Hierarchy problem - Revision history

en>Omnipaedista: per WP:DRIVEBYTAGGING

2014-12-22T14:27:38Z

← Older revision		Revision as of 16:27, 22 December 2014
Line 1:		Line 1:
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Salix alba: /* The cosmological constant */fix tags, replaced: ^{4 → ⁴ (2) using AWB}

2014-03-01T08:54:20Z

The cosmological constant: fix tags, replaced: 4 → 4 (2) using AWB

← Older revision		Revision as of 10:54, 1 March 2014
Line 1:		Line 1:
	~~{{refimprove\|date=September 2012}}~~		For the offense, you might surely have Gunboats which can simply shoot at enemy defenses coming from a prolonged periods of time range and Landing Crafts which you must fill up when you train types for example Rifleman, Heavy, Zooka, Warrior and Containers. To your village defenses, you might hold structures like Mortar, Machine Gun, Sniper Tower, Cannon, Flamethrower, Mine, Tank Mine, [http://www.reddit.com/r/howto/search?q=Boom+Cannon Boom Cannon] and Rocket Launcher to assist you eradicate enemies.<br><br>Game titles are fun to play with your kids. Assist you learn much more your kid's interests. Sharing interests with children like this can also create great conversations. It also gives an opportunity to monitor progress of their skills.<br><br>In the event you getting a online business for your little one, look for one exactly which enables numerous customers carry out with each other. Video gaming can be a solitary action. Nevertheless, it is important regarding motivate your youngster growing to be social, and multi-player clash of clans hack is capable performing that. They equip sisters and brothers and / or buddies to all of take a moment as laugh and compete as partners.<br><br>If you loved this post and you would like to receive additional details regarding how to hack clash of clans ([http://circuspartypanama.com similar resource site]) kindly pay a visit to our own web site. On line games acquire more regarding offer your son aka daughter than only an opportunity to capture points. Try deciding on gaming that instruct your infant some thing. Equally an example, sports situations video games will make it possible to your youngster learn some of the guidelines for game titles, and exactly how web-based games are played out and about. Check out some testimonials to actually discover game titles it supply a learning past experience instead of just mindless, repeated motion.<br><br>Help keep your game just as regularly as possible. While car-preservation is a good characteristic, do not count about it. Particularly, when you initial start playing a game, you may not have any thought when game saves, which will probably result in a impede of significant info down the line. Until you thoroughly grasp the sport better, consistently save yourself.<br><br>And access it into excel, copy-paste this [http://en.wiktionary.org/wiki/continued+formula continued formula] into corpuscle B1. If you again gain an majority of time in abnormal in corpuscle A1, the bulk to treasures will arise all over B1.<br><br>The actual amend additionally permits a person to access the ability of one's Sensei application buffs presented with the Dojo compared to. Dojo win band technique. Furthermore, it introduces different customized headgear and equipment, new barrio and safeguarding, and new assemblage positive changes.
	~~In [[mathematics]],~~ the ~~'''geometric–harmonic mean''' M(''x''~~, ~~''y'')~~ of ~~two positive [~~[~~real number]]s ''x'' and ''y'' is defined as follows~~: ~~we form the [[geometric mean]] of ''g''<sub>0<~~/~~sub> = ''x'' and ''h''<sub>0<~~/~~sub>~~ = ~~''y''~~ and ~~call it ''g''~~<~~sub~~>1<~~/sub~~>~~, i~~.e. ~~''g''<sub>1</sub> is the [[square root]] of ''xy''~~. We also ~~form the [[harmonic mean]]~~ of ~~''x'' and ''y'' and call it ''h''~~<~~sub~~>1<~~/sub~~>, i.e. ~~''h''<sub>1</sub>~~ is ~~the [[Multiplicative inverse\|reciprocal]]~~ of ~~the [[arithmetic mean]] of the reciprocals of ''x''~~ and ~~''y''. These may be done sequentially (in any order)~~ or ~~simultaneously.~~

	~~Now we can iterate this operation with ''g''<sub>1</sub> taking the place~~ of ~~''x''~~ and ~~''h''~~<~~sub~~>1<~~/sub~~> ~~taking the place of ''y''. In~~ this ~~way, two [[sequence]]s (''g''<sub>''n''</sub>)~~ and (~~''h''<sub>''n''</sub>) are defined:~~

	:~~<math>g_{n+1} = \sqrt{g_n h_n}<~~/~~math>~~

	~~and~~

	~~:<math>h_{n+1} = \frac{2}{\frac{1}{g_n} + \frac{1}{h_n}}<~~/~~math>~~

	~~Both of these sequences [[limit (mathematics~~)~~\|converge]]~~ to ~~the same number, which we call the '''geometric–harmonic mean''' M(''x'', ''y'') of ''x'' and ''y''~~. ~~The geometric–harmonic mean is also designated as the '''harmonic–geometric mean'''~~.~~ (cf~~. ~~Wolfram MathWorld below.)~~

	~~The existence of the limit can be proved by the means~~ of ~~[[Bolzano–Weierstrass theorem]] in a manner almost identical to~~ the ~~proof of existence of [[arithmetic–geometric mean]].~~

	~~==Properties==~~
	~~M(''x''~~,~~ ''y'') is a number between the geometric~~ and ~~harmonic mean of ''x''~~ and ~~''y''; in particular~~ it ~~is between ''x'' and ''y''~~. ~~M(''x'', ''y'')~~ is ~~also [[Homogeneous function\|homogeneous]]~~, ~~i.e~~. ~~if ''r'' > 0~~, ~~then M(''rx''~~,~~ ''ry'') = ''r'' M(''x''~~,~~ ''y'')~~.

	~~If AG(''x'', ''y'') is~~ the ~~[[arithmetic–geometric mean]]~~, ~~then we also have~~

	:<~~math~~>~~M(x,y) = \frac{1}{AG(\frac{1}{x},\frac{1}{y})}~~<~~/math~~>

	~~==Inequalities==~~
	~~We have the following inequality involving the Pythagorean means {''H''~~,~~ ''G''~~,~~ ''A''} and iterated Pythagorean means {''HG'', ''HA'', ''GA''}:~~

	:<~~math~~>~~\min(x,y) \leq H(x,y) \leq HG(x,y) \leq G(x,y) \leq GA(x,y) \leq A(x,y) \leq \max(x,y)~~<~~/math~~>

	~~where~~ the ~~iterated Pythagorean means have been identified~~ with ~~their parts {''H'', ''G'', ''A''} in progressing order:~~

	* ''H''(''x'', ''y'') is the ~~harmonic mean~~,
	* ''HG''(''x'',~~ ''y'') is the harmonic–geometric mean~~,
	* ''G''(''x'', ''y'') = ''HA''(''x'', ''y'') is the geometric mean (which is also the harmonic–arithmetic mean),
	* ''GA''(''x'', ''y'') is the geometric–arithmetic mean,
	* ''A''(''x'', ''y'') is the arithmetic mean.

	~~==See also==~~
	* [[Arithmetic–geometric mean]]
	* [[Arithmetic–harmonic mean]]
	* [[Mean]]

	~~==External links==~~
	* {{MathWorld\|title=Harmonic-Geometric Mean\|urlname=Harmonic-GeometricMean}}

	~~{{DEFAULTSORT:Geometric-harmonic mean}}~~
	~~[[Category:Means]]~~

en>Suslindisambiguator at 19:38, 5 January 2014

2014-01-05T19:38:13Z

← Older revision		Revision as of 21:38, 5 January 2014
Line 1:		Line 1:
			{{refimprove\|date=September 2012}}
			In [[mathematics]], the '''geometric–harmonic mean''' M(''x'', ''y'') of two positive [[real number]]s ''x'' and ''y'' is defined as follows: we form the [[geometric mean]] of ''g''<sub>0</sub> = ''x'' and ''h''<sub>0</sub> = ''y'' and call it ''g''<sub>1</sub>, i.e. ''g''<sub>1</sub> is the [[square root]] of ''xy''. We also form the [[harmonic mean]] of ''x'' and ''y'' and call it ''h''<sub>1</sub>, i.e. ''h''<sub>1</sub> is the [[Multiplicative inverse\|reciprocal]] of the [[arithmetic mean]] of the reciprocals of ''x'' and ''y''. These may be done sequentially (in any order) or simultaneously.

			Now we can iterate this operation with ''g''<sub>1</sub> taking the place of ''x'' and ''h''<sub>1</sub> taking the place of ''y''. In this way, two [[sequence]]s (''g''<sub>''n''</sub>) and (''h''<sub>''n''</sub>) are defined:

	The ~~writer~~ is ~~called Chasity but it~~'~~s not~~ the ~~most feminine title out there~~. ~~Delaware~~ is ~~her beginning place. Taking care~~ of ~~animals~~ is ~~where my primary earnings arrives from but I~~'~~ve currently utilized for another 1~~. ~~What I love doing~~ is ~~horse riding and I've been~~ [~~http://mondediplo~~.~~com/spip~~.~~php?page~~=~~recherche~~&~~recherche=performing performing~~] ~~it for fairly a whilst. Go to my website to find out more: https~~:/~~/christianeventconnections.com/wiki/index.php?title~~=~~Five_Unforgivable_Sins_Of_Nya_Internet_Svenska_Casinon_P%C3%A5_N%C3%A4tet~~<br><br>~~My web page :~~: [~~http://nyasvenska.org/ Nya svenska~~] ~~språket online casino 2014 (~~[~~https://christianeventconnections.com/wiki/index.php?~~title=~~Five_Unforgivable_Sins_Of_Nya_Internet_Svenska_Casinon_P%C3%A5_N%C3%A4tet kobling hjem~~])		:<math>g_{n+1} = \sqrt{g_n h_n}</math>

			and

			:<math>h_{n+1} = \frac{2}{\frac{1}{g_n} + \frac{1}{h_n}}</math>

			Both of these sequences [[limit (mathematics)\|converge]] to the same number, which we call the '''geometric–harmonic mean''' M(''x'', ''y'') of ''x'' and ''y''. The geometric–harmonic mean is also designated as the '''harmonic–geometric mean'''. (cf. Wolfram MathWorld below.)

			The existence of the limit can be proved by the means of [[Bolzano–Weierstrass theorem]] in a manner almost identical to the proof of existence of [[arithmetic–geometric mean]].

			==Properties==
			M(''x'', ''y'') is a number between the geometric and harmonic mean of ''x'' and ''y''; in particular it is between ''x'' and ''y''. M(''x'', ''y'') is also [[Homogeneous function\|homogeneous]], i.e. if ''r'' > 0, then M(''rx'', ''ry'') = ''r'' M(''x'', ''y'').

			If AG(''x'', ''y'') is the [[arithmetic–geometric mean]], then we also have

			:<math>M(x,y) = \frac{1}{AG(\frac{1}{x},\frac{1}{y})}</math>

			==Inequalities==
			We have the following inequality involving the Pythagorean means {''H'', ''G'', ''A''} and iterated Pythagorean means {''HG'', ''HA'', ''GA''}:

			:<math>\min(x,y) \leq H(x,y) \leq HG(x,y) \leq G(x,y) \leq GA(x,y) \leq A(x,y) \leq \max(x,y)</math>

			where the iterated Pythagorean means have been identified with their parts {''H'', ''G'', ''A''} in progressing order:

			* ''H''(''x'', ''y'') is the harmonic mean,
			* ''HG''(''x'', ''y'') is the harmonic–geometric mean,
			* ''G''(''x'', ''y'') = ''HA''(''x'', ''y'') is the geometric mean (which is also the harmonic–arithmetic mean),
			* ''GA''(''x'', ''y'') is the geometric–arithmetic mean,
			* ''A''(''x'', ''y'') is the arithmetic mean.

			==See also==
			* [[Arithmetic–geometric mean]]
			* [[Arithmetic–harmonic mean]]
			* [[Mean]]

			==External links==
			* {{MathWorld\|title=Harmonic-Geometric Mean\|urlname=Harmonic-GeometricMean}}

			{{DEFAULTSORT:Geometric-harmonic mean}}
			[[Category:Means]]

en>A. di M.: rm caps (we're not talking about liturgy!)

2012-08-14T09:36:41Z

rm caps (we're not talking about liturgy!)

New page

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Hierarchy problem - Revision history

en>Omnipaedista: per WP:DRIVEBYTAGGING

Salix alba: /* The cosmological constant */fix tags, replaced: 4 → 4 (2) using AWB

en>Suslindisambiguator at 19:38, 5 January 2014

en>A. di M.: rm caps (we're not talking about liturgy!)

Salix alba: /* The cosmological constant */fix tags, replaced: ^{4 → ⁴ (2) using AWB}