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Generalized arithmetic operator
#5
(03/11/2014, 10:49 PM)MphLee Wrote: These are not the "natural" (left-associative) hyperoperations family, and seems that are different from lower hyperoperations too.

Why you chose this kind of bracketing?

I'm not familiar with the difference between left- and right-associative hyperoperators. I would say that the unary version is definitely righ-associative, as


but perhaps that is not what you are referring to.

If I had to write a recursion relation along the lines of what has been posted so far, I would say it is:


which is neither left- nor right-associative, if I understand the meaning of that phrase.
The ones that have been posted so far are
,
and
.

which are very similar, with the only difference being that the [x-1] operation on the right side is flipped.

But neither of these definitions result in the same [4] operator that I have.

etc.
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Messages In This Thread
Generalized arithmetic operator - by hixidom - 03/11/2014, 03:52 AM
RE: Generalized arithmetic operator - by JmsNxn - 03/11/2014, 03:15 PM
RE: Generalized arithmetic operator - by hixidom - 03/11/2014, 06:24 PM
RE: Generalized arithmetic operator - by MphLee - 03/11/2014, 10:49 PM
RE: Generalized arithmetic operator - by hixidom - 03/11/2014, 11:20 PM
RE: Generalized arithmetic operator - by MphLee - 03/12/2014, 11:18 AM
RE: Generalized arithmetic operator - by JmsNxn - 03/12/2014, 02:59 AM
RE: Generalized arithmetic operator - by hixidom - 03/12/2014, 04:37 AM
RE: Generalized arithmetic operator - by MphLee - 03/12/2014, 06:19 PM
RE: Generalized arithmetic operator - by hixidom - 03/12/2014, 06:43 PM
RE: Generalized arithmetic operator - by hixidom - 03/22/2014, 12:06 AM
RE: Generalized arithmetic operator - by hixidom - 03/22/2014, 12:42 AM
RE: Generalized arithmetic operator - by hixidom - 06/11/2014, 05:10 PM

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