Particle-beam weapon - Revision history

en>JorisvS: /* Modern experiments */ not specified

2015-01-06T19:57:33Z

Modern experiments: not specified

← Older revision		Revision as of 21:57, 6 January 2015
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	There are literally 1000's upon hundreds of creams and serums out there that all promise to turn again the clock and other wishful claims, but at this level there's only one super ingredient that basically delivers on such guarantees. That would be retinoids , mates.<br><br>As I defined to the Council assembly, we're basically putting all the Group assets behind this undertaking in that the lease will taken sic within the name of UAST and I will write a letter from this firm guaranteeing their obligations. This has the effect of providing you with the each day cash circulation from Singapore in assist of the undertaking in addition to all of the Group sources by way of cash obtainable, new funds which turn out to be obtainable by way of financing packages as well as borrowing capabilities inside the group which are at present un-utilised.<br><br>This motion arose out of the proposed development of a 7-screen cineplex at Parkway Parade Purchasing Centre (~~"Parkway Parade"~~). It was a sizeable challenge no simpler by the fact that the positioning for the proposed cineplex was to be on common property belonging to the second defendants. Meet and community with the creators of standard made-in-Singapore games, and learn about the different types of mental properties in game growth. Stay tuned for particulars. In SGD In AUD Minimal loan quantity S$300,000 A$200,000 Maximum mortgage quantity As much as 70% As much as 70% Property standing Completed and constructing-below-construction Curiosity commencement From date of first launch of mortgage NEWS Way forward for world metropolis real property markets to be shaped by fame in addition to fortune<br><br>In February 2010, the Government imposed a vendor's stamp obligation (~~SSD~~) for sellers who buy (or purchase) residential properties on or after 20 February 2010 and sell (or disposed of) them inside one year of acquisition. Properties acquired before 20 Feb 2010 is not going to be topic to SSD. The quantity of SSD is computed based mostly on the identical charges as the client's stamp duty. On 7 December 2011, ~~the Government~~ has introduced the implementation of additional purchaser's stamp responsibility (ABSD) to be paid by sure profiles of people that buy or acquire residential properties (together with residential land). Consumer watchdog CASE has welcomed the move, declaring that it isn't obligatory to have agents facilitate a property transaction. Public housing hots up while personal cools<br><br>In September 2001, Concorde Inns & Resorts was officially renamed as HPL Inns & Resorts. The Singapore-based mostly hospitality administration company is wholly owned by Singapore public-listed firm, Hotel Properties Limited (HPL). HPL is widely recognized for its association with a number of the most distinguished brands on the earth. any unit in an authorized condominium growth beneath the Planning Act ( foreigner shouldn't be allowed to acquire all the units inside a constructing in a condominium growth with out the prior approval from the relevant authority) This is because suburban condo projects "normally haven't got distinctive designs and thus have little intrinsic resale worth that may be extracted within the longer run." Personal Property 0 Remark Commission to agent<br><br>Their new venture is losing no time within the U.S. market. In lower than two months, ~~Vietnam Town is definitely SingHaiyi's second~~ [http://~~paixaoemcristo~~.com~~.br~~/~~members/albercni/activity/66421/ big property~~ developers in singapore~~] buy of distressed real property in lower than two months~~. ~~On September 19,~~ in ~~a courtroom–ordered auction~~, ~~it purchased an operational shopping center in Cincinnati at a 77% low cost to its unaudited net guide worth of $45 million as on June 30 by way of a foreclosure auction~~. ~~Purchased free of any debt or encumbrances, the acquisition is already earning profits for the group!~~		Court Bailiff or Sheriff (Aus) / Court Libraries Official (NZ ) Odis from Markham, has several hobbies and interests including fast, [http://www.ubonbioethanol.com/?option=com_k2&view=itemlist&task=user&id=80548 Big Property Developers In Singapore] developers in singapore and hot air balooning. Finds the charm in going to places around the world, recently only returning from Hazor.

en>JorisvS: /* Tesla */

2014-02-09T10:46:10Z

Tesla

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	~~In [[mathematics]],~~ '~~''Gauss' constant''', denoted by ''G'', is defined as the [[Multiplicative inverse\|reciprocal]]~~ of the ~~[[arithmetic-geometric mean]] of [[1 (number)\|1]]~~ and ~~the [[square root of 2]]:~~		There are literally 1000's upon hundreds of creams and serums out there that all promise to turn again the clock and other wishful claims, but at this level there's only one super ingredient that basically delivers on such guarantees. That would be retinoids , mates.<br><br>As I defined to the Council assembly, we're basically putting all the Group assets behind this undertaking in that the lease will taken sic within the name of UAST and I will write a letter from this firm guaranteeing their obligations. This has the effect of providing you with the each day cash circulation from Singapore in assist of the undertaking in addition to all of the Group sources by way of cash obtainable, new funds which turn out to be obtainable by way of financing packages as well as borrowing capabilities inside the group which are at present un-utilised.<br><br>This motion arose out of the proposed development of a 7-screen cineplex at Parkway Parade Purchasing Centre ("Parkway Parade"). It was a sizeable challenge no simpler by the fact that the positioning for the proposed cineplex was to be on common property belonging to the second defendants. Meet and community with the creators of standard made-in-Singapore games, and learn about the different types of mental properties in game growth. Stay tuned for particulars. In SGD In AUD Minimal loan quantity S$300,000 A$200,000 Maximum mortgage quantity As much as 70% As much as 70% Property standing Completed and constructing-below-construction Curiosity commencement From date of first launch of mortgage NEWS Way forward for world metropolis real property markets to be shaped by fame in addition to fortune<br><br>In February 2010, the Government imposed a vendor's stamp obligation (SSD) for sellers who buy (or purchase) residential properties on or after 20 February 2010 and sell (or disposed of) them inside one year of acquisition. Properties acquired before 20 Feb 2010 is not going to be topic to SSD. The quantity of SSD is computed based mostly on the identical charges as the client's stamp duty. On 7 December 2011, the Government has introduced the implementation of additional purchaser's stamp responsibility (ABSD) to be paid by sure profiles of people that buy or acquire residential properties (together with residential land). Consumer watchdog CASE has welcomed the move, declaring that it isn't obligatory to have agents facilitate a property transaction. Public housing hots up while personal cools<br><br>In September 2001, Concorde Inns & Resorts was officially renamed as HPL Inns & Resorts. The Singapore-based mostly hospitality administration company is wholly owned by Singapore public-listed firm, Hotel Properties Limited (HPL). HPL is widely recognized for its association with a number of the most distinguished brands on the earth. any unit in an authorized condominium growth beneath the Planning Act ( foreigner shouldn't be allowed to acquire all the units inside a constructing in a condominium growth with out the prior approval from the relevant authority) This is because suburban condo projects "normally haven't got distinctive designs and thus have little intrinsic resale worth that may be extracted within the longer run." Personal Property 0 Remark Commission to agent<br><br>Their new venture is losing no time within the U.S. market. In lower than two months, Vietnam Town is definitely SingHaiyi's second [http://paixaoemcristo.com.br/members/albercni/activity/66421/ big property developers in singapore] buy of distressed real property in lower than two months. On September 19, in a courtroom–ordered auction, it purchased an operational shopping center in Cincinnati at a 77% low cost to its unaudited net guide worth of $45 million as on June 30 by way of a foreclosure auction. Purchased free of any debt or encumbrances, the acquisition is already earning profits for the group!

	~~: <math> G = \frac{1}{\mathrm{agm}(1~~, ~~\sqrt{2})} = 0~~.~~8346268\dots~~.<~~/math>~~

	~~The [[mathematical constant\|constant]] is named after [[Carl Friedrich Gauss]], who on May 30, 1799 discovered that~~

	~~: <math~~> ~~G = \frac{2}{\pi}\int_0^1\frac{dx}{\sqrt{1 - x^4}}~~ <~~/math~~>

	~~so that~~

	~~: <math> G = \frac{1}{2\pi}B( \tfrac{1}{4}~~, ~~\tfrac{1}{2})</math>~~

	~~where~~ '~~'B'' denotes~~ the ~~[[beta function]]~~.

	~~Gauss' constant should not be confused~~ with the ~~[[Gaussian gravitational constant]].~~

	~~==Relations~~ to ~~other constants==~~
	~~Gauss' constant may~~ be ~~used to express~~ the ~~[[Gamma function]]~~ at ~~[[particular values of the Gamma function\|argument 1/4]]:~~

	: <~~math~~> ~~\Gamma( \tfrac{1}{4}) = \sqrt{ 2G \sqrt{ 2\pi^3 } }~~ <~~/math~~>

	~~and since π and Γ~~(~~1/4~~) ~~are [[algebraically independent]] with Γ(1/4) irrational, Gauss' constant is [[transcendental number\|transcendental]]~~.

	~~===Lemniscate constants===~~
	~~Gauss' constant may~~ be ~~used~~ in the ~~definition~~ of ~~the lemniscate constants~~, ~~the~~ first of ~~which is:~~

	: <~~math~~> ~~L_1\;=\;\pi G~~ <~~/math~~>

	~~and the second constant:~~

	~~: <math> L_2\,\,=\,\~~,~~\frac{1}{2G} </math>~~

	~~which arise in finding~~ the ~~[[arc length]]~~ of ~~a [[lemniscate~~ of ~~Bernoulli\|lemniscate]]~~.

	~~==Other formulas==~~
	~~A formula for~~ ''~~G'' in terms of [[theta function\|Jacobi theta function]]~~s ~~is given~~ by

	~~: <math>G = \vartheta_{01}^2~~(~~e^{-\pi}~~) <~~/math~~>

	~~as well as the rapidly converging series~~

	: <~~math~~>~~G = \sqrt[4]{32}e^{~~-~~\frac{\pi}{3}}\left (\sum_{n =~~ -~~\infty}^\infty (-1)^n e^{-2n\pi~~(~~3n+1)} \right~~ )^2.~~</math>~~

	~~The constant~~ is ~~also given by~~ the ~~[[infinite product]]~~

	~~:<math>G = \prod_{m = 1}^\infty \tanh^2 \left~~( ~~\frac{\pi m}{2}\right).</math>~~

	~~It appears~~ in the ~~evaluation of~~ the ~~integrals~~

	~~: <math> {\frac{1}{G}} = \int_0^{\pi/2}\sqrt{\sin(x~~)~~}dx=\int_0^{\pi/2}\sqrt{\cos(x)}dx </math>~~

	: <~~math~~> ~~G = \int_0^{\infty}{\frac{dx}{\sqrt{\cosh(\pi x)}}}~~ <~~/math~~>

	~~Gauss' constant as a [[continued fraction]]~~ is ~~[0, 1, 5, 21, 3, 4, 14, ~~...].

	~~==See also==~~
	*[[Lemniscatic elliptic function]]

	~~==References==~~
	*{{mathworld\|urlname=GausssConstant\|title=Gauss's ~~Constant}}~~
	* Sequences A014549 and A053002 in [~~[OEIS]]~~

	~~[[Category~~:~~Mathematical constants]]~~
	~~[[Category:Transcendental numbers]~~]

en>Monkbot: Fix CS1 deprecated date parameter errors

2014-01-28T05:25:48Z

Fix CS1 deprecated date parameter errors

New page

In [[mathematics]], '''Gauss' constant''', denoted by ''G'', is defined as the [[Multiplicative inverse|reciprocal]] of the [[arithmetic-geometric mean]] of [[1 (number)|1]] and the [[square root of 2]]:

: <math> G = \frac{1}{\mathrm{agm}(1, \sqrt{2})} = 0.8346268\dots.</math>

The [[mathematical constant|constant]] is named after [[Carl Friedrich Gauss]], who on May 30, 1799 discovered that

: <math> G = \frac{2}{\pi}\int_0^1\frac{dx}{\sqrt{1 - x^4}} </math>

so that

: <math> G = \frac{1}{2\pi}B( \tfrac{1}{4}, \tfrac{1}{2})</math>

where ''B'' denotes the [[beta function]].

Gauss' constant should not be confused with the [[Gaussian gravitational constant]].

==Relations to other constants==
Gauss' constant may be used to express the [[Gamma function]] at [[particular values of the Gamma function|argument 1/4]]:

: <math> \Gamma( \tfrac{1}{4}) = \sqrt{ 2G \sqrt{ 2\pi^3 } } </math>

and since π and Γ(1/4) are [[algebraically independent]] with Γ(1/4) irrational, Gauss' constant is [[transcendental number|transcendental]].

===Lemniscate constants===
Gauss' constant may be used in the definition of the lemniscate constants, the first of which is:

: <math> L_1\;=\;\pi G </math>

and the second constant:

: <math> L_2\,\,=\,\,\frac{1}{2G} </math>

which arise in finding the [[arc length]] of a [[lemniscate of Bernoulli|lemniscate]].

==Other formulas==
A formula for ''G'' in terms of [[theta function|Jacobi theta function]]s is given by

: <math>G = \vartheta_{01}^2(e^{-\pi}) </math>

as well as the rapidly converging series

: <math>G = \sqrt[4]{32}e^{-\frac{\pi}{3}}\left (\sum_{n = -\infty}^\infty (-1)^n e^{-2n\pi(3n+1)} \right )^2.</math>

The constant is also given by the [[infinite product]]

:<math>G = \prod_{m = 1}^\infty \tanh^2 \left( \frac{\pi m}{2}\right).</math>

It appears in the evaluation of the integrals

: <math> {\frac{1}{G}} = \int_0^{\pi/2}\sqrt{\sin(x)}dx=\int_0^{\pi/2}\sqrt{\cos(x)}dx </math>

: <math> G = \int_0^{\infty}{\frac{dx}{\sqrt{\cosh(\pi x)}}} </math>

Gauss' constant as a [[continued fraction]] is [0, 1, 5, 21, 3, 4, 14, ...].

==See also==
*[[Lemniscatic elliptic function]]

==References==
*{{mathworld|urlname=GausssConstant|title=Gauss's Constant}}
* Sequences A014549 and A053002 in [[OEIS]]

[[Category:Mathematical constants]]
[[Category:Transcendental numbers]]