A hierarchy Greek hierarchia , from hierarch es, leader of sacred rites is an arrangement of items ..., or at the same level as one another. Abstractly, a hierarchy is simply an ordered set or an acyclic directed graph . A hierarchy sometimes abbreviated HR can link entities either directly or indirectly, and either vertically or horizontally. The only direct links in a hierarchy, insofar as they are hierarchical ... a path graph theory path . All parts of the hierarchy which are not linked vertically to one another nevertheless can be horizontally linked through a path by traveling up the hierarchy to find a common ... forms exist that are both alternative and complimentary to hierarchy. Heterarchy sometimes abbreviated ... special vocabulary. These terms are easiest to understand when a hierarchy is diagrammed see Visualization below . The generic hierarchy uses the following terms ref name Dawkins ref name Architecture ... the arrangement of the ranks or levels Hierarchy the arrangement of a particular set of ranks ... all of the objects at one level Superior hierarchy Superior a higher level or an object ranked at a higher ... level child or descendent wikt Hierarch Hierarch , the top level of the hierarchy, usually consisting ... hierarchy per WP R PLA, this SHOULD be bold , the maximum degree is 1. ref name Dawkins In other ... and not the levels every hierarchy has this property with respect to levels, but normally each level can have an infinite number of objects. An example of a linear hierarchy is the hierarchy of life . In a branching hierarchy per WP R PLA, this SHOULD be bold , one or more objects has a degree ..., the word hierarchy automatically evokes an image of a branching hierarchy. ref name Dawkins Branching ... hierarchy per WP R PLA, this SHOULD be bold is a branching hierarchy in which the maximum degree ... have at most a moderate span. Therefore, a flat hierarchy is often not viewed as a hierarchy at all at first blush. For example, diamond s and graphite is a flat hierarchy of numerous carbon ... more details
Hierarchy of Angels can be found in the angelology of different religious traditions Christian angelic hierarchy Jewish angelic hierarchy Islamic view of angels Angel hierarchy Islamic angelic hierarchy Yazata Zoroastrian angelic hierarchy disambig ... more details
Other uses hierarchy disambiguation Unreferenced date December 2007 In mathematics , a hierarchy is a preorder , i.e. an ordered set. The term is used to stress a natural hierarchical relation among the elements. In particular, it is the preferred terminology for poset s whose elements are class set theory classes of objects of increasing complexity . In that case, the preorder defining the hierarchy is the class containment relation. Containment hierarchy Containment hierarchies are thus special cases of hierarchies. Related terminology Individual elements of a hierarchy are often called levels and a hierarchy is said to be infinite if it has infinitely many distinct levels but said to collapse if it has only finitely many distinct levels. Example In theoretical computer science , the time hierarchy is a classification of decision problem s according to the amount of time required to solve them. See also col begin col break Order theory Tree structure Lattice mathematics Lattice Polynomial hierarchy Chomsky hierarchy Analytical hierarchy Arithmetical hierarchy Hyperarithmetical hierarchy col break Abstract algebraic hierarchy Borel hierarchy Wadge hierarchy Difference hierarchy Tree data structure Tree graph theory Tree network Tree descriptive set theory Tree set theory col end Category Hierarchy math stub ... more details
Unreferenced date November 2007 A moral hierarchy is a hierarchy by which actions are ranked by their morality , with respect to a moral code . The notion of a moral hierarchy tends to be thin and untenable in cases spanning multiple cultures, because moral codes are not equal, or that certain codes are Moral superiority superior to others. Philo stub Category Morality Category Ethics ... more details
Religious hierarchy may refer to Hierarchical organization , hierarchical structure as applied to all organizations, including religions Religious stratification , the stratification of society based on religious beliefs or other faith based considerations See also Hierarchy dab ... more details
In linguistic typology , the case hierarchy states grammatical cases in order of their prominence. It should therefore be concluded that a language which makes use of any given case will also make use of all the cases which are higher further left on the hierarchy. An example hierarchy The following example shows a basic hierarchy for a language with a nominative accusative alignment. nominative accusative genitive dative Instrumental case instrumental prepositional See also Differential Object Marking External links http www.latrobe.edu.au linguistics LaTrobePapersinLinguistics Vol 2005 01Blake.pdf Category Linguistic typology ... more details
wiktionarypar hierarchy A hierarchy is an arrangement of units into related levels of different weights or ranks, meaning that levels are considered higher or lower than one another. The term, which originally meant rule by priests , is now generalised and describes systems with a linear concept of wikt subordinate subordinates and wikt superior superiors and where each level has only 1 direct parent level. Hierarchies are typically depicted as a tree structure s. Hierarchy may also refer to Hierarchy mathematics , the mathematical model of a hierarchical structure as an ordered set Containment hierarchy , a hierarchy of only strictly nested sets Hierarchy object oriented programming , also known as inheritance, the creation of new classes from existing classes Hierarchical database model , a tree like database model Hierarchical query , an SQL query on a hierarchical database Hierarchical linear modeling , multi level statistical analysis and linear regression Hierarchical organization , the structure of most organizations, including governments, businesses and organized religions Catholic Church hierarchy Hierarchical network , the hierarchical of computer network components Hierarchical control system , a layered model for component organization in software and robotics Dominance hierarchy , an intraspecific ordering of individuals or groups by power status and dominance Social hierarchy , the concept as applied to humans Memory hierarchy , the hierarchical organization of computer storage for analysis of performance issues Hierarchy of life , the biological organisation of all life from the atomic level to the biosphere Hierarchy of genres , any formalization that ranks different types of art genres in an art form in terms of their value Hierarchy of values , an ordered list of social values in US law Hierarchy, an alien race in the Universe at War video game series See also Tree structure disambig io Hierarkio homonimo uk ... more details
orphan date December 2007 The Gastronomic hierarchy is a philosophy in Gastronomy that associates a particular title with individuals that enjoy food and drink. At the bottom of the hierarchy is the Goinfre or Greedy Guts and at the top is the Gastronome . The hierarchy is as follows Gastronome Gourmet A connoisseur of food and drink Epicure Friand Gourmand One who enjoys eating Goulu Glutton Goinfre Greedy guts See also Foodie References Schott, B. Schott s Food and Drink Miscellany , ISBN 0 7475 6654 2 food stub Category Food and drink appreciation Category Culinary Arts Category Gastronomy ... more details
Unreferenced date October 2009 A reverse hierarchy is a conceptual organizational structure that attempts to invert the classical pyramid of hierarchical organization hierarchical organisations . The concept was pioneered by the total quality management movement. The reverse hierarchy promotes the idea that the most important employees are those who deal daily with the organisations customers, i.e. those who would normally be at the bottom of the hierarchy. It is then the role of supervisors and managers normally higher in the hierarchy to support these employees and to remove the obstacles that hinder them in satisfying their customers needs. Thus the more senior people are actually lower in the inverted pyramid, as they have more people to support. Some organisations claim to be operating in this way when in fact all that has happened is that the organisation chart has been drawn in an inverted fashion. Weasel inline date October 2009 DEFAULTSORT Reverse Hierarchy Category Management Category Theory of constraints org stub ... more details
In computational complexity theory , the exponential hierarchy is a hierarchy of complexity class es, starting with EXPTIME math rm EXPTIME bigcup k in mathbb N mbox DTIME left 2 n k right math and continuing with math mbox 2 EXPTIME bigcup k in mathbb N mbox DTIME left 2 2 n k right math math mbox 3 EXPTIME bigcup k in mathbb N mbox DTIME left 2 2 2 n k right math and so on. We have P complexity P EXPTIME 2 EXPTIME 3 EXPTIME . Unlike the analogous case for the polynomial hierarchy , the time hierarchy theorem guarantees that these inclusions are proper that is, there are languages in EXPTIME but not in P, in 2 EXPTIME but not in EXPTIME and so on. The union of all the classes in the exponential hierarchy is the class ELEMENTARY . References Computational Complexity . Addison Wesley, 1994. pp 497 498 ComplexityClasses DEFAULTSORT Exponential Hierarchy Category Complexity classes it Gerarchia esponenziale zh ... more details
Belokrinitskaya Hierarchy is the first full and stable church hierarchy created by the Old Believers . The hierarchy was created in 1846 by acceptance of the Greek Metropolitan bishop Metropolitan Ambrose. The hierarchy is called after the name of the see of the First Hierarch Bila Krynytsia, Chernivtsi Oblast Belaya Krinitsa , Bukowina, in Austria Hungary currently West Ukraine . Major sponsorship for organizing this hierarchy search for a metropolitan, organizing the necessary facilities, smuggling of candidates for priesthood etc. through the Russian border in both directions came also from the Russia n Old Believers merchant families, such as Ryabushinskie and Morozovy . Therefore the hierarchy was immediately accepted in Moscow especially at the Rogozhskoe cemetery . Those who could not accept the hierarchy continued to accept priests from the Russian Orthodox State Church who had denounced the novelties of Patriarch Nikon. These Old Believers remained Beglopopovtsy . The Orthodox Old Rite Church in earlier times called Lipovan Orthodox Old Rite Church with jurisdiction all over the world and Russian Orthodox Old Rite Church constitute this hierarchy. The First Hierarch of the Belokrinitskaja Hierarchy Orthodox Old Rite Church nominally has the seat of his ecclesiastical See in Bila Krynytsia, Chernivtsi Oblast Bila Krynytsya , a small village that lies in southwest Ukraine , just north of the border with Romania . In practice, the current incumbent, Bishop Leonty, discharges his duties from Br ila , a city on the lower Danube . See also Old Believers References http www.hiddeneurope.co.uk barticle info.php?articles id 236 hidden europe report 8 August 2006 External links http www.rpsc.ru Official web site Russian http www.altaistar.ru Old Believers of Altai official site of the Barnaul Parish Russian Orthodox Old Rite Church http www.samstar.ru document 39 Presentation Russian http www.orthodoxwiki.org Russian Orthodox Oldritualist Church OrthodoxWiki Russian Orthodox ... more details
In computability theory , computational complexity theory and proof theory , the Hardy hierarchy , named after G. H. Hardy , is an ordinal indexed family of functions h sub sub N N where N is the set of natural numbers , 0, 1, ... . It is related to the fast growing hierarchy and slow growing hierarchy . The hierarchy was first described in Hardy s 1904 paper, A theorem concerning the infinite cardinal numbers . Definition Let be a large countable ordinal such that a fundamental sequence ordinals fundamental sequence is assigned to every limit ordinal less than . The Hardy hierarchy of functions h sub sub N N , for , is then defined as follows math h 0 n n, , math math h alpha 1 n h alpha n 1 , , math math h alpha n h alpha n n , math if is a limit ordinal. Here n denotes the n sup th sup element of the fundamental sequence assigned to the limit ordinal . A standardized choice of fundamental sequence for all sub 0 sub is described in the article on the Fast growing hierarchy The Wainer hierarchy fast growing hierarchy . Caicedo 2007 defines a modified Hardy hierarchy of functions math H alpha , math by using the standard fundamental sequences, but with n 1 instead of n in the third line of the above definition. Relation to fast growing hierarchy The fast growing hierarchy Wainer hierarchy of functions f sub sub and the Hardy hierarchy of functions h sub sub are related by f sub sub h sub sup sup sub for all sub 0 sub . Thus, for any sub 0 sub , h sub sub grows much more slowly than does f sub sub . However, the Hardy hierarchy catches up to the Wainer hierarchy at sub 0 sub , such that f sub sub 0 sub sub and h sub sub 0 sub sub have the same growth rate, in the sense that f sub sub 0 sub sub n 1 h sub sub 0 sub sub n f sub sub 0 ... Computability theory Category Proof theory Category Hierarchy of functions ... more details
Image ComputerMemoryHierarchy.svg thumb right 256px Diagram of the computer memory hierarchy See also Computer data storage The term memory hierarchy is used in the theory of computation when discussing ... programming programming constructs such as involving locality of reference . A memory hierarchy in computer storage distinguishes each level in the hierarchy by response time. Since response time ... of the memory hierarchy, i.e. the size and technology of each component. So the various components can be viewed as forming a hierarchy of memories m sub 1 sub ,m sub 2 sub ,...,m sub n sub in which each member m sub i sub is in a sense subordinate to the next highest member m sub i 1 sub of the hierarchy ... general memory hierarchy structuring. Many other structures are useful. For example, a paging ... . Example use of the term Here are some quotes. Adding complexity slows down the memory hierarchy . ref Write combining ref CMOx memory technology stretches the Flash space in the memory hierarchy ref cite web title Memory Hierarchy url http www.unitysemi.com applications memory hierarchy.html ... system performance is minimising how far down the memory hierarchy one has to go to manipulate data. ref cite web title Multi Core url http www.pixelbeat.org docs memory hierarchy author P draig ... hierarchy. ref name sun Cite document first Ruud last van der Pas author link first2 last2 author2 link editor last editor first editor2 last editor2 first contribution Memory Hierarchy in Cache Based ... Predicting where in the memory hierarchy the data resides is difficult. ref name sun ...the location in the memory hierarchy dictates the time required for the prefetch to occur. ref name sun Application of the concept The memory hierarchy in most computers is Processor registers &ndash the fastest ... cache in the computer specifications sheet is reading about the internal memory hierarchy . This needs ... levels of the hierarchy. Citation needed date September 2009 As a result, the CPU spends much of its ... more details
they treated as white. sup 4 sup Herbert Gans suggests a transformation from the dual racial hierarchy ... explanations of racial hierarchy , by Steven J. Gold. Ethnic and Racial Studies Vol. 27 No. 6 November 2004 pp. 951 968. Discusses the nature of the racial hierarchy in the USA, contrasts the black ... 2009 05 29. Herbert J. Gans. The Possibility of a New Racial Hierarchy in the Twenty first century ... Language. Malden Blackwell Pub, 2000. Jacques, Martin. The Global Hierarchy of Race. Common Dreams News ... 2010 DEFAULTSORT Racial Hierarchy Category Racism Category Social inequality Category Hierarchy ... more details
Unreferenced stub auto yes date December 2009 In a hierarchy or tree structure of any kind, a superior is an individual or position at a higher level in the hierarchy than another a subordinate or inferior , and thus closer to the Apex geometry apex . It is often used in business terminology to refer to people who are supervisor s and in the military to people who are higher in the chain of command Superior Officer . Superiors are given, sometimes supreme, authority over others in the control. When an order is given, one must follow that order and obey it or punishment may be issued. A Religious Superior is the person to whom a cleric is immediately responsible under canon law . For monk s, it would be the Abbot or the Abbess for nun s for friar s, it would be the Prior , or, for Franciscans , the Guardian Custos for Diocese diocesan priests, it would be the local Bishop . In religious orders with a hierarchy above the local community, there will also be Superior general superiors general and possibly provincial superior s above the local abbot, prior, or Abbess Mother Superior . See also Parent node . DEFAULTSORT Superior Hierarchy Category Hierarchy Comp sci stub io Superioro pl Prze o ony ... more details
unreferenced date April 2008 Phonological hierarchy describes a series of increasingly smaller regions of a Phonology phonological utterance. From larger to smaller units, it is as follows Utterance Prosodic declination unit DU intonational phrase I phrase Prosodic prosodic unit intonation unit IU phonological phrase P phrase Prosodic list unit LU Clitic group Phonological word P word, Foot linguistics Foot F strong weak syllable sequences such as English ladder, button, eat it Syllable e.g. cat 1 , ladder 2 Mora linguistics Mora half syllable Segment phoneme e.g. k , and t in cat Distinctive feature Feature The hierarchy from the mora upwards is technically known as the Prosody linguistics prosodic hierarchy . There is some disagreement among phonologists on the arrangement and inclusion of units in the hierarchy. For example, the clitic group is not universally recognised, and the P phrase and IU come from different traditions and have different definitions. See also Syntactic hierarchy Category Phonology Category Prosody ling stub ar nn Det fonologiske hierarkiet ... more details
Noref date May 2011 In set theory , the difference hierarchy over a pointclass is a hierarchy mathematics hierarchy of larger pointclasses generated by taking complement set theory difference s of sets. If &Gamma is a pointclass, then the set of differences in &Gamma is math A exists C,D in Gamma A C setminus D math . In usual notation, this set is denoted by 2 &Gamma . The next level of the hierarchy is denoted by 3 &Gamma and consists of differences of three sets math A exists C,D,E in Gamma A C setminus D setminus E math . This definition can be extended recursively into the transfinite to &alpha &Gamma for some ordinal number ordinal &alpha . In the Borel sets Borel and projective set projective hierarchies , Felix Hausdorff proved that the countable levels of the difference hierarchy over &Pi sup 0 sup sub style margin left 0.6em &gamma sub and &Pi sup 1 sup sub style margin left 0.6em &gamma sub give &Delta sup 0 sup sub style margin left 0.6em &gamma 1 sub and &Delta sup 1 sup sub style margin left 0.6em &gamma 1 sub , respectively. settheory stub Category Descriptive set theory Category Mathematical logic hierarchies ... more details
A settlement hierarchy is a way of arranging Human settlement settlement s into a hierarchy based upon their population or some other criteria. The term is used by landscape history landscape historians and in the National Curriculum England, Wales and Northern Ireland National Curriculum ref http www.standards.dfes.gov.uk local secondary docs geo9.doc Geography, Year 8, Unit 9 ref for England . The term ... hierarchy can also depend on the sphere of influence. This is how far people will travel to use ... in settlement hierarchy. Example of a settlement hierarchy In this example, an isolated building ... Konstantinos Apostolos Doxiadis Doxiadis, Konstantinos Ekistics 1968 ref Note This settlement hierarchy ... as of 2010 as opposed to Doxiadis Ekistics Ekistic Units idealized settlement hierarchy for the year ... have negligible services, if any. Problems with concept of a settlement hierarchy Using size ..., there is no agreement as to the number of levels in the hierarchy or what they should be called ... legal definitions in different jurisdictions. Hierarchy and Status Position in an accepted settlement hierarchy implies status ref Michael Aston, Interpreting the Landscape Routledge, reprinted 1998, page 44 ref which in turn reinforces the position of the settlement in the hierarchy. Status ... the location of a major religious establishment. A formal hierarchy of settlements, known as a Anglo ... England Leicester University Press, reprinted 2001, page 52 ref Settlement hierarchy in the UK planning system The position of a settlement in the hierarchy is intended to inform decisions about new developments such as housing. Rather than define the hierarchy by population, an alternative way to construct the hierarchy is based on the services that are available within each settlement. Settlements ... External links DEFAULTSORT Settlement Hierarchy Category Town and country planning in the United Kingdom Category Hierarchy Category Populated places by type pt Hierarquia de assentamento ... more details
In Role based access control role based access control , the role hierarchy defines an inheritance relationship among roles. For example, the role structure for a bank may treat all employees as members of the employee role. Above this may be roles department manager , and accountant , which inherit all permissions of the employee role, while above department manager could be savings manager , loan manager . RBAC models generally treat the role hierarchy as either a tree set theory , as in the 1992 RBAC model of Ferraiolo and Kuhn, or a partially ordered set in the 1996 RBAC framework of Sandhu, Coyne, Feinstein, and Youman. In object oriented programming terms, the tree role hierarchy is single inheritance, while the partial order hierarchy allows multiple inheritance. When treated as a partial order, the role hierarchy example given above could be extended to allow a role such as branch manager to inherit all permissions of savings manager , loan manager , and accountant . Complications can arise when constraints such as separation of duties exist between roles. If separation of duty was used to prohibit personnel from holding both loan manager and accountant roles, then branch manager could not inherit permissions from both of them. The NIST RBAC model , which unified the FK and SCFY models, treats the role hierarchy as a partial order, although RBAC products have not gone beyond the tree structured hierarchy. Category Computer access control ... more details
In mathematical logic , the Borel hierarchy is a stratification of the Borel algebra generated by the open ... a unique countable ordinal number called the rank of the Borel set. The Borel hierarchy is of particular interest in descriptive set theory . One common use of the Borel hierarchy is to prove ... for determining whether a set is Borel. A motivation for the Borel hierarchy is to provide .... Boldface hierarchy The Borel hierarchy or boldface Borel hierarchy on a space X consists of classes ... and math mathbf Pi 0 alpha math . The motivation for the hierarchy is to follow the way in which ... otherwise it has infinite rank . The hierarchy can be shown to have the following properties math ... classes in the hierarchy corresponding to ordinals greater than &alpha If math X math is an uncountable ... mathbf Pi 0 alpha math for any math alpha omega 1 math , and thus the hierarchy does not collapse ... G sub &delta sub sets . Lightface hierarchy The lightface Borel hierarchy is an effective version of the boldface Borel hierarchy. It is important in effective descriptive set theory and recursion theory . The lightface Borel hierarchy extends the arithmetical hierarchy of subsets of an effective Polish space . It is closely related to the hyperarithmetical hierarchy . The lightface Borel hierarchy ... hierarchy, where no such effectivity is required. Each lightface Borel set has infinitely ... mathrm CK 1 math there are sets in math Sigma 0 alpha setminus Pi 0 alpha math , and thus the hierarchy .... A famous theorem due to Spector and Kleene states that a set is in the lightface Borel hierarchy if and only if it is at level math Delta 1 1 math of the analytical hierarchy . These sets are also called ... CK 1 math . This is the origin of the Church Kleene ordinal in the definition of the lightface hierarchy ... . Set Theory , 3rd edition. Springer, 2003. ISBN 3 540 44085 2. See also Wadge hierarchy Large countable ordinal Veblen hierarchy Category Descriptive set theory Category Mathematical logic hierarchies ... more details
In Exposure Therapy , a hierarchy is a graded list of stimuli that will generate an escalating level of arousal , for the purpose of producing habituation . The hierarchy may be created in advance of a session of exposure a static hierarchy or may arise extempore during the session in response to developments a dynamic hierarchy . It is not yet known which, if either, of these methods produces the better outcome. Recommended Reading Marks I 1981 Cure and Care of Neuroses Theory and Practice of Behavioural Psychotherapy John Wiley & Sons Inc http en.wikipedia.org w index.php?title Special Booksources&isbn 0471088080 ISBN 978 0471088080 Hawton K, Salkovskis PM, Kirk J, Clark DM 1989 Cognitive Behaviour Therapy for Psychiatric Problems A Practical Guide Oxford Medical Publications http en.wikipedia.org w index.php?title Special Booksources&isbn 0192615879 ISBN 978 0192615879 Richard DCS, Lauterbach D 2006 Handbook of Exposure Therapies Academic Press http en.wikipedia.org w index.php?title Special Booksources&isbn 0125874212 ISBN 978 0125874212 psych stub Category Cognitive behavioral therapy ... more details
Combinatorial hierarchy is a mathematics mathematical structure of Bit string physics bit strings generated by an algorithm based on discrimination exclusive or between bits . It was originally discovered by Frederick Parker Rhodes A.F. Parker Rhodes in the 1960s, and is interesting because of physical interpretations that relate it to quantum mechanics . ref name Combinatorial Physics Ted Bastin Bastin, Ted and Clive W. Kilmister Kilmister, C.W. Combinatorial Physics . World Scientific, 1995, ISBN 981 02 2212 2 ref For example, values close to the fine structure constant and the proton mass gravitational coupling constant appear in the generation of the Hierarchy. ref name Combinatorial Physics See also Combinatorics Combinatorics and physics Notes reflist References A formal development of the combinatorial hierarchy in terms of group theory appears in the appendix to On the physical interpretation and the mathematical structure of the combinatorial hierarchy, Int. Journ. Theor. Phys. 18, 7 1979 445. Theory of Indistinguishables, A.F. Parker Rhodes, Reidel, 1981. http www.stanford.edu pnoyes Journal of the Western Regional Chapter of the Alternative Natural Philosophy Association Category Mathematical physics Category Quantum mechanics Category Combinatorics Category Combinatorics stubs combin stub ca Jerarquia combinat ria ... more details
In set theory , a mathematical discipline, the Jensen hierarchy or J hierarchy is a modification of Kurt G del G del s constructible universe constructible hierarchy , L, that circumvents certain technical difficulties that exist in the constructible hierarchy. The J Hierarchy figures prominently in fine structure theory , a field pioneered by Ronald Jensen , for whom the Jensen hierarchy is named. Definition As in the definition of L , let Def X be the collection of sets definable with parameters over X Def X y y X and y , z sub 1 sub , ..., z sub n sub is true in X , is a first order formula and z sub 1 sub , ..., z sub n sub are elements of X . The constructible hierarchy, L is defined by transfinite recursion . In particular, at successor ordinals, L sub 1 sub Def L sub sub . The difficulty with this construction is that each of the levels is not closed under the formation of Axiom of pairing unordered pairs for a given x, y L sub 1 sub &minus L sub sub , the set x , y will not be an element of L sub 1 sub , since it is not a subset of L sub sub . However, L sub sub does have the desirable property of being closed under Levy hierarchy sub 0 sub Axiom schema of separation separation . Jensen s modified hierarchy retains this property and the slightly weaker condition that math J alpha 1 cap textrm Pow J alpha textrm Def J alpha math , but is also closed under pairing. The key technique is to encode hereditarily definable sets over J sub sub by codes then J sub 1 sub will contain all sets whose codes are in J sub sub . Like L sub sub , J sub sub is recursive definition defined recursively . For each ordinal , we define math W alpha n math to be a universal predicate universal sub n sub predicate for J sub sub . We encode hereditarily definable sets as math X alpha n 1, e X n, f W alpha n 1 e, f math , with math ... hierarchy satisfy a condensation lemma much like the levels of Godel s original hierarchy ... more details
Unreferenced date December 2009 As in taxonomy , the classifications of species, a class hierarchy in computer science is a classification of object types, denoting objects as the instantiations of classes class is like a blueprint, the object is what is built from that blueprint inter relating the various classes by relationships such as inherits , extends , is an abstraction of , an interface definition . The relationships are specified in the science of object oriented design and object interface standards defined by popular use, language designers Java programming language Java , C , Smalltalk , Visual Prolog and standards committees for software design like the Object Management Group . DEFAULTSORT Class Hierarchy Category Object oriented programming he ru ... more details
lowercase alt. hierarchy The alt. hierarchy is a major class of newsgroup s in Usenet , containing all newsgroups whose name begins with alt. , organized hierarchically. The alt. hierarchy is not confined to newsgroups of any specific subject or type, although in practice more formally organized groups tend not to occur in alt. The alt. hierarchy was created by John Gilmore activist John Gilmore and Brian ... control of the hierarchy and anyone who is technically capable of creating a newsgroup can do ... of practice most news administrators do not remove newsgroups. Origin The birth of the alt. hierarchy ... of the talk. hierarchy for discussions of controversial or sensitive issues by the renaming did not go well. The alt. hierarchy was suggested as an alternative to talk. by Brian Reid. ref http www.livinginternet.com u ui alt.htm Alt Hierarchy History Brian Reid, Usenet Newsgroups, Backbone Administrators ... hierarchy was his alt.gourmand . The prefix alt refers to the fact that it is a hierarchy that is alternative ... s and Sportsperson athletes have alt.fan groups. This sub hierarchy has also been used for self ... of the alt. hierarchy, the alt.sex. and alt.binaries. hierarchies, have been found to fit better in the alt. hierarchy than the Big 8 Usenet Big Eight . Because of the inevitably lurid and sometimes ... administrators may choose to exclude them. Several extensions of the alt. hierarchy have become quite successful on their own. A number of newsgroups have taken advantage of the freedom of the alt. hierarchy ... generic discussions of the Big Seven hierarchy. For instance, the rec. hierarchy may be home to the film ... but the alt.movies. hierarchy contains more focused discussion groups including ... off access to the alt. hierarchy to their subscribers, citing child pornography as the number ... the alt. hierarchy on their own servers. Verizon subscribers can still access the alt. hierarchy ... alt index.htm How to create an ALT newsgroup DEFAULTSORT Alt. Hierarchy Category Usenet alt. hierarchy ... more details
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