en>Chris j wood: Disambiguated: SOB → SOB (disambiguation)

2013-06-24T10:38:42Z

Disambiguated: SOB → SOB (disambiguation)

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	~~Today~~, ~~there are several other types~~ of ~~web development~~ and ~~blogging software available~~ to ~~design and host your website blogs online and that too in minutes~~, ~~if not hours. You can either install Word - Press yourself or use free services offered~~ on the ~~web today. One really cool features about this amazing~~ and ~~free wp plugin is that~~ the code it generates is completely portable. Donor oocytes and menopausal pregnancy: Oocyte donation to women of advanced reproductive age: pregnancy results and obstetrical outcomes in patients 45 years and older. Understanding how Word - Press works can be a challenge, but it is not too difficult when you learn more about it. ~~<br><br>~~		In [[probability theory]], an '''additive Markov chain''' is a [[Markov chain]] with an [[Additive function\|additive]] conditional probability function. Here the process is a [[Discrete-time stochastic process\|discrete-time]] [[Markov chain#Variations\|Markov chain of order ''m'']] and the transition probability to a state at the next time is a sum of functions, each depending on the next state and one of the ''m'' previous states.

	~~Any business enterprise that~~ is ~~certainly worth its name should really shell out~~ a ~~good deal in making sure that they have~~ the ~~most effective website~~ that ~~provides related info to its prospect. You do not catch~~ a ~~user~~'~~s attention through big and large pictures~~ that ~~usually takes a millennium to load up. If you have any type~~ of ~~inquiries concerning where~~ and ~~ways to make use~~ of ~~[https~~://~~those.bz~~/~~arcade~~/~~index~~.~~php?task=profile~~&~~id=6148 wordpress backup]~~, ~~you could contact us at our own website~~. ~~Well Managed Administration~~ The ~~Word~~ - ~~Press can easily absorb the high numbers of traffic by controlling the server load to make sure that the site works properly. By purchasing Word~~ - ~~Press weblogs you can acquire your very own domain title and have total command of your web site. By using Word~~ - ~~Press~~, ~~you can develop very rich~~, ~~user~~-~~friendly and full~~-~~functional website~~. <br><br>~~The least difficult and very best way to do this~~ is ~~by acquiring a Word - Press site. To sum up, ensure that~~ the ~~tactics are aiming~~ to ~~increase~~ the ~~ranking~~ and ~~attracting the maximum intended traffic in~~ the ~~major search engines~~. ~~For a much deeper understanding~~ of ~~simple wordpress themes", check out Upon browsing such, you~~'~~ll be able to know valuable facts. Thousands of plugins are available in Word - Press plugin~~'~~s library which makes~~ the ~~task~~ of ~~selecting right set~~ of ~~plugins for your website a very tedious task~~. ~~Converting HTML to Word~~ - ~~Press theme for your website can allow you to enjoy~~ the ~~varied Word - Press features that aid in consistent growth your online business~~. <br><br>~~Word - Press installation~~ is ~~very easy~~ and ~~hassle free. But~~ the ~~Joomla was created as~~ the ~~CMS over years of hard work~~. ~~Websites that do rank highly~~, ~~do so becaue they use keyword-heavy post titles~~. So, ~~we have~~ to ~~add our social media sharing buttons in website~~. ~~If your site does well you can get paid professional designer to create a unique Word - Press theme~~. <br><br>~~Yet~~, ~~overall~~, ~~less than~~ 1% of ~~websites presently have mobile versions of their websites~~. I'm a ~~large fan~~ of ~~using Word~~ - ~~Press to create pretty much any sort of web page~~. ~~Just download it from the website~~ and ~~start using the same~~. ~~Extra investment~~ in ~~Drupal must be bypassed as value for money is what Drupal provides~~. ~~The 2010 voting took place from July 7 through August 31~~, ~~2010~~.		==Definition==
			An additive Markov chain of order ''m'' is a sequence of [[random variable]]s ''X''<sub>1</sub>, ''X''<sub>2</sub>, ''X''<sub>3</sub>, ..., possessing the following property: the probability that a random variable ''X''<sub>''n''</sub> has a certain value ''x''<sub>''n''</sub> under the condition that the values of all previous variables are fixed depends on the values of ''m'' previous variables only ([[Markov chain]] of order ''m''), and the influence of previous variables on a generated one is additive,

			:<math>\Pr(X_n=x_n\|X_{n-1}=x_{n-1}, X_{n-2}=x_{n-2}, \dots, X_{n-m}=x_{n-m}) = \sum_{r=1}^{m} f(x_n,x_{n-r},r)</math>.

			==Binary case==
			A '''binary''' additive Markov chain is where the [[state space]] of the chain consists on two values only, ''X''<sub>n</sub> ∈ { ''x''<sub>1</sub>, ''x''<sub>2</sub> }. For example, ''X''<sub>''n''</sub> ∈ { 0, 1 }. The conditional probability function of a binary additive Markov chain can be represented as

			:<math>\Pr(X_n=1\|X_{n-1}=x_{n-1}, X_{n-2}=x_{n-2}, \dots) = \bar{X} + \sum_{r=1}^{m} F(r) (x_{n-r}-\bar{X}),</math>

			:<math>\Pr(X_n=0\|X_{n-1}=x_{n-1}, X_{n-2}=x_{n-2}, \dots) = 1 - \Pr(X_n=1\|X_{n-1} = x_{n-1}, X_{n-2} = x_{n-2}, \dots).</math>

			Here <math>\bar{X}</math> is the probability to find ''X''<sub>''n''</sub> = 1 in the sequence and
			''F''(''r'') is referred to as the memory function. The value of <math>\bar{X}</math> and the function ''F''(''r'') contain all the information about [[correlation]] properties of the Markov chain.

			===Relation between the memory function and the correlation function===
			In the binary case, the [[correlation function]] between the variables <math>X_n</math> and <math>X_k</math> of the chain depends on the distance <math>n - k</math> only. It is defined as follows:
			:<math>K(r) = \langle (X_n-\bar{X})(X_{n+r}-\bar{X}) \rangle = \langle X_n X_{n+r} \rangle -{\bar{X}}^2,</math>

			where the symbol <math>\langle \cdots \rangle</math> denotes averaging over all ''n''. By definition,

			:<math>K(-r)=K(r), K(0)=\bar{X}(1-\bar{X}).</math>

			There is a relation between the memory function and the correlation function of the binary additive Markov chain:<ref>S.S. Melnyk, O.V. Usatenko, and V.A. Yampol’skii. (2006) "Memory functions of the additive Markov chains: applications to complex dynamic systems", ''Physica A'', 361 (2), 405–415 {{doi\|10.1016/j.physa.2005.06.083}}
			</ref>

			:<math>K(r)=\sum_{s=1}^m K(r-s)F(s), \, \, \, \, r=1, 2, \dots\,. </math>

			==See also==
			<div style="-moz-column-count:4; column-count:4;">
			* [[Examples of Markov chains]]
			</div>

			{{More footnotes\|date=September 2010}}

			==Notes==
			{{Reflist\|60em}}

			==References==
			{{Reflist}}

			* A.A. Markov. (1906) "Rasprostranenie zakona bol'shih chisel na velichiny, zavisyaschie drug ot druga". ''Izvestiya Fiziko-matematicheskogo obschestva pri Kazanskom universitete'', 2-ya seriya, tom 15, 135–156

			* A.A. Markov. (1971) "Extension of the limit theorems of probability theory to a sum of variables connected in a chain". reprinted in Appendix B of: R. Howard. ''Dynamic Probabilistic Systems, volume 1: Markov Chains''. John Wiley and Sons

			* S. Hod and U. Keshet. (2004) "Phase transition in random walks with long-range correlations", ''Phys. Rev. E'', 70, p. 015104

			* S.L. Narasimhan, J.A. Nathan, and K.P.N. Murthy. (2005) "Can coarse-graining introduce long-range correlations in a symbolic sequence?", ''Europhys. Lett.'', 69 (1), p. 22

			*Ramakrishnan, S. (1981) "Finitely Additive Markov Chains", ''Transactions of the American Mathematical Society'', 265 (1), 247-272 {{jstor\|1998493}}

			{{DEFAULTSORT:Additive Markov Chain}}
			[[Category:Stochastic processes]]
			[[Category:Markov processes]]

en>Icairns: dab

2011-11-03T19:07:45Z

dab

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Today, there are several other types of web development and blogging software available to design and host your website blogs online and that too in minutes, if not hours. You can either install Word - Press yourself or use free services offered on the web today. One really cool features about this amazing and free wp plugin is that the code it generates is completely portable. Donor oocytes and menopausal pregnancy: Oocyte donation to women of advanced reproductive age: pregnancy results and obstetrical outcomes in patients 45 years and older. Understanding how Word - Press works can be a challenge, but it is not too difficult when you learn more about it. 

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en>Chris j wood: Disambiguated: SOB → SOB (disambiguation)

en>Icairns: dab