Results 191 to 200 of about 3,220 (237)

Benzene Metabolism Is Dominated by a High-Affinity Pathway at Ambient Exposures with Implications for Cancer Risks. [PDF]

Int J Mol Sci
Thomas R, Kim S, Lan Q, Vermeulen R, Zhang L, Rothman N, Smith MT, Rappaport SM.   +7 more
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Single rhenium atoms on nanomagnetite: Probing the recharge process that controls the fate of rhenium in the environment. [PDF]

Sci Adv
Ding R, Guida C, Pearce CI, Arenholz E, Grenèche JM, Gloter A, Scheinost AC, Kvashnina KO, Wang K, Fernandez-Martinez A, Mu Y, Rosso KM, Charlet L.   +12 more
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High-throughput single-molecule nanofluidic studies on <i>B. subtilis</i> Rok protein interaction with DNA. [PDF]

QRB Discov
Pavlova E, Kunnath RN, van Erp B, Dvirnas A, Kk S, Dame RT, Westerlund F.   +6 more
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Species delimitation within the Achnanthidium minutissimum complex (Bacillariophyta), based on morphological, molecular, and ecophysiological approaches. [PDF]

J Phycol
Dani M, Beszteri S, Castellanos AB, Schimani K, Skibbe O, Zimmermann J, Soares AR, Griesdorn L, Probst AJ, Kahlert M, Beszteri B.   +10 more
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Empirical modelling of 2205 DSS flow curves using strain-compensated Arrhenius rate-type constitutive model. [PDF]

Sci Rep
Gonya EM, Siyasiya CW, Makhatha ME.
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Linear forms in elliptic logarithms

Journal für die reine und angewandte Mathematik (Crelles Journal), 2009
One of the main challenges in the theory of linear forms in elliptic logarithms was raised by S.~Lang in 1964 [\textit{S. Lang}, ''Diophantine approximations on toruses.'' Am. J. Math. 86, 521--533 (1964; Zbl 0142.29601)]. The goal was to produce a lower bound for a linear combination of logarithms of algebraic points on an elliptic curve, with an ...
David, Sinnou, Hirata-Kohno, Noriko
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Linear Forms in Logarithms

2016
Hilbert's problems form a list of twenty-three problems in mathematics published by David Hilbert, a German mathematician, in 1900. The problems were all unsolved at the time and several of them were very influential for the 20th century mathematics. Hilbert believed it was essential for mathematicians to find new machineries and methods in order to ...
Bujačić Babić, Sanda, Filipin, Alan
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Applications of Linear Forms in Logarithms

2008
A linear form in logarithms of algebraic numbers is an expression of the form $$ \beta _1 \log \alpha _1 + \cdots + \beta _n log \alpha _n , $$ where the α’s and the β’s denote complex algebraic numbers, and log denotes any determination of the logarithm.
Yann Bugeaud, Guillaume Hanrot, Maurice Mignotte   +2 more
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Linear forms in the logarithms of algebraic numbers

Mathematika, 1966
In 1934 Gelfond [2] and Schneider [6] proved, independently, that the logarithm of an algebraic number to an algebraic base, other than 0 or 1, is either rational or transcendental and thereby solved the famous seventh problem of Hilbert. Among the many subsequent developments (cf.
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On Baker's inequality for linear forms in logarithms

Mathematical Proceedings of the Cambridge Philosophical Society, 1976
AbstractLet α1, …, αn an be non-zero algebraic numbers with degrees at most d and heights respectively Al, …, An (all Aj ≥ 4) and let b1, …, bn be rational integers with absolute values at most B (≥ 4). Denote by p a prime ideal of the field and suppose that p divides the rational prime p.
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