二维的

A C++ program is developed for composing the stiffness matrix of the temperature field, saving it in changing bandwidth method and calculating the linear algebraic function group through using the Gauss eliminating method. A module for drawing the color fringe of tire temperature field is created, which makes the result more visual. Taking the 9.00-20 cross-ply tire on CA1092 as an example, the finite element numerical simulation analysis of automobile tire 2-D steady temperature field is completed. Through comparing the result with the analysis data by ANSYS, this software is proved to be capable of the modeling, calculating and post-processing of FEA of automobile tire 2-D steady temperature field.

采用C++语言完成了温度刚度矩阵的总体合成及其一维变带宽存贮，以及线性代数方程组高斯消去法求解等工作，采用C++语言实现了汽车轮胎二维稳态温度场云纹图的绘制，使得计算结果更加直观，也更能形象地显示汽车轮胎二维稳态温度场的分布状况，以CA1092（原CA142）五吨载货汽车用9.00-20尼龙斜交胎为例，进行了汽车轮胎二维稳态温度场有限元数值仿真分析，通过与ANSYS分析结果进行比较，说明所开发的有限元建模、求解以及后处理软件能够用于汽车轮胎二维稳态温度场有限元分析。

This paper focuses on the construction of true bidimensional wavelets by lifting scheme and the relevant image coding. We research the nonseparable bidimensional interpolator designed by different standards, carry out the true bidimensional wavelet decomposition and improve the SPIHT coding in order to adapt to the characteristic of true bidimensional wavelet decomposition. It is proved by experiments that the subjective and objective quality of binary tree SPIHT on true bidimensional wavelet decomposition is better than famous 9/7 wavelet under the condition of low bits compression.

本文以基于提升格式的纯二维小波滤波器组的构造为中心，研究了不同类型的二维不可分离内插滤波器，实现了图像的纯二维小波分解，并改进了SPIHT编码算法，使其适合纯二维小波的分解特点，实验证明在低比特压缩下，纯二维小波分解的二叉树SPIHT在主观和客观质量上要好于著名的9/7小波。

We proposed the simplest structure of 2-D bilinear transformation digital circuit, we proposed four approaches of the realizations:(1) Realization of 2-D discrete domain difference equations;(2) 2-D FFT realization;(3) Digital hardware implementation;(4) by 2-D recursive digital structure to realize them.

在第七章，我们则重点研究了二维数字滤波器的实现问题。我们对第六章提出的2-D双线性变换电路又作了进一步的简化，获得了一种最简结构的二维双线性变换数字电路，该电路仅有二个延时器和一个乘法器。在第七章里，我们提出了二维跳耦型数字滤波器的四种实现方法：(1)二维时域差分方程实现；(2)二维FFT实现；(3)数字硬件实现，(4)用2-D递归数字结构实现。

To summarize two-dimensional non-normal joint distribution in use, such as Bivariate Weibull Distribution, Bivariate Log-normal Distribution, Bivariate Gumbel Distribution, and Bivariate Gamma Distribution.

归纳总结了已经出现的非正态二维联合概率分布模型，如二维威布尔分布、二维对数正态分布、二维冈贝尔分布及二维伽玛分布等。

In view of the demand of computerized eye-glasses-wearing system, an approach to match two dimensional (2D) human head images with 3D glasses frame graphics in 3D space has been proposed. First, the operator points out three or six key points, which are used to locate 3D eye-glasses frame, on the human face image displayed on the computer screen interactively.

论文针对计算机化眼镜配戴系统的要求，提出了一种在三维空间匹配二维人头图象和三维眼镜图形的方法，即通过人机交互方法，由操作者在显示于计算机屏幕上的二维人头图象上，指出确定三维眼镜位置的三个或六个关键点的二维坐标及其三维对应点，从而可以近似求出人面朝向及视点坐标，再用相应位置上的三维通用人头图形替换二维人面图象，计算人面和眼镜间的遮挡关系并显示，从而完成二者的空间匹配。

This paper analyzes the property of FNT, the characteristics of Kernel Matrixes and the relationship between Kernel Matrixes of two-dimensional Fermat number transform whose modulus are odd prime and image data, and presents and proves the deduction of the theorem which demonstrates the relationship among different transform matrixes corresponding to different roots of unity under the same odd prime modulus of FNT, and reveals the essence of FNT whose modulus are odd prime.

分析二维Fermat数变换性质、正反变换核的特点、二维模为奇素数的二维Fermat数变换正反变换核以及与图像数据的关系，提出了不同单位根对应变换矩阵间的关系定理的推论，证明了该推论中模为奇素数的二维Fermat数变换的不同单位根对应的变换矩阵之间的关系，揭示了模为奇素数的二维Fermat数变换的本质，在构造离散图象数据Fermat数变换时为单位根的选择奠定了理论基础。

Firstly, we collected and sorted out the GPS data, established the uniform velocity field for the Chinese mainland and the surrounding regions, and the horizontal deformation field relative to the Eurasia plate; Secondly, we established a motion model for the entire rotation and homogeneous strain of the first and second level blocks in Chinese mainland, analyzed the motion pattern and strain behavior of active blocks in Chinese mainland, as well as the motion pattern of principal fault zones in Chinese mainland; Thirdly, considering the heterogeneity of strain distribution inside a block and supposing that the strain tensor inside the block is the linear function of location, we derived and established an equation for the entire rotation and linear strain of block and a motion model for the entire rotation and linear strain of principal blocks in Chinese mainland; We also calculated the principal strain field and the maximum shear strain field in Chinese mainland and the surrounding regions, analyzed the basic characteristics of strain field in Chinese mainland, as well as the relationship between the spatial distribution of strain field and large tectonic zones; Finally, we established the 2-D geotectonic model and digital model for Chinese mainland and the surrounding regions, calculated the stress field in Chinese mainland and the surrounding regions, and analyzed the basic features of stress field in Chinese mainland and the principal driving force for the motion and deformation in Chinese mainland.

收集整理了已有GPS资料，建立了中国大陆及周边地区统一的速度场以及相对欧亚板块的水平形变场；建立了中国大陆一、二级地块整体旋转与均匀应变的运动模型；分析了中国大陆活动地块的运动状态，应变状态，以及中国大陆主要断裂带的运动状态；考虑到一个块体内部应变张量空间分布的非均匀性，假设块体内部的应变张量是位置的线性函数，推导建立了块体整体旋转与线性应变方程，建立了中国大陆主要地块整体旋转与线性应变的运动模型；计算了中国大陆及周边地区的主应变场与最大剪应变场，分析了中国大陆应变场的基本特征，以及应变场的空间分布与大型构造带的关系；建立了中国大陆及周边地区二维的地质构造模型和数值模型，计算了中国大陆及周边地区的应力场，分析了中国大陆应力场的基本特征以及中国大陆运动、形变的主要驱动力。

By the numerical analysis of the ultimate bearing capacity of two- and three-dimensional footing under combined loading mode, the results show that the effect of alteration of underground water lever on bearing capacity of three-dimensional foundation is more than on that of two-dimensional foundation, the effect of soil gravity on bearing capacity of three-dimensional foundation is more than that of two-dimensional foundation. At the same time, the numerical calculation process of ABAQUS indicates that whether the geostatic stress is balanced or not has great effect on the numerical convergence. In view of the effect extent of dilation angle of soil on the ultimate bearing capacity and the failure pattern of foundation, the condition of two-dimensional plane strain is higher than that of the three-dimensional foundation.

复合加载模式下，通过对三维矩形基础和二维条形基础进行数值分析，结果表明：黏性土地基中地下水位的变化，对三维矩形基础极限承载力的影响程度高于对二维条形基础的影响；在求解地基极限承载力的过程中，土体重度对三维矩形基础的影响明显高于对二维条形基础的影响，同时ABAQUS数值计算过程表明，地基土体地应力能否合理平衡，对数值求解过程中是否收敛有很大的影响；就土体剪胀角对地基极限承载力的影响程度而言，二维平面应变情况下土体剪胀角对极限承载力的影响比三维情况下的影响更明显，即土体剪胀角对条形基础极限承载力的影响高于三维矩形基础。

The book said:"gossip Yang Yao '-' and Yin Yao '--' 3 overlap in the form of something to 'number of days''days of the system' has the meaning" and cited "days Sanko, Sun Moon Star"( Ban Gu,"Bai Hu Tong · Feng Gong Hou") certificates. This argument is also wrong: the ancient's "days" refers to an astronomical count one and not confined to Sun Moon Star Sanko.

在《易经》和阴阳八卦学理中，&阴阳两仪&指的是天、地或阴阳二性、阴阳二气均不是&线&，&四象&指四时、四方或老阴、老阳、少阴、少阳四种属性，&八卦&指八种基本物质天、地、水、火、雷、风、山、泽，&六十四卦&及其三百八十四爻可以象征和指代万事万物，均处于四维时空中，而并无一维、二维、三维、六维之别。

Robust stability of uncertain two-dimensional (2-D) polynomial family, including polytopes of 2-D polynomials, interval 2-D polynomial family,diamonds of 2-D polynomial family, depends on that of the edge polynomials of the families.

不确定二维多项式簇，包括多胞形二维多项式簇，区间二维多项式簇，钻石形二维多项式簇，其鲁棒稳定性可由其棱边多项式的稳定性确定。

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。