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Combining response surface methodology and measurement system analysis to identify melt flow index of hygrothermal-sensitive composites. [PDF]

Sci Rep
Su N, Liu X, Chen X, Gu J, Bai J.
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Fermi's Golden Rule Rate Expression for Transitions Due to Nonadiabatic Derivative Couplings in the Adiabatic Basis. [PDF]

J Chem Theory Comput
Jang SJ, Min BK, Rhee YM.
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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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The Hilbert polynomial and linear forms in the logarithms of algebraic numbers

Izvestiya: Mathematics, 2008
We prove a new estimate for homogeneous linear forms with integer coefficients in the logarithms of algebraic numbers. We obtain a qualitative improvement of the estimate depending on the coefficients of the linear form and the best value of the constant in the estimate in the case when the number of logarithms is not too large.
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Linear forms in the logarithms of algebraic numbers (II)

Mathematika, 1967
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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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