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Here is a pic showing An operator / function between addition and product.

It maps N x N to N.

It is commutative and associative.

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Tommy1729

Posts: 1,491

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(0,n) -> 0

(1,n) -> n

Since that is trivial , it is not written in the picture.

So the table starts at 2.

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Tommy1729

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Posts: 1,491

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My apologies for the delay.

I have been thinking about this rather than writing.

I would like to know more before i say more.

Its all very new.

But i can say this is about hyperoperators and a half iterate of 2^(z+1).

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Tommy1729

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07/10/2016, 07:32 AM
(This post was last modified: 07/10/2016, 07:33 AM by Gottfried.)
The rowwise second order differences are not monotonously increasing. So what is this about?

Gottfried Helms, Kassel