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单词 recursive set
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recursive set
recursive set n. Mathematics and Logic a set of natural numbers, or of elements that each corresponds to a natural number, generated by a recursive procedure.
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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
1943 Amer. Jrnl. Math. 65 201 We may note this interchange of primary and secondary concept as compared with the Church development; for normal set corresponds to recursively enumerable set, binormal set to (general) recursive set.
1989 R. Penrose Emperor's New Mind iv. 120 A set which has the property that both it and its complementary set are recursively enumerable is called a recursive set.
2006 Jrnl. Complexity 22 748 A recursive binary tree T which has A but no recursive set as an infinite branch is constructed.
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