b bx 中文意思是什麼
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A block design is a triple d = ( x, b, i ), where x is a finite set ( the point set ) of order v, b is the block set and / is the incidence relation between x and b. for the given block design d, if all the blocks from x, which have the same type of the blocks in b, can be partitioned into some bi, such that each ( x, bi, i ) is a block design with the same parameters and the same type as d, then { ( x, bi, i ) } i is called as large set of d - design of order v. on the other side, let | x | = v, | y | = v + 1, and x y, if all the blocks of the same type from y can be partitioned into some bx, such that each ( y { x }, bx, i } is a block design of order v for any element x y with the same parameters and the same type as d, then { ( y { x }, bx, i ) } x is called an overlarge set of d - design of order v. in this thesis, we discuss the existence problem about some types of large sets and overlarge sets
一個區組設計是由兩個有限集合x ， b及它們之間的關聯關系i組成的，記為d = （ x ， b ， i ） ，其中x為v元集， b為區組集，對于指定的設計d ，若x上與d相應的全部構形可分拆為若干個b _ i ，使得每個（ x ， b _ i ， i ）皆為一個與d同參數同類型設計，則稱這些b _ i構成一個v階d -設計的大集。若v元集x是v + 1元集y的一個子集，而y上與d相應的全部指定構形可分拆為若干個b _ x ，使得每個b _ x恰是y { x }上的一個與d同參數同類型的設計（其中x y ） ，則稱這些b _ x構成一個v階d -設計的超大集。本文中討論了一些區組設計的大集及超大集。
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