File:Hasse_diagram_of_powerset_of_3.svg · Wikimedia Commons · See Wikimedia Commons
مجموعه توانی
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set (in mathematics) containing all subsets of a given set
AI overview
A power set is a collection that contains every possible subset you can make from a given set, including the empty set and the set itself. It matters because it's a fundamental concept in mathematics that helps us understand how sets relate to each other and is used in logic, probability, and computer science.
AI-generated from the Wikipedia summary — may contain errors.
Key facts
- Type
- Set operation
- Field
- Set theory
- Statement
- The power set is the set that contains all subsets of a given set.
- Symbolic statement
- x ∈ P ( S ) ⟺ x ⊆ S
via Wikipedia infobox
Wikidata facts
- Image
- OrdenParcial.svg
Show 2 more facts
- Commons category
- Power set
- maintained by WikiProject
- WikiProject Mathematics
Sources (3)
via Wikidata · CC0