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Spiral Numbers
#3
One of the most intresting ways to continue is this

Z1,z2 are complex.
R1,r2 are real.

(Z1,r1) + (z2,r2) = (z1 + z2,[r1 + r2]\2).

This way we have commutative and associative Sum and product.
Also we have the distributive property , no zero-divisors and algebraic closure.

There exist other ways to define the Sum in a Nice way , but now we have the complex Numbers as a subset ( r1 = r2 = 0 ).

-----

One alternative is

(Z1,r1) + (z2,r2) = (z1 + z2,ln(exp(r1) + exp(r2))).
This is also distributive !

The connection to hyperoper is clear now.

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Regards

Tommy1729
The master
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Messages In This Thread
Spiral Numbers - by tommy1729 - 11/19/2015, 10:20 PM
RE: Spiral Numbers - by tommy1729 - 11/20/2015, 01:13 PM
RE: Spiral Numbers - by tommy1729 - 02/29/2016, 10:56 PM
RE: Spiral Numbers - by tommy1729 - 02/29/2016, 11:12 PM
RE: Spiral Numbers - by marraco - 03/01/2016, 12:38 AM
RE: Spiral Numbers - by Gottfried - 03/01/2016, 12:30 PM
RE: Spiral Numbers - by tommy1729 - 03/01/2016, 01:27 PM
RE: Spiral Numbers - by Gottfried - 03/01/2016, 04:16 PM
RE: Spiral Numbers - by tommy1729 - 03/01/2016, 09:53 PM
RE: Spiral Numbers - by tommy1729 - 03/01/2016, 10:15 PM

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