| 矩阵的体积及其应用 |
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| 引用本文： | 李明 方宜. 矩阵的体积及其应用[J]. 西北师范大学学报(自然科学版), 2005, 41(6): 86-90 |
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| 作者姓名： | 李明 方宜 |
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| 作者单位： | 兰州师范高等专科学校数学系 甘肃兰州730070(李明)，清华大学数学系 北京100084(方宜) |
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| 摘 要： | 利用矩阵体积的概念介绍了各类曲线、曲面积分计算的统一处理方法,同时给出了它在推广勾股定理、计算n维球面的面积和概率中的一些应用.
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| 关 键 词： | 矩阵体积 奇异值 雅可比行列式 勾股定理 |
| 文章编号： | 1001-988X（2005）06-0086-05 |
| 收稿时间： | 2005-01-18 |
| 修稿时间： | 2005-08-29 |
The volume of matrix and its applications |
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| LI Ming, FANG Yi. The volume of matrix and its applications[J]. Journal of Northwest Normal University Natural Science (Bimonthly), 2005, 41(6): 86-90 |
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| Authors: | LI Ming FANG Yi |
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| Affiliation: | 1. Department of Mathematics, Lanzhou Teachers College, Lanzhou 730070, Gansu, China; 2. Department of Mathematics, Tsinghua University, Beijing 100084, China |
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| Abstract: | With the definition of the volume of matrix,an unified method of calculating a variety of curve and surface integral is given.Furthermore,its applications in the generalized Pythagorean theorem,the computation of the area of the unit sphere S_n and probability are introduced. |
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| Keywords: | volume of matrix singular value Jacobi determinant Pythagorean theorem |
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