In mathematics, the Prouhet–Thue–Morse constant, named for Eugène Prouhet [fr], Axel Thue, and Marston Morse, is the number—denoted by τ—whose binary expansion...
5 KB (603 words) - 14:47, 27 November 2024
In mathematics, the Thue–Morse or Prouhet–Thue–Morse sequence is the binary sequence (an infinite sequence of 0s and 1s) that can be obtained by starting...
31 KB (3,872 words) - 00:57, 20 June 2025
as a fallback Thue's lemma – Representation of modular integers by "small" fractions Semi-Thue system – String rewriting system Thue–Morse sequence – Infinite...
3 KB (246 words) - 13:11, 24 May 2025
{1}{q}}\right)^{-1}-2.} This constant is transcendental. Euler-Mascheroni constant Fibonacci word Golay–Rudin–Shapiro sequence Prouhet–Thue–Morse constant Komornik, Vilmos;...
3 KB (519 words) - 04:02, 27 June 2025
geometry (although the Latin letter T is used more often) The Prouhet–Thue–Morse constant Proper time in relativity Shear stress in continuum mechanics...
15 KB (1,643 words) - 16:17, 26 June 2025
Sturmian word. The Prouhet–Thue–Morse constant and the related rabbit constant. The Komornik–Loreti constant. The paperfolding constant (also named as "Gaussian...
52 KB (6,818 words) - 21:52, 1 July 2025
Yann; Queffélec, Martine (2013). "On Rational Approximation of the Binary Thue-Morse-Mahler Number". Journal of Integer Sequences. 16 (13.2.3). Cuyt et al...
97 KB (3,567 words) - 15:15, 27 June 2025
compute. Bloch's constant (also 2nd Landau's constant): 0.4332 < B < 0.4719 1st Landau's constant: 0.5 < L < 0.5433 3rd Landau's constant: 0.5 < A ≤ 0.7853...
58 KB (3,970 words) - 13:18, 1 July 2025
continued fraction Kronecker's theorem Thue–Siegel–Roth theorem Prouhet–Thue–Morse constant Gelfond–Schneider constant Equidistribution mod 1 Beatty's theorem...
10 KB (937 words) - 18:05, 24 June 2025
Irrationality measure (category Mathematical constants)
ISSN 0022-314X. Bugeaud, Yann (2011). "On the rational approximation to the Thue–Morse–Mahler numbers". Annales de l'Institut Fourier. 61 (5): 2065–2076. doi:10...
34 KB (4,689 words) - 14:09, 30 June 2025
the geometry of numbers. Mahler proved that the Prouhet–Thue–Morse constant and the Champernowne constant 0.1234567891011121314151617181920... are transcendental...
7 KB (562 words) - 11:39, 14 May 2025
proves his completeness theorem. Kurt Mahler shows that the Prouhet–Thue–Morse constant is a transcendental number. Dimitrie Pompeiu poses the Pompeiu...
16 KB (1,699 words) - 23:47, 2 November 2024
positions of the zero values in the Thue–Morse sequence, and for this reason they have also been called the Thue–Morse set. Non-negative integers that are...
3 KB (326 words) - 11:08, 24 June 2025
Orbit portrait Periodic points of complex quadratic mappings Prouhet-Thue-Morse constant Carathéodory's theorem Field lines of Julia sets J. Kiwi : Rational...
24 KB (2,672 words) - 08:54, 3 April 2025
the Thue–Morse sequence, or Thue–Morse word. Thue wrote two papers on square-free words, the second of which was on the Thue–Morse word. Marston Morse is...
20 KB (2,588 words) - 12:32, 13 February 2025
where there are only two variables). L-systems on the real line R: Prouhet-Thue-Morse system Well-known L-systems on a plane R2 are: space-filling curves...
36 KB (4,687 words) - 06:39, 25 June 2025
Gray codes for the factorial number system Minimum distance code Prouhet–Thue–Morse sequence – related to inverse Gray code Ryser formula Hilbert curve...
181 KB (15,921 words) - 08:28, 24 June 2025