Results 71 to 80 of about 1,866,320 (298)
Diophantine approximations and almost periodic functions
Demonstratio Mathematica, 2017 In this paper we investigate the asymptotic behaviour of the classical continuous and unbounded almost periodic function in the Lebesgue measure.Using diophantine approximations we show that this function can be estimated by functions of polynomial type ...
Nawrocki Adam
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FEBS Letters, EarlyView.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
wiley +1 more source
Continued Fractions and Series
Journal of Number Theory, 1995 Generally it is difficult to compute the simple continued fraction expansion for a real irrational number which is defined by some other expression. But there are some known results on infinite series of rational numbers of rather peculiar type whose sequence of partial denominators in their continued fraction shows a definite pattern, being periodic ...
Clemens, L.E. +2 more
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On numerical stability of continued fractions
Математичні СтудіїThe paper considers the numerical stability of the backward recurrence algorithm (BR-algorithm) for computing approximants of the continued fraction with complex elements.
V. Hladun +3 more
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Modelling stem cell differentiation related processes—A practical overview for biologists
FEBS Letters, EarlyView.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
wiley +1 more source
Exponential and Continued Fractions
Journal of Number Theory, 1996 In this nice paper the author studies the continued fraction expansion of the analogues of \({{ae^{2/n}+b} \over {ce^{2/n}+d}}\) in function fields: as usual \(\mathbb{Z}\) is replaced by \(\mathbb{F}_q[x]\), where \(\mathbb{F}_q\) is the field with \(q\) elements, \(\mathbb{Q}\) is replaced by \(\mathbb{F}_q(x)\) and \(\mathbb{R}\) by \(\mathbb{F}_q ...
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Design and analysis strategies for robust microbiome ageing research
FEBS Letters, EarlyView.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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Continued Fractions and Catalan Problems [PDF]
The Electronic Journal of Combinatorics, 2000 We find a generating function expressed as a continued fraction that enumerates ordered trees by the number of vertices at different levels. Several Catalan problems are mapped to an ordered-tree problem and their generating functions also expressed as a continued fraction.
Mahendra Jani, Robert G. Rieper
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Certain new modular identities for Ramanujan's cubic continued fraction. [PDF]
, 2012 In this paper, first we establish some new relations for ratios of Ramanujan’s theta functions. We establish some new general formulas for explicit evaluations of Ramanujan’s theta functions.
Chandankumar, S. +2 more
core
The Continued Fraction Structure in Physical Fractal Theory
Fractal and FractionalThe objective of this study is to reveal the intrinsic connection between fractal operators in physical fractal spaces and continued fractions. The specific contributions include: (1) reviewing fundamental concepts of continued fractions and physical ...
Ruiheng Jiang, Tianyi Zhou, Yajun Yin
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