Read More
Date: 7-10-2020
590
Date: 8-2-2020
528
Date: 11-8-2020
954
|
Quinn et al. (2007) investigated a class of coupled oscillators whose bifurcation phase offset had a conjectured asymptotic behavior of , with an experimental estimate for the constant as (OEIS A131329). Rather amazingly, Bailey et al. (2007) were able to find a closed form for as the unique root of in the interval , where is a Hurwitz zeta function.
A related constant conjectured by Quinn et al. (2007) to exist was defined in terms of
(1) |
and given by
(2) |
(OEIS A131330). Even more amazingly, the exact value of this constant was also found by Bailey et al. (2007) without full proof, but with enough to indicate that such a proof could in principle be constructed, to have the exact value
(3) |
REFERENCES:
Bailey, D. H.; Borwein, J. M.; and Crandall, R. E. "Resolution of the Quinn-Rand-Strogatz Constant of Nonlinear Physics." Preprint. June 4, 2007. https://users.cs.dal.ca/~jborwein/QRS.pdf.
Quinn, D. ; Rand, R.; and Strogatz, S. "Singular Unlocking Transition in the Winfree Model of Coupled Oscillators." Phys. Rev. E 75, 036218-1-10, 2007.
Sloane, N. J. A. Sequences A131329 and A131330 in "The On-Line Encyclopedia of Integer Sequences."
|
|
كيف تساهم الأطعمة فائقة المعالجة في تفاقم مرض يصيب الأمعاء؟
|
|
|
|
|
مشروع ضخم لإنتاج الهيدروجين الأخضر يواجه تأخيرًا جديدًا
|
|
|
|
|
بالفيديو: خلال افتتاح مركز الزهراء (ع) للطفل القرآني.. ممثل المرجعية العليا لـ(الموقع الرسمي): هذه المراكز تهتم وتعتني بالاطفال وفقا للتربية والدروس القرآنية والاخلاق والعقائد
|
|
|