查询词典 boundary operator

On the basis of this mathematical tools, the differential invariants of Laplace boundary operator have been constructed.

这种方法实际上适用于图象处理中相当广泛的的微分算子。

Transforming the boundary value problem with p-Laplace operator into operator equation, giving propriety conditions for different value of p,and using an extension of Mawhin s continuation theorem,the existence of solution of a boundary value problem with p-Laplace operator is proved, and the sufficient conditions for solution existence are obtained.

将具p-Laplace算子的边值问题转化成算子方程，对于p的不同取值给出适当的条件。利用Mawhin连续引理的推广形式，证明了一类具p-Laplace算子的微分方程边值问题解的存在性，得到了一系列解存在的充分条件

By analyzing the characteristics of the boundary pixels to formulate a boundary pixel extraction operator, the operator need only calculate up to 4 pixels neighborhood pixels, is efficient, fast, he can direct the use of binary images are extracted as the boundary pixel, are single-pixel wide border.

通过分析边界象素的特征，归纳出一个边界象素提取算子，该算子最多只需要计算象素的4邻域象素，运算量小，速度快，运用他能直接提取出二值图象的边界象素，得到单象素宽的边界。

Based on image statistical characteristic, the algorithm can search automatically the boundary start-point using Sobel operator and special template operation, then according to the connection status of every boundary point in its 8-connection neighbor field, seek automatically the search direction, form the whole data collection of a target boundary outline.

该算法依据目标图象特征，在二值图象中利用Sobel算子和特定的模板操作，自适应搜索边界起点；然后，按照每个边界点在其8邻域内的连通情况，自动寻找搜索方向，形成了完整目标边界轮廓数据集。

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 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。

According to the different orientations of domain walls with respect to the (100) observation plane of a foil, 90°domain boundaries may be divided into two kinds. one is thin lens or ring shaped a-a 90°domain boundary, and the domain wall lies on the {110} plane; Usually, most of these domain boundaries are uncharged; according to the extinction rules for the (011) domain walls, the displacement vector 〓 along 〓 can be dertermined, which is parallel to the line of intersection between the domain wall and the plane consisting of spontaneous polarization vectors on both sides of domain boundary; from selected area electon diffraction of crystals including domain boundary, we not only examine slight difference in the crystal parts on both sides of the domain boundary, but also obtain crystallographic relationship between them, that is, there exists a 180°rotation symmetry operator along a normal of domain wall. The other is Z or ring shaped a-c 90°domain boundary along {010} direction, and the displacement vector 〓 runs along 〓 direction.

根据界面相对于样品中(100)观测面取向的不同，90°畴可分为两类：一类为薄透镜片状或环状的a-a90°畴，其界面平行于{110}，多数不带电，由消光规律可确定其位移矢量平行于畴界面与自发极化所在平面的交迹，即，〓方向，而从包含畴界的选区电子衍射图可知，这种不带电的90°畴界两侧存在微小的取向差，其界面两侧的结晶学关系为以界面法线为二次轴的旋转关系；另一类为Z状或环状的a-c90°畴，其界面平行于[010]或[001]，相应的位移矢量为〓方向。

Mixed monotone operator; Singular two-point boundary value problem; Generalized e-concave operator; Generalized e-convex operator; Mixed monotone multivalued operator; Fixed point

基础科学，数学，数学分析混合单调算子；奇异两点边值问题；广义e-凹算子；广义e-凸算子；混合单调多值算子；不动点

Machining process and general information:· General Information – Tooling o Plan to have own engineering group as company expands o Hwasung is subcontracted to do engineering currently o Uses same cutting tools as in Korea facility – all diamond o Regrind tools if can o Hwasung has capability to surface grind, repair dies, and make molds with wire EDM process · General Information – Machining o Boundary samples are used: okay, borderline, not good o Quality room has separate windows for incoming and outgoing parts o New equipment will be coming in from FM LaGrange plant o Each operation has pictures and job instructions for what to check and which gage to use to check part o Parts are manually loaded into machine or pallet, depending on line o Auditor checks parts for verification: after operator checks part, puts in bin, auditor checks part and reloads back on line o Have tool management system o A pokeyoke check is used for orientation prior to loading o Machines are guarded o Mostly have CNC machines o Manual chip collection systems o If automated, have robots with grippers to load/unload parts from pallets o After final inspection, operator visually inspects and loads onto plastic dunnage with the crown up and loads into the washer o Repairs: filing down of burrs or sharp edges after anodizing the crown o Have 2 Excello machines for special machining of the pin bores o 2.7% scrap for gasoline pistons o Cycle time is 18 seconds for gasoline piston o Process – Wash o Spray system o 4 stations: heated wash, wash with degreaser, 2 rinse stations o Uses RO water o Operator blow dries piston and puts on dunnage with crown up o Parts wheeled into coating room o Needs major improvements here o Chemical analysis done for bath in chemical room o Comments/Observations: o Relatively small piston facility, but plans for additional space.

加工工艺和一般信息：·–的一般信息工具 o 有自己的工程集团，随着公司的扩展计划 o Hwasung 是分包做当前工程 o 用途相同的扦插工具，如在韩国设施–所有钻石 o 回收料工具如果可以 o Hwasung 已表面研磨，修复模具，和模具丝电火花加工能力过程·一般信息–加工 o 界限示例用于：好交界，不好 o 质量房间有单独的窗口传入和传出的部件 o 新设备会在来从调频拉格朗日植物 o Each 操作具有图片和工作说明的什么复选，计为使用检查部分 o 部件是手动加载到机器或托盘，取决于行 o 审计检查验证零件：置于 bin，运算符检查部分后，核数师检查部分并重新加载回行上 o 有工具管理系统 o 为 pokeyoke 复选用于在加载之前的定位 o 机被保护 o Mostly 有数控机床 o 手动芯片收集系统 o 自动，如果有与要加载/卸载部分从托盘 grippers 机器人 o 后最终检验，运算符将直观地检查并加载到与塑料衬垫冠了与到洗衣机负荷 o 修复：提交下毛刺或锋利的阳极氧化冠后 o 有 2 Excello 机特别加工的销孔 o 2.7%废料的汽油活塞 o 周期时间是为汽油活塞式 18 秒 o 过程–洗 o 喷射系统 o 4 站：加热洗、与脱脂剂洗、 2 冲洗站 o 使用反渗透水 o 运算符吹干活塞式并将了放冠衬垫 o 部件轮式进涂层房间 o 需要重大改善在这里 o 为在化学的房间里浴做的化学分析 o 注释/结论： o 相对小活塞式设施，但额外的空间的计划。

In this paper, We study the spectral counting function for one dimensional p-Laplace operator. We prove the existence of a two term Weyl-type asymptotic with mixed and periodic boundary-value conditions. This is the generalization of Laplace operator with mixed and periodic boundary-value conditions.

本文研究一维p-Laplace算子谱点的计数函数，在混合边值及周期边值条件下得到一个精确到第二项的Weyl型渐近式，它是Laplace算子在这两种边值条件下的推广。

I am accused of being overreligious," she said in her quiet, frank manner,"but that does not prevent me thinking the children very cruel who obstinately commit such suicide.""

客人们在卡罗利娜·埃凯家里，举止就文雅一些，因为卡罗利娜的母亲治家很严厉。

Designed by French fashion house Herm è s, this elegant uniform was manufactured in our home, Hong Kong, and was the first without a hat.

由著名品牌 Herm è s 设计，这件高贵的制服是香港本土制造，是我们第一套不配帽子的制服。