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

ZHOU Yong-guo

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

Chinese Quarterly Journal of Mathematics >

2014 , Vol. 29 >Issue 2: 247 - 252

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2014.02.014

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

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The No.1 Middle School, Yuanling Country

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

Received date: 2012-09-20

Online published: 2021-04-06

Supported by

Supported by the Department of Education Science Research Project of Hunan Province（09C470）；

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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

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

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