二维的

A 2D harmonic model based on the quaternion was constructed,and a special four-order cumulant was defined.

构造了合适的基于四元数的二维谐波模型，根据此模型定义了特殊的四阶累积量切片，分析了加性高斯在有色噪声中的二维三次非线性相位耦合。

Next, what have double input and variable of 2 dimension appearance in the light of a kind is nonlinear system, used opposite curvature concept and curve to design controller of contract of appearance of 2 dimension plane by basic theorem, the curve of contrail of appearance be accusinged that controller of contract of this kind of appearance can assure a system and referenced contrail curve have identical figure.

梗概： 针对一般控制系统，利用微分几何中的曲线理论提出了外形变量、被控外形轨迹曲线和外形合同控制等概念。然后，针对一类具有双输入及二维外形变量的非线性系统，利用相对曲率概念和曲线论基本定理设计了二维平面外形合同控制器，这种外形合同控制器能够保证系统的被控外形轨迹曲线和参考轨迹曲线具有完全相同的外形。

Further more, we get the necessary and sufficient conditions for the two-dimensional discrete system, where the permanence and extinction of the system are decided and only decided by the relationship of the non-delay coefficients in the system. Further, we for the first time find the equivalent permanence and extinction between the two-dimensional discrete Lotka-Volterra and its corresponding continuous system.

进一步，本得到了此类离散系统二维自治情形下，其持续生存和灭绝分别等价于系统非时滞系数构成的相应不等式；通过比较本文中二维自治Lotka-Volterra竞争系统的连续和离散两种情形的有关结论，首次发现这两类系统具有等价的持续生存和灭绝性质，建立了这两类系统之间的联系。

In this paper, we obtain a new result in view of the definition of the dependence of two dimensional discrete random variable, and give applications about it.

在二维离散型随机变量独立性定义的基础上，得到二维离散型随机变量独立的一个新的判断定理，并给出相关的应用。

In this dissertation we propose a set of fast algorithms for computing the DGFT (Discrete Generalized Fourier Transforms) over the hexagon domains and the parallel dodecahedron domains and give the parallel implementation on Linux clusters.

本文在理论上的主要贡献就是利用多色排序、区域分解和多重网格的思想，设计了二维三方向平行六边形区域和三维四方向平行十二面体区域上广义离散傅立叶变换的快速算法并给出它在PC Linux机群上的并行实现。

The computer separately connects and controls the I/O end and A/D converter; the I/O end connects and controls the X, Y axis driving circuit and the semiconductor laser; the X, Y axis step-by-step driving circuit connects and controls the X, Y step-by-step electrical machines to control the dimensional platform; the beam of the semiconductor laser passes through the focusing drawtube with 0.1mm diameter to form the facula with the diameter less than 0.1mm; the facula irradiates on the detector surface of the XY dimensional displacement platform to produce the corresponding electric signals; the detector surface connects the A/D converter through the amplifier; the electrical signal is amplified and is converted into the data signal by the A/D converter and is sent to the computer for processing.

由计算机分别连接并控制I/O端口和A/D转换器，I/O端口分别连接并控制X、Y轴步进电机驱动电路和半导体激光器，X、Y轴步进电机驱动电路分别连接并控制X、Y轴步进电机，从而控制二维位移平台，半导体激光器的光束经过设有直径0.1mm小孔的聚焦镜筒形成＜0.1mm直径的光斑，光斑照射于设在XY二维位移平台上的探测器表面使其产生响应的电信号，探测器表面经放大器连接A/D转换器，电信号经放大器放大后，由A/D转换器转换为数据信号送计算机处理。

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。

In Chapter 4, eight two- and three-dimensional non-interpenetrating open-networks having diverse sizes and shapes have been constructed with a potential tetradendate ligand hexamethylenetetramine and characterized by X-ray single-crystal structural analysis.

第四章描述了包括第一例由 m 4-hmt 配体形成的二维网络结构（配合物20）在内的八种具有各种形状的孔穴或通道的二、三维非穿插网络配合物的构筑与晶体结构。

First of all, the report introduced evolution, achievments and problems in the study of anisotropy in the inner of earth. The first-order hyperbolic system of equations is work out, which is used to describe the wave motion in 2D transversely isotropic media. Utilizing the characteristics of free-divergence, We have imposed MacCormack theme that is used to simulate multicomponent records in anisotropic media and have developed a fast high order vectorized finite-difference algorithm adapted for the vector supercomputer.

本文首先阐述了地球内部介质各向异性研究的沿革、成就和问题，接着给出了描述二维横向各向同性介质中波动的一阶双曲型方程，利用其自由发散特性，构制了各向异性介质中多波多分量地震记录数值模拟的MacCormack算式，导出了适用于并行计算的二维横向各向同性介质中波动的有限差分模拟算子，该算子具有可并行化计算、相位差小等优点。

The method transfers the observed data from space domain to 2-D space-time domain by exploiting the cross-correlation of the array outputs,and a large amount of virtual elements are generated through space-time processing.Therefore the constraint over the array configuration and the element identity can be significantly weakened,which means the matching subarray is no longer needed and the advantage of the traditional DOA matrix method,such as automatical parameter alignment and no need of 2-D search,is still available.

该方法在保持原DOA矩阵方法无需二维谱峰搜索和参数配对等优点的基础上，利用阵元输出之间的互相关关系将空域的阵列观测数据变换到时空域，通过空时二维处理在时空域中衍生出大量虚拟阵元，从而大大减弱了传统方法中对阵列结构、排布方式和阵元一致性的约束，不需要匹配子阵，无冗余阵元与孔径损失，并适用于阵元排列不规则的阵列。

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。