查询词典 four 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。

The first 3D dimensional polymeric cluster 〓(8) has been synthesized though solid state reaction, the X-ray structural analysis showed that the three-dimensional framework of 8 has a very high degree of symmetry with three mirror planes and one four rotation axis in I4/mmm space group, and composed of two building blocks 〓 and 〓 bridged by S-Cu〓 and Cu〓-Cl bond.

化合物6非线性折射值n〓为-9.3×10〓m〓·w〓，显示自散焦性质，与我们以前观察到的现象相反，这可能是配体作用造成的；非线性吸收值α〓 1.23×10〓m·w〓，表现出较强的非线性吸收效应。

For example, the roll elastic deformation breaks the statically determinate condition of roll system in duo mill, and this is the main reason of bearing longevity shortening and burning accident; in aluminium foil four-high mill roll system with a 1 mm gap, the ideal position kept by a 3 mm offset is out of effect, some phenomenon such as chock horizontal vibration, gyroscopic effect and micro dimensional dynamic cross happen in fact rolling process, abnormal super and partial load resulted by these is the main reason of the end thrust bearing accident; the thermal deformation of mill roll system accompanying the temperature raising not only changes the roller track age of rolling bearing, but also results a micro dimensional slow dynamic inverse cross that counteracts the gyroscopic effect in a degree.

如二辊高刚度轧机轧辊的弹性弯曲微尺度行为，破坏了辊系机构杆系的静定条件，成为轧机轴承短寿烧损的主要根源；铝箔四辊轧机只具有1mm的有隙辊系，凭借设置3mm偏移距和轧制力平衡产生的水平力以保持轧辊理想定位失去效用，却发生轴承座水平振动现象、陀螺效应和动态交叉微尺度行为，成为止推滚动轴承异常超偏载导致短寿烧损的主要根源；轧机辊系的伴随升温产生的热变形，不仅改变了滚动轴承滚道轮廓，还引起运动副内慢变动态反交叉微尺度行为，抵消陀螺效应的部分动态交叉角度。

A deadlock free plane self-adapting routing method in a two-dimensional torus network belongs to the distributing high performance fault tolerance computing technology field, characterized in that each physical passage between nodes are divided into two virtual passages which are both two-way passages and distributed to four virtual sub network of the two-dimensional torus network; the virtual passage distribution strategy avoids the deadlock formed among the sub networks and between the sub networks and has greater self-adapting.

二维torus网络无死锁的自适应路由方法属于分布式高性能容错计算技术领域，其特征在于，把节点之间的每条物理通道被划分为两条虚拟通道，这两条通道均为两向通道，并分配到二维torus网络的四个虚拟子网中，利用虚拟通道分配策略避免了各子网内以及各子网间可能形成的死锁，同时达到更高的自适应性。

Chapter 5 and 6 are concentrated on the fundamental problem how to con-struct finite-dimensional and infinite-dimensional Liouville integrable Hamiltonsystem.Starting from two isospectral problems,Tu's scheme is applied to gen-erate the corresponding CKdV hierarohy and coupled Burgers hievachy,andthey are shown to be Liouville integrable Hamilton systems.Two spectral prob-lems,which contain three and four potentials respectively,are also studied byTu's scheme.Two new Liouville integrable Hamilton hierarchy are estab-lished.A new general approach using Lenard's gradient sequence is presentedto obtain Lax integrable hierarchy and their zero curvature representation,andsome examples are given.The nonlinearization procedure is applied to theeigenvalue problem of coupled Burgerrs hierarchy.It is shown that underBargmann constraint,the spatial part of the Lax pairs is nonlimearized to be afinite-dimensional Liouville completeiy integrable Hamilton system.

第五、六章研究如何从一个谱问题出发构造可积发展方程族及其零曲率表示、Hamilton结构和判断Liouville可积性：通过对二类具有2个位势的等谱问题直接研究，利用屠格式生成了耦合KdV族和耦合Burgers族，并证明它们均为Liouville可积的广义Hamilton方程族；而通过分别具有3个和4个位势的等谱问题，遵循屠格式构造了二族新的Liouville可积的广义Hamilton方程族；给出了利用Lenard梯度递推序列产生发展方程族及其零曲率表示的一种方法，作为应用，讨论了CKdV族，BPT族及耦合Burgers族的产生及其零曲率表示；应用非线性化技巧，证明了在Bargmann约束下，耦合Burgers族的Lax组可被线性化为Liou-ville完全可积的Hamilton系统。

Replacing DETA with PIP, a new three dimensional compound 3 issynthesized and the 3D anionic framework of compound 3 is constructed from twodistinct motifs, a one-dimensional tancoite chain and a single 4-ring (S4R) unit,which contains four intersecting channels running throughout the structure as 8,12-member ring channels along to the a axis and 12-member ring channels along theb and c axis, respectively.

其中，以乙二胺为模板剂的亚磷酸铟微孔化合物具有无限的共边4员环一维链状结构；以哌嗪和1，6-己二胺为模板剂合成出的亚磷酸铟化合物分别具有二维交叉8员环孔道和16员环孔道的三维开放骨架结构。

In this paper,the updated Snake model is used to solve the echocardiography processing.Based on the updated active contour model,the contour points for two-dimensional slice serial of echocardiography are gotten.On this basis,through calculating the distance between the contour points of each two-dimensional slice and the center axis lines,the distance matrix from the four cambers of the ventricle to the center plane of ventricle are gotten.And through interpolating,smooth handling and filtering,the 3D endoscopic surface of ventricle is fitted out.Besides,in the medical measurements field,the slice area of ventricle and the volume of ventricle are measured,and the trend of slice area is also analyzed.

将改进的Snake模型应用于心脏超声波图像处理：基于改进Snake模型的思想，得到了心脏超声波图像二维切片序列的轮廓点，在此基础上，得到分割出的心室上下左右4个曲面上轮廓点到中心平面的距离矩阵，并通过插值和平滑处理以及滤波处理工作，拟合出心室的三维曲面图，取得了较好的效果；在医学测量方面，对心室的切片面积、变化趋势及心室的体积进行了测量。

On this basis, using the same theories and methods, we set up the three-dimensional steady-state models of ideal well productivity about a reverse double-branch horizontal wells, the three branches of radial horizontal wells, fish-bone shape three branches horizontal wells and two-dimensional four branches horizontal wells In five reservoirs respectively.

在此基础之上，运用同样的理论和方法，建立了反向双分支水平井、辐射状三分支水平井、鱼骨形三分支水平井和二维四分支水平井这四种分支水平井分别在以上五种油藏中的三维稳态理想井产能模型。

Exhibition hall is divided into four, nine galleries, one of electric and magnetic layer for the area, power and machinery area, math section, the universe and Space Pavilion, set up a high-voltage discharge, electric magnetic Gallery, bowls, a typical mechanical transmission, three-dimensional coordinates and other exhibits; the second floor for the sound and light booth, Applied Technology Pavilion, set up a light display, three-dimensional holographic images, sound simulation, laser laser, simulated driving and other exhibits; three for the Life and Health Pavilion, set up a false impression cylinder, fitness tests, brain and facial features, body systems, such as exhibits; underground floor for temporary exhibitions; in the Office of the Hebei Academy of Sciences set up a pavilion style.

展厅共分四层，九个展区，其中一层为电与磁展区、力与机械展区、数学展区、宇宙与航天展区，设置了高压放电、磁电廊、滚球、典型机械传动、三维坐标等展品；二层为声与光展区、应用技术展区，设置了光路展示、全息立体影像、声音模拟、激光内雕、模拟驾驶等展品；三层为生命与健康展区，设置了错觉滚筒、体能测试、大脑与五官、身体各系统等展品；地下一层为临时展览；中厅设置了河北院士风采展区。

The main aims of this disseration are to extend the complex self-dual grav-itational theory-the Ashtekar theory in four dimensional spacetime and este-bhsh a parametric self-dual gravitational theory in order to solve the problemof reality conditions in the Ashtekar theory.

本文的主要目的是推广四维时空的复自对偶引力理论-阿西特卡理论，建立一个参数化的自对偶引力理论，进而解决阿西特卡理论中面临的至关重要的实性条件问题。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。