Singlebaseextension SBE is a method for determining the identity of a nucleotide base at a specific position along a nucleic acid . The method is used to identify a single nucleotide polymorphism SNP . In the method, an oligonucleotide primer hybridizes to a complementary region along the nucleic acid, to form a duplex, with the primer s terminal 3 end directly adjacent to the nucleotide base to be identified. The oligonucleotide primer is enzymatically extended a singlebase by a nucleotide terminator complementary to the nucleotide being identified. The terminator prevents additional nucleotides from being incorporated. Many approaches can be taken for determining the identity of a terminator, including fluorescence labeling, mass labeling for mass spectrometry, measuring enzyme activity using a protein moiety, and isotope labeling. The method was invented by Phillip Goelet, Michael Knapp and Stephen Anderson while working at the company Molecular Tool. The Illumina Methylation Assay utilizes this method in their Infinium technology to measure DNA methylation levels in the human genome. References Philip Goelet, Michael R. Knapp, Stephen Anderson, 1999 , U.S. Patent No 5,888,819. Washington, DC U.S. Patent and Trademark Office. Category Genetics de SingleBaseExtension ... more details
wiktionary extend extensionExtension may refer to Computing Filename extension , suffix to the name of a computer file, designed to show its format Software extension , a file containing programming that serves to extend the capabilities of or data available to a more basic program Extension Mac OS , particular type of this software Add on Mozilla Mozilla extension s for Firefox and other Mozilla projects Mathematics In mathematics , the word extension has many uses. See Analysis Carath odory s extension theorem Continuous linear extension M. Riesz extension theorem Krein extension theorem Hahn Banach theorem Algebra Abelian extension Algebraic extension Artin Schreier extension Group extension 23Central extension Central extension Cyclotomic extension&mdash see abelian extension Degree of a field extension Dual basis in a field extensionExtension and contraction of ideals Extension of modules Extension problem Field extension Galois extension Group extension Integral extension Kernel extension theorem Kummer extension Normal extension Quadratic extension Quadratic field extension Ring extension Separable extension Simple extension Splitting of prime ideals in Galois extensions Trivial extension&mdash see field extension Algebraic geometry Sheaf extension Logic Set theory Axiom of extensionality Extensible cardinal Extension model theory Extension predicate logic Extensionality Order theory Linear extension Probability theory Kolmogorov extension theorem Topology Homotopy extension property Tietze extension theorem Geometry Exterior algebra , Grassmann s theory of extension . Extension of a polyhedron Music Extension music , notes that fit outside the standard range Extension album Extension album , 1964 album by American saxophonist George Braith Extensions McCoy Tyner ... Uses The building of community capacity by outsiders, for instance agricultural extensionExtension geology , relating to the pulling apart of the Earth s crust and lithosphere Extension kinesiology ... more details
wiktionarypar singleSingle may refer to In music Single music , a song release Single Natasha Bedingfield song Single Natasha Bedingfield song Single New Kids on the Block and Ne Yo song Single New Kids on the Block and Ne Yo song Single coil , an electromagnetic guitar pickup type In sports Single baseball , the most common type of base hit Single cricket , point in cricket Single football , Canadian football point Single scull , a rowing boat propelled by a single rower with two oars In other fields Single , a slang term for a United States one dollar bill one dollar bill . Studio apartment Single , a single unit type of apartment dwelling also known as a studio Single , in Dublin and other parts of Ireland , a single portion of french fries chips , especially as part of the popular take away meal fish and chips . Glossary of bets offered by UK bookmakers Single bet , a type of bet made on one selection Single locomotive , a steam locomotive with a single pair of driving wheels Single cylinder engine , an engine with one piston Single person , a person who is not married usually refers today to someone who is neither married nor in a sexual relationship Single precision , a computer numbering format that occupies one storage location in computer memory at a given address See also Single ended disambiguation Singles disambiguation disambig da Single de Single es Solo fr Single it Singolo disambigua ko he nl Single ja pl Singel pt Singles simple Single sr Singl fi Sinkku sv Singel th uk ... more details
Unreferenced date December 2009 Single infobox Name A Single Cover Ed9595e8 a709 4ecc ac73 c24d89c2877c.jpg Artist The Cure from Album Pornography album Pornography Released July 12, 1982 Format Double Gramophone record 7 Gramophone record 7 Gramophone record 10 Recorded April 27, 1982 part 2 Genre Gothic rock Length 4 22 Label Fiction Records Producer Chris Parry producer Chris Parry br Phil Thornalley br The Cure Last single Charlotte Sometimes song Charlotte Sometimes br 1981 This single A Single br 1982 Next single Let s Go to Bed The Cure song Let s Go to Bed br 1982 A Single was the first limited edition release by The Cure . It was released as a gatefold double pack of 7 singles with a total of four tracks. It has also been released as a 10 record which contains all four songs from the double 7 pack, as well as a single 7 featuring only The Hanging Garden and Killing an Arab FICS 15 . Whilst the official name is A Single , this release is often referred to as The Hanging Garden as a way of avoiding confusion. The single made it to number 34 in the UK Singles Chart. Cover versions In 1998, the California based alternative rock band, AFI band AFI , covered The Hanging Garden , which was released on their A Fire Inside EP . Track listing Part one The Hanging Garden One Hundred Years Part two recorded April 27, 1982 at the Carling Apollo Manchester Manchester Apollo A Forest Live Killing an Arab Live Personnel Simon Gallup bass guitar bass , keyboard instrument keyboard Robert Smith musician Robert Smith guitar , keyboard, Singing vocals Lol Tolhurst Drum kit drums , keyboard TheCure DEFAULTSORT Single, A Category The Cure songs Category 1982 singles Category Songs written by Robert Smith es A single fr The Hanging Garden gl A Single pt A Single ... more details
unreferenced date December 2007 Infobox Book name Single and Single title orig translator image File Single&Single.jpg 180px image caption 1st edition author John le Carr illustrator cover artist country language English series subject genre Crime , Fiction , Mystery novel publisher Hodder & Stoughton pub date 1999 english pub date media type Print Hardback & Paperback also Audiobook pages 352 isbn 0 340 73897 9 oclc 44694435 preceded by followed by Single and Single is a novel by John le Carr . It is the story of a British HM Customs and Excise Customs and Excise officer on the trail of elusive fraudster Tiger Single. Helped by Tiger s son Oliver, Brock of Customs and Excise unravels the mystery of an international money laundering operation. Synopsis Like many of Le Carre s novels, the narrative begins in the in media res style, midway through the events which have precipitated the opening scene. Present Day In Istanbul , Alfred Winser, a corporate lawyer with the London finance house Single & Single, is executed in cold blood by Alix Hoban, his firm s leading client, for reasons he cannot comprehend. In Devon, England , Oliver Hawthorne is a down at heel children s magician lodging in a small hotel owned by a woman named Elsie and her son Sammy. After finishing his latest performance, he receives an urgent call from his banker, who informs him that an anonymous benefactor has deposited the staggering sum of 5,000,030 pounds sterling pounds into the trust Oliver created for his ... Single joins his father Tiger Single s firm just after graduating from law school. After the warming ..., and she and Oliver soon become lovers. All of Single & Single s plans collapse with the Soviet coup ... his misgivings. Before long, Single & Single and the Orlovs appear to be prosperous again ... Oliver Single is a complex character, disaffected and clumsy, a giant of a man, who has tried for years ... Carr s earlier spy novels, and much spycraft is applied in the hunt for Tiger Single. Now that the wall ... more details
Wiktionary baseBase or BASE may refer to In computing BASE search engine , Bielefeld Academic Search Engine Basically Available, Soft state, Eventual consistency BASE , a consistency model Google Base , an online database provided by Google OpenOffice.org Base , OpenOffice.org s database module, also known as ooBase an HTML element Document head elements HTML element code base code In mathematics Base geometry , a side of a plane figure for example a triangle Base group theory , a sequence of distinct elements of a set Base exponentiation or radix, the b in b sup n sup Base topology , a topological space Radix or base, the number of distinct digits in a positional numeral system In science Base ... form, for example erythromycin base Beta alumina solid electrolyte , a fast ion conductor material In other uses Base baseball , the first, second, and third base on a baseball diamond Base company , an international design, communications, audiovisual, copywriting and publishing firm Base politics , a group of voters who almost always support a single party s candidates Base, Maharashtra , village in India BASE mobile , a Belgian mobile telecommunications operator Bedini Audio Spectral Enhancer , an audio signal processor used in the early 1990s Cooking base , a concentrated flavouring ... , a cosmetic applied to the face Foundation architecture Military base , or non military base, which ... Base, a type of connection on a transistor Base, a position in some cheerleading stunts People with the surname Rob Base , American rapper See also Wikisource1911Enc BaseBase pair , a pair of connected ... involved in forming base pairs Bipolar junction transistor , Base Switch that controls current in a transistor Base and superstructure Marxism BASE jumping Business Association of Stanford Entrepreneurial ... disambiguation ar an Base ast Base bs Baza vor ca Base cs B ze da Base de Base el es Base eo Bazo fr Base gl Base hr Baza io Bazo ia Base it Base he la Basis ... more details
The Base may refer to The Base film The Base mall , a major shopping complex in Hamilton, New Zealand Al Qaeda Arabic for the Base See also Base disambiguation disambig ... more details
name as a single string, not split into base name and extension components, with the . being just ..., the filename extension is generally mapped to a single, system wide selection of interpreter ...refimprove date May 2009 A filename extension is a substring suffix separated from the basefilename by a dot ... limit the length of the extension such as the File Allocation Table FAT file system not allowing .... The exact definition, giving the criteria for deciding what part of the file name is its extension, belongs to the rules of the specific filesystem used usually the extension is the substring which follows the last occurrence, if any, of the full stop dot character example code txt code is the extension of the filename code readme.txt code , code html code the extension of code mysite.index.html ... M and derivative systems such as MS DOS , the extension is a separate namespace from the filename ... applications to be associated with a given extension, and different actions were available for selecting ... the file. Pre OS X versions of the Mac OS disposed of filename based extension metadata entirely ... system. Improvements The filename extension was originally used to easily determine the file s generic ... RPM Package Manager packages and RealPlayer Media files ref http filext.com file extension rpm File Extension .RPM Details from filext.com ref others being code .qif code , shared by DESQview fonts, Quicken financial ledger s, and QuickTime pictures, ref http filext.com file extension qif File Extension ... Boy Advance ROM images. ref http filext.com file extension GBA File Extension .GBA Details ref Some ... names, and did not divide the file name into a name and an extension. The convention of using suffixes ... long file names and did not divide the file name into a name and an extension, but again ... filename extension. This also became a problem for programmers experimenting with the Java programming ..., Microsoft Windows Windows introduced support for long file names, and removed the 8.3 name extension ... more details
In mathematics , a Galois extension is an Algebraic extension algebraic field extension E F satisfying certain conditions described below one also says that the extension is Galois . The significance of being a Galois extension is that the extension has a Galois group and obeys the fundamental theorem of Galois theory . The definition is as follows. An algebraic field extension E F is Galois if it is normal extension normal and separable extension separable . Equivalently, the extension E F is Galois if and only if it is algebraic extension algebraic , and the fixed field field fixed by the automorphism group Aut E F is precisely the base field F . See the article Galois group for definitions of some of these terms and some examples. A result of Emil Artin allows one to construct Galois extensions as follows If E is a given field, and G is a finite group of automorphisms of E , then E F is a Galois extension, where F is the fixed field of G . Characterization of Galois extensions An important theorem of Emil Artin states that for a finite extension E F , each of the following statements is equivalent to the statement that E F is Galois E F is a normal extension and a separable extension . E is a splitting field of a separable polynomial with coefficients in F . E F Aut E F that is, the degree field theory degree of the field extension is equal to the order group theory order of the automorphism group of E F . Examples Adjoining to the rational number field the square root of 2 gives a Galois extension, while adjoining the cube root of 2 gives a non Galois extension. Both these extensions are separable, because they have characteristic zero . The first of them is the splitting field of X sup 2 sup &minus 2 the second has Normal extension normal closure that includes the complex ... Extension Category Galois theory Category Algebraic number theory Category Field extensions ca Extensi de Galois es Extensi n de Galois fr Extension de Galois it Estensione di Galois he ... more details
generalized to Azumaya algebra s, where the base field is replaced by a commutative local ring . Extension ... theory . The general idea is to start with a base field mathematics field and construct in some manner a larger field which contains the base field and satisfies additional properties. For instance, the set Q 2 a b 2 a , b Q is the smallest extension of Q which includes every real solution to the equation ... in L , then K is said to be a subfield of L , and L is said to be an extension field of K . We then say that L K , read as L over K , is a field extension . If L is an extension of F which is in turn an extension of K , then F is said to be an intermediate field or intermediate extension or subextension of the field extension L K . Given a field extension L K and a subset S of L , K S denotes the smallest ... extension of the form L K s is called a simple extension and s is called a primitive element field theory primitive element of the extension. Given a field extension L K , then L ... of a field extension degree of the extension , and is denoted by L K . An extension of degree 1 that is, one where L is equal to K is called a trivial extension . Extensions of degree 2 and 3 ... is finite or infinite the extension is called a finite extension or infinite extension . Notes ... one, but is naturally embedded. For this purpose, one abstractly defines a field extension ... number s C is an extension field of the field of real number s R , and R in turn is an extension field of the field of rational number s Q . Clearly then, C Q is also a field extension. We have C R 2 because 1, i is a basis, so the extension C R is finite. This is a simple extension because C R math i math . R Q math mathfrak c math the cardinality of the continuum , so this extension is infinite. The set Q 2 a b 2 a , b Q is an extension field of Q , also clearly a simple extension. The degree is 2 because 1, 2 can serve as a basis. Finite extensions ... more details
Extension neglect is a category of cognitive bias defined as appearing when unless attention is specifically directed to it, the size of the set has little or no influence on its valuation ref cite book last Kaheman first Daniel title Choices, Values and Frames year 2000 pages 708 authorlink Daniel Kahneman editor Daniel Kahneman and Amos Tversky Eds. chapter Evaluation by moments, past and future ref However, if attention is drawn to set size in an easily interpretable way, an additive extension effect is reported, according to which the valuation of a set is a function of the valuation of a prototypical member of the set added to set size, rather than multiplied ref Kahneman, 2000 ref . Forms of extension neglect include base rate neglect insensitivity to sample size scope neglect duration neglect the peak end rule the conjunction fallacy the less is better effect Extension neglect is described as being caused by judgment by prototype , a refinement of the representativeness heuristic . References references category cognitive biases ... more details
, mathematics , semantics , and semiotics the extension of a concept, idea, or sign semiotics sign ... , the extension of a concept or expression is the set of things it extends to, or applies to, if it is the sort of concept or expression that a single object by itself can satisfy. Concepts .... So the extension of the word dog is the set of all past, present and future dogs in the world the set includes Fido, Rover, Lassie , Rex, and so on. The extension of the phrase Wikipedia reader includes each person who has ever read Wikipedia, including you . The extension of a whole statement, as opposed to a word or phrase, is defined since Frege 1892 as its truth value . So the extension of Lassie ... and expressions have, for their extension, the set of all sequences of objects that satisfy the concept or expression in question. So the extension of before is the set of all ordered pairs of objects such that the first one is before the second one. Mathematics In mathematics , the extension ..., the extension of a function mathematics function is a set of ordered pair s that pair up the arguments and values of the function in other words, the function s graph. The extension of an object in abstract algebra , such as a Group mathematics group , is the underlying set of the object. The extension of a set is the set itself. That a set can capture the notion of the extension of anything is the idea behind the axiom of extensionality in axiomatic set theory . This kind of extension is used ... extension . Computer science In computer science , some database textbooks use the term intension to refer to the logical schema schema of a database, and extension to refer to particular Row database ..., actual things can be in the extension of a concept or expression. Note that actual may not mean ... exist. The extension of the term Socrates , for example, seems to be a currently non existent ... formulations in the field of general semantics rely heavily on a valuation of extension over intension ... more details
about the general concept of agricultural extension agricultural extension in the United States Cooperative extension service Image Bartlett Extension Meeting Laos 2006 .jpg frame right Agricultural Extension Meeting in Laos, 2006 Agricultural extension was once known as the application of scientific research and new knowledge to agricultural practices through farmer education. The field of extension ... , and business studies . Extension practitioners can be found throughout the world, usually working ... APEN , networks such as http www.odi.org.uk agren AGREN and extension journals such as http www.joe.org Journal of Extension . Agricultural extension agencies in developing countries have ... Bank and the Food and Agriculture Organization FAO of the United Nations. Extension terminology The term Continuing education extension was first used to describe adult education programmes in England ... to promote Persian Tarvij & Gostaresh to promote and to extend In the US, an extension agent is a university .... Another program area extension agents provide is 4 H and Youth. Many extension agents work for cooperative extension service programs at land grant university land grant universities . They are sometimes referred to as county US county agents or educators. Definitions of extension There is no widely accepted definition of agricultural extension. The ten examples given below are taken from a number of books on extension published over a period of more than 50 years 1949 The central task of extension ... Pao Yang, E. 1949 Rural America and the Extension Service , Columbia University ref 1965 Agricultural extension has been described as a system of out of school education for rural people. ref Saville, A.H. 1965 Extension in Rural Communities A Manual for Agricltural and Home Extension technician Workers . Oxford University Press ref 1966 Extension personnel have the task of bringing scientific knowledge ... of agriculture . ref Bradfield, D.J. 1966 Guide to Extension Training 1st Edition , FAO ref 1973 Extension ... more details
In telecommunications , a demarc extension is the transmission path originating from the interface of the access provider s side of a telecommunications circuit demarcation point within a premise and ending at the termination point prior to the interface of the edge Customer premises equipment Customer Premises Equipment CPE . This may include in segment equipment, media converters and patch cords as required to complete the circuit s transmission path to the edge CPE. A demarc extension may also be referred to as inside wiring, extended demarc, circuit extension, CPE cabling and riser cabling. Diagram File Demarc ExtensionSingle Segment.jpg History A demarc extension became an important factor to consider in a building s telecommunications infrastructure after the 1984 Bell System Divestiture deregulation of AT&T as well as the supplemental FCC rulings of 1991, Telecommunications Act of 1996 1996 and 1997. Preceding these rulings, the Bell System Companies held a monopoly and did not allow an interconnection with third party equipment. The incumbent local exchange carrier s ILEC and other local access providers are now mandated by federal law to provide a point where the operational control or ownership changes. This separation between the local access provider and the end user subscriber is called the demarcation point within a facility typically a short distance from the minimum point of entry . This then becomes the responsibility of the end user to extend their service to the CPE location within a facility to provide connectivity for service, requiring a demarc extension. See also Carterfone Hush A Phone v. United States On premises wiring References http www.demarcextension.com Demarc Extensions DE Information Terminology.htm Demarc extension terminology http www.fcc.gov wcb iatd part 68.html Part 68 http www.fcc.gov Reports tcom1996.pdf Telecommunications Act of 1996 DEFAULTSORT Demarc Extension Category Telecommunications terms ... more details
Central extension may refer to Central Extension Long Island Rail Road , a rail line Central extension mathematics , a type of group extension disambig ... more details
Refimprove date July 2010 Image Extension cord.JPG thumb right Yellow NEMA connector NEMA 5 NEMA 5 15 Extension Cord An extension cord , power extender , or extension lead is a length of flexible electrical ... and receptacle are of different types, the term adapter cord may be used. Extension cable is also used, but that has a distinct meaning from extension cord for many people. File Verlengsnoer op haspel extension cord .jpg thumb right Extension reel Overview Some extension cords also incorporate ... fault circuit interrupter or GFCI . Extension cords come in various lengths and thicknesses, and service ... oils, or exposed to sunlight for long periods should be selected for such specific service. An extension reel is an extension lead that rolls up, usually into the socket end, which in some cases has more than one socket on it often 2 or 4 . Another type of extension reel hangs near the plug end and permits ... extension cord terminating in a power strip. The term extension cord has been in use since at least ... to cut the cord to size, extension cords are sold in prefabricated lengths 1 to 150 feet 30 ... of this, it is best to use a cord as long as is needed ref cite web title Extension cords url http www.homedepot.com webapp catalog servlet ContentView?pn Extension Cords Reels&langId 1&storeId 10051 ..., the National Electrical Code NEC prohibits the use of extension cords in a 20 A circuit unless they are of 16 ... a template used for part of building codes restrict use of extension leads which are by definition ... 0 cellpadding 5 U.S. extension cord specifications ref Coleman Cable Inc. ref Conductor br American ... 2 16 3 13A 50 10A 100 rowspan 2 14 3 15A 50 13A 100 12 3 15A 100 10 3 15A 100 File Counterfeit extension cord 06256.jpg thumb Counterfeit extension cord silver UL label . Undersize wiring is a fire hazard. Within the United States, Underwriters Laboratories certifies extension cords as complying with the NEC ... 817 date 2001 03 16 ref for the entire extension cord, and UL 62 ref cite web title Flexible Cords ... more details
Western Extension is generally used for any westward expansion of a road, rail line or populated place. It may also have one of the following meanings The Western Extension of the Pennsylvania Turnpike Western Extension Baltimore and Harrisburg Railway Western Extension of a Maryland railroad South Carolina Western Extension Railway Western Extension Area Disambig ... more details
In mathematics , more specifically in field theory mathematics field theory , a simple extension is a field extension which is generated by the adjunction field theory adjunction of a single element. Simple extensions are well understood and can be completely classified. The primitive element theorem provides a characterization of the finite extension finite extensions which are simple. Definition A field extension L K is called a simple extension if there exists an element in L with math L K theta . math The element is called a primitive element , or generating element , for the extension we also say that L is generated over K by . A primitive element finite field primitive element of a finite field is a generating set of a group generator of the field s group of units multiplicative group . When said at greater length In the realm of finite field s, a stricter definition of primitive element is used. The group of units multiplicative group of a finite field is cyclic group cyclic , and an element is called a primitive element if and only if it is a generating set of a group generator for the multiplicative group. The distinction is that the earlier definition requires that every element of the field be a quotient of polynomials in the primitive element, but within the realm of finite fields the requirement is that every nonzero element be a pure power of a primitive element. An attempt to distinguish these meanings by calling a field primitive element of L over K, and a generator of the multiplicative group of a finite field a group primitive element is made by harv Roman 1995 . Notes The only field contained in L which contains both K and is L itself. More concretely ... number field is a simple extension Q for some F X F generated by X . Classification of simple extensions ... ring K X in one indeterminate, Let K &theta be a simple extension. If &theta is algebraic element algebraic ... simple fr Extension simple it Estensione semplice uk ... more details
orphan date August 2009 An extension agency is an organisation that practises Extension semantics extension , in the context of community development . An example is the Cooperative Extension Service , which aims to assist individuals or groups in defining and achieving their goals in rural communities in the USA. Extension agents are trained in the skills of extension, such as communication and group facilitation, and usually in technical areas of the sector they serve for example agriculture, health, or safety . Agricultural extension agencies promote more profitable and sustainable farming, while health extension agencies promote improved health. Extension agents are represented by professional organisations such as the http www.apen.org.au Australasia Pacific Extension Network and publish in journals such as the http www.joe.org Journal of Extension . DEFAULTSORT Extension Agency Category Urban studies and planning ... more details
In mathematics , a group extension is a general means of describing a group mathematics group in terms of a particular normal subgroup and quotient group . If Q and N are two groups, then G is an extension ... 1. , math If G is an extension of Q by N , then G is a group, N is a normal subgroup of G and the quotient group G N is isomorphic to group Q . Group extensions arise in the context of the extension problem , where the groups Q and N are known and the properties of G are to be determined. An extension is called a central extension if the subgroup N lies in the center of a group center of G . Extensions in general One extension, the direct product of groups direct product , is immediately ... exists which treats all the possible extensions at one time. Group extension is usually described as a hard problem it is termed the extension problem . To consider some examples, if G H × K , then G is an extension of both H and K . More generally, if G is a semidirect product of K and H , then G is an extension of H by K , so such products as the wreath product provide further examples of extensions. Extension problem The question of what groups G are extensions of H is called the extension problem , and has been studied heavily since the late nineteenth century. As to its ... A sub i sub , where each A sub i 1 sub is an extension of A sub i sub by some simple group . The classification ... to the extension problem would give us enough information to construct and classify all finite groups in general. We can use the language of diagrams to provide a more flexible definition of extension a group G is an extension of a group H by a group K if and only if there is an exact sequence ... with a single element. This definition is more general in that it does not require that K be a subgroup ... sup . Classifying extensions Solving the extension problem amounts to classifying all extensions ... A split extension is an extension math 1 rightarrow K rightarrow G rightarrow H rightarrow 1 math for which ... more details
In mathematics , more specifically in ring theory , a ring extension or extension ring is a ring mathematics ring R with a subring S . We write R S and say R is a ring extension of S Given an extension R S of commutative rings and a prime ideal P of R , it follows that the intersection, say p , of P with S is a prime ideal of S . In this case we say that P lies over p . The situation is more complicated when R is not commutative. Examples A field extension is a special case of ring extension. See also Integral extension Group extension Algebraic extension Ore extension References MathWorld title Extension Ring id ExtensionRing Category Ring theory Abstract algebra stub eo Ringa vastiga o it Estensione di anelli nl Ringuitbreiding ... more details
Unreferenced date January 2011 In field theory mathematics field theory , a branch of algebra, primary extension L of K is a field extension such that the algebraic closure K in L is purely inseparable over K . A subextension of a primary extension is primary. A primary extension of a primary extension is primary transitivity . A primary extension of a perfect field is regular extension regular . Category Field theory Abstract algebra stub ... more details
Cleanup date April 2007 Marketing Brand extension or brand stretching is a marketing strategy in which ... name . An example of a brand extension is Jello gelatin creating Jello pudding pops. It increases awareness ... extension to introduce new brands and to create sales. ref Keller, K.L. 1998 , Strategic Brand ... products benefit from existing brand names , Business Horizons, 24 2 , pp. 36 41. ref Brand extension ... extension strategies, there can also be significant risks, resulting in a diluted or severely damaged brand image. Poor choices for brand extension may dilute and deteriorate the core brand and damage ... extension are at higher rate than the successes. Some studies show that negative impact may dilute ... 1 , pp. 19 32 ref In spite of the positive impact of brand extension, negative association and wrong ... of the target market and increase the variety of an offering. An example of a product extension is Coca ... extension Brand extension research mainly focuses on consumer evaluation of extension and attitude ... to measure the fit of extension. First, the Complement refers to consumers taking two product classes extension and parent brand product as complementary in satisfying their specific needs. ref ... between extension product and manufacturer which reflects the perceived ability of any firm ... one focuses on the firm s perceived ability. From the line extension to brand extension, however, there are many different types of extension such as brand alliance , ref Rao and Ruejert, 1994. incomplete ... , Journal of Consumer Psychology, 6 2 , pp. 119 40. ref or brand franchise extension . ref Tauber, 1981, p.36. ref Tauber 1988 suggests seven strategies to identify extension cases such as product with parent ... be classified into two category of extensionextension of product related association and non product ... extension is a licensed brand extension. In this scenario, the brand owner works with a partner ... categorisation theory as their fundamental theory to explore the effects of brand extension. ref Park ... more details
Infobox Album See Wikipedia WikiProject Albums Name Extension of a Man Type studio Artist Donny Hathaway Cover Extension.of.a.man.jpg Released Start date 1973 6 18 Recorded Start date 1971 10 11 br End date 1973 11 26 br A&R Recording Studios br Bell Sound, Regent Sound br Atlantic Recording Studios br small New York, New York small br Universal Studios br small Chicago, Illinois small Genre R&B Soul music Soul Length 47 33 Label Atco Records Atco br small 7029 small Producer Arif Mardin Last album Live Donny Hathaway album Live br 1972 This album Extension of a Man br 1973 Next album In Performance br 1980 Misc Singles Name Extension of a Man Type Studio single 1 Love, Love, Love single 1 date 1973 single 2 Come Little Children single 2 date 1974 Album ratings rev1 Allmusic rev1Score Rating 4 5 Allmusic class album id r66887 pure url yes link rev2 MusicHound rev2Score Rating 4.5 5 http www.acclaimedmusic.net Current A2492.htm link rev3 Rolling Stone rev3Score favorable http www.rollingstone.com reviews album 245262 review 5940788?utm source Rhapsody&utm medium CDreview link noprose yes Extension of a Man is an album released by the R&B Soul music Soul singer Donny Hathaway in 1973. It was his last studio album. It s noted for including a young Stanley Clarke of then Return to Forever on a couple of tracks, as well as drummer Fred White, brother to Earth, Wind & Fire s Maurice White who worked with Hathaway in Chicago in the early days . Track listing I Love the Lord He Heard My Cry, Pts. 1 & 2 Hathaway 5 32 Someday We ll All Be Free Hathaway, Edward Howard 4 14 Flying Easy Hathaway 3 13 Valdez in the Country Hathaway 3 33 I Love You More Than You ll Ever Know Al Kooper 5 23 Come Little Children Hathaway 4 35 Love, Love, Love J.R. Bailey , Ken Williams 3 25 The Slums Hathaway ... Preston 4 06 Lord Help Me was originally only released as a B side to the single I Love You More Than You ll Ever Know . It did not feature on Extension Of A Man until the 1993 Compact Disc re release ... more details
the ease of finding a single linear extension, the problem of counting all linear extensions of a finite ...In order theory , a branch of mathematics, a linear extension of a partial order is a linear order or total order that is compatible with the partial order. Definitions Given any partial orders and sup sup on a set X , sup sup is a linear extension of exactly when 1 sup sup is a linear order and 2 for every x and y in X , if nowrap x y , then nowrap x sup sup y . It is that second property that leads mathematicians to describe sup sup as extending . Alternatively, a linear extension may be viewed as an order preserving bijection from a partially ordered set P to a Total order Chains chain C on the same ground set. Order extension principle Further2 Szpilrajn extension theorem The statement that every partial order can be extended to a total order is known as the order extension principle . A proof using the axiom of choice was first published by Edward Marczewski in 1930. Marczewski writes that the theorem had previously been proven by Stefan Banach , Kazimierz Kuratowski , and Alfred Tarski ... pages 386 389 title Sur l extension de l ordre partiel url http matwbn.icm.edu.pl ksiazki fm fm16 fm16125.pdf volume 16 year 1930 . ref In modern axiomatic set theory the order extension theory is itself taken as an axiom, of comparable ontological status to the axiom of choice. The order extension ... Association for Symbolic Logic title The Independence of the Prime Ideal Theorem from the Order Extension Principle volume 64 jstor 2586759 . ref Applying the order extension principle to a partial order ... of set theory in which the ordering principle holds while the order extension principle does not. ref citation last Mathias first A. R. D. contribution The order extension principle editor1 last Scott ... results The algorithmic problem of constructing a linear extension of a partial order on a finite set ... chooses a linear extension of P uniformly at random, there is a pair x , y which has probability ... more details
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