Correspondenceanalysis CA is a multivariate statistics statistical technique proposed ref Dodge, Y. 2003 The Oxford Dictionary of Statistical Terms , OUP ISBN 0 19 850994 4 ref by Hirschfeld ref Hirschfeld, H.O. 1935 A connection between correlation and contingency , Proc. Cambridge Philosophical Society , 31, 520&ndash 524 ref and later developed by Jean Paul Benz cri . ref cite book author Benz cri ... and Applications of CorrespondenceAnalysis isbn 0 12 299050 1 ref ref cite book author Greenacre, Michael publisher Chapman & Hall CRC location London year 2007 title CorrespondenceAnalysis in Practice, Second Edition ref Several variants of CA are available, including detrended correspondenceanalysis and canonicalcorrespondenceanalysis . The extension of correspondenceanalysis to many categorical variables is called multiple correspondenceanalysis . An adaptation of correspondenceanalysis ... analysis for qualitative data is called discriminant correspondenceanalysis or barycentric discriminant analysis. In the social sciences, correspondenceanalysis, and particularly its extension multiple correspondenceanalysis , was made known outside France through French sociologist Pierre ... ca code ref Nenadic, O. and Greenacre, M. 2007 http www.jstatsoft.org v20 i03 Correspondenceanalysis ... 3 ref , code vegan, code , and code http factominer.free.fr FactoMineR code implement correspondenceanalysis and multiple correspondenceanalysis. Here is a link to a MATLAB program with a tutorial for correspondenceanalysis http www.utdallas.edu herve abdi CorrespondenceAnalysisMatlabProgram.zip ... , BBVA Foundation, Madrid, Spanish translation of CorrespondenceAnalysis in Practice , available ... Analyse des Correspondances ref It is conceptually similar to principal component analysis , but applies to categorical rather than continuous data. In a similar manner to principal component analysis ... Category Multivariate statistics Category Data analysis ca An lisi de correspond ncies de ... more details
In statistics , canonicalanalysis from Gk. bar, measuring rod , ruler belongs to the family of regression methods for data analysis. Regression analysis quantifies a relationship between a predictor ... sub 1 sub , sub 2 sub , etc. Canonical variate analysis captures a relationship between a set of predictor variables and a set of criterion variables by the canonical correlation s sub 1 sub , sub 2 sub , ..., and by the sets of canonical weights C and D. CanonicalanalysisCanonicalanalysis ... and more meaningful structure increases the interpretability of the canonical weights C and D. In this the canonicalanalysis differs from Harold Hotelling s 1936 canonical variate analysis also called the canonical correlation analysis , designed to obtain maximum canonical correlations between the predictor and criterion canonical variates. The difference between the canonical variate analysis and canonicalanalysis is analogous to the difference between the principal components analysis and factor analysis , each with its characteristic set of commonalities, eigenvalues and eigenvectors . Canonicalanalysis simple Canonicalanalysis is a multivariate technique which is concerned with determining ... . Biometrika, 28, 321 377 Krus, D.J., et al. 1976 Rotation in canonicalanalysis . Educational and Psychological ... in canonicalanalysis . Multivariate Behavioral Research , 30, 539 545. http www.visualstatistics.net ... r , and the standard regression coefficient . Multiple regression analysis expresses a relationship ... groups, let s call these groups X and Y, based on some common characteristics. The purpose of Canonicalanalysis is then to find the relationship between X and Y, i.e. can some form of X represent .... This combination is known as the first canonical variates which are usually denoted U sub 1 sub and V sub 1 sub , with the pair of U sub 1 sub and V sub 1 sub being called a canonical function . The next canonical functions, U sub 2 sub and V sub 2 sub are then restricted so that they are uncorrelated ... more details
refimprove date July 2011 Regularized canonical correlation analysis is a way of using ridge regression to solve the singularity problem in the cross covariance matrix cross covariance matrices of canonical correlation analysis . By converting math operatorname cov X, X math and math operatorname cov Y, Y math into math operatorname cov X, X lambda I X math and math operatorname cov Y, Y lambda I Y math , it ensures that the above matrices will have reliable inverses. The idea probably dates back to Hrishikesh D. Vinod s publication in 1976 where he called it Canonical ridge . ref Cite journal author Hrishikesh D. Vinod title Canonical ridge and econometrics of joint production journal Journal of Econometrics volume 4 issue 2 month May pages 147 166 doi 10.1016 0304 4076 76 90010 5 ref ref Cite book author Kanti Mardia et al. title Multivariate Analysis ref It has been suggested for use in the analysis of functional neuroimaging data as such data are often singular. ref Cite journal author Finn rup Nielsen, Lars Kai Hansen, Stephen C. Strother title Canonical ridge analysis with ridge parameter optimization year 1998 journal NeuroImage volume 7 pages S758 month May url http www2.imm.dtu.dk pubdb views edoc download.php 4981 pdf imm4981.pdf ref It is possible to compute the regularized canonical vectors in the lower dimensional space. ref Cite thesis author Finn rup Nielsen year 2001 title Neuroinformatics in Functional Neuroimaging url http www2.imm.dtu.dk pubdb views edoc download.php 201 pdf imm201.pdf publisher Technical University of Denmark Section 3.18.5 ref References Reflist cite journal last1 Leurgans first1 S.E. last2 Moyeed first2 R.A. last3 Silverman first3 B.W. title Canonical correlation analysis when the data are curves journal Journal of the Royal Statistical Society series Series B Methodological year 1993 volume 55 number 3 pages 725 740 jstor 2345883 Category Mathematical analysis Category Calculus of variations ... more details
In statistics , multiple correspondenceanalysis MCA is a data analysis technique for nominal categorical data, used to detect and represent underlying structures in a data set. It does this by representing data as points in a low dimensional Euclidean space . The procedure thus appears to be the counterpart of principal component analysis for categorical data ref Le Roux, B. and H. Rouanet 2004 , Geometric Data Analysis, From CorrespondenceAnalysis to Structured Data Analysis, Dordrecht. Kluwer p.180 ref ref cite book author Greenacre, Michael and Blasius, J rg editors title Multiple CorrespondenceAnalysis and Related Methods publisher Chapman & Hall CRC location London year 2006 ref . MCA is an extension of simple correspondenceanalysis CA in that it is applicable to a large set of categorical ... CRC location London year 2007 title CorrespondenceAnalysis in Practice, Second Edition ref An indicator ... 2004 , Geometric Data Analysis, From CorrespondenceAnalysis to Structured Data Analysis, Dordrecht ... variables. Analyzing the Burt table is a more natural generalization of simple correspondenceanalysis ... 2004 , Geometric Data Analysis, From CorrespondenceAnalysis to Structured Data Analysis at Google ... dimensions best able to describe the central oppositions in the data. As in factor analysis or principal component analysis , the first axis is the most important dimension, the second axis ... of axes to be retained for analysis, is determined by calculating modified eigenvalues . In the social ... Analysis of Questionnaires. The Lesson of Bourdieu s La Distinction , in Bulletin de M thodologie Sociologique 65, pp. 4 18 ref . Sociologists following Bourdieu s work most often opt for the analysis ... accorded to the analysis of the cloud of individuals . ref Lebaron, Fr d ric 2009 How Bourdieu Quantified ... tlfu esp publicaciones libros fichalibro index.jsp?codigo 300 Categories DEFAULTSORT Multiple CorrespondenceAnalysis Category Multivariate statistics Category Data analysis fr Analyse des correspondances ... more details
Cleanup date July 2008 Detrended correspondenceanalysis DCA is a multivariate statistics statistical technique widely used by ecology ecologist s to find the main factors or gradients in large, species rich but usually sparse data matrices that typify Community ecology ecological community data. For example, Hill and Gauch 1980, p. 55 analyse the data of a vegetation survey of southeast England including 876 species in 3270 Species area curve relev s . After eliminating outliers , DCA is able to identify two main axes The first axis goes from dry to wet conditions, and the second axis from woodland to weed communities. History of DCA It was created in 1979 by Mark Hill of the United Kingdom ... and implemented in FORTRAN code package called DECORANA Detrended CorrespondenceAnalysis , a correspondenceanalysis method. DCA is sometimes erroneously referred to as DECORANA however, DCA is the underlying ... statistics ordination such as a correspondenceanalysis the ordination scores of the samples ... five species. Image PAST CA Ideal 5Species Per Sample.png thumb Result of Correspondenceanalysis for the ideal ... 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 The plot of the first two axes of the correspondenceanalysis ... program for Detrended CorrespondenceAnalysis and Reciprocal Averaging . Section of Ecology and Systematics, Cornell University, Ithaca, New York, 52pp. Hill, M.O. and Gauch, H.G. 1980 . Detrended CorrespondenceAnalysis An Improved Ordination Technique. Vegetatio 42 , 47&ndash 58. Oksanen J and Minchin ... Detrended CorrespondenceAnalysis and Basic Reciprocal Averaging from Hill and Gauch 1980 Category ... effect , even though the process under analysis is a steady and continuous change that human intuition ... there is a constrained canonical version called DCCA in which the axes are forced by Multiple linear ... this allows testing of a null model by Monte Carlo permutation analysis. Example The example shows ... of Gradient Analysis. Advances in Ecological Research 18 , 271&ndash 371. ISBN 0 12 013918 9. Reprinted ... more details
wiktionarypar correspondenceCorrespondence may refer to In general usage, non concurrent, remote communication between people, including letter message letter s, email , newsgroups , Internet forums , blogs Correspondence theory of truth philosophy , a theory in epistemology Correspondence principle physics , that theories must agree with experimental evidence Correspondence theology , the relationship between spiritual and physical realities Correspondence mathematics , several related meanings Correspondenceanalysis , a multivariate statistical technique Correspondence problem computer vision , finding depth information in stereography Regular sound correspondence linguistics , see Comparative method Correspondence rules quantum mechanics Correspondence chess played between different geographical locations Correspondence course, a distant education method Correspondence album , a 1983 studio album by singer and musician Peter Godwin disambig de Korrespondenz Begriffskl rung eo Korespondo eu Korrespondentzia argipena io Korespondo it Corrispondenza nn Korrespondanse sk Kore pondencia sv Korrespondens ... more details
Canonical is the adjective for canon , literally a rule , and has come to mean also standard , typical , or unique distinguished exemplar . See the page canon disambiguation for most uses of canonical in law, canon law, religion, literature, etc. Mathematics This section is linked from Euclidean space In mathematics, a canonical form is a natural unique representation of an object, or a preferred notation for some object. In set theory, a canonical representative is a standard member of each element of a set partition . Physics A canonical variable is a conjugate variable in theoretical physics The grand canonical ensemble , canonical ensemble , and the microcanonical ensemble , in statistical mechanics, are probability distributions for the microscopic state of a thermal system Canonical theory is a unified molecular theory of physics, chemistry, and biology Computer science In enterprise application integration, the Canonical Model is a Software design pattern design pattern used to communicate between different data formats. In computer networking, a canonical name record CNAME record is a type of Domain Name System record. In computer networking, a canonical number is a former name for a MAC address In computer networking, a canonical link element is an HTML element that helps webmaster webmasters prevent duplicate content issues by specifying the canonical , or preferred , version of a web page as part of search engine optimization . Business Canonical Ltd. is a software company Religion Pertaining to the Biblical canon Canonical gospel Canonical criticism Wiktionarypar canonical See also Canonicalization puts an object in canonical form. disambiguation de Kanonisch fr Canonique io Kanonala es Can nico ... more details
Canonical model may refer to Canonical Model , a design pattern Canonical ring in mathematics Kripke semantics Canonical models Canonical Kripke models in modal logic Relative canonical model in mathematics disambiguation ... more details
Canonical provision is a term of the canon law of the Roman Catholic Church , signifying regular induction into a benefice . Analysis It comprises three distinct acts the designation of the person, canonical institution , and installation. In various ways a person may be designated to fill a vacant benefice by election, postulation, presentation, or recommendation, resignation made in one s favour, or approved exchange. In all cases confirmation by the proper ecclesiastical superior of the selection made is required, while letters of appointment, as a rule, must be presented. Reception of administration by a chapter without such letters brings excommunication reserved to the pope, together with privation of the fruits of the benefice and the nominee loses ipso facto all right to the prelacy. Ordinarily greater benefices are conferred by the pope minor benefices by the bishop, who as a rule has the power of appointing to all benefices in his diocese. The pope, however, owing to the fullness of his jurisdiction, may appoint to any benefice whatsoever. History These extraordinary provisions became common in the eleventh and subsequent centuries, and met at times with stern opposition. In 1351 an English statute Statute of Provisors was enacted, designed to prevent the pope from exercising this prerogative. Similar enactments were made in 1390 and in later years. At present only in certain defined circumstances does the Pope make use of this right. The bishop s power is further restricted at times to confirming an election or postulation or to approving candidates presented by one who enjoys the right of presentation by privilege, custom, or prescription.on Canonical institution main Canonical institution Canonical institution or collation is the concession of a vacant benefice ... necessary. An ecclesiastical benefice cannot be lawfully obtained without canonical institution ... wstitle Canonical Provision Category Canon law ... more details
Canonical Transformation may refer to Symplectomorphism , a mathematical treatment Canonical transformation , a physics treatment disambiguation ... more details
refimprove date December 2007 Generally, in mathematics , a canonical form often called normal form or standard form of an object is a standard way of presenting that object. Canonical form can also mean a differential form that is defined in a natural canonical way Differential forms see below . Finding a canonical form is called canonization . In some branches of computer science the term canonicalization ... . A canonical form is given by designating some objects of S to be in canonical form , such that every object under consideration is equivalent to exactly one object in canonical form. In other words, the canonical forms in S represent the equivalence classes, once and only once. To test whether two objects are equivalent, it then suffices to test their canonical forms for equality. A canonical form ... a distinguished canonical representative. In practical terms, one wants to be able to recognize the canonical forms. There is also a practical, algorithmic question to consider how to pass from a given object s in S to its canonical form s ? Canonical forms are generally used to make operating with equivalence classes more effective. For example in modular arithmetic , the canonical form for a residue ... . A canonical form may simply be a convention, or a deep theorem. For example, polynomials are conventionally ... of Jordan canonical form for a matrix is a deep theorem. Examples Note in this section, up to some equivalence relation E means that the canonical form is not unique in general, but that if one object has two different canonical forms, they are E equivalent. Linear algebra class wikitable Objects ... form Conjunctive normal form Disjunctive normal form Algebraic normal form Canonical form Boolean algebra Prenex normal form Skolem normal form Functional analysis class wikitable Objects A is equivalent ... theory canonical representation of a positive integer canonical form of a continued fraction Algebra ... form of a bifurcation Graph theory main Graph canonization Differential forms Canonical differential ... more details
In mathematics and classical mechanics , canonical coordinates are particular sets of coordinates on the phase space , or equivalently, on the cotangent manifold of a manifold . Canonical coordinates arise naturally in physics in the study of Hamiltonian mechanics . As Hamiltonian mechanics is generalized by symplectic geometry and canonical transformation s are generalized by contact transformation s, so the 19th century definition of canonical coordinates in classical mechanics may be generalized to a more abstract 20th century definition in terms of cotangent bundles. This article defines the canonical coordinates as they appear in classical mechanics . A closely related concept also appears in quantum mechanics see the Stone von Neumann theorem and canonical commutation relation s for details. Definition, in classical mechanics In classical mechanics , canonical coordinates are coordinates math q i , math and math p i , math in phase space that are used in the Hamiltonian mechanics Hamiltonian formalism. The canonical coordinates satisfy the fundamental Poisson bracket relations math q i, q j 0 qquad p i, p j 0 qquad q i, p j delta ij math Canonical coordinates can be obtained from the generalized coordinates of the Lagrangian mechanics Lagrangian formalism by a Legendre transformation , or from another set of canonical coordinates by a canonical transformation . Definition, on cotangent bundles Canonical coordinates are defined as a special set of coordinates on the cotangent ... definition of canonical coordinates is any set of coordinates on the cotangent bundle that allow the canonical .... A change of coordinates that preserves this form is a canonical transformation these are a special ... math T Q math these coordinates are called the canonical coordinates . Generalized coordinates In Lagrangian ... on the cotangent bundle, then the generalized coordinates are related to the canonical coordinates by means of the Hamilton Jacobi equation s. See also Linear discriminant analysis symplectic ... more details
Image Postcard for correspondence chess.jpg thumb 325px right Postcard for international correspondence chess File Back of correspondence chess card.tif right thumb Card used by the US Chess Federation Correspondence chess is chess played by various forms of long distance correspondence, usually through a correspondence chess server , through e mail email or by the postal system less common methods ... . Correspondence chess allows people or clubs who are geographically distant to play one another without meeting in person. These distant relationships are just one of the many distinct appeals of correspondence chess. ref Craig Sadler, Facts, Games and World Champions of Correspondence Chess, http ... played by correspondence can vary depending on the method used to transmit the moves a game played ... between players in different countries might last several years. Structure of correspondence chess Correspondence chess differs from over the board play in several respects. While players in OTB chess generally play one at a time an exception being a simultaneous exhibition , correspondence players ... may have more than one hundred games continuing at the same time. Time limits in correspondence ... assistance has altered the essence of correspondence chess and in addition to profound chess knowledge and analytical discipline, the ability to interpret and guide computer analysis has become ... bodies of correspondence chess Correspondence chess tournaments are usually played under the auspices of an official regulatory body, most importantly International Correspondence Chess Federation ... organizes postal and email events, is not the only organization involved in correspondence chess ... Internet Correspondence Games Server FICGS , that also runs a world championship cycle, and International .... The ICCF awards the titles International Master , Senior International Master and International Correspondence ... chess. The ICCF also runs the World Correspondence Chess Championships. Because these events can ... more details
This article discusses quantum theory and relativity. For other uses, see Correspondence principle disambiguation . In physics , the correspondence principle states that the behavior of systems described ... mechanics reduces to classical mechanics. Bohr s correspondence principle demands that classical physics ... first Niels authorlink Niels Bohr title Niels Bohr, Collected Works, Volume 3, The Correspondence Principle ... under which quantum and classical physics agree are referred to as the correspondence limit , or the classical limit . Bohr provided a rough prescription for the correspondence limit it occurs when the quantum numbers describing the system are large . A more elaborated analysis of quantum classical correspondence QCC in wavepacket spreading leads to the distinction between robust restricted ... 1925 new quantum theory came in two different formulations. In matrix mechanics , the correspondence ... obey Newton s laws. The correspondence principle is one of the tools available to physicists for selecting ... space. The correspondence principle limits the choices to those that reproduce classical mechanics in the correspondence limit. Because quantum mechanics only reproduces classical mechanics in a statistical ... scientific theories The term correspondence principle is used in a more general sense to mean the reduction ... for which the preceding theory was known to be valid, the correspondence limit . For example, Einstein s special relativity satisfies the correspondence principle, because it reduces to classical mechanics ... are protein coding genes . In order for there to be a correspondence, the earlier theory has to have ... with the correspondence formula. For a hydrogen atom, the classical orbits have a period ... Bohr Model model . Since only the level spacing is determined by the correspondence principle, you ... order approximation. One dimensional potential Bohr s correspondence condition can be solved for the level ... momentum in the case of the circular orbits. The orbits selected by the correspondence principle ... more details
In statistics , canonical correlation analysis , introduced by Harold Hotelling , is a way of making ... book chapter Canonical correlation analysis Use of composite heliographs for representing multiple patterns ... angles . See also Regularized canonical correlation analysis Generalized Canonical Correlation ... Understanding canonical correlation analysis Concepts and Techniques in Modern Geography Canonical ... A note on the ordinal canonical correlation analysis of two sets of ranking scores Also provides ... Representation Constrained Canonical Correlation Analysis A Hybridization of Canonical Correlation ... x 1, dots, x n math and math y 1, dots, y m math , and there are correlations among the variables, then canonical correlation analysis will enable us to find linear combinations of the math x math s and the math ... matrix based on sampled data from math X math and math Y math i.e. from a pair of data matrices . Canonical correlation analysis seeks vectors math a math and math b math such that the random variables ... . The random variables math U a X math and math V b Y math are the first pair of canonical variables ... with the first pair of canonical variables this gives the second pair of canonical ... math is proportional to math Sigma YY 1 2 Sigma YX a math The canonical variables are defined by math ... Multivariate Analysis year 1979 publisher Academic Press ref Since all the correlations from math min ... this point is irrelevant. Practical uses A typical use for canonical correlation in the experimental ... accounted for a substantial amount of shared variance between the two tests. One can also use canonical correlation analysis to produce a model equation which relates two sets of variables, for example ... 8 1999 . ref Visualization of the results of canonical correlation is usually through bar plots of the coefficients of the two sets of variables for the pairs of canonical variates showing significant ... of math X math and math Y math , correspondingly. The definition of the canonical variables ... more details
orphan date November 2007 In astrodynamics , A canonical unit is a unit of measurement defined in terms of an object s reference orbit . In this system, a reference mass, for example the sun, is assumed to be 1 mass unit and the mean distance from the orbiting object to the reference object is considered the distance unit . Canonical units are useful when the precise distances and masses of objects in space are not available. However, by setting the mass of a given object to be 1 mass unit and the mean distance of the reference object to another object in question, many calculations can be simplified. Overview The distance unit math DU math is defined to be the mean radius of the reference orbit. The time unit math TU math is defined by the gravitational parameter math mu math math mu G M , math math G math is the gravitational constant math M math is the mass of the central reference body For Canonical Units, the gravitational parameter is defined as math mu 1 frac DU 3 TU 2 math The quantity of the time unit TU can be solved in another unit system eg. the metric system if the mass and radius of the central body has been determined. Using the above equation and applying dimensional analysis , set the two equations expressing math mu math equal to each other math mu G M 1 frac DU 3 TU 2 math The Time unit TU can be converted to another unit system for a more useful qualitative solution using the following equation math TU sqrt frac DU 3 G M math Approximate unit conversions are as follows 1 DU 6378.1 Km 20,925,524.97 ft 1 DU TU 7.90538 Km sec 25,936.29 ft sec 1 TU 806.80415 sec Astronomical Units An Astronomical units is canonical unit based on the orbit of the Earth around the Sun See also Astronomical unit Conversion of units References Roger R. Bate, Donald D. Mueller, Jerry E. White. Fundamentals of Astrodynamics . Category Astrodynamics Category Celestial mechanics ... more details
Canonical domain may refer to CNAME record , loosely called a canonical domain name One of the simply connected Riemann surface s see uniformization theorem disambig ... more details
Orphan date February 2009 In Canon Law Canonical Acts are the documents which prove an ecclesiastical procedure. ref CathEncy wstitle Canonical Acts ref References reflist Category Canon law RC Canon law stub ... more details
Several approaches to Springer correspondence have been developed. T. A. Springer s original construction ... Springer correspondence has been studied by Lusztig Spaltenstein 1985 and by Lusztig in his ... correspondence. Example For the special linear group SL sub n sub , the unipotent conjugacy classes ... a field of characteristic zero are also parametrized by the partitions of n . The Springer correspondence ... Springer correspondence turned out to be closely related to the classification of primitive ideal ... resolutions of nilpotent varieties . Analysis and topology on singular spaces, II, III Luminy, 1981 ... 1981 , 169 178. G. Lusztig and N. Spaltenstein. On the generalized Springer correspondence for classical ... Springer correspondence for exceptional groups . Advanced Studies in Pure Mathematics ... more details
Unreferenced date December 2009 TWCleanup A lexical correspondence is a set of cognate words or morpheme s in two or more related languages. In order to form such a correspondence, it is not sufficient that the words are similar in both form and meaning, but that regular sound correspondence s occur between the phoneme s contained in the words. DEFAULTSORT Lexical Correspondence Category Lexicology ... more details
Quantum field theory In physics , canonical quantization is a procedure for quantization physics quantizing a classical theory while attempting to preserve the formal structure of the classical theory ... . The word canonical arises from the Hamiltonian mechanics Hamiltonian approach to classical mechanics, in which a system s dynamics is generated via canonical Poisson bracket s, a structure that is preserved to the extent possible in canonical quantization. This method was used in the context ... date May 2010 whose quantum mechanics was first investigated by Paul Dirac Dirac . The name canonical ... and momenta math p math . These specify the state of a classical system. The canonical structure also ... as canonical transformation s in classical mechanics. In quantum mechanics , observables are represented ... may be considered a quantum analog of the canonical structure of classical mechanics. Second quantization ... mechanics, so that all particles are now described relativistically by quantum field s. When the canonical ... is different. One drawback to canonical quantization for a relativistic field is that by relying on the Hamiltonian ... . The details of the canonical quantization depend on the field being quantized, and whether it is free or interacting. Real scalar field A Scalar field theory provides a good example of the canonical ... dt math . The canonical momentum obtained via the Legendre transform using the action math L math ... left frac 1 2 pi 2 frac 1 2 partial x phi 2 frac 1 2 m 2 phi 2 V phi right . math Canonical quantization treats the variables math phi x math and math pi x math as operators with canonical commutation ... math in one of these vacua may be considered a condensate of the field math phi math . Canonical quantization ... algebra or even Poisson supermanifold s. See also Correspondence principle Creation and annihilation ... Canonical Quantization ? http www.quantumfieldtheory.info Pedagogic Aides to Quantum Field Theory .... DEFAULTSORT Canonical Quantization Category Quantum field theory Category Mathematical quantization ... more details
Unreferenced stub auto yes date December 2009 dicdef Orphan date December 2009 A canonical sequence is a sequence of DNA , RNA , or amino acid s that reflects the most common choice of base chemistry base or amino acid at each position. See also Homology biology DEFAULTSORT Canonical Sequence Category Genetics Genetics stub ... more details
orphan date August 2010 A Canonical Inquisition is an official enquiry in the Roman Catholic Church conducted according to Canon Law . ref CathEncy wstitle Canonical Inquisition ref References reflist Category Canon law Category Inquiry Category Roman Catholic Church RC Canon law stub ... more details
Infobox company company name Canonical Ltd company logo File Canonical logo.svg 200px official logo has ... , Xubuntu , Edubuntu , Launchpad website Launchpad , Bazaar vcs Bazaar , Canonical Landscape ... android title UBuntu for Android publisher Canonical Ltd. accessdate 2012 02 21 quote We have ... top priorities title Ubuntu Canonical s New CEO Discusses Top Priorities publisher TheVarGuy accessdate 2010 03 05 quote 3. On Canonical s Size and Financial Performance Canonical now has about 320 employees.. ref subsid Canonical Ltd. Subsidiaries Canonical Group Ltd ref cite web url http wck2.companieshouse.gov.uk 9997671e24728571142fd0f173c68da2 compdetails title Canonical Group Limited .... UK seems to be about tax technicalities of operating in the UK br Canonical Ltd. Subsidiaries Canonical USA Inc. br Canonical Ltd. Subsidiaries Canonical China Ltd zh c br Canonical Ltd. Subsidiaries Canonical Brasil Ltda br Canonical Ltd. Subsidiaries Canonical Canada Ltd br Canonical Ltd. Subsidiaries Canonical Ltd Taiwan Br. zh c CEO Jane Silber homepage http www.canonical.com ... accessdate 2005 05 18 ref aka MRS. VD ... M R S Mark Richard Shuttleworth Canonical UK Ltd. formerly ... s most well known product Canonical Ltd. ref UK registered trademark http www.ipo.gov.uk tm t find t find number?trademark E4059218 E4059218 CANONICAL , filed 2004 09 29. ref is a private company ... and related services for Ubuntu Linux and related projects. Canonical employs staff in more than 30 ... of Man. ref cite web publisher Canonical Ltd url http www.canonical.com about canonical title About Canonical accessdate 2012 03 06 quote We ve come a long way since our launch in 2004. We now have ..., Sao Paulo and the Isle of Man. ref Projects Canonical Ltd. has created and continues to back several ... system Ubuntu is the main Canonical product The Ubuntu family of Linux distribution s Ubuntu operating ... desktop in place of Unity Fluxbuntu is NOT a Canonical project. Fluxbuntu , which offers the lightweight ... more details
In mathematics , the canonical bundle of a non singular algebraic variety math V math of dimension math ... sheaf . The canonical class is the divisor class of a Cartier divisor K on V giving rise to the canonical bundle &mdash it is an equivalence class for linear equivalence on V , and any divisor in it may be called a canonical divisor . An anticanonical divisor is any divisor &minus K with K canonical. The anticanonical bundle is the corresponding inverse bundle sup &minus 1 sup . The adjunction ... and that D is a smooth divisor on X . The adjunction formula relates the canonical bundles of X and D . It is a natural isomorphism math omega D i omega X otimes mathcal O D . math In terms of canonical ... On a singular variety math X math , there are several ways to define the canonical divisor. If the variety is normal, it is smooth in codimension one. In particular, we can define canonical divisor on the smooth ... by math K X math that is referred to as the canonical divisor on math X. math Alternately, again .... Canonical maps If the canonical class is effective, then it determines a rational map from V into projective space. This map is called the canonical map . The rational map determined by the n th multiple of the canonical class is the n canonical map . The n canonical map sends V into a projective space of dimension one less than the dimension of the global sections of the n th multiple of the canonical class. n canonical maps may have base points, meaning that they are not defined everywhere ... if they have zero dimensional fibers, they need not be local analytic isomorphisms. Canonical curves The best studied case is that of curves. Here, the canonical bundle is the same as the holomorphic cotangent bundle . A global section of the canonical bundle is therefore the same as an everywhere ... of the first kind . The degree of the canonical class is 2 g &minus 2 for a curve of genus g . ref Springer title canonical class id C c020120 ref Low genus Suppose that C is a smooth algebraic curve ... more details
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