Thread Rating:
• 0 Vote(s) - 0 Average
• 1
• 2
• 3
• 4
• 5
 Generalized recursive operators Ivars Long Time Fellow Posts: 366 Threads: 26 Joined: Oct 2007 02/14/2008, 06:05 PM andydude Wrote:Ivars Wrote:=...=0,007297583=1/137,0316766 I'm not sure, it seems like no one has mentioned that this value is also the ratio between the action potentials of (electron/photon), better known as the "fine structure constant", also known as alpha. However, your sum is only accurate to 4 decimal places, which is still better than the previous approximation of 1/137, which is only accurate to 3 decimal places. Good job. Andrew Robbins Hi, Andy, Thanks. Of course I was aiming for fine structure constant, assumed everyone would notice- I live in assumptions, sometimes. I do not know how accurate are the assymptotic values You and JFox and GFR have derived. I they are accurate to enough decimal places, than this indeed is rather accurate SIMPLE symbolic approximation of fine structure constant (I mean You can always approximate any number using arbitrary values and constants,or infinite sums ) - I used only 5 terms, integer coefficients, integer powers , simple logic how they change, and the value of pentatition asymptote which must be a true mathematical constant. Perhaps this can be even written down as simple formula , just need a Symbol for the asymptote value. From my point of view, hyperoperations are exactly the place to look for alpha value. And having 5 terms in a 5-tation sum also seemed a nice fit. I would expect this formula is somehow extendable giving even better fit with either higher hyperoperations, or involving hyperoperations in formula itself, but for that there is a need to understand what does this pentation asymptote might mean, physically. Which is why I started to draw spirals, so far for me it remains unresolved issue. Ivars « Next Oldest | Next Newest »

 Messages In This Thread Generalized recursive operators - by Whiteknox - 11/23/2007, 06:42 AM RE: Generalized recursive operators - by bo198214 - 11/23/2007, 08:41 AM RE: Generalized recursive operators - by Whiteknox - 11/23/2007, 03:57 PM RE: Generalized recursive operators - by andydude - 11/25/2007, 01:02 AM RE: Generalized recursive operators - by andydude - 11/29/2007, 04:45 AM RE: Generalized recursive operators - by andydude - 11/29/2007, 05:55 AM RE: Generalized recursive operators - by andydude - 11/29/2007, 06:20 AM RE: Generalized recursive operators - by Gottfried - 11/29/2007, 08:14 AM RE: Generalized recursive operators - by andydude - 11/30/2007, 06:12 PM RE: Generalized recursive operators - by andydude - 11/30/2007, 09:18 PM RE: Generalized recursive operators - by bo198214 - 03/07/2008, 06:58 PM RE: Generalized recursive operators - by Ivars - 02/02/2008, 10:11 PM RE: Generalized recursive operators - by Whiteknox - 12/01/2007, 04:59 AM RE: Generalized recursive operators - by Ivars - 02/03/2008, 10:41 AM RE: Generalized recursive operators - by andydude - 02/11/2008, 09:47 PM RE: Generalized recursive operators - by Ivars - 02/14/2008, 06:05 PM RE: Generalized recursive operators - by GFR - 02/03/2008, 04:12 PM RE: Generalized recursive operators - by Ivars - 02/03/2008, 08:48 PM RE: Generalized recursive operators - by GFR - 02/06/2008, 02:44 PM RE: Generalized recursive operators - by Ivars - 02/06/2008, 02:56 PM RE: Generalized recursive operators - by Ivars - 02/06/2008, 03:43 PM RE: Generalized recursive operators - by GFR - 03/10/2008, 09:53 PM RE: Generalized recursive operators - by GFR - 03/11/2008, 10:24 AM RE: Generalized recursive operators - by bo198214 - 03/11/2008, 10:53 AM RE: Generalized recursive operators - by GFR - 03/12/2008, 12:13 AM RE: Generalized recursive operators - by GFR - 03/13/2008, 06:41 PM RE: Generalized recursive operators - by Stan - 04/04/2011, 11:52 PM

 Possibly Related Threads... Thread Author Replies Views Last Post Where is the proof of a generalized integral for integer heights? Chenjesu 2 1,394 03/03/2019, 08:55 AM Last Post: Chenjesu Hyper operators in computability theory JmsNxn 5 4,751 02/15/2017, 10:07 PM Last Post: MphLee Recursive formula generating bounded hyper-operators JmsNxn 0 1,723 01/17/2017, 05:10 AM Last Post: JmsNxn Rational operators (a {t} b); a,b > e solved JmsNxn 30 43,166 09/02/2016, 02:11 AM Last Post: tommy1729 holomorphic binary operators over naturals; generalized hyper operators JmsNxn 15 17,925 08/22/2016, 12:19 AM Last Post: JmsNxn The bounded analytic semiHyper-operators JmsNxn 2 3,982 05/27/2016, 04:03 AM Last Post: JmsNxn Bounded Analytic Hyper operators JmsNxn 25 22,551 04/01/2015, 06:09 PM Last Post: MphLee Generalized arithmetic operator hixidom 16 14,743 06/11/2014, 05:10 PM Last Post: hixidom Incredible reduction for Hyper operators JmsNxn 0 2,464 02/13/2014, 06:20 PM Last Post: JmsNxn Generalized Bieberbach conjectures ? tommy1729 0 1,884 08/12/2013, 08:11 PM Last Post: tommy1729

Users browsing this thread: 1 Guest(s)