All rationals occur as exponents

All rationals occur as exponents
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所有有理数均以指数形式出现

DOI:
10.1016/0097-3165(86)90090-7
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发表时间:
1986
期刊:
J. Comb. Theory A
影响因子:
--
通讯作者:
P. Frankl
P. Frankl
中科院分区:
--
文献类型:
--
作者:
P. Frankl

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对于整数n⩾k⩾1和L⊃{0,1,…,k−1};,m(n,k,L)表示ANN-集合的K-子集的最大个数,使得其中任意两个子集的交集的大小为INL。证明了对于每个有理数⩾1,都有K和L的选择,使得cnr<m(n,k,L)和lt;dnr,其中c依赖于land,而不依赖于n。
For integersn⩾k⩾ 1 andL⊃ {0, 1,…,k− 1};,m(n,k,L) denotes the maximum number ofk-subsets of ann-set so that the size of the intersection of any two among them is inL. It is proven that for every rational numberr⩾ 1 there is a choice ofkandLso thatcnr<m(n,k,L) <dnr, wherec,ddepend onkandLbut not onn.