Thue–Siegel–Roth theorem — In mathematics, the Thue–Siegel–Roth theorem, also known simply as Roth s theorem, is a foundational result in diophantine approximation to algebraic numbers. It is of a qualitative type, stating that a given algebraic number α may not have too… … Wikipedia
Thue-Morse sequence — See also: Thue Morse constantIn mathematics and its applications, the Thue Morse sequence, or Prouhet Thue Morse sequence, is a certain binary sequence whose initial segments alternate (in a certain sense).The Thue Morse sequence begins:0… … Wikipedia
Thue–Morse sequence — See also: Prouhet–Thue–Morse constant 5 logical matrices that give the beginning of the T. M. sequence, when read line by line Either in set A (vertical index) … Wikipedia
Axel Thue — Infobox Scientist name = Axel Thue image width = 250px caption = Axel Thue (1863 1922) birth date = birth date|1863|2|19|df=y birth place = Tönsberg, Norway residence = nationality = death date = death date and age|1922|3|7|1863|2|19|df=y death… … Wikipedia
Semi-Thue system — In computer science and mathematics a Semi Thue system (also called a string rewriting system [Book and Otto, p. 36] ) is a type of term rewriting system. It is named after the Norwegian mathematician Axel Thue, who introduced systematic… … Wikipedia
Fermat's theorem on sums of two squares — In number theory, Pierre de Fermat s theorem on sums of two squares states that an odd prime p is expressible as:p = x^2 + y^2,,with x and y integers, if and only if:p equiv 1 pmod{4}.The theorem is also known as Thue s Lemma, after Axel Thue.For … Wikipedia
Siegel's theorem on integral points — In mathematics, Siegel s theorem on integral points is the 1929 result of Carl Ludwig Siegel, that for an algebraic curve C of genus g defined over a number field K , presented in affine space in a given coordinate system, there are only finitely … Wikipedia
Satz von Thue-Siegel-Roth — Der Satz von Thue Siegel Roth aus der Theorie diophantischer Approximationen in der Zahlentheorie wurde von Klaus Friedrich Roth nach Vorarbeiten von Axel Thue und Carl Ludwig Siegel 1955 bewiesen.[1] Er besagt, dass für jede algebraische Zahl α… … Deutsch Wikipedia
Størmer's theorem — In number theory, Størmer s theorem, named after Carl Størmer, gives a finite bound on the number of consecutive pairs of smooth numbers that exist, for a given degree of smoothness, and provides a method for finding all such pairs using Pell… … Wikipedia
Dirichlet's approximation theorem — In number theory, Dirichlet s theorem on Diophantine approximation, also called Dirichlet s approximation theorem, states that for any real number α and any positive integer N, there exists integers p and q such that 1 ≤ q ≤ N and This is a… … Wikipedia
