论文标题

代表自然数的多型的属性

Properties of Polytopes Representing Natural Numbers

论文作者

Lu, Ya-Ping, Deng, Shu-Fang

论文摘要

基于算术的基本定理引入了自然数的晶格多面体表示。使用Polymake和Qhull软件研究了多面体的组合和几何特性。进一步研究了代表自然数量的多层体积和代表自然数量子集的多面体体积之和。

Lattice polytope representation of natural numbers is introduced based on the fundamental theorem of arithmetic. The combinatorial and geometric properties of the polytopes are studied using Polymake and Qhull software. The volume of the polytope representing a natural number and the sum of the volumes of polytopes representing a subset of natural numbers are further examined.

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