Results 41 to 50 of about 291,339 (267)
Asymmetric circular graph with Hosoya index and negative continued fractions
Karpatsʹkì Matematičnì Publìkacìï, 2021 It has been known that the Hosoya index of caterpillar graph can be calculated as the numerator of the simple continued fraction. Recently in [MATCH Commun. Math. Comput. Chem.
T. Komatsu
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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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Reciprocal control of viral infection and phosphoinositide dynamics
FEBS Letters, EarlyView.Phosphoinositides, although scarce, regulate key cellular processes, including membrane dynamics and signaling. Viruses exploit these lipids to support their entry, replication, assembly, and egress. The central role of phosphoinositides in infection highlights phosphoinositide metabolism as a promising antiviral target.
Marie Déborah Bancilhon, Bruno Mesmin
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FEBS Letters, EarlyView.Fluorescent probes allow dynamic visualization of phosphoinositides in living cells (left), whereas mass spectrometry provides high‐sensitivity, isomer‐resolved quantitation (right). Their synergistic use captures complementary aspects of lipid signaling. This review illustrates how these approaches reveal the spatiotemporal regulation and quantitative
Hiroaki Kajiho +3 more
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Continued-Fraction Expansion of Transport Coefficients with Fractional Calculus
Mathematics, 2016 The main objective of this paper is to generalize the Extended Irreversible Thermodynamics in order to include the anomalous transport in systems in non-equilibrium conditions.
Abel Garcia-Bernabé +3 more
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On the Degree Distribution of Haros Graphs
Mathematics, 2022 Haros graphs are a graph-theoretical representation of real numbers in the unit interval. The degree distribution of the Haros graphs provides information regarding the topological structure and the associated real number.
Jorge Calero-Sanz
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Nearness of continued fractions.
MATHEMATICA SCANDINAVICA, 1987 Let \(K(a_ n/b_ n)\) and K(ã\({}_ n/\tilde b_ n)\) be two continued fractions, and assume that K(ã\({}_ n/\tilde b_ n)\) converges to a value \~f\(\in {\mathbb{C}}\) (or that the modified approximants \~S\({}_ n(w_ n)\) of K(ã\({}_ n/\tilde b_ n)\) converge to a value \~F\(\in {\mathbb{C}})\).
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Continued fractions and the Thomson Problem
Scientific Reports, 2022 Abstract We introduce new analytical approximations of the minimum electrostatic energy configuration of n electrons, E(n), when they are constrained to be on the surface of a unit sphere. Using 454 putative optimal configurations we searched for approximations of the form E(n) = (n2/2) e g(n) where g(n) was obtained via a memetic algorithm ...
Moscato, Pablo +2 more
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Phosphatidylinositol 4‐kinase as a target of pathogens—friend or foe?
FEBS Letters, EarlyView.This graphical summary illustrates the roles of phosphatidylinositol 4‐kinases (PI4Ks). PI4Ks regulate key cellular processes and can be hijacked by pathogens, such as viruses, bacteria and parasites, to support their intracellular replication. Their dual role as essential host enzymes and pathogen cofactors makes them promising drug targets.
Ana C. Mendes +3 more
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A Gauss-Kuzmin-Lévy theorem for a certain continued fraction
International Journal of Mathematics and Mathematical Sciences, 2004 We consider an interval map which is a generalization of the well-known Gauss transformation. In particular, we prove a result concerning the asymptotic behavior of the distribution functions of this map.
Hei-Chi Chan
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