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可分组设计
释义
可分组设计
Encyclopedia
理学
组合设计
释
group divisible design
可分组设计
一类特殊的区组设计。设,为给定的正整数,,为给定的正整数集。设,式中为一个元集,构成的一个划分,且1">,是的一个子集族。的元素叫作组(group), 的元素叫作区组(block)。若下述条件满足:①对任意,都有; ②对任意,都有; ③对任意与任意,都有;④中任意一对属于不同组的元素恰好同时包含在个区组中,则称为一个可分组设计,记作或简记为。叫作设计的阶,叫作相遇数。若包含个大小为的组,,且,则称是型为的。
Mathematics
>组合数学、组合设计与图论>组合设计>释义
group divisible design
可分组设计
group-divisible design
可分组设计
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