有限点集的m级连心线及其性质

doi:10.13371/j.cnki.chin.q.j.m.2014.02.014

数学季刊 ›› 2014, Vol. 29 ›› Issue (2): 247-252.doi: 10.13371/j.cnki.chin.q.j.m.2014.02.014

有限点集的m级连心线及其性质

The No.1 Middle School, Yuanling Country

收稿日期:2012-09-20 出版日期:2014-06-30 发布日期:2021-04-06
作者简介: ZHOU Yong-guo(1962-), male, native of Yuanling, Hunan, a senior teacher of Yuanling No.1 Middle School, engages in elementary mathematics and high-dimensional convex bodies geometry
基金资助:
Supported by the Department of Education Science Research Project of Hunan Province（09C470）；

m-degree Center-connecting Line of Finite Points Set and Its Properties

The No.1 Middle School, Yuanling Country

Received:2012-09-20 Online:2014-06-30 Published:2021-04-06
About author: ZHOU Yong-guo(1962-), male, native of Yuanling, Hunan, a senior teacher of Yuanling No.1 Middle School, engages in elementary mathematics and high-dimensional convex bodies geometry
Supported by:
Supported by the Department of Education Science Research Project of Hunan Province（09C470）；

摘要/Abstract

摘要： In this paper, we first give the concept of m-degree center-connecting line in n-dimensional Euclidean space Enand investigate its several properties, then we obtain the length of m-degree center-connecting line formula in finite points set. As its application,we extend the Leibniz formula and length of medians formula in n-dimensional simplex to polytope.

关键词: n-dimensional Euclidean space, finite points set, m-degree center-connecting line, properties

Abstract: In this paper, we first give the concept of m-degree center-connecting line in n-dimensional Euclidean space Enand investigate its several properties, then we obtain the length of m-degree center-connecting line formula in finite points set. As its application,we extend the Leibniz formula and length of medians formula in n-dimensional simplex to polytope.

Key words: n-dimensional Euclidean space, finite points set, m-degree center-connecting line, properties

中图分类号:

O181

周永国. 有限点集的m级连心线及其性质[J]. 数学季刊, 2014, 29(2): 247-252.

ZHOU Yong-guo. m-degree Center-connecting Line of Finite Points Set and Its Properties[J]. Chinese Quarterly Journal of Mathematics, 2014, 29(2): 247-252.

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有限点集的m级连心线及其性质

m-degree Center-connecting Line of Finite Points Set and Its Properties

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