
	Where results make sense

Topic: Conway chained arrow

Related Topics

Ackermann function

Nazca

Tetration

Recursion

Solar power satellite

Open gaming

Pearl River estuary

Mount Isa

South Bay

Leitrim

List of Prime Ministers of Italy

Christian County, Illinois

The Chicago Manual of Style

List of messiahs

Hang Seng Bank

	Conway chained arrow notation - Encyclopedia, History, Geography and Biography (Site not responding. Last check: 2007-10-19)
		With Knuth's arrows: $2 \uparrow \uparrow \uparrow 4 = 2 \uparrow \uparrow 2\uparrow \uparrow 2 \uparrow \uparrow 2=2 \uparrow \uparrow 2 \uparrow \uparrow 2 \uparrow 2=2\uparrow \uparrow 2 \uparrow \uparrow 4=2 \uparrow \uparrow 2 \uparrow 2 \uparrow 2 \uparrow 2 = 2 \uparrow \uparrow 65536$ .
		With Knuth's arrows: $2 \uparrow \uparrow \uparrow \uparrow \uparrow \uparrow 2 \uparrow \uparrow \uparrow \uparrow \uparrow 2 \uparrow \uparrow \uparrow \uparrow 2 \uparrow \uparrow \uparrow 2 \uparrow \uparrow 65536.$
		With Knuth's arrows: $3 \uparrow \uparrow \uparrow \uparrow \uparrow \uparrow \uparrow 3 \uparrow \uparrow \uparrow \uparrow \uparrow \uparrow 3 \uparrow \uparrow \uparrow \uparrow \uparrow 3 \uparrow \uparrow \uparrow \uparrow 3 \uparrow \uparrow \uparrow 3 \uparrow \uparrow 7.6e12.$
	www.arikah.net /encyclopedia/Conway_chained_arrow (1075 words)

	Conway chained arrow notation - Encyclopedia.WorldSearch (Site not responding. Last check: 2007-10-19)
		Conway chained arrow notation, created by mathematician John Conway, is a means of expressing certain extremely large numbers.
		The first rule is the core: A chain of 3 or more elements ending with 2 or higher becomes a chain of the same length with a (usually vastly) increased penultimate element.
		After, to paraphrase Knuth, "much detail," the chain is reduced to two elements and the third rule terminates the recursion.
	encyclopedia.worldsearch.com /conway_chained_arrow_notation.htm (705 words)

	PlanetMath: Conway's chained arrow notation
		Conway's chained arrow notation is a way of writing numbers even larger than those provided by the up arrow notation.
		"Conway's chained arrow notation" is owned by Henry.
		This is version 5 of Conway's chained arrow notation, born on 2002-08-24, modified 2004-05-10.
	www.planetmath.org /encyclopedia/ConwaysChainedArrowNotation.html (110 words)

	Conway chained arrow notation - Wikipedia, the free encyclopedia (Site not responding. Last check: 2007-10-19)
		The notation is in particular relevant for chains of four or more elements.
		Note that in the second case no paentheses are needed in the power notation, since right-to-left evaluation is implied, while the Conway chain needs them because otherwise the meaning is as in the first case.
		A chain of length one is equal to the number itself.
	wikipedia.lotsofinformation.com /wiki/index.php/Conway_chained_arrow (682 words)

	Knowledge King - Conway chained arrow (Site not responding. Last check: 2007-10-19)
		Conway's chained arrow notation is a means of expressing certain large numbers.
		Whereas chains of other infixed symbols (eg 3+4+5+6+7) can often be considered in fragments (eg (3+4)+5+(6+7)) without a change of meaning (see associativity), that is not so with Conway's arrow.
		Knuth's arrow and the hyper operators equate to 3-element chains:
	www.knowledgeking.net /encyclopedia/c/co/conway_chained_arrow.html (461 words)

	John Conway (Site not responding. Last check: 2007-10-19)
		John Horton Conway (born December 26, 1937, Liverpool, England) is a prolific mathematician active in the theory of finite groups, knot theory, number theory, combinatorial game theory and coding theory.
		He invented a new number system, the surreal numbers, which are closely related to certain games and have been the subject of a mathematical novel by Donald Knuth.
		Conway is professor of mathematics at Princeton University.
	www.bopedia.com /en/wikipedia/j/jo/john_conway.html (208 words)

	Large Numbers at MROB (Site not responding. Last check: 2007-10-19)
		The arrow is not an ordinary dyadic operator.
		Conway is silent about the meaning of a two-element chain, but a definition is necessary.
		Remember, the arrows are all taken together at once.
	home.earthlink.net /~mrob/pub/math/largenum-4.html (1918 words)

	Encyclopedia: Knuth's-up arrow-notation (Site not responding. Last check: 2007-10-19)
		The Conway chained arrow can then be used: a chain of three elements is equivalent with the other notations, but a chain of four or more is even more powerful.
		It is generally suggested that Knuth's arrow should be used for relatively smaller magnitude numbers, and the chained arrow or hyper operators for larger ones.
		This is significant since the arrow operators are not commutative.
	www.nationmaster.com /encyclopedia/Knuth%27s_up-arrow_notation (1299 words)

	Encyclopedia: John Conway (Site not responding. Last check: 2007-10-19)
		The classification of the finite simple groups is a vast body of work in mathematics, mostly published between around 1955 and 1983, which is thought to classify all of the finite simple groups.
		Conway is currently professor of mathematics at Princeton University.
		Conways LUX method for magic squares is an algorithm for creating magic squares of order 4n+2, where n is a natural number.
	www.nationmaster.com /encyclopedia/John-Conway (1145 words)

	Conway chained arrow notation (Site not responding. Last check: 2007-10-19)
		Whereas chains of other infixed symbols 3+4+5+6+7) can often be considered in fragments (3+4)+5+(6+7)) without a change of meaning (see associativity) that is not so with Conway's
		The first rule is the core: A of 3 or more elements ending with or higher becomes a chain of the length with a (usually vastly) increased penultimate But its ultimate element is decremented eventually permitting the rule to shorten the chain.
		After to Knuth "much detail " the chain is to two elements and the third rule the recursion.
	www.freeglossary.com /Conway_chained_arrow_notation (671 words)

	Conway chained arrow notation -- Facts, Info, and Encyclopedia article (Site not responding. Last check: 2007-10-19)
		Conway chained arrow notation, created by mathematician (Click link for more info and facts about John Conway) John Conway, is a means of expressing certain extremely (A large indefinite number) large numbers.
		It is simply a finite sequence of positive (Any of the natural numbers (positive or negative) or zero) integers separated by rightward arrows, e.g.
		In the following definition, a chain is a sequence of one or more numbers connected by right-arrows "→", a sub-chain is a chain that is directly part of a larger chain (with no grouping), and a complete chain is a chain that is not a sub-chain.
	www.absoluteastronomy.com /encyclopedia/C/Co/Conway_chained_arrow_notation.htm (850 words)

	Search Encyclopedia.com
		chain chain, flexible series of connected links used in various ways, especially for the transmission of motive power, for hoisting (see pulley), and for securing or fastening.
		Conway of Allington, William Martin Conway, 1st Baron Conway of Allington, William Martin Conway, 1st Baron, 1856-1937, English explorer, art historian, and writer.
		Conway Cabal Conway Cabal, 1777, intrigue in the American Revolution to remove George Washington as commander in chief of the Continental Army.
	www.encyclopedia.com /searchpool.asp?target=Conway+chained+arrow (471 words)

	Conway Castle - Hutchinson encyclopedia article about Conway Castle
		Castle in Conway, Wales, at the northeastern end of the Menai Strait.
		Its principal purpose was to protect the trade route through the Vale of Conway, and the design included walling the town.
		Completed by 1290, it withstood a siege by the Welsh in 1294, but within 30 years it was showing signs of decay and was rebuilt in 1346.
	encyclopedia.farlex.com /Conway%20Castle (249 words)

	Maybe this Explains the Economic Cycle... best Conway Notation (Site not responding. Last check: 2007-10-19)
		2000-03-27: The Conway notation of 11(225) is 3,21,21,2...
		Conway's chained arrow notation Conway's chained arrow notation...
		Conway uses a sequence of integers to represent a knot (rational tangle).
	ascot.pl /th/Fourier3/Conway-Notation.htm (585 words)

	John Conway -- Facts, Info, and Encyclopedia article (Site not responding. Last check: 2007-10-19)
		With Michael Guy, he established that there are 64 convex nonprismatic (Clothing of distinctive design worn by members of a particular group as a means of identification) uniform (Click link for more info and facts about polychora) polychora in the mid-1960s.
		Conway is currently professor of mathematics at (A university in New Jersey) Princeton University.
		He is a dynamic professor who can swing a coathanger with a penny balanced on its tip around his finger while balancing a broom on his chin, although he claims that his age is getting in the way of the trick (April 2005).
	www.absoluteastronomy.com /encyclopedia/J/Jo/John_Conway.htm (409 words)

	Black Knight [2001] - 4.6.4
		A fight breaks out in a street with lots of punching, kicking, a knee to the groin, and arrows are shot at a man. Two men fight with swords landing several hard blows.
		A man talks about an execution that was done with a dull blade and "took all day." A man talks about a man having been swallowed by a dragon and that he cut himself free from the inside.
		Several men are shown chained to the wall of a dungeon and one hangs from the ceiling in a cage.
	www.kids-in-mind.com /b/black_knight_2001.htm (1007 words)

	Conway chained arrow notation - TheBestLinks.com - Associativity, Ackermann function, Donald Knuth, Integers, ...
		Conway chained arrow notation - TheBestLinks.com - Associativity, Ackermann function, Donald Knuth, Integers,...
		Conway chained arrow, Conway chained arrow notation, Associativity, Ackermann...
		(3+4)+5+(6+7)) without a change of meaning (see associativity), that is not so with Conway's arrow.
	www.thebestlinks.com /Conway_chained_arrow.html (536 words)

	Chained arrow notation (Site not responding. Last check: 2007-10-19)
		I was trying to get a handle on Conway's chained arrow expression a -= b -= c -=.....x -= y -= z when I came across this diagram of Graham's number on the web--- / 1) 3^^^^3
		Nothing is probably etched in stone for Conway's notation,but it seems to me that the final number in each section should be no more than 4 numbers.
		Nothing is probable etched in stone for Conway's notation, but it seems to me that the final number in each section should be no more than four numbers.
	www.thehelparchive.com /new-2284671-278.html (1964 words)

	Conway chained arrow - Definition up Erdmond.Com
		:(1) A chain ''X→p→(q+1)'' of more than 2 elements not ending in 1 is the same as ''X→(X→(...X→(X)→q...)→q)→q'' (with ''p'' copies of ''X'').
		Knuth's arrow and the hyper operators equate to 3-element chains: :''p→q→r'' = hyper''(p,r+2,q)'' = ''p^…^q'' with ''r'' up-arrows.
		Conway's arrow doesn't help to express Graham's_number G succinctly, but: 3→3→64→2 < G < 3→3→65→2 Applying the first rule above, 3→3→64→2 = 3→3→(3→3→(...3→3→(3→3)→1...)→1)→1 with 128 threes.
	www.erdmond.com /Conway_chained_arrow.html (422 words)

	PlanetMath: Knuth's up arrow notation
		Knuth's up arrow noation is a way of writing numbers which would be unwieldy in standard decimal notation.
		"Knuth's up arrow notation" is owned by Henry.
		This is version 4 of Knuth's up arrow notation, born on 2002-08-24, modified 2004-05-10.
	planetmath.org /encyclopedia/UpArrow2.html (96 words)

	arrow
		An arrow is a projectile that is shot with a bow.
		An arrow is a long and thin formerly of wood now, aluminum or carbon fiber matrix are common materials, pointed (or armed with an arrowhead if the purpose is hunting rather than target-shooting) at one end and with a notch in the other.
		An arrow is a universally recognized symbol for directional movement.
	www.fact-library.com /arrow.html (249 words)

	PlanetMath: order of operations
		Completely new operations are typically assumed to have the highest priority, but the definition of the operation should be accompanied by some sort of explanation of how it is evaluated in relation to itself.
		For example, Conway's chained arrow notation explicitly defines what order repeated applications of itself should be evaluated in (it is right-to-left rather than left-to-right)!
		Cross-references: Conway's chained arrow notation, relation, sort, bound, reals, associative, solution, type, division, factorial, universal, sum, simple, operations, term, group, outcomes, order, Variables, operators
	planetmath.org /encyclopedia/OrderOfOperations.html (574 words)

	The Comic Treadmill: March 2004 Archives (Site not responding. Last check: 2007-10-19)
		I’ve panned Gerry Conway’s combined writing/editing work on the first 3 issues of this revival and looking at this issue with a critical eye, I know it deserves the same panning.
		When I am in a generous mood I consider Conway a hack who was too busy cranking out multiple books to take the time to proofread his work.
		Conway didn’t seem to have any themes in mind for the book, so I’ll hold off on commenting on that topic until Paul Levitz comes on board in issue 62.
	www.comictreadmill.com /CTMBlogarchives/2004/2004_Monthly/2004_03.php (9112 words)

	Bridger Conway (Site not responding. Last check: 2007-10-19)
		Several ships of the Royal Navy have been named HMS Conway, most famously the school ship.
		Two ships of the United States Navy have been named USS Conway.
		Commonly appearing connections are : Bridger Conway, Bridger Creek Golf Course, Bridger Creek Golf Course, Bridger Financial, Bridger Financial, Bridger Fire, Bridger Fire, Bridger Funding, Bridger Funding, Bridger Jim, Bridger Jim, Bridger Mcgaw, Bridger Mcgaw, Bridger Mini, Bridger Mini, Bridger Montana, Bridger Mountain, Bridger Mountain, Bridger Mountain Log Homes, Bridger Mountain Log Homes
	www.swingdancemusic.com /send/201-bridger%20conway.html (445 words)

	Talk:Conway chained arrow notation - InformationBlast (Site not responding. Last check: 2007-10-19)
		I understand Knuth's up-arrow notation which is explained.
		Every chain is equivalent to some shorter chain with the same head.
		A chain beginning with two 2s stands for 4.
	www.informationblast.com /Talk:Conway_chained_arrow.html (257 words)

	Encyclopedia: Conway chained arrow notation (Site not responding. Last check: 2007-10-19)
		People who viewed "Conway chained arrow notation" also viewed:
		Updated 257 days 18 hours 6 minutes ago.
		A chain X→p→(q+1) of more than 2 elements not ending in 1 is the same as
	www.nationmaster.com /encyclopedia/Conway-chained-arrow-notation (721 words)

	[No title]
		Conway has a wall a mile and a quarter in length, with twenty-one semicircular towers along its course and three great gateways besides posterns.
		Under the hall is a gaol, a wretched prison wherein the miserable captives were chained to a beam that ran down the centre.
		The walls are strengthened by round towers so placed as not to be beyond bowshot of each other, in order that their arrows might reach the enemy who should attempt to scale the walls in the intervals.
	www.gutenberg.org /files/14742/14742.txt (19725 words)

	John Conway (Site not responding. Last check: 2007-10-19)
		Chris Haggerty's 4-yard scoring pass to Billy Conway early in the fourth quarter...
		He also invented a nomenclature for exceedingly large numbers, the Conway chained arrow.
		John Horton Conway and Michael Guy established that there are 64 convex nonprismatic uniform polychora in the mid-1960s.
	www.wikiverse.org /john-conway (399 words)

Try your search on: Qwika (all wikis)