Paleosalinity - Revision history

en>Monkbot: /* Importance */Task 3: Fix CS1 deprecated coauthor parameter errors

2014-07-20T03:53:41Z

Importance: Task 3: Fix CS1 deprecated coauthor parameter errors

← Older revision		Revision as of 05:53, 20 July 2014
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	~~In [[combinatorial optimization]]~~, a ~~field within mathematics, the '''linear bottleneck assignment problem''' ('''LBAP''~~'~~) is similar~~ to the ~~[[linear assignment problem]]~~. ~~<ref>[http://www~~.~~assignmentproblems~~.~~com/ Assignment Problems]~~, ~~by [[Rainer Burkard]]~~, ~~Mauro Dell~~'~~Amico, Silvano Martello, 2009, Chapter 6~~.2 "[http://books.google.com/books?id=nHIzbApLOr0C&pg=PA198&dq=%22bottleneck+assignment+problem%22&hl=en&ei=A7f0S9DjMYH6sQOYt8CIBQ&sa=X&oi=book_result&ct=result&resnum=2&ved=0CDIQ6AEwAQ#v=onepage&q=%22bottleneck%20assignment%20problem%22&f=false Linear Bottleneck Assignment Problem]" (p. 172)<~~/ref~~>		I've seen worse, fallen from worse, but there is a nice ride-around if you don't want to start the ride off with wounded bike or body parts. Therefore, you ought to verify the fork, the wheels and the suspensions together with two or three particulars. You will find two main forms of mountain and road bike stems. Music sounds better with a background like the Continental Divide, and you simply may find out once and for all, as there are music vacations and concerts happening just about each weekend in the summertime. Just like coasting, you'll also spend a great deal of time pedaling while standing. <br><br>

	~~In plain words the problem is stated as follows:~~		However, you still have to choose the right Santa Cruz bikes for yourself. In fact, Downhill Mountain biking is the most popular form of competition biking. From free shipping on all the bikes across the US, the Road Bike Outlet makes consumers happy anywhere within 1 to 6 days. If you liked this write-up and you would certainly such as to obtain more details pertaining to [http://liftreklama.ru/node/1268984 Transfering to mountain bike sizing.] kindly go to our own webpage. From personal experience they can be not easy to maintain by yourself so a mechanical system may be better for you. 4" wide Schwalbe that can run at 25 psi to behave as passive suspension. <br><br>you know, right before making myself all nice and pretty before climbing on my bike and heading to work. * Numbness - Impingement of small nerve branches between the second and third or third and fourth toes can cause swelling that results in numbness, tingling, or burning, or sharp shooting pains into the toes. Please remember the stem lengths can impact just how reactive the bike is. Just like a rectangle you have 2 long sides and 2 short sides. The most common sized crankset is the 170 millimeter. <br><br>Decide how and where you want to ride, then choose a mountain bike that fits your personal style, rather than that of the sales staff. Find more information about Hardtail mountain bikes here. But older children may have more adventurous tastes, and want for toys that are - well, still miniatures, but are flashier, more expensive, and more functional. People like to ride the mountain bike to those terrains because they enjoy the thrill and the adventure. You should be selective in choosing mountain bike tires since mountain bike is already made heavy and if you choose heavy tires you should consider yourself about how you will handle the bike and the terrain at the same time. <br><br>You may even consider purchasing two different helmets and prepare yourself for all sorts of these riding experience. If you are cycling on incredibly tough uneven ground through woods, up mountains etc you would need a full suspension mountain bike. The best way of getting mountain bike components is shopping online. Mountain bike wheels provide a good mixture of traction, stability, and sturdiness ; and different riding conditions need specific types of mountain bicycle wheels. Some riders advocate the additional technical the trail the greater a hardtail mountain bikeis sought after.
	~~:There are a number of ''agents'' and a number of ''tasks''. Any agent can be assigned to perform any task~~, ~~incurring some ''cost'' that may vary depending on the agent-task assignment. It is required~~ to ~~perform all tasks by assigning exactly one agent to each task in such a way that~~ the ~~''maximum cost'' among the individual assignments is minimized~~.

	~~The term "[[bottleneck]]" is explained by a common type of application of the problem~~, ~~where the cost~~ is the ~~duration~~ of the ~~task performed by an agent. In this setting~~ the ~~"maximum cost" is "maximum duration"~~, ~~which is~~ the ~~bottleneck for the schedule of the overall job,~~ to ~~be minimized~~.

	~~==Formal definition==~~
	~~The formal definition of the bottleneck assignment problem is~~

	~~:Given two sets, ''A''~~ and ~~''T'', together with a [~~[~~weight function]] ''C''~~ : ~~''A'' × ''T'' → '''[[real number\|R~~]~~]'''~~. ~~Find~~ a ~~[[bijection]] ''f'' : ''A'' → ''T'' such~~ that ~~the [[Loss function\|cost function]]:~~

	::<~~math~~>~~\max_{a\in A}C(a,f(a))~~<~~/math~~>
	~~:is minimized~~.

	~~Usually~~ the ~~weight function is viewed as a square real-valued [[matrix (mathematics)\|matrix]] ''C'', so~~ that ~~the cost function is written down as:~~

	~~::<math>\max_{a\~~in ~~A}C_{a~~,~~f(a)}</math>~~

	~~==Mathematical programming formulation==~~
	~~:<math> \min \~~, ~~\max_{i,j} c_{ij}x_{ij}</math>~~
	~~subject to:~~
	~~:<math>~~
	~~\sum^n_{ j = 1} x_{ij} = 1 (i = 1~~,2~~,\dots, n),~~
	<~~/math~~>
	:<~~math~~>
	~~\sum^n_{ i = 1} x_{ij} = 1 (j = 1~~,2,~~\dots~~, ~~n),~~
	~~</math>~~
	~~:<math>~~
	~~x_{ij} \in \{0~~,~~1\} (i~~, ~~j = 1~~,2,~~\dots,n)~~
	~~</math>~~

	~~==Asymptotics==~~
	~~Let <math> c^*_n </math> denote~~ the ~~optimal objective function value for~~ the ~~problem with ''n'' agents~~ and ~~''n'' tasks~~. If the ~~costs~~ <~~math~~> ~~c_{ij}~~ <~~/math~~> are ~~sampled from the uniform distribution~~ on (0,~~1), then <ref> Michael Z~~. ~~Spivey, "Asymptotic Moments~~ of ~~the Bottleneck Assignment Problem," ''Mathematics~~ of ~~Operations Research''~~, ~~36 (2): 205-226~~, ~~2011~~. ~~</ref>~~
	~~:<math> E[c^*_n] = \frac{\log n + \log 2 + \gamma}{n} + O\left(\frac{(\log n)^2}{n^{7/5}}\right)</math>~~
	~~and~~
	~~:<math> Var[c_n^*] = \frac{\zeta(2) - 2(\log 2)^2}{n^2} + O\left( \frac{(\log n)^2}{n^{7/3}}\right)~~.~~</math>~~

	~~==References==~~
	~~{{reflist}}~~

	~~[[Category:Combinatorial optimization]]~~

130.235.100.9 at 11:33, 6 May 2013

2013-05-06T11:33:17Z

← Older revision		Revision as of 13:33, 6 May 2013
Line 1:		Line 1:
	~~Overall~~ the ~~Mini Griptilian~~ is an excellent light-weight knife and near-excellent for on a regular basis use. All however one reviewer on Amazon has rated this knife 5 stars so it’s clear we're not alone in our reward. It can be had for lower than $100. >~~> Click here for present pricing and critiques on the Mini Griptilian. Buck 110 So, you’re here looking for the perfect pocket knife! Luckily~~ [http://www.~~thebestpocketknifereviews~~.com/~~best-skinning-knife-choose-the-best-model/ skinning Knife~~], ~~you will have come to the right place. On this article~~, I'~~ll speak you through the process of finding the very best knife to fit your needs~~. ~~As well as, I will make just a few recommendations for specific knives which may meet your needs~~.<br>~~<br><br><br>Bosch 2700ES Aquastar that runs on liquid propane delivers around 7.2 gallons~~ of ~~hot water in just~~ a ~~minute~~. ~~If you have decided~~ to ~~mount this water heater~~, ~~relaxation assured it~~'~~ll require a small ceiling area~~. ~~Backed with optimistic buyer testimonials, Bosch 2700ES Aquaster can provide hot water~~ to ~~multiple electrical appliances at~~ one ~~time. For instance, you could wish~~ to ~~use the shower~~ in ~~addition to run~~ the ~~dishwasher and washing machine. Now, operating all these appliances on~~ the ~~same time means, a steady supply of sizzling water~~ is ~~a should. This can be simply achieved when you have Bosch 2700ES Aquastar put in in your house~~.~~<br><br>~~The ~~Gerber Primary~~ is a ~~rock solid fastened blade effective edge knife that feels and looks easy~~, ~~but it's fairly advanced with~~ the ~~entire included options. The Basic features a 3.forty inch high-quality edge blade with a serrated edge that takes up simply lower than half~~ of the ~~knife blade~~. ~~The knife size~~ is ~~about 6.60 inches lengthy and 6.eighty inches long with the sheath included. The deal with of~~ the ~~knife has a groove~~ for the ~~index finger and options smaller grooves for~~ the ~~remainder of your fingers~~. The ~~Gerber Fundamental~~ is ~~extraordinarily sturdy~~, ~~helpful~~, ~~and accessible~~.<br><br>~~By way of each style and dimension, no one normal applies to all doors~~. ~~Whereas hole-core flat-floor doorways are commonly used inside~~ the ~~house, exterior doorways often~~ function ~~panels and windows. Door widths differ from 28 to 36 inches, and the two commonest heights are 78 inches - usually expressed~~ as 6-~~foot-6 - and 80 inches~~, ~~which~~ is ~~6-foot-eight. The latter peak is the extra frequent measurement~~, ~~and you'll have to chop the door to fit into~~ a ~~6-foot-6 opening. To preserve the symmetry of the door~~, ~~it is best~~ to ~~chop equal amounts from both ends.~~<br><br>~~I was nonetheless [http~~://~~Esmikorea.Ezconn.net~~/~~xe/?document_srl=88185 intrigued] by~~ the ~~little pocket sharpener, so I requested my good friend if I might take it residence with me and provides it a attempt. Since he had paid lower than $10.00~~ for ~~it and it did not work for him, he gave it to me. I used to be wanting at~~ the ~~sharpener from a unique angle than my pal~~ and ~~I believed that it might even have some uses in a bugout situation~~. ~~Once I bought residence, I took some old pocket knives that have been very boring and ran them through~~ the ~~carbide rods until the blade adjusted to the 23 degree angle of the rods.~~<br><br>~~To test~~ the ~~pants and jacket~~, ~~we wore them throughout cold climate discipline assessments~~ of ~~all~~ the ~~gear in our upcoming~~ "~~Made within the USA" article. The conditions ranged from extremely windy snow~~-~~driven days with temps right down to the only digits~~, ~~to calm sunny climate within the 40s~~. ~~The results? We cherished them! They match like an outdated glove, breathe nicely~~ and ~~have an indestructible feel to them. They're particularly good to have on when getting near a campfire since wool is of course hearth resistant~~ (~~no burn holes such as you get with synthetic clothes~~).		In [[combinatorial optimization]], a field within mathematics, the '''linear bottleneck assignment problem''' ('''LBAP''') is similar to the [[linear assignment problem]]. <ref>[http://www.assignmentproblems.com/ Assignment Problems], by [[Rainer Burkard]], Mauro Dell'Amico, Silvano Martello, 2009, Chapter 6.2 "[http://books.google.com/books?id=nHIzbApLOr0C&pg=PA198&dq=%22bottleneck+assignment+problem%22&hl=en&ei=A7f0S9DjMYH6sQOYt8CIBQ&sa=X&oi=book_result&ct=result&resnum=2&ved=0CDIQ6AEwAQ#v=onepage&q=%22bottleneck%20assignment%20problem%22&f=false Linear Bottleneck Assignment Problem]" (p. 172)</ref>

			In plain words the problem is stated as follows:
			:There are a number of ''agents'' and a number of ''tasks''. Any agent can be assigned to perform any task, incurring some ''cost'' that may vary depending on the agent-task assignment. It is required to perform all tasks by assigning exactly one agent to each task in such a way that the ''maximum cost'' among the individual assignments is minimized.

			The term "[[bottleneck]]" is explained by a common type of application of the problem, where the cost is the duration of the task performed by an agent. In this setting the "maximum cost" is "maximum duration", which is the bottleneck for the schedule of the overall job, to be minimized.

			==Formal definition==
			The formal definition of the bottleneck assignment problem is

			:Given two sets, ''A'' and ''T'', together with a [[weight function]] ''C'' : ''A'' × ''T'' → '''[[real number\|R]]'''. Find a [[bijection]] ''f'' : ''A'' → ''T'' such that the [[Loss function\|cost function]]:

			::<math>\max_{a\in A}C(a,f(a))</math>
			:is minimized.

			Usually the weight function is viewed as a square real-valued [[matrix (mathematics)\|matrix]] ''C'', so that the cost function is written down as:

			::<math>\max_{a\in A}C_{a,f(a)}</math>

			==Mathematical programming formulation==
			:<math> \min \, \max_{i,j} c_{ij}x_{ij}</math>
			subject to:
			:<math>
			\sum^n_{ j = 1} x_{ij} = 1 (i = 1,2,\dots, n),
			</math>
			:<math>
			\sum^n_{ i = 1} x_{ij} = 1 (j = 1,2,\dots, n),
			</math>
			:<math>
			x_{ij} \in \{0,1\} (i, j = 1,2,\dots,n)
			</math>

			==Asymptotics==
			Let <math> c^*_n </math> denote the optimal objective function value for the problem with ''n'' agents and ''n'' tasks. If the costs <math> c_{ij} </math> are sampled from the uniform distribution on (0,1), then <ref> Michael Z. Spivey, "Asymptotic Moments of the Bottleneck Assignment Problem," ''Mathematics of Operations Research'', 36 (2): 205-226, 2011. </ref>
			:<math> E[c^*_n] = \frac{\log n + \log 2 + \gamma}{n} + O\left(\frac{(\log n)^2}{n^{7/5}}\right)</math>
			and
			:<math> Var[c_n^*] = \frac{\zeta(2) - 2(\log 2)^2}{n^2} + O\left( \frac{(\log n)^2}{n^{7/3}}\right).</math>

			==References==
			{{reflist}}

			[[Category:Combinatorial optimization]]

en>Niceguyedc: WPCleaner (v1.10) Headline hierarchy (Fixed using WP:WCW)

2012-02-14T09:41:36Z

WPCleaner (v1.10) Headline hierarchy (Fixed using WP:WCW)

New page

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