The Mixed Volume of Two Finite Vector Sets
The Mixed Volume of Two Finite Vector Sets
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DOI：
10.1007/s00454-004-1104-8
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发表时间：
2005-03
影响因子：
0.8
通讯作者：
Xiaoyan Li;G. Leng
中科院分区：
文献类型：
--
作者：
Xiaoyan Li;G. Leng
我们在Rn中引入两个有限向量集的混合体积的概念。通过采用外微分，我们证明了一个新的强有力的不等式，并建立了一系列与两个有限向量集的混合体积相关的数量关系。作为应用，我们讨论了单纯形和哈达玛不等式的一些众所周知的结果。
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.