diophantine approximation

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• Diophantine approximation — In number theory, the field of Diophantine approximation, named after Diophantus of Alexandria, deals with the approximation of real numbers by rational numbers. The absolute value of the difference between the real number to be approximated and… …   Wikipedia

• Diophantine — means pertaining to the ancient Greek mathematician Diophantus. A number of concepts bear this name: Diophantine approximation Diophantine equation Diophantine set This disambiguation page lists articles associated with the same title. If an …   Wikipedia

• Diophantine equation — In mathematics, a Diophantine equation is an indeterminate polynomial equation that allows the variables to be integers only. Diophantine problems have fewer equations than unknown variables and involve finding integers that work correctly for… …   Wikipedia

• Approximation — An approximation (represented by the symbol ≈) is an inexact representation of something that is still close enough to be useful. Although approximation is most often applied to numbers, it is also frequently applied to such things as… …   Wikipedia

• Approximation diophantienne — En théorie des nombres, l approximation diophantienne, qui porte le nom de Diophante d Alexandrie, traite de l approximation des nombres réels par des nombres rationnels. La plus petite distance (au sens de la valeur absolue) entre le nombre réel …   Wikipédia en Français

• 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

• Glossary of arithmetic and Diophantine geometry — This is a glossary of arithmetic and Diophantine geometry in mathematics, areas growing out of the traditional study of Diophantine equations to encompass large parts of number theory and algebraic geometry. Much of the theory is in the form of… …   Wikipedia

• Fraction continue et approximation diophantienne — Le mathématicien indien Âryabhata fait usage d approximations diophantiennes construites à l aide de fractions continues dès le Ve siècle, pour extraire des racines carrées. En mathématiques, la réduite d une fraction continue …   Wikipédia en Français

• Diophantische Approximation — Die mathematische Disziplin der diophantischen Approximation, benannt nach Diophant von Alexandrien, beschäftigt sich mit der Annäherung reeller Zahlen durch rationale Zahlen. Bekannte Sätze in der Theorie der diophantischen Approximation sind… …   Deutsch Wikipedia

• List of theorems — This is a list of theorems, by Wikipedia page. See also *list of fundamental theorems *list of lemmas *list of conjectures *list of inequalities *list of mathematical proofs *list of misnamed theorems *Existence theorem *Classification of finite… …   Wikipedia

• Number theory — A Lehmer sieve an analog computer once used for finding primes and solving simple diophantine equations. Number theory is a branch of pure mathematics devoted primarily to the study of the integers. Number theorists study prime numbers (the… …   Wikipedia