Wind engineering - Revision history

216.116.14.104: /* External links */

2014-09-25T05:50:52Z

External links

← Older revision		Revision as of 07:50, 25 September 2014
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	~~The '''maximal ergodic theorem''~~' is a [~~[theorem~~]~~] in~~ [~~[ergodic theory]], a discipline within [[mathematics]]~~.		Hello buddy. Allow me [http://www.Angieslist.com/articles/what-does-and-doesnt-your-auto-warranty-cover.htm introduce] myself. I am Ron but I don't like when people use my full auto warranty title. What she enjoys performing is bottle tops collecting and [http://www.adt-clan.at/index.php?mod=users&action=view&id=7667 extended auto warranty] [http://www.saintpeteryouthbasketball.org/ActivityFeed/MyProfile/tabid/60/userId/95760/Default.aspx car warranty] she is attempting to make it a profession. Her husband and her chose to extended car [http://Www.Edmunds.com/auto-warranty/ warranty reside] in Delaware but car warranty she needs to move because of her family. I am a production and distribution officer.<br><br>Visit my blog; extended car [http://www.Ct.gov/dmv/cwp/view.asp?a=799&q=245376 warranty -] [http://14.63.168.193/index.php?document_srl=249897&mid=freeboard click through the up coming document] -

	~~Suppose that <math>(X, \mathcal{B}, \mu)<~~/~~math>~~ is a [~~[probability space]], that <math>T~~ : ~~X \to X<~~/~~math> is a (possibly noninvertible) [[measure~~-~~preserving transformation~~]], and ~~that~~ <~~math~~>~~f \in L^1(\mu)~~</~~math>~~. ~~Define <math>f^*<~~/~~math> by~~
	:<math>f^* = ~~\sup_{N\geq 1} \frac1N \sum_{i~~=~~0}^{N~~-~~1} f \circ T^i. <~~/~~math>~~
	~~Then the maximal ergodic theorem states that~~
	~~:<math> \int_{f^* > \lambda} f \,d\mu \ge \lambda \cdot \mu\{ f^* > \lambda\} <~~/~~math>~~
	~~for any λ ∈ '''R'''~~.

	~~This theorem is used to prove the point-wise [[ergodic theorem]]~~.

	~~== References ==~~
	* {{citation \| first1=Michael \| last1=Keane \| first2=Karl \| last2=Petersen \| year=2006 \| title=Easy and nearly simultaneous proofs of the Ergodic Theorem and Maximal Ergodic Theorem \| journal=Institute of Mathematical Statistics Lecture Notes - Monograph Series \| volume=48 \| pages=248–251 \| doi=10.~~1214~~/~~074921706000000266 \| series~~=~~Institute of Mathematical Statistics Lecture Notes - Monograph Series \| isbn~~=~~0-940600-64-1}}.~~

	~~[[Category:Probability theorems]]~~
	~~[[Category:Ergodic theory]]~~
	~~[[Category:Theorems in dynamical systems]~~]

	~~{{probability~~-~~stub}}~~

en>Mark Arsten: Reverted edits by 112.208.87.196 (talk): editing tests (HG)

2014-02-01T00:35:32Z

Reverted edits by 112.208.87.196 (talk): editing tests (HG)

← Older revision		Revision as of 02:35, 1 February 2014
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	~~Alyson~~ is ~~what my husband loves to contact me but I don't like when people use my complete name. She works as~~ a ~~journey agent but quickly she'll be on her personal~~. ~~Mississippi~~ is ~~where her house is but her spouse desires them~~ to ~~transfer. One of the very best things in the globe for him~~ is ~~performing ballet~~ and ~~he'll be beginning some thing else along with it~~.<br><br>~~my website; [http~~://~~black7~~.~~mireene~~.~~com~~/~~aqw/5741 clairvoyant psychic~~]		The '''maximal ergodic theorem''' is a [[theorem]] in [[ergodic theory]], a discipline within [[mathematics]].

			Suppose that <math>(X, \mathcal{B}, \mu)</math> is a [[probability space]], that <math>T : X \to X</math> is a (possibly noninvertible) [[measure-preserving transformation]], and that <math>f \in L^1(\mu)</math>. Define <math>f^*</math> by
			:<math>f^* = \sup_{N\geq 1} \frac1N \sum_{i=0}^{N-1} f \circ T^i. </math>
			Then the maximal ergodic theorem states that
			:<math> \int_{f^* > \lambda} f \,d\mu \ge \lambda \cdot \mu\{ f^* > \lambda\} </math>
			for any λ ∈ '''R'''.

			This theorem is used to prove the point-wise [[ergodic theorem]].

			== References ==
			* {{citation \| first1=Michael \| last1=Keane \| first2=Karl \| last2=Petersen \| year=2006 \| title=Easy and nearly simultaneous proofs of the Ergodic Theorem and Maximal Ergodic Theorem \| journal=Institute of Mathematical Statistics Lecture Notes - Monograph Series \| volume=48 \| pages=248–251 \| doi=10.1214/074921706000000266 \| series=Institute of Mathematical Statistics Lecture Notes - Monograph Series \| isbn=0-940600-64-1}}.

			[[Category:Probability theorems]]
			[[Category:Ergodic theory]]
			[[Category:Theorems in dynamical systems]]

			{{probability-stub}}

en>Kaldari: /* Wind loads on buildings */ capitalization

2012-07-17T00:54:42Z

Wind loads on buildings: capitalization

New page

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