查询词典 countable infinite set

Through the analysis of the second power Cartesian product of natural number set N——N×N and the thirdpower Cartesian product of natural number set N——N×N×N,obtains the conclusion that they all have the bijective relation to natural number set N,it means that the set N×N and the set N×N×N are all countably infinite.

通过对自然数集合N的二次笛卡尔积运算———N×N和三次笛卡尔积运算———N×N×N的详细分析，得出了它们与自然数集合N之间都存在双射关系结论，即集合N×N和集合N×N×N都是可数无穷的。

The results show that if a convex game with a countable set of players is continuous at the grand coalition,then its core is the unique Von Neumann-Morgenstern stable set.

将稳定集的定义扩展到局中人集合是可数集的联盟对策中，并证明若局中人集合是可数集的凸联盟对策在总的联盟是连续的，那么它的核心是唯一的Von Neumann-Morgenstern稳定集。

Company has 8 sets Vertical Machining Center, 1 set Horizontal Machining Center, 6 sets NC lathe, 1 set O.D. Grinding machine, 1 set Plane Grinding machine, 3 sets EDM, 1 set CMM, 1 set universal tool microscope, 1 set cutter aligner, 1 set roughness instrument, etc., much of equipments are the most advanced in domestic.

主要 设备有：加工中心9台（最大加工范围800mm）、数控车床6台（最大加工直径360mm）、外圆磨、平面磨、慢走丝线切割机、快走丝线切割机，电火花成形机、三维坐标测量仪、万能工具显微镜，精密对刀仪、粗糙度仪等。

The research is carried on from four aspects. One is, based on answering the above open problem on a finite dimensional Euclidean space by means of partially ordered theory, to research the existence of solutions, global error bounds of proximal solutions and sensitivity of parametric unique solutions and present a class of variable-parameter three-step iterative algorithms for generalized set-valued variational inclusion problems by using - resolvent operator of set-valued mapping.Two is to consider the convexity, closedness and boundedness of the solution set of general set-valued variational inclusion problems and the sensitivity of the parametric solution set by means of graphical convergence theory. Three is to discuss directly the existence of solutions by using analytical methods for set-valued mixed quasi-variational-like inequalities and suggest a class of direct variable-parameter three-stepiterative algorithms for solving generalized set-valued variational inclusions.

研究分有三个方面：一是借助于偏序理论在有限维欧氏空间中解决了上述公开问题，在此基础上利用集值映射的η-预解算子，研究了广义集值变分包含问题解的存在性、逼近解的全局误差界、参数唯一解的灵敏性，并提出了一类变参数三步迭代算法；二是借助于图收敛理论研究了一般集值变分包含问题解集的凸性、闭性和有界性以及参数解集的灵敏性；三是用分析的方法直接讨论了集值混合拟类变分不等式问题解的存在性并提出了一类求解广义集值变分包含问题的直接变参数三步迭代算法。

OSB production line,Particleboard production line,MDF production line,HDF production line,Plywood complete set of Equipment,Composite panels complete set of Equipment,HF Bending wood complete set of Equipment,Blockboard production line,Artificial board cover complete set of Equipment,Bamboo Filaments floor complete set of Equipment,Bamboo board complete set of Equipment,Bamboo mat complete set of Equipment, Composite pallet board tray machine.

复合板生产线、胶合板成套设备、刨花板OSB成套设备、细木工板成套设备、贴面成套设备、纤维板成套设备、竹地板成套设备、模压托盘设备。

Infinite-dimensional optimization studies the case when the set of feasible solutions is a subset of an infinite- dimensional space, such as a space of functions.

组合优化问题是有关的一套可行的解决办法是离散或可归结为一个独立的一个。

It will also be clear that if we take the domain to be an infinite set , then the result of the query will also be infinite.

如果我们采用域为无限集合，则查询的结果也会是无限的，这是很明显的。

In a compact system, the limit set of a point can b e countable or uncountable .

紧空间上的动力系统中一点 x的极限集可能是可数的也可能是不可数的。

That is, direct search methods for unconstrained optimization depend on the objective function only through the relative ranks of a countable set of function values.

那就是说，无约束优化的直接搜索法仅仅依赖于通过可数集的函数值的相关阶的目标函数。

We show that there are 'many' compacta admitting completely scrambled homeomorphisms, which include some countable compacta, the cantor set and continua of arbitrary dimension.

并说明了"许多"紧度量空间其上存在完全混沌的系统，这些空间包括一些可数的紧度量空间、康托集和任意维的连续统。

So it was last week in Selma , alabama.

上星期在亚拉巴马州塞尔马市发生的事件也是这样一个转折点。

The group also spearheads various social programs in China.

该组织还带头参与中国的各种社会活动。