Conway chained arrow notation: Difference between revisions

Content deleted Content added
Tags: Mobile edit Mobile web edit
Reverted 2 edits by ARandomStringTheorist (talk): Nothing was "fixed", you simply removed maintenance tags
 
(4 intermediate revisions by 3 users not shown)
Line 8:
A "Conway chain" is defined as follows:
* Any positive integer is a chain of length <math>1</math>.
* A chain of length ''<math>n''</math>, followed by a right-arrow → and a positive integer, together form a chain of length <math>n+1</math>.
 
Any chain represents an integer, according to the six rules below. Two chains are said to be equivalent if they represent the same integer.
 
Let <math>a, b, c</math> denote positive integers and let <math>\#</math> denote the unchanged remainder of the chain. Then:
#An empty chain (or a chain of length <math>0</math>) is equal to <math>1</math>.
#The chain <math>a</math> represents the number <math>a</math>.
#The chain <math>a \rightarrow b</math> represents the number <math>a^b</math>.
Line 76:
:<math>={^{65536}2}</math>
:<math>\approx \exp_{10}^{65533}(4.29508)</math>
:...
:(see [[tetration]])