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
is the result of a Development of the Hebrew Bible canon developmental process , canonical criticism focuses on the final form of the text. Canonical criticism , sometimes called canon criticism or the canonical ... on the origins, structure and history of the text, canonical criticism looks at the meaning the text ... 180px Brevard Childs , who pioneered the canonical approach. Canonical criticism involves paying ... John N. Oswalt, Canonical Criticism A Review From A Conservative Viewpoint, Journal of the Evangelical ... concentrating authority in the canonical text, and not in the people or events out of which ... of the tradition have sought to hide their own footprints in order to focus attention on the canonical text itself and not on the process. ref Brevard S. Childs, The Canonical Shape of the Prophetic Literature, Interpretation 32 1978 p. 53. ref However, Childs refuses to speak of canonical ... method . ref name Introduction82 Origins Bible related Canonical criticism is a relatively new approach ... set out his canonical approach in his Biblical Theology in Crisis 1970 and applied it in Introduction to the Old Testament as Scripture 1979 . The phrase canonical criticism was first used by James .... ref Childs, Canonical Shape, p. 54. ref blockquote Canonical criticism arose as a reaction to other ... Testament , 90. ref Sanders argues that canonical criticism is biblical criticism s self critical ... extent. ref James A. Sanders, Canon and Community A Guide to Canonical Criticism Fortress, 1984 , p ... communities of today blockquote Canonical criticism might be seen in metaphor as the beadle bedelos ... canonical criticism and the New Criticism of T. S. Eliot and others. Both schools of thought ... Testament , 144. ref Criticism The canonical approach has been criticised by scholars from both ... hand, object to the way canonical criticism bypasses vexed questions relating to the historical validation of revelation. ref Oswalt, Canonical Criticism, 325. ref Oswalt suggests that canonical ... more details
Canonical order may refer to in the context of sorting , a standard order theory order , typically a total order , obeying certain rules, e.g. lexicographic order for string computer science strings a monastic order of regular canon http www.aedificium.org Glossary.html See also Canonicalization dab ... more details
Canonical Theory also named the canonical form is a molecular theory developed by Joel E. Keizer and coworkers which claims to explain many physical, chemical, and biological processes in an unified and canonical way. Ronald F. Fox and Keizer showed the application of the canonical theory to chaos. ref cite web url http www.cscs.umich.edu crshalizi reviews keizer chaos papers note.html title Canonical Theory in Chaotic Dynamics publisher cscs.umich.edu author Shalizi, Cosma ref Keizer used the canonical form for the first formulation of statistical thermodynamics valid in far from equilibrium regimes, where the Onsager reciprocal relations and the Einstein formula for the fluctuations do not work. ref cite web url http www.uv.es EBRIT macro macro 5006 24 47.html title Principles of Thermodynamics Nonequilibrium thermodynamics STATISTICAL NONEQUILIBRIUM THERMODYNAMICS SYSTEMS FAR FROM EQUILIBRIUM publisher Encyclopaedia Britannica, Inc author J.E.K ref Keizer also provided fluctuating generalizations of the Boltzmann equation and of hidrodynamics fluctuating hydrodynamics . The applications of his work to biology are the reason that he was considered as one of the pioneers in the field of computational biology. Cosma Shalizi wrote blockquote Chapter five applies the canonical theory to various chemical and electrochemical processes. There is a detailed comparison of a model based on the formalism to actual experimental data for a calcium regulated potassium channel in muscle cells, yielding remarkably close agreement especially since the channel is really just a single molecule ... Keizer was, until his premature death in May, 1999, an active and talented scientist who played a significant role not merely in the development of the formal structure of far from equilibrium ... topics as chemical reactions, hydrodynamics, or heat transport in solids, the canonical theory ... ABOUT THE CONSERVATION EQUATIONS IN STOCHASTIC CANONICAL THEORY publisher phys.uaic.ro author OPRI AN ... more details
P P n 1 math , called the n canonical map. The size of R is a basic invariant of V , and is called ... Proof of the Finite Generation of the Canonical Ring last1 Siu first1 Yum Tong year 2006 ... of the Canonical Ring last1 Siu first1 Yum Tong year 2007 Category Algebraic geometry Category ... more details
refimprove date August 2011 In mathematics and mathematical economics, correspondence is a term with several related but not identical meanings. In general mathematics , a correspondence is an ordered triple X , Y , R , where R is a binary relation relation from X to Y , i.e. any subset of the Cartesian product X Y . ref cite book title Encyclopedic dictionary of Mathematics publisher MIT pages 1330 1331 year 2000 isbn 0 262 59020 4 url http books.google.co.uk books?id azS2ktxrz3EC&pg PA1331&hl en&sa X&ei glo6T PmC9Ow8QPvwYmFCw&ved 0CGIQ6AEwBg v onepage&f false ref anchor algebraic geometry In algebraic geometry , a correspondence between algebraic variety algebraic varieties V and W is in the same fashion a subset R of V × W , which is in addition required to be closed in the Zariski ... form theory may be considered as correspondences of modular curve s. However, the definition of a correspondence .... In literature, however, a correspondence from a variety X to a variety Y is often taken to be a subset ... in this latter definition which talks about a correspondence from X to Y rather than a correspondence between X and Y . The typical example of the latter kind of correspondence is the graph of a function ... theory , a correspondence from math C math to math D math is a functor math C op times D to mathbf Set math . It is the opposite of a profunctor . One to one correspondence is an alternate name for a bijection . In von Neumann algebra theory, a correspondence is a synonym for a von Neumann algebra bimodule. In economics , a correspondence between two sets A and B is a map mathematics map f A P B from the elements of the set A to the power set of B . This is similar to a correspondence as defined ... R as subset of A × B , R projects to A surjective ly. A correspondence with this additional ... of a correspondence in this sense is the best response correspondence in game theory , which gives ... opponent s strategy, there is a set of best responses that are equally good, then this is a correspondence ... more details
About correspondence rules in quantum physics their role in philosophy of science Carnap Ramsey sentences Unreferenced auto yes date December 2009 Expert subject physics date November 2008 In quantum mechanics , correspondence rules refers to the principle of replacing physical quantities with Operator mathematics operators . Such replacements include energy and momentum, which can be derived informally from taking the time and space derivities of the plane wave function. These show a similarity to the heisenberg uncertainty principle . Examples of correspondence rules class wikitable quantity operator See equation Energy Hamiltonian quantum mechanics Hamiltonian math i hbar frac partial partial t math Sc Momentum math i hbar nabla math Continuity equation See also Portal Physics Physics DEFAULTSORT Correspondence Rules Category Quantum mechanics Category Rules Quantum stub ... more details
Unreferenced date July 2011 Infobox Album See Wikipedia WikiProject Albums Name Correspondence Type studio Longtype LP Artist Peter Godwin singer Peter Godwin Cover Peter Godwin Correspondence.jpeg Released 1983 Recorded Genre Pop music Pop Length Label Polydor Records Producer Georg Kajanus Reviews Last album Images Of Heaven Peter Godwin album Images Of Heaven br 1982 This album Correspondence br 1983 Next album Images Of Heaven The Best Of Peter Godwin br 1998 Correspondence is the first full length studio album by Peter Godwin singer Peter Godwin . The album was released in 1983. Track listing All songs written by Peter Godwin unless otherwise noted Baby s In The Mountains The Art of Love Window Shopping Soul to Soul Young Pleasure The Dancer Correspondence Over Twenty One Georg Kajanus Soul of Love Category 1983 albums Category Peter Godwin albums Category Polydor Records albums ... more details
Unreferenced stub auto yes date December 2009 A canonic election is a legal valid election based on the jurisdiction of a canon law canonic legal system . Canonic legal systems are of democratic structure, but more complicated than ordinary state structures. One example for a canonic election would be the election of a pope by the cardinals in the Papal conclave conclave . DEFAULTSORT Canonical Election Category Canon law Election stub ... more details
Canonical hours are divisions of time which serve as increments between the prescribed prayer s of the daily ... . In western Roman Catholic Church Catholicism , canonical hours may also be called offices , since ... note and among likewise Byzantine Rite Eastern Catholic Churches Catholics ref the canonical hours ... the Hours. With the Cluniac reforms of the 11th century there was a new emphasis on liturgy and the canonical .... Already well established by the ninth century in the West, these canonical offices consisted .... Development Judaism and the Early Church As is noted above, the canonical hours stemmed from Jewish ... 4 23 30 , which has remained a part of the canonical hours and all Christian prayer since. By 60 AD ... s Prayer three times a day this practice found its way into the canonical hours as well. Pliny ... A sundial showing the four Tide time Tides and five Canonical hours, based on the example on the Bewcastle ... in daily life in monastery monasteries . By the fourth century, the characteristics of the canonical ..., the breviary contained the entire text of the canonical hours. Roman Rite since the Council of Trent ... of the canonical hours and sought to make them more suited to the needs of today s apostolate ... four week cycle of praying nearly the entire set of Psalms with each of the canonical hours ... are said by the Bishop for the Canonical Hours, this differs little from what is in the Priest s Service ... and special occasions. In the Slavic usage, the Evang lion contains the four gospels in canonical ... for the day are read therein ref group note The Typica has a certain correspondence to the Missa ... the tomb and carried to the altar. Aggregates Aggregate liturgy redirects here The sundry Canonical .... Oriental Orthodox usage Coptic usage The Coptic Orthodox Church of Alexandria Coptic cycle of canonical ... Horologion is the Agpeya . Seven canonical hours exist, corresponding largely to the Byzantine ... the Shhimo , simple prayer. The shhimo has offices for the canonical hours for each day of the week ... more details
Orphan date February 2012 Business correspondence is the communication or exchange of information in a written format for the process of business activities.Business correspondence can take place between organizations, within organizations or between the customers and the organization.The correspondence is generally of widely accepted formats that are followed universally. ref cite book title Merriam Webster s guide to business correspondence. year 1993 publisher Merriam Webster location Springfield, Mass. isbn 0 87779 131 7 ref Need for written communication Maintaining a proper relationship. Serves as evidence. Create and maintain goodwill . Inexpensive and convenient. Formal communication. Independent of interpersonal skills . ref cite book last Thomas first L. Sue Baugh Maridell Fryar David A. title How to write first class business correspondence the handbook for business writing year 1996 publisher NTC Publ. Group location Lincolnwood, Ill isbn 0 8442 3405 2 edition 1996 printing. ref Types of Business correspondence Business letters Business letters are the most formal method of communication following specific formats. They are addressed to a particular person or organisation.A good business letter follows the seven C s of communication .The different types of business letters used based on their context are as follows, Letters of enquiry Letters of claim complaints Letters of application Letters of approval dismissal Letters of recommendations Letters of sales. Official letters can be handwritten or printed.Modernisation has led to the usage of new means of business correspondence such as E mail and Fax. ref cite book last McLean first Scott title Business communication for success year 2010 publisher Flat World Knowledge location Nyack, NY isbn 978 0 9823618 5 6 ref E mail Email is the least formal method of business communication.It is the most widely used method of written communication usually done in a conversational style. Memorandum Memorandum is a document ... more details
In Hamiltonian mechanics , a canonical transformation is a change of canonical coordinates q , p , t   ... Hamiltonian itself. This is sometimes known as form invariance . Canonical transformations are useful ... are a type of canonical transformation. However, the class of canonical transformations is much broader ... coordinates and momenta. Canonical transformations that do not include the time explicitly are called restricted canonical transformations many textbooks consider only this type . For clarity ... read the related symplectomorphism article. Canonical transformations are a special case of a symplectomorphism ... between q , p and Q , P we may check if the transformation is restricted canonical, as follows ... p cdot frac partial mathbf p partial P m math If the transformation is canonical, these two must ... a given transformation is canonical. Liouville s theorem The direct conditions allow us to prove ... is conserved under canonical transformations, i.e., math int d mathbf q d mathbf p int d mathbf Q ..., the scaling factor math lambda math is set equal to one canonical transformations for which math lambda neq 1 math are called extended canonical transformations . math frac dG dt math is kept, otherwise the problem would be rendered trivial and there would be not much freedom for the new canonical ... function of one old canonical coordinates canonical coordinate math mathbf q math or math mathbf p math , one new canonical coordinates canonical coordinate math mathbf Q math or math mathbf P math ... from old to new canonical coordinates , and any such transformation math mathbf q , mathbf p rightarrow mathbf Q , mathbf P math is guaranteed to be canonical. Type 1 generating function The type ... and the old canonical coordinates math mathbf q , mathbf p math . Ideally, one can invert these relations to obtain formulae for each math Q k math as a function of the old canonical coordinates. Substitution ... generalized momenta math mathbf P math in terms of the old canonical coordinates math mathbf q ... more details
for the problem in theory of computation Post correspondence problem The correspondence problem tries to figure out which parts of an image correspond to which parts of another image, after the camera has moved, time has elapsed, and or the objects have moved around. Overview Given two or more images of the same 3D scene, taken from different points of view, the correspondence problem is to find a set of points in one image which can be identified as the same points in another image. To do this, try to match points or features from one image with the same points or features in another image. The images can be taken from a different point of view, at different times, and with objects in the scene in general motion relative to the camera s . The correspondence problem typically occurs when two images of the same scene are used, the stereo correspondence problem. This concept can be generalized to the three view correspondence problem or, in general, the N view correspondence problem. In the general ... application of the correspondence problem occurs in panorama creation or image stitching ... In computer vision the correspondence problem is studied for the case when a computer should solve it automatically with only images as input. Once the correspondence problem has been solved, resulting in a set of image points which are in correspondence, other methods can be applied to this set ... Simple Example To find the correspondence between set A 2,4,6,1,5 and set B 8,0,2,4 find where they overlap ... in the other image. When you find the best fit the difference in image location is the correspondence .... In A Bayesian Treatment of the Stereo Correspondence Problem Using Half Occluded Regions, P. Belhumeur ... S. Ogale and Yiannis Aloimonos year October 2005. title Shape and the stereo correspondence problem ... year 1992 title A Bayesian Treatment of the Stereo Correspondence Problem Using Half Occluded Regions .... A Taxonomy and Evaluation of Dense Two Frame Stereo Correspondence Algorithms. PDF Stereoscopy Category ... more details
In mathematical physics , the twistor correspondence is a natural transformation natural isomorphism between mass less Yang Mills field s on Minkowski space and sheaf cohomology classes on a real hypersurface of complex projective space CP sup 3 sup . Category Mathematical physics Math stub ... more details
Statistical mechanics cTopic Statistical ensemble mathematical physics Ensembles The canonical ensemble ... mechanics partition function of the canonical ensemble. Specifying this dependence of math Z math ... p i math above. The canonical ensemble and its partition function is widely used as a tool to calculate ... elements of the canonical ensemble. Other related thermodynamic formulas are given in the partition ..., the canonical ensemble is known as the Gibbs measure , where, because it has the Markov property of statistical ... E i , math . This distribution is called the canonical distribution. To determine math alpha , math ... function for the canonical ensemble. Note on derivation As mentioned above, the derivation hinges ... multiplicities of the reservoir the same can be said for the grand canonical ensemble ... this approach is employed. The canonical ensemble is also called the Gibbs ensemble , in honor of Willard ...... the phase space density in modern language ... is called canonical... if the index of probability ... math P e frac E A kT , math is taken to define the canonical ensemble and to be the fundamental ... the canonical ensemble, but this is part of his demonstration Gibbs, pp 169 183 that the principle of equal a priori probabilities, therefore the microcanonical ensemble, are inferior to the canonical ... mechanics, where the canonical ensemble is defined as the probability measure math e E A over kT dp , dq math with p and q being the canonical coordinates. Characteristic state function The characteristic state function of the canonical ensemble is the Helmholtz free energy function, as the following ... the canonical partition function, one can easily obtain the corresponding results for a canonical ensemble ... Q is the quantum mechanical version of the canonical partition function. Putting C back into the equation ... counterpart of the canonical partition function, being the normalization factor for the mixed state of interest. The density operator obtained above therefore describes the mixed state of a canonical ... more details
A canonical cover F sub c sub for F a set of functional dependencies on a relation scheme is a set of dependencies such that F logically implies all dependencies in F sub c sub , and F sub c sub logically implies all dependencies in F. The set F sub c sub has two important properties No functional dependency in F c contains an extraneous attribute. Each left side of a functional dependency in F c is unique. That is, there are no two dependencies a b and c d in F sub c sub such that a c. Algorithm for computing a canonical cover nowiki F sub c sub F Repeat Use the union rule to replace any dependencies in F sub c sub of the from a b and a d with a bd. Find a functional dependency in F sub c sub with an extraneous attribute and delete it from F sub c sub until F c does not change nowiki ref Database system concepts by Abraham Silberschatz et al ref References reflist Category Database theory Category Mathematical concepts Category Algorithms and data structures ... more details
A canonical territory is a geographical area seen as belonging to a particular patriarchate or autocephalous Church as its own. The concept is found both in the Eastern Orthodox Church and in the Roman Catholic Church , and is mentioned extensively in the Code of Canons of the Eastern Churches . ref Examples of canons of this code that speak of the canonical territory of an autonomous Church are 57, 78, 86, 102, 132, 133, 138 140, 143, 146 150, ... ref Historical background Canons of the Apostles See Canons of the Apostles Bishop Hilarion Alfeyev asserts that blockquote t he model of church organization that was formed during the first three centuries of Christianity was based on the principle of one city one bishop one Church , which foresaw the assignment of a certain ecclesiastical territory to one concrete bishop. In accordance with this principle, the Canons of the Apostles and other canonical decrees of the ancient Church point to the inadmissibility of violating the boundaries of ecclesiastical territories by bishops or clergy. blockquote ref name Alfeyev cite web title One City, One Bishop, One Church work The Principle of Canonical Territory and the Appearance of Parallel Hierarchies url http www.orthodoxytoday.org articles6 HilarionOneBishop.php ref The Canons ref name Alfeyev .... Present situation The issue of canonical territory has proven to be a significant point of dispute ... church unity r c t e.htm title Canonical Territory in the Russian Orthodox Tradition ref Eastern ... synod elects bishops for the patriarchate s canonical territory, while bishops who head eparchy ... www.intratext.com IXT LAT0758 PM.HTM Code of Canons of the Eastern Churches, canon 181 ref Canonical ... with canonical territory have often given rise to the problem of phyletism , which is defined ... of Canonical Territory and the Appearance of Parallel Hierarchies url http www.orthodoxytoday.org ... DEFAULTSORT Canonical Territory Category Canon law Catholic Church Category Christian terms ... more details
In number theory , the Shimura correspondence is a correspondence between modular form s F of half integral weight k 1 2, and modular forms f of even weight 2 k , discovered by harvs txt authorlink Goro Shimura first Goro last Shimura year 1973 . It has the property that the eigenvalue of a Hecke operator T sub n sup 2 sup sub on F is equal to the eigenvalue of T sub n sub on f . References eom id S s130280 first D. last Bump Citation last1 Shimura first1 Goro title On modular forms of half integral weight jstor 1970831 mr 0332663 year 1973 journal Annals of Mathematics Annals of Mathematics. Second Series issn 0003 486X volume 97 pages 440 481 Category Modular forms ... more details
Out of date date November 2010 Canonical age in Canon law Catholic Church Roman Catholic canon law is an age one must reach, counting from birth, when one becomes capable of incurring certain obligations, enjoying special privileges, embracing special states of life, holding office or dignity, or receiving the sacraments. Each of these human acts requires a development of mind, body, or spirit appropriate to its free and voluntary acceptance and an adequate knowledge of, and capacity for, the duties and obligations attached. The ages prescribed by canon law differ, as do the privileges, offices, and dignities to which they apply. Sacraments Baptism can be validly administered regardless of age. For confession , the canonical age is seven, the Age of reason canon law age of reason , when a child is nominally supposed to be capable of mortal sin and being bound by the law of annual confession. Christians should receive Holy Communion when they have attained the age of discretion. There is much controversy as to what that age is precisely. Children in danger of death, capable of committing and confessing to mortal sin, and of distinguishing heavenly from ordinary food, when desirous of receiving Holy Communion, must not be denied it, although they may not have achieved the minimum age prescribed. Extreme unction is to be administered to a child of seven years or younger, who is capable of sin. Children of seven years are bound by the laws of abstinence and of hearing Mass. They can also be sponsors in the conferring of baptism and confirmation but the Roman Ritual says that it is more expedient that they should be fourteen years old and confirmed. Twelve years is generally recommended ... day of the year in which the canonical age is to be reached is sufficiently timely for the reception .... External links http www.newadvent.org cathen 01206c.htm Catholic Encyclopedia Canonical Age of historical value only Catholic DEFAULTSORT Canonical Age Category Canon law Catholic Church de Kanonisches ... more details
Orphan date February 2009 Cleanup date April 2007 Canonical admonitions are a preliminary means used by the Roman Catholic Church towards a suspected person, as a preventive of harm or a remedy of evil. History The 1880 instruction, by direction of Pope Leo XIII , from the Congregation of Bishops and Regulars to the bishop s of Italy , gave them the privilege to use a summary procedure in trials of the clergy for criminal or disciplinary transgressions. Article IV decrees Among the preservative measures are chiefly to be reckoned the spiritual retreat, admonitions, and injunctions. Article VI The canonical admonitions may be made in a paternal and private manner even by letter or by an intermediary person , or in legal form, but always in such a way that proof of their having been made shall remain on record. Usage These admonitions are to be founded upon a suspicion of guilt that is excited by public rumor and investigated by a proper authority, with the result establishing a reasonable basis for the suspicion. If little foundation for the suspicion is discovered, the superior should not even admonish the person, unless the suspected person has given, on previous occasions, serious motive for faultfinding. Admonitions may be either paternal or legal canonical . If the grounds are such as to produce a serious likelihood, or half proof , they will suffice for a paternal admonition, which is administered after the following steps The prelate either personally or through a confidential delegate informs the suspected person of what has been said about him or her, without mentioning the source of information, and without threat, but urges amendment. If the suspected party can at once show that there is no basis for suspicion, nothing further is to be done in the matter. If his ... for the above mentioned canonical or legal admonition. The assumed half proof is strengthened .... http www.newadvent.org cathen 01144b.htm Canonical Admonitions at Catholic Encyclopedia Category ... more details
In theology , correspondence is the relationship between spiritual and natural realities, or between mental and physical realities. Correspondence and esotericism Pierre A. Riffard ref Pierre A. Riffard , Dictionnaire de l sot risme , Paris Payot, 1983, 34. ref The doctrine of analogy and correspondence, present in all esoteric schools of thinking, upholds that the Whole is One and that its different levels realms, worlds are equivalent systems, whose parts are in strict correspondence. So much so that a part in a realm symbolically reflects and interacts with the corresponding part in another realm. For instance, the Sun in the mineral realm is the counterpart of the Lion in the animal realm. The relation between A and B is similar to the relation between C and D. The microcosm and macrocosm are analogous, that is, equivalent, similar in their structures, even though they are outwardly dissimilar. The parts are in strict correspondence, closely knit together and closely interacting thus feet pisces, veins rivers. According to Robert Fludd Utriusque Cosmic Historia , II , Man is a whole world of its own, called microcosm for it displays a miniature pattern of all the parts of the universe. Thus the head is related to the Empyreal, the chest to the ethereal heaven and the belly to the elementary ... one is Correspondence. Symbolic and real correspondences there is no room for abstractions here are said ... correspondence between the natural world and the invisible departments of the celestial and supercelestial ... MC&pg PA12&lpg PA12&dq 22antoine faivre 22 correspondence between&source bl&ots 3cfTZ54cSd ... 1758 and other works. Swedenborg states that there is a correspondence between, for example thought .... Correspondence is a causal relationship i.e., thought is the cause of speech, intention is the cause of action . The correspondence between spiritual and natural things extends to all objects in the physical ... Reflist 2 DEFAULTSORT Correspondence Theology Category Theology fr Analogies et correspondances ... more details