Line at infinity - Revision history

en>Art LaPella: /* References */ spelling, see Macmillan Publishers

2014-12-25T21:07:45Z

References: spelling, see Macmillan Publishers

← Older revision		Revision as of 23:07, 25 December 2014
Line 1:		Line 1:
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24.21.223.30: /* Geometric formulation */ Corrected verb conjugation "...pair of lines intersect[s] at..."

2014-02-11T07:25:52Z

Geometric formulation: Corrected verb conjugation "...pair of lines intersect[s] at..."

← Older revision		Revision as of 09:25, 11 February 2014
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	~~{{redirect\|LXI\|for the electronics association\|LAN eXtensions for Instrumentation}}~~
	~~{{for\|~~the ~~Cyrillic letter\|Ы}}~~
	~~{{Infobox number~~
	~~\| number = 61~~
	~~\| factorization = [[prime number\|prime]]~~
	~~\| prime =~~
	~~\| divisor = 1~~, 61
	}}
	'~~''61''' ('''sixty~~-~~one''~~'~~) is~~ the ~~[[natural number]] following [[60 (number)\|60]]~~ and ~~preceding [[62 (number)\|62]].~~

	~~{{wiktionary\|sixty-one}}~~

	~~==In mathematics==~~
	~~It is~~ the ~~18th [[prime number]]~~. ~~The previous is [[59 (number)\|59]], with which it comprises a [[twin prime]]. Sixty-one is a [[cuban prime]] of the form~~ <~~math~~>~~p = (x^3 - y^3) / (x - y), x = y + 1~~<~~/math~~>.

	61 is ~~9th [[Mersenne prime]] exponent. (2<sup>61</sup> − 1 = {{nowrap\|2,305,843,009,213,693,951}})~~

	~~Sixty-one is the sum of two squares, 5<sup>2</sup> + 6<sup>2</sup>, and~~ it ~~is also~~ a ~~[[centered square number]]~~, ~~a [[centered hexagonal number]] and a [[centered decagonal number]].~~

	~~It is the sixth [[alternating permutation#Related integer sequences\|Euler zigzag number]] (or Up/down number).~~

	~~In [[base 14]], 61 is a [[unique prime]] since no other prime has a 6-digit period in base 14.~~

	~~Since 8! + 1 is divisible by 61~~ but ~~61 is not one more than a multiple~~ of 8, ~~61 is~~ a ~~[[Pillai prime]]~~. ~~In the list~~ of ~~[[Fortunate number]]s~~, ~~61 occurs thrice, since adding 61 to either the tenth, twelfth or seventeenth [[primorial]] gives a prime number (namely 6,469,693,291; 7,420,738,134,871; and 1,922,760,350,154,212,639,131)~~.

	It is ~~also a [[Keith number]], because it recurs in a Fibonacci-like sequence started from its base 10 digits: 6, 1, 7, 8, 15, 23, 38, 61..~~.

	~~==In science==~~
	The ~~chemical element with the [[atomic number]] 61 ([[promethium]])~~, ~~a lanthanide~~, ~~is the element with the secondary lowest ordinal number that does not possess any stable isotopes~~. The ~~promethium preceding element with [[atomic number]] 60 ([[neodymium]])~~ and the ~~promethium following element 62 ([[samarium]]) have all [[stable isotope]]s.~~

	~~===Astronomy===~~
	*[[Messier object]] [[Messier 61\|M61]], a [[visual magnitude\|magnitude]] 10.5 [[galaxy]] in the ~~[[constellation]] [[Virgo (constellation)\|Virgo]]~~
	*The [[New General Catalogue]] [http://www.ngcic.~~org/ object] [[NGC 61]], a double [[spiral galaxy]] in the constellation [[Pisces (constellation)\|Pisces]]~~
	*The ~~[[Saros number\|Saros]] [http://sunearth.gsfc.nasa.gov/eclipse/SEsaros/SEsaros1~~-~~175~~.~~html number] of~~ the ~~[[solar eclipse]] series~~ which ~~began~~ on ~~[[-973]] May 10~~ and ~~ended on 289 June 5. The duration~~ of ~~Saros series 61 was 1262~~.~~1 years~~, and ~~it contained 71 solar eclipses.~~
	*The Saros [http://sunearth.gsfc.nasa.gov/eclipse/LEsaros/LEsaros1-175.html number] of the ~~[[lunar eclipse]] series which began on [[-870]] October 20 and ended on 609 March 26. The duration~~ of ~~Saros series 61 was 1478~~.~~4 years~~, ~~and it contained 83 lunar eclipses.~~
	*61 Ursae Majoris is ~~located about 31~~.~~1 light~~-~~years from Sol.~~[http://www.~~solstation~~.com/~~stars~~/~~61uma.htm]~~
	*61 Cygni was christened the "Flying Star" in 1792 by Giuseppe Piazzi (1746-1826) for its unusually large proper motion. [http:/~~/www.solstation.com/stars/61cygni2.htm]~~

	=~~=In other fields==~~
	~~'''Sixty-one''' is:~~
	* The number of the French department [[Orne]]
	* The [[code for international direct dial]] [[phone]] calls to [[Australia]]
	''[[61]]'', a ~~2001 [[baseball movie]] directed by [[Billy Crystal]]~~
	* [[Highway 61 Revisited]] is a [[Bob Dylan]] album
	* The [[Highway 61 Blues Festival]] occurs annually in Leland, [[Mississippi]]
	* ''[[Highway 61 (film)]]'' is a 1991 film set on U.S. Route 61
	* [[U.S. Route 61]] is the highway that inspired so much attention on "Highway 61"
	* Part 61 is a law created by the [[FAA]] regarding medical exams. This ~~law has often come under attack by [[AOPA]].~~
	* The [[P-61 Black Widow\|P-61]] is the Northrop designed fighter first designated as the XP-61. It first flew on May 26, ~~1942. It is also known as the~~ '~~'Black Widow'' as it was the first fighter aircraft designed~~ to ~~be a night fighter~~
	* Sixty 1 brand tobacco produced by Nationwide Tobacco
	* 61A is the [[London]] address of ~~[[Margot Wendice]] ([[Grace Kelly]]) and [[Tony Wendice]] ([[Ray Milland]]) in the movie "[[Dial M for Murder]]"~~
	* 1 Liberty Place is [[Philadelphia]]'~~s tallest building at 61 stories~~
	* The number of Citadel cadets on the [[Summerall Guards]]
	* The number of points required to win a "standard" game of [[Cribbage]]<ref>Hoyle, ~~Edmund ''Hoyle~~'s ~~Official Rules of Card Games'' pub. Gary Allen Pty Ltd~~, ~~(2004~~) ~~p. 470</ref>~~

	~~==In sports==~~
	* [[New York Yankees]] [[Roger Maris]] hit 61 home runs in ~~1961~~
	* [[Nolan Ryan]] and ~~[[Tom Seaver]] each had 61 career shutouts~~
	* Hockey great [[Wayne Gretzky]] holds or shares 61 [[NHL]] records (~~40 for regular season~~, ~~15 for Stanley Cup playoff and 6 for All-Star Games~~)
	* [[Los Angeles Lakers]]' [[Elgin Baylor]] set a ~~record~~ for ~~61 points in~~ a ~~NBA finals game against~~ the ~~Boston Celtics (April 14, 1962)~~
	* [[Rotation (pool)\|Rotation]], a variation of ~~[[Pool (cue sports)\|pool]], is sometimes called 61~~
	* [[Richie Evans]]' [[NASCAR Whelen Modified Tour]] car number was 61 until his death in ~~1985~~

	~~==References==~~
	* R. ~~Crandall and C~~. ~~Pomerance (2005). ''Prime Numbers~~: ~~A Computational Perspective''~~. ~~Springer, NY, 2005, p~~.~~ 79~~.
	~~<references/>~~

	==~~External links~~==
	~~{{Commons cat\|61 (number)}}~~

	~~{{Integers\|zero}}~~

	~~{{DEFAULTSORT:61}}~~
	[~~[Category~~:~~Integers]~~]

en>Addbot: Bot: Migrating 3 interwiki links, now provided by Wikidata on d:q2130665

2013-03-07T04:06:16Z

Bot: Migrating 3 interwiki links, now provided by Wikidata on d:q2130665

← Older revision		Revision as of 06:06, 7 March 2013
Line 1:		Line 1:
	~~Adrianne Swoboda~~ is ~~what your wife husband loves~~ to ~~make her though she doesn't always really~~ like ~~being text like that~~. ~~Software happening~~ is ~~what she~~ does ~~but she'~~s ~~always longed her own business~~. ~~To drive~~ is ~~something that a~~ [http://~~Www~~.~~alexa~~.com/~~search?q~~=~~majority&r~~=~~topsites_index&p~~=~~bigtop majority~~] ~~of she~~'~~s been doing not~~ that ~~long ago~~. ~~Idaho~~ is ~~where her home~~ is ~~going~~ to be and ~~she will rarely ever move. Go~~ to ~~her website to find out more: http://circuspartypanama.com~~<br><br>~~Also visit my web~~-~~site~~ ... [~~http~~:~~//circuspartypanama.com clash of clans tricks~~]		{{examplefarm\|date=March 2010}}
			{{redirect\|LXI\|for the electronics association\|LAN eXtensions for Instrumentation}}
			{{for\|the Cyrillic letter\|Ы}}
			{{Infobox number
			\| number = 61
			\| factorization = [[prime number\|prime]]
			\| prime =
			\| divisor = 1, 61
			}}
			'''61''' ('''sixty-one''') is the [[natural number]] following [[60 (number)\|60]] and preceding [[62 (number)\|62]].

			{{wiktionary\|sixty-one}}

			==In mathematics==
			It is the 18th [[prime number]]. The previous is [[59 (number)\|59]], with which it comprises a [[twin prime]]. Sixty-one is a [[cuban prime]] of the form <math>p = (x^3 - y^3) / (x - y), x = y + 1</math>.

			61 is 9th [[Mersenne prime]] exponent. (2<sup>61</sup> − 1 = {{nowrap\|2,305,843,009,213,693,951}})

			Sixty-one is the sum of two squares, 5<sup>2</sup> + 6<sup>2</sup>, and it is also a [[centered square number]], a [[centered hexagonal number]] and a [[centered decagonal number]].

			It is the sixth [[alternating permutation#Related integer sequences\|Euler zigzag number]] (or Up/down number).

			In [[base 14]], 61 is a [[unique prime]] since no other prime has a 6-digit period in base 14.

			Since 8! + 1 is divisible by 61 but 61 is not one more than a multiple of 8, 61 is a [[Pillai prime]]. In the list of [[Fortunate number]]s, 61 occurs thrice, since adding 61 to either the tenth, twelfth or seventeenth [[primorial]] gives a prime number (namely 6,469,693,291; 7,420,738,134,871; and 1,922,760,350,154,212,639,131).

			It is also a [[Keith number]], because it recurs in a Fibonacci-like sequence started from its base 10 digits: 6, 1, 7, 8, 15, 23, 38, 61...

			==In science==
			The chemical element with the [[atomic number]] 61 ([[promethium]]), a lanthanide, is the element with the secondary lowest ordinal number that does not possess any stable isotopes. The promethium preceding element with [[atomic number]] 60 ([[neodymium]]) and the promethium following element 62 ([[samarium]]) have all [[stable isotope]]s.

			===Astronomy===
			*[[Messier object]] [[Messier 61\|M61]], a [[visual magnitude\|magnitude]] 10.5 [[galaxy]] in the [[constellation]] [[Virgo (constellation)\|Virgo]]
			*The [[New General Catalogue]] [http://www.ngcic.org/ object] [[NGC 61]], a double [[spiral galaxy]] in the constellation [[Pisces (constellation)\|Pisces]]
			*The [[Saros number\|Saros]] [http://sunearth.gsfc.nasa.gov/eclipse/SEsaros/SEsaros1-175.html number] of the [[solar eclipse]] series which began on [[-973]] May 10 and ended on 289 June 5. The duration of Saros series 61 was 1262.1 years, and it contained 71 solar eclipses.
			*The Saros [http://sunearth.gsfc.nasa.gov/eclipse/LEsaros/LEsaros1-175.html number] of the [[lunar eclipse]] series which began on [[-870]] October 20 and ended on 609 March 26. The duration of Saros series 61 was 1478.4 years, and it contained 83 lunar eclipses.
			*61 Ursae Majoris is located about 31.1 light-years from Sol.[http://www.solstation.com/stars/61uma.htm]
			*61 Cygni was christened the "Flying Star" in 1792 by Giuseppe Piazzi (1746-1826) for its unusually large proper motion. [http://www.solstation.com/stars/61cygni2.htm]

			==In other fields==
			'''Sixty-one''' is:
			* The number of the French department [[Orne]]
			* The [[code for international direct dial]] [[phone]] calls to [[Australia]]
			''[[61]]'', a 2001 [[baseball movie]] directed by [[Billy Crystal]]
			* [[Highway 61 Revisited]] is a [[Bob Dylan]] album
			* The [[Highway 61 Blues Festival]] occurs annually in Leland, [[Mississippi]]
			* ''[[Highway 61 (film)]]'' is a 1991 film set on U.S. Route 61
			* [[U.S. Route 61]] is the highway that inspired so much attention on "Highway 61"
			* Part 61 is a law created by the [[FAA]] regarding medical exams. This law has often come under attack by [[AOPA]].
			* The [[P-61 Black Widow\|P-61]] is the Northrop designed fighter first designated as the XP-61. It first flew on May 26, 1942. It is also known as the ''Black Widow'' as it was the first fighter aircraft designed to be a night fighter
			* Sixty 1 brand tobacco produced by Nationwide Tobacco
			* 61A is the [[London]] address of [[Margot Wendice]] ([[Grace Kelly]]) and [[Tony Wendice]] ([[Ray Milland]]) in the movie "[[Dial M for Murder]]"
			* 1 Liberty Place is [[Philadelphia]]'s tallest building at 61 stories
			* The number of Citadel cadets on the [[Summerall Guards]]
			* The number of points required to win a "standard" game of [[Cribbage]]<ref>Hoyle, Edmund ''Hoyle's Official Rules of Card Games'' pub. Gary Allen Pty Ltd, (2004) p. 470</ref>

			==In sports==
			* [[New York Yankees]] [[Roger Maris]] hit 61 home runs in 1961
			* [[Nolan Ryan]] and [[Tom Seaver]] each had 61 career shutouts
			* Hockey great [[Wayne Gretzky]] holds or shares 61 [[NHL]] records (40 for regular season, 15 for Stanley Cup playoff and 6 for All-Star Games)
			* [[Los Angeles Lakers]]' [[Elgin Baylor]] set a record for 61 points in a NBA finals game against the Boston Celtics (April 14, 1962)
			* [[Rotation (pool)\|Rotation]], a variation of [[Pool (cue sports)\|pool]], is sometimes called 61
			* [[Richie Evans]]' [[NASCAR Whelen Modified Tour]] car number was 61 until his death in 1985

			==References==
			* R. Crandall and C. Pomerance (2005). ''Prime Numbers: A Computational Perspective''. Springer, NY, 2005, p. 79.
			<references/>

			==External links==
			{{Commons cat\|61 (number)}}

			{{Integers\|zero}}

			{{DEFAULTSORT:61}}
			[[Category:Integers]]

en>Reedy Bot: /* References */Tagging for AFT v5

2012-01-04T22:50:26Z

References: Tagging for AFT v5

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