二维分布

Coefficient distribution of the APIDCSF is similar to that of circular quincunx Neville filter and its interpolating performance outperforms the Neville filters with high orders vanishing moments.The aim of bidimensional interpolating is to diminish the error between the true value and the estimated one.

二维内插的质量是以预测值与真值之间的误差来衡量的，按照最小均方误差的准则，利用二维自相关函数模型和环形内插滤波器的系数分布特点构造了最小均方误差意义上的环形最优内插器，实验证明了全相位离散反余弦内插器近似于最优内插器。

With experience gained from the Finite Element method, a quasi-linear model based on the Magnetic Equivalent Circuit method has been used to obtain the static torque of the motor. Three types of magnetic tubes are employed in the model, and through the exchange principle of magnetic lines of force and magnetic equipotential line, the tube in which the flux distribution is non-uniform is applied to the model.

通过分析电机二维磁场分布和考虑电机特殊的电磁结构，提出了用三种磁通管单元来近似磁场分布，并借用磁力线和等磁位线互换的方法，将磁力线分布不均匀的磁通管引入到分析模型中，有效的处理了平动式啮合电动机中的磁场分布不均匀和磁路局部饱和，使分析模型得到简化并兼顾了求解精度。

Firstly, according to electromagnetic field theory, the 2-dimensional (2-D) mathematical model of a three phase squirrel-cage Y802-2 induction motor is developed. Then general equations can be deduced from finite element discrete and functional analysis. The motor's 2D solving region of electromagnetic field is given based on the boundary conditions and assumption conditions of the squirrel-cage induction motor. Through finite element mothod and inner–outer convergence method, magnetic field distributions and magnetic forces of bars can be calculated in following rotor conditions: health rotor, one single broken bar, two adjacent broken bars, two broken bars with one good interval, two broken bars with two good interval and four adjacent broken bars.

本文首先根据电磁场理论建立Y802-2型三相笼型感应电动机二维电磁场的数学模型，并对其进行了有限元离散以及泛函分析，推导出总体方程；在基本假设和边界条件基础上，给出笼型感应电动机二维电磁场的求解区域，然后应用有限元并结合内外双收敛方法，对样机稳态运行进行数值计算，得出电机在转子完好、一根导条断裂、连续两根导条断裂、间隔一根两根导条断裂、间隔两根两根导条断裂及连续四根导条断裂六种情况下的磁场分布和导条所受电磁力的变化情况。

Based on the 2-D distribution of channel impurity, the distribution of 2-D electric field and 2-D interaction potential, which is caused by the interaction between the ionized impurity in the depletion layer and radiation induced positive spatial charge, is analyzed by using image charge method. Resolving Poisson equation, the mobility expression of N-type and P-type non-uniform channel MOS and the mathematics expression of the threshold voltage model of DMOS are obtained.

基于沟道杂质的非均匀分布，借助镜像法导出非均匀沟道辐照正空间电荷和沟道中电离杂质的二维场及其作用，给出非均匀沟道DMOS器件辐照正空间电荷与沟道杂质的二维互作用势。

The main purpose of this study is to find the solution of the two- dimension irrotational flow and supercritical flow in channel contractions. For irrotational flow, the potential function is used to compute the water depth and velocity distributions in constriction channel.

本文的主要目的为分析二维渠道中非旋流及超临界流之流况，针对二维束缩段非旋流时，利用等势能函数来计算矩形渠道收缩段之水深及流速分布。

Suppose is two-dimension random variable, call the probability distribution of measure X marginal distribution on X for ; the probability distribution of measure Y

Definition 2.10 设是二维随机变量，称分量的概率分布为关于的边缘分布；分量的概率分布为关于的边缘分布。

Suppose is two-dimension random variable, call the probability distribution of measuremarginal distribution on for ; the probability distribution of measure Y marginal distribution on Y for .

Definition 3.6 设是二维随机变量，称分量的概率分布为关于的边缘分布；分量的概率分布为关于的边缘分布。

Suppose is two-dimension random variable, call the probability distribution of measure X marginal distribution on X for ; the probability distribution of measure Y marginal distribution on Y for .

Definition 设是二维随机变量，称分量的概率分布为关于的边缘分布；分量的概率分布为关于的边缘分布。

In Chapter 2,I consider a queuing system in which there are two exponential servers, each having his own queue, and arriving customers will join the two queues separately, and analyze the two-dimensional Markov process representing the numbers of jobs in the two stations. A functional equation for the generating function of the stationary distribution of this two-dimensional process is derived and solved through the theory of Riemann-Hilbert boundary value problems. In Chapter 3, I consider the system with two parallel queues, in which arrivals join the shorter queue.I describe the problem of coupling and show that the generating function Fcan be continued as a meromorphic function to the whole complex plane.

全文包括三大部分：第一章介绍了基本的背景、研究进展和文章主要采用的方法；第二章研究的是有两个服务员共享的简单的排队方式的模型，即每个服务员有各自的队列，两队队长互不相关，分析了代表两个队长的二维马尔柯夫过程，推导出了二维过程的平稳分布的母函数的方程，并运用Riemann—Hilbert边值问题理论解出了母函数的表达式；第三章研究的是JSQ-PS模型(the joining the shortest queue model with processor sharing)，模型是组合了加入最短队模型和处理器共享模型而成的有用排队模型。

Suppose is two-dimension random variable, call the probability distribution of measuremarginal distribution on for ; the probability distribution of measure Y marginal

Definition 3.6 设是二维随机变量，称分量的概率分布为关于的边缘分布；分量的概率分布为关于的边缘分布。

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