| 单词 | steiner system |
| 释义 | > as lemmasSteiner system a. Steiner triple or triplet system (see quot. 1939); so Steiner triplet; also Steiner system, a generalization of the triple system to other numbers (see quot. 19741). [Steiner first described such systems in Jrnl. f. d. reine u. angewandte Math. (1853) XLV. 181.] 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 1939 R. C. Bose in Annals Eugenics IX. 354 Steiner (1853) proposed the problem of arranging N things in triplets, such that every pair occurs in just one and only one triplet. Such an arrangement may be called a simple triple system or a Steiner's triplet system. 1963 H. J. Ryser Combinatorial Math. viii. 100 The Steiner triple system of order 7 is the same as the projective plane of order 2 in the preceding chapter. 1966 Annali di Matematica LXXI. 199 The Steiner system S(5, 8, 24) is an arrangement of 24 elements in sets of 8, such that any 5 of the elements belong to exactly one set. 1974 I. Anderson First Course Combinatorial Math. vii. 102 A Steiner system S(l, m, n) is a collection of m-element subsets of an n element set B such that every l-element subset of B lies in exactly one of the m-element sets. 1974 I. Anderson First Course Combinatorial Math. vii. 102 A Steiner triple system is an S(2, 3, n) for some n. 1980 Sci. Amer. May 14/2 Since Steiner triplets are not ordered, the solution is of course unique. < as lemmas |
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