Rod calculus - Revision history

en>Aetheling: /* Addition */ improve grammar

2014-11-02T21:01:11Z

Addition: improve grammar

← Older revision		Revision as of 23:01, 2 November 2014
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	~~Hi there, I am~~ Alyson ~~Boon even though it~~ is ~~not the name on~~ my ~~birth certificate. She is truly fond of caving~~ but ~~she doesn~~'t ~~have the time recently~~. ~~Credit authorising~~ is ~~how he tends to make money~~. ~~Mississippi~~ is ~~the only place~~ I'~~ve been residing in but I will~~ have ~~to transfer in a year or two~~.<br><br>my web ~~blog ...~~ [http://~~www.edmposts~~.com/build-a-beautiful-organic-garden-using-these-ideas/ free psychic] online tarot card [http://findyourflirt.net/index.php?m=member_profile&p=profile&id=117823 psychic readings online] ([http://www.prograd.uff.br/~~novo/facts-about-growing-greater-organic-garden www.prograd.uff.br~~])		Alyson is what my husband enjoys to contact me but I don't like when people use my complete title. Her family life in Ohio. Distributing manufacturing is where her primary earnings comes from. It's not a common thing but what I like performing is to climb but I don't have the time lately.<br><br>Feel free to visit my web-site [http://cartoonkorea.com/ce002/1093612 certified psychics]

74.106.194.158: /* Multiplication */

2014-02-13T04:13:34Z

Multiplication

← Older revision		Revision as of 06:13, 13 February 2014
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	~~In [[probability theory]]~~, the ''~~'telegraph process''' is~~ a ~~[[Memorylessness\|memoryless]] continuous-time [[stochastic process]] that shows~~ two ~~distinct values~~.		Hi there, I am Alyson Boon even though it is not the name on my birth certificate. She is truly fond of caving but she doesn't have the time recently. Credit authorising is how he tends to make money. Mississippi is the only place I've been residing in but I will have to transfer in a year or two.<br><br>my web blog ... [http://www.edmposts.com/build-a-beautiful-organic-garden-using-these-ideas/ free psychic] online tarot card [http://findyourflirt.net/index.php?m=member_profile&p=profile&id=117823 psychic readings online] ([http://www.prograd.uff.br/novo/facts-about-growing-greater-organic-garden www.prograd.uff.br])

	~~If these are called ''a'' and ''b'', the process can be described by the following [[master equation]]s:~~

	~~:<math>\partial_t P(a, t\|x, t_0)=-\lambda P(a, t\|x, t_0)+\mu P(b, t\|x, t_0)~~<~~/math~~>

	~~and~~

	:<~~math~~>~~\partial_t P(b, t\|x, t_0)=\lambda P(a, t\|x, t_0)-\mu P(b, t\|x, t_0)~~.~~</math>~~

	~~The process is also known under the names~~ [~~[Mark Kac\|Kac]] process<ref name="Kac">{{cite journal \| doi = 10.1023~~/A:1009437108439 \| last1 = Bondarenko \| first1 = YV \| year = 2000 \| title = Probabilistic Model for Description of Evolution of Financial Indices \| url = \| journal = Cybernetics and systems analysis \| volume = 36 \| issue = \| pages = 738–742 }}</~~ref>~~
	~~, dichotomous random process~~.<ref>{{cite journal \| last1 = Margolin \| first1 = G \| last2 = Barkai \| first2 = E \| year = 2006 \| title = Nonergodicity of a Time Series Obeying Lévy Statistics \| url = \| journal = Journal of Statistical Physics \| volume = 122 \| issue = \| pages = 137–167 \| doi =10.~~1007~~/~~s10955~~-~~005~~-~~8076~~-~~9 \|bibcode=2006JSP...122..137M\|arxiv = cond~~-~~mat~~/~~0504454 }}</ref>~~

	~~==Properties==~~
	~~Knowledge of an initial state~~ [~~[exponential decay\|decays exponentially]]. Therefore for a time in the remote future, the process will reach the following stationary values, denoted by subscript ''s''~~:

	~~Mean:~~

	~~: <math>\langle X \rangle_s = \frac {a\mu+b\lambda}{\mu+\lambda}.<~~/~~math>~~

	~~Variance:~~

	~~: <math> \operatorname{var} \{ X \}_s = \frac {(a-b)^2\mu\lambda}{(\mu+\lambda)^2}~~.</~~math>~~

	~~One can also calculate a [[correlation function]]:~~

	~~: <math>\langle X(t),X(s)\rangle_s = \exp(-(\lambda+\mu)\|t-s\|) \operatorname{var} \{ X \}_s~~.~~</math>~~

	==~~Application~~==

	~~This random process finds wide application in [[model building~~]]:
	* In [[physics]], [[Spin (~~physics)\|spin systems]] and~~ [~~[fluorescence]] [[fluorescence intermittency\|intermittency]] show dichotomous properties~~. ~~But especially in [[single molecule experiment]]s [[probability distribution]]s featuring [[algebraic tail]]s are used instead of the [[exponential distribution]] implied in all formulas above~~.
	* In [[finance]] for describing [[stock]] prices<ref name="Kac" />

	~~==See also==~~

	*[[Markov chain]]
	*[[List of stochastic processes topics]]
	*[[Random telegraph signal]]

	~~==References==~~
	~~<references~~/>

	~~{{Stochastic processes}}~~

	~~[[Category:Stochastic differential equations]]~~
	~~[[Category:Stochastic processes]~~]

en>Mark viking: Added wl

2013-11-09T04:37:37Z

Added wl

← Older revision		Revision as of 06:37, 9 November 2013
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	~~The author~~'~~s title~~ is ~~Christy~~. ~~Her family lives in Ohio but her spouse wants them to transfer. The preferred hobby for him~~ and ~~his children is to play lacross and he~~'ll be ~~beginning some thing else alongside with it~~. ~~My day job~~ is ~~an information officer but I've currently applied~~ for ~~an additional 1.~~<br><br>~~my webpage~~ ... ~~spirit messages ([http://netwk~~.~~hannam~~.ac.kr/xe/~~data_2~~/~~85669 http~~://~~netwk~~.~~hannam~~.~~ac.kr~~])		In [[probability theory]], the '''telegraph process''' is a [[Memorylessness\|memoryless]] continuous-time [[stochastic process]] that shows two distinct values.

			If these are called ''a'' and ''b'', the process can be described by the following [[master equation]]s:

			:<math>\partial_t P(a, t\|x, t_0)=-\lambda P(a, t\|x, t_0)+\mu P(b, t\|x, t_0)</math>

			and

			:<math>\partial_t P(b, t\|x, t_0)=\lambda P(a, t\|x, t_0)-\mu P(b, t\|x, t_0).</math>

			The process is also known under the names [[Mark Kac\|Kac]] process<ref name="Kac">{{cite journal \| doi = 10.1023/A:1009437108439 \| last1 = Bondarenko \| first1 = YV \| year = 2000 \| title = Probabilistic Model for Description of Evolution of Financial Indices \| url = \| journal = Cybernetics and systems analysis \| volume = 36 \| issue = \| pages = 738–742 }}</ref>
			, dichotomous random process.<ref>{{cite journal \| last1 = Margolin \| first1 = G \| last2 = Barkai \| first2 = E \| year = 2006 \| title = Nonergodicity of a Time Series Obeying Lévy Statistics \| url = \| journal = Journal of Statistical Physics \| volume = 122 \| issue = \| pages = 137–167 \| doi =10.1007/s10955-005-8076-9 \|bibcode=2006JSP...122..137M\|arxiv = cond-mat/0504454 }}</ref>

			==Properties==
			Knowledge of an initial state [[exponential decay\|decays exponentially]]. Therefore for a time in the remote future, the process will reach the following stationary values, denoted by subscript ''s'':

			Mean:

			: <math>\langle X \rangle_s = \frac {a\mu+b\lambda}{\mu+\lambda}.</math>

			Variance:

			: <math> \operatorname{var} \{ X \}_s = \frac {(a-b)^2\mu\lambda}{(\mu+\lambda)^2}.</math>

			One can also calculate a [[correlation function]]:

			: <math>\langle X(t),X(s)\rangle_s = \exp(-(\lambda+\mu)\|t-s\|) \operatorname{var} \{ X \}_s.</math>

			==Application==

			This random process finds wide application in [[model building]]:
			* In [[physics]], [[Spin (physics)\|spin systems]] and [[fluorescence]] [[fluorescence intermittency\|intermittency]] show dichotomous properties. But especially in [[single molecule experiment]]s [[probability distribution]]s featuring [[algebraic tail]]s are used instead of the [[exponential distribution]] implied in all formulas above.
			* In [[finance]] for describing [[stock]] prices<ref name="Kac" />

			==See also==

			*[[Markov chain]]
			*[[List of stochastic processes topics]]
			*[[Random telegraph signal]]

			==References==
			<references/>

			{{Stochastic processes}}

			[[Category:Stochastic differential equations]]
			[[Category:Stochastic processes]]

en>Chris the speller: /* Hardware */Typo fixing per WP:HYPHEN, sub-subsection 3, points 3,4,5 using AWB (8097)

2012-08-01T15:15:27Z

Hardware: Typo fixing per WP:HYPHEN, sub-subsection 3, points 3,4,5 using AWB (8097)

New page

The author's title is Christy. Her family lives in Ohio but her spouse wants them to transfer. The preferred hobby for him and his children is to play lacross and he'll be beginning some thing else alongside with it. My day job is an information officer but I've currently applied for an additional 1.<br><br>my webpage ... spirit messages ([http://netwk.hannam.ac.kr/xe/data_2/85669 http://netwk.hannam.ac.kr])