1·Some geometric inequalities on metric addition simplex which volume and radius of circumscribed sphere are obtained. As its application, some important corollaries are given.
本文获得了一类关于度量加单形的体积和外接超球半径的几何不等式，作为其应用，给出了一些重要的推论。
2·In this. paper, some extreme graphs relative to network problems are studied. The main results include five theorems on maximum graphs without triangles and their three corollaries.
本文研究与网络题有关的一些极图，得出的主要结果有：五个关于没有三角形的极大图的定理，以及它们的三个推论。
3·As corollaries, the classical strong laws of large number for stochastic sequence and the strong laws of large number for arbitrary stochastic sequence are obtained.
作为推论，得到随机变量序列已有的经典强大数定律以及对任意随机变量序列普遍成立的强大数定律。
4·Theorems and corollaries for inherent rule of group communication pattern are proposed to optimize message scheduling using the information provided by parallel applications.
利用并行应用提供的信息给出群通信模式内在规律的定理和推论，从而优化消息调度。
5·According to that, two correlativity theorems and three corollaries of basic changing topology ways of the variable topology mechanisms are discovered, put forward and proved strictly.
依据该基本原理，发现、提出并充分证明了变拓扑机构基本变拓扑方式的两个相关性定理及其三个推论。