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Law of definite proportions





Encyclopedia results for Law of definite proportions

  1. Law of definite proportions

    In chemistry , the law of definite proportions , sometimes called Proust s Law , states that a chemical compound always contains exactly the same proportion of chemical element elements by mass. An equivalent statement is the law of constant composition , which states that all samples of a given chemical compound have the same elemental composition. For example, oxygen makes up about sup 8 sup sub 9 sub of the mass of any sample of pure water , while hydrogen makes up the remaining sup 1 sup sub 9 sub of the mass. Along with the law of multiple proportions , the law of definite proportions forms ... every known combustible. The law of definite proportions might seem obvious to the modern chemist .... Accessed 2008 05 08. ref The law of definite proportions contributed to, and was placed on a firm ... Law of definite proportions J ns Jacob Berzelius , which revealed in particular that the atomic mass ... in the foundation of modern chemistry, the law of definite proportions is not universally true. There exist ... and their stoichiometry is constant. In this unusual case, they still may violate the law due to isotopic variations. See also Law of multiple proportions References reflist Category Amount of substance ... of this memoir, viz. that iron like many other metals is subject to the law of nature which presides at every true combination, that is to say, that it unites with two constant proportions ..., when the concept of a chemical compound had not yet been fully developed, the law was novel. In fact ... chemical unions, there exist insensible gradations in the proportions of the constituent principles ... applies only to materials with fixed proportions Proust, J. L. 1806 . Sur les mines de cobalt, nickel ... were made of combinations of different types of atoms in fixed proportions. ref Dalton ... es Ley de las proporciones constantes fr Loi des proportions d finies ... definite ja pl Prawo sta o ci sk adu pt Lei de Proust ro Legea propor iilor definite ru ...   more details



  1. Law of multiple proportions

    Unreferenced date September 2011 In chemistry , the law of multiple proportions is one of the basic chemical law laws of stoichiometry , alongside the law of definite proportions . It is sometimes called Dalton s Law after its discoverer, the England English chemist John Dalton . The statement of the law is If two Chemical element element s form more than one chemical compound compound between them, then the ratios of the masses of the second element which combine with a fixed mass of the first element will be ratios of small whole numbers. For example carbon oxide carbon monoxide CO and carbon dioxide CO sub 2 sub , 100  grams of carbon may react with 133  grams of oxygen to produce carbon monoxide , or with 266  grams of oxygen to produce carbon dioxide . The ratio of the masses of oxygen that can react with 100  grams of carbon is 266 133 &asymp 2 1, a ratio of small whole numbers. John Dalton specified that the law did not have to be followed in regards to just two of the same elements forming, following the example given above, this would mean that NO sub 2 sub and NO would follow the law, but these two compounds cannot because of their multiple valence states. The Law of Multiple Proportions, is just what the name suggests, the law of multiple proportions of one constant element within differing compounds sharing the same type of chemical bonding. John Dalton ... Proust had proposed the law of definite proportions , which expressed that the elements combined to form compounds in certain well defined proportions, rather than mixing in just any proportion. Careful study of the actual numerical values of these proportions led Dalton to propose his law of multiple proportions. citation needed date February 2011 This was an important step toward the atomic theory .... The law of multiple proportions is best demonstrated using simple compounds. For example, if one ... Demonstration of the Law of Multiple Proportions.jpg thumb The law of multiple proportions demonstrated ...   more details



  1. Divine Proportions

    Primarysources date October 2010 Thoroughbred racehorse infobox horsename Divine Proportions image Deleted image removed Image DP1.jpg 200px caption Divine Proportions sire Kingmambo grandsire Mr. Prospector dam Myth to Reality damsire Sadler s Wells horse Sadler s Wells sex Mare horse Mare foaled 2002 country United States colour Bay horse Bay breeder Stavros Niarchos Flaxman Holdings Ltd. owner Niarchos family trainer Pascal Bary record 10 9 0 0 earnings 907,630 race Prix du Bois 2004 br Prix Robert Papin 2004 br Prix Morny 2004 br Prix Marcel Boussac 2004 br Prix de la Grotte 2005 br Poule d Essai des Pouliches 2005 br Prix Rothschild Prix d Astart 2005 French Classic Races French Classic Race wins br Prix de Diane 2005 awards Cartier Racing Award European Two Year Old Champion Filly 2004 br Cartier Racing Award European Three Year Old Champion Filly 2005 honours updated June 21, 2007 Divine Proportions born 13 March 2002 in Kentucky is a champion Thoroughbred race horse and winner of two French classics. She was bred by the Niarchos family . Of this horse it was once said Take her to the USA , take her to New Zealand , take her to Japan , and she will beat the lot of them . Nine times out of ten, she did. Citation needed date June 2007 The dam of Divine Proportions is Myth to Reality, a Group 3 winning daughter of Sadler s Wells horse Sadler s Wells . Her sire is Kingmambo , whose dam was the dual Breeders Cup winner Miesque . During her racing career, ridden by Christophe Lemaire and trained by Pascal Bary , Divine Proportions was the winner of no fewer than five Group .... In 2006 Divine Proportions was mated to Champion Sire Giant s Causeway horse Giant s Causeway and produced a bay colt. In 2007, she was mated to A.P. Indy Pedigree name Divine Proportions f Kingmambo ... http www.pedigreequery.com divine proportions Divine Proportions pedigree and racing stats Category ... French Thoroughbred Classic Race winners Category Cartier Award winners fr Divine Proportions ja ...   more details



  1. Body proportions

    to establish the proportions of the human figure. The proportions used in figure drawing are An average ... facial proportions were close to the average of all female profiles. ref name twsZE23 cite news author Fiona Macrae title Skin deep Beautiful faces have Miss Average proportions publisher Daily Mail ... lips . ref name Hart Japanese Ideal Japanese ideals for body proportions differ from Western ideals ... to be 5.7 to 6.5 heads tall. ref name ref Crilley, M. Manga Body Proportions. Youtube. Accessed ... Female Body Proportions Talia from Brody s Ghost . Youtube. Accessed May 2, 2011, from http www.youtube.com ... . Leonardo da Vinci believed that the ideal human proportions were governed by the harmonious proportions ... Golden Ratio References references DEFAULTSORT Body Proportions Category Anatomy Category Artistic ...   more details



  1. Epic Proportions

    Image EpicProportions.JPG right Epic Proportions is a Play theatre play by Larry Coen and David Crane writer producer David Crane . Set in the 1930s, it tells the story of brothers Benny and Phil, who go to the Arizona desert to work as Extra actor extras in the Bible Biblical epic film Exeunt Omnes , directed by the mysteriously reclusive D.W. DeWitt. All 3400 extras are supervised by Louise Goldman, who divides them into groups by asking them to count off by four. While Phil s experience as a Three includes relatively pleasant scenes of meal feast s and parade s, brother Benny is a Four, meaning he is included in all ten Plagues of Egypt plague s. As things progress and everything begins to fall apart, Phil finds himself behind the cameras as the film s director, with Benny in a starring role. The two fall in love with Louise, leading to a brother vs. brother rivalry typical of epic movies. An off Broadway production, directed by Paul Lazarus, opened on December 1, 1986 at the Judith Anderson Theatre. The cast included Louise Roberts as Louise, Michael Heinzman as Benny, Mic Murphy as Phil, and Humbert Alan Astredo as DeWitt Thirteen years later, after 27 previews, the Broadway theatre Broadway production, directed by Jerry Zaks , opened on October 1, 1999 at the Helen Hayes Theatre , where it ran for 93 performances. The cast included Kristin Chenoweth as Louise, Alan Tudyk as Benny, Jeremy Davidson as Phil, and Richard B. Shull as DeWitt. Shull died of a myocardial infarction heart attack thirteen days after opening night. A film adaptation, directed by John Landis , presently is in pre production http movies.about.com od moviesinproduction a showdog080205.htm . External links http www.ibdb.com production.asp?ID 9682 Internet Broadway Database listing http www.talkinbroadway.com world epic.html Talkin Broadway review http theater2.nytimes.com mem theater treview.html ... Epic Proportions Category 1986 plays Category Broadway plays Category Comedy plays Category American ...   more details



  1. Definite description

    A definite description is a denotation denoting phrase in the form of the X where X is a noun phrase or a singular common noun . The definite description is proper if X applies to a unique individual or object ... of America , are proper. The definite descriptions the person in space and the Senator from Ohio are improper because the noun phrase X applies to more than one thing, and the definite descriptions .... Improper descriptions raise some difficult questions about the law of excluded middle , denotation ... to be bald than among the things that are bald. We therefore seem to have a violation of the Law ... his theory of descriptions . A definite description like the present King of France , he suggested ... of the Law of Excluded Middle the present King of France is bald i.e. x PKoF x & y PKoF y y x & B ... , most etc. The definite description the has the following denotation using lambda calculus lambda notation f. g. x f x 1 & y f y 1 y x & g x 1 . That is, the definite article the denotes a function ... & y PKoF y y x & B x . On this view, definite descriptions like the present King of France do have a denotation specifically, definite descriptions denote a function from properties to truth values they are in that sense ... The Fregean analysis of definite descriptions, implicit in the work of Frege and later defended ... analysis, definite descriptions are construed as referring expression referring expressions ... of a sentence containing a definite description, rather than part of the content asserted ... is bald. If the presupposition fails, the definite description empty name fails to refer , and the sentence ... of truth value gaps and failures of the Law of Excluded Middle that the Russellian analysis ... on to a restricted version of the Law of Excluded Middle for any sentence whose presuppositions are met ... view, the definite article the has the following denotation using lambda calculus lambda notation f ... in the fact that the definite article denotes a partial function on the set of properties it is only ...   more details



  1. Definite Article

    About the comedy album by Eddie Izzard the grammatical term article grammar Infobox Album See Wikipedia WikiProject Albums Name Definite Article Type video Artist Eddie Izzard Cover Cover size Released 21 October 1996 Recorded Shaftesbury Theatre , London , United Kingdom Genre Stand up comedy Length 109 minutes Label Vision Video Director Ed Bye Producer Reviews Chronology Last album Unrepeatable br 1994 small This album Definite Article br 1996 small Next album Glorious Eddie Izzard Glorious br 1997 small Misc Definite Article is the title of British comedian Eddie Izzard s 1996 performance released on VHS . It was recorded on different nights at the Shaftesbury Theatre . Both recordings cover topics such as The Italian Job , Ivan Pavlov Pavlov s dogs and European languages . Trivia At the beginning of the show, Eddie arrives on stage through a huge book which opens to reveal him sitting at the top of a staircase. The backdrop then closes and from then on the background changes at various intervals with words from selected literature projected onto the pages of the huge book. The chosen selections are A Marriage Proposal a.k.a. A Marriage Proposal The Proposal Anton Chekhov Jabberwocky Lewis Carroll Macbeth Shakespeare Mayor of Casterbridge Thomas Hardy Edward II play Edward II Christopher Marlowe As revealed in the commentary track, on each of these projections, every definite article has been replaced by the words definite article. External links http www.eddieizzard.com standup definitearticle.izz Definite Article article at The Official Eddie Izzard Site imdb title id 0116066 title Eddie Izzard Definite Article http www.auntiemomo.com cakeordeath The Cake or Death Site Category Eddie Izzard albums Category Stand up comedy concert films Category 1996 video albums Category 1996 live albums Category Live video albums comedy album stub sv Definite Article ...   more details



  1. Definite Door

    Unreferenced date July 2010 Infobox single Name Definite Door Cover Definite door.jpg Artist The Posies from Album Frosting on the Beater Released 1994 Format CD Single br 7 Single Recorded 1993 Genre Alternative rock br Power Pop br indie rock Length 4 12 Label DGC Records Writer Ken Stringfellow and Jon Auer Producer Don Fleming Last single This single Definite Door br 1993 Next single Definite Door is a song by the American alternative rock band The Posies , released as the final single released from its album Frosting on the Beater in 1994. Track listing Definite Door Song of the Baker Ooh Child I Am the Cosmos Chris Bell musician Chris Bell Comments This single was supported by an appearance on The Word , a late night television programme in the UK ref http www.dailymotion.com video xbgeka word s4e16pt1 the posies definite d shortfilms WORD S4E16.PT1. video ref . It was the only Posies release to make the UK Singles Chart , entering at number 67 for one week. ref name British Hit Singles & Albums cite book first David last Roberts year 2006 title British Hit Singles & Albums edition 19th publisher Guinness World Records Limited location London isbn 1 904994 10 5 page 432 ref References Reflist The posies Category 1994 singles ...   more details



  1. No Definite Answer

    Infobox Album See Wikipedia WikiProject Albums Name No Definite Answer Type studio Artist Sam Beeton Cover Released 9th March 2009 small UK small Recorded 2007 2008 Genre Pop music Pop Length Label Sony BMG Producer Reviews Last album This album No Definite Answer br 2008 Next album Misc Singles Name No Definite Answer Type studio single 1 What You Look For single 1 date 9 September 2008 single 2 single 2 date single 3 single 3 date No Definite Answer is the major label debut album from United Kingdom British singer songwriter , Sam Beeton . The album was released on iTunes on 26 September 2008 ref http itunes.apple.com gb album no definite answer id290303771 ref and was due to be released on CD on 29 September 2008, but was pushed back to January 2009. It was scheduled for release on 9 March 2009. It spawned Beeton s debut single, What You Look For , which charted at 41 on the UK Singles Chart in its first week. Track listing What You Look For Under the Fence Time Takes Its Toll Finally Gone Best Friend This Lullaby Sweet Luigi This Is Where We Are Trouble and Strife Cathy Lee Mocha Mocha Leaving It Till Last Angels Gather Here Blue Rose References Reflist External links http www.myspace.com sambeeton Sam Beeton s official myspace Category 2009 albums Category Sam Beeton albums 2000s pop album stub ...   more details



  1. Motion for more definite statement

    Orphan date May 2008 A motion for more definite statement in many jurisdiction s in the United States , and under United States federal law, is a means of obtaining a more detailed motion from the opposing party in a civil case before interposing a responsive plea ding. In federal jurisprudence, the motion is permitted by Rule 12 e of The Federal Rules of Civil Procedure . The presiding judge will respond either by granting the motion or striking it from the record if it is found to be without legal merit . The motion must contain a point by point rebuttal, with each point numbered, and ideally should reference some case law in support of the motion. In the Commonwealth of Virginia , a motion seeking such relief is called a motion for a bill of particulars. References reflist uscode26a http www.law.cornell.edu uscode html uscode26a usc sec 26a 00000051 000 .html Category United States law Category Civil procedure US law stub ...   more details



  1. Definite quadratic form

    unreferenced date December 2008 In mathematics , a definite quadratic form is a real valued quadratic form over some vector space math V math that has the same positive and negative numbers sign always positive or always negative for every nonzero vector of math V math . The definite quadratic forms correspond in one to one way to the symmetric definite bilinear form s over the same space. A semidefinite or semi definite quadratic form is defined in the same way, except that positive and negative are replaced by not negative and not positive , respectively. The semidefinite quadratic forms correspond to the symmetric semidefinite bilinear forms. Category Quadratic forms algebra stub ...   more details



  1. Evig Poesi, Conurbia, Definite

    ref improve date September 2011 Evig Poesi, Conurbia, Definite is a collaborative trio consisting of Norwegian hip hop artists Evig Poesi , Conurbia and Definite. In 2011 they released their debut, the eight track long Verdens ende with Bonsaiety Records . ref http www.kingsize.no News.aspx?ArtNo 21631 ref Verdens ende featured production by Smart 9000 and Andr Jensen from Evig Poesi , Definite, Aaonli & Ionious from Conurbia and HandyCat. ref http bonsaiety.com joomla index.php?option com content&view article&id 161 3Adefinite conurbia a evig poesi verdens ende&catid 37 3Amusic&Itemid 28 ref References references Category Norwegian hip hop groups ...   more details



  1. Definite bilinear form

    In mathematics , a definite bilinear form is a bilinear form B over some vector space V with real number real or complex number complex scalar mathematics scalar field mathematics field such that the associated quadratic form math Q x B x, x , math is definite quadratic form definite , that is, has a real number real value with the same sign mathematics sign positive or negative for all non zero x . According to that sign, B is called positive definite or negative definite . If Q takes both positive and negative values, the bilinear form B is called indefinite . If B x , x 0 for all x , B is said to be positive semidefinite . Negative semidefinite bilinear forms are defined similarly. Example As an example, let V R sup 2 sup , and consider the bilinear form math B x, y c 1x 1y 1 c 2x 2y 2 , math where math x x 1, x 2 math , math y y 1, y 2 math , and math c 1 math and math c 2 math are constants. If math c 1 0 math and math c 2 0 math , the bilinear form math B math is positive definite. If one of the constants is positive and the other is zero, then math B math is positive semidefinite. If math c 1 0 math and math c 2 0 math , then math B math is indefinite. Properties When the scalar field of V is the complex numbers, the function Q defined by math Q x B x, x math is real valued only if B is Hermitian form Hermitian , that is, if B x ,  y is always the complex conjugate of B y ,  x . A self adjoint operator A on an inner product space is positive definite if x , Ax 0 for every nonzero vector x . See also Positive definite function Positive definite matrix References Nathanael Leedom Ackerman 2006 http math.berkeley.edu nate teaching UPenn 2006 fall math 371 lectures week 3 lecture 4 lecture 4.pdf Lecture notes Math 371 , Positive definite bilinear form is definition 0.5.0.7, weblink from University of California, Berkeley . DEFAULTSORT Definite Bilinear Form Category Linear algebra ca Positiu definit de Definitheit es Positivo definido eo Difinita dulineara ...   more details



  1. File:Definite door.jpg

    Summary album cover fur REQUIRED Article Definite Door Use Infobox HIGHLY RECOMMENDED Source ADDITIONAL INFORMATION Name Definite Door Artist The Posies Label DGC Records Graphic Artist Item Type Website Owner Commentary OVERRIDE FIELDS Description Portion Low resolution Purpose Replaceability other information Licensing Non free album cover ...   more details



  1. Positive-definite function

    In mathematics , the term positive definite function may refer to a couple of different concepts. In dynamical systems A real number real valued, continuously differentiable function mathematics function f is positive definite on a neighborhood of the origin, D , if math f 0 0 math and math f x 0 math for every non zero math x in D math . ref cite book last Verhulst first Ferdinand title Nonlinear Differential Equations and Dynamical Systems edition 2nd ed. publisher Springer year 1996 isbn 3 540 60934 2 ref ref cite book last Hahn first Wolfgang title Stability of Motion publisher Springer year 1967 ref A function is negative definite if the inequality is reversed. A function is semidefinite if the strong inequality is replaced with a weak math geq , math or math leq , math one. In analysis A positive definite function of a real variable x is a complex number complex valued function f R ... matrix math A a i,j i,j 1 n , quad a ij f x i x j math is positive definite matrix positive semi definite in particular, A should be Hermitian , therefore f x is the complex conjugate of f x . In particular ... definite it is sufficient for f to be the Fourier transform of a function g on the real ... definite function on the real line is the Fourier transform of a positive Measure mathematics measure ... to ensure that the resulting covariance matrix an n by n matrix is always positive definite. One ... matrix this must be positive definite. Bochner s theorem states that if the correlation between two ... definite to ensure the covariance matrix A is positive definite. See Kriging . In this context ... function of a symmetric probability density function PDF . Generalisation main Positive definite function on a group One can define positive definite functions on any locally compact abelian topological group Bochner s theorem extends to this context. Positive definite functions on groups occur ..., Springer Verlag. Z. Sasv ri, Positive Definite and Definitizable Functions , Akademie Verlag, 1994 ...   more details



  1. Positive-definite matrix

    In linear algebra , a positive definite matrix is a matrix that in many ways is analogous to a Positive number positive real number . The notion is closely related to a Definite bilinear form positive definite symmetric bilinear form or a sesquilinear form in the complex case . The proper definition of positive definite is unambiguous for Hermitian matrices Hermitian matrices, but there is no agreement ... mathematics matrix M is positive definite if z sup T sup Mz   0 for all non zero vectors z ... n × n complex matrix M is positive definite if z sup sup Mz 0 for all non zero complex ... number c . An nowrap n × n complex Hermitian matrix M is positive definite if z sup sup Mz ... matrix. Examples The matrix math M 0 begin bmatrix 1 & 0 0 & 1 end bmatrix math is positive definite ... positive , but is positive definite, is given by math M 1 begin bmatrix 2& 1&0 1&2& 1 0& 1&2 end bmatrix . math It is positive definite since for any non zero vector math x begin bmatrix x 1 x 2 x 3 ... math , so math M 1 math is indeed positive definite. Conversely, the strictly positive matrix math M 2 begin bmatrix 1 & 2 2 & 1 end bmatrix math is not positive definite, showing together with the previous ... positive definite matrices appear as Covariance matrix covariance matrices . In fact, every positive definite matrix is the covariance matrix of some multivariate probability distribution ... to M being positive definite cellspacing 0 cellpadding 2 valign top 1. All eigenvalue s sub ... definite if and only if the diagonal elements of D the eigenvalues are all positive. In other ... from a Hermitian positive definite matrix. In particular, positive definiteness for a Hermitian ... x math has a unique global minimum , and this is why positive definite matrices are so common in Optimization ... definite if B x , x 0 for every nonzero x in V . Simultaneous diagonalization Two symmetric, positive definite matrices can be simultaneously diagonalized, although not necessarily via a similarity transformation ...   more details



  1. Definite Physical Change

    Notability 1 Music date August 2010 Definite Physical Change or DPC are a punk rock , britpop , hip hop band from Birmingham , UK , formed originally as The Dave Mili Band by guitarist Adrian Morris formerly of Bigger Than Rod , Drummer Dave Fell, Keyboardist Lucy Hudson, Singer James Harrison and Rapper Andy MFT Tsintas. The original line up was huge including Clive Wright, Georgie Weaver and Katie Harris. DPC went through a change in line up, losing Wright, Weaver and Harris. With the addition of ex Bigger Than Rod bassist Gary Lockey they went through several name changes including Rock Sham and The Sons of Blunkett before finally settling on Definite Physical Change, based on the incredible weight gain experienced by MFT, Harrison and Morris while in South Africa. DPC recorded their eponymous ep in 2006 containing 5 songs Love Songs, Always You, Who s Kissing Her?, OAP Old Aged Prisoner and Steel. They are known for performing reworked cover versions on stage, most notably Feel Good Inc. by Gorillaz and Take Me Out song Take Me Out by Franz Ferdinand band Franz Ferdinand . Band members Main Definite Physical Change band members Current 2004 present James Harrison   lead vocals 2004 present Andy MFT Tsintas   vocals 2004 present Gary Lockey   bass guitar 2004 present Dave Fell   drumkit drums and percussion 2004 present Lucy Hudson   Keyboard instrument keyboards and saxophone 2004 present Adrian Morris   guitar Past 2003 2004 Katie Harris   vocals 2003 2004 Georgie Weaver   vocals 2003 2004 Clive Wright   guitar Discography Main Definite Physical Change discography DPC ep 2006 External links http www.myspace.com definitephysicalchange Definite Physical Change onMyspace Category English punk rock groups ...   more details



  1. Positive-definite function on a group

    In operator theory , a positive definite function on a group relates the notions of positivity, in the context of Hilbert space s, and algebraic group mathematics group s. It can be viewed as a particular type of positive definite kernel where the underlying set has the additional group structure. Definition Let G be a group, H be a complex Hilbert space, and L H be the bounded operators on H . A positive definite function on G is a function nowrap F G L H that satisfies math sum s,t in G langle F s 1 t h t , h s rangle geq 0 , math for every function h G H with finite support h takes non zero values for only finitely many s . In other words, a function F G L H is said to be a positive function if the kernel K G × G L H defined by K s , t F s sup 1 sup t is a positive definite kernel. Unitary representations An unitary representation is an unital homomorphism G L H where s is an unitary operator for all s . For such , s sup &minus 1 sup s . Positive functions on G is intimately related to unitary representations of G . Every unitary representation of G gives rise to a family of positive definite functions. Conversely, given a positive definite function, one can define a unitary representation of G in a natural way. Let G L H be a unitary representation of G . If P     L H is the projection onto a closed subspace H of H . Then F s     P s is a positive definite function on G with values in L H . This can be shown readily math begin align sum s,t in G langle F s 1 t h t , h s rangle & sum s,t in G langle P Phi s 1 t h t , h s rangle & sum s,t in G langle Phi t h t , Phi s h s rangle & left langle sum t in G Phi t h t , sum s in G Phi s h s right ... definite function F on G . An unitary representation of G can be obtained as follows. Let C sub 00 ... to a parametrization of arbitrary positive definite kernels. References Christian Berg, Christensen ..., Harmonic Analysis of Operators on Hilbert Space, North Holland, 1970. Z. Sasv ri, Positive Definite ...   more details



  1. Definite clause grammar

    A definite clause grammar DCG is a way of expressing grammar, either for Natural language natural or Formal language formal languages, in a logic programming language such as Prolog . DCGs are usually associated with Prolog, but similar languages such as Mercury programming language Mercury also include DCGs. They are called definite clause grammars because they represent a grammar as a set of definite ... and other similar languages not all ways of expressing grammars using definite clauses are considered ... with definite clauses in essentially the same way as in Prolog. The definite clauses ... Pereira and David Warren, two other early architects of Prolog, coined the term definite clause ... grammars. They introduced the idea in an article called Definite Clause Grammars for Language Analysis ... journal last Pereira first F. coauthors D. Warren title Definite clause grammars for language analysis ... was made by researchers at NEC Corporation called Multi Modal Definite Clause Grammars MM DCGs ... Y. Takashima title Multimodal definite clause grammar journal Systems and Computers in Japan date 1995 ref . Another extension, called definite clause translation grammars DCTGs was described by in 1984 ref Cite journal last Abramson first H. title Definite clause translation grammars date 1984 ... ref Cite web last Sperberg McQueen first C. M. title A brief introduction to definite clause grammars and definite clause translation grammars accessdate 2009 04 21 url http www.w3.org People cmsmcq 2004 ... sentence the,bat,eats,the,bat , code . Translation into definite clauses DCG notation is just syntactic sugar for normal definite clauses in Prolog. For example, the previous example could be translated ... is just code S1,S3 code . ref Cite web last Fleck first Arthur title Definite Clause Grammar Translation ... Notes reflist External links wikibooks Prolog Definite Clause Grammars http cs.union.edu striegnk ... DCG.html Definite Clause Grammars Not Just for Parsing Anymore Category Formal languages pt Gram tica ...   more details



  1. Definite assignment analysis

    In computer science , definite assignment analysis is a data flow analysis used by compiler s to conservatively ensure that a variable or location is always assigned to before it is used. Motivation In C programming language C and C programs, a source of particularly difficult to diagnose errors is the nondeterministic behavior that results from reading uninitialized variables this behavior can vary between platforms, builds, and even from run to run. There are two common ways to solve this problem. One is to ensure that all locations are written before they are read. Rice s theorem establishes that this problem cannot be solved in general for all programs however, it is possible to create a conservative imprecise analysis that will accept only programs that satisfy this constraint, while rejecting some correct programs, and definite assignment analysis is such an analysis. The Java programming language Java ref cite web author J. Gosling, B. Joy, G. Steele, G. Bracha title The Java Language Specification, 3rd Edition url http java.sun.com docs books jls third edition html defAssign.html ... jot.2004.3.9.a2 last Fruja first Nicu G. year 2004 month October title The Correctness of the Definite ... a definite assignment analysis, but only on variables with pointer types, to ease porting of C programs. ref cite web title Cyclone Definite Assignment work Cyclone User s Manual url http cyclone.thelanguage.org wiki Definite 20Assignment accessdate December 16, 2008 ref The second way to solve ..., definite assignment analysis enables a compiler optimization where redundant assignments ... definite assignment may contain redundant initialization. The Common Language Infrastructure ... of the C intraprocedural single method definite assignment analysis, which is responsible for ensuring ... definite assignment analysis and constant propagation of boolean values. We define five static functions ... after a control flow jump. References references DEFAULTSORT Definite Assignment Analysis Category ...   more details



  1. Definite article reduction

    Definite Article Reduction DAR is the term used in recent linguistic work to refer to the use of vowel less forms of the Article grammar definite article the in Northern dialects of English English , for example in the Yorkshire dialect and accent . DAR is often represented by dialect spelling t or th . History DAR has been recorded in textual form since 1673, and the orthographic representations t and th occur in literature such as in Emily Bront s Wuthering Heights and are frequently encountered in the media. There is even a beer called T owd Tup The Old Ram . The historical origin is unclear. Links with Middle English te forms of the article remain unproved. A similar usage of an article without a vowel t can also be found in the West Frisian language Frisian language of the north Netherlands coast, the modern language thought to be most similar to the original language of the invading Anglo Saxons . The family name Haus in t Feld exists in Frisian, meaning house in the field . Claims that this is phonetically similar to DAR remain to be verified experimentally. In Cumbria , a voiceless alveolar plosive the English t sound does occur, which may have some superficial similarities to realisations in Frisian and Low German , but the glottal and glottalised DAR variants found elsewhere in the DAR area and across Yorkshire present a very different realisation. Jones 2002 342 comments that no contact explanation with other varieties of Germanic is required or could be supported ... of the definite article in otherwise identical sentences compare seat sacks and see t sacks . Speakers ... links http www.yorksj.ac.uk dialect darhp.htm Definite Article Reduction on Yorkshire Dialect ..., Mark J. 2002 . The origin of Definite Article Reduction in northern English dialects evidence ... in 2005. A grammatical investigation of Definite Article Reduction. To appear in English World Wide. Jones, Mark J. 2007 . Glottals and grammar definite article reduction and morpheme boundaries ...   more details



  1. Positive-definite kernel

    Context date November 2011 In operator theory , a branch of mathematics , a positive definite kernel is a generalization of a positive semidefinite matrix positive definite matrix . Definition Let math H n n in mathbb Z math be a sequence of complex Hilbert space s and math mathcal L H i, H j math be the bounded operators from H sub i sub to H sub j sub . A map A on math mathbb Z times mathbb Z math where math A i,j in mathcal L H i, H j math is called a positive definite kernel if for all m 0 and math h i in H i math , the following positivity condition holds math sum m leq i quad , atop j leq m langle A i,j h i, h j rangle geq 0. math Examples Positive definite kernels provide a framework that encompasses some basic Hilbert space constructions. Reproducing kernel Hilbert space Further Reproducing kernel Hilbert space The definition and characterization of positive kernels extend verbatim to the case where the integers Z is replaced by an arbitrary set X . One can then give a fairly general procedure for constructing Hilbert spaces that is itself of some interest. Consider the set F sub 0 sub X of complex valued functions f X C with finite support. With the natural operations, F sub 0 sub X is called the free vector space generated by X . Let sub x sub be the element in F sub 0 sub X defined by sub x sub y Kronecker delta sub xy sub . The set sub x sub sub x X sub is a vector space basis of F sub 0 sub X . Suppose now K X × X C is a positive definite kernel, then the Kolmogorov decomposition of K gives a Hilbert space math mathcal H , langle cdot, cdot rangle math ... as a Gramian matrix . A similar description can be obtained for general positive definite kernels, with an analogous argument. This is called the Kolmogorov decomposition Let A be a positive definite ... theorem Expand section date June 2008 See also Positive definite function on a group References ... on Hilbert Space, North Holland, 1970. DEFAULTSORT Positive Definite Kernel Category Operator theory ...   more details



  1. Operation Definite Victory

    Infobox Military Conflict conflict Operation Niyathai Jaya partof Sri Lankan Civil War image Deleted image removed Image STF on mission.JPG 300px caption STF commandos on Operation Niyathai Jaya deletable image caption date January 4, 2007 July 11, 2007 place Ampara District , Sri Lanka casus Child soldiers Child abductions by the LTTE result Retreat of the LTTE from Kanchikudichcharu, fall of 20 bases to the STF ref name MCNSpb1 cite news url http www.nationalsecurity.lk fullnews.php?id 3547 title MCNS PRESS BRIEFING work publisher Media Center for National Security date 17 January 2007 ref ref name mod1 cite news url http www.defence.lk new.asp?fname 20070130 01 title Two more LTTE camps fall to STF Kangikadaichi Aru work publisher Ministry of Defence date 31 January 2007 ref ref name MCNS2 cite news url http www.nationalsecurity.lk fullnews.php?id 3869 title STF Niyathai Jaya Glory Continues Jeewananda Base Captured work publisher Media Center for National Security date 1 February 2007 ref combatant1 SRI Special Task Force combatant2 Commented out Image Ltte emblem.jpg 30px Liberation Tigers of Tamil Eelam commander1 DIG Nimal Lewke commander2 Unknown strength1 strength2 casualties1 None casualties2 4 killed Campaignbox Sri Lankan Civil War Operation Definite Victory Sinhala language Sinhala Unicode was a military operation launched by Sri Lanka n Special Task Force commandos on January 4, 2007 to evict LTTE rebels from the Kanchikudichcharu and Thoppigala regions of the Ampara District of Sri Lanka. The army had accused the LTTE of carrying out the Military use of children in Sri Lanka child abductions in Bakmitiyawa and Ampara , including the abduction of two teachers and 23 Tamil children in December by LTTE cadres when they were returning from extra classes to their homes. ref name MCNSpb1 ref cite news url http www.zeenews.com znnew articles.asp?aid 347548&sid SAS title Commandos take eight Tiger bases in Sri Lanka work publisher Zee News date 13 Ja ...   more details



  1. Big Fish: A Novel of Mythic Proportions

    Infobox Book See Wikipedia WikiProject Novels or Wikipedia WikiProject Books name Big Fish A Novel of Mythic Proportions title orig translator image Image Bigfishnovel.jpg 200px image caption First edition cover author Daniel Wallace author Daniel Wallace illustrator cover artist country United States language English language English series genre prose publisher Algonquin Books release date October 1, 1998 english release date media type Print Hardcover and Paperback pages 180 pp isbn 1565122178 dewey 813 .54 21 congress PS3573.A4256348 B5 1998 oclc 39269578 preceded by followed by Big Fish A Novel of Mythic Proportions is a 1998 novel by Daniel Wallace author Daniel Wallace . It was adapted into a film, Big Fish , in 2003 by Tim Burton . Plot summary A young man William Bloom at his father s Edward Bloom deathbed tries to reconcile his memories of his dad with who he really is. Whereas he always saw his father as an irresponsible liar, he comes to understand his dad s exaggerations and their roots in reality. The book is written in a chronological although they may not appear so at first series of tall tales. Despite the novel s first person narration, there is no present tense part of the book. The various stories are a retelling of tales that Ed has told about his life. The My Father s Death Take chapters are William planning out his final conversation with his father in his head and how it will go, so that when the actual conversation takes place, he will be able to get to the truth. The book draws elements from the epic poem The Odyssey , James Joyce s Ulysses novel Ulysses , and American tall tales. The story of Edward Bloom also includes at least seven of the Labors of Hercules Twelve Labors of Hercules . Fact date February 2007 The subtitle A Novel of Mythic Proportions may be a reference to the dimensions of the Penguin edition, which make a Golden ratio . Conversely, the dimensions of the Penguin edition may derive from the subtitle. The Golden ratio dime ...   more details



  1. The Law

    The Law may refer to tocright Music The Law band , an English rock group The Law The Law album The Law The Law album The Law Scotland band , an indie rock band from Scotland The Law Exhorder album The Law Exhorder album The Law , a song by Leonard Cohen on the album Various Positions Film The Law 1974 film The Law 1974 film The Law 1959 film The Law 1959 film , with Gina Lollobrigida original title La Legge The Law 1990 film The Law 1990 film , also known as Tila Books The Law 1850 book The Law 1850 book , by Fr d ric Bastiat The Law 1957 novel The Law 1957 novel , by Roger Vailland original title La Loi Other uses The Law, a peak of the Ochil Hills Torah in Jewish culture is also known as The Law. The Law , nickname of Dan Law Field , home of the Texas Tech Red Raiders baseball team Law or The Law, one of a list of slang terms for police officers disambiguation ...   more details




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