| 单形正弦定理的再推广 |
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| 引用本文： | 郭曙光.单形正弦定理的再推广[J].数学杂志,2005,25(1):87-90. |
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| 作者姓名： | 郭曙光 |
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| 作者单位： | 江苏盐城师范学院数学系,江苏,盐城,224002 |
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| 摘 要： | 本文利用Grassmann代数建立n维欧氏空间中单形的k级n-k s维顶点角的概念，在此基础上对单形的正弦定理再作推广，并获得单形新的一类体积公式和一个几何不等式．
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| 关 键 词： | 单形 顶点角 正弦定理 体积公式 几何不等式 |
| 文章编号： | 0255-7797(2005)01-0087-04 |
FURTHER GENERALIZATION OF THE SINE THEOREM FOR SIMPLEX |
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| GUO Shu-guang.FURTHER GENERALIZATION OF THE SINE THEOREM FOR SIMPLEX[J].Journal of Mathematics,2005,25(1):87-90. |
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| Authors: | GUO Shu-guang |
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| Abstract: | Employing Grassmann algebra, the concept of k-order and (n-k+s) dimensional vertex angle for n-dimensional simplex in n-dimensional Euclidean space is given. Based on the concept, the sine theorem for simplex is generalized further. A class of volume formulas and a geometric inequality of a simplex are also obtained. |
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| Keywords: | simplex vertex angle sine theorem volume formula geometric inequality |
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