power set

Noun

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

Usage notes
Denoted using the notation P(S) with any one of several fonts for the letter "P" (usually uppercase). Examples include: $$\mathcal{P}(S)$$, $$\wp(S)$$ (with the ), $$\mathbb{P}(S)$$ and 𝒫(S). An alternative notation is $$2^S\!\!$$, derived from the consideration that a set $$T$$ in the power set is fully characterised by determining, for each element of $$S$$, whether it is or is not in $$T$$.

Translations

 * Chinese:
 * Mandarin: 冪集
 * Czech: potenční množina
 * Dutch: machtenverzameling
 * French: ensemble des parties
 * German:
 * Hebrew: קבוצת חוזקה
 * Hungarian:
 * Icelandic: veldismengi
 * Italian: insieme delle parti, insieme potenza
 * Japanese:
 * Polish: zbiór potęgowy
 * Portuguese: conjunto de partes
 * Russian:
 * Serbo-Croatian: partitivni skup
 * Spanish: conjunto de partes
 * Swedish: