View Single Post
  #2  
Old 07-31-2012, 12:13 AM
yaser's Avatar
yaser yaser is offline
Caltech
 
Join Date: Aug 2009
Location: Pasadena, California, USA
Posts: 1,478
Default Re: Does dichotomy require growth function=2 for N=1?

Quote:
Originally Posted by Thomaseid View Post
According to the definition of dichotomy, is it that at least for one point, there should be two ways to label this only point (+1 or -1), thus growth function=2 is required for N=1? Is this statement correct?
A dichotomy is a single pattern of \pm 1's on the N points. It does not say anything about other patterns that may be valid on these points, so there is no implication on the value of the growth function.
__________________
Where everyone thinks alike, no one thinks very much
Reply With Quote