| 单词 | power set |
| 释义 | > as lemmaspower set power set n. Mathematics the set of all the subsets of a given set. ΘΚΠ the world > relative properties > number > mathematical number or quantity > numerical arrangement > [noun] > set set1857 interval1902 intersection1909 union1912 lattice1933 matroid1935 closure1937 Steiner triple or triplet system1939 recursive set1943 convex hull1951 power set1953 convex envelope1964 Steiner system1966 Julia set1976 Mandelbrot set1984 1953 A. A. Fraenkel Abstr. Set Theory ii. 96 The set of all subsets of S may..be called the power-set of S. 1982 W. S. Hatcher Logical Found. Math. iii. 97 Cantor proved, by contradiction, that the set of all subsets (the power set) of a given set must have greater cardinality than the set itself. 2004 M. Potter Set Theory & its Philos. 210 One of the simplest ways in which this failure manifests itself is in the relation to the question of the cardinality of the power set. < as lemmas |
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