论文标题
简单的简单总和
A simple sum for simplices
论文作者
论文摘要
我们在$ \ mathbb r^n $中给出了$ n+2 $点的向量身份。因此，当$ n $奇怪的是，$ n $ simplices的签名卷的总和为零，而当$ n $甚至是$ n $时，签名量的交替总和为零。
We give a vector identity for $n+2$ points in $\mathbb R^n$. It follows as a corollary that when $n$ is odd the sum of the signed volumes of the $n$-simplices is zero, and when $n$ is even, the alternating sum of the signed volumes is zero.
