en>Trappist the monk: Fix CS1 deprecated coauthor parameter errors using AWB

2014-03-28T10:23:39Z

Fix CS1 deprecated coauthor parameter errors using AWB

en>Luke Maurer: Dead links

2014-02-02T05:10:31Z

Dead links

← Older revision		Revision as of 07:10, 2 February 2014
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	~~Surely the second option would be more beneficial for any website. It~~ is ~~very easy to customize plugins according to the needs~~ of a particular business. Wordpress Content management systems, being customer friendly, can be used extensively to write and manage websites and blogs. s ultimately easy to implement and virtually maintenance free. If you have any concerns regarding exactly where and how to use [~~http://img.nhoxiu.com/profile/aicaulfiel wordpress backup plugin~~]~~, you can make contact with us at our page. All this is very simple, and~~ the ~~best thing is that it is totally free, and you don't need a domain name or web hosting~~. ~~<br><br>~~		In [[game theory]], an '''exact''' or '''even division''' is a type of [[fair division]] where all the players believe everyone received the same amount.

	~~Generally~~, ~~for my private income~~-~~making market websites, I will thoroughly research and discover the leading 10 most worthwhile niches~~ to ~~venture into~~. ~~If you~~ are a ~~positive thinker businessman then today you have to put your business online~~. Some ~~plugins ask users~~ to ~~match pictures~~ or ~~add numbers, and although effective, they appear unprofessional and unnecessary~~. ~~t need to use the back button or the URL to get to your home page~~. ~~Akismet is really a sophisticated junk e~~-~~mail blocker and it's also very useful thinking about I recieve many junk e~~-~~mail comments day~~-to-~~day across my various web-sites~~. <br><br>~~Saying that, despite~~ the ~~launch of Wordpress Express many months ago, there has still been no sign~~ of a ~~Wordpress video tutorial~~ on ~~offer UNTIL NOW~~. ~~Note: at a~~ first ~~glance WP Mobile Pro themes do not appear~~ to be ~~glamorous or fancy~~. ~~You~~'~~ve got invested~~ a ~~great cope of time developing~~ and ~~producing up~~ the ~~topic substance~~. ~~In crux~~ the ~~developer must have a detailed knowledge not only about~~ the ~~marketing tool but also about~~ the ~~ways in which~~ it can be ~~applied profitably~~. ~~After that~~ the ~~developer adds~~ the ~~unordered list for navigations.~~ <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~~. ~~Websites that do rank highly, do~~ so ~~becaue they use keyword-heavy post titles~~. ~~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. In simple words, this step~~ can be ~~interpreted as the planning phase of entire PSD~~ to ~~wordpress conversion process~~. ~~It is a fact that Smartphone using online customers do not waste much~~ of ~~their time in struggling with drop down menus. Customers within a few seconds after visiting a site form their opinion about the site~~.		There is no finite [[fair division]] procedure for exact division of divisible goods. However there are moving knife procedures for two players. For more than two players only near exact procedures are known, this is sufficient though to enable [[envy-free]] fair division procedures to be devised for any number of players.

			There are a number of existence proofs derived from [[measure theory]] or [[topology]] for exact divisions in various circumstances.

			Divisions of this type are much easier if the participants cooperate in establishing [[entitlement (fair division)\|entitlement]]s rather than competing as in [[fair division]]. Some authors refer to this as '''consensus division''' or '''consensus halving'''.<ref>{{Citation\| doi=10.1016/j.aim.2008.02.003\| last=de Longueville\| first=Mark\|coauthor=Rade T. Živaljević\|title=Splitting multidimensional necklaces\| journal=Advances in Mathematics\| year=2008\| volume=218\| pages=926–939\| postscript=.}}</ref><ref>{{Citation\| doi=10.1016/S0165-4896(02)00087-2\| last=Simmons\| first=Forest W.\|coauthor=Francis Edward Su\|title=Consensus-halving via theorems of Borsuk-Ulam and Tucker\| journal=Mathematical Social Sciences\| year=2003\| volume=45\| pages=15–25\| postscript=.}}</ref>

			==Two players==

			The original procedure for exact division of a cake devised by A.K.Austin is as follows:<ref>{{citation \|page=66\|
			author=Jack Robertson\| author2=William Webb \|year=1998\|
			title=Cake-Cutting Algorithms: Be Fair If You Can\|
			publisher=AK Peters Ltd\| isbn=1-56881-076-8}}</ref>

			*The first player places one knife on the left of the cake and a second parallel to it on the right where he judges it splits the cake in two.
			*The first player moves both knives to the right so half the cake is always between the two knives.
			*The second player says stop when they think half the cake is between the knives.

			If the first player reaches the end he must have his left knife positioned where the right knife started. The [[intermediate value theorem]] establishes the second player must be satisfied the cake is halved at some point. Giving the pieces at random to the players can be used to ensure they don't favour either part.

			One knife can be used to achieve the same effect. The first player rotates the knife over the cake through 180° keeping a half on either side and the second player says when they agree. The first player must of course end the turn with the knife on the same line as where it started.

			Exact division with any rational ratio of [[entitlement (fair division)\|entitlement]]s can also be achieved for two players by a slightly more complicated procedure.

			==Near exact division==

			For more than two players there is no known procedure for exact division, but near exact divisions are possible. This means for any given <math>\epsilon > 0</math> one can ensure the players each believe the values everyone has differ by less than <math>\epsilon</math>.

			This is achieved by the players all splitting up the cake into tiny bits and assigning a value to each bit. This means each bit has a vector of values, one per player. The bits are then selected so the players get allocations in near exact proportion to their entitlements. This can always be done due to a theorem by V.Bergström.<ref>{{ citation\|title=Zwei Sätze über ebene Vectorpolygone\|
			author=V. Bergström\|
			journal=Hamburgische Abhandlungen\|volume=8\|year=1930\|pages=205–219}}</ref><ref>{{citation \|pages=126–128\|
			author=Jack Robertson\| author2=William Webb \|year=1998\|
			title=Cake-Cutting Algorithms: Be Fair If You Can\|
			publisher=AK Peters Ltd\| isbn=1-56881-076-8}}</ref>

			A constructive way to divide a resource in two parts with ''n'' cuts so all of ''n'' people think the halves are of equal was established in 2003.<ref>{{citation \| doi=10.1016/S0165-4896(02)00087-2 \| last=Simmons\| first=Forest W.\|coauthor=Francis Edward Su\|title=Consensus-halving via theorems of Borsuk-Ulam and Tucker\| journal=Mathematical Social Sciences\| year=2003\| volume=45\| pages=15–25}}</ref> This ''consensus halving'' theorem uses the [[Borsuk–Ulam theorem]] and [[Tucker's lemma]] and the ''n'' cuts is the minimum possible.

			==Existence proofs==

			Both the [[necklace splitting problem]] and a generalization of the [[ham sandwich theorem]] can be used to establish existence proofs for exact divisions in various circumstances.<ref>{{citation \|
			author=B. Grünbaum \|author-link=Branko Grünbaum\|
			title=Partitions of mass–distributions and convex bodies by hyperplanes\| journal=Pacific J. Math\|
			volume=10 \|year=1960 \|pages=1257–1261}}</ref>

			==References==
			{{reflist}}

			{{DEFAULTSORT:Exact Division}}
			[[Category:Fair division]]

en>Phileasson: Undid revision 460856103 by 212.92.242.148 (talk)

2011-11-15T22:51:05Z

Undid revision 460856103 by 212.92.242.148 (talk)

New page

Surely the second option would be more beneficial for any website. It is very easy to customize plugins according to the needs of a particular business. Wordpress Content management systems, being customer friendly, can be used extensively to write and manage websites and blogs. s ultimately easy to implement and virtually maintenance free. If you have any concerns regarding exactly where and how to use [http://img.nhoxiu.com/profile/aicaulfiel wordpress backup plugin], you can make contact with us at our page. All this is very simple, and the best thing is that it is totally free, and you don't need a domain name or web hosting. 

Generally, for my private income-making market websites, I will thoroughly research and discover the leading 10 most worthwhile niches to venture into. If you are a positive thinker businessman then today you have to put your business online. Some plugins ask users to match pictures or add numbers, and although effective, they appear unprofessional and unnecessary. t need to use the back button or the URL to get to your home page. Akismet is really a sophisticated junk e-mail blocker and it's also very useful thinking about I recieve many junk e-mail comments day-to-day across my various web-sites. Saying that, despite the launch of Wordpress Express many months ago, there has still been no sign of a Wordpress video tutorial on offer UNTIL NOW. Note: at a first glance WP Mobile Pro themes do not appear to be glamorous or fancy. You've got invested a great cope of time developing and producing up the topic substance. In crux the developer must have a detailed knowledge not only about the marketing tool but also about the ways in which it can be applied profitably. After that the developer adds the unordered list for navigations. Numerous bloggers are utilizing Word - Press and with good reason. 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. 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. 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. In simple words, this step can be interpreted as the planning phase of entire PSD to wordpress conversion process. It is a fact that Smartphone using online customers do not waste much of their time in struggling with drop down menus. Customers within a few seconds after visiting a site form their opinion about the site.

Ambient calculus - Revision history

en>Trappist the monk: Fix CS1 deprecated coauthor parameter errors using AWB

en>Luke Maurer: Dead links

en>Phileasson: Undid revision 460856103 by 212.92.242.148 (talk)