Friendship paradox: Difference between revisions

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en>David Eppstein
Undid revision 594777475 by 50.176.68.147 (talk) sexist replacement for singular they. If it was good enough for Shakespeare it should be good enough for us.
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{{underlinked|date=October 2012}}
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{{Orphan|date=December 2010}}
 
'''Discontinuous-constituent Phrase Structure Grammar''' (DCPSG) (distinct from Discontinuous Phrase Structure Grammar/DPSG) is a formalism for describing discontinuous phrase structures in natural language, such as verb phrases in VSO languages. The formalism was introduced in the slightly more constrained form of Discontinuous-constituent Phrase Structure Grammar with Subscripts and Deletes (DCPSGsd) in Harman (1963).<ref name="harman1963">Harman, Gilbert H. 1963. Generative Grammars without Transformation Rules: A Defense of Phrase Structure. ''Language'' 39(4), 597-616.</ref> DCPSGs describe a superset of the context-free languages, by means of rewrite rules that permit a limited amount of wrapping, similar to that found in [[Head grammar]].
{{tocright}}
 
==Description==
 
Re''write rules of a '''DCPSG''' are identical to those of a CFG, with the addition of a meta-symbol, denoted here as an underscore. ''DCPSG'' rules therefore have the general form <math>X \to \alpha</math> where <math>\alpha</math> is a string of terminal symbols and/or non-terminal symbols and at most one underscore.
 
The rewrite semantics of DCPSG are identical as those of a CFG when the rule being used does not contain an underscore: given a rule <math>X \to \alpha</math>, an occurrence of <math>X</math> may be rewritten as <math>\alpha</math>.
 
For rules with an underscore, the rewrite semantics are slightly different: given a rule <math>X \to \alpha \_ \beta</math>, an occurrence of <math>X</math> can be rewritten as <math>\alpha</math>, with <math>\beta</math> being inserted immediately after the next non-terminal that is introduced at the same time. Using strict left-most productions, <math>\beta</math> is simply inserted immediately after the non-terminal that follows <math>X</math> prior to the rewrite.
''
 
==Example==
 
We can characterize the gross sentence structure of a VSO language such as Irish with the following rules (substituting English words for Irish words, and using subscripts solely for demonstration of discontinuity):
 
<math>S \to VP\ NP_{subj}</math>
 
<math>VP \to ITV ~|~ TV \ \_ \ NP_{obj}</math>
 
<math>NP \to John ~|~ Susan ~|~ ...</math>
 
<math>ITV \to ran ~|~ danced ~|~ ...</math>
 
<math>TV \to saw ~|~ met ~|~ ...</math>
 
A derivation for the sentence ''saw John Susan'', where ''John'' is the subject, and ''Susan'' is the direct object forming a VP with ''saw'' is:
 
<math>S \to VP\ NP_{subj} \to TV\ NP_{subj} NP_{obj} \to saw\ NP_{subj}\ NP_{obj} \to saw\ John\ NP_{obj} \to saw\ John\ Mary</math>
 
==References==
 
<references/>
 
{{Formal languages and grammars}}
 
{{DEFAULTSORT:Discontinuous-Constituent Phrase Structure Grammar}}
[[Category:Formal languages]]
[[Category:Grammar frameworks]]

Revision as of 06:53, 10 February 2014

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In this paragraph you would simply have to retell the hypothesis which you have mentioned earlier. Dear customers, whatever we provide are authentic and this is our guarantee that each and every single paper is an original. While writing an essay, you just need to focus on 3 parts like introduction, body and conclusion. A scholar can get ready overall organized law essays or assignments through best results gave by web written work services. This is why we come in, to rescue those students who have to meet all these demands, and still want to achieve excellent grades.

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