en>Mark viking: Added context to first sentence

2013-09-25T19:54:41Z

Added context to first sentence

← Older revision		Revision as of 21:54, 25 September 2013
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	~~If an existing Word - Press code is found vulnerable~~, ~~Word - Press will immediately issue an update for that. Also~~, you may want to opt for a more professioanl theme if you are planning on showing your site off to a high volume of potential customers each day. SEO Ultimate - I think this plugin deserves more recognition than it'~~s gotten up till now~~. ~~They found out all the possible information about bringing up your baby and save money at the same time~~. ~~For those who have virtually any questions with regards to wherever and also the way to make use of~~ [http://~~scridle~~.nl/~~wordpress_backup_plugin_478892 backup plugin~~]~~, you~~'~~ll be able to call us with our website. You can customize the appearance with PSD to Word - Press conversion~~ ''. <br><br>		In [[computational geometry]], the '''largest empty rectangle problem,'''<ref>[http://scholar.google.com/scholar?hl=en&lr=&q=%22largest+empty+rectangle%22&btnG=Search "largest empty rectangle" term usage]</ref> '''maximal empty rectangle problem'''<ref>[http://scholar.google.com/scholar?hl=en&lr=&q=%22maximal+empty+rectangle%22&btnG=Search "maximal empty rectangle" term usage]</ref> or '''maximum empty rectangle problem''',<ref>[http://scholar.google.com/scholar?hl=en&lr=&q=%22maximum+empty+rectangle%22&btnG=Search"maximum empty rectangle" term usage]</ref> is the problem of finding a [[rectangle]] of maximal size to be placed among obstacles in the plane. There are a number of variants of the problem, depending on the particularities of this generic formulation, in particular, depending on the measure of the "size", domain (type of obstacles), and the orientation of the rectangle.

	~~Thus~~, ~~it is imperative that you must Hire Word - Press Developers who have the expertise and proficiency~~ in ~~delivering theme integration~~ and ~~customization services~~. ~~When you write a new post~~, ~~you~~'~~ll see a small bar that goes across the text input area~~. A ~~Wordpress plugin~~ is a ~~software that you can install into your Wordpress site~~. ~~You can add new functionalities~~ and ~~edit~~ the ~~existing ones~~ to ~~suit your changing business needs~~. ~~That~~'s a ~~total~~ of ~~180$~~ for ~~each Wordpress theme if you sell 3 links and keep~~ the ~~designer link for your own website~~, or ~~240$ if you sell all links~~. <br><br>~~The entrepreneurs can easily captivate their readers by using these versatile themes~~. ~~Browse through~~ the ~~popular Wordpress theme clubs like~~ the ~~Elegant Themes~~, ~~Studio Press~~, ~~Woo - Themes~~, ~~Rocket Theme~~, ~~Simple Themes and many more~~. ~~I've applied numerous Search engine optimization~~-~~ready Word~~ - ~~Press themes~~ and ~~I can say from knowledge that I consider the Genesis Search engine marketing panel one particular of the simplest to use~~. ~~Newer programs allow website owners~~ and ~~internet marketers to automatically and dynamically change words in their content to match~~ the ~~keywords entered by their web visitors in their search queries~~'a ~~feat that they cannot easily achieve~~ with ~~older software. If you~~'~~ve hosted your Word - Press website on a shared hosting server then it~~'~~ll be easier for you to confirm~~ the ~~restricted access to your site files~~. <br><br>~~Numerous bloggers are utilizing Word - Press and with good reason. But the Joomla was created as~~ the ~~CMS over years~~ of ~~hard work~~. ~~Normally~~, ~~the Word - Press developers make a thorough research on your website goals~~ and ~~then ingrain the most suitable graphical design elements to your website~~. ~~A whole lot worse, your site will likely be useless as well as your merchandise won't sell if no one has the endurance to wait~~ for the ~~web pages to load~~. The ~~popularity~~ of ~~Word~~ - ~~Press has increased~~ the ~~demand for Word~~ - ~~Press themes and these themes sells like hot cake on the internet~~. <br><br>~~He loves sharing information regarding wordpress~~, ~~Majento~~, ~~Drupal and Joomla development tips & tricks~~. ~~I'm~~ a ~~large fan~~ of ~~using Word~~ - ~~Press to create pretty much any sort~~ of ~~web page~~. ~~Offshore Wordpress development services from a legitimate source caters dedicated~~ and ~~professional services assistance~~ with ~~very simplified yet technically effective development and designing techniques from experienced professional Wordpress developer India~~. ~~In addition~~, ~~Word - Press design integration is also possible~~. ~~As with a terminology~~, ~~there are many methods to understand how to use the terminology~~.		The problems of this kind arise e.g., in [[electronic design automation]], in design and verification of [[physical layout]] of [[integrated circuit]]s. <ref>[[Jeffrey Ullman]], ''Computational Aspects of [[VLSI]]'', Computer Science Press, 1984, ISBN 0-914894-95-1—Chapter 9: "Algorithms for VLSI Design Tools" describes algorithms for [[polygon operations]] involved in electronic design automation ([[design rule checking]], [[circuit extraction]], [[placement and routing]]).</ref>

			A '''maximal empty rectangle''' ('''MER''') is a rectangle which is not contained in another empty rectangle. Each side of a MER abuts an obstacle (otherwise the side may be shifted outwards, increasing the empty rectangle). An application of this kind is enumeration of "maximal white rectangles" in [[image segmentation]] R&D of [[image processing]] and [[pattern recognition]]. <ref>Baird, H. S., Jones, S. E., Fortune, S.J. " Image segmentation by shape-directed covers", Proc. 10th [[International Conference on Pattern Recognition]], 1990, vol. 1, pp. 820–825, {{doi\|10.1109/ICPR.1990.118223}}</ref> In the contexts of many algorithms for largest empty rectangles, "maximal empty rectangles" are candidate solutions to be considered by the algorithm, since it is easily proven that, e.g., a '''maximum-area empty rectangle''' is a maximal empty rectangle.

			==Classification==
			In terms of size measure, the two most common cases are the '''largest-area empty rectangle''' and '''largest-perimeter empty rectangle.'''<ref>[[Alok Aggearwal]], [[Subhash Suri]], "Fast algorithms for computing the largest empty rectangle", Proc. 3rd Annu. [[Symposium on Computational Geometry]], 1987, 278–290, {{doi\|10.1145/41958.41988}} </ref>

			Another major classification is whether the rectangle is sought among [[axis-oriented]] or arbitrarily oriented rectangles.

			==Special cases ==

			===Maximum-area square===

			The case when the sought rectangle is an axis-oriented square may be treated using [[Voronoi diagram]]s in <math>L_1</math>metrics for the corresponding obstacle set, similarly to the [[largest empty circle]] problem. In particular, for the [[#Domain: rectangle containing points\|case of points within rectangle]] an optimal algorithm of [[time complexity]] <math>\Theta(n \log n)</math> is known. <ref>[[Bernard Chazelle\|B. Chazelle]], R. L. Drysdale III and [[D. T. Lee]], "Computing the largest empty rectangle", [[STACS]]-1984, ''[[Lecture Notes in Computer Science]]'', vol. 166, 1984, pp. 43–54, {{doi\|10.1007/3-540-12920-0_4}}</ref>

			===Domain: rectangle containing points===
			A problem first discused by Naamad, Lee and Hsu in 1983<ref>A. Naamad, [[D. T. Lee]] and W.-L. Hsu "On the Maximum Empty Rectangle Problem", ''[[Discrete Applied Mathematics]]'' 1984, pp. 267–277</ref> is stated as follows: given a rectangle ''A'' containing ''n'' points, find a largest-area rectangle with sides parallel to those of ''A'' which lies within ''A'' and does not contain any of the given points. Naamad, Lee and Hsu presented an algorithm of [[time complexity]] <math>O(\min(n^2,s \log n))</math>, where ''s'' is the number of feasible solutions, i.e., maximal empty rectangles. They also proved that <math>s= O(n^2)</math> and gave an example in which ''s'' is quadratic in ''n''. Afterwards a number of papers presented better algorithms for the problem.

			===Domain: line segment obstacles===

			The problem of empty isothetic rectangles among [[Isothetic polygon\|isothetic]] line segments was first considered<!--a ref to the claim that it was "first --><ref name=noniso>"Location of Largest Empty Rectangle among Arbitrary Obstacles" [http://books.google.com/books?id=JWOA9M9CcX8C&pg=PA159&dq=%22maximal+empty+rectangle%22 p. 159]</ref> in 1990.<ref>"Efficient algorithms for identifying all maximal isothetic empty rectangles in VLSI layout design", Proc. FST & TCS – 10, ''[[Lecture Notes in Computer Science]], vol. 437, 1990, pp. 255–269</ref> Later a more general problem of empty isothetic rectangles among non-isothetic obstacles was considered.<ref name=noniso/>

			==Generalizations==
			===Higher dimensions===
			In 3-dimensional space, algorithms are known for finding a largest maximal empty isothetic [[cuboid]] problem, as well as for enumeration of all maximal isothetic empty cuboids. <ref>S.C. Nandy and B.B. Bhattacharya, "Maximal Empty Cuboids among Points and Blocks", ''Computers & Mathematics with Applications'', vol. 36, issue 3, 1998, pp. 11–20, {{doi\|10.1016/S0898-1221(98)00125-4 }}</ref>

			==See also==
			*[[Largest empty sphere]]

			==References==
			{{reflist}}

			[[Category:Geometric algorithms]]

24.52.232.123: /* Example 2: integral calculation */

2012-04-08T16:16:01Z

Example 2: integral calculation

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en>Mark viking: Added context to first sentence

24.52.232.123: /* Example 2: integral calculation */