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Thermodynamics à la Souriau on Kähler Non-Compact Symmetric Spaces for Cartan Neural Networks. [PDF]
Fré PG, Sorin AS, Trigiante M.
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C‑Nucleosides Stabilize RNA by Reducing Nucleophilicity at 2'-OH. [PDF]
Banerjee D +5 more
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Utilizing machine learning in predicting yields of products in biomass thermochemical conversion processes. [PDF]
Hamad KH, Hanafy M, Wafiq A.
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A softness zwitterionic micelles efficiently deliver inhaled nintedanib by enhancing airway mucus penetration. [PDF]
Wang B +6 more
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Linear forms in the logarithms of algebraic numbers
Lecture Notes in Mathematics, 1993This chapter is of an auxiliary nature, being mainly concerned with the relationship between bounds for linear forms in the logarithms of algebraic numbers in different (archimedean and non-archimedean) metrics. This material will later be used in the analysis of Thue and Thue-Mahler equations.
Vladimir G Sprindzuk
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Linear forms in the logarithms of algebraic numbers
Mathematika, 1966In 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, 2008We 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.
O Yu Aristov +2 more
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