Results 91 to 100 of about 1,866,320 (298)
Certain identities for a continued fraction of Ramanujan.
, 2014 Ramanujan has recorded several continued fractions in his notebooks. In this paper, we establish several identities of a continued fraction of Ramanujan $V(q)$.
Sushan Bairy, K. +2 more
core
Curious Continued Fractions, Nonlinear Recurrences and Transcendental Numbers [PDF]
, 2015 We consider a family of integer sequences generated by nonlinear recurrences of the second order, which have the curious property that the terms of the sequence, and integer multiples of the ratios of successive terms (which are also integers), appear ...
Hone, Andrew N.W.
core
Prime numbers in typical continued fraction expansions. [PDF]
Boll Unione Mat Ital (2008), 2023 Schindler TI, Zweimüller R.
europepmc +1 more source
Prospecting the protein design landscape
FEBS Letters, EarlyView.This review outlines the current state of various protein design approaches. We discuss the current possibilities enabled by recently released tools, highlight future avenues to pursue in protein design, and underscore the crucial role of key databases and resources for successful protein design workflows.
Jakob R. Riccabona +4 more
wiley +1 more source
Dynamics of a continued fraction of Ramanujan with random coefficients
Abstract and Applied Analysis, 2005 We study a generalization of a continued fraction of Ramanujan with random, complex-valued coefficients. A study of the continued fraction is equivalent to an analysis of the convergence of certain stochastic difference equations and the stability of ...
Jonathan M. Borwein, D. Russell Luke
doaj +1 more source
Continued fraction expansions of Herglotz-Nevanlinna functions and generalized indefinite strings of Stieltjes type. [PDF]
Bull Lond Math Soc, 2022 Eckhardt J.
europepmc +1 more source
Artificial molecular machines and motors—Design and control of nanoscale motion
FEBS Letters, EarlyView.Molecules are constantly moving because of thermal fluctuations, but random motion alone cannot be exploited to perform directional tasks. Artificial molecular machines use chemical, electrical, or light energy to bias this motion. Molecular shuttles, rotary motors, and supramolecular pumps illustrate how nanoscale movement can be controlled and ...
Leonardo Andreoni, Alberto Credi
wiley +1 more source
The random continued fraction transformation [PDF]
, 2016 We introduce a random dynamical system related to continued fraction expansions. It uses random combination of the Gauss map and the R\'enyi (or backwards) continued fraction map.
Kempton, Thomas Michael William +2 more
core +2 more sources
On the metrical theory of a non-regular continued fraction expansion
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2015 We introduced a new continued fraction expansions in our previous paper. For these expansions, we show the Brodén-Borel-Lévy type formula. Furthermore, we compute the transition probability function from this and the symbolic dynamical system of the ...
Lascu Dan, Cîrlig George
doaj +1 more source
A context‐dependent modulatory role for eIF6 in acquired resistance to vemurafenib in melanoma
FEBS Letters, EarlyView.Acquired resistance to vemurafenib upregulates the translation factor eIF6 in melanoma cells. Silencing eIF6 in resistant cells reduces proliferation and partially restores drug sensitivity, whereas its overexpression increases sensitivity across melanoma lines regardless of BRAF status, via modulation of mTOR, S6K, and MAPK signaling.
George Kyriakopoulos +9 more
wiley +1 more source