Universal Definitions of the Roman Factorial: Introduction to Foundational Functions and the Generalization Process

Fuente: arXiv
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Autore principale: Liponis, Leonidas
Natura: Preprint
Pubblicazione: 2024
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author Liponis, Leonidas
author_facet Liponis, Leonidas
contents This paper introduces a new method for redefining the Roman factorial using universally applicable functions that are not expressed in closed form. We present a set of foundational functions, similar to Boolean operations, to simplify the factorial expression. Through a systematic process of generalization, termed generalization process, we aim to use these foundational functions to create recursive and non-recursive, global definitions of the Roman factorial.
format Preprint
id arxiv_https___arxiv_org_abs_2403_09581
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Universal Definitions of the Roman Factorial: Introduction to Foundational Functions and the Generalization Process
Liponis, Leonidas
Combinatorics
This paper introduces a new method for redefining the Roman factorial using universally applicable functions that are not expressed in closed form. We present a set of foundational functions, similar to Boolean operations, to simplify the factorial expression. Through a systematic process of generalization, termed generalization process, we aim to use these foundational functions to create recursive and non-recursive, global definitions of the Roman factorial.
title Universal Definitions of the Roman Factorial: Introduction to Foundational Functions and the Generalization Process
topic Combinatorics
url https://arxiv.org/abs/2403.09581