Zeration

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Zeration

marraco $Offline$
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Posts: 100
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Joined: Apr 2011

#64

03/21/2015, 04:10 AM (This post was last modified: 03/21/2015, 04:18 AM by marraco.)

(03/21/2015, 01:44 AM)marraco Wrote: the natural zeration would be
$a \,\circ_{\small{0}}^{\small{e}}\, b$
or
$a \,\circ_{\small{0}}^{\small{2}}\, b$

If we take this definition for zeration, then this may be a link between zeration and tetration. If we represent iterated zeration symbol this way:

$(\circ_{\small{0}}^{\small{a}})^n1 \,=\, \circ_{\small{n}}\circ_{\small{n-1}}...\circ_{\small{1}} 1$

then
$(\circ_{\small{0}}^{\small{a}})^n1 \,=\,\circ^n\,1 \,=\, ^{-n}a$

which is valid if tetration to negative integer exponents is taken as
$^{-n}a \,=\, ln_{a_n}(ln_{a_{n-1}}(ln_{a_{n-2}}(...ln_{a_0}(1=e^{i2m\pi})...))))$

as explained here
http://math.eretrandre.org/tetrationforu...66#pid7666

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Messages In This Thread

Zeration - by GFR - 02/14/2008, 06:38 PM

RE: Zeration - by Ivars - 02/14/2008, 08:10 PM

RE: Zeration - by GFR - 02/14/2008, 10:41 PM

RE: Zeration - by mathamateur - 07/30/2009, 06:31 AM

RE: Zeration - by Ivars - 02/21/2008, 07:22 PM

RE: Zeration - by quickfur - 02/21/2008, 09:34 PM

RE: Zeration - by bo198214 - 02/21/2008, 10:18 PM

RE: Zeration - by bo198214 - 02/21/2008, 10:25 PM

RE: Zeration - by quickfur - 02/21/2008, 11:04 PM

RE: Zeration - by quickfur - 02/21/2008, 11:12 PM

RE: Zeration - by KAR - 02/21/2008, 11:04 PM

RE: Zeration - by quickfur - 02/21/2008, 11:52 PM

RE: Zeration - by GFR - 02/24/2008, 12:39 AM

RE: Zeration - by Ivars - 02/24/2008, 02:50 PM

RE: Zeration - by marraco - 03/20/2015, 09:59 PM

RE: Zeration - by bo198214 - 02/24/2008, 11:02 AM

RE: Zeration - by GFR - 03/19/2008, 12:40 PM

Zeration - My Research / Investigation - by James Knight - 03/25/2008, 08:28 AM

RE: Zeration - My Research / Investigation - by bo198214 - 03/25/2008, 09:09 AM

More on Zeration - by James Knight - 03/25/2008, 03:44 PM

Exponential Laws - New Zeration Law - by James Knight - 03/25/2008, 07:48 PM

Delta Numbers As HyperReals - by James Knight - 03/26/2008, 12:50 AM

RE: Delta Numbers As HyperReals - by Ivars - 03/26/2008, 12:15 PM

RE: Zeration - by GFR - 03/26/2008, 12:22 AM

RE: Zeration - by GFR - 04/05/2008, 08:58 PM

RE: Zeration - by Igor M - 01/14/2009, 04:04 PM

RE: Zeration - by bo198214 - 01/20/2009, 09:59 PM

RE: Zeration - by 73939 - 07/05/2010, 12:00 AM

RE: Zeration - by bo198214 - 07/05/2010, 07:37 AM

RE: Zeration - by brangelito - 07/20/2010, 05:51 PM

RE: Zeration - by bo198214 - 07/21/2010, 02:58 AM

RE: Zeration - by JmsNxn - 11/09/2011, 01:40 AM

RE: Zeration - by quickfur - 11/09/2011, 04:15 AM

RE: Zeration - by JmsNxn - 11/10/2011, 01:20 AM

RE: Zeration - by quickfur - 11/10/2011, 02:09 AM

RE: Zeration - by marraco - 03/20/2015, 09:44 AM

RE: Zeration - by marraco - 03/20/2015, 10:41 PM

RE: Zeration - by marraco - 03/21/2015, 12:35 AM

RE: Zeration - by marraco - 03/21/2015, 01:44 AM

RE: Zeration - by marraco - 03/21/2015, 04:10 AM

RE: Zeration - by MphLee - 03/21/2015, 11:53 AM

RE: Zeration - by marraco - 03/23/2015, 07:58 AM

RE: Zeration - by tommy1729 - 03/21/2015, 11:11 PM

RE: Zeration - by marraco - 03/23/2015, 08:05 AM

RE: Zeration - by marraco - 03/24/2015, 11:29 AM

RE: Zeration - by MphLee - 03/23/2015, 09:00 AM

RE: Zeration - by marraco - 03/23/2015, 01:39 PM

RE: Zeration - by MphLee - 03/23/2015, 02:31 PM

RE: Zeration - by Stanislav - 05/28/2015, 11:12 PM

RE: Zeration - by marraco - 05/29/2015, 01:33 AM

RE: Zeration - by Stanislav - 05/29/2015, 09:06 PM

RE: Zeration - by MphLee - 06/03/2015, 01:40 PM

RE: Zeration - by Stanislav - 06/04/2015, 06:44 AM

RE: Zeration - by marraco - 06/04/2015, 08:44 PM

RE: Zeration - by MphLee - 06/05/2015, 09:10 PM

RE: Zeration - by Stanislav - 09/09/2015, 10:04 PM

RE: Zeration - by Stanislav - 10/31/2016, 02:57 PM

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