Generalized recursive operators
#20
Another thought-just forgive me please:

-i was the result of infinite tetration of e^pi/2
-pi/2 is a result of infinite pentation of e^(1/e)

-pi/2 is also lni/i which in my outragoues formulation was dI= -pi/2 .

dI was considered by me a hypersurface of hypervolume -i . Now it seems that by moving one operation up we get that surface value if we change base from e^pi/2 to e^(1/e).
That would be fine as long as hypersurfaces are 1 dimension away from hypervolumes by definition. But why did we need to change base to obtain it? On other hand, why not?

Also, see how it looks nested:

-i=h(i^-i) = e^(-i*(pi/2)) = e^ (h(i^(1/i)) * pentation (e^(1/e))) with appropriate signs (infinite operations.)

Now it seems interesting to know which exponentation operation infinitely applied gives e?

(1+1/n)^n =e ?

And which multiplication applied infintely gives 1?

What else should follow in both directions?

Ivars
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Messages In This Thread
Generalized recursive operators - by Whiteknox - 11/23/2007, 06:42 AM
RE: Generalized recursive operators - by bo198214 - 11/23/2007, 08:41 AM
RE: Generalized recursive operators - by andydude - 11/25/2007, 01:02 AM
RE: Generalized recursive operators - by andydude - 11/29/2007, 04:45 AM
RE: Generalized recursive operators - by andydude - 11/29/2007, 05:55 AM
RE: Generalized recursive operators - by andydude - 11/29/2007, 06:20 AM
RE: Generalized recursive operators - by andydude - 11/30/2007, 06:12 PM
RE: Generalized recursive operators - by andydude - 11/30/2007, 09:18 PM
RE: Generalized recursive operators - by bo198214 - 03/07/2008, 06:58 PM
RE: Generalized recursive operators - by Ivars - 02/02/2008, 10:11 PM
RE: Generalized recursive operators - by Ivars - 02/03/2008, 10:41 AM
RE: Generalized recursive operators - by andydude - 02/11/2008, 09:47 PM
RE: Generalized recursive operators - by Ivars - 02/14/2008, 06:05 PM
RE: Generalized recursive operators - by GFR - 02/03/2008, 04:12 PM
RE: Generalized recursive operators - by Ivars - 02/03/2008, 08:48 PM
RE: Generalized recursive operators - by GFR - 02/06/2008, 02:44 PM
RE: Generalized recursive operators - by Ivars - 02/06/2008, 02:56 PM
RE: Generalized recursive operators - by Ivars - 02/06/2008, 03:43 PM
RE: Generalized recursive operators - by GFR - 03/10/2008, 09:53 PM
RE: Generalized recursive operators - by GFR - 03/11/2008, 10:24 AM
RE: Generalized recursive operators - by bo198214 - 03/11/2008, 10:53 AM
RE: Generalized recursive operators - by GFR - 03/12/2008, 12:13 AM
RE: Generalized recursive operators - by GFR - 03/13/2008, 06:41 PM
RE: Generalized recursive operators - by Stan - 04/04/2011, 11:52 PM

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