Results 41 to 50 of about 795 (255)
A multifractal analysis for Stern-Brocot intervals, continued fractions and Diophantine growth rates
In this paper we obtain multifractal generalizations of classical results by Levy and Khintchin in metrical Diophantine approximations and measure theory of continued fractions.
Kesseboehmer, M, Stratmann, Bernd O
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ABSTRACT Introduction Peritoneal dialysis (PD) is an established home‐based kidney replacement therapy (KRT), but its uptake remains low in Japan. We evaluated whether individualized education in a dedicated outpatient clinic was associated with the initiation of PD.
Yasuko Ito +7 more
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Continued fractions, statistics, and generalized patterns
Recently, Babson and Steingrimsson (see \cite{BS}) introduced generalized permutations patterns that allow the requirement that two adjacent letters in a pattern must be adjacent in the permutation. Following \cite{BCS}, let $e_kπ$ (respectively; $f_kπ$) be the number of the occurrences of the generalized pattern $12\mn3\mn...\mn k$ (respectively; $21 ...
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This study reveals that the small GTPase Rab14 is necessary for human papillomavirus (HPV) infection and plays an essential role in the transport of virions to the trans‐Golgi network (TGN). HPV in the early endosome (EE), which harbors GTP‐bound Rab14, is transported to the TGN through the switch of Rab14 from its GTP‐bound to GDP‐bound form.
Yoshiyuki Ishii, Iwao Kukimoto
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Quasiperiodic and Lyndon episturmian words [PDF]
Recently the second two authors characterized quasiperiodic Sturmian words, proving that a Sturmian word is non-quasiperiodic if and only if, it is an infinite Lyndon word.
Amy Glen +8 more
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Modelling stem cell differentiation related processes—A practical overview for biologists
Stem cell differentiation is complex and difficult to control experimentally. This review introduces suitable computational modelling approaches that can support stem cell research, from mechanistic ODE and abstract models to multiscale and deep learning methods.
Ricco Zeegelaar +4 more
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New generalization of continued fraction, I
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On generalization of continued fraction of Gauss [PDF]
In this paper we establish a continued fraction represetation for the ratio qf two basic bilateral hypergeometric series 2ψ2′s which generalize Gauss′ continued fraction for the ratio of two 2F1′s.
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Design and analysis strategies for robust microbiome ageing research
The gut microbiome changes with age and associates with age‐related morbidity and mortality, establishing it as a potential biomarker and intervention target for ageing. Realising this potential requires methodological rigour, yet distinguishing biological signals from methodological artefacts remains challenging across cohorts. This review provides an
Mark Olenik +5 more
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On periodicity of geodesic continued fractions: a precis (Algebraic Number Theory and Related Topics 2016) [PDF]
"Algebraic Number Theory and Related Topics 2016". November 28 - December 2, 2016. edited by Yasuo Ohno, Hiroshi Tsunogai and Toshiro Hiranouchi. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed.This article ...
Bekki, Hohto
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