Phrase guide

power set

noun · 1 senses · updated from the 2026-07-25 local source snapshot

Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.

Sound

Pronunciation

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1

noun

Meaning 1

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

Definition source: English Wiktionary via Wiktextract

Topics: mathematics, sciences, set-theory

Examples

  • 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;.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

History

Etymology

No etymology was provided for this word.

Across languages

Translations

18 source translations are retained for this English entry.

  • Chinese Mandarin: 冪集 /幂集 (mìjí) — set of all subsets of a set
  • Czech: potenční množina — set of all subsets of a set
  • Dutch: machtenverzameling — set of all subsets of a set
  • French: ensemble des parties — set of all subsets of a set
  • German: Potenzmenge — set of all subsets of a set
  • Hebrew: קבוצת חוזקה \ קְבוּצַת חָזְקָה (k'vutzát khozká) — set of all subsets of a set
  • Hungarian: hatványhalmaz — set of all subsets of a set
  • Icelandic: veldismengi — set of all subsets of a set
  • Italian: insieme delle parti — set of all subsets of a set
  • Italian: insieme potenza — set of all subsets of a set
  • Japanese: 冪集合 (bekishūgō) — set of all subsets of a set
  • Korean: 멱집합 (myeokjiphap) — set of all subsets of a set
  • Polish: zbiór potęgowy — set of all subsets of a set
  • Portuguese: conjunto de partes — set of all subsets of a set
  • Russian: булеан (bulean) — set of all subsets of a set
  • Serbo-Croatian: partitivni skup — set of all subsets of a set
  • Spanish: conjunto de partes — set of all subsets of a set
  • Swedish: potensmängd — set of all subsets of a set