二维分布

At the same time, it introduced the form of a binomial distribution --- a number of promotional distribution, which is a typical form in the distributed multi-dimensional discrete random variables and it's widely used in engineering and technology.

同时介绍了二项分布的一种推广形式---多项分布，该分布是多维离散型随机变量中的典型形式，在工程技术中有广泛的应用。

The discrete velocity ordinate method in the kinetic theory of gases is developed and applied to discretize the correspo

借助非定常时间分裂法和无波动无自由参数的NND耗散格式，建立直接求解微观分子速度分布函数的有限差分数值格式；研究并发展可用于离散速度坐标点选取和离散速度空间宏观取矩的高斯─埃尔米特无穷积分方法、等均间隔的牛顿─柯斯复合积分法、以勒让德多项式的根为积分结点的高斯─勒让德数值积分法，并应用于不同马赫数绕流模拟；通过对不同流域一维激波管问题、二维圆柱绕流问题和三维球体绕流的计算研究，并将计算结果与其他途径得到的研究结果诸如DSMC模拟值、N-S解及有关实验数据进行比较分析，创建了一套能有效模拟稀薄流到连续流不同流域气体流动问题简化的统一数值算法研究框架

While the experimental side force distribution over a slender body with a blunt ogive nose is basically consistent with the curve of the analogy predicted, and the characteristic points and half cycle of the experimental curve are basically constant with the roll angle changing 360°. But the local maximums in the curve are not the results as the analogy predicted, which is an important flow feature of 3-D slender body than that of 2-D cylinder.

而钝头拱形细长体在大迎角下的截面侧向力分布与脉冲起动横流比拟方法预测的侧向力曲线的形状是基本相同的，而且随着滚转角旋转360°，截面侧向力分布曲线的特征点和半周期基本保持不变，即它们都基本上不受滚转角变化的影响；但是截面侧向力分布曲线极值点形成的原因却是不同的，这是细长体绕流区别于二维圆柱绕流的一个重要特性。

By time-varying filtering, we realize the signal selectivity and interference suppression, especially for the signals with time-varying power spectrum. It is shown herein that conventional eigenstructure based methods are lower dimensional special case of the time-frequency subspace fitting method. The closed-form array response estimation algorithms for blind source separation in wireless communication is also developed in the dissertation by exploiting the data structure of second-order statistics of the array output in the presence of multipath. The proposed method achieves array response estimation with little constraint on signal property and propagation environment such as scatters or angular spread. Moreover, the array utilized here can be of arbitrary geometry and even uncalibrated. Since the closed-form solution is obtained, no misconvergency may occur and large amount of computation can be saved. The equivalent feed model and corresponding optimization designation are proposed to realize the downlink multi-user selective transmission. By coherent and non-coherent superposition of the electromagnetical field, multiple beams can be formed using a single array, so that each co-channel user signal is transmitted in each beam and will not interfered with each other. The proposed system scheme implements the digital beamforming and the channel allocation in the base band, therefore is suitable for the utilization of the radio software technology. The feasibility and effectiveness of the proposed model are proved by the RF experiment.

在窄带条件下，GSC－SSF方法还可以提高阵列的虚拟孔径，从而提高估计的性能；可以证明，Cyclic DOA 和SC-SSF方法可看作该方法的特例或近似； 3、提出了二维GSC－SSF方法和宽带谱相关DOA矩阵方法，利用信号的循环平稳特性解决了宽带条件下二维 DOA 估计问题，并具有阵元数少、计算量较小的特点； 4、提出了时频子空间拟合和宽带时频DOA估计算法，将联合时频分析的理论和方法引入到阵列信号的空间谱估计研究中，利用时变滤波实现信号选择性测向和干扰抑制，特别适合于谱时变信号；可以证明传统特征结构法可看作是时频子空间拟合方法的特例； 5、提出了多用户环境下阵列响应的估计方法——CARE方法，该方法对信号结构和传播参数（主要是散射源分布与角度散布）的约束较少，适用于各种几何结构的阵列甚至未校准的阵列，能够直接得到阵列响应的闭式解，因此计算量小、稳健性好，不存在收敛问题； 6、提出了针对多用户下行选择性发送的阵列等效激励模型、优化设计方法及其系统实现方案，通过空间场的相干叠加与非相干叠加使得单一阵列能够形成多个波束，并保证各波束内的用户信号各不相同且相互干扰最小；其系统方案具有在基带实现数字波束成形、信道分配并便于软件无线电实现的特点，其有效性已得到外场实测数据的证实。

The method utilizes petrographical information obtained from two-dimensional thin sections to stochastically reconstruct the 3D model of a stone sample by the theories and techniques of image processing and mathematic morphology.This paper compares quantitatively the reconstructed microstructures...

这种方法利用从二维薄片取得的岩相学图象信息，用图象处理理论技术和数学形态学的方法生成了岩石的三维模型，对重建的三维微观结构和实际砂岩的表面细微结构进行了定量比较，比较显示，这种重建方法得到的三维模型孔隙率与原始图象基本一致，其水平面/纵切面/横切面上的颗粒长径分布与实际岩石有较好的相关性。

The non-uniform channel impurity, the non-equal surface potential for the changing of balance energy band and the gate capacitor by the edge effect is thought about; the mathematics expression of the deep sub-micron non-uniform channel DMOS threshold voltage model is obtained.

计及沟道区杂质的二维非均匀分布、平衡态能级对沟道各点表面势的影响和栅电容的边缘效应，给出深亚微米DMOS的阈值电压二维解析式。

PIC result shows that the alteration of spatial potential in the discharge space directly affected the distribution of the charged particles, it is just the fluctuation of potential distribution caused the density distribution of the charged particles, thus an alternating-electric field formed in the plasma space.

采用二维PIC-MCC方法对氮气对称结构射频放电进行了模拟研究，粒子模拟结果表明：放电空间内空间电势的变化直接影响了带电粒子的分布，正是电势分布的波动使得带电粒子的密度分布也出现了波动。等离子体空间内形成了交变电场。

Some important properties of bivari ate distributions with specified marginals are discussed. It includes the study of correlation measures for this typical distributions.

首先，针对已知边际分布的二维联合机率分布的特性予以分析，并探讨此类联合机率分布的相关程度衡量指标。

In this paper, we present a wave theory based rendering technique: light wave field rendering, by combining wave graphics, Fourier optics, computational holography and the existed image based rendering techniques. In light wave field rendering, a 3D wave field is represented by one or more wavefronts which are stored as 2D arrays of complex numbers.

本文结合波动图形学、计算全息学和傅立叶光学等研究领域的相关技术，将波动的概念引入光场绘制过程，根据定态光波场的解析特性，使用平面或封闭曲面波前上的二维复振幅分布，来表示无源空间中三维的光波场，提出了一种基于光波场的绘制技术，用于三维物体的视点无关绘制和立体真实再现。

We present our Monte Carlo results of the random-bond Potts ferromagnet with the Olson-Young self-dual distribution of quenched disorders in two dimensions.By exploring the short-time scaling dynamics,we find the universal power-law critical behavior of the magnetization and Binder cumulant at the critical point,and thus obtain estimates of the dynamic expontent z and magnetic exponent η,as well as the exponent θ.Our special attention is paid to the dynamic process for the q=8 Potts model.

以蒙特卡罗模拟方法对自对耦分布二维随机链q态Potts模型的短时临界行为进行了数值研究，利用初始非平衡演化阶段存在的普适幂指数和有限体积标度行为，数值模拟了在不同形式随机分布时q=3和q=8态Potts模型磁临界指数η和动力学临界指数z，计算结果发现η不依赖于自对偶无序分布的具体形式，从而以数值方法给出了一个关于淬火掺杂自旋系统的临界普适行为的验证。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新