Conway chained arrow notation - Wikipedia. Conway chained arrow notation, created by mathematician John Horton Conway, is a means of expressing certain extremely large numbers. It is simply a finite sequence of positive integers separated by rightward arrows, e.
In this case the notation eventually resolves to being the leftmost number raised to some (usually enormous) integer power. Definition and overview. Two chains are said to be equivalent if they represent the same integer.
If p. Arrow chains do not describe the iterated application of a binary operator. Whereas chains of other infixed symbols (e. Conway's arrow. For example: The fourth 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. But its ultimate element is decremented, eventually permitting the third rule to shorten the chain. After, to paraphrase Knuth, . Here are some small examples: n= n (by rule 1)p.
If, for any chain X, we let f(p)=X. When we write gq(p)=X.
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In the case above, g. For example, note that. Conway & Richard K. Guy, The Book of Numbers, 1.
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