查询词典 one dimensional

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。

In this paper,from the global viewpoint we first define the nonlinear control system on a two dimensional surface in the three dimensional Euclidean space, give the represwentation of the state equation under a loca coordinate sysgtem of the surface, and study the connectin between the equilibrium state of the nonlinear system and the egodesics on the surface.

我们首先从整体化的观点定义了一种建立在三维欧氏空间的二维曲面上的非线性控制系统，并给出了在曲面的局部坐标系下非线性系统状态方程的表达式，研究了非线性系统的平衡态与曲面的测地线之间的关系。

Construct the three-dimensional manifold element covering hexahedron, provide cover displacement function, strain matrix, stiffness matrix and stress matrix of the three-dimensional manifold element by the previous research work.

6在前人研究的基础上，构造了六面体有限覆盖的三维流形单元，推导了三维流形单元覆盖位移函数、应变矩阵、刚度矩阵、荷载矩阵等表达式。

It can get the three-dimensional profile of the object surface effectively. Because of the cragginess of the three-dimensional surface when sine grating is projected the image of the sine grating is modulated and the modulated image is taken by a CCD camera with an angel compared to projecting direction. After the phase shift measuring method, the phase is gotten. Because the phase is calculated by the phase shift measuring ranges from –π to +π it isn't continuous. The phase unwrapping is necessary to recover the continuous phase about the object shape.

这种方法采用结构光照明，将正弦光栅图像投影到被测物体表面，用与投影方向成一定角度的CCD摄像机获取受物体表面面形调制的变形光栅像，根据数字相移算法计算出相位分布，由于从相移计算的相位被截断在反三角函数的主值范围内，因而是不连续的，必须通过相位展开恢复出连续相位分布，由相位－高度关系最终求出物体轮廓的三维数据信息。

A three-dimensional anisotropic etch rate distribution of Si can be described by two-dimensional etch rate distribu-tions in a series of crystal planes.

硅各向异性腐蚀速率三维分布可由一系列晶面上的二维腐蚀速率分布表示。

Detail are introduced as following: transfering the LS equation to difference equation, setting the initial conditions for different shape explosive at different initiation way (point, line, plane, divergent or convergent); the dealing method of different edge conditions; how to draw the curve graph in two dimensional space or surface graph in three dimensional space with the calculated data.

本文提出了在三维直角坐标系中爆轰波传播LS方程离散化方法，建立了相应的差分方程，研究了对不同形状炸药在多种起爆形式（点、线、面、散心、聚心）下初值条件的设定，以及各种边界条件的处理方法。

Firstly, the concepts of dimensional element and dimensional element-chain are defined, and a geometric tolerancing model expressed by DE and its semantic mapping are also given. Secondly, the construction of DEC, the geometric measuring method for the calculation of error transfer coefficients of dimension-chain components and the realization of DECA are proposed.

首先定义尺素和尺素链等概念，并在此基础上建立尺寸公差的尺素表示模型及其语义映射；然后给出尺素链构造方法、计算误差传递系数的几何度量方法以及尺素链分析的实现方法。

By using the decomposability of graph, high-dimensional problem can be decomposed into some low-dimensional problems, and then we can analyze the independence relation, time sequence relation and causal relation among random variables by means of visual structure of graph.

利用图的可分解性，可将高维问题分解成低维问题，并借助图的直观结构对随机变量间复杂的独立性关系、时序关系或因果关系进行分析。

The Galerkin's method was used to truncate the infinite-dimensional partial differential equations into a set of finite-dimensional ordinary differential equations with time dependent coefficients,which can be solved with numerical methods.

对于电梯工业来说，目前世界上绝大部分电梯仍然是依靠钢丝绳提升的曳引式电梯。

The latter is essentially derived from the geometric realization of Happels triangulated equivalence between stable module category of repetitive algebra and bounded derived category of finite dimensional algebra. In terms of this realization, we deduce that the Lie algebra realized by derived category of a finite dimensional algebra is isomorphic to the Lie algebra realized by stable module category of the corresponding repetitive algebra.

后者本质上是Happel关于重复代数的稳定模范畴和导出范畴的三角等价的一个几何实现及其应用，使用这种几何实现，我们可以证明在重复代数的稳定模范畴上定义的李代数同构于相应的导出范畴上实现的李代数。

"Yes, now you can give yourself airs," she said, you have got what you wanted.

"对了，您现在高兴了，"她说道，这是您所期待的。

Then the LORD said to me: Rebel Israel is inwardly more just than traitorous Judah.

上主于是对我说：＂失节的以色列比失信的犹大，更显得正义。