Neighbourhood components analysis - Revision history

en>Rototiller: Changed "unsupervised learning" to "supervised learning". See the abstract of the Goldberger paper ("labeled data", "classification algorithm"), and Section 5 (1st sent: "fully supervised learning").

2014-11-11T06:07:17Z

Changed "unsupervised learning" to "supervised learning". See the abstract of the Goldberger paper ("labeled data", "classification algorithm"), and Section 5 (1st sent: "fully supervised learning").

← Older revision		Revision as of 08:07, 11 November 2014
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	~~In [[abstract algebra]]~~, a ~~'''multiplicatively closed set''' (or '''multiplicative set''') is a subset ''S'' of a [[ring (mathematics)\|ring]] ''R'' such that the following two conditions hold:<ref>Atiyah~~ and ~~Macdonald, p. 36.</ref><ref>Lang, p~~.~~ 107.</ref>~~		The majority of people do not possess significantly exposure to legal professionals, thus if locating a good one will become required they could not know how to begin. There are many great and genuine lawyers accessible to fully handle your case. The data in this article will help you be sure you might have found the best one.<br><br>
	* <math>1 \in ~~S</math>.~~
	* For all ''x'' and ''y'' in ''S'', the ~~product ''xy'' is in ''S''.~~
	~~In other words, ''S'' is [[closure (mathematics)\|closed]] under taking finite products, including the [[empty product]] 1~~.<~~ref~~>~~Eisenbud, p. 59.~~<~~/ref~~>
	~~Equivalently, a multiplicative set is a [[submonoid]] of the multiplicative monoid of a ring.~~

	~~Multiplicative sets~~ are important ~~especially in [[commutative algebra]]~~, ~~where they~~ are ~~used~~ to ~~build [[localization~~ of a ~~ring\|localizations]] of commutative rings~~.		Should you be the defendant inside a criminal case, you should solicit the services of an attorney. Don't attempt to accomplish this by yourself or you may get right into a worse clutter. Lawyers are allowed to deal with such is important for you.<br><br>If you notice that the lawyer you chose is not carrying out work that you were actually wanting, usually do not be scared to flame them. This is basically the particular person that you will be paying your money for, so at any point you can lower ties. If you are experiencing a legal matter, you merely want the best in your favor.<br><br>You must be in a position to easily get in touch with your lawyer. A lot of people whine about not having a legal representative who seems to be quickly reachable. When legal professionals normally must deal with a couple of situation at a time, you must not have to to hold back time, when simply being kept in the dark due to your legal professional shelling out a long time golfing.<br><br>Whenever you truly need to have a lawyer who is an expert in a specific area, pick one. When you might have a legal professional the person you have confidence in implicitly, they could not know enough to genuinely manage your case in a approach which results in a positive end result. Check with that legal representative for who they might advise instead.<br><br>If you have been in a car accident, usually do not hire any legal representative that comes to you personally and tries to get your business. This is not just dishonest, however it is against the regulation. You do not desire to work with one to manage your legal situation if you need to be worried about their lawful integrity.<br><br>When reaching with the attorney, generally seek advice. An excellent attorney will keep his client educated. Should your attorney falls flat to describe issues carefully and evidently, then you probably have to hire a different one.<br><br>Well before your legal professional starts job, make sure you possess a cost arrangement into position. By doing this, you won't find yourself paying out over you've agreed to shell out. Also, it keeps you must prepared.<br><br>Come up with a notice of how lengthy it requires a legal professional to timetable the initial meeting. Whether it requires days to even see the lawyer the very first time, the attorney may be too busy to provide you with proper assistance. You will want lawyer who positions you high on his listing of main concerns.<br><br>Try to find a lawyer which has a high number of circumstances together with the situation that you are coping with. For instance, if you are going to judge for income tax scams, you may want somebody who concentrates on this industry or at a minimum has many encounter under his buckle. This will aid maximize your possibility of glory.<br><br>Do not quickly rule out an attorney simply because it will cost you with a cost with regard to their consultation. In the event the time they offer is pretty substantial, and they are ready to provide an effective examination of your respective case, that is certainly really worth paying them a fee for this services. All attorneys offering free meetings usually are not usually the most effective.<br><br>Before fascinating legal counsel, make the commitment expected to find just the right 1. This is simply not a situation that may be trusted to some Online Directory itemizing or on-line referral. Be sure to go to different legal professionals and also be specific about stipulations well before actually beginning any sort of lawful going forward.<br><br>Don't work with the very first attorney that you simply meet. You should talk with a variety of lawyers to acquire a sense of the direction they operate. This is the only way that you can find one particular you are comfortable with. Don't at any time be satisfied with an attorney that doesn't cause you to feel cozy or you'll regret it.<br><br>There are many different types of attorneys, and it is vital that you find the one who can represent you in court efficiently. Personal personal injury lawyer toronto ontario ([http://www.yelp.ca/biz/neinstein-and-associates-toronto visit the up coming article]) references are probably far better than seeking inside the phone book or undertaking an online look for. The guidelines in this post will assist you to employ a lawyer who can bet stand for your case.

	~~A subset ''S''~~ of a ~~ring ''R'' is called '''saturated''' if it is closed under taking [[divisibility (ring theory)\|divisor]]s: i~~.~~e., whenever~~ a ~~product ''xy''~~ is in ~~''S''~~, the ~~elements ''x'' and ''y'' are~~ in ~~''S'' too.~~

	~~==Examples==~~
	~~Common examples of multiplicative sets include:~~
	* the [[set-theoretic complement]] of a ~~[[prime ideal]]~~ in a ~~commutative ring;~~
	* the set <~~math~~>~~\{ 1~~, x, ~~x^2~~, ~~x^3~~, ~~\dots \}~~<~~/math~~>, ~~where~~ ''~~x'' is~~ a ~~fixed element~~ of the ~~ring;~~
	* the ~~set of [[unit (ring theory)\|unit]]s of~~ the ~~ring;~~
	* the ~~set~~ of ~~[[zero divisor\|non-zero-divisors]]~~ of the ~~ring;~~
	* 1 + ''I''   for ~~an ideal ''I''~~.

	~~==Properties==~~
	* An ideal ''P'' of a ~~commutative ring ''R''~~ is ~~prime if~~ and ~~only if its complement ''R''\''P''~~ is ~~multiplicatively closed~~.
	* A subset ''S'' is both saturated and multiplicatively closed if and only if ''S'' is the ~~complement of a [[set-theoretic union\|union]] of prime ideals~~.<~~ref name=Kap2~~>~~Kaplansky, p. 2, Theorem 2.~~<~~/ref~~> ~~In particular~~, the ~~complement of a prime ideal is both saturated and multiplicatively closed~~.
	* The intersection of a family of multiplicative sets is a ~~multiplicative set~~.
	* The intersection of a ~~family~~ of ~~saturated sets is saturated.~~

	~~== See also ==~~
	* [[Localization of ~~a ring]]~~
	* [[Right denominator set]]

	~~==Notes==~~
	~~{{reflist}}~~

	~~== References ==~~
	* [[M. F. ~~Atiyah]] and [[I. G. Macdonald]],~~ ''~~Introduction~~ to ~~commutative algebra'~~', ~~Addison-Wesley, 1969~~.
	* [~~[David Eisenbud]], ''Commutative algebra with a view toward algebraic geometry'', Springer, 1995~~.
	* {{Citation \| last1=Kaplansky \| first1=Irving \| author1-~~link=Irving Kaplansky \| title=Commutative rings \| publisher=[[University of Chicago Press~~]~~] \| edition=Revised \| id={{MathSciNet \| id = 0345945}} \| year=1974}}~~
	* [[Serge Lang]], ''Algebra'' 3rd ed.~~, Springer, 2002~~.


	~~[[Category:Commutative algebra]]~~

en>Gtfjbl: /* Software */ added internal link to MLPACK

2014-01-11T04:11:29Z

Software: added internal link to MLPACK

← Older revision		Revision as of 06:11, 11 January 2014
Line 1:		Line 1:
	~~<br><br>When you have~~ a ~~business, it~~ is ~~vital to monitor the cash position to ensure liquidity~~ of the ~~organization. You need to be able to pay your debts as~~ and ~~when they fall due~~. ~~To ensure you can operate effectively it is vital to have a cash flow, not matter how simple to give you a snap shot of the business cash performance~~.<br><br>~~If you do not have a lot of money available to invest into the gold trade market~~, ~~then you should learn about leverage~~. ~~This is how you will be able to invest more money into the market than what you currently have available~~. ~~Leverage is basically a loan that your broker will provide to you~~. ~~If you only have a little money to invest~~ in the ~~market, then you will not make a very large profit~~. ~~However~~, ~~if you utilize the leverage that your broker offers you~~, ~~you can then make a much larger profit, and you will be able to pay back~~ the ~~leverage that you have gotten from your broker~~.<br><br>~~People have~~ a ~~basic nature which~~ is ~~Growth in~~ the ~~end~~ of ~~His job and lot of money after that all, there is no any doubt at that all~~. ~~That's most of people prefer to invest money~~ in ~~Commodities market for earning more and more money. But before that all maximum time~~ they ~~need help~~ of ~~good adviser and experts to earn profit~~. A ~~well expert adviser who~~'s ~~can guide them properly~~. ~~Who can give them Commodity Tips~~, ~~Commodity Trading Tips~~, ~~MCX trading tips, Intraday tips, gold trading Tips, Crude Tips With full [https://Www~~.~~Google.com/search?hl~~=~~en&gl~~=~~us&tbm~~=~~nws&q~~=~~accuracy&btnI=lucky accuracy~~].<br><br>~~The point I am trying to make here~~ is ~~that you should focus on trading~~ the ~~types~~ of ~~vehicles where you understand~~ the ~~daily price action, how to trade that investment, what makes it move, is there leverage, and what time frame you should focus on, so that it works with your schedule. If you can only look at~~ the ~~charts at night, after~~ the ~~markets close, then you should not be focusing on day trading. So pick something you like, understand or want to trade and learn everything about it~~. ~~Then find a [http://Www.google.co.uk/search?hl~~=~~en&gl~~=~~us&tbm~~=~~nws&q~~=~~trading&gs_l=news trading] system or create one yourself, which~~ is ~~profitable using the time frame~~ and ~~risk tolerance that fit your personality~~.~~<br><br>Planning a menu for the week, or even monthly, will help you to reduce~~ the ~~cost~~ of ~~your grocery bill. Grocery coupons add up, and you will find that the more you use them,~~ [~~http://trading.goldgrey.org/options~~-~~trading/ http://trading.goldgrey.org/options-trading/~~] ~~the better you become at purchasing the things that will get you the most for your money~~.<br><br>~~Another way~~ of ~~investing in gold~~ is ~~through gold exchange traded funds~~. ~~This can be traded all over the world~~. ~~With this the investor does not need to be physically present at the time~~ of ~~the transaction~~. ~~This can be traded in any market in nay part~~ of ~~the world~~. ~~This is also known as investing in ETFs~~, ~~as gold solid bars. It is also important~~ to ~~note that the prices of gold do not shift with any disturbance in the economic conditions~~. ~~Thus~~, ~~the investors can reap~~ a ~~lot of benefits from this investment~~. ~~One can invest lots~~ of ~~money through this way of investment~~. ~~Investing in gold is economic as well as reliable~~.		In [[abstract algebra]], a '''multiplicatively closed set''' (or '''multiplicative set''') is a subset ''S'' of a [[ring (mathematics)\|ring]] ''R'' such that the following two conditions hold:<ref>Atiyah and Macdonald, p. 36.</ref><ref>Lang, p. 107.</ref>
			* <math>1 \in S</math>.
			* For all ''x'' and ''y'' in ''S'', the product ''xy'' is in ''S''.
			In other words, ''S'' is [[closure (mathematics)\|closed]] under taking finite products, including the [[empty product]] 1.<ref>Eisenbud, p. 59.</ref>
			Equivalently, a multiplicative set is a [[submonoid]] of the multiplicative monoid of a ring.

			Multiplicative sets are important especially in [[commutative algebra]], where they are used to build [[localization of a ring\|localizations]] of commutative rings.

			A subset ''S'' of a ring ''R'' is called '''saturated''' if it is closed under taking [[divisibility (ring theory)\|divisor]]s: i.e., whenever a product ''xy'' is in ''S'', the elements ''x'' and ''y'' are in ''S'' too.

			==Examples==
			Common examples of multiplicative sets include:
			* the [[set-theoretic complement]] of a [[prime ideal]] in a commutative ring;
			* the set <math>\{ 1, x, x^2, x^3, \dots \}</math>, where ''x'' is a fixed element of the ring;
			* the set of [[unit (ring theory)\|unit]]s of the ring;
			* the set of [[zero divisor\|non-zero-divisors]] of the ring;
			* 1 + ''I''   for an ideal ''I''.

			==Properties==
			* An ideal ''P'' of a commutative ring ''R'' is prime if and only if its complement ''R''\''P'' is multiplicatively closed.
			* A subset ''S'' is both saturated and multiplicatively closed if and only if ''S'' is the complement of a [[set-theoretic union\|union]] of prime ideals.<ref name=Kap2>Kaplansky, p. 2, Theorem 2.</ref> In particular, the complement of a prime ideal is both saturated and multiplicatively closed.
			* The intersection of a family of multiplicative sets is a multiplicative set.
			* The intersection of a family of saturated sets is saturated.

			== See also ==
			* [[Localization of a ring]]
			* [[Right denominator set]]

			==Notes==
			{{reflist}}

			== References ==
			* [[M. F. Atiyah]] and [[I. G. Macdonald]], ''Introduction to commutative algebra'', Addison-Wesley, 1969.
			* [[David Eisenbud]], ''Commutative algebra with a view toward algebraic geometry'', Springer, 1995.
			* {{Citation \| last1=Kaplansky \| first1=Irving \| author1-link=Irving Kaplansky \| title=Commutative rings \| publisher=[[University of Chicago Press]] \| edition=Revised \| id={{MathSciNet \| id = 0345945}} \| year=1974}}
			* [[Serge Lang]], ''Algebra'' 3rd ed., Springer, 2002.


			[[Category:Commutative algebra]]

en>LaaknorBot: Robot: Adding zh:邻里成分分析

2012-05-17T12:37:00Z

Robot: Adding zh:邻里成分分析

New page

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