Chinese Quarterly Journal of Mathematics ›› 2014, Vol. 29 ›› Issue (2): 247-252.doi: 10.13371/j.cnki.chin.q.j.m.2014.02.014

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

  

  1. 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);

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

CLC Number: