined ... equation used above for n th roots. Pure injective module Pure injective and pure projective modules follow closely from the ideas of Pr fer s 1923 paper. While pure projective modules have not found as many applications as pure injectives, they are more closely related to the original work A module is pure projective if it is a direct summand of a direct sum of finitely presented modules. In the case ... motivation for the study of pure subgroups in Pr fer s 1923 paper. References references ... more details
The Pure & Natural is a product produced by the Dial Corporation . The line of products includes body wash, bar soap, and liquid soap. Fitting with parent Henkel s philosophy of supporting the environment and making sustainable products, Pure & Natural soaps are 98 natural in origin. The tagline for the product of Nurture yourself and the world around you, helps show Pure & Natural s commitment to not only making a quality product but also helping the environment. Pure & Natural is the only soap supported by the World Wildlife Fund for its commitment to not testing on animals. See also Dial Corporation Henkel External links http www.pure natural.com Official Pure & Natural Site Category Henkel brands Category Companies based in Scottsdale, Arizona Category Dial Corporation brands Category Soap brands ... more details
infobox software developer PureFTPd Team latest release version 1.0.29 latest release date release date 2010 3 15 operating system Cross platform genre FTP Server license Free software BSD License website http www.pureftpd.org Pure FTPd is a free BSD license FTP Server . It can be compiled and run on a variety of Unix like computer operating systems including Linux , OpenBSD , NetBSD , FreeBSD , DragonFly BSD , Solaris Operating System Solaris , Tru64 , Darwin operating system Darwin , Irix and HP UX . History Pure FTPd is based on Troll FTPd , written by Arnt Gulbrandsen while he was working at Trolltech around 1995. It is currently developed by a team led by Frank Denis. ref cite web url http www.die.net doc linux man man8 pure ftpd.8.html last Denis first Frank accessdate 2006 09 02 title pure ftpd 8 Linux man page ref See also List of FTP server software External links http www.pureftpd.org Official Webpage References Reflist network software stub Category FTP server software Category Free server software Category Free file transfer software Category IRIX software de PureFTPd fr Pure FTPd pl Pure FTPd sv Pure FTPd ru Pure FTPd ... more details
In mathematics , especially in the field of module theory , the concept of pure submodule provides a generalization of direct summand , a type of particularly well behaved piece of a module mathematics module . Pure modules are complementary to flat module s and generalize Pr fer s notion of pure subgroup s. While flat modules are those modules which leave short exact sequence s exact after tensor product tensoring , a pure submodule defines a short exact sequence that remains exact after tensoring with any module. Similarly a flat module is a direct limit of projective module s, and a pure submodule defines a short exact sequence which is a direct limit of split exact sequence s, each defined by a direct summand. Definition Let R be a ring mathematics ring , and let M , P be module mathematics module s over R . If i P M is injective then P is a pure submodule of M if, for any R module X , the natural induced map on tensor product s i id sub X sub P X M X is injective . Analogously, a short exact sequence Image short exact sequence ABC.png of R modules is pure exact if the sequence stays exact when tensored with any R module X . This is equivalent to saying that f A is a pure submodule of B . Purity can also be expressed element wise it is really a statement about the solvability of certain systems of linear equations. Specifically, P is pure in M if and only if the following condition holds for any m by n matrix mathematics matrix a sub ij sub with entries in R , and any set ... 1, ldots,m math Examples Every subspace of a vector space over a field mathematics field is pure. Every direct summand of M is pure in M . A ring is von Neumann regular ring von Neumann regular if and only if every submodule of every R module is pure. If Image short exact sequence ABC.png is a short exact sequence with B being a flat module , then the sequence is pure exact if and only if C is flat. From this one can deduce that pure submodules of flat modules are flat. References cite book first ... more details
Infobox Album See Wikipedia WikiProject Albums Name Pure Holocaust Type studio Artist Immortal band Immortal Cover Pure Holocaust.jpg Released November 1, 1993 Recorded 1993, Grieghallen Studio br Bergen , Norway Genre Black metal Length 33 56 Label Osmose Productions Osmose Producer Eirik Hundvin and Immortal band Immortal Reviews Allmusic Rating 4.5 5 Allmusic class album id r376689 pure url yes link Last album Diabolical Fullmoon Mysticism br 1992 This album Pure Holocaust br 1993 Next album Battles in the North br 1995 Pure Holocaust is the second album by Norway Norwegian black metal band Immortal band Immortal . It is generally faster sounding than its predecessor Diabolical Fullmoon Mysticism . The lyrics focus mainly on ice , snow , and fantasy landscapes . The album was released as a standard CD, as a limited LP album LP on Osmose Productions which was reissued in 2005 , and as a limited edition picture disc in 1998. ref http www.metal archives.com release.php?id 236 ref Track listing All music by Abbath Demonaz, lyrics by Demonaz Unsilent Storms in the North Abyss &ndash 3 14 A Sign for the Norse Hordes to Ride &ndash 2 35 The Sun No Longer Rises &ndash 4 19 Frozen by Icewinds &ndash 4 40 Storming through Red Clouds and Holocaustwinds &ndash 4 39 Eternal Years on the Path to the Cemetary Gates &ndash 3 30 As the Eternity Opens &ndash 5 30 Pure Holocaust &ndash 5 16 Personnel Demonaz Doom Occulta &ndash guitars Abbath Doom Occulta &ndash bass, drums & vocals Grim is credited for drums on the album and appears on the cover, however drums were played by Abbath. ref http ... Official website http immortal.battlegrim.net eng discography 1993 pure holocaust.shtml ... Encyclopaedia Metallum Immortal Category 1993 albums Category Immortal albums da Pure Holocaust es Pure Holocaust fr Pure Holocaust it Pure Holocaust no Pure Holocaust pl Pure Holocaust ru Pure Holocaust fi Pure Holocaust ... more details
Pure Oil Company was an United States American petroleum company founded in 1914 and sold to what is now Unocal Corporation Union Oil Company of California in 1965. The Pure Oil name returned in 1993 as a cooperative ... 19. ref History Three companies operating in the United States have used the Pure Oil name. The first ... business incorporated in New Jersey . Pure was organized by independent interests to counter ... . David Kirk was elected the first president. He was succeeded in 1896 by James W. Lee. Pure Oil ..., the Nobel family Nobel and Rothschild families, and Deutsche Bank . In 1900, Pure Oil became the holding company for three independent pipeline companies. Pure Oil Producing Co. was incorporated in 1902 ... a Share finance share for the company. Dawes was building an Oklahoma refinery, and Pure Oil ... the offer and made 22 million in profit on the sale. ref http www.oil150.com essays 2009 02 pure oil company, Retrieved on 2009 03 19. ref In 1920, Ohio Cities Gas Company s name changed to Pure Oil ... , and Texas . A Pure Oil Gas Station built in 1933 and located at Saratoga Springs, New York was listed ..., sales were 700 million a year, and Pure Oil ranked as one of the country s 100 largest industrial companies. Over 1000 worked in the Chicago area. The company motto was Be sure with Pure. Union Oil Company of California purchased Pure Oil in 1965. Shortly after acquisition by Union Oil, Pure Oil s Refining & Marketing operations became the Pure Oil Division of Union Oil Company of California with the Pure Oil name continuing in full force. By 1970, the Pure Oil brand was phased out, and remaining service stations and auto truck stops were rebranded as Union 76 . The Pure Oil Division was merged .... After 1970, the Pure Oil name was retained as a registered trademark, while the Firebird brand name .... ref http www.puremarketers.com history oil coop, Retrieved on 2009 03 19. ref Pure, and later Union ... http www.nascar.com 2003 news headlines official 01 29 76 fuel, Retrieved on 2009 03 19. ref Pure ... more details
for the album by The Dynamic Superiors Pure Pleasure The Dynamic Superiors album Infobox Album See Wikipedia WikiProject Albums Name Pure Pleasure Type studio Artist Shaggy musician Shaggy Cover Pure Pleasure.jpg Released August 24, 1993 Recorded 1993 Genre Reggae , Dancehall Length 45 12 Label Virgin Records Producer O.Burell Reviews Allmusic Rating 2.5 5 ref Allmusic class album id r190174 pure url yes ref Last album This album Pure Pleasure br 1993 Next album Original Doberman br 1994 Pure Pleasure is the debut album released by Jamaican rapper Shaggy musician Shaggy . The album was released on August 24, 1993. The album spawned four singles Oh Carolina , which was a dancehall remake of a ska hit by the Folkes Brothers , reached number one on the UK Singles Chart Nice and Lovely , which reached 46 on the UK Singles Chart Soon Be Done , which peaked at 39, and Big Up , which was released as the main theme from the movie Hard Times. Tracklisting Soon Be Done 4 00 Give Thanks and Praise 3 53 Lust 3 49 Oh Carolina 3 10 Tek Set 4 01 Bedroom Bounty Hunter 4 00 Nice and Lovely small featuring Rayvon small 3 43 Love How Them Flex 3 56 All Virgins 3 11 Ah E A Oh small featuring Sylva small 4 06 It Bun Me 3 36 Big Up small featuring Rayvon small 3 26 Bow Wow Wow 3 39 Follow Me 3 58 Mampie 3 44 Oh Carolina Raas Bumba Claat Version 3 50 ref http www.amazon.co.uk Pure Pleasure Shaggy dp B00005CD4U ref sr 1 1?ie UTF8&qid 1291104392&sr 1 1 ref References reflist Shaggy Category 1993 albums Category Shaggy albums Category Debut albums it Pure Pleasure pt Pure Pleasure tr Pure Pleasure ... more details
Infobox single Name Pure Massacre Cover Pure Massacre.jpg Artist Silverchair from Album Frogstomp Released January 16, 1995 ref http www.chairpage.com gallery Silverchair Gallery Bot generated title ref Format CD single , Vinyl record 12 Recorded 1994 Genre Grunge Length 4 34 Label Murmur record label Murmur Writer Daniel Johns , Ben Gillies Producer Phil McKellar Last single Tomorrow Silverchair song Tomorrow br 1994 This single Pure Massacre br 1994 Next single Israel s Son br 1995 Extra album cover Upper caption Alternative Covers Type single Cover SilverchairEuMassacre.jpg Lower caption UK edition CD 12 Vinyl single Pure Massacre is a single released by Rock music rock Musical ensemble band Silverchair in 1995 and is the second single from their debut album Frogstomp , which was also released in 1995. The song was performed on Saturday Night Live ref http snlarc.jt.org ep.php?i 199512098 SNL Archives Detail. Retrieved October 14, 2007. ref . Track listing Australian CD small MATTCD005 small Cassette Single small MATTC005 small Pure Massacre Faultline Live in Newcastle Oct 21 1994 Stoned Live in Newcastle Oct 21 1994 European CD Single Austrian EU small 6612872 small Pure Massacre Acid Rain Blind Stoned UK CD Single small 6622642 small Pure Massacre Acid Rain Blind UK 12 Vinyl small 0166226420 small Pure Massacre Acid Rain Stoned Blind US promo CD small ESK7275 small Pure Massacre Radio Edit References reflist Silverchair Category 1994 singles Category Silverchair songs ca Pure Massacre ... more details
Nofootnotes date August 2008 Notability date August 2008 Pure is a popular nightclub at Caesars Palace in Las Vegas metropolitan area Las Vegas , Nevada . The venue is convert 40000 sqft lk on ref cite web author title PURE Nightclub url http www.caesarspalace.com casinos caesars palace casino misc pure nightclub detail.html work publisher Harrah s License Company date accessdate 2009 10 19 ref and is the host of Pussycat Dolls The Las Vegas show and casino, 2005 present The Pussycat Dolls Lounge . The club is frequented by celebrities. The club is operated by Pure Management Group . ref cite web author title Venues url http www.purelv.com work publisher Pure Management Group date accessdate 2009 10 19 ref Pure offers three separate partying spaces, each with their own djs the dance area, lounge and terrace. ref cite web title Sienna Entertainment, VIP Passes Pool Parties url http www.siennaentertainment.com pure ref Appearance fees The club is known to pay significant appearance fees for celebrities to attend events at the club. During the fall of 2009, The Howard Stern Show staff Scott the Engineer Scott the Engineer of the Howard Stern Show made an appearance as a celebrity DJ. ref cite web author title Lindsay Lohan Repays Pure Nightclub 350,000 Appearance Fee url http www.theinsider.com news 460092 Lindsay Lohan Repays Pure Nightclub 350 000 Appearance Fee work publisher CBS Interactive Inc. date 2007 11 09 accessdate 2009 10 19 ref References reflist External links http www.purethenightclub.com Pure coord missing Nevada Category Nightclubs in Las Vegas Category Las Vegas Strip Nevada stub ... more details
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