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中文摘要：
该文利用距离几何的理论与方法，研究了球面空间中涉及两个n维单形的几何不等式问题，建立了球面型空间中一种形式的Neuberg-Pedoe不等式和一种形式的彭一常不等式．
英文摘要：
In this paper, the authors study the problem about geometric inequalities for two n-dimensional simplexes in the spherical space by the theory and method of distance geometry. The authors establish a form of the Neuberg-Pedoe inequality and a form of the Peng-Chang inequality in the spherical space.
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