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This is interpreted to be the result of cooperative influence of grain—shape, equiaxiallization process, texture and deformation mechanism transition. A propose is made for Coble crecp dominated deformation that three dimensional rather than two—dimensional microstructure should be considered.

在研究了Coble扩散机制变形时的三维本构关系的基础上指出，材料在二维面内的超塑性各向异性变形，有可能取决于其三维晶粒尺寸。

In the representation theory of finite-dimensional algebras, combinatorial tools as quivers and their representations provide effective method in computing Hochschild homology and cohomology groups of finite-dimensional algebras.

代数表示论中的组合工具—箭图及其表示的发展和应用，为计算有限维代数的Hochschild同调群与上同调群提供了有效的方法。

And then, we prove the coincidence relation between one skyline point of high dimensional space and the most mild points of one subset, thus enabling it to transform skyline computing in high dimensional space to figuring out the most mild points in all subsets.

为此，本文首先提出了高维数据集上"平和点集"的概念，它由各属性值中的最小值比数据集中其他点对应最小值"好"的那些点组成；然后，论证了"平和点集"中最大平和点和skyline点的对应关系，从而转化高维数据集上skyline计算为其任意子空间上的最大平和点计算。

Two-dimensional matrix operations and one-dimensional Fourier transform, if the changes to what can be achieved to complete the integral operation matrix method can reduce computational complexity.

详细说明：用矩阵运算进行二维和一维傅立叶变换，如果改动一下，就可以实现矩阵方法来完成积分操作，可以减少运算量。

The necessity of the 3-dimensional modeling of the human foot-skeleton is discussed,and considering its characteristics such as being small and having complex shapes and a large quantity of bones and joints,the approach to the 3-dimensional finite element modeling of human foot-skeleton based on CT images with the thickness of 2 mm is studied.

讨论了建立人体足部骨骼有限元模型的必要性；针对其形状复杂、数量多、体积小和关节多的特点，分析探讨了基于2 mm层厚的CT图像建立人体足部骨骼三维有限元模型的主要途径。

Mol of amount of substance unit is consists of 2 dimensional space , minus 1 dimensional time and an coefficient of a (theoretical value of fine structure constant , a = 1 / 137), its physical expression has upgraded into

物质量单位摩尔是由2维空间，负1维时间和精细结构常数构成的，其物理学表述升级为

This is an untouched measuring way. The cameras are calibrated in the way of RAC two steps, first. With the polynomial interpolation, the pictures catched from the steel plate are treated to detect the edge in subpixel with a cross window arithmetic operators, which can fit non uniform illumination, keep the edge character and do filter in a better way. Three-dimensional scenery could be rebuilt from the two-dimensional pictures with the methods of least square fitting and contradictorily clairvoyance. Thus, the distance and its variance of two points in the given position of the plate can be achieved. It is expected that this study can provide a new and useful tool to the research on the theory of distortion of line heating.

这种非接触的测量方式，采用RAC两步法对摄像机进行标定，然后对采集到的钢板图像进行分析处理，通过多项式插值的方法，采用具有保持边缘特征和滤波功能，且能适应非均匀照明的十字窗图像边缘检测算子进行象素级边缘检测，再用最小二乘拟合法和逆透视法对二维图像进行三维重建，便可测出钢板上给定点的距离及其变化值，以期为水火弯板的变形机理研究提供一种新的检测手段。

In the third chapter, we study the approximation and weighted approximation for a kind of generalized Baskakov operators of two-variable. Using different weight functions, we discuss the convergence on weighted space of polynomials and rate of convergence with Jacobi weight for this kind of two-dimensional product-type operators, which extends the results of one-dimensional operators.

第三章研究一类二元广义Baskakov算子的逼近及其加权逼近，主要针对于不同的权函数讨论了这类乘积型的二元算子及其导数在多项式权空间上的收敛性和加Jacobi权的收敛阶，把一元的结果推广到多元的情形。

The problems of point - line - plane - volume; the facts of square - circle - triangle; the mysteries of central - peripheral - frontal - oblique - concave - convex; the right angle and perpendicular; of scale and position; the interest in post- lintel, wall-slab, vertical-horizontal; the arguments of two-dimensional and three-dimensional space; the extent of a limited field; the meaning of implied extension; the meaning of plan, of section, of spatial expansion - spatial contraction - spatial compression - spatial tension; the direction of regulating lines, of grids; the relationships of figure to ground, or number to proportion, of measurement to scale, of symmetry to asymmetry, of diamond to diagonal; the hidden forces, the ideas of configuration; the static, the dynamic: all these begin to take on the form of a vocabulary.

点-线-面-体的课题；正方形-圆形-三角形的事实；中央-边缘-正对-倾斜-凹入-凸出的奥秘；直角与垂直；尺度与位置；柱-梁、墙-板、竖直-水平的旨趣；两维与三维空间的思辩；局促场所的极限；暗示延伸的含意；平面、剖面、空间扩充-空间收缩-空间挤压-空间张拉的意义；控制线与网格的方向；图与底、数字与比例、尺寸与尺度、对称与非对称、菱形与对角线的关系；暗藏的力量、构型的想法；静态、动态━这一切都将发展成为语汇的形式。

In chapter three, we prove that there exist solutions to the Ky Fan variation inequality, as the set-valued mappings are defined on spheres in infinite dimensional Banach spaces or odd dimensional Euclidean spaces, following from these theorems, we obtain some fixed point theorems for set-valued mappings defined on a sphere. When G is an approximate compact convex subset of E, or G is a almost quasi-convex set-valued mapping, we prove that there exist solutions to and type generalized Ky Fan variation inequality, following these theorems, we prove several best approximation theorems and coincidence theorems involving two set-valued mappings and two different spaces. In chapter four, we first present a new Simplicial algorithm for computing the Leray - Schauder fixed points, the algorithm can solve the set-valued nonlinear complementarily problem. We give a condition to guarantee the computation proceeding in a bounded region. We present integer-labeling algorithms for computing fixed points of some set-valued mappings, the best approximation points and solutions to a kind of set-valued variation inequalities.

第四章给出了计算定义在非凸集上的非自映射的Leray-Schauder不动点的算法，而现有的不动点算法都是计算凸集的上半连续集值自映射的不动点；给出了保证计算有界的一个充分条件，我们的条件大大弱于Mdrrill条件，我们的算法也可用来计算Eaves不动点；给出了集值非线性互补问题存在解的一个充分条件，此时可利用Leray-Schauder不动点算法来求解；向量标号算法以往是计算集值映射不动点的唯一有效算法，我们给出用整数标号算法计算一类集值映射的Kakutani 不动点的算法；定义在紧凸集上的连续映射不一定有不动点，但一定有最近点，最近点是不动点概念的推广，我们给出了计算最近点的算法；集值映射变分不等式尚无有效的求解算法，我们给出求解一类集值映射变分不等式的算法。

I hope that this success is just the first in a long series.

我希望这只是成功的开始。

Three dimensional stresses on the interface of tire and soil, tire deflection and soil sinkage are measured.

测试轮胎——沙土界面上的三向应力、轮胎变形和沙土沉陷；建立考虑剪切应力对沙土承载特性产生影响的车轮牵引性能预测模型；分析车轮作用下土壤的纵向稳定性。