多函数

It also gets a unified condition which has a wider range than regulated function and comes to the conclusion that the function of bounded variation is the integrable function of Riemann.

通过定义多维零测度集将可积函数的特征扩展到多维情形，同样统一了多维情形的充分条件，建立了多维情形的可积性理论。

The Scheutjens - Fleer model on monodisperse polymer adsorption was extended to the situation of polydisperse polymer adsorption by the method of seeking the extremum of the partition function constructed for the system.

采用构作配分函数而后求极值的方法，将Scheutjens-Fleer模型推广到多分散高分子吸附情形，并采用适当的计算方法，解决了长期以来人们难以解决的多分散高分子模型计算上的困难，研究了固液界面区域多分散高分子的微观吸附行为、多分散指数对吸附层性质的影响以及各种微观构象的链段大小的几率分布。

It expands Lebesgue characteristic of integrable function of Riemann through the definition of gather zero measure and builds up the theory of many integral calculus.

通过定义多维零测度集将可积函数的特征扩展到多维情形，同样统一了多维情形的充分条件，建立了多维情形的可积性理论。

The lexicographically stratified method for multi-object optimal electric power network planning is presented according to the problem encountered in the research on multi-object electric power network planning.

针对目前研究大规模多阶段多目标电网规划遇到的问题，提出了多目标电网规划的分层最优化方法，使得计算量大幅度降低，避免了多目标函数处理的困难；同时提出的改进最优切负荷模型更易于计算缺电成本，使可靠性指标转化为经济性指标时方便实用，算例证明了本文算法的有效性。

In order to solve the problem that the Multi-objective Evolutionary Algorithm used in reactive power optimization currently has the shortcomings of time consuming computation, poor orientability and applicability,a ε-omination based MOEA was applied in reactive power optimization.According to different significance among objective components, an adaptive ε-omination was created and relevant post-evaluation fuzzy logic controller was established to select solution.

针对多目标无功优化方法存在寻优时间过长，优化结果针对性不强以及难以实现自动实时控制的问题，将一种基于ε-支配域的多目标进化算法应用到多目标无功优化的求解中，根据多目标模糊评价函数各目标分量的不同重要程度，构建出自适应ε-支配域，生成相应的后评价模糊控制器以实现优化结果的智能选择。

For the coordination of multiple agents in noncooperation environment, we considered the learning aim as finding a Nash equilibrium strategy through in learning function taking other agent's actions into account. Therefore, we expended the single agent Q-learning algorithm into multiagent Q-learning algorithm. In addition, we proved the convergence of multi-agent Q-learning algorithm under certain general sum stochastic game architecture for only one Nash equilibrium or multiple same Nash equilibrium.

对于非合作环境下的多智能体协调我们通过在学习函数中考虑了智能体的联合行动，提出把学习目标作为求取一个Nash平衡点策略，这样将单智能体Q-learning算法扩展到多智能体的Q-learning算法；证明了在一定的一般和随机对策结构下具有一个或多个相同Nash平衡点条件下多智能体Q-learning算法的收敛性。

As to the reasonable matching between the resources needed by multi-task and M-dimensional resources offered by multiprocessing nodes, the author offered multiple dimension set partitioning optimization models, defined the function of resource balancing degree and proposed a Multiple Dimension Set Partitioning Load Balancing Resource Optimization Allocation Algorithm, which can optimize to solve the NP problems.

针对多处理群集系统中多个任务处理需要的资源和多个处理节点能够提供的m维资源间的合理匹配问题，给出了多维集合划分问题的优化模型，定义了资源均衡度函数，提出多维集合划分负载均衡资源优化分配算法，通过该算法可以得到资源匹配NP问题的较优解。

A recursive matrix method is adopted for computing the magnetic-current-source dyadic Green′s function in anisotropic media. The response of multi-component induction logging in layered and deviated anisotropic formation is simulated by using the obtained dyadic Green′s function. The influence of coil spacing, bed thickness, deviation angle and shoulder bed on the response is analyzed.

采用递推矩阵方法计算各向异性介质的磁流源并矢Green函数，并利用上述并矢Green函数对层状各向异性倾斜地层中多分量感应测井的响应进行数值模拟，分析了线圈距、层厚、倾角和围岩对多分量感应测井响应的影响。

In NWFM,to solve self-consistently the set of DFT Kohn-Sham equations,nuclear weight function is employed for numerical solution of multicenter integra-tion,which decomposes the problem of three dimensional integration to a sum ofone-center,atomic-like integrations.

首先介绍如何利用线性组合的原子轨道方法求解密度泛函理论中的K-S方程；接着详细地说明了核权重函数的概念，并列出了两种常用的核权重函数形式，同时阐述了如何利用核权重函数求解包含多中心积分的矩阵元以及复杂的三维泊松方程以获得电子间库仑势的方法；然后给出了求解矩阵元、有效势以及体系总能的具体数值计算公式。

The analysis for the relationship between the balance of quadricphase oversampled chaotic map sequence and sequence length and oversampled parameter p was given by using this function.

针对平衡度函数只能考察二值序列平衡性的问题，提出了可以考察多值序列平衡性的序列最大平衡差函数，利用该函数分析了四相OSCM序列平衡性分别与序列长度和过抽样参数p的关系。

And discuss some key point of integrated management system design, include hazard identification and risk assessment and risk control in the occupational health and safety management, the measure of satisfaction target of customer, the flawlessness of law system, the integration of the integrated management system and enterprise standardization system, unify lead institution and work orgnization, integreted internal audit and integrated management review.

同时，论述了一体化管理体系构建中的几个主要问题，包括职业健康安全管理中的危险源辨识、风险评价和风险控制、顾客满意度的科学监测、法律、法规体系的完善、一体化管理体系与企业标准化体系的有机结合、统一的领导机构和工作机构、一体化的内部审核和管理评审。

Deepwater Taranaki is investigated for its petroleum potential, using all available seismic data tied to shallow-water wells.

运用与浅水井相关的现有全部震波探测数据考察了深海区塔拉纳基盆地的油藏前景。