Roman阶乘的通用定义：基础函数与泛化过程导论
组合数学
2025-09-03 v8
摘要
本文介绍了一种重新定义Roman阶乘的新方法，使用不以闭式表达的通用适用函数。我们提出了一组类似于布尔运算的基础函数，以简化阶乘表达。通过系统的泛化过程（称为泛化过程），我们旨在使用这些基础函数创建Roman阶乘的递归和非递归的全局定义。
引用
@article{arxiv.2403.09581,
title = {Universal Definitions of the Roman Factorial: Introduction to Foundational Functions and the Generalization Process},
author = {Leonidas Liponis},
journal= {arXiv preprint arXiv:2403.09581},
year = {2025}
}
备注
24 pages, 16 figures (v2: submission date now shows correctly) (v3: fixed typo, added contact email, added footnote to explain citations) (v4: various latex optimizations) (v5: fixed domain mislabeling in introduction) (v6: adjusted phrasing for clarity) (v7: minor latex modifications in preparation for the follow-up paper) (v8: further latex and formatting improvements)