en>Yobot: WP:CHECKWIKI errors fixed + general fixes, removed stub tag using AWB (8961)

2013-03-07T16:55:17Z

WP:CHECKWIKI errors fixed + general fixes, removed stub tag using AWB (8961)

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			In [[mathematics]], '''uniform absolute-convergence''' is a type of [[Convergent series\|convergence]] for [[series (mathematics)\|series]] of [[function (mathematics)\|function]]s. Like [[absolute convergence\|absolute-convergence]], it has the useful property that it is preserved when the order of summation is changed.

			== Motivation ==

	~~If you present photography effectively~~, ~~it helps you look much more properly at~~ the ~~globe around you~~. ~~This means you~~ can ~~setup your mailing list and auto~~-~~responder on your wordpress site and then you can add your subscription form to any other blog, splash page~~, ~~capture page~~ or ~~any other site you like~~. ~~Your parishioners and certainly interested audience can come in to you~~ for ~~further information from~~ the ~~group and sometimes even approaching happenings and systems with the church. Keep reading for some great Word~~ - ~~Press ideas you~~ can ~~start using today~~. ~~The number of options offered here is overwhelming, but once I took the time~~ to ~~begin~~ to ~~review~~ the ~~video training, I was amazed at how easy it was to create a squeeze page and a membership site.~~ <br><br>~~The Internet~~ is ~~a vast open market where businesses and consumers congregate. Some~~ of ~~the Wordpress development services offered by us are~~:. ~~In case you loved this post and you wish to receive more info with regards to~~ [http://~~emailsite~~.de/~~wordpress_dropbox_backup_9221554 backup plugin] assure visit our~~ web ~~site~~. ~~It sorts the results~~ of ~~a search according to category~~, ~~tags and comments~~. ~~Being able to help with your customers~~ can ~~make a change in how a great deal work, repeat online business,~~ and ~~referrals you~~'~~ll be given~~. ~~Aided by the completely foolproof j - Query color selector~~, ~~you~~'~~re able to change the colors of factors of your theme a the click~~ on the ~~screen~~, ~~with very little previous web site design experience.~~ <br><br>~~Your Word - Press blog or site will also require a domain name which many hosting companies can also provide. When a business benefits from its own domain name and a tailor-made blog, the odds~~ of ~~ranking higher in~~ the ~~search engines and being visible~~ to ~~a greater number~~ of ~~people is more likely. After age 35~~, ~~18% of pregnancies will end in miscarriage. You can allow visitors to post comments, or you can even allow your visitors to register~~ and ~~create their own personal blogs. Purchase these from our site~~, ~~or bring your own, it doesn~~'~~t matter, we will still give you free installation and configuration.~~ <br><br>~~Whether your Word~~ - ~~Press themes~~ is ~~premium or not~~, ~~but nowadays every theme~~ is ~~designed with widget~~-~~ready~~. ~~Cameras with~~ a ~~pentaprism~~ (~~as in comparison to pentamirror~~) ~~ensure that little mild~~ is ~~lost before it strikes your eye~~, ~~however~~ these ~~often increase the cost~~ of ~~the digital camera considerably. Enterprise, when they plan to hire Word~~ - ~~Press developer resources still PHP~~, My - ~~SQL and watch with great expertise in codebase. It's now become~~ a ~~great place to sell it thanks to Woo - Commerce~~. ~~OSDI~~, a ~~Wordpress Development Company based on ahmedabad~~, ~~India. <br><br>Internet~~ is ~~not only~~ the ~~source~~ for ~~information~~, ~~it is also one~~ of the ~~source for passive income. As~~ a ~~website owner~~, ~~you can easily manage CMS-based website in a pretty easy~~ and ~~convenient style. In simple words,~~ this ~~step can be interpreted as~~ the ~~planning phase~~ of ~~entire PSD to wordpress conversion process. 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.~~		A convergent series of numbers can often be reordered in such a way that the new series diverges. This is not possible for series of nonnegative numbers, however, so the notion of [[absolute convergence\|absolute-convergence]] precludes this phenomenon. When dealing with [[uniformly convergent]] series of functions, the same phenomenon occurs: the series can potentially be reordered into a non-uniformly convergent series, or a series which does not even converge pointwise. This is impossible for series of nonnegative functions, so the notion of uniform absolute-convergence can be used to rule out these possibilities.

			== Definition ==

			Given a set ''S'' and functions <math>f_n : X \to \mathbb{C}</math> (or to any [[normed vector space]]), the series
			:<math>\sum_{n=0}^{\infty} f_n(x)</math>
			is called '''uniformly absolutely-convergent''' if the series of nonnegative functions
			:<math>\sum_{n=0}^{\infty} \|f_n(x)\|</math>
			is uniformly convergent.<ref>[http://books.google.com/books?id=azS2ktxrz3EC&pg=PA1648&lpg=PA1648&dq=%22uniformly+absolutely+convergent%22&source=web&ots=MYazWvxtmR&sig=aw_SN9-AUjm36Jfn-W3evKiQOp4&hl=en&sa=X&oi=book_result&resnum=2&ct=result#PPA1647,M1 Kiyosi Itō (1987). ''Encyclopedic Dictionary of Mathematics'', ''MIT Press''.]</ref>

			== Distinctions ==

			A series can be uniformly convergent ''and'' absolutely convergent without being uniformly absolutely-convergent. For example, if ''ƒ''<sub>''n''</sub>(''x'') = ''x''<sup>''n''</sup>/''n'' on the open interval (−1,0), then the series Σ''f''<sub>''n''</sub>(''x'') converges uniformly by comparison of the partial sums to those of Σ(−1)<sup>''n''</sup>/''n'', and the series Σ\|''f''<sub>''n''</sub>(''x'')\| converges absolutely ''at each point'' by the geometric series test, but Σ\|''f''<sub>''n''</sub>(''x'')\| does not converge uniformly. Intuitively, this is because the absolute-convergence gets slower and slower as ''x'' approaches −1, where convergence holds but absolute convergence fails.

			== Generalizations ==

			If a series of functions is uniformly absolutely-convergent on some neighborhood of each point of a topological space, it is '''locally uniformly absolutely-convergent'''. If a series is uniformly absolutely-convergent on all compact subsets of a topological space, it is '''compactly (uniformly) absolutely-convergent'''. If the topological space is [[locally compact]], these notions are equivalent.

			== Properties ==

			* If a series of functions into ''C'' (or any [[Banach space]]) is uniformly absolutely-convergent, then it is uniformly convergent.
			* Uniform absolute-convergence is independent of the ordering of a series. This is because, for a series of nonnegative functions, uniform convergence is equivalent to the property that, for any ε > 0, there are finitely many terms of the series such that excluding these terms results in a series with total sum less than the constant function ε, and this property does not refer to the ordering.

			==See also==
			*[[Modes of convergence (annotated index)]]

			==References==

			<references/>

			{{DEFAULTSORT:Uniform Absolute-Convergence}}
			[[Category:Mathematical analysis]]
			[[Category:Convergence (mathematics)]]

en>Teapeat: cat orbits

2012-06-25T14:27:47Z

cat orbits

New page

If you present photography effectively, it helps you look much more properly at the globe around you. This means you can setup your mailing list and auto-responder on your wordpress site and then you can add your subscription form to any other blog, splash page, capture page or any other site you like. Your parishioners and certainly interested audience can come in to you for further information from the group and sometimes even approaching happenings and systems with the church. Keep reading for some great Word - Press ideas you can start using today. The number of options offered here is overwhelming, but once I took the time to begin to review the video training, I was amazed at how easy it was to create a squeeze page and a membership site. The Internet is a vast open market where businesses and consumers congregate. Some of the Wordpress development services offered by us are:. In case you loved this post and you wish to receive more info with regards to [http://emailsite.de/wordpress_dropbox_backup_9221554 backup plugin] assure visit our web site. It sorts the results of a search according to category, tags and comments. Being able to help with your customers can make a change in how a great deal work, repeat online business, and referrals you'll be given. Aided by the completely foolproof j - Query color selector, you're able to change the colors of factors of your theme a the click on the screen, with very little previous web site design experience. Your Word - Press blog or site will also require a domain name which many hosting companies can also provide. When a business benefits from its own domain name and a tailor-made blog, the odds of ranking higher in the search engines and being visible to a greater number of people is more likely. After age 35, 18% of pregnancies will end in miscarriage. You can allow visitors to post comments, or you can even allow your visitors to register and create their own personal blogs. Purchase these from our site, or bring your own, it doesn't matter, we will still give you free installation and configuration. Whether your Word - Press themes is premium or not, but nowadays every theme is designed with widget-ready. Cameras with a pentaprism (as in comparison to pentamirror) ensure that little mild is lost before it strikes your eye, however these often increase the cost of the digital camera considerably. Enterprise, when they plan to hire Word - Press developer resources still PHP, My - SQL and watch with great expertise in codebase. It's now become a great place to sell it thanks to Woo - Commerce. OSDI, a Wordpress Development Company based on ahmedabad, India. Internet is not only the source for information, it is also one of the source for passive income. As a website owner, you can easily manage CMS-based website in a pretty easy and convenient style. In simple words, this step can be interpreted as the planning phase of entire PSD to wordpress conversion process. 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.

Universal variable formulation - Revision history

en>Yobot: WP:CHECKWIKI errors fixed + general fixes, removed stub tag using AWB (8961)

en>Teapeat: cat orbits