Alternation Of Generations Simpler
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Alternation Of Generations Simpler
Alternation or AlterNation may refer to: * Alternation (complexity), a resource in computational complexity theory * Alternation (formal language theory), the set union of two sets of strings in formal language theory and pattern matching * Alternation (geometry), a geometric operation for deriving polytopes from other polytopes * Alternation (linguistics), a variation in the phonological form of a morpheme * Diathesis alternation, a linguistics term relating to verb use * R/N alternation; see Rhotacism (sound change) * Logical disjunction, the ''or'' function * ''AlterNation'', a show on NE1 FM * WSTB, a radio station in Streetsboro, Ohio known as ''The AlterNation'' {{disambig ...
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Alternation (complexity)
In computational complexity theory, an alternating Turing machine (ATM) is a non-deterministic Turing machine (NTM) with a rule for accepting computations that generalizes the rules used in the definition of the complexity classes NP and co-NP. The concept of an ATM was set forth by Chandra and Stockmeyer and independently by Kozen in 1976, with a joint journal publication in 1981. Definitions Informal description The definition of NP uses the ''existential mode'' of computation: if ''any'' choice leads to an accepting state, then the whole computation accepts. The definition of co-NP uses the ''universal mode'' of computation: only if ''all'' choices lead to an accepting state does the whole computation accept. An alternating Turing machine (or to be more precise, the definition of acceptance for such a machine) alternates between these modes. An alternating Turing machine is a non-deterministic Turing machine whose states are divided into two sets: existential states ...
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Alternation (formal Language Theory)
In formal language, formal language theory and pattern matching, alternation is the union (set theory), union of two sets of strings, or equivalently the logical disjunction of two patterns describing sets of strings. Regular languages are Regular language#Closure properties, closed under alternation, meaning that the alternation of two regular languages is again regular. In implementations of regular expressions, alternation is often expressed with a vertical bar connecting the expressions for the two languages whose union is to be matched, while in more theoretical studies the plus sign may instead be used for this purpose. The ability to construct finite automaton, finite automata for unions of two regular languages that are themselves defined by finite automata is central to the equivalence between regular languages defined by automata and by regular expressions. Other classes of languages that are closed under alternation include context-free languages and recursive languages. ...
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Alternation (geometry)
In geometry, an alternation or ''partial truncation'', is an operation on a polygon, polyhedron, tiling, or higher dimensional polytope that removes alternate vertices.Coxeter, Regular polytopes, pp. 154–156 8.6 Partial truncation, or alternation Coxeter labels an ''alternation'' by a prefixed ''h'', standing for ''hemi'' or ''half''. Because alternation reduces all polygon faces to half as many sides, it can only be applied to polytopes with all even-sided faces. An alternated square face becomes a digon, and being degenerate, is usually reduced to a single edge. More generally any vertex-uniform polyhedron or tiling with a vertex configuration consisting of all even-numbered elements can be ''alternated''. For example, the alternation of a vertex figure with ''2a.2b.2c'' is ''a.3.b.3.c.3'' where the three is the number of elements in this vertex figure. A special case is square faces whose order divides in half into degenerate digons. So for example, the cube ''4.4.4'' i ...
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Alternation (linguistics)
In linguistics, an alternation is the phenomenon of a morpheme exhibiting variation in its phonological realization. Each of the various realizations is called an alternant. The variation may be conditioned by the phonological, morphological, and/or syntactic environment in which the morpheme finds itself. Alternations provide linguists with data that allow them to determine the allophones and allomorphs of a language's phonemes and morphemes and to develop analyses determining the distribution of those allophones and allomorphs. Phonologically conditioned alternation An example of a phonologically conditioned alternation is the English plural marker commonly spelled ''s'' or ''es''. This morpheme is pronounced , , or ,The vowel of the inflectional suffix - may belong to the phoneme of either or depending on dialect, and is a shorthand for "either or ". This usage of the symbol is borrowed from the ''Oxford English Dictionary''. depending on the nature of the preceding s ...
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Diathesis Alternation
In linguistics, diathesis alternation or verb alternationLevin, B. (1993) English Verb Classes and Alternations: A Preliminary Investigation, University of Chicago Press, Chicago, IL occurs when the same verb can be used in different subcategorization frames or with different valency, as in "Fred ate the pizza" (where ''ate'' is transitive, with object "the pizza") vs. "Fred ate" (where ''ate'' is intransitive, with no object). The two usages usually have a slight difference in meaning. Using a single verb, one can also change the position of a phrase's arguments which may or may not change the sentence's meaning as well. It is a hard problem for theoretical linguistics how to encode constraints on the diathesis alternation of a specific verb to a lexicon. It is also claimed that the manner in which verbs undergo diathesis alternation can be used to identify the semantic class they belong to e.g. in a machine learning task. Examples * Fred ate the pizza vs. Fred ate * Mary bro ...
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Rhotacism (sound Change)
Rhotacism () or rhotacization is a sound change that converts one consonant (usually a voiced alveolar consonant: , , , or ) to a rhotic consonant in a certain environment. The most common may be of to . When a dialect or member of a language family resists the change and keeps a sound, this is sometimes known as ''zetacism''. The term comes from the Greek letter ''rho'', denoting . Albanian The southern, Tosk dialects, the base of Standard Albanian, changed to , but the northern, Gheg dialects did not: * vs. 'the voice' * vs. 'the knee' * vs. 'Albania' * vs. 'cheerful' * vs. 'lost' * vs. 'smiling' * vs. 'broken' * vs. 'touched' * vs. 'amazed' * vs. 'Albania' (older name of the country) * vs. 'burnt' * vs. 'drunk' * vs. 'baked' * vs. 'wood' * vs. 'did' * vs. 'put' * vs. 'caught' * vs. 'dust' * vs. 'happy' * vs. 'love' Aramaic In Aramaic, Proto-Semitic ''n'' changed to ''r'' in a few words: * ''bar'' "son" as compared to ...
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Logical Disjunction
In logic, disjunction is a logical connective typically notated as \lor and read aloud as "or". For instance, the English language sentence "it is raining or it is snowing" can be represented in logic using the disjunctive formula R \lor S , assuming that R abbreviates "it is raining" and S abbreviates "it is snowing". In classical logic, disjunction is given a truth functional semantics according to which a formula \phi \lor \psi is true unless both \phi and \psi are false. Because this semantics allows a disjunctive formula to be true when both of its disjuncts are true, it is an ''inclusive'' interpretation of disjunction, in contrast with exclusive disjunction. Classical proof theoretical treatments are often given in terms of rules such as disjunction introduction and disjunction elimination. Disjunction has also been given numerous non-classical treatments, motivated by problems including Aristotle's sea battle argument, Heisenberg's uncertainty principle, as well ...
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NE1 FM
Nova Radio North East, (formerly NE1fm) is an FM broadcasting, FM Community radio in the United Kingdom, community radio station based in Newcastle upon Tyne, England. Launched in 2007, the station broadcasts 24 hours a day on 102.5 FM, and online via its website. The station is owned by CBIT (Community Broadcast Initiative Tyneside Ltd). They were awarded a five-year community broadcast licence by Ofcom in 2006, which has since been extended to 2022. Nova Radio NE carries a wide variety of content, catering for both mainstream and niche musical genres, and also broadcasts interviews and sports, talk and comedy-based shows. Nova Radio NE has broadcast more than 100 different shows during its time on-air, including enabling members of the local community to present as part of its open access programming. The station also broadcasts from musical and other events in the local area, promotes local bands, and highlights community issues on a regular basis. The name was a play on the ...
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