Matrix differential equation - Revision history

en>Dr Greg: Reverted 1 edit by 130.88.99.220 (talk). (TW)

2014-11-06T02:39:45Z

Reverted 1 edit by 130.88.99.220 (talk). (TW)

← Older revision		Revision as of 04:39, 6 November 2014
Line 1:		Line 1:
	~~[http://news.goldgrey.org/silver/ http://news.goldgrey.org/silver/] The recent optimism asserted itself again Friday supported~~ by ~~U.S.corporate earnings~~ and ~~some blind faith~~ the ~~Europeans can fix their debt crisis. At least they appear to be working on~~ it ~~with some harmony from recent rhetoric~~.~~<br><br><br><br>Everyone is eager to make money so that we can get more out of this world~~. ~~Go traveling~~, ~~shopping with your loved ones and having good food. Whether it is by doing business~~, ~~investing in stocks or real estate, we all dream of making it big. Our aim is~~ to ~~make money~~. ~~Some also turn~~ to ~~gambling to make a living but there is nothing wrong with it as long as it~~ is not ~~illegal~~. ~~Professional poker players are earning more than~~ you and ~~me now. The same theory applies to sports betting, many people would try~~ their ~~'luck' to earn cash from it. And fortunately for some, they are very well at it~~.<br><br>~~Develop a Strategy - Have a goal and a plan. Identify the reasons that make you want~~ to ~~trade stocks. [http://Www.reddit.com/r/howto/~~search~~?q=Include Include] how much profit you expect to make and how much loss you can take. Put a time frame for your objectives as well. This helps you identify if you~~ are ~~a risk~~-~~taker or a conservative investor and adjust your approach appropriately.<br><br>That's understandable~~. The ~~beginnings can be~~, ~~and usually are, challenging~~. ~~But it's easy~~ to ~~handle this if you simplify things. Simple things are not necessarily worse than complex ones, so before you decide~~ to ~~embark on using~~ the ~~top notch trading technology, I suggest that you explore some really simple options, some basic yet solid elements that has been around for a very long time and are here to stay~~.~~<br><br>Bear in mind~~, ~~every stock trading strategy comes~~ with ~~its own set~~ of ~~advantages and risks', knowing these~~ is ~~vital to determining~~ the ~~stock trading you want to do~~. ~~Let's take a look at some of~~ the ~~stock traders out there and what kind~~ of ~~stock trading they do~~.<br><br>~~The number one thing~~ to ~~keep in mind~~ if you ~~are new~~ to ~~trading stocks is to start small and work~~ your ~~way~~ up. ~~The last thing you want is to jump into a shark tank unprepared and lose thousands~~ of ~~dollars~~. ~~Start~~ with ~~low lots~~ of ~~shares such as 100 as this~~ is ~~much easier to take in if the shares go against~~ you.<br><br>~~Of course~~, ~~you will not always be able~~ to ~~predict~~ the ~~future correctly unless~~ you ~~are clairvoyant or are engaging in illegal insider trading. If neither of these two is true of~~ you ~~then it's obvious that you'll make mistakes sometimes~~. ~~After all, you're working under sub~~-~~optimal conditions~~. ~~You're using conflicting information~~ to ~~guide your decision making process~~. ~~Your brain isn't meant~~ to ~~work under these conditions but yet here~~ you ~~are~~, ~~slogging through~~ and ~~doing the best you can~~.<br><br>~~One~~ of ~~the reasons more~~ and ~~more people~~ are ~~trading stocks~~ using ~~stock trading systems has been~~ the ~~need~~ to ~~have more control over risk~~. ~~After the sharp decline~~ in ~~stock prices starting about April 2000 we all started~~ to ~~realize~~ that ~~maybe there is more to making money in~~ the ~~stock market than "buy and hold"~~.		by Nas, is very fitting and the film agrees with it. Medical word press themes give you the latest medical designs. Wordpress Content management systems, being customer friendly, can be used extensively to write and manage websites and blogs. Transforming your designs to Word - Press blogs is not that easy because of the simplified way in creating your very own themes. After activating, you will find their website link and get the activation code from their website. <br><br>

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en>Myasuda: /* Stability and steady state of the matrix system */ sp

2014-03-02T04:37:39Z

Stability and steady state of the matrix system: sp

← Older revision		Revision as of 06:37, 2 March 2014
Line 1:		Line 1:
	In [[computer graphics]], a '''hierarchical RBF''' is an [[interpolation]] method based on [[Radial basis function]]s (RBF). Hierarchical RBF interpolation has applications in the construction of shape models in [[3d computer graphics\|3D computer graphics]] (see [[Stanford Bunny]] image below), treatment of results from a [[3D scanner]], [[terrain]] reconstruction and others.		[http://news.goldgrey.org/silver/ http://news.goldgrey.org/silver/] The recent optimism asserted itself again Friday supported by U.S.corporate earnings and some blind faith the Europeans can fix their debt crisis. At least they appear to be working on it with some harmony from recent rhetoric.<br><br><br><br>Everyone is eager to make money so that we can get more out of this world. Go traveling, shopping with your loved ones and having good food. Whether it is by doing business, investing in stocks or real estate, we all dream of making it big. Our aim is to make money. Some also turn to gambling to make a living but there is nothing wrong with it as long as it is not illegal. Professional poker players are earning more than you and me now. The same theory applies to sports betting, many people would try their 'luck' to earn cash from it. And fortunately for some, they are very well at it.<br><br>Develop a Strategy - Have a goal and a plan. Identify the reasons that make you want to trade stocks. [http://Www.reddit.com/r/howto/search?q=Include Include] how much profit you expect to make and how much loss you can take. Put a time frame for your objectives as well. This helps you identify if you are a risk-taker or a conservative investor and adjust your approach appropriately.<br><br>That's understandable. The beginnings can be, and usually are, challenging. But it's easy to handle this if you simplify things. Simple things are not necessarily worse than complex ones, so before you decide to embark on using the top notch trading technology, I suggest that you explore some really simple options, some basic yet solid elements that has been around for a very long time and are here to stay.<br><br>Bear in mind, every stock trading strategy comes with its own set of advantages and risks', knowing these is vital to determining the stock trading you want to do. Let's take a look at some of the stock traders out there and what kind of stock trading they do.<br><br>The number one thing to keep in mind if you are new to trading stocks is to start small and work your way up. The last thing you want is to jump into a shark tank unprepared and lose thousands of dollars. Start with low lots of shares such as 100 as this is much easier to take in if the shares go against you.<br><br>Of course, you will not always be able to predict the future correctly unless you are clairvoyant or are engaging in illegal insider trading. If neither of these two is true of you then it's obvious that you'll make mistakes sometimes. After all, you're working under sub-optimal conditions. You're using conflicting information to guide your decision making process. Your brain isn't meant to work under these conditions but yet here you are, slogging through and doing the best you can.<br><br>One of the reasons more and more people are trading stocks using stock trading systems has been the need to have more control over risk. After the sharp decline in stock prices starting about April 2000 we all started to realize that maybe there is more to making money in the stock market than "buy and hold".

	~~[[Image~~:~~MyBunny~~.~~gif]]~~

	~~This problem informally named "large scattered data point set interpolation"~~.

	~~The idea of method (for example in 3D) consists of the following:~~
	* let the scattered points be presented a set <math>\mathbf{P}=\{\mathbf{c}_i=(\mathbf{x}_i,\mathbf{y}_i,\mathbf{z}_i)\vert^{N}_{i=0} \subset \mathbb{R}^3\}</math>
	* let the exist a set of values of some function in scattered points <math>\mathbf{H}=\{\mathbf{h}_i \vert^{N}_{i=0}\subset \mathbb{R}\}</~~math>~~
	* find a function <math>\mathbf{f}(\mathbf{x})</~~math> which will meet next condition~~: ~~<math>\mathbf{f}(\mathbf{x})=1<~~/~~math> for points lies on shape and <math>\mathbf{f}(\mathbf{x})\neq1<~~/~~math> for points not lies on shape~~
	* as J. C. ~~Carr et al~~. ~~showed <ref>Carr, J~~.C.~~; Beatson, R.K.; Cherrie, J.B.; Mitchell, T.J.; Fright, W.R.; McCallum B.C.; Evans, T.R. (2001), “Reconstruction and Representation of 3D Objects~~ with ~~Radial Basis Functions” ACM SIGGRAPH 2001, Los Angeles, CA, P. 67–76~~.<~~/ref~~> ~~this function looks like~~ <~~math~~>~~\mathbf{f}(\mathbf{x})=\sum_{i=1}^N \lambda_i \varphi(\mathbf{x},\mathbf{c}_i)~~<~~/math~~> ~~where:~~
	<~~math~~>~~\varphi</math> — it~~ is ~~[[Radial basis function\|RBF]];~~
	~~<math>\lambda</math> —~~ it is ~~coefficients which are the solution~~ of ~~the [[Linear system of equations\|system]] show on picture:~~

	~~[[Image:System~~.~~gif]]~~

	~~for determination of surface it~~ is ~~necessary~~ to ~~estimate the value of function <math>\mathbf{f}(\mathbf{x})</math> in interesting points ''x''~~.
	~~A lack of such method~~ is ~~considerable complication <ref>Bashkov, E~~.A.~~; Babkov~~, V.S. ~~(2008) “Research of RBF~~-~~algorithm~~ and ~~his modifications apply~~
	~~possibilities for~~ the ~~construction of shape computer models in medical practic”~~. ~~Proc Int.~~
	~~Conference "Simulation-2008", Pukhov Institute for Modelling in Energy Engineering,~~ [http://~~babkov~~.~~name~~/~~article~~/~~2008-09.pdf] (in Russian)<~~/~~ref> <math>\mathbf{O}(\mathbf{n}^2)</math> for calculate [[Radial basis function\|RBF]], solve [[Linear system of equations\|system]~~] and ~~determine surface~~.

	~~==Other similar methods==~~
	* Reduce interpolation centres (<math>\mathbf{O}(\mathbf{n}^2)</math> for ~~calculate [[Radial basis function\|RBF]]~~ and ~~solve [[Linear system of equations\|system]],~~ <~~math~~>~~\mathbf{O}(\mathbf{m}\mathbf{n})~~<~~/math~~> ~~for determine surface)~~
	* Compactly supported [[Radial basis function\|RBF]] (<math>\mathbf{O}(\mathbf{n}\log{\mathbf{n}})</math> for calculate [[Radial basis function\|RBF]], ~~<math>\mathbf{O}(\mathbf{n}^{1~~.2.~~.1.5})</math> for solve [[Linear system of equations\|system]]~~, ~~<math>\mathbf{O}(\mathbf{m}\log{\mathbf{n}})</math>~~ for ~~determine surface)~~
	* [[Fast multipole method\|FMM]] (<~~math~~>~~\mathbf{O}(\mathbf{n}^2)~~<~~/math~~> ~~for calculate [[Radial basis function\|RBF]]~~, ~~<math>\mathbf{O}(\mathbf{n}\log{\mathbf{n}})</math> for solve [[Linear system~~ of ~~equations\|system]]~~, ~~<math>\mathbf{O}(\mathbf{m}+\mathbf{n}\log{\mathbf{n}})</math> for determine surface)~~

	~~==Hierarchical algorithm==~~
	~~An idea of [[hierarchical]] [[Algorythm\|algorithm]]~~ is ~~an acceleration of calculations due~~ to ~~[[Decomposition (computer science)\|decomposition]] of intricate problem on~~ the ~~great number of simple (see picture)~~. ~~[[File:Hierarchical algorithm flow chart.gif]]~~

	~~In this case [[hierarchical]] division~~ of ~~space containing points on elementary parts,~~ the ~~[[Linear system of equations\|system]]~~ of small ~~dimension solves in each~~ of ~~which~~. ~~The calculation~~ of ~~surface in~~ this ~~case~~ is ~~taken~~ to the ~~[[hierarchical]] (on the basis of [[Tree (data structure)\|tree-structure]]) calculation of interpolant. A method for a [[2D computer graphics\|2D]] case is offered Pouderoux J. et al~~.<~~ref~~>~~Pouderox~~, ~~J. et al. (2004), “Adaptive hierarchical RBF interpolation for creating smooth digital elevathion models”, Proc. 12-th ACM Int. Symp. Advances~~ in ~~Geographical information Systems 2004, ACP Press, P~~. ~~232–240</ref> For a [[3D computer graphics\|3D]] case a method~~ is ~~used in the tasks~~ of ~~[[3D computer graphics\|3D graphics]] by W. Qiang et al~~.~~<ref>Qiang~~, W.~~; Pan, Z~~.~~; Chun~~, ~~C.; Jiajun, B~~. ~~(2007), “Surface rendering for parallel slice of contours from medical imaging”, Computing in science & engineering, 9(1), January–February 2007, P 32–37~~<~~/ref~~> ~~and modified by Babkov V.~~<~~ref~~>~~Babkov, V.S. (2008) “Modification~~ of ~~hierarchical RBF method for 3D-modelling based on laser scan result”~~. ~~Proc. Int. Conference “Modern problems~~ and ~~achievement of radio, communication~~
	~~and informatics”, Zaporizhzhya National Technical University, [http://babkov.name/article/2008-08~~.~~pdf] (in Ukrainian)</ref>~~

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

	~~{{DEFAULTSORT:Hierarchical Rbf}}~~
	~~[[Category:Geometric algorithms]]~~
	~~[[Category:Computer graphics]]~~
	~~[[Category:Interpolation]]~~

en>Cuzkatzimhut: streamlined ref and subject heading

2014-01-01T02:35:06Z

streamlined ref and subject heading

← Older revision		Revision as of 04:35, 1 January 2014
Line 1:		Line 1:
			In [[computer graphics]], a '''hierarchical RBF''' is an [[interpolation]] method based on [[Radial basis function]]s (RBF). Hierarchical RBF interpolation has applications in the construction of shape models in [[3d computer graphics\|3D computer graphics]] (see [[Stanford Bunny]] image below), treatment of results from a [[3D scanner]], [[terrain]] reconstruction and others.

			[[Image:MyBunny.gif]]

	~~They're always ready to help, and they're always making changes to the site to make sure you won't have troubles~~ in the ~~first place. Medical word press themes give you the latest medical designs. The Word - Press Dashboard~~ : ~~an administrative management tool that supports FTP content upload 2. If you are using videos on your site then this is~~ the ~~plugin to use. After activating~~, ~~you~~ will ~~find their website link~~ and ~~get the activation code from their website.~~ <br><br>~~Most Word - Press web developers can provide quality CMS website solutions and they price their services at reasonable rates~~. ~~Best of all~~, ~~you can still have all the functionality that you desire when you use the Word - Press platform~~. ~~With the free Word - Press blog~~, ~~you have the liberty to come up with your own personalized domain name~~. ~~Apart from these~~, ~~you are also required to give some backlinks on other sites as well~~. ~~Moreover~~, ~~many Word - Press themes need to be purchased~~ and ~~designing your own WP site can be boring~~. <br><br>It is ~~also popular because willing surrogates,as well as egg and sperm donors,~~are ~~plentiful~~. ~~To sum up, ensure that the tactics are aiming~~ to ~~increase~~ the ~~ranking and attracting the maximum intended traffic~~ in ~~the major search engines~~. ~~For a much deeper understanding~~ of ~~simple wordpress themes"~~, ~~check out Upon browsing such~~, ~~you'll be able to know valuable facts~~. ~~Thousands~~ of ~~plugins are available in Word~~ - ~~Press plugin's library which makes~~ the ~~task~~ of ~~selecting right set of plugins for your website a very tedious task~~. " ~~Thus working with a Word~~ - ~~Press powered web application~~, ~~making any changes~~ in ~~the website design or website content is really easy~~ and ~~self explanatory~~. <br><br>~~If you beloved this posting~~ and ~~you would like to acquire much more details concerning~~ [~~http:~~//~~ad4~~.fr/~~wordpress_backup_6346078 wordpress backup~~] ~~kindly pay a visit~~ to the ~~page~~. ~~Word - Press installation is very easy and hassle free~~. ~~But~~ the ~~Joomla was created as the CMS over years~~ of ~~hard work~~. ~~Next you'll go by way~~ of to ~~your simple Word~~ - ~~Press site~~. 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~~. ~~Now all you have to do is log into your Word~~ - Press ~~site making use of the very same username and password that you initially had in your previous site~~. <br><br>~~Many developers design websites and give them to the clients~~, ~~but still the client faces problems to handle the website~~. ~~When you sign up with Wordpress~~, ~~you gain access to several different templates and plug-in that allow you to customize your blog so that it fits in with your business website design seamlessly~~. ~~The days~~ of ~~spending a lot of time~~ and ~~money to have a website built are long gone~~. ~~You should stay away from plugins that are full~~ of ~~flaws and bugs~~. ~~As for performing online business, websites and blogs are the only medium that are available to interact with customers~~ and ~~Word - Press perform this work with the help~~ of ~~cross-blog~~ communication ~~tools~~, ~~comments and full user registration plug~~-~~ins~~.		This problem informally named "large scattered data point set interpolation".

			The idea of method (for example in 3D) consists of the following:
			* let the scattered points be presented a set <math>\mathbf{P}=\{\mathbf{c}_i=(\mathbf{x}_i,\mathbf{y}_i,\mathbf{z}_i)\vert^{N}_{i=0} \subset \mathbb{R}^3\}</math>
			* let the exist a set of values of some function in scattered points <math>\mathbf{H}=\{\mathbf{h}_i \vert^{N}_{i=0}\subset \mathbb{R}\}</math>
			* find a function <math>\mathbf{f}(\mathbf{x})</math> which will meet next condition: <math>\mathbf{f}(\mathbf{x})=1</math> for points lies on shape and <math>\mathbf{f}(\mathbf{x})\neq1</math> for points not lies on shape
			* as J. C. Carr et al. showed <ref>Carr, J.C.; Beatson, R.K.; Cherrie, J.B.; Mitchell, T.J.; Fright, W.R.; McCallum B.C.; Evans, T.R. (2001), “Reconstruction and Representation of 3D Objects with Radial Basis Functions” ACM SIGGRAPH 2001, Los Angeles, CA, P. 67–76.</ref> this function looks like <math>\mathbf{f}(\mathbf{x})=\sum_{i=1}^N \lambda_i \varphi(\mathbf{x},\mathbf{c}_i)</math> where:
			<math>\varphi</math> — it is [[Radial basis function\|RBF]];
			<math>\lambda</math> — it is coefficients which are the solution of the [[Linear system of equations\|system]] show on picture:

			[[Image:System.gif]]

			for determination of surface it is necessary to estimate the value of function <math>\mathbf{f}(\mathbf{x})</math> in interesting points ''x''.
			A lack of such method is considerable complication <ref>Bashkov, E.A.; Babkov, V.S. (2008) “Research of RBF-algorithm and his modifications apply
			possibilities for the construction of shape computer models in medical practic”. Proc Int.
			Conference "Simulation-2008", Pukhov Institute for Modelling in Energy Engineering, [http://babkov.name/article/2008-09.pdf] (in Russian)</ref> <math>\mathbf{O}(\mathbf{n}^2)</math> for calculate [[Radial basis function\|RBF]], solve [[Linear system of equations\|system]] and determine surface.

			==Other similar methods==
			* Reduce interpolation centres (<math>\mathbf{O}(\mathbf{n}^2)</math> for calculate [[Radial basis function\|RBF]] and solve [[Linear system of equations\|system]], <math>\mathbf{O}(\mathbf{m}\mathbf{n})</math> for determine surface)
			* Compactly supported [[Radial basis function\|RBF]] (<math>\mathbf{O}(\mathbf{n}\log{\mathbf{n}})</math> for calculate [[Radial basis function\|RBF]], <math>\mathbf{O}(\mathbf{n}^{1.2..1.5})</math> for solve [[Linear system of equations\|system]], <math>\mathbf{O}(\mathbf{m}\log{\mathbf{n}})</math> for determine surface)
			* [[Fast multipole method\|FMM]] (<math>\mathbf{O}(\mathbf{n}^2)</math> for calculate [[Radial basis function\|RBF]], <math>\mathbf{O}(\mathbf{n}\log{\mathbf{n}})</math> for solve [[Linear system of equations\|system]], <math>\mathbf{O}(\mathbf{m}+\mathbf{n}\log{\mathbf{n}})</math> for determine surface)

			==Hierarchical algorithm==
			An idea of [[hierarchical]] [[Algorythm\|algorithm]] is an acceleration of calculations due to [[Decomposition (computer science)\|decomposition]] of intricate problem on the great number of simple (see picture). [[File:Hierarchical algorithm flow chart.gif]]

			In this case [[hierarchical]] division of space containing points on elementary parts, the [[Linear system of equations\|system]] of small dimension solves in each of which. The calculation of surface in this case is taken to the [[hierarchical]] (on the basis of [[Tree (data structure)\|tree-structure]]) calculation of interpolant. A method for a [[2D computer graphics\|2D]] case is offered Pouderoux J. et al.<ref>Pouderox, J. et al. (2004), “Adaptive hierarchical RBF interpolation for creating smooth digital elevathion models”, Proc. 12-th ACM Int. Symp. Advances in Geographical information Systems 2004, ACP Press, P. 232–240</ref> For a [[3D computer graphics\|3D]] case a method is used in the tasks of [[3D computer graphics\|3D graphics]] by W. Qiang et al.<ref>Qiang, W.; Pan, Z.; Chun, C.; Jiajun, B. (2007), “Surface rendering for parallel slice of contours from medical imaging”, Computing in science & engineering, 9(1), January–February 2007, P 32–37</ref> and modified by Babkov V.<ref>Babkov, V.S. (2008) “Modification of hierarchical RBF method for 3D-modelling based on laser scan result”. Proc. Int. Conference “Modern problems and achievement of radio, communication
			and informatics”, Zaporizhzhya National Technical University, [http://babkov.name/article/2008-08.pdf] (in Ukrainian)</ref>

			==References==
			{{reflist}}

			{{DEFAULTSORT:Hierarchical Rbf}}
			[[Category:Geometric algorithms]]
			[[Category:Computer graphics]]
			[[Category:Interpolation]]

en>Dlituiev: /* Solution in matrix form */

2012-06-20T09:44:57Z

Solution in matrix form

New page

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