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Encyclopedia results for Cut elimination theorem

Cut elimination theorem





Encyclopedia results for Cut elimination theorem

  1. Cut-elimination theorem

    The cut elimination theorem or Gentzen s Hauptsatz is the central result establishing the significance ... and classical logic respectively. The cut elimination theorem states that any judgement that possesses a proof in the sequent calculus that makes use of the cut rule also possesses a cut free proof , that is, a proof that does not make use of the cut rule. A sequent is a logical expression ... of the formula C out of the inferential relation. The cut elimination theorem states that for a given system any sequent provable using the rule Cut can be proved without use of this rule. If we think of math D, E, ldots math as a theorem, then cut elimination simply says that a lemma math C math used to prove this theorem can be inlined. Whenever the theorem s proof mentions lemma mathematics lemma math C math , we can substitute the occurrences for the proof of math C math . Consequently, the cut ... proof s are those proofs that do not use Cut. Typically such a proof will be longer, of course, and not necessarily trivially so. In his essay Don t Eliminate Cut George Boolos demonstrated that there was a derivation that could be completed in a page using cut, but whose analytic proof could not be completed in the lifespan of the universe. The theorem has many, rich consequences A system is consistency proof inconsistent if it admits a proof of the absurd. If the system has a cut elimination theorem .... Thus, once a system is shown to have a cut elimination theorem, it is normally immediate ... notes about cut elimination, German, 2002 2003 ref Note that the left hand side LHS is a conjunction ... elimination is one of the most powerful tools for proving Craig interpolation interpolation theorem ... Howard isomorphism , cut elimination algorithms correspond to the strong normalization property ... logische Schlie en II Reflist External links MathWorld urlname CutEliminationTheorem title Cut Elimination ... it is the interplay of the logical and structural rules that is the key here. Cut is a rule in the normal ...   more details



  1. Fold-and-cut theorem

    refimprove date June 2010 The fold and cut theorem states that any shape with straight sides can be cut from a single idealized sheet of paper by folding it flat and making a single straight complete cut. ref http erikdemaine.org foldcut ref Such shapes include polygons, which may be concave, shapes with holes, and collections of such shapes i.e. the regions need not be connected space connected . The corresponding problem which the theorem solves is known as the Fold and Cut Problem , which asks what shapes can be obtained by the so called fold and cut method. A particular instance of the problem, which asks how a particular shape can be obtained by the fold and cut method, is known as a fold and cut problem. History The earliest known description of a fold and cut problem appears in Wakoku Chiyekurabe Mathematical Contests , a book that was published in 1721 by Kan Chu Sen in Japan. A 1873 article in Harper s New Monthly Magazine , describes how Betsy Ross may have proposed that stars on the American flag have five points, because such a shape can easily be obtained by the fold and cut method. In 1955, magician Gerald Loe published Paper Capers , a book describing how to solve various fold and cut problems. Inspired by the Loe, Martin Gardner wrote about the fold and cut problems in a series of articles in Scientific American . There, he was the first put forth the question of what shapes are possible as an open problem . Erik Demaine first proved the fold and cut theorem, thus, solving the Problem. Demaine was featured for his work on paper folding in the Public Broadcasting Service PBS documentary http www.pbs.org independentlens between the folds Between the Folds . Solutions Empty section date December 2010 Straight skeleton Empty section date December 2010 Disk packing Empty section date December 2010 References Reflist DEFAULTSORT Fold And Cut Theorem Category Paper folding Category Theorems in geometry ...   more details



  1. Max-flow min-cut theorem

    In Optimization mathematics optimization theory , the max flow min cut theorem states that in a flow .... The max flow min cut theorem is a special case of the dual problem duality theorem for linear program s and can be used to derive Menger s theorem and the K nig s theorem graph theory K nig Egerv ry Theorem . Definition Let math N V, E math be a network directed graph with math s math and math t math ... flow problem is to maximize f , that is, to route as much flow as possible from s to t . An s t cut C S , T is a partition of V such that s S and t T . The cut set of C is the set u , v E u S , v T . Note that if the edges in the cut set of C are removed, f 0. The capacity of an s t cut is defined by math c S,T sum u,v in S times T c uv math . The minimum cut problem is minimizing math c S,T math , that is, to determine S and T such that the capacity of the S T cut is minimal. Statement The max flow min cut theorem states The maximum value of an s t flow is equal to the minimum capacity ... cut theorem follows from the strong duality strong duality theorem in linear programming , which states ... the capacity of the s t cut is 7, which equals to the value of flow, the max flow min cut theorem .... Application Generalized max flow min cut theorem In addition to edge capacity, consider there is capacity ... definition, the generalized max flow min cut theorem states that the maximum value of an s t flow is equal to the minimum capacity of an s t cut in the new sense. Menger s theorem See also ... respectively. By the max flow min cut theorem, one can solve the problem as a maximum flow problem ... Implications of Max Flow Min Cut Theorem, 4.6. Linear Programming Interpretation of Max Flow Min Cut Theorem year 2001 publisher Dover isbn 0486414531 pages 117 120 cite book author Christos H. Papadimitriou ... The Max Flow, Min Cut Theorem year 1998 publisher Dover isbn 0486402584 pages 120 128 cite book author ... v ta de Max Flow Min Cut Theorem fa fr Th or me flot max coupe min he ...   more details



  1. Elimination

    Wiktionary Elimination may refer to tocright Science and medicine Elimination reaction , an organic reaction in which two functional groups split to form an organic product Elimination, clearance medicine clearance of a drug or other foreign agent from the body Elimination, the destruction of an infectious disease in one region of the world as opposed to its eradication from the entire world Logic and mathematics Elimination theory , the theory of the methods to eliminate variables between polynomial equations. Elimination, the rule of inference known as the disjunctive syllogism Elimination, with steps of elimination over linear equalities, using the Gaussian elimination algorithm Elimination, for systems of linear inequalities, using the Fourier Motzkin elimination algorithm Games and competitions Elimination tournament disambiguation , a knock out style of tournament competition Elimination arcade game Elimination arcade game , 1974 arcade game by Atari Inc. subsidiary Key Games Elimination, a variant of the lifestyle invading game Assassin game Assassin , played with clothes pins Elimination from possibility of reaching postseason in a sports league Music Elimination Deceptikonz album Elimination Deceptikonz album , 2002 Elimination Jughead s Revenge album Elimination Jughead s Revenge album , 1994 Elimination , a 1989 single from Overkill s album The Years of Decay Elimination, a British Heavy Metal band, based in Ipswich Colchester. Accounting Elimination Accounting , the act of recording amounts in a consolidation statement to remove the effects of inter company transactions See also Eliminator disambiguation disambiguation cs Eliminace de Elimination es Eliminaci n fr limination he nl Eliminatie nn Eliminasjon pl Eliminacja ru sk Elimin cia zh ...   more details



  1. Cut

    wiktionary cut Cut may refer to The act of cutting , the separation of an object into two through acutely directed force TOCright Mathematics Cut graph theory Branch cut , a concept in complex analysis Dedekind cut , a partition of rational numbers Cut elimination theorem Computing Cut logic programming cut Unix , a command line utility Cut, copy, and paste , a set of editing procedures Film and television anchor Film Cut transition , a transition from one sequence to another Cut censorship , removal of a scene to meet censors requirements Cut film Cut film , a horror comedy The Cut film The Cut film , 2007 South Korean horror film Cut advertisement Cut advertisement , a 2009 British advertising campaign on domestic violence Music Cut music , an African American music technique Cut C Tec album Cut C Tec album Cut Crack the Sky album Cut Crack the Sky album Cut Golden Earring album Cut Golden Earring album Cut Hunters and Collectors album Cut Hunters and Collectors album Cut The Slits album Cut The Slits album Cut Plumb song Cut Plumb song Cut drum Cut , an album by Flare Acoustic Arts League Cut , a song by The Cure on the album Wish The Cure album Wish Cut , A slang term for track ... cut up in order to make the final music release. Games and sport Cut cards , a method of mixing a deck of cards Cut golf , a means of reducing the number of competitors in a golf tournament or a type of stroke Carleton Ultimate Team Geography Cut, Alba , Romania Cut River Cut, a village in Dumbrava ... Trabajadores del Per Other uses Cut archaeology , a hole dug in the past Cut clothing , the style or shape of a garment Cut earthmoving , an excavation to make way for a transport route Cut etiquette , a snub or slight such as failure to greet an acquaintance Cut gems Cut novel Cut novel , by Patricia McCormick Cut of meat Campaign for Unmetered Telecommunications , a UK political pressure group ... A type of wound CUT is the IATA code for Cutral C Airport , Argentina See also Cuts , a TV series ...   more details



  1. The Cut

    The Cut may refer to TOC right Geography The Cut, London , a street in London The Cut, Berkshire , a river in Berkshire, England Maryland House of Correction or The Cut , Jessup, Maryland, U.S. The Cut or Downshire Bridge, Banbridge , Northern Ireland The Cut theatre , a theatre in Halesworth , Suffolk Media The Cut 1998 U.S. TV series The Cut 1998 U.S. TV series , a talent show hosted by Lisa Lopes The Cut 2005 U.S. TV series The Cut 2005 U.S. TV series , a reality show for fashion designers The Cut Australian TV series The Cut Australian TV series , a 2009 drama series starring John Wood The Cut UK TV series The Cut UK TV series , a British teen drama television series, beginning in September 2009 and concluding in December 2010 The Cut golf magazine The Cut golf magazine , a New Zealand golf magazine The Cut film The Cut film , a 2007 South Korean film The Cut play The Cut play , a play by Mark Ravenhill The Cut novel The Cut novel , a 2011 novel by George Pelecanos The Cut Band The Cut Band a production trio. Other uses Cut logic programming or The cut , a command in Prolog The cut , in Glossary of golf C golf terminology , the elimination from a tournament of the worst scoring golfers See also Cut disambiguation disambig ...   more details



  1. Model elimination

    Model Elimination is the name attached to a pair of proof procedure s invented by Donald W. Loveland, the first of which was published in 1968 in the Journal of the ACM. Their primary purpose is to carry out automated theorem proving , though they can readily be extended to logic programming , including the more general disjunctive logic programming . Model Elimination is closely related to Resolution logic resolution while also bearing characteristics of a Method of analytic tableaux Tableaux method. It is a progenitor of the SLD resolution procedure used in the Prolog logic programming language. While somewhat eclipsed by attention to and progress in Resolution theorem provers, Model Elimination has continued to attract the attention of researchers and software developers. Today there are several theorem provers under active development that are based on the Model Elimination procedure. References Loveland, D. W. 1968 Mechanical theorem proving by model elimination. Journal of the ACM, 15, 236 251. Category Automated theorem proving Category Logical calculi Category Logic in computer science ...   more details



  1. T-CUT

    multiple issues neutrality March 2012 unreferenced March 2012 orphan March 2012 notability March 2012 T Cut , originally known as Tetrosyl Cutting Oil is an automotive paint Colour Restorer and Scratch Remover. T Cut has become an industry best seller from Tetrosyl Group Ltd, a family run business based in Walmersley , Bury , Manchester . T Cut a registered trademark of Tetrosyl Group Ltd was created by Clifford Schofield to fill a gap in the market. Now 40 years on from the launch of T Cut there are several different types of T Cut to meet the ever changing demands from consumers, such as T Cut Metallic, T Cut Metal Polish and T Cut Wax. The T Cut Scratch Remover range recently won a Which? Best Buy in independent tests. T Cut is manufactured at one of the three factories at Tetrosyl Group Ltd where all components of the manufacturing process are carried out, from the blowing of the bottles to designing the labels. T Cut is then sold, distributed and merchandised across the world. References 1 http menmedia.co.uk manchestereveningnews news business s 1468136 down to a t tetrosyl is a shining north west success story 2 http menmedia.co.uk manchestereveningnews news business s 1465696 tetrosyl buys distribution chain for 1m 3 http menmedia.co.uk manchestereveningnews news business innovation s 1461388 its all gogo for tetrosyl groups gadget cleaner 4 http www.theboltonnews.co.uk archive 2011 06 06 Bury News 28bury news 29 9061580.Automotive firm wins top supplier title 5 http www.theboltonnews.co.uk archive 2010 05 27 Business news 28business 29 8188983.Car firm wins two awards Category Automotive chemicals ...   more details



  1. At the Cut

    Infobox album See Wikipedia WikiProject Albums Cover Atthecut.jpg Name At The Cut Type studio Artist Vic Chesnutt Released start date 2009 09 21 Genre Folk rock Length 43 59 Language English language English Label Constellation Records Constellation Recorded December 2008, mixed in April 2009 Last album Dark Developments br 2008 This album At the Cut br 2009 Next album Skitter on Take Off br 2010 Album ratings rev1 Allmusic rev1score Rating 4 5 ref citation url Allmusic class album id r1630771 pure url yes title At The Cut publisher allmusic accessdate 2010 02 22 ref rev2 Spin magazine Spin rev2score Rating 3.5 5 ref citation url http www.spin.com reviews vic chesnutt cut constellation title Vic Chesnutt At The Cut publisher Spin accessdate 2010 02 22 ref Automatically generated by DASHBot At the Cut is a 2009 album by Vic Chesnutt . It was his final album release before his death on December 25, 2009, from an overdose of muscle relaxants . ref citation url http www.rollingstone.com music news singer songwriter vic chesnutt dies at 45 20091226 title Singer Songwriter Vic Chesnutt Dies at 45 publisher Rolling Stone accessdate 2010 02 22 ref The song Flirted with You All My Life alludes to Chesnutt s own attitude toward suicide, including his previous attempts to take his own life. Track listing All songs written by Vic Chesnutt Coward   5 16 When the Bottom Fell Out   3 11 Chinaberry Tree   4 11 Chain   3 00 We Hovered with Short Wings   5 15 Philip Guston   3 28 Concord Country Jubilee   4 33 Flirted With You All My Life   4 42 It Is What It Is   6 59 Granny   3 25 Personnel Musicians Vic Chesnutt   guitar , Singing vocals Thierry Amar   contrabass , Audio engineering engineering Chad Jones  guitar Efrim Menuck   guitar, Keyboard instrument keyboards , vocals, engineering Jessica Moss   violin , vocals Nadia Moss  ... engineering References Reflist Thee Silver Mt. Zion DEFAULTSORT At The Cut Category 2009 albums Category ...   more details



  1. In the Cut

    Infobox Film name In the Cut image In the cut.jpg caption Promotional poster director Jane Campion producer Nicole Kidman br Laurie Parker writer Jane Campion br Susanna Moore based on The novel br by Susanna Moore starring Meg Ryan br Mark Ruffalo br Jennifer Jason Leigh music Hilmar rn Hilmarsson cinematography Dion Beebe editing Alexandre de Franceschi studio Path distributor Screen Gems br Columbia Pictures released Film date 2003 10 22 United States br Film date 2003 10 30 Australia br Film date 2003 10 31 Brazil br Film date 2003 10 31 Spain br Film date 2003 10 31 Indonesia br Film date 2003 10 31 Malaysia & Vietnam & India br Film date 2003 11 5 France br Film date 2003 11 6 Thailand br Film date 2003 11 6 Philippines & Venezuela br Film date 2003 11 6 Singapore br Film date 2004 4 30 South Korea Republic of Korea br Film date 2004 5 8 Japan br Film date 2004 5 20 China runtime 119 minutes country United States br United Kingdom br Australia language English budget 12 million gross 23,726,793 In the Cut is a 2003 Cinema of the United States American erotic thriller and mystery film , written and directed by Jane Campion and starring Meg Ryan , Mark Ruffalo and Jennifer Jason Leigh . Campion s screenplay is an adaption of the novel of the same name by Susanna Moore . It focuses on a college English professor Ryan who becomes entangled with a detective Ruffalo investigating a series of gruesome murders in her Manhattan neighborhood. The film received a limited release .... Ref citeweb url http www.rottentomatoes.com m in the cut work Rotten Tomatoes title In the Cut ... Meg Ryan was hired. Box office In the Cut grossed 1,666,830 at the box office in Australia. ref ... imdb title 0199626 In the Cut amg movie 282775 In the Cut mojo title inthecut In the Cut rotten tomatoes in the cut In the Cut Jane Campion Category 2003 films Category 2000s thriller films Category ... de In the Cut es En carne viva fr In the Cut it In the Cut ja pt In the Cut ...   more details



  1. Elimination theory

    algebra stub In commutative algebra and algebraic geometry , elimination theory is the classical name for algorithmic approaches to eliminating between polynomial s of several variables. The linear case would now routinely be handled by Gaussian elimination , rather than the theoretical solution provided by Cramer s rule . In the same way, computational techniques for elimination can in practice be based on Gr bner basis methods. There is however older literature on types of eliminant , including resultant s to find common root of a function roots of polynomials, discriminant s and so on. In particular the discriminant appears in invariant theory , and is often constructed as the invariant of either a curve or an n ary k ic form. Whilst discriminants are always constructed resultants, the variety of constructions and their meaning tends to vary. A modern and systematic version of theory of the discriminant has been developed by Israel Gelfand Gelfand and coworkers. Some of the systematic methods have a homological algebra homological basis, that can be made explicit, as in Hilbert s syzygy theorem Hilbert s theorem on syzygies . This field is at least as old as B zout s theorem . The historical development of commutative algebra , which was initially called Ideal ring theory ideal theory , is closely linked to concepts in elimination theory ideas of Leopold Kronecker Kronecker , who wrote a major paper on the subject, were adapted by David Hilbert Hilbert and effectively linearised while dropping the explicit constructive content. The process continued over many decades the work of Francis Sowerby Macaulay F.S. Macaulay who gave his name to Cohen Macaulay modules was motivated by elimination. There is also a logical content to elimination theory, as seen in the Boolean satisfiability problem . In the worst case it is presumably hard to eliminate variables computationally. Elimination of quantifiers is a term used in mathematical logic to explain that in some cases algebraic ...   more details



  1. Quantifier elimination

    Quantifier elimination is a concept of simplification used in mathematical logic , model theory , and theoretical computer science . One way of classifying Well formed formula formulas is by the amount of quantifiers quantification . Formulae with less Quantifiers Nesting depth of quantifier alternation are thought of as being simpler, with the quantifier free formulae as the simplest. A logical theory theory has quantifier elimination if for every formula math alpha math , there exists another formula ... . Examples Examples of theories that have been shown decidable using quantifier elimination ... elimination can also be used to show that combining Decidability logic decidable theories leads to new decidable theories. Such constructions include the Feferman Vaught theorem and Term Powers . Algorithms and decidability If a theory has quantifier elimination, then a specific question can be addressed ... we call it a quantifier elimination algorithm . If there is such an algorithm, then Decidability ... elimination algorithms to decide validity of sentences. Related concepts Various model theoretic ideas are related to quantifier elimination, and there are various equivalent conditions. Every theory with quantifier elimination is model complete . A first order theory T has quantifier elimination if and only ... in B and C . Basic ideas To show constructively that a theory has quantifier elimination, it suffices ... x. lnot F. math History In early model theory, quantifier elimination was used to demonstrate that various ... technique was to show first that a theory admits elimination of quantifiers and thereafter prove .... Theories could be decidable yet not admit quantifier elimination. Strictly speaking, the theory of the additive natural numbers did not admit quantifier elimination, but it was an expansion of the additive ... to ensure that it admits quantifier elimination for example, one can introduce a relation symbol ... field DCF . See also elimination theory conjunction elimination mathematical elimination References ...   more details



  1. Disjunction elimination

    Transformation rules For the theorem of propositional calculus propositional logic which expresses Disjunction elimination, see Case analysis . In propositional logic , disjunction elimination ref http www.wordiq.com definition Disjunction elimination ref ref http www.lawrence.edu dept philosophy research ryckmant Disjunction 20Elimination.htm ref ref http www.cs.gsu.edu cscskp Automata proofs node6.html ref sometimes named proof by cases or case analysis , is the validity valid argument form and rule of inference that allows one to eliminate a logical disjunction disjunctive statement from a formal proof logical proof . It is the inference that if a statement math P math implies a statement math Q math and a statement math R math also implies math Q math , then if either math P math or math R math is true, then math Q math has to be true. The reasoning is simple since at least one of the statements P and R is true, and since either of them would be sufficient to entail Q, Q is certainly true. If I m inside, I have my wallet on me. If I m outside, I have my wallet on me. It is true that either I m inside or I m outside. Therefore, I have my wallet on me. It is the rule can be stated as math frac P to Q, R to Q, P or R therefore Q math where the rule is that whenever instances of math P to Q math , and math R to Q math and math P or R math appear on lines of a proof, math Q math can be placed on a subsequent line. Formal notation The disjunction elimination rule may be written in sequent notation math P to Q , R to Q , P or R vdash Q math where math vdash math is a metalogic al symbol meaning that math Q math is a logical consequence syntactic consequence of math P to Q math , and math R to Q math and math P or R math in some logical system and expressed as a truth functional tautology logic tautology or theorem of propositional logic math P to Q and R to Q and P or R to Q ... Disjunct normal form References Reflist DEFAULTSORT Disjunction Elimination Category Rules of inference ...   more details



  1. Biconditional elimination

    Unreferenced date May 2011 Transformation rules Biconditional elimination is the name of two validity valid rule of inference rules of inference of propositional calculus propositional logic . It allows for one to inference infer a Material conditional conditional from a Logical biconditional biconditional . If math P leftrightarrow Q math is true, then one may infer that math P to Q math is true, and also that math Q to P math is true. For example, if it s true that I m breathing if and only if I m alive, then it s true that if I m breathing, I m alive likewise, it s true that if I m alive, I m breathing. The rules can be stated formally as math frac P leftrightarrow Q therefore P to Q math and math frac P leftrightarrow Q therefore Q to P math where the rule is that wherever an instance of math P leftrightarrow Q math appears on a line of a proof, either math P to Q math or math Q to P math can be placed on a subsequent line Formal notation The biconditional elimination rule may be written in sequent notation math P leftrightarrow Q vdash P to Q math and math P leftrightarrow Q vdash Q to P math where math vdash math is a metalogic al symbol meaning that math P to Q math , in the first case, and math Q to P math in the other are logical consequence syntactic consequences of math P leftrightarrow Q math in some formal system logical system or as the statement of a truth functional Tautology logic tautology or theorem of propositional logic math P leftrightarrow Q to P to Q math math P leftrightarrow Q to Q to P math where math P math , and math Q math are propositions expressed in some formal system. References Reflist DEFAULTSORT Biconditional Elimination Category Rules of inference Category Theorems in propositional logic ...   more details



  1. Elimination tournament

    Elimination tournament may refer to any of several types of tournament in which each player has a set number of losses before elimination from the competition. Single elimination tournament , in which a player is eliminated after losing to a single opponent Double elimination tournament , in which a player is eliminated after two losses Triple elimination tournament , a rare format in which a player is eliminated only after three losses See also Swiss system tournament Round robin tournament Disambig zh ...   more details



  1. Progress of Elimination

    Infobox Single Name Progress of Elimination Cover Progress of Elimination.jpg Artist Boss rapper Boss from Album Born Gangstaz B side Livin Loc d Released October 12, 1993 Format Gramophone record Vinyl , Cassette single Cassette , CD single CD Recorded 1993 Genre Hip hop music Hip hop Length 3 12 Label Def Jam Recordings Def Jam Writer Lichelle Laws Producer Def Jef Type singles Chronology Boss rapper Boss Last single Recipe of a Hoe br 1993 This single Progress of Elimination br 1993 Next single Progress of Elimination was the third and final single released from Boss rapper Boss debut album, Born Gangstaz . Unlike the first two singles from the album, Progress of Elimination failed to make it to any Billboard charts. Single track listing A Side Progress of Elimination LP Mix 3 12 Progress of Elimination Still Talkin Remix 3 29 Progress of Elimination Instrumental 3 29 Progress of Elimination Acapella 2 35 Progress of Elimination No Godamn Trak Remix 2 43 B Side Progress of Elimination Niggaz Iz Dyin Remix 3 39 Progress of Elimination Beatin Da Street Remix 3 39 Progress of Elimination Niggaz Iz Dyin Instrumental 3 39 Livin Loc d LP Mix 3 36 Livin Loc d Instrumental 4 09 Category 1993 singles Category Boss songs ...   more details



  1. Grieco elimination

    Image Grieco elimination.png right 400px The Grieco elimination The Grieco elimination is an organic reaction describing the elimination reaction of an aliphatic primary alcohol through a selenide to a terminal alkene Ref Grieco Ref Sharpless . The alcohol first reacts with o nitrophenylselenocyanate and tributylphosphine to a selenide in a nucleophilic substitution on electron deficient selenium . In the second step the selenide is oxidized with hydrogen peroxide to a selenoxide in which elimination takes place with expulsion of a selenol in a fashion similar to that of the Cope elimination . This reaction takes part in the synthesis of ring C of the Danishefsky Taxol total synthesis Synthesis C ring Danishefsky Taxol synthesis . References Note Grieco Organoselenium chemistry. A facile one step synthesis of alkyl aryl selenides from alcohols Paul A. Grieco, Sydney Gilman, Mugio Nishizawa J. Org. Chem. 1976 41 8 1485 1486. DOI 10.1021 jo00870a052 Note Sharpless Olefin synthesis. Rate enhancement of the elimination of alkyl aryl selenoxides by electron withdrawing substituents K. Barry Sharpless and Michael W. Young J. Org. Chem. 1975 947 949. DOI 10.1021 jo00895a030 Category Elimination reactions Category Name reactions DEFAULTSORT Grieco Elimination nl Grieco eliminatie zh Grieco ...   more details



  1. Elimination doctrine

    been accomplished, elimination operations may be transferred, if directed, to other U. S. Government ... elimination operations consist of four principal operational level tasks isolation exploitation destruction and monitoring and redirection. WMD elimination operations may be conducted during any phase of a combatant command s campaign or as an independent operation. That is, the four steps of WMD elimination ... operations. Most non DOD agencies require a secure environment to support WMD elimination ... for WMD elimination should be considered when planning or conducting operations in all WMD MMAs. See also Joint Elimination Coordination Element JECE Joint Task Force for Elimination of WMD JTF E DEFAULTSORT Elimination Category United States Department of Defense doctrine ...   more details



  1. Elimination reaction

    Image EliminationReactionCyclohexene.svg frame right Elimination reaction of cyclohexanol to cyclohexene ... ref An elimination reaction is a type of organic reaction in which two substituent s are removed ... and unimolecular respectively. In most organic elimination reactions, hydrogens are lost to form ... that a molecule undergoes reductive elimination , by which the valence of an atom in the molecule decreases by two. An important class of elimination reactions are those involving alkyl halide s, with good leaving group s, reacting with a Lewis base to form an alkene . Elimination may be considered ... the E2 mechanism. E2 stands for bimolecular elimination. The fundamental elements of the reaction ... bond. C C molecular geometry Pi bond . Specificities E2 is a one step process of elimination ... E2 Elimination Reaction.png center 500px Scheme 1. E2 reaction mechanism An example of this type ... is linked from E1 E1 is a model to explain a particular type of chemical elimination reaction. E1 stands for unimolecular elimination and has the following specificities. It is a two step process of elimination ionization and deprotonation . Ionization the carbon halogen bond breaks to give a carbocation ... Image E1 eliminationNash2008.svg center 500px E1 elimination Nash 2008, antiperiplanar relationship in blue Only reaction product A results from antiperiplanar elimination, the presence of product ... s Image E1 Elimination Reaction.png center 600px Scheme 2. E1 reaction mechanism An example in scheme ..., the E1 pathway can be favored by increasing the heat. E2 and E1 elimination final notes The reaction ... leaving group. There is a certain level of competition between elimination reaction and nucleophilic ... sub 2 and also between E1 and SN1 reaction S sub N sub 1 . Substitution generally predominates and elimination occurs only during precise circumstances. Generally, elimination is favored over substitution ... ion. In accordance with a E2 elimination the reaction with t butyl chloride results in a KIE ...   more details



  1. Chugaev elimination

    The Chugaev elimination is a chemical reaction that involves the elimination of water from alcohol s to produce alkene s. The intermediate is a xanthate . It is named for its discoverer, the Russian chemist Lev Aleksandrovich Chugaev . Image Cugaevalg.png 700px In the first step, a potassium xanthate is formed out of the alkoxide and carbon disulfide CS sub 2 sub . With iodomethane , it is transformed into a xanthate . Image Chugaev2.gif At about 200 C, the alkene is formed by a elimination reaction syn elimination . In a 6 membered cyclic transition state the hydrogen atom is moved from the C atom to the sulfur. The side product decomposes to carbonyl sulfide OCS and methanethiol . Image Chugaev3.gif References cite book last Latscha first Hans P. title Chemie Basiswissen location Berlin year 2002 publisher Springer cite journal title Ueber das Thujene Thujen , ein neues bicyclisches Terpen author Lev Aleksandrovich Chugaev L. Tschugaeff journal Berichte der deutschen chemischen Gesellschaft volume 33 issue 3 pages 3118 3126 year 1900 url doi 10.1002 cber.19000330363 Category Elimination reactions Category Name reactions de Tschugajew Reaktion es Reacci n de Chugaev id Eliminasi Chugaev nl Chugaev reactie ja ru zh ...   more details



  1. Mortgage elimination

    Mortgage elimination is the term commonly used to describe a type of mortgage fraud in the United States . In this scam, the promoter first convinces a mortgage law mortgage holder lender that the debt that has been contracted is invalid or legally unenforceable, usually due to a combination of technicalities in the Security finance note , Trust deed real estate deed of trust , or other loan documentation signed the promoters often link their rationale for debt elimination to illegality of certain lending practices, the Federal Reserve , and the monetary system of the United States in general. Through a series of illegal maneuvers involving the creation of a trust, a demand letter, and a false re conveyance of title, the promoter and the original mortgage holder concert to create the appearance of a title free of liens and encumbrances so that another loan may be taken out on the property. ref http www.southcoasttoday.com apps pbcs.dll article?AID 20070325 NEWS 703250408 ref The United States FBI has put out specific warnings regarding this type of scam. ref http www.fbi.gov page2 dec05 tipstopreventfraud121405.htm ref The Dorean Group is a high profile promoter of this type of scam. ref http www.eastbayexpress.com eastbay dirty deeds Content?oid 1080755 ref ref http www.mortgagefraudblog.com index.php weblog permalink dorean group principals found guilty ref References reflist External links http www.the7thfire.com debt elimination mortgage elimination services.htm The 7th Fire a popular site advocating mortgage elimination Fraud Scams and confidence tricks Category Mortgage Category Finance fraud finance stub ...   more details



  1. Elimination races

    Unreferenced auto yes date December 2009 Elimination races in bicycle racing are a form of race wherein during the course of the race, certain participants are eliminated through various criteria. The most common types of elimination races are the Miss and Out and the Win and Out. Miss and Out The Miss and Out or Devil Take the Hindmost is a race run for individual competitors or, more rarely, for teams of two relaying each other as in the Madison cycling Madison . At the end of every lap or every set number of laps the last rider to cross the line is eliminated from the race. When just a handful of riders remain, they sprint for the finish. Tactically, the real racing in a devil happens at the back of the field. With riders at the front riding steadily and those behind moving up on the elimination laps to find a safe spot, the race favours riders with nerve and track craft. The telescoping of the field means crashes are more common than in other races, especially among inexperienced riders. Win and Out The Win and Out is similar to the Miss and Out, however, rather than the last rider being eliminated the first rider to cross the line is removed from the race. The first rider removed wins first place, the second rider removed wins second place, and so on. Portal Cycling Track cycling DEFAULTSORT Elimination Races Category Track cycling Cycling stub de Ausscheidungsfahren es Carrera de eliminaci n fr Course l limination ...   more details



  1. Elimination Blackjack

    Elimination Blackjack is a tournament format of blackjack invented by Russ Hamilton , and is played on the Ultimate Blackjack Tour and in various Casino casinos . It combines the game of blackjack with elements of No Limit Texas Hold Em . Unlike Texas Hold Em tournaments, players are still competing against the same dealer that is why the results of most players at the table are likely to be the same ref cite web url http www.blackjackinfo.com bjtourn basics.php title Blackjack Tournament Strategy Basics publisher BlackjackInfo.com accessdate 2010 06 17 ref . UltimateBet.com, a sponsor of the Ultimate Blackjack Tour , offers online elimination blackjack tournaments. ref http www.blackjacktactics.com blackjack elimination Blackjack Tactics ref Rules A round of elimination blackjack in most cases is thirty hands in length. Depending upon the organization hosting the event, a player will start with between 10,000 and 100,000 in chips. While certain organizations have their own house rules, elimination blackjack usually follows the following rules The house must hit on soft 17 and anything below, and must stay on hard 17 and anything above. A player may split pairs up to four times with the exception of aces. Some rule sets also allow splitting different cards valued at 10, such as a queen and a jack. A shoe of six decks is used. A player s bet must stay within the minimum and maximum bet allowed at the table this rule is excluded in the World Series of Blackjack . The maximum bet is usually at least several times bigger than the starting chip stack. A player may surrender their hand and thus recover one half of their original bet. A player may buy insurance if the up card for the house ... per table. A player has twenty five seconds in a normal hand to make a decision. In an elimination ... cutoff points are hands 8, 16, and 25 so called elimination hands . A player is always eliminated from the game in an elimination hand, even if a player has been eliminated in the previous hand. Winning ...   more details



  1. The Process of Elimination

    Infobox Album See Wikipedia WikiProject Albums Name The Process of Elimination Type studio Artist Leng Tch e Cover Cover tpoe large.jpg Released June 28, 2005 Recorded CCR studios in Belgium Genre Deathgrind Length 33 28 Label Relapse Records Producer Reviews Last album ManMadePredator br 2003 This album The Process of Elimination br 2005 Next album Amusical Propaganda for Sociological Warfare br 2006 The Process of Elimination is Leng Tch e s third full length album and their first on Relapse Records . A video was made for Derisive Conscience. Track listing The Fist Of The Leng Tch e 01 50 Don t Touch My Spandex 01 22 Overkill Bill 0 51 Another Hit Single 02 07 Bobby Joe s Slumber Party 0 37 Remote Controlled 01 22 http www.razorgrind.com 1 mp3 glamour.mp3 Glamourgirl Concubine 01 31 Ingest Dissent 01 11 Schematic 0 45 Man s Inhumanity To Man 0 39 Motorgrinding 01 27 Fat Camp 01 11 Icon Resizer 01 34 http shop.relapse.com dbmedia video Leng Tche Derisive Conscience.wmv Derisive Conscience 01 22 Patriotic Pleasure 01 11 The Plastic Motive 01 14 Testosterone Collar 01 05 Scene Scenery 02 04 http www.razorgrind.com 1 mp3 clarity.mp3 Clarity Denied 01 37 Mediocrity Contest 01 11 P.I.M.P. 02 04 Reality? TV 01 16 Alliance of Blockheads 0 59 Terminal Excess Patient 02 48 Lineup Boris vocals Sven drums Geert guitar Jan guitar Nicolas bass DEFAULTSORT Process of Elimination Category 2005 albums Category Leng Tch e albums Category Relapse Records albums 2000s death metal album stub it The Process of Elimination ...   more details



  1. Mathematical elimination

    The terms mathematical elimination and mathematically eliminated mean to be excluded in a decision, based on numerical counts, due to insufficient total numbers, even if all remaining events were 100 in favor. The excluded outcome is considered to be eliminated due to the mathematical probability being zero 0 . The term is used in elections when a candidate lacks sufficient votes to win, even if that candidate could garner all remaining votes. In sports, the term mathematically eliminated ref name BBG Blunder Book Gigantic , Goldberg Hirsch, M. H. Goldberg, p. 179, 1988, webpage http books.google.com books?id Zd4oeHzIBRgC &pg RA3 PA179&lpg RA3 PA179 Books Google RgC 179 . ref refers to situations where there are not enough future games or competitive events remaining to be played to avoid defeat, even if all future events were won. History The term mathematically eliminated has been in use for more than 100 years, ref name AJP General Intelligence , Chapter 3, American Journal of Psychology , Volume XV, No. 1, January 1904, p. 226, webpage http books.google.com books?id 1Me3AAAAIAAJ&pg PA226 &lpg PA226 Book Google AAJ . ref although the meaning has varied. In a 1904 article, in the American Journal of Psychology , Volume XV, errors of measurement were described as quantifiable to be mathematically eliminated from the analysis of the remaining data. ref name AJP See also elimination theory conjunction elimination dead code elimination References reflist DEFAULTSORT Mathematical Elimination Category Voting Math stub ...   more details




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