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
Greek Scriptures may refer to The New Testament A translation of any Scripture into the Greek language, but especially the Septuagint translation of the Hebrew Scriptures , or Old Testament disambig ... more details
Bible Students Jehovah s Witnesses Studies in the Scriptures is a series of publications, intended as a Bible study aid, containing seven volumes of great importance to the history of the Bible Student movement , and the early history of the Jehovah s Witnesses . Origin and author The author of Studies in the Scriptures , Charles Taze Russell , reported that he did not write them through visions and dreams, nor by God s audible voice, but that he sought to bring together these long scattered fragments of truth . ref cite journal journal Zion s Watch Tower date April 1, 1899 page 87 ref The first volume was written in 1886. Originally titled The Plan of the Ages as part of a series called Millennial Dawn , it was later renamed The Divine Plan of the Ages . The name of the series was changed to Studies in the Scriptures in 1904 in order to clarify their nature as biblical textbooks. Purpose ... in the Scriptures volumes 1&ndash 6 1. The Divine Plan of the Ages 1886 &mdash ... thumb left Chart from Divine Plan of the Ages, Studies in Scriptures Vol 1. The series was criticized ... in the Scriptures aside and ignores them and goes to the Bible alone, though he has understood his ... journal Zion s Watch Tower page 297 date September 15, 1910 ref Studies in the Scriptures claimed ... of Pennsylvania Watch Tower Society ceased publication of all seven volumes of Studies in the Scriptures ... But in 1927 The Finished Mystery and the other six volumes of the Studies in the Scriptures ceased ... of the Book of Revelation make reference to Studies in the Scriptures . The six original volumes of Studies in the Scriptures are still published by the Bible Student movement. References reflist External links http www.bible411.com sits sitsindex.htm Studies in the Scriptures Online http www.biblestudents.com HTDB.cfm Studies in the Scriptures and other materials from Biblestudents.com http ... da Studies in the Scriptures de Schriftstudien nl Schriftstudies pl Wyk ady Pisma wi tego pt ... more details
Satanism The Satanic Scriptures is a book by current wiktionary High Priest High Priest of the Church of Satan , Peter H. Gilmore . Like The Satanic Bible before it, it is a collection of essays and observations as well, it obtains the detailed writings on once non public Satanic ritual s. The hardback edition of the book was given a limited release on April 30, 2007, Walpurgisnacht , with a mainstream release following on the 13th of October the same year. The book was published first in English by Scapegoat Publishing as a 304 page clothbound edition, a slipcased edition, and as a paperback edition. There are French, German, Portuguese and Estonian translations. Essays A large portion of the essays were released prior to the book however, some of the essays included in the book are improved variations. Some, including the essay released in the excerpt, deal with what the Church of Satan deems to be pseudo Satanists, and those who refuse to affiliate with the Church, but instead form their own groups. The website claims that other essays will touch on the similarity between fascist aesthetics and LaVeyan Satanism , along with a multitude of political issues that correlate to the Satanic viewpoint, as the released table of contents shows. Included, but not limited to, are issues such as terrorism in the United States . Rituals Many of the rituals detailed in the book were previously only known to members of the priesthood in the Church of Satan, such as the wedding rite which was performed by founder Anton LaVey , along with the details for a Satanic funeral , assumed to be a variation ... The Satanic Scriptures http www.amazon.com dp 0976403595 Amazon page External links http www.thesatanicscriptures.com The Satanic Scriptures http www.scapegoatpublishing.com Scapegoat Publishing http www.churchofsatan.com Church of Satan DEFAULTSORT Satanic Scriptures Category Satanic texts Category Essay collections reli book stub et Saatanlikud p hakirjad pl The Satanic Scriptures ... more details
Infobox album See Wikipedia WikiProject Albums Name Family Scriptures Type Album Artist Mo Thugs Cover Mo Thugs Family Scriptures.jpg Released March 13, 1996 Recorded 1995 1996 Genre Midwest Rap Length 01 14 51 Label Relativity Records Relativity Producer Krayzie Bone Anthony Henderson br Archie Blaine br Bobby Jones record producer Bobby Jones br Paul O Neil Last album This album Family Scriptures br 1996 Next album Chapter II Family Reunion br 1998 Album ratings rev1 Allmusic rev1Score Rating 3 5 Allmusic class album id r245628 pure url yes link rev2 Entertainment Weekly rev2Score A http www.ew.com ew article 0,,295215,00.html link rev3 The Source magazine The Source rev3Score Rating 4 5 noprose yes Family Scriptures is the debut album by Mo Thugs , released in 1996. Track listing Intro Tre featuring Krayzie Bone Searchin 4 Peace Poetic Hustla z Ghetto Bluez II Tru featuring Layzie Bone and Niko Killing Fields Graveyard Shift rapper Graveyard Shift Mo Murder Krayzie Bone Ain t No Reason Ken Dawg Take Your Time Tre featuring Krayzie Bone Welcome To My World II Tru featuring Ken Dawg Thug Devotion Mo Thugs Family feat. Tre , Souljah Boy, Krayzie Bone , Layzie Bone & Ken Dawg Here With Me Tre Playa In Me Ken Dawg No Pretender Jhaz, Tombstone, Boogy Nikke & Krayzie Bone Rumors & War Graveyard Shift featuring Flesh N Bone II Tru II Tru Low Down Souljah Boy featuring Krayzie Bone Family Scriptures Mo Thugs Family feat. Graveyard Shift, Poetic Hustla z, II Tru, Ken Dawg, Souljah Boy, Bone Thugs N Harmony , & Tre Category 1996 debut albums Category Mo Thugs albums 1990s hiphop album stub ... more details
Unreferenced date December 2009 Infobox album See Wikipedia WikiProject Albums Name The Scriptures Type Album Artist Christian Death Cover The Scriptures.jpg Released 1987 Recorded 1987 Genre Deathrock Length Label Normal Records Jungle Records Cleopatra Records Candlelight Records Producer Valor Reviews Allmusic Rating 3 5 Allmusic class album id r33133 pure url yes link The Scriptures was Christian Death s fifth album and is seen as an essay on comparative world religions. The liner notes state that the work is a translation of world beliefs by Valor. The album, like Atrocities album Atrocities , is split into two acts, though later reissues would omit these subtitles. The first 10,000 versions of the original LP record came with a free seven inch single containing two songs Jezebel s Tribulation and Wraeththu . Some CD reissues of the album feature these songs as bonus tracks. The completion of recording on The Scriptures would see David Glass leave the group and like previous members Barry Galvin and Johann Schumann, would go on to play in Mephisto Walz . Track listing The Days Of Yore And Nonce Prelude Valor 1 57 Song Of Songs Valor 5 15 Vanity Valor 2 55 The Four Horsemen Valor 4 48 1983 Jimi Hendrix 9 58 The Womb Of Time Omega Dawn Valor, D. Glass 3 19 A Ringing In Their Ears Valor, D. Glass 1 37 Golden Age Valor, Kota 3 29 Alpha Sunset Valor, D. Glass 2 01 Spilt Blood Valor, D. Glass 0 58 Raw War Valor, D. Glass 6 32 Reflections Valor, R. Spitzer, D. Glass 6 20 Personnel Valor Singing vocals , guitar , violin , piano Gitane DeMone Singing vocals , Keyboard instrument keyboards Kota musician Kota Bass guitar bass James Beam guitar , Singing vocals David Glass musician David Glass Drum kit drums DEFAULTSORT Scriptures, The Category 1987 albums Category Christian Death albums ... more details
italic title infobox Book name Twisted Scriptures title orig translator image File Twisted Scriptures.jpg 150px image caption Book cover author Mary Alice Chrnalogar illustrator cover artist country United States language English language English series subject Mind control , cult s, new religious movement s genre Non fiction publisher Zondervan pub date 1997 english pub date media type pages 304 isbn 0310234085 dewey 262 .8 21 congress BV4520 .C58 2000 oclc 36990972 preceded by followed by Twisted Scriptures Breaking Free from Churches That Abuse first edition Twisted Scriptures A Path to Freedom from Abusive Churches is a non fiction book by Mary Alice Chrnalogar, published by Zondervan . Chrnalogar instructs readers on how to determine if a religious group is Psychological manipulation manipulative or abusive, and describes techniques of mind control . The book was first published in 1997 ... with him, and after that she became a deprogrammer. ref name holmes Contents Twisted Scriptures has ... if a church is manipulating the Scriptures or using abusive tactics. ref name honey Discipleship ... Alice Chrnalogar, Twisted Scriptures 189 1997 . She explains that the existence of as few as six of Lifton ... K. Witowski of the Post Tribune characterized Twisted Scriptures as a book designed to free cult ... the questioning of authority, putting biblical scriptures back into context and restoration of critical ... last Malkin first Leslie title Twisted scriptures a path to freedom from abusive churches journal ... Scriptures A Path To Freedom from Abusive Churches work Cult Help and Information publisher Cult .... ref cite news title Twisted Scriptures A Path to Freedom from Abusive Churches work CISNEO ... date 2009 url http www.cisneoinc.org reviews.htm accessdate 2009 12 09 ref Twisted Scriptures is used ... US Product ProductDetail.htm?ProdID com.zondervan.9780310234081&QueryStringSite Zondervan Twisted Scriptures , info at Zondervan http www.factnet.org Purchase Books Twisted Scriptures.htm Twisted Scriptures ... more details
unreferenced date April 2012 Ayyavazhi The Akilattirattu Ammanai and Arul Nool are the scriptures of Ayyavazhi . While Akilathirattu Ammnai is the primary holy text, Arul Nool is considered the secondary regarding the religious importance. The Akilam is further scheduled into seventeen sections and the Arul Nool into eleven. Akilattirattu Ammanai Akilam one Akilam two Akilam three Akilam four Akilam five Akilam fifteen Akilam seventeen Akilam sixteen Akilam six Akilam seven Akilam eight Akilam nine Akilam ten Akilam eleven Akilam twelve Akilam thirteen Akilam fourteen Akilam fifteen Akilam sixteen Akilam seventeen Arul Nool Ukappadippu Pothippu Ucchippadippu Saattu Neettolai Nadutheervai Ula Panchadevar Urppatthi Patthiram Sivakanta Athikarappatthiram Thingal patham Saptha Kannimar Padal Kalyana Vazhthu See also Ayyavazhi holy sites Hari Gopalan Citar Citar Category Ayyavazhi ... more details
Sikh scriptures The principal Sikh scripture is the Adi Granth First Scripture , more commonly called the Guru Granth Sahib . The Sikh s do not regard this as their holy book but as their perpetual and current Guru , Guide or Master. It was called Adi Granth until Guru Gobind Singh , the tenth and final Guru in human form conferred on it the title of the Guru in 1708, after which it was called Sri Guru Granth Sahib or Guru Granth Sahib , for short. The Granth has 1430 pages and is divided into 39 chapters. All copies are exactly alike. The Sikhs are forbidden from making any changes to the text within this Scripture. The Guru Granth Sahib was compiled by Guru Arjan Dev, the fifth Guru of the Sikhs. The work of compilation was started in 1601 and finished in 1604. The Granth, called by Guru Arjan as Pothi Sahib , was installed at Harmandir Sahib House of God with much celebration. Banis The main bani s found here are the following Japji Sahib Mool Mantar Salok Shabad Hazaray Anand Sahib Rehras Sahib less the Benti Chaupai Kirtan Sohila Sukhmani Sahib Asa di Var Languages The following languages are found in this Granth Punjabi language Punjabi many Sikh Gurus, Bhagat saint Sheikh Farid and others Sindhi language Sindhi Guru Arjan Sanskrit Guru Nanak, Guru Arjan and others Lahnda languages Lehndi or Western Punjabi Guru Arjan Gujarati language Gujarati and Marathi language Marathi Bhagat Namdev and Trilochan Western Hindi Bhagat Kabir Eastern Hindi Court poets Eastern Apabhramsha s Bhagat Jaidev Influence of Arabic and Persian Bhagat Namdev,Guru Nanak The first published translation ... languages and had studied many ancient Indian religious scriptures. Each of the 40 chapters of Varan ... in many different ways. Other Scriptures Bhai Nand Lal s Work Bhai Gurdas Kabits Savaiyas Hukamnamas of the Gurus Digitization of Scriptures Panjab Digital Library in collaboration with the Nanakshahi Trust took up digitization of Sikh scriptures in 2003. Thousands of manuscripts has been digitized ... 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 Transformation may refer to Symplectomorphism , a mathematical treatment Canonical transformation , a physics treatment disambiguation ... 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
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 statistics , canonical analysis from Gk. bar, measuring rod , ruler belongs to the family of regression methods for data analysis. Regression analysis quantifies a relationship between a predictor variable and a criterion variable by the coefficient of correlation r , coefficient of determination r , and the standard regression coefficient . Multiple regression analysis expresses a relationship between a set of predictor variables and a single criterion variable by the multiple correlation ... 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. Canonical analysis Canonical analysis ... and more meaningful structure increases the interpretability of the canonical weights C and D. In this the canonical analysis 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 canonical analysis is analogous to the difference between the principal components analysis and factor ... . Canonical analysis simple Canonical analysis is a multivariate technique which is concerned with determining ... groups, let s call these groups X and Y, based on some common characteristics. The purpose of Canonical .... 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 ... . Biometrika, 28, 321 377 Krus, D.J., et al. 1976 Rotation in canonical analysis . Educational and Psychological ... in canonical analysis . Multivariate Behavioral Research , 30, 539 545. http www.visualstatistics.net ... 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
In mathematics, a canonical basis is a basis of an algebraic structure that is canonical in a sense that depends on the precise context In a coordinate space, and more generally in a free module, it refers to the standard basis defined by the Kronecker delta In a polynomial ring, it refers to its standard basis given by the monomial s, math X i i math . For finite extension fields, it means the polynomial basis . In representation theory, Lusztig s canonical basis and closely related Kashiwara s crystal basis in quantum groups and their representations See also Canonical form Normal form mathematics Normal form disambiguation Polynomial basis Normal basis Change of bases mathdab Category Linear algebra Category Abstract algebra fr Base canonique pl Baza kanoniczna pt Base can nica ... more details
Canonical Model is a design pattern used to communicate between different data formats. A form of Enterprise Application Integration , it is intended to reduce costs and standardize on agreed data definitions associated with integrating business systems. A Canonical Model is any model that is canonical in nature, i.e. a model which is in the simplest form possible based on a standard, common view within a given context. Often the term Canonical Model is used interchangeably with Canonical Data Model, an enterprise design pattern which provides common data naming, definition and values within a generalized data framework. Adoption of a comprehensive enterprise integration strategy often entails a move to a message based integration methodology. A typical migration from point to point interfacing to message based integration begins with a decision on the middleware to be used to transport messages between endpoints. Often this decision results in the adoption of an Enterprise Service Bus ... in the construction of an enterprise or business domain Canonical Model or adoption of an XML ..., Thomas Erl , Prentice Hall, 2005 ref . The goal of the Canonical Model is to provide a dictionary ... system interoperability. A Canonical Data Model allows developers and business users to discuss the integration ... internal formats, such as account , payer , and contact . Defining a Canonical Data Model is often ... data integrity. See also Canonical Schema pattern Enterprise Application Integration Enterprise ... http blogs.forrester.com mike gilpin 10 03 15 field first annual canonical model management forum Forrester Research, Canonical Model Management Forum http blogs.msdn.com b nickmalik archive 2007 06 12 canonical model canonical schema and event driven soa.aspx Canonical Model, Canonical Schema, and Event Driven SOA http blogs.forrester.com mike gilpin 11 05 27 canonical information modeling a best practice for soa Forrester Research, Canonical Information Modeling Categories Category Enterprise ... more details
self published date October 2011 Canonical XML is a Canonical form normal form of XML , intended to allow relatively simple comparison of pairs of XML documents for equivalence for this purpose, the Canonical XML transformation removes non meaningful differences between the documents. Any XML document can be converted to Canonical XML. For example, XML permits whitespace to occur at various points within start tags, and attributes to be specified in any order. Such differences are seldom if ever used to convey meaning, and so these forms are generally considered equivalent < p class a secure 1 < p secure 1 class a In converting an arbitrary XML document to Canonical XML, attributes are encoded in a normative order alphabetical by name , and with normative spacing and quoting. Thus, the second form above would be converted to the first. Canonical XML specifies a number of other details, some of which are the UTF 8 encoding is used line ends are represented using the character 0x0A whitespace in attribute values is normalized entity references are expanded CDATA marked sections are not used empty elements are encoded as start end pairs, not using the special empty element syntax default attributes are made explicit superfluous namespace declarations are deleted Converting a document to Canonical XML is idempotent . That is, the first conversion usually will result in a different ... to the W3C , if two XML documents have the same canonical form, then the two documents are logically ... logical equivalence with which Canonical XML is associated. For example, a steganography system could ... to Canonical XML would lose those specialized semantics. On the other hand, XML files that differ ... be considered equivalent for certain purposes. Such contexts are beyond the scope of Canonical XML. See also XML Signature External links http www.w3.org TR xml c14n W3C Recommendation, Canonical XML ... Category XML based standards ja Canonical XML sv Canonical XML zh Canonical XML ... more details
Unreferenced date March 2009 In mathematics , a canonical connection of a holomorphic vector bundle with a Hermitian structure , is the unique metric connection D, such that the part which increases the anti holomorphic type D annihilates holomorphic sections. Category Complex manifolds differential geometry stub ... more details
In mathematics, canonical singularities appear as singularities of the canonical model of a projective variety , and terminal singularities are special cases that appear as singularities of Minimal model program minimal models . They were introduced by harvtxt Reid 1979 . Terminal singularities are important in the minimal model program because smooth minimal models do not always exist, and thus one must allow certain singularities, namely the terminal singularities. Definition Suppose that Y is a normal variety such that its canonical class K sub Y sub is Q Cartier, and let f X Y be a resolution of the singularities of Y . Then math displaystyle K X f K Y sum i a iE i math where the sum is over .... Then the singularities of Y are called terminal if a sub i sub 0 for all i canonical if a sub i sub &ge 0 for all i log terminal if a sub i sub &minus 1 for all i log canonical if a sub i sub &ge &minus 1 for all i . Properties The singularities of a projective variety V are canonical if the variety is normal variety normal , some power of the canonical line bundle of the non singular part ... resolution of its singularities. V has canonical singularities if and only if it is a relative canonical model . The singularities of a projective variety V are terminal if the variety is normal variety normal , some power of the canonical line bundle of the non singular part of V extends to a line ... classified by harvtxt Mori 1985 . Two dimensional canonical singularities are the same as du Val ... to quotients of C sup 2 sup by finite subgroups of GL sub 2 sub C . Two dimensional log canonical ... coefficients. The pair is called terminal if Discrep X , 0 canonical if Discrep X , 0 klt Kawamata ... 1 lc log canonical if Discrep X , &minus 1. References Citation last1 Koll r first1 J nos title Minimal ... & Noordhoff location Alphen aan den Rijn mr 605348 year 1980 chapter Canonical 3 folds pages ... Proc. Sympos. Pure Math. mr 927963 year 1987 volume 46 chapter Young person s guide to canonical singularities ... 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
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