set of numbers
111Addition of natural numbers — is the most basic arithmetic binary operation. The operation addition takes two natural numbers, the augend and addend, and produces a single number, the sum. The set of natural numbers will be denoted by N, and 0 will be used to denote the… …
112Clopen set — In topology, a clopen set (a portmanteau of closed open set) in a topological space is a set which is both open and closed. That this is possible for a set is not as counter intuitive as it might seem if the terms open and closed were thought of… …
113Cylinder set — In mathematics, a cylinder set is the natural open set of a product topology. Cylinder sets are particularly useful in providing the base of the natural topology of the product of a countable number of copies of a set. If V is a finite set, then… …
114Bounded set — In mathematical analysis and related areas of mathematics, a set is called bounded, if it is, in a certain sense, of finite size. Conversely a set which is not bounded is called unbounded. Definition A set S of real numbers is called bounded from …
115Dense set — In topology and related areas of mathematics, a subset A of a topological space X is called dense (in X) if any point x in X belongs to A or is a limit point of A.[1] Informally, for every point in X, the point is either in A or arbitrarily close …
116Colour by Numbers — Studio album by Culture Club Released October 1 …
117Large set (Ramsey theory) — For other uses of the term, see Large set. In Ramsey theory, a set S of natural numbers is considered to be a large set if and only if Van der Waerden s theorem can be generalized to assert the existence of arithmetic progressions with common… …
118Paradoxical set — In set theory, a paradoxical set is a set that has a paradoxical decomposition . A paradoxical decomposition of a set is a partitioning of the set into exactly two subsets, along with an appropriate group of functions that operate on some… …
119Non-Borel set — In mathematics, a non Borel set is a set that cannot be obtained from simple sets by taking complements and at most countable unions and intersections. (For the definition see Borel set.) Only sets of real numbers are considered in this article.… …
120König's theorem (set theory) — For other uses, see König s theorem. In set theory, König s theorem (named after the Hungarian mathematician Gyula König) colloquially states that if the axiom of choice holds, I is a set, mi and ni are cardinal numbers for every i in I , and m i …
