**Power set** — In mathematics, given a set S , the power set (or powerset) of S , written mathcal{P}(S), P ( S ), or 2 S , is the set of all subsets of S . In axiomatic set theory (as developed e.g. in the ZFC axioms), the existence of the power set of any set… … Wikipedia

**power set** — Math. the collection of all subsets of a given set. [1950 55] * * * power set noun (mathematics) A set comprising all the subsets of a given set • • • Main Entry: ↑power … Useful english dictionary

**power set** — noun The set of all subsets of a set. Notation for a set S: or 2 The power set of 1, 2 is Ø, , , 1, nbsp;2 … Wiktionary

**power set** — The power set of a set S is the set of all subsets of S. See also Cantor s theorem … Philosophy dictionary

**Axiom of power set** — In mathematics, the axiom of power set is one of the Zermelo Fraenkel axioms of axiomatic set theory.In the formal language of the Zermelo Fraenkel axioms, the axiom reads::forall A , exists P , forall B , [B in P iff forall C , (C in B… … Wikipedia

**Set tools** — are a forging tools that are meant to be struck by a hammer, either sledge or power. Set tools are usually made with a handle to keep the smith a safe distance from the action. Set tools for the anvil, where they are struck with a sledgehammer,… … Wikipedia

**Set (mathematics)** — This article gives an introduction to what mathematicians call intuitive or naive set theory; for a more detailed account see Naive set theory. For a rigorous modern axiomatic treatment of sets, see Set theory. The intersection of two sets is… … Wikipedia

**Power graph analysis** — In computational biology, power graph analysis is a method for the analysis andrepresentation of complex networks. Power graph analysis is the computation, analysis and visual representation of a power graph from a graphs (networks).Power graph… … Wikipedia

**set theory** — the branch of mathematics that deals with relations between sets. [1940 45] * * * Branch of mathematics that deals with the properties of sets. It is most valuable as applied to other areas of mathematics, which borrow from and adapt its… … Universalium

**Set theory** — This article is about the branch of mathematics. For musical set theory, see Set theory (music). A Venn diagram illustrating the intersection of two sets. Set theory is the branch of mathematics that studies sets, which are collections of objects … Wikipedia