Results 131 to 140 of about 1,866,320 (298)
Some identities of G-continued fractions and generalized continued fractions
Generalized continued fractions and \(G\)-continued fractions are two different types of generalizations of continued fractions, the first one due to M. G. de Bruin, the second one introduced by P. Levrie and R. Piessens. Both types are related to higher order linear recurrence relations (whereas the ordinary ones are related to second order relations).
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On some New Identities for Ramanujan'scubic Continued Fraction [PDF]
In this paper, we establish some new modular relations connecting Ramanujan's cubic continued fraction V (q) with V (qn), for n = 4, 6, 8,10, 12, 14, 16 and ...
Sushan Bairy, K. +2 more
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ADP‐ribosylation: An emerging regulator of the epigenome
ADP‐ribosylation has emerged as a dynamic epigenetic signaling mechanism that modifies histones and chromatin‐associated proteins. Through coordinated PARylation and MARylation, it integrates with other histone modifications to regulate chromatin structure, transcription factor activity, and gene expression, influencing genome function and disease ...
Cristel V. Camacho +2 more
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Continued Fractions and Factoring
Legendre found that the continued fraction expansion of $\sqrt N$ having odd period leads directly to an explicit representation of $N$ as the sum of two squares. Similarly, it is shown here that the continued fraction expansion of $\sqrt N$ having even period directly produces a factor of a composite $N$.
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On the relationship between generalised continued fractions and G-continued fractions
Generalised continued fractions, or n-fractions, were used by \textit{M. G. de Bruin} [Generalized continued fractions and a multidimensional Padé table, Thesis (Amsterdam, 1974; Zbl 0273.41028)] in the study of simultaneous rational approximation of functions using rational functions with a common denominator.
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Cílem této práce je seznámit s úvodem do teorie řetězových zlomků. Je zde definovaný konečný a nekonečný řetězový zlomek. Dále je definovaný částečný zlomek a jeho vlastnosti. Uvedena jsou taktéž kritéria konvergence řetězových zlomků. Dále rozvoj funkcí
Drda, Patrik
core
The paper considers the problem of approximating Lauricella--Saran's hypergeometric func\-tions $F_K$ in special cases by bran\-ched continued fractions as a special family of functions.
R. Dmytryshyn, V. Goran
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Arginine methylation can be viewed as a persistence‐prone post‐translational modification regulated by a network of PRMTs. Competitive and compensatory interactions among PRMTs can redistribute methylation across substrate pools shaped by sequence, structural, spatial, and environmental layers, reinforcing RNA‐processing, chromatin, and signaling ...
So Hyun Kwon, Ji Min Lee
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On a problem of Lazar on unit fractions
In this paper we partly solve an open problem proposed by Lazar in 2003.
Lu Jian, Li Mao, Qiu Min
doaj
Abruptly changing from aerobic to anaerobic conditions (sudden anaerobization) induced growth inhibition and a significant increase in intracellular labile ferrous iron in the aerotolerant anaerobe Amphibacillus xylanus. We found that free flavins mediate efficient electron transfer from NADH to ferric iron under anaerobic conditions, suggesting that ...
Shinya Kimata +13 more
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