排列理论在展开模型中的应用
Application of arrangement theory to unfolding models
摘要：
排列理论在许多领域的展开模型研究中起着至关重要的作用。本文介绍了如何安排理论可以有效地解决问题的计数（i）在展开模型中的可接受的排名的数量和（ii）由展开模型产生的排名模式的数量。本文主要是简要的，但也包含一些新的结果，如简单的上界和下界的排名模式的数量在一维的情况下。
英文摘要：
Arrangement theory plays an essential role in the study of the unfolding model used in many fields. This paper describes how arrangement theory can be usefully employed in solving the problems of counting (i) the number of admissible rankings in an unfolding model and (ii) the number of ranking patterns generated by unfolding models. The paper is mostly expository but also contains some new results such as simple upper and lower bounds for the number of ranking patterns in the unidimensional case.
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。
