卡塔兰多重映射的镜像变体
Mirror Variations on Catalan Multijections
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中文总结 AI 辅助
本文针对卡塔兰多重映射，在Isaak与Langley的未发表研究基础上，提出新的多重映射，得到与已有多重映射不同的划分。
中文摘要 AI 辅助
卡塔兰多重映射是将$\binom{2n}{n}$个对象划分为大小为$n+1$的等价类的方式，每个等价类恰好含一个不同的卡塔兰对象。Isaak和Langley在未发表手稿中研究了两种多重映射何时产生相同划分，我们提出了一些新的多重映射，它们会产生与此前发现的多重映射不同的划分。
英文摘要
A Catalan multijection is a way to partition a set of $\binom{2n}{n}$ objects into equivalence classes of size $n+1$, where each equivalence class has exactly one distinct Catalan object. Isaak and Langley investigated when two multijections produced the same partitions in an unpublished manuscript. We propose some new multijections for which we get different partitions from previously discovered multijections.
