由负整数阶乘引发对0~*a=0的质疑  

Caused by Negative Integer Factorial for 0~*a=0

作　　者：付方伟 杨毅 张志勇 FU Fang-wei;YANG Yi;ZHANG Zhi-yong(School of Materials Science and Art Design,Inner Mongolia Agricultural University,Hohhot 010018,China)

机构地区：[1]内蒙古农业大学材料科学与艺术设计学院

出　　处：《教育教学论坛》2019年第14期207-209,共3页Education And Teaching Forum

摘　　要：对于正整数阶乘的认识以及其在排列组合中的运用,我们对此并不陌生,正整数阶乘的存在引发出是否也存在负整数阶乘的思考,答案是存在的。负整数阶乘有其特殊性,又与正整数的阶乘有相通性。比如,我们熟知的公理"0乘以任何数一定等于0"。在本文中,由负整数阶乘引发出对0乘以任何数都等于0的质疑。本文以某一泰勒公式展开式为切入点,结合排列组合知识,合理引出负整数阶乘,并加以定义。为日后的深入研究提供基础。For the understanding of the positive integer factorial and its use in the permutation and combination,we are not unfamiliar,the existence of the positive integer factorial triggered a factorial thinking whether there are negative integers,the answer is there.Negative integer factorial has its particularity,and it is also related to the factorial of positive integer.For example,the axioms we know are"0 times anything must be equal to 0".In this article,negative integer factorial raises the question of 0 times any number that is 0.In this paper,we use the formula of one Taylor formula as the starting point,combine the knowledge of the permutation,and rationally bring out negative integer factorial,and define it.And provide the basis for further research.

关 键 词：负整数阶乘 排列组合 泰勒展开式 

分 类 号：G642.4[文化科学—高等教育学]