• 1 Vote(s) - 5 Average
• 1
• 2
• 3
• 4
• 5
 Spiral Numbers tommy1729 Ultimate Fellow Posts: 1,372 Threads: 336 Joined: Feb 2009 02/29/2016, 10:56 PM 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. ----- Regards Tommy1729 The master « Next Oldest | Next Newest »

 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

 Possibly Related Threads... Thread Author Replies Views Last Post Fractionally dimensioned numbers marraco 3 4,302 03/01/2016, 09:45 PM Last Post: tommy1729 A new set of numbers is necessary to extend tetration to real exponents. marraco 7 10,761 03/19/2015, 10:45 PM Last Post: marraco Tommy's conjecture : every positive integer is the sum of at most 8 pentatope numbers tommy1729 0 2,392 08/17/2014, 09:01 PM Last Post: tommy1729 Number theoretic formula for hyper operators (-oo, 2] at prime numbers JmsNxn 2 4,541 07/17/2012, 02:12 AM Last Post: JmsNxn A notation for really big numbers Tai Ferret 4 7,820 02/14/2012, 10:48 PM Last Post: Tai Ferret Tetration and imaginary numbers. robo37 2 6,029 07/13/2011, 03:25 PM Last Post: robo37 Dynamic mathematics , tetration and fractal dimension of a "spiral" Ivars 0 3,267 12/15/2008, 09:18 AM Last Post: Ivars Iteration-exercises: article on Bell-numbers Gottfried 0 2,466 05/31/2008, 10:32 AM Last Post: Gottfried

Users browsing this thread: 1 Guest(s)