Abstract
We introduce the concept of the mixed volume of two finite vector sets in Rn. By employing the exterior differential, we prove a new and powerful inequality and establish a series of quantity relations associated with the mixed volume of two finite vector sets. As applications, we discuss some well-known results of simplices and the Hadamard inequality.
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Xiaoyan, L., Gangsong, L. The Mixed Volume of Two Finite Vector Sets. Discrete Comput Geom 33, 403–421 (2005). https://doi.org/10.1007/s00454-004-1104-8
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DOI: https://doi.org/10.1007/s00454-004-1104-8