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What (who) is power set - definition
Power set
MATHEMATICAL SET CONTAINING ALL SUBSETS OF A GIVEN SET
Powerset; Power Set; 𝒫; Binomial poset
In mathematics, the power set (or powerset) of a set is the set of all subsets of , including the empty set and itself. In axiomatic set theory (as developed, for example, in the ZFC axioms), the existence of the power set of any set is postulated by the axiom of power set.
powerset
MATHEMATICAL SET CONTAINING ALL SUBSETS OF A GIVEN SET
Powerset; Power Set; 𝒫; Binomial poset
<mathematics> The powerset of a set S is the set of possible
subsets of S, usually written PS.
(1994-11-08)
Set (mathematics)
![The [[natural numbers]] <math>\mathbb{N}</math> are contained in the [[integers]] <math>\mathbb{Z}</math>, which are contained in the [[rational numbers]] <math>\mathbb{Q}</math>, which are contained in the [[real numbers]] <math>\mathbb{R}</math>, which are contained in the [[complex numbers]] <math>\mathbb{C}</math>](https://commons.wikimedia.org/wiki/Special:FilePath/NumberSetinC.svg?width=200 "The [[natural numbers]] <math>\mathbb{N}</math> are contained in the [[integers]] <math>\mathbb{Z}</math>, which are contained in the [[rational numbers]] <math>\mathbb{Q}</math>, which are contained in the [[real numbers]] <math>\mathbb{R}</math>, which are contained in the [[complex numbers]] <math>\mathbb{C}</math>")
WELL-DEFINED MATHEMATICAL COLLECTION OF DISTINCT OBJECTS
Set (math); Crisp set; Conventional set; Number sets; Set (mathematical); Mathematical set; Set logic; Basic set operations; Finite subset
A set is the mathematical model for a collection of different things; a set contains elements or members, which can be mathematical objects of any kind: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other sets. The set with no element is the empty set; a set with a single element is a singleton.
Examples of use of power set
1. Power station operator International Power set the pace with a gain of 7 per cent, reflecting its confident outlook and the fact that much of its UK power supply had been forward contracted at 2006 prices.
2. In Delaware, where Delmarva Power set forth rate jumps of at least 5' percent, lawmakers responded by phasing them in over several years and requiring power companies to do long–term planning.