In transcendental number theory, a mathematical discipline, Baker's theorem gives a lower bound for the absolute value of linear combinations of logarithms...
21 KB (3,411 words) - 00:01, 28 April 2024
more general statement in 1885. The theorem, along with the Gelfond–Schneider theorem, is extended by Baker's theorem, and all of these would be further...
28 KB (4,824 words) - 14:31, 15 September 2024
} The Gelfond–Schneider theorem answers affirmatively Hilbert's seventh problem. Lindemann–Weierstrass theorem Baker's theorem; an extension of the result...
6 KB (676 words) - 03:57, 8 September 2024
theorem then follows by setting βij = 0 for every i and j, while the five exponentials theorem follows by setting x3 = γ/x1 and using Baker's theorem...
14 KB (1,956 words) - 14:44, 4 September 2024
Diophantine approximation (redirect from Lagrange's approximation theorem)
number of solutions of such equations. Nevertheless, a refinement of Baker's theorem by Feldman provides an effective bound: if x is an algebraic number...
30 KB (4,062 words) - 00:16, 17 September 2024
independent, a strengthening of Baker's theorem. The Gelfond–Schneider theorem follows from this strengthened version of Baker's theorem, as does the currently...
10 KB (1,170 words) - 10:43, 2 October 2024
analytic subgroup theorem is a significant result in modern transcendental number theory. It may be seen as a generalisation of Baker's theorem on linear forms...
4 KB (429 words) - 00:39, 16 November 2022
metric spaces) Baker's theorem (number theory) Balian–Low theorem (Fourier analysis) Balinski's theorem (combinatorics) Banach–Alaoglu theorem (functional...
73 KB (6,015 words) - 12:17, 2 August 2024
studied by Gelfond and then solved by Alan Baker. It is called the Gelfond conjecture or Baker's theorem. Baker was awarded a Fields Medal in 1970 for this...
3 KB (340 words) - 08:14, 7 June 2024
exponential topics. Acoustic power Antilogarithm Apparent magnitude Baker's theorem Bel Benford's law Binary logarithm Bode plot Henry Briggs Bygrave slide...
3 KB (230 words) - 13:14, 17 December 2022