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Zeration
#71
(03/23/2015, 01:39 PM)marraco Wrote:
(03/21/2015, 11:11 PM)tommy1729 Wrote: a*b = b*a

"add+b"^[a-1](1*b) = "add+a"^[b-1](1*a)
That would mean
b*(a-1)=a*(b-1)

but if "-" is an inverse operator of [q], such that x-y is defined as x-y=x[q]-y, and -y is defined as y[q]-y=N(q,y) then

for [q]=product, "-" would be division, so
Ure misunderstanding the expression

In fact Tommy tryes to replace g and f with "add_b" and "add_1" and the interpretation becomes the following

Quote:General case

- Case q=1 with , and






- Case q=2 with , , and







- Case q=0 with and , but in this case how we get the following






Quote:-∞ is used on all the basic operations:

the neutral of addition is ÷∞=1/∞=0
the neutral of product is ∞√=∞√n=n^÷∞=1
the neutral of exponentiation is

from product viewpoint, all numbers smaller than 0 are transfinite.
from exponentiation of n viewpoint, all numbers smaller than 1 are transfinite.
from tetration of n viewpoint, all numbers smaller than are transfinite.
Agree with this last point...
It really deserves some attention imho.
MathStackExchange account:MphLee
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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
More on Zeration - by James Knight - 03/25/2008, 03:44 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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