Inertia tensor of triangle - Revision history

en>David Eppstein: /* Covariance of the triangle in question */ Fix "Missing argument for mathbg" error (lack of brackets on overline arg caused mathbf to become separated from its {x})

2014-10-18T06:26:25Z

Covariance of the triangle in question: Fix "Missing argument for mathbg" error (lack of brackets on overline arg caused mathbf to become separated from its {x})

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en>Fgegypt at 21:06, 7 April 2013

2013-04-07T21:06:48Z

← Older revision		Revision as of 23:06, 7 April 2013
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			In [[mathematics]], '''minimum polynomial extrapolation''' is a [[sequence transformation]] used for [[convergence acceleration]].

			While [[Aitken's method]] is the most famous, it often fails for vector sequences. An effective method for vector sequences is the minimum polynomial extrapolation. It is usually phrased in terms of the [[fixed point iteration]]:

	~~Once you are sufficiently recovered, work with a [http~~:~~//www~~.~~dict.cc~~/~~?s=qualified+personal qualified personal] injury firm to represent your legal rights~~. ~~Try looking for the nearest lawyer found in your town. According to the instruction of the lawyers, victims are also told what to do and what information may be needed in the case~~. ~~She finds her happiness helping others and in sharing to people what she knows through writing articles~~. ~~Although a lawsuit may have been started~~, ~~settlement is always possible and is [http:~~//~~www.youtube.com~~/~~watch?v=D3fHaPD5K80 John Foy] often made just before trial. <br~~><br>~~Cooper and his partner~~, ~~Jose Morales~~, ~~gave their real names because they use aliases when working undercover~~. ~~Another important characteristic of a capable car accident attorney St~~. ~~The injury attorney can check out the many evidences and specifics of a matter and after which get over it to check that all the likely loopholes~~ are ~~addressed. Keep in mind a car accident lawyer that has positive reviews about winning against the opposite party. At~~ the ~~very least they can tell you who to avoid if they did not have a pleasant experience.~~ <br><br>~~As a young boy~~, ~~he came home in shock~~ one ~~day after going to hang out with a friend. He will try to negotiate a claim by safeguarding all your legal rights. Think about your relationship with~~ the ~~person asking you to co~~-~~sign~~. ~~Finally,~~ the ~~second chapter~~ of ~~"October Sky" ends with Sonny Hickam and his friends attempting to make~~ and ~~launch their own rocket in his backyard. In~~ the ~~internet you can easily come across websites that feature legal services where you can choose a good lawyer.~~ <br><br>~~Most legal professionals would likely agree that an insurance company typically has their company's best interest in mind. If you are planning on hosting events at your home~~, ~~be sure the furnishings are opulent and that you fill your home with original artwork and expensive accessories~~. ~~t fully insured, you could have more trouble on your hands than you bargained for according to your state~~. ~~The insurance company will want to pay you as little as possible~~. It is the ~~first book in~~ the ~~series which features the Dollanganger children and it is filled with family conflicts, sibling relationships, betrayal and other delicious angst.~~ <br><br>~~This would have material declarations and component analysis as elements, among other things. You may also find other experts like a car accident lawyer Washington over here~~. The ~~compensation which a victim receives depends entirely upon~~ the ~~manner in which the Missouri car accident attorney handles their case. s department of motor vehicles to find out whether other people. They are knowledgeable~~, ~~learned and well experienced in every type of accidents~~, ~~and also have the expertise in dealing with different authorities like insurance companies~~, ~~medical authorities~~, ~~lawyers or the judge in the case.~~		: <math>x_{k+1}=f(x_k).</math>

			Given iterates <math>x_1, x_2, ..., x_k</math> in <math>\Bbb R^n</math>, one constructs the <math>n \times (k-1)</math> matrix <math>U=(x_2-x_1, x_3-x_2, ..., x_k-x_{k-1})</math> whose columns are the <math>k-1</math> differences. Then, one computes the vector <math>c=U^+ (x_{k+1}-x_k)</math> where <math>U^+</math> denotes the Moore–Penrose [[Moore–Penrose_pseudoinverse\|pseudoinverse]] of <math>U</math>. The number 1 is then appended to the end of <math>c</math>, and the extrapolated limit is

			:<math>s={ X c \over \sum_{i=1}^k c_i },</math>

			where <math>X=(x_2, x_3, ..., x_{k+1})</math> is the matrix whose columns are the <math>k</math> iterates starting at 2.

			The following 4 line MATLAB code segment implements the MPE algorithm:

			<pre>
			U=x(:,2:end-1)-x(:,1:end-2);
			c=-pinv(U)*(x(:,end)-x(:,end-1));
			c(end+1,1)=1;
			s=(x(:,2:end)*c)/sum(c);
			</pre>

			[[Category:Numerical analysis]]
			{{mathanalysis-stub}}

en>Ego White Tray: Delete stale merge tag

2012-04-15T05:07:24Z

Delete stale merge tag

New page

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