Determining a Set from the Cardinalities of its Intersections with Other Sets
Determining a Set from the Cardinalities of its Intersections with Other Sets
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根据集合与其他集合的交集的基数确定集合
DOI：
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发表时间：
1964
期刊：
影响因子：
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通讯作者：
D. Cantor
中科院分区：
文献类型：
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作者：
D. Cantor
设n为正整数，设N = {1，2，. . .，n}。集合{S1，S2，. . .，St }的集合称为确定，对于任何T <$N，t个交点T <$Sj的基数是否唯一地确定T。设1欧元，2欧元，. . .，n是n个变量，范围为{0，1}。很明显，决定性集合（Sj）具有如下性质：
Let n be a positive integer and put N = {1, 2, . . . , n}. A collection {S 1, S 2, . . . , St } of subsets of N is called determining if, for any T ⊂ N, the cardinalities of the t intersections T ∩ Sj determine T uniquely. Let €1, €2, . . . , € n be n variables with range {0, 1}. It is clear that a determining collection {Sj ) has the property that the sums