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[标准] 对称平衡不完全区组设计-symmetric balanced incomplete block design

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发表于 2017-5-17 07:14:27 | 显示全部楼层 |阅读模式 | 百度 
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输入的解释:
block design
备选的名字:
balanced incomplete block design | BIBD
定义:
An incidence system (v, k, λ, r, b) in which a set X of v points is partitioned into a family A of b subsets (blocks) in such a way that any two points determine λ blocks with k points in each block, and each point is contained in r different blocks. It is also generally required that k<v, which is where the incomplete comes from in the formal term most often encountered for block designs, balanced incomplete block designs (BIBD).The five parameters are not independent, but satisfy the two relationsvr = bkλ(v - 1) = r(k - 1).
相关主题:
affine plane | design | Fano plane | Hadamard design | parallel class | projective plane | resolution | resolvable | Steiner triple system | symmetric block design | unital
主题分类:
MathWorld:
designs
MSC 2010:
05Bxx


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