| En空间二面角的另一类不等式 |
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| 引用本文： | 王学斌.En空间二面角的另一类不等式[J].湖南理工学院学报,2000,13(4). |
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| 作者姓名： | 王学斌 |
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| 作者单位： | 株洲职业技术学院!湖南 株洲412000 |
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| 摘 要： | 在［２］中尹景尧得出关于单纯形的一类三角不等式。本文把不等式：Ａ、Ｂ、Ｃ为ΔＡＢＣ的三内角,推广到ｎ维单形上去并且得另一类关于二面角的不等式．假定Ｅ中非退化单形Δｎ的顶点集Ｓ＝｛Ｐ１,Ｐ２,…,Ｐｎ＋１｝,表示顶点Ｐｉ所对的ｎ－１维侧面,表示侧面Ｆｉ与Ｆｉ所夹的内二面角,即则有下面结论：m为任何自然数;等号当Δｎ为正则单形时取得．
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| 关 键 词： | n维单形 正则单形 内二面角 |
THE ANOTHER CLASS OF INEQUALITY ABOUT E" SPATIAL DIHEDRAL ANGLE |
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| WANG Xue-bin.THE ANOTHER CLASS OF INEQUALITY ABOUT E" SPATIAL DIHEDRAL ANGLE[J].Journal of Hunan Institute of Science and Technology,2000,13(4). |
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| Authors: | WANG Xue-bin |
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| Abstract: | In 2], YIN Jing-rao gets the triangle inequality about simplex. This paper spreads the inequality , here A. B. C stand for the three interior angle of triangle ABC" to n-dimensional simplex field and gets another class of inequality about dihedral angle: here,, is interior dihedral angle of leteral face F, and F,, m, n is arbitrary natural number. The equality is obtained when An is regular simplex. |
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| Keywords: | n-dimensional simplex regular simplex interior dihedral |
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