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Sierpinski set

См. также в других словарях:

  • Sierpiński curve — Sierpiński curves are a recursively defined sequence of continuous closed plane fractal curves discovered by Wacław Sierpiński, which in the limit n ightarrow infty completely fill the unit square: thus their limit curve, also called the… …   Wikipedia

  • Sierpiński space — In mathematics, Sierpiński space (or the connected two point set) is a finite topological space with two points, only one of which is closed.It is the smallest example of a topological space which is neither trivial nor discrete. It is named… …   Wikipedia

  • Sierpiński triangle — The Sierpiński triangle, also called the Sierpiński gasket or the Sierpiński Sieve, is a fractal named after Wacław Sierpiński who described it in 1915. [. W. Sierpiński, Sur une courbe dont tout point est un point de ramification ,C. R. Acad.… …   Wikipedia

  • Sierpinski number — In number theory, a Sierpinski number is an odd natural number k such that integers of the form k 2 n + 1 are composite (i.e. not prime) for all natural numbers n .In other words, when k is a Sierpinski number, all members of the following set… …   Wikipedia

  • Sierpiński, Wacław — ▪ Polish mathematician born March 14, 1882, Warsaw, Russian Empire [now in Poland] died October 21, 1969, Warsaw  leading figure in point set topology and one of the founding fathers of the Polish school of mathematics, which flourished between… …   Universalium

  • Sierpiński carpet — The Sierpinski carpet is a plane fractal first described by Wacław Sierpiński in 1916. The carpet is a generalization of the Cantor set to two dimensions (another is Cantor dust). Sierpiński demonstrated that this fractal is a universal curve, in …   Wikipedia

  • Wacław Sierpiński — Wacław Franciszek Sierpiński (March 14 1882 October 21 1969) (pronounced|ˈvaʦwaf fraɲˈʨiʂɛk ɕɛrˈpʲiɲskʲi), a Polish mathematician, was born and died in Warsaw. He was known for outstanding contributions to set theory (research on the axiom of… …   Wikipedia

  • Covering set — In mathematics, a covering set for a sequence of integers refers to a set of prime numbers such that every term in the sequence is divisible by at least one member of the set. The term covering set is used only in conjunction with sequences… …   Wikipedia

  • Cantor set — In mathematics, the Cantor set, introduced by German mathematician Georg Cantor in 1883 [Georg Cantor (1883) Über unendliche, lineare Punktmannigfaltigkeiten V [On infinite, linear point manifolds (sets)] , Mathematische Annalen , vol. 21, pages… …   Wikipedia

  • List of set theory topics — Logic portal Set theory portal …   Wikipedia

  • Derived set (mathematics) — In mathematics, more specifically in point set topology, the derived set of a subset S of a topological space is the set of all limit points of S. It is usually denoted by S′. The concept was first introduced by Georg Cantor in 1872 and he… …   Wikipedia

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