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1)  Extended point
扩张点
2)  points-set growing
点集扩张
1.
Two numerical algorithms for the new model were described: region merging algorithm and points-set growing algorithm.
对应用于图像处理中的二维Mumford Shah泛函进行简化和降维处理,建立适合于数字信号去噪处理的一维Mumford Shah泛函,利用能量最小化原理的变分方法导出一个新的去噪处理模型,并提出两种不同的计算算法:区域合并算法和点集扩张算法。
3)  a point extension
一点扩张
1.
These problems are:the classes of the extensions of the underlying sets,the products of the extensions of the underlying sets,standard extensions of the underlying sets and a point extensions,and got some important results respectively which may be used for some classes of algebras.
就有关基础集扩张的几个问题进行一些必要的讨论,主要有基础集扩张类、基础集扩张的积、基础集标准扩张及一点扩张,分别得到了一些重要的结果,且可应用于各类具体的代
4)  node expansion
点扩张
1.
Using the concept of node expansion,the generalized hypercube circulants(GHC)to serve as interconnection network topologies are presented,which contain the wellknown cubeconnected cycles(CCC),and it is shown that the GHC is a Cayley graph.
通过广义超立方体的一种点扩张方法构造了广义超立方体循环网络,它包括了人们熟悉的带环连通立方体;证明了广义超立方体循环网络是Cayley图。
5)  vertex-multiplication graph
顶点扩张图
1.
Literature review indicates that some researchers tended to classify the vertex-multiplication graphs corresponding to third-order connected astatic graphs into three categories,and made the hypothesis that the category-Ⅲ graph does not include the vertex-multiplication graph corresponding to the connected astatic graph with its diameter being at lest 3.
文献[1]将3阶以上的连通无向图的顶点扩张图按照其最小定向直径分为三类,并给出了如下猜想:直径至少为3的连通无向图的顶点扩张图不属于第三类图。
6)  a point proper extension
一点真扩张
1.
This paper discusses a point extension from BCI-algubras to proper BCH-algebras and gives out some a point proper extension theorems of BCI--algebras.
讨论了从BCI-代数到真BCH-代数的一点扩张问题,给出了若干个BCI-代数的一点真扩张定理。
补充资料:极大扩张和极小扩张


极大扩张和极小扩张
maximal and minimal extensions

  极大扩张和极小扩张匡.习的司出目.公油抽lex妇心.旧;MaKcl.Ma刀‘.oe H Mll.”M田.妇oe PaC山一Pe皿朋] 一个对称算子(s笋nr贺苗c opemtor)A的极大扩张和极小扩张分别是算子牙(A的闭包,(见闭算子(cfo“月。详mtor”)和A’(A的伴随,见伴随算子(呐。int opera.tor)).A的所有闭对称扩张都出现在它们之间.极大扩张和极小扩张相等等价于A的自伴性(见自伴算子(义休.adjoint operator)),并且是自伴扩张唯一性的必要和充分条件.A.H.J’Ior朋oB,B.c.lll户、MaR撰
  
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