non-natural operation ranks
#2
bo198214 Wrote:Some basic thoughts

If we want to summarize our operation sequence [n] we can perhaps write:

\( b[n]x=f_{n,b}(x) \), where

\( f_{1,b}(x) = b+x \)
\( f_{n+1,b} = t\to f_{n,b}^{\circ t}(1) \), \( n\ge 1 \)

I was thinking of a function like:

\( b[t]z=F(b,t,z) \) so that for every combination of 3 at least complex variables we get one as a result. The type of number that will be the result is not obvious - there has been a discussion that new number types may appear.
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Messages In This Thread
non-natural operation ranks - by bo198214 - 05/02/2008, 10:11 PM
RE: non-natural operation ranks - by Ivars - 05/25/2008, 05:31 PM
RE: non-natural operation ranks - by bo198214 - 05/25/2008, 07:30 PM
RE: non-natural operation ranks - by andydude - 05/27/2008, 06:31 PM

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