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The methods split the operator to the sum of two maximal monotone operator and in each iteration one has to compute the resolvent of one of the operators.

针对此问题，求解极大单调算子的零点的另一个常用算法-分裂算法，将原来的算子分裂为两个算子之和，在每一步迭代中，只需求出其中一个算子的预解式。

In addition, we also give the characteristic of uniformly integrable martingale in the rearrangement invariant martingale space and the relationship between one martingale and the accompanying martingale associated with it which is particular in the rearrangement invariant martingale space under the action of some most important martingale operators such as maximal operator, square operator, the greater operator and the smaller operator.

此外我们还考虑了重排不变鞅空间中的鞅是否一致可积的特征以及极大算子、均方算子和上、下算子在重排不变鞅空间及其相伴鞅空间上作用的特殊性质。

The existence of the minimal and maximal fixed points for order preserving set-valued operators on semi-ordered sets and semi-ordered topological spaces was analyzed.

讨论了半序集和半序拓扑空间中保序集值算子的最小与最大不动点的存在性。

Fourthly,in the UMD spaces,the tree martingale transforms and their maximaloperators are defined,and then based on the geometrical property of UMD spaces andcombining new interpolation techniques of Hardy-Lorentz spaces,the inequality ofUMD space valued tree martingale transform maximal operators is obtained.

然后，在UMD空间中，我们定义了树鞅鞅变换及其极大算子，并用UMD空间几何性质和Hardy-Lorentz空间的算子插值理论证明了UMD空间值树鞅鞅变换的极大算子不等式。

Finally,the inequality of maximal operators of tree martingale transformsis applied for obtaining the UMD space valued Vilenkin system and the sum ofVilenkin-Fourier series of UMD space valued Vilenkin system is convergent a.e.or convergent in LP-norm.

最后，应用UMD空间值树鞅鞅变换的极大算子不等式，我们获得了UMD空间值Vilenkin系统以范数收敛和几乎处处收敛定理，即Carleson定理的扩展。

Mechanize where justified to maximize production and storage density and to assist operators in performing complex tasks.

如果有理由机械化生产，最大限度地提高存储密度，并协助经营者执行复杂的任务。

In designing the immune operators, the operator for building the normal model of the artificial immune system is proposed, and the data of the normal model are added into the set of space-time properties in the self memorizer.

在免疫计算新模型的免疫算子设计方面，提出了所述人工免疫系统的正常模型构建算子，将正常模型的数据添加到自体存储器的时空属性集合中。

However, most players will not be a miracle to leave because operators know that the ashes of the old psychology, no matter how much they cost, they will play a miracle.

但大多数奇迹玩家不会因此而离开，因为运营商知道这些老骨灰的心理，不管花多少钱，他们都会玩奇迹。

Additional thanks also go to our Turkish mirror site operators for submitting the above mouseover image.

请将您的滑鼠移至影像上，观看来自土耳其镜像网站的生日祝福。

As expected, the results show that GA cannot identify the high order building block problems. Also, the problem for mixing and juxtaposing of building blocks is analyzed. The study suggests that simple selection and crossover require the help of additional operators if fast, efficient processing is desired.

由Holland首先提出的基本遗传算法是研究最为广泛的进化计算算法之一，其基本理论依据是模式定理和"构造块"假设理论，但理论和应用表明GA中的重组操作常造成构造块破坏，导致算法容易早熟逼近局部。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。