离散分布

The spatial distribution of intra-node flux and source were approximated by a new orthogonal quadratic polynomial expansion, and a second-order polynomial provided the spatial expansion of transverse-leakage. The neutron angular distribution of flux and transverse-leakage were represented by the S quadrature set.

节块内横向积分通量、中子源的空间分布使用新的正交二次多项式近似；横向泄漏项的空间分布使用二阶多项式近似；中子通量和横向泄漏的角度通过离散纵坐标S

For the first time, from mathematics approach, the prior probability distribution of risk analysis was derived by the use of POME in two cases that were discrete and continuous information source.

首次分离散信源和连续信源两种情况，从数学途径阐述了POME在确定风险分析先验概率分布中的应用，以确定几种常用分布及估计其参数为例加以了解释。

For the first time, based on POME, two weighted generalized distances were defined to build up two fuzzy, which used relative membership degree, and optimal models for evaluation of water environment, considering both the randomness and the fuzziness.

首次分离散信源和连续信源两种情况，从数学途径阐述了POME在确定风险分析先验概率分布中的应用，以确定几种常用分布及估计其参数为例加以了解释。

Distribution free statistical procedures or methods valid under nonrestrictive assumptions: basic tools; counting methods; order statistics, ranks; distribution free tests and associated interval and point estimators; sign test; signed rank tests; rank tests; Mann Whitney Wilcoxon procedures; Kolmogorov Smirnov tests; permutation methods; methods for discrete data with zeros and ties; computer techniques and programs; discussion and comparison with parametric methods.

非参数统计引论：无限制性假定时的无分布统计方法：基本工具，计数法，顺序统计量，秩，无分布检验与关联的区间估计和点估计，符号检验，符号秩检验，秩检验， Mann Whitney Wilcoxon 检验； Kolmogorov Smirnov 检验，排列检验法，含有零值和同分值的离散数据的处理方法；计算技术与编程，与参数方法的比较。

Distribution free statistical procedures or methods valid under nonrestrictive assumptions: basic tools; counting methods; order statistics, ranks; distribution free tests and associated interval and point estimators; sign test; signed rank tests; rank tests; Mann Whitney Wilcoxon procedures; Kolmogorov

非参数统计引论：无限制性假定时的无分布统计方法：基本工具，计数法，顺序统计量、秩，无分布检验与关联的区间估计和点估计，符号检验，符号秩检验，秩检验， Mann Whitney Wilcoxon 检验； Kolmogorov Smirnov 检验，排列检验法，含有零值和同分值的离散数据的处理方法；计算技术与编程，与参数方法的比较。

The electronic structures of Dawson anion(S2Mo18O62)4- have been calculated by the discrete variational method coupled with the first principal density functional theory.And the comparison with Keggin anion(SMo12O40)2- has been made.The results show that the electrons delocalize around the all anion.But the difference of the electronic distributi on of polar and equator sites exists.

使用第一原理密度泛函理论中的离散变分方法对（S2Mo18O62）4-的电子结构进行了理论计算，并与Keggin结构（SMo12O40）2-的电子结构作了比较分析，结果表明，（S2Mo18O62）中的电子离域地分布在整个阴离子骨架中，但极位和赤道位原子的电荷分布有明显差异。

In chapter Ⅰ, a historial review of structure control is given; In chapter Ⅱ, A discussion of the controllability and observablity of flexible structures is given, Two kinds of controllability and observablity index are defined, and applied to actuator allocation; chapter Ⅲ considers the reduction of high order flexible structure mode; the content of chapter Ⅳ is about the basic problem of distributed parameter control system design. It is proved that a stable controllor in mode space may be unstable in real use in distributed paramater systems, also, by closed loop mode concept, a pole assignment method of flexible structure controllor design is given; chapter Ⅴ is about the low-authority controllor design, it is pointed out by use of high order eigenvalue/eigenvector perturbation, a better controllor can be designed; chapter Ⅳ considers flexible structure reduced order control; chapter Ⅶ disscusses the basic problem of flexible structure computer control, analyses discreate controllablity and observablity and its computing, the sample period and coefficient wordlength; chapter Ⅷ is on the problem of low flexibility compensation; chapter Ⅸ is a design example.

在第一章简要回顾了挠性结构控制的历史，并且指出控制中的一些问题；第二章讨论了挠性结构的能控性与能观性，定义了两类能控性程度和能观性程度指标，还将能控性程度概念应用于执行器位置的确定；第三章论述了高阶模型的降价问题，比较了适于挠性结构模型降阶的方法，指出其适用范围；第四章内容是分布参数系统设计的基本问题，首先证明在模态空间中设计的稳定的控制器在实际分布系统上可能是不稳定的，进而根据闭环模态的概念，获得挠性结构控制器设计的极点配置方法；第五章的内容是关于低权控制器的设计问题，指出利用特征值高价摄动和特征向量的摄动，可以设计出更加完善的低权控制器；第六章讨论挠性结构降阶控制问题；第七章讨论挠性结构计算机控制的基本问题，分析了时间离散化模型的能控性和能观性及其计算问题，讨论了采样周期选择和系数字长问题；第八章讨论低挠性结构的补偿问题；第九章的设计例子用来说明第二章和第四章的结果。

CFD-fluent simulation software and measurement are applied to establish the math models of exhaust gas concentration distribution and boundary conditions. Finite volume methods and PISO are used to solve the differential equations of exhaust gas distribution in a kitchen. After the adjustment and comparison with those from the practical measure, the simulation results of CO2 and CO concentration distributions accord with experimental ones.

运用CFD-fluent模拟软件和实测相结合的方法，建立废气的浓度和扩散分布的数学模型与边界条件，利用数值分析法中的有限体积法和PISO算法对厨房内废气分布的微分方程进行离散和求解，对模拟结果进行校正并与实际测试结果进行比较。

The signals during transformer impulse test are considered to be evolving in time, also is non-stationary signals, so we can design a software algorithm for noise reduction based on discrete Gabor transform, and the basic principle is: The Gabor coefficients of Effective signals during transformer impulse test is centralized in the time frequency range, and the peak-to-peak value is big, whereas the noise Gabor coefficient distribute in the entire time frequency range equally, the peak-to-peak value is small, we can realize the desired signal and the noise separated through frequency mask function.

考虑到冲击试验中的信号都是时变信号，也就是非平稳信号，因此设计了一种基于离散GABOR变换的软件滤波算法对冲击信号进行滤波，其滤波理论依据是：有效信号的Gabor系数在时频域分布比较集中，幅值比较大，噪声的Gabor系数均匀分布于整个时频域，幅值较小，通过构造时频掩模函数来实现有效信号与噪声的分离。

To avoid re-execution of the whole simulation system on condition that some nodes oragents are invalidated, a distributed simulation scheme with fault-tolerant mechanism isproposed, including fault classification, fault detection, the fault-tolerant extension of distributedsimulation algorithm, and dual global service agents. With the prevalent of the Internet and Web, it is necessary to provide ways to interact withthe simulation applications remotely, such as controlling the process of simulation and showingthe results of simulation via navigators.

为了避免个别结点或者Agent的失效，而导致整个仿真过程需要重新进行，在本文中，提出了具有容错能力的复杂系统仿真解决方案，包括对分布仿真中的故障进行分类、故障检测方法、对层次的、混合分布并行离散事件仿真算法进行了容错扩展以及采用双全局服务Agent等。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。