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The Generalized Sine Theorem for Mixed Vertex Angle of Two Simplices and Applications
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作者 wang wen yang shi-guo qi ji-bing 《Chinese Quarterly Journal of Mathematics》 2015年第2期190-198,共9页
Some related problems of two n-dimensional simplices which are on an(n- 1)-dimensional hypersphere are investigated and a sine theorem of the k-dimensional mixed vertex angles which are defined in this paper is given.... Some related problems of two n-dimensional simplices which are on an(n- 1)-dimensional hypersphere are investigated and a sine theorem of the k-dimensional mixed vertex angles which are defined in this paper is given. This result is a generalization of the sine theorem established. By using the generalized sine theorem, we present some new interesting geometric inequalities involving the k-dimensional vertex angles of each n-simplex and the k-dimensional mixed vertex angle of two n-simplices. These results can improve some recent results. 展开更多
关键词 simplex k-dimensional vertex angle k-dimensional mixed vertex angle the sine theorem geometric inequalities
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