数学季刊 >

2015 , Vol. 30 >Issue 3: 366 - 372

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2015.03.007

涉及两个质点组的一个恒等式及应用

展开
  • The Yuanling No.1 Midlde School
ZHOU Yong-guo(1962-), male, native of Yuanling, Hunan, a senior teacher in Yuanling No.1 Middle School, engages in elementary mathematics and high-dimensional convex bodies geometry.

收稿日期: 2013-05-26

  网络出版日期: 2020-11-20

收起

An Identity and Its Applications Concerning Two Mass-points Systems

Expand
  • The Yuanling No.1 Midlde School
ZHOU Yong-guo(1962-), male, native of Yuanling, Hunan, a senior teacher in Yuanling No.1 Middle School, engages in elementary mathematics and high-dimensional convex bodies geometry.

Received date: 2013-05-26

  Online published: 2020-11-20

Fold

摘要

In this paper, we first give and prove a geometric identity for distance between any point and mass-points of two mass-points systems in n-dimensional Euclidean space Rn.As its application, we obtain an equality for two mass-points systems and its radius of the circumscribed sphere and an inequality for distance between mass-points of two mass-points systems and its k-dimensional volume. 

关键词： mass-points system; distance; volume; geometric identity; geometric inequality

本文引用格式

周永国 . 涉及两个质点组的一个恒等式及应用[J]. 数学季刊, 2015 , 30(3) : 366 -372 . DOI: 10.13371/j.cnki.chin.q.j.m.2015.03.007

Abstract

In this paper, we first give and prove a geometric identity for distance between any point and mass-points of two mass-points systems in n-dimensional Euclidean space Rn.As its application, we obtain an equality for two mass-points systems and its radius of the circumscribed sphere and an inequality for distance between mass-points of two mass-points systems and its k-dimensional volume. 

Key words： mass-points system; distance; volume; geometric identity; geometric inequality

Options
文章导航

/

〈 〉

版权所有 © 《数学季刊》编辑部
地址：河南省开封市明伦街85号河南大学数学季刊编辑部
电话：0371-23881698　E-mail: sxjk@henu.edu.cn　QQ: 2454327236
本系统由北京玛格泰克科技发展有限公司设计开发　技术支持：support@magtech.com.cn