Word.ws English Dictionary

power set

power set noun: the set whose elements comprise all the subsets of S (including the empty set and S itself).

Noun

power set (plural power sets)

  1. The set whose elements comprise all the subsets of S (including the empty set and S itself).
    • The power set of #92;#123;1,2#92;#125; is #92;left#92;#123;#92;empty,#92;#123;1#92;#125;,#92;#123;2#92;#125;,#92;#123;1,2#92;#125;#92;right#92;#125;.
    • Moreover, for notational convenience, we write the cardinality of a denumerable set as #92;aleph#95;0. Cardinality of the power set of a denumerable set is written as #92;aleph#95;1. We may thus extend this notation further by taking cardinality of the power set of the power set of a denumerable...2009, Arindama Singh, Elements of Computation Theory, Springer, page 16

power set meaning in Tamil

power set in Tamil

அடுக்குக் கணம்

Examples of power set in a sentence

  • Cardinality of the power set of a denumerable set is written as #92;aleph#95;1.2009, Arindama Singh, Elements of Computation Theory, Springer, page 16:
  • A complete Boolean algebra B has a set of (complete and atomic) ca-free generators iff B is isomorphic to the power set of a power set.2013, A. Carsetti, Epistemic Complexity and Knowledge Construction, Springer, page 94:
  • Exponentiation is essentially a move to the power set—the set of all subsets of a given set.2015, Amir D. Aczel, Finding Zero: A Mathematician's Odyssey to Uncover the Origins of Numbers, Palgrave MacMillan, page 147:

Forms of power set

pluralpower sets
alternative formpower-set
alternative formpowerset

Words formed from power set

  • hyper-power set

Questions about power set

What does power set mean?
Power set means the set whose elements comprise all the subsets of S (including the empty set and S itself).
What is power set in Tamil?
Power set in Tamil is அடுக்குக் கணம். See Power set meaning in Tamil.
How do you use power set in a sentence?
Cardinality of the power set of a denumerable set is written as #92;aleph#95;1.
What part of speech is power set?
Power set is a noun.
What is the plural of power set?
The plural of power set is power sets.

Words near power set in the dictionary

  1. power saws
  2. power scaling
  3. power screw
  4. power screws
  5. power series
  6. power set
  7. power sets
  8. power sharing
  9. power shovel
  10. power shovels
  11. power shower

Source and license

Adapted from Wiktionary: power set (page history and authors); power set (Tamil Wiktionary) (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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Cite this entry: “power set.” Word.ws, https://word.ws/power_set. Based on Wiktionary, CC BY-SA 4.0.