边界对应

词组短语

boundary correspondence

与边界对应相关的网络例句 [注：此内容来源于网络，仅供参考]

Aimed to the differential equation in form of convolution and the functional presented by M. E. Gurtin, the matrix operator which includes the differential equation and the boundary condition is proved self-adjoint, furthermore a general variational principles in form of convolution and the preparation theorem are given and proved.

针对M.E.Gurtin提出的含卷积运算的抛物型偏微分方程及其对应的泛函，运用泛函势算子理论，从理论上证明了含卷积运算的抛物型偏微分方程及其边界条件所对应的矩阵算子有势，进而给出并证明了具有普适意义的含卷积运算的变分定理及预备定理。

Chapter 1 gives the background,current research process of relatedproblems and summarizes this thesis\'s work.In chapter 2,we study the Brownian motion with holding and jumping on the boundary.We use the resolvent method to obtain the infinitesimal generator because the domain of the infinitesimal generator is essentially the same as the range of the resolvent.Knowledge of this range and of the differential operator determines uniquely the infinitesimal generator.Since the semigroup generated by the DHJ is not strongly continuous,to use the nice property of strongly continuous semigroup in analytic theory,in chapter 3 we show that the dual is strongly continuous and derive ergodicity through spectral radius formulas and finally obtain the ergodic theorem by duality. In chapter 4,we discuss a class of a more general process---one dimensional Feller diffusion proposed by W.Feller in 1954.The Feller diffusion allows the possibility of jumps from boundary to boundary,not only from boundary to the interior.We give the stationary distribution of this process.

具体地，本文的结构如下：第一章给出了问题产生的背景，研究现状及本文的主要工作；第二章研究了在边界上逗留后随机跳的布朗运动，我(来源：3dABC论文网www.abclunwen.com)们用预解算子的方法得到其无穷小生成元，因为无穷小生成元的定义域本质上就是预解算子的值域，知道这个值域和微分算子形式就能唯一地决定无穷小生成元；由于DHJ过程产生的半群不是强连续的，为利用强连续半群的一些漂亮性质，在第三章中我们证明其对偶半群是强连续的，然后由谱半径公式得到遍历性并且最后由对偶得到遍历定理；第四章讨论了Feller在1954年引入的更广的一类过程----一维Feller扩散过程，Feller扩散过程允许有从边界到边界的跳发生，即不仅仅局限于从边界到内部的跳，在这一章中，我们给出了一维Feller扩散过程的平稳分布；在第五章，我们讨论了一些相关的问题，给出了DHJ过程对应的PDE问题及特征值与收敛速度的关系。

In mathematics this conjecture is that the extrinsic geometric properties onsubmanifolds in AdS-space have corresponding Gauge theoretic geometric propertiesin its ideal boundary.

如果用数学的语言来解释AdS／CFT对应则为：AdS-空间中子流形的微分几何性质与AdS-空间中理想边界上的规范场论的几何性质是相对应的。

In this dissertation, we construct the Bariev model with nine kinds of boundary fields by the matrices K_± defining the boundaries. And then the Lax operator is given in the form ofmatrix, as well as the basic quantities, e.g., the R -matrix, the monodromy matrices and the transfer matrices are defined. By using the expression of the local Lax operator of the model,the action of the monodromy matrices T, T~(-1), U_ on the pseudo-vacuum state is given outin detail. Furthermore, the main fundamental commutation relations are obtained through the reflection equations, the recursive n-particle state as well as the one-particle exact solution is given and the Bethe ansatz equations are found accordingly. Finally, we list the nesting boundary K matrices, which play a crucial role for obtaining the n-particle solution and finding the Bethe ansatz equations, the eigenvalues of the transfer matrices and the energy spectrum of the system by means of the nested algebraic Bethe ansatz method.

在这篇文章中，我们利用边界K_±矩阵构造出了具有九种边界场的Bariev模型，同时给出了该模型L算子的具体矩阵表示形式，并定义了R矩阵，monodromy矩阵以及转移矩阵；接着利用L算子的矩阵形式，给出了其对应monodromy矩阵T、逆矩阵T~(-1)作用到真空态上的值，并利用Yang-Baxter关系及反射方程得到了双行monodromy矩阵U作用到真空态上的值；然后利用反射方程通过复杂的计算得到了一系列重要的基本对易关系式，并给出了模型的递推的多粒子波函数、单粒子解及Bethe ansat方程；最后给出了模型的嵌套的边界K矩阵的具体形式，从而为运用嵌套Bethe ansatz方法求解该模型的多粒子解、Bethe ansatz方程以及系统的能谱打下了很好的基础。

Later, we estimate our variational functional to get a nontrivial solution of the new equation and so the second solution for is obtained.

然后我们利用函数平移将原来的非齐次边界问题转化为奇次边界问题，验证了其对应的变分泛函满足不带条件的山路引理的两个条件，并给出了泛函临界点存在的一个充分条件，最后对具体的变分泛函进行估计，得到了新方程非平凡解的存在性结果，从而得到了原方程第二个正解的存在性结果。

To decompose prismoid subject into sweepable sub-volumes, the source vertices project into target surface and decompose target surface to many subdomains. The virtual surfaces are found by linking opposite vertices from source surface and target surface, finally cut volume to sub-volumes. It is also designed spheriform decomposition based on geometry character.

虚拟分解主要是通过将棱柱体的源曲面边界顶点映射到目标曲面，将目标曲面划分成和源曲面一一对应的区域，连接对应的顶点建立虚拟剖分曲面，利用虚拟曲面将复杂的几何体剖分成子几何体。

This method use the silhouette of object in image as feature, after approaching with polylateral, a serious control point can be got, the feature vector of object's contour can be got by calculating the parameter of AR model, which use the sequence of angles got from control points.

该方法以目标二维方面图轮廓为特征，经多边形逼近获得边界控制点，计算出边界控制点对应角序列的AR系数作为相应方面图的特征向量，建立三维目标的在各种姿态下的姿态特征库。

The main results in this paper as follows: First, a prototype of a shape-based image database retrieval system is completed, it can receive the query mode both by giving an example image and by sketching the desired object on the screen, Second, five shape-based image retrieval methods are realized; Third, an algorithm based on triangulation for shape-based image retrieval is brought forward. In this algorithm, firstly, the edge of the original image is followed and the candidate corners in the original image are detected. Then the counterpoints of the candidate corners in the result of edge follow are found, and the boundary corners whose counterpoints have been found are queued in the order of their counterpoints in edge follow. After these steps, the boundary corners are triangulated and triangles are obtained which can show the true shape of the original image. Finally, shape feature is obtained by calculating the angle histogram of the triangles.

同时本文中主要完成了以下三方面的工作：完成了一个基于形状特征的图象检索的原型系统，可实现例子图象或徒手绘草图两种查询方式；实现了五种利用形状特征进行图象检索的具体方法，并对其进行了分析比较；并且在继承将三角剖分引入形状检索的思想基础上提出了利用三角剖分进行形状检索的一种新算法：先对原图象进行边界跟踪和角点检测；然后寻找初始角点在边界跟踪中的对应点，并对找到对应点的角点按其对应点在边界跟踪中的顺序进行排序；再对排序后的角点进行德洛内三角剖分，得到能表示目标真实形状的三角形序列；最后计算三角形序列的角度直方图作为形状特征，并进行相似性匹配。

First, based on the relations of stress and strain between the whole medium and its macroscopically isotropic constituents, an explicit relation between elastic matrices of the whole medium and its constituents was derived. Combining the explicit relation of elastic matrices with the strain's relation, two coefficient tensors were defined and analyzed to get a general relation between the hulk and shear modulus of the whole medium under the assumption that all the field variables are in a unified coordinate system. Secondly, combining these relations with the classical Hashin-Shtrikman elastic modulus bounds, four new expressions of elastic medium of the whole medium were obtained and compared with the original hounds. Last, these formulae were applied in the computation of effective elastic moduli of clean sandstone saturated with pore water.

首先基于整体介质与宏观各向同性组分满足的应力和应变组分关系，推导出整体介质弹性矩阵与组分弹性矩阵之间的显式关系，联合其应变关系，定义和分析了对应的两个系数张童，并据此导出了相关场变量位于统一坐标系时整体介质体积模量与剪切模量的关系；然后将经典的Hashin-Shtrikman弹性模量边界模型与上述关系式结合，得到4个新的整体介质弹性模量的估算公式，再与原始的Hashin-Shtrikman弹性模量边界进行了比较，最后针对饱和水纯净砂岩介质进行了试算。

The numerical results show system changed rapidly near the edge of the safety areas, and the initial condition far away the edge can postpones the peak time.

数值结果表明，系统状态在接近安全域边界时变化很快，而初始状态远离安全域边界时，则可将对应的失稳时刻推后。

与边界对应相关的网络解释 [注：此内容来源于网络，仅供参考]

boundary correspondence：边界对应

boundary condition 边界条件 | boundary correspondence 边界对应 | boundary curve 边界曲线

boundary curve：(相图的)界线, 边界曲线

boundary correspondence | 边界对应 | boundary curve | (相图的)界线, 边界曲线 | boundary cutoff | 切断周边

frontier point, boundary point：边界点

边界表现|boundary behavior | 边界点|frontier point, boundary point | 边界对应|boundary correspondence

private sector：私营部门

西方国家公共部门(publicsector)是与私营部门(private sector)相对应的,它的边界在不同的国家和不同的时间都有所不同,但包括行政机构(civil service)、国有工业 (nationalized industries)、公用事业(public utility)以及辅助性部门 (ancillary services).

orogenic zone：造山带

上世纪70年代建立的蛇绿岩(Ophiolite)概念认为出露在造山带(Orogenic Zone)中的一套镁铁-超镁铁岩组合是大洋岩石圈的残留,其岩性单元可以与现代大洋岩石圈各个层圈一一对应,所以蛇绿岩是确定古板块边界存在与否的重要证据,