论文标题
n-simplex的谐波中心：一些特性
Harmonic Center of an n-Simplex: Some Properties
论文作者
论文摘要
n维中的单纯形是由n维中常规（n+1）线性不等式约束定义的。在这里，我们考虑了有限集的单纯胶。谐波中心通常是针对多面体定义的。在这里得出了A行之间的关系，必须满足单纯形的边界。使用这种条件，在单纯形的谐波中心的（n+1）残差之间得出了有趣的关系。最后，开发了线性表达式，在单纯形中到处都是不变的。
A simplex in n dimensions is defined by the usual (n+1) linear inequality constraints in n dimensions. Here we consider simplexes which are bounded sets. The harmonic center has been defined earlier for polytopes in general. A relationship between the rows of A is derived here, which must be satisfied for the simplex to be bounded. Using this condition, an interesting relationship is derived between the (n+1) residuals at the harmonic center of the simplex. Finally, a linear expression is developed which is invariant everywhere in the simplex.
