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Andrew Robbins' Tetration Extension
#23
(06/29/2009, 08:20 PM)tommy1729 Wrote: i want andrew robbins to compute slog(A) ( exp(A) = A )

That is indeterminate.

(06/29/2009, 08:20 PM)tommy1729 Wrote: how many slog's are there anyway ??

I only know of 3 slogs that are defined from scratch:
  1. The integer-valued superlog, which is better known as log star.
  2. The intuitive superlog, which is based on the research of Peter Walker and a few people on this forum.
  3. A continued fraction superlog (Nelson's superlog), based on this conversation, which I wrote about in section 4.4.6 of the Tetration Reference.
Of these definitions of superlogs, the only continuous one so far is the intuitive/natural superlog, and all other definitions of superlogs are defined as the inverse function of tetration where tetration is defined directly.

Andrew Robbins
On a slightly related note, you might as well try and calculate simpler cases (all of which are indeterminate, if my mental calculations are correct)

1^^-1
1^^-2
0^^-2

I'm sure you can find other places where the value of tetration is indeterminate.
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Messages In This Thread
Andrew Robbins' Tetration Extension - by bo198214 - 08/07/2007, 04:38 PM
RE: Andrew Robbins' Tetration Extension - by andydude - 07/27/2009, 08:10 AM

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