volume 33, issue 3, P403-421 2004
DOI: 10.1007/s00454-004-1104-8
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Abstract: Abstract. We introduce the concept of the mixed volume of two finite vector sets in R n . 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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