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。
Some geometric inequalities on metric addition simplex which volume and radius of circumscribed sphere are obtained. As its application, some important corollaries are given.
采用有限元法建立了单热源合成炉和多热源合成炉温度场的有限元几何模型和数值计算模型。
The geometry models and numerical calculation models of temperature field in single-heat and multi-heat sources furnaces are established through finite element method.
使用几何方法对单框架控制力矩陀螺群（包括转子恒速的CSCMG和转子变速的VSCMG）的奇异性进行了分析。
This research is focused on the singularity analysis for single-gimbal control moment gyros systems (SCMGs) which include two types, with constant speed (CSCMG) or variable speed (VSCMG) rotors.
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