文中证明了如果广义对称系统在一点的邻域可控，那么系统在包含该点群作用轨道的一个开集上是可控的。
It is shown that if a generalized symmetric system is controllable on a neighborhood of a point, then the system is controllable on some open set which includes the group action-orbit at the point.
引入模糊球、模糊压缩球、模糊邻域等概念，用来作为对模糊自然语言词组“一点附近”、“某值附近”等的描述，分别从相关数学性质分析证明和示例仿真两个方面说明这种模糊描述的有效性。
The concepts of fuzzy ball, fuzzy press-ball and fuzzy neighborhood were proposed in this paper, which were employed to describe the fuzzy nature language words nearby a point or about a number .
一般齿轮齿形曲线在一点邻域的高阶阶戴劳级数展开后，会发现齿面啮合点邻域间隙为2阶无穷小。
The common gear tooth profile curve launches after neighborhood higher order step taylor's series, can discover the tooth face meshing point neighborhood gap is 2 step infinitely greats.
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