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1)  Cauchy net
Cauchy网
1.
The nonstandard characteristic of Cauchy net and the family of sets including small sets are presented by the monad of the uniform structure.
利用一致结构的单子给出了 Cauchy网及含小集集族的非标准特征 。
2)  stratified Cauchy net
层次Cauchy网
1.
The main part of this paper is to generalize Cauchy sequences to Cauchy nets and stratified Cauchy sequences to stratified Cauchy nets and characterizes the properties of stratified limit in this case.
在L 拟序集上引入了三种关系 ,并讨论了它们之间的关系及性质 ;定义了Cauchy网及层次Cauchy网 ,从而把Cauchy列与层次Cauchy列的概念推广到了网的水平 。
3)  Cauchy sequence
Cauchy列
1.
In the given metric space,by using two fixed point lemmas on nonlinear operators,based on track continuous mapping and full-track mapping,the proofs of two theorems which deal with Cauchy sequence convergence to nonlinear fixed point,was given.
在(M,d)度量空间中,通过对两个非线性不动点引理的运用,在轨迹连续映射和完全轨迹型映射下,给出Cauchy列收敛于不动点的两个定理证明,其主要结果加深了对不动点理论的深入研究。
2.
Main results are:① every implication open(closed)ball with radius not less then the norm of the heart point is an MP-filter;② every convergent sequence has unique limit;③ every convergent sequence is a Cauchy sequence;④ if a Cauchy sequence {xn} has a subsequence which converges to a point x,then {xn} converges to x too.
证明了:①每一半径不小于球心范数的蕴涵开(闭)球都是MP滤子;②每个收敛序列都有唯一的极限;③每个收敛序列都是Cauchy列;④如果一个Cauchy列{xn}的某个子列收敛于点x,则该Cauchy列本身也收敛于点x。
4)  Cauchy kernel
Cauchy核
1.
This paper studies the singular integral equations with Cauchy kernel on the characteristic manifold of two complex hyper-sphere topological product domains by using h-type integral and the relation between composition singular integral operators on the hyper-sphere topological product domains.
利用两个复超球拓扑积上的h型积分及复合奇异算子之间的关系,研究了在两个复超球拓扑积域特征流形上的含有Cauchy核的奇异积分方程,并讨论了方程的一些例外情形以及与之等价的一类具有常系数的奇异积分方程。
2.
Two classes of singular equations of convolution type with Cauchy kernel and reflection will be set up and discussed.
提出并讨论了二类既含有Cauchy核又含有反射的卷积型方程,利用Fourier变换将其转化为具有反射的间断系数的Riemann边值问题,按照经典的Riemann边值问题的解法,得到了方程在{0}类中的一般解与可解条件。
5)  Cauchy engine
Cauchy机
6)  Cauchy numbers
Cauchy数
补充资料:城域网(见计算机网络)


城域网(见计算机网络)
metropolitan area network, MAN

  ehengyuwQng城域网(metropolitan area netwo次,MAN)分布范围可覆盖几个街区到整个城市的计算机网络。见计算机网络。
  
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