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Relation (group Theory)
In mathematics, a presentation is one method of specifying a group. A presentation of a group ''G'' comprises a set ''S'' of generators—so that every element of the group can be written as a product of powers of some of these generators—and a set ''R'' of relations among those generators. We then say ''G'' has presentation :\langle S \mid R\rangle. Informally, ''G'' has the above presentation if it is the "freest group" generated by ''S'' subject only to the relations ''R''. Formally, the group ''G'' is said to have the above presentation if it is isomorphic to the quotient of a free group on ''S'' by the normal subgroup generated by the relations ''R''. As a simple example, the cyclic group of order ''n'' has the presentation :\langle a \mid a^n = 1\rangle, where 1 is the group identity. This may be written equivalently as :\langle a \mid a^n\rangle, thanks to the convention that terms that do not include an equals sign are taken to be equal to the group identity. S ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |
International Relations
International relations (IR, and also referred to as international studies, international politics, or international affairs) is an academic discipline. In a broader sense, the study of IR, in addition to multilateral relations, concerns all activities among states—such as war, diplomacy, trade, and foreign policy—as well as relations with and among other international actors, such as intergovernmental organizations (IGOs), international nongovernmental organizations (INGOs), international legal bodies, and multinational corporations (MNCs). International relations is generally classified as a major multidiscipline of political science, along with comparative politics, political methodology, political theory, and public administration. It often draws heavily from other fields, including anthropology, economics, geography, history, law, philosophy, and sociology. There are several schools of thought within IR, of which the most prominent are realism, l ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |
Relational Model
The relational model (RM) is an approach to managing data using a structure and language consistent with first-order predicate logic, first described in 1969 by English computer scientist Edgar F. Codd, where all data are represented in terms of tuples, grouped into relations. A database organized in terms of the relational model is a relational database. The purpose of the relational model is to provide a declarative method for specifying data and queries: users directly state what information the database contains and what information they want from it, and let the database management system software take care of describing data structures for storing the data and retrieval procedures for answering queries. Most relational databases use the SQL data definition and query language; these systems implement what can be regarded as an engineering approximation to the relational model. A '' table'' in a SQL database schema corresponds to a predicate variable; the contents of a tab ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |
Relate (other)
{{disambiguation ...
Relate is a British charity providing relationship support. Relate may also refer to: * "Relate" (song), a 2021 song by For King & Country *''Relate'', a 2013 album by Neon Highwire * Relate Institute, a department of Doncaster College, South Yorkshire, England See also * Relative (other) *Relation (other) Relation or relations may refer to: General uses * International relations, the study of interconnection of politics, economics, and law on a global level * Interpersonal relationship, association or acquaintance between two or more people ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |
Clause
In language, a clause is a Constituent (linguistics), constituent or Phrase (grammar), phrase that comprises a semantic predicand (expressed or not) and a semantic Predicate (grammar), predicate. A typical clause consists of a subject (grammar), subject and a syntactic Predicate (grammar), predicate, the latter typically a verb phrase composed of a verb with or without any object (grammar), objects and other Grammatical modifier, modifiers. However, the subject is sometimes unexpressed if it is easily deducible from the context, especially in null-subject languages but also in other languages, including instances of the imperative mood in English grammar, English. A complete simple sentence contains a single clause with a finite verb. Complex sentences contain at least one clause subordinated (dependent clause, ''dependent'') to an ''independent clause'' (one that could stand alone as a simple sentence), which may be co-ordinated with other independents with or without dependents. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |
Constituent (linguistics)
In syntactic analysis, a constituent is a word or a group of words that function as a single unit within a hierarchical structure. The constituent structure of sentences is identified using ''tests for constituents''. These tests apply to a portion of a sentence, and the results provide evidence about the constituent structure of the sentence. Many constituents are phrases. A phrase is a sequence of one or more words (in some theories two or more) built around a head lexical item and working as a unit within a sentence. A word sequence is shown to be a phrase/constituent if it exhibits one or more of the behaviors discussed below. The analysis of constituent structure is associated mainly with phrase structure grammars, although dependency grammars also allow sentence structure to be broken down into constituent parts. Tests for constituents in English Tests for constituents are diagnostics used to identify sentence structure. There are numerous tests for constituents that are ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |
Grammatical Relation
In linguistics, grammatical relations (also called grammatical functions, grammatical roles, or syntactic functions) are functional relationships between constituents in a clause. The standard examples of grammatical functions from traditional grammar are subject, direct object, and indirect object. In recent times, the syntactic functions (more generally referred to as grammatical relations), typified by the traditional categories of subject and object, have assumed an important role in linguistic theorizing, within a variety of approaches ranging from generative grammar to functional and cognitive theories. Many modern theories of grammar are likely to acknowledge numerous further types of grammatical relations (e.g. complement, specifier, predicative, etc.). The role of grammatical relations in theories of grammar is greatest in dependency grammars, which tend to posit dozens of distinct grammatical relations. Every head-dependent dependency bears a grammatical functio ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |
Relations (album)
''Relations'' is an album of cover versions by Kathryn Williams, released by CAW Records on 17 May 2004. The album was a BBC Radio 2 Album Of The Week, and peaked at no.76 in the UK albums chart. The two live tracks, 'Hallelujah' & 'These Days' were recorded live at the Open Air Theatre, Regents Park, London on 10 August 2003 Williams admitted in an interview with ''The Independent'' newspaper ''"''I don't even like covers albums" but that "I'm not trying to better the originals or debase their talent ....more a case of trying subtly to put your stamp on what you consider a brilliant song" The album received mixed reviews with ''The Guardian'' concluding "The originals were better" and ''UNCUT'' magazine called it "an unusual album of cover versions". The ''MusicOMH'' review acknowledged "this may not be to everybody's taste (but) buy It and prepare to be seduced" with ''Popmatters'' suggesting the album was "partly recognized, partly elusive, offering an irresistible invi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |
Toshio Matsumoto
(25 March 1932 – 12 April 2017) was a Japanese film director and video artist. Early life Matsumoto was born in Nagoya, Aichi Prefecture, Japan and graduated from Tokyo University in 1955. Career Matsumoto’s first short was '' Ginrin'', which he made in 1955. His most famous film is his first one: '' Funeral Parade of Roses'' (''Bara no soretsu''). The film was loosely inspired by ''Oedipus Rex'', featuring a transgender woman (portrayed by Peter) trying to move up in the world of Tokyo Hostess clubs. Matsumoto published many books of photography and was a professor Professor (commonly abbreviated as Prof.) is an Academy, academic rank at university, universities and other tertiary education, post-secondary education and research institutions in most countries. Literally, ''professor'' derives from Latin ... and dean of Arts at the Kyoto University of Art and Design. There, he taught experimental filmmaker Takashi Ito. He was also president of the Japan ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |
Relation (film)
Relation or relations may refer to: General uses * International relations, the study of interconnection of politics, economics, and law on a global level * Interpersonal relationship, association or acquaintance between two or more people * Public relations, managing the spread of information to the public * Sexual relations, or human sexual activity * Social relation, in social science, any social interaction between two or more individuals Logic and philosophy * Relation (philosophy), links between properties of an object * Relational theory, framework to understand reality or a physical system Mathematics A finitary or ''n''-ary relation is a set of ''n''-tuples. Specific types of relations include: * Relation (mathematics) (an elementary treatment of binary relations) * Binary relation (or diadic relation – a more in-depth treatment of binary relations) * Equivalence relation * Homogeneous relation * Reflexive relation * Serial relation * Ternary relation (or t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |
