摘要
在许多领域的研究中都涉及到求解单纯形体积的问题.对两类单纯形的体积公式进行了区分与推导,首先提出一类将单纯形顶点进行独立变换的方法,然后并将该结果推广至一般情形,进而从另一个角度诠释了高维锥体的体积公式,最后提出进一步可研究的问题.
The problem of solving the volume of a simplex is involved in many fields of research.In this paper,the volume formulas of two kinds of simplex are distinguished and derived.Firstly,we propose a kind of independent transformation method of simplex vertices.Secondly,we extend the result to a general case,and explain the correctness of volume formula for high dimensional cone.At last,some questions that can be further studied are put forward.
作者
李光辉
李俊鹏
张崇岐
LI Guang-hui;LI Jun-peng;ZHANG Chong-qi(School of Science Kaili University,Kaili 556011,China;Shool of Doonomics and Statistics,Guangzhou University,Guangzhou 510006,Clina)
出处
《数学的实践与认识》
北大核心
2020年第19期221-227,共7页
Mathematics in Practice and Theory
基金
贵州省科学技术基金(黔科合基础[2020]1Y010)
国家自然科学基金青年项目(11901260)
凯里学院博士专项课题(BS201807).
关键词
单纯形
线性变换
体积
Simplex
linear transformation
volume
