Percentile - Revision history

en>Bamyers99: /* The Weighted Percentile method */ Added anchor for incoming redirects

2014-12-15T21:35:39Z

The Weighted Percentile method: Added anchor for incoming redirects

← Older revision		Revision as of 23:35, 15 December 2014
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There are also options~~ to ~~created the amount of discussion they can participate with other sites when online~~.<br><br>~~Just variety of participants of which perform Clash of Clans across~~ the ~~world this can help you the chance to allow them to crew up with clans that have been including players from different nations around the world~~ and ~~can also sit competitive towards other clans~~. ~~This will help make the game considerably more attention-grabbing as you will look for a great deal~~ of ~~assorted strategies that might provide by participants and this particular boosts the unpredictability chemical. 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en>Guy Harris: /* Definition */ Get rid of extra blank line.

2014-02-21T01:26:00Z

Definition: Get rid of extra blank line.

← Older revision		Revision as of 03:26, 21 February 2014
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	~~In [[electrostatics]],~~ the ~~'''[[coefficients]]~~ of ~~potential''' determine~~ the ~~relationship between the [[electric charge\|charge]]~~ and [~~[electrostatic potential]] ([[electrical potential~~]]), ~~which~~ is ~~purely geometric:~~		Most of the trophies from all of the members in your kin get added up and as well , divided by 2 find out your clans overall awards. Playing many different kinds of games sells your gaming time more enjoyable. and your league also determines any battle win bonus. If you have any type of concerns relating to where and how to utilize [http://prometeu.net clash of clans gem generator no survey], you could contact us at our web-site. 5 star rating and is defined as known to be unbelievably addictive as players often devote several hours experiencing and [http://photo.net/gallery/tag-search/search?query_string=enjoying enjoying] the game. She centers on beauty salon [http://Www.Businessfinancial.org/ business financial] services and client fascination.<br><br>But Supercell, by allowing those illusion on the multi-player game, taps into you're instinctual male drive returning to from the status hierarchy, and even though it''s unattainable to the surface of your hierarchy if you don't need to been logging in each day because the game was launched plus you invested actually money in extra builders, the drive for getting a small bit further forces enough visitors to fork over a real income over virtual 'gems'" that sport could be the top-grossing app within the Practical application Store.<br><br>When you find yourself getting a online mission for your little one, look for one typically enables numerous customers to do with each other. Video gaming can include a solitary action. Nevertheless, it is important if you want to motivate your youngster getting to be social, and multi-player clash of clans hack is capable executing that. They encourage sisters and brothers and / or buddies to all including take a moment and laugh and compete in the same room.<br><br>If the system that your tiny is enjoying on possibly can connect with the Net, be sure that your business fix the settings for family before he performs to it. You're going to be able to safeguard your kid at vulnerability to unsavory information utilizing these filter rings. There are also options to created the amount of discussion they can participate with other sites when online.<br><br>Just variety of participants of which perform Clash of Clans across the world this can help you the chance to allow them to crew up with clans that have been including players from different nations around the world and can also sit competitive towards other clans. This will help make the game considerably more attention-grabbing as you will look for a great deal of assorted strategies that might provide by participants and this particular boosts the unpredictability chemical. Getting the right strategy november 23 is where the player's skills are tested, although the game is simple to play and understand.<br><br>You can see for yourself that all of our Money Compromise of Clans i fairly effective, really invisible by the team boss of the game, predominantly absolutely no price!<br><br>There are a few try interpreting the honest abstracts differently. Prepare for of it in offer of bulk with jewelry to skip 1 subsequent. Skipping added a period of time expenses added money, nonetheless , you get a enflamed deal. Think with regards to it as a a few accretion discounts.
	:~~<math>~~
	~~\begin{matrix}~~
	~~\phi_1 = p_{11}Q_1 + \cdots + p_{1n}Q_n \\~~
	~~\phi_2 = p_{21}Q_1 + \cdots + p_{2n}Q_n \\~~
	~~\vdots \\~~
	~~\phi_n = p_{n1}Q_1 + \cdots + p_{nn}Q_n~~
	~~\end{matrix}.<~~/~~math>~~

	~~where ''Q''<sub>i<~~/~~sub> is the surface charge on conductor ''i''~~. ~~The coefficients of potential are the coefficients ''p''<sub>ij<~~/~~sub>. φ<sub>i<~~/~~sub> should be correctly read as the potential due to charge 1, and hence "<math>p_{21}<~~/~~math>" is~~ the ~~p due to charge 2~~ on ~~charge 1.~~
	:~~<math>p_{ij} = {\part \phi_i \over \part Q_j} = \left({\part \phi_i \over \part Q_j} \right)_{Q_1,.~~..~~,Q_{j-1}, Q_{j+1},...,Q_n},<~~/~~math>~~
	~~or more formally~~
	~~:<math>p_{ij} = \frac{1}{4\pi\epsilon_0 S_j}\int_{S_j}\frac{f_j da_j}{R_{ji}}~~.<~~/math>~~

	~~Note that:~~
	~~# ''p''<sub~~>ij<~~/sub> = ''p''<sub>ji</sub~~>, by ~~symmetry~~, and
	# ''~~p''<sub>ij</sub> is not dependent on~~ the ~~charge,~~

	~~The physical content~~ of ~~the symmetry is as follows:~~
	: if ~~a charge~~ '~~'Q'' on conductor j brings conductor i~~ to ~~a potential φ~~, ~~then~~ the ~~same charge placed on i would bring j~~ to the ~~same potential φ.~~
	:
	~~In general, the coefficients is used when describing system of conductors, such as in~~ the ~~[[capacitor]]~~.

	~~==Theory==~~
	<~~div style="float:right; text-align:center;"~~>
	~~[[Image:System of conductors.png]]~~
	<br>~~''System of conductors. The electrostatic potential at point P is <math>\phi_P = \sum_{j = 1}^{n}\frac{1}{4\pi\epsilon_0}\int_{S_j}\frac{\sigma_j da_j}{R_{j}}</math>.''~~
	~~</div>~~

	~~Given the electrical potential on~~ a ~~conductor surface ''S''<sub>i</sub> (the [[equipotential surface]] or the point ''P'' chosen on surface i) contained in a system of conductors j = 1, 2~~, ..., ~~''n'':~~
	~~:<math>\phi_i = \sum_{j = 1}^{n}\frac{1}{4\pi\epsilon_0}\int_{S_j}\frac{\sigma_j da_j}{R_{ji}} \mbox{ (i=1~~, ~~2..., n)},</math>~~

	~~where ''R''<sub>ji</sub> = \|'''r'''<sub>i</sub>~~ - ~~'''r'''<sub>j</sub>\|, i~~.~~e. the distance from the area-element ''da''<sub>j<~~/~~sub>~~ to a ~~particular point '''r'''<sub>i</sub> on conductor i. σ<sub>j</sub> is not,~~ in ~~general, uniformly distributed across~~ the ~~surface~~. ~~Let us introduce the factor ''f''~~<~~sub~~>j<~~/sub~~> that ~~describes how the actual charge density differs from the average and itself on a position~~ on the ~~surface of the ''j''-th conductor:~~
	~~:<math>\frac{\sigma_j}{\langle\sigma_j\rangle} = f_j~~,~~</math>~~
	or
	~~: <math>\sigma_j = \langle\sigma_j\rangle f_j = \frac{Q_j}{S_j}f_j.</math>~~
	~~Then,~~
	~~:<math>\phi_i = \sum_{j = 1}^n\frac{Q_j}{4\pi\epsilon_0S_j}\int_{S_j}\frac{f_j da_j}{R_{ji}}</math>~~
	~~can~~ be ~~written in~~ the ~~form~~
	~~:<math>\phi_i=\sum_{j = 1}^n p_{ij}Q_j \mbox{ (i = 1, 2,~~ ...~~, n)},~~ <~~/math~~>
	~~i.e.~~
	:<~~math~~>~~p_{ij} = \frac{1}{4\pi\epsilon_0 S_j}\int_{S_j}\frac{f_j da_j}{R_{ji}}.</math>~~

	~~==Example==~~
	In this ~~example, we employ~~ the ~~method of coefficients of potential~~ to ~~determine~~ the ~~capacitance on a two~~-~~conductor system.~~

	~~For~~ a ~~two-conductor system,~~ the ~~system of linear equations is~~
	~~:<math>~~
	~~\begin{matrix}~~
	~~\phi_1 = p_{11}Q_1 + p_{12}Q_2 \\~~
	~~\phi_2 = p_{21}Q_1 + p_{22}Q_2~~
	~~\end{matrix}~~.~~</math>~~

	~~On a [[capacitor]],~~ the ~~charge on~~ the ~~two conductors is equal and opposite:~~ '~~'Q'' = ''Q''<sub>1</sub> = -''Q''<sub>2</sub>. Therefore~~,
	~~:<math>~~
	~~\begin{matrix}~~
	~~\phi_1 = (p_{11} - p_{12})Q \\~~
	~~\phi_2 = (p_{21} - p_{22})Q~~
	~~\end{matrix},</math>~~
	and
	~~:<math>\Delta\phi = \phi_1 - \phi_2 = (p_{11} + p_{22} - p_{12} - p_{21})Q~~.<~~/math~~>
	~~Hence,~~
	: <~~math~~> ~~C = \frac{1}{p_{11} + p_{22} - 2p_{12}}.</math>~~

	~~==Related coefficients==~~
	~~Note~~ that ~~the array~~ of ~~linear equations~~
	~~:<math>\phi_i = \sum_{j = 1}^n p_{ij}Q_j \mbox{ (~~i ~~= 1~~,~~2,...n)}</math>~~
	~~can be inverted to~~
	~~:<math>Q_i = \sum_{j = 1}^n c_{ij}\phi_j \mbox{ (i = 1,2,...n)}</math>~~
	~~where ''c''<sub>ii</sub> is called~~ the ~~''[[coefficients~~ of ~~capacitance]]'' and~~ the ~~''c''~~<~~sub~~>ij<~~/sub~~> ~~with i ≠ j is called~~ the ~~''[[coefficients~~ of ~~induction]]''~~.

	~~The [[capacitance]]~~ of ~~this system can be expressed~~ as
	~~:<math>C = \frac{c_{11}c_{22} - c_{12}^2}{c_{11} + c_{22} + 2c_{12}}</math>~~
	~~(the system of conductors can be shown to have similar symmetry ''c''<sub>ij</sub> = ''c''<sub>ji</sub>~~.)

	~~[[Category:Electrostatics]]~~

216.26.134.251: /* Applications */

2014-01-29T17:06:22Z

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en>Wijobs: /* Weighted percentile */ - fixed a typo

2012-07-31T14:10:56Z

Weighted percentile: - fixed a typo

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