Deterministic pushdown automaton - Revision history

en>Widefox: /* top */ bold alt article name per MOS

2014-12-17T11:28:53Z

top: bold alt article name per MOS

← Older revision		Revision as of 13:28, 17 December 2014
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	~~{{Context\|date=October 2009}}{{One source\|date=November 2007}}~~		Hi there, I am Alyson Boon although it is not the title on my beginning certification. One of the extremely very best psychic readings ([http://cspl.postech.ac.kr/zboard/Membersonly/144571 cspl.postech.ac.kr]) things in the globe for him is doing ballet and he'll be beginning some thing else along with it. He functions as a bookkeeper. Mississippi is exactly where her house is but her husband wants them to transfer.

	~~In [[chaos theory]]~~, ~~the '''correlation sum'''~~ is the ~~estimator~~ of the [~~[correlation integral]], which reflects the mean probability that the states at two different times are close:~~

	:~~<math>C(\varepsilon) = \frac{1}{N^2} \sum_{\stackrel{i,j=1}{i \neq j}}^N \Theta(\varepsilon - \|\| \vec{x}(i) - \vec{x}(j)\|\|), \quad \vec{x}(i) \in \Bbb{R}^m,<~~/~~math>~~

	~~where <math>N<~~/~~math> is the number of considered states <math>\vec{x}(i)<~~/~~math>, <math>\varepsilon<~~/~~math> is a threshold distance, <math>\|\| \cdot \|\|<~~/~~math> a norm (e~~.g. ~~[[Euclidean norm]~~]) and ~~<math>\Theta( \cdot )</math> the [[Heaviside step function]]~~. ~~If only~~ a ~~[[time series]]~~ is ~~available, the phase space can be reconstructed by using a time delay embedding (see [[Takens' theorem]]):~~

	~~:<math>\vec{x}(i) = (u(i), u(i+\tau), \ldots, u(i+\tau(m-1)),</math>~~

	where ~~<math>u(i)</math> is the time series, <math>m</math> the embedding dimension and <math>\tau</math> the time delay.~~

	~~The correlation sum~~ is ~~used~~ to ~~estimate the [[correlation dimension]].~~

	~~==See also==~~
	*[[Correlation integral]]
	*[[Correlation dimension]]
	*[[Recurrence quantification analysis]]

	~~==References==~~
	* {{cite journal \| author=P. Grassberger and I. Procaccia \| title=Measuring the strangeness of strange attractors \| journal=Physica \| year=1983 \| volume=9D\| pages=189–208 \| doi=10.1016/0167-2789(83)90298-1\|bibcode = 1983PhyD....9..189G }}

	~~[[Category:Chaos theory]]~~
	~~[[Category:Dynamical systems]]~~
	~~[[Category:Dimension theory]]~~

en>Nxavar: /* Languages recognized */ The citation says nothing about deterministic context-free languages or DPDA.

2013-04-20T05:16:54Z

Languages recognized: The citation says nothing about deterministic context-free languages or DPDA.

← Older revision		Revision as of 07:16, 20 April 2013
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	~~Greetings! I am Marvella and I feel comfy when individuals use~~ the ~~complete name. He utilized to be unemployed but now he~~ is a ~~computer operator but his marketing never comes~~. ~~Years ago we moved to North Dakota and I adore each working day living here~~. ~~To gather cash is what her family~~ and ~~her enjoy.~~<br><br>~~Also visit my blog post;~~ [~~http~~://~~peak~~.~~hosting~~.~~bizfree~~.kr/~~xe/?document_srl~~=~~247364 at home std test~~]		{{Context\|date=October 2009}}{{One source\|date=November 2007}}

			In [[chaos theory]], the '''correlation sum''' is the estimator of the [[correlation integral]], which reflects the mean probability that the states at two different times are close:

			:<math>C(\varepsilon) = \frac{1}{N^2} \sum_{\stackrel{i,j=1}{i \neq j}}^N \Theta(\varepsilon - \|\| \vec{x}(i) - \vec{x}(j)\|\|), \quad \vec{x}(i) \in \Bbb{R}^m,</math>

			where <math>N</math> is the number of considered states <math>\vec{x}(i)</math>, <math>\varepsilon</math> is a threshold distance, <math>\|\| \cdot \|\|</math> a norm (e.g. [[Euclidean norm]]) and <math>\Theta( \cdot )</math> the [[Heaviside step function]]. If only a [[time series]] is available, the phase space can be reconstructed by using a time delay embedding (see [[Takens' theorem]]):

			:<math>\vec{x}(i) = (u(i), u(i+\tau), \ldots, u(i+\tau(m-1)),</math>

			where <math>u(i)</math> is the time series, <math>m</math> the embedding dimension and <math>\tau</math> the time delay.

			The correlation sum is used to estimate the [[correlation dimension]].

			==See also==
			*[[Correlation integral]]
			*[[Correlation dimension]]
			*[[Recurrence quantification analysis]]

			==References==
			* {{cite journal \| author=P. Grassberger and I. Procaccia \| title=Measuring the strangeness of strange attractors \| journal=Physica \| year=1983 \| volume=9D\| pages=189–208 \| doi=10.1016/0167-2789(83)90298-1\|bibcode = 1983PhyD....9..189G }}

			[[Category:Chaos theory]]
			[[Category:Dynamical systems]]
			[[Category:Dimension theory]]

en>DBSand: Add link to nested stack automaton

2012-06-16T19:51:29Z

Add link to nested stack automaton

New page

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