https://ogma.newcastle.edu.au/vital/access/ /manager/Index ${session.getAttribute("locale")} 5 Neverending fractions: an introduction to continued fractions https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:17585 Wed 17 Jun 2015 08:22:10 AEST ]]> Dynamics of a continued fraction of Ramanujan with random coefficients https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:12979 Wed 11 Apr 2018 11:06:53 AEST ]]> On the Khintchine constant https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:13500 Wed 11 Apr 2018 09:19:32 AEST ]]> Learning to Extrapolate Using Continued Fractions: Predicting the Critical Temperature of Superconductor Materials https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:54429 Tue 27 Feb 2024 14:00:08 AEDT ]]> Mahler takes a regular view of Zaremba https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:47643 Tue 24 Jan 2023 14:45:00 AEDT ]]> Dynamics of a Ramanujan-type continued fraction with cyclic coefficients https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:12941 Sat 24 Mar 2018 08:17:40 AEDT ]]> On the Ramanujan AGM fraction, II : the complex-parameter case https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:13087 η (a,b) + Rη(b, a) = 2Rη ((a + b)/2, √ab). Alas, for some parameters the continued fraction Rη does not converge; moreover, there are converging instances where the AGM relation itself does not hold. To unravel these dilemmas we herein establish convergence theorems, the central result being that R1 converges whenever |a| ≠|b|. Such analysis leads naturally to the conjecture that divergence occurs whenever a = beiϕ with cos2ϕ ≠ 1 (which conjecture has been proven in a separate work) [Borwein et al. 04b.] We further conjecture that for a/b lying in a certain—and rather picturesque—complex domain, we have both convergence and the truth of the AGM relation.]]> Sat 24 Mar 2018 08:15:36 AEDT ]]> On the Ramanujan AGM fraction. Part I: the real-parameter case https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:6480 Sat 24 Mar 2018 07:47:13 AEDT ]]> Continued logarithms and associated continued fractions https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:32609 Mon 25 Jun 2018 12:57:26 AEST ]]> A Memetic Algorithm for Symbolic Regression https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:42779 Fri 02 Sep 2022 14:18:56 AEST ]]>