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# Topic: Enumeration

###### In the News (Thu 25 Apr 19)

 Coset enumeration - Wikipedia, the free encyclopedia In mathematics, coset enumeration is the problem of counting the cosets of a subgroup H of a group G given in terms of a presentation. Coset enumeration is usually considered to be one of the fundamental problems in computational group theory. The original algorithm for coset enumeration was invented by John Arthur Todd and H. en.wikipedia.org /wiki/Coset_enumeration   (307 words)

 Enumeration - Wikipedia, the free encyclopedia Enumeration is the name given to the mathematics of counting objects. Enumerative search is a search in which all possible solutions are tried in sequence that are true and can be simplified. Enumeration is also used in programming languages, such as the enum keyword in C and Java. en.wikipedia.org /wiki/Enumeration   (141 words)

 Enumeration (Java 2 Platform SE v1.4.2) An object that implements the Enumeration interface generates a series of elements, one at a time. Methods are provided to enumerate through the elements of a vector, the keys of a hashtable, and the values in a hashtable. Enumerations are also used to specify the input streams to a java.sun.com /j2se/1.4.2/docs/api/java/util/Enumeration.html   (197 words)

 Introductory Note on Census Enumeration Choice of an enumeration method is determined by a number of factors, including budgetary constraints; census laws that specify the method; the capacity to print and distribute questionnaires and other materials; other concurrent national activities; weather patterns; security of enumerators; and public attitudes. The qualities of good enumerators are that they are able to work independently, solve problems on the spot and know when to contact supervisors for problems that arise that are outside their scope. When enumerators are not rewarded for careful work or perceive that they will be paid regardless of their efforts to obtain responses from each household in their enumeration area, quality may suffer. unstats.un.org /unsd/demog/docs/symposium_09.htm   (2045 words)

 NARA 1930 Census Microfilm Locator - Enumeration District Maps An enumeration district, as used by the Bureau of the Census, was an area that could be covered by a single enumerator (census taker) in one census period (2-4 weeks for the 1930 census). Enumeration districts varied in size from several city blocks in densely populated urban areas to an entire county in sparsely populated rural areas. Enumeration district maps show the boundaries and the numbers of the census enumeration districts, which were established to help administer and control data collection. 1930census.archives.gov /Edmaps.html   (848 words)

 Encyclopedia: Enumeration   (Site not responding. Last check: 2007-11-07) Combinatorial enumeration is a subfield of enumeration that deals with the counting of objects that have symmetries which are combinatorial in nature. Enumeration is the name given to the kind of mathematics that deals with counting objects. Enumerative search is a search in which all possible solutions are tried in sequence. www.nationmaster.com /encyclopedia/Enumeration   (389 words)

 Enumeration Forms   (Site not responding. Last check: 2007-11-07) While the facsimilies convey the physical layout of the documents used to enumerate the population, they are not always clear enough to actually read the questions. Enumerator instructions for the early years — beginning with 1850 -- and general instructions included with the self-enumeration forms in the later years are also reproduced here. However, the 1850 enumeration schedule had “format and content identical with the 1860 schedule, except that the 1850 schedule did not contain the inquiry on value of personal estate.” Text for the 1850 census questions is included. www.ipums.org /usa/voliii/tEnumForm.html   (186 words)

 Enumeration and Chronology Fields (863-865)   (Site not responding. Last check: 2007-11-07) The captions that identify the enumeration and chronology levels and the codes that define the publication pattern of the holdings are contained in the Captions and Pattern fields (853-855) that are linked to the 863-865 fields by a number in subfield \$8 (Field link and sequence number). Indicates whether the enumeration and chronology is expressed in a compressed or uncompressed (itemized) form and whether this field or a linked Textual Holdings field should be used for display purposes. These enumeration subfields are correlated with the enumeration caption subfields \$a-\$h in the Captions and Pattern fields (853-855) linked to the 863-865 field, although the same subfields need not always be present. www.loc.gov /marc/holdings/echdenum.html   (1379 words)

 Ada 95 RM - 13.4 Enumeration Representation Clauses   (Site not responding. Last check: 2007-11-07) The enumeration_aggregate shall be written as a one-dimensional array_aggregate, for which the index subtype is the unconstrained subtype of the enumeration type, and each component expression is expected to be of any integer type. The first_subtype_local_name of an enumeration_representation_clause shall denote an enumeration subtype. For nonboolean enumeration types, if the coding is not specified for the type, then for each value of the type, the internal code shall be equal to its position number. www.grammatech.com /rm95html-1.0/rm9x-13-04.html   (293 words)

 2001-DP11: Spans of enumeration and chronology in expressing publication patterns in the MARC 21 Holdings Format   (Site not responding. Last check: 2007-11-07) With this method it may be possible to define spanned enumeration that embraces both continuous and restarting numbering continuity (\$v).One alternative is to introduce a new subfield for ranges within the enumeration levels. In this case the enumeration picks up the range value of 2 and is able to calculate the sequence 21-23, 24-26, and 27-29. In extending the coding to a case with both enumeration and chronology, consideration might be given to combining the spanned chronology with the unspanned enumeration in brackets. www.loc.gov /marc/marbi/2001/2001-dp11.html   (1504 words)

 Interactive Coset Enumeration This function creates a coset enumeration process for enumerating the cosets of the subgroup H of the finitely presented group G. Note that no actual coset enumeration is started for the created coset enumeration process. This means that a coset enumeration process P for the cosets of H in G is transformed into a coset enumeration process for the cosets of < H, w > in G, where < H, w > denotes the subgroup of G generated by H and w. Change enumeration parameters of the coset enumeration process P. The set of parameters accepted by this function is the same as for the function CosetEnumerationProcess; see there for a description. www.math.niu.edu /help/math/magmahelp/text310.html   (5200 words)

 Cover Pages: WS-Enumeration and WS-Transfer Published as Web Services Messaging Specifications. It brings enumeration capabilities to the WS-* suite of specifications, enabling an application to ask for items from a list of data that is held by a Web service. It should be emphasized that different enumerations of the same data source may produce different results; this may happen even for two enumeration contexts created concurrently by a single consumer using identical Enumerate requests. Enumeration, in particular, is achieved though establishing a session between the data source and the requestor. xml.coverpages.org /ni2004-09-17-a.html   (2607 words)

 Enumeration Types Each enumeration literal corresponds to a distinct value of the enumeration type, and to a distinct position number. The position number of the value of the first listed enumeration literal is zero; the position number of the value of each subsequent enumeration literal is one more than that of its predecessor in the list. 22 If an enumeration literal occurs in a context that does not otherwise suffice to determine the type of the literal, then qualification by the name of the enumeration type is one way to resolve the ambiguity (see 4.7). www.adaic.org /standards/95aarm/html/AA-3-5-1.html   (392 words)

 863-865 Enumeration and Chronology - General Information A 863-865 Enumeration and Chronology field contains a description of the holdings of a bibliographic item in the collections of the reporting organization. The captions that identify the enumeration and and chronology levels and the codes that define the publication pattern of the holdings are contained in the 853-855 Captions and Pattern field that is linked to the 863-865 field by a number in subfield The second indicator position contains a value that indicates whether the enumeration and chronology in the field is expressed in a compressed or uncompressed (itemized) form and whether the 863-865 field or an 866-868 Textual Holdings field should be used for display purposes. www.itsmarc.com /crs/hold0832.htm   (444 words)

 Enums: Advanced Enumeration Ideas   (Site not responding. Last check: 2007-11-07) Most people are familiar with enumerations as a set of unique values that can be declared in a small, simple fashion. The general rule is to structure enumerations with the declared values first, and then any additional fields and methods after that. Enumeration objects can only be produced inside of the enumeration itself (as one of the unique values). www.javalobby.org /forums/thread.jspa?threadID=16998&tstart=0   (488 words)

 : RM 00202.315 - Enumeration At Entry - 08/18/2005   (Site not responding. Last check: 2007-11-07) In the first phase DOS will collect enumeration data for people who are issued immigrant visas and who will be admitted to the U.S. by INS as aliens lawfully admitted for permanent residence and issued Form I-551, Permanent Resident Card (also known as the “green card”). In addition to the enumeration data that SSA needs, INS also transmits to SSA the person's alien registration number (A number) and, for aliens in the initial phase of EAE, the code “IMM” indicating the person was lawfully admitted for permanent residence. When an enumeration record received from INS has the code “IMM,” the Numident shows an IDN code of “H” and the system issues an SSN card without a legend. policy.ssa.gov /poms.nsf/lnx/0100202315   (3466 words)

 Embedded.com - Enumeration Constants vs. Constant Objects The crux of the problem with constant objects is that, while an enumeration constant is an rvalue, a constant object is a non-modifiable lvalue. You can't declare an enumeration constant as static or extern. Although you can declare an enumeration constant in local or global scope, the declaration's scope is unlikely to affect the way the compiler generates code for the constant. www.embedded.com /story/OEG20011129S0065   (1588 words)

 Visual Studio Magazine - Hot .NET Tips - Bind Enumeration Types to Data-Bound Controls   (Site not responding. Last check: 2007-11-07) This feature comes in handy, especially with custom enumerations that represent groups of logically related options for a given module of the application. An enumeration consists of a set of named constants and their values. By default, the type of the values in the enumeration is Int32, but you can set the type upon declaration. www.fawcette.com /vsm/2002_10/online/hottips/esposito1   (267 words)

 Amazon.com: Combinatorial Enumeration: Books: Ian P. Goulden,David M. Jackson   (Site not responding. Last check: 2007-11-07) Enumerative Combinatorics: Volume 1 by Richard P. Stanley This graduate-level text presents an encyclopedic account of the mathematical theory and problem-solving techniques associated with enumeration problems. Its approach blends combinatorial and algebraic ideas to offer insights into a wide variety of problems, and each section of the book focuses on a specific discrete structure, advancing from elementary (often classical) results to those at research level. www.amazon.com /exec/obidos/tg/detail/-/0486435970?v=glance   (459 words)

 Synoptic Enumeration Please note that it is not a list of all merely possible solutions. Graph theory tells us that the inital number of possible solutions (enumerations of n-vertex directed acyclic graphs) are 25 for three documents (Matthew, Mark, Luke, and no other), 543 for four (the synoptics and one hypothetical document), and 29,281 for five (plus two hypothetical documents). Clearly, it is desirable to prune the solution set into something more workable. www.mindspring.com /~scarlson/synopt/enum.htm   (621 words)

 enumeration - OneLook Dictionary Search Enumeration : Online Plain Text English Dictionary [home, info] Phrases that include enumeration: algebraic enumeration, combinatorial enumeration, effective enumeration, enumeration district, enumeration problem, more... Words similar to enumeration: count, counting, enumerate, numbering, numeration, reckoning, tally, more... www.onelook.com /cgi-bin/cgiwrap/bware/dofind.cgi?word=enumeration   (177 words)

 MATHS: Enumeration Types An enumeration type has a finite set of values in a fixed sequence: Thes are best used by giving them names and using the name as a type in later definitions: When we have a list of unique identifiers v then we can create a new type T=enum v. www.csci.csusb.edu /dick/maths/math_77_Enumerations.html   (469 words)

 definition of enumeration A detailed account, in which each thing is specially noticed. Account, Act, An, Argument, Detailed, Each, Enumerating, In, Is, Making, Mention, Noticed, Of, Or, Peroration, Recapitulation, Separate, Specially, The, Thing, Which Account, Act, An, Argument, Detailed, Each, Enumerating, Heads, In, Is, Making, Mention, Noticed, Of, Or, Peroration, Recapitulation, Recounting, Separate, Specially, The, Thing, Which www.brainydictionary.com /words/en/enumeration160678.html   (110 words)

 Enumeration If writing for 1.2, consider using Iterator instead. Enumerations over the new collections classes, for use with legacy APIs that require them, can be obtained by the enumeration method in class Collections. Tests whether there are elements remaining in the enumeration. www.docjar.com /docs/api/java/util/Enumeration.html   (116 words)

 CS635: Doc 18, Iterator Vector listOfStudents = new Vector(); // code to add students not shown Enumeration list = listOfStudents.elements(); while (list.hasMoreElements()) Console.println(list.nextElement()); Hashtable anIndex = new Hashtable(); // code to add elements to the hashtable not shown Enumeration list = anIndex.keys(); while (list.hasMoreElements()) Console.println(list.nextElement()); Polymorphic iterators can cause problems with memory leaks in C++ because they are on the heap! Java's enumeration class is a bare minimum iterator www.eli.sdsu.edu /courses/spring98/cs635/notes/iterator/iterator.html   (731 words)

 Enumeration Types The predefined order relations between values of the enumeration type follow the order of corresponding position numbers. At any place where an overloaded enumeration literal occurs in the text of a program, the type of the enumeration literal has to be determinable from the context (see 8.6). Blue; -- the Color Red, not the Light www.adaic.org /standards/95lrm/html/RM-3-5-1.html   (273 words)

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