| 单形的心距向量公式及其几何特征 |
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| 引用本文： | 马统一,邬天泉. 单形的心距向量公式及其几何特征[J]. 数学的实践与认识, 2007, 37(17): 144-153 |
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| 作者姓名： | 马统一 邬天泉 |
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| 作者单位： | 1. 河西学院,数学系,甘肃,张掖,734000
2. 洪家中学,数学组,浙江,台州,318015 |
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| 基金项目： | 河西学院重点学科资助项目 |
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| 摘 要： | 给出了判断单形五"心"的一组向量形式的充要条件,并以单形ΣA={A0,A1,…,An}的重心为坐标起点,以此单形的n个顶点A0,A1,…,Ak-1,Ak+1,…,An(k=0,1,…,n)为终点的向量为基底,给出了单形中关于超球的心距向量公式,同时进一步研究了这些特征向量的有趣的几何性质.
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| 关 键 词： | Euclidean空间 单形 超球 几何特征 |
| 修稿时间： | 2004-12-20 |
Vector Modal Distance Formulas Between Two Centers of Spheres about a Simplex with Geometrical Charactetistics |
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| MA Tong-yi,WU Tian-quan. Vector Modal Distance Formulas Between Two Centers of Spheres about a Simplex with Geometrical Charactetistics[J]. Mathematics in Practice and Theory, 2007, 37(17): 144-153 |
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| Authors: | MA Tong-yi WU Tian-quan |
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| Abstract: | We establish a group of sufficient and necessary conditions which judge spherical center of a simplex,and bases on the base consisting of vectors started from the point of center of gravity G of the simplex ΣA={A0,A1,…,An}and ended at the n vertexes A0,A1,…,Ak-1,Ak+1,…,An(k=0,1,…,n) of the simplex,we establish vector modal distance formulas of spherical centers in the simplex.Furthermore,some interesting geometric properties are investigated for this characteristic vector. |
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| Keywords: | euclidean space simplex sphere geometric property |
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