• In mathematics, the ProuhetThueMorse 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 ThueMorse or ProuhetThueMorse 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
  • Thumbnail for Axel Thue
    as a fallback Thue's lemma – Representation of modular integers by "small" fractions Semi-Thue system – String rewriting system ThueMorse 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 ProuhetThueMorse constant Komornik, Vilmos;...
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  • geometry (although the Latin letter T is used more often) The ProuhetThueMorse constant Proper time in relativity Shear stress in continuum mechanics...
    15 KB (1,643 words) - 16:17, 26 June 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
  • Sturmian word. The ProuhetThueMorse constant and the related rabbit constant. The Komornik–Loreti constant. The paperfolding constant (also named as "Gaussian...
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  • continued fraction Kronecker's theorem Thue–Siegel–Roth theorem ProuhetThueMorse constant Gelfond–Schneider constant Equidistribution mod 1 Beatty's theorem...
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  • Thumbnail for Irrationality measure
    Irrationality measure (category Mathematical constants)
    ISSN 0022-314X. Bugeaud, Yann (2011). "On the rational approximation to the ThueMorse–Mahler numbers". Annales de l'Institut Fourier. 61 (5): 2065–2076. doi:10...
    34 KB (4,689 words) - 14:09, 30 June 2025
  • proves his completeness theorem. Kurt Mahler shows that the ProuhetThueMorse 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 ThueMorse sequence, and for this reason they have also been called the ThueMorse set. Non-negative integers that are...
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  • Thumbnail for Kurt Mahler
    the geometry of numbers. Mahler proved that the ProuhetThueMorse constant and the Champernowne constant 0.1234567891011121314151617181920... are transcendental...
    7 KB (562 words) - 11:39, 14 May 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 ThueMorse sequence, or ThueMorse word. Thue wrote two papers on square-free words, the second of which was on the ThueMorse word. Marston Morse is...
    20 KB (2,588 words) - 12:32, 13 February 2025
  • Thumbnail for L-system
    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 ProuhetThueMorse sequence – related to inverse Gray code Ryser formula Hilbert curve...
    181 KB (15,921 words) - 08:28, 24 June 2025