展开模型的排序模式和排列
Ranking patterns of the unfolding model and arrangements
摘要：
在一维展开模型中，给定一般位置的m个对象，出现1+m（m-1）/2个排序。排序的集合被称为m个给定对象的排序模式。通过改变这m个对象，我们可以生成各种排名模式。很自然地会问，当随机选择对象时，可以生成多少个排名模式，每个排名模式的概率是多少？这些问题的研究，通过引入一种新的类型的安排称为中超平面安排，并在其补充细胞计数。
英文摘要：
In the unidimensional unfolding model, given m objects in general position there arise 1+m(m-1)/2 rankings. The set of rankings is called the ranking pattern of the m given objects. By changing these m objects, we can generate various ranking patterns. It is natural to ask how many ranking patterns can be generated and what is the probability of each ranking pattern when the objects are randomly chosen? These problems are studied by introducing a new type of arrangement called mid-hyperplane arrangement and by counting cells in its complement.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
