查询词典 problem of fixed points

In chapter one,the backgrounds and current situation of operator theory in Banach space are introduced and the preliminaries of Banach space are given.In chapter two,we study the existence and uniqueness of fixed point for decreasing strict-set-contraction operator in product space.Under the weak continuous condition,we obtain the existence and uniqueness of fixed point for decreasing operator and we give an application of these results; In chapter three,we get several positive fixed point theorems of decreasing operator and the existence and uniqueness theorems of positive fixed point for operator C=A+B,C=D-A in real Banach space where the order is decided by a normal cone; In chapter four,we obtained some existence and uniqueness theorems of fixed point for some mixed monotone operators in semi-ordered Banach space.

在第一章中，主要介绍了半序Banach空间非线性算子的研究历史背景、现状以及半序Banach空间中的预备知识；在第二章中，我们利用半序方法研究了Banach乘积空间中严格集压缩减算子不动点存在唯一性问题，在弱连续的条件下，得到了不动点的存在唯一性和迭代收敛性，同时，给出了它们的一些应用；在第三章中，我们建立了拟弱连续减算子的正不动点定理，并证明了算子C=A+B，C=D-A的正不动点存在唯一性定理；在第四章中，我们得到了半序Banach空间中混合单调算子的不动点存在性及唯一性定理。

The writer considered that the absolute fixed had meaned each note of name of singing formed by absolute fixed pitch, and it was a precondition to study the fixed tonality; the comparative fixed meaned a kind of training method that only usage of singing way in fixed tune artificially, through the interval to organizing, and for this required the student with the base of tonic sol-fa conception.

内容提要：在视唱练耳教学中，"绝对固定"是指每个音的唱名都是由独立的绝对固定音高构建而成，它是学好固定调性的前提；"相对固定"则指学生在可能已经形成了首调观念的基础上，只是人为地采用固定调的"唱名方式"，通过"音程"来进行"构建"训练的一种形式。

Methods With surgery method treatment collar bone bone fracture 160 examples, in Cleveland needle steel wire fixed 134 examples, reconstructs the steel plate or in the collar bone steel plate the fixed 11 examples, the bolt after the collar bone and the processus coracoideus fixed 12 examples, in the collar bone hook steel plate the fixed 3 examples, after the technique, makes a follow-up visit the review analysis four in fixed methods the adaptation card, the bone fracture cicatrization time and the complication formation rate.

用手术方法治疗锁骨骨折160例，其中克氏针钢丝内固定134例，重建钢板或锁骨钢板内固定11例，螺钉经锁骨与喙突固定12例，锁骨钩钢板内固定3例，术后随访回顾性分析四种内固定方法的适应证、骨折愈合时间及并发症的发生率。

The question of searching characteristic points or straight lines on moving rigid body is decomposed into two relatively independent sub-questions. The first one is to evaluate the characteristic of points and straight lines on moving rigid body, whose mathematics model is a kind of special non-differential max-mini optimal problem with inequality constraints. By the method of Saddle-point Programming and maximum entropy, the problem can be transformed as a differential optimal problem with single objective. The second oner is to search approximative character points or straight lines on moving rigid body within design space, whose mathematic model is nonlinear and non-differential problem with multiple constraints.

本文将在运动刚体上寻找特征点或直线的优化问题分解为两个相对独立的子问题，一是对运动刚体上点或直线的特征性评定，其实质是平面曲线的圆度或直线度的评定问题，优化模型是以最大误差为最小作为优化目标的约束不可微的优化问题，本文采用鞍点规划和极大熵方法，将其转化为单目标可微优化模型；二是在设计空间内，寻找运动刚体上特征性评定指标最小的近似特征点或直线，其优化模型是非线性、多约束的不可微优化问题，本文提出用遗传算法和BFGS局部搜索法相结合来求解。

In view of the selection of structure elements problem in morphological filter, this paper presents morphological operators with non-fixed shape and non-fixed size kernels, or amoebas, instead of fixed-shape, fixed size structuring elements generally used.

针对形态学滤波中的一个关键问题－结构元的选择，提出了一种基于数学形态学的变形虫结构元，它是一种没有固定形状和大小的结构算子。

Mao Zedong has discussed confiscation of bureaucratic capital , has built the socialist state owned economy problem on depending on the socialist society pattern of ownership and assigning the system problem,have discussed the problem reforming individual economy becoming socialism collective economy , have discussed the problem reforming private capitalistic economy becoming socialist state owned economy , have discussed appropriate develop individual economy and private economy and the problem introducing foreign investment, possessions having discussed "three-level of rural collective economy, team the problem being a basis ", have discussed the problem needing to pay attention to the interests of the collective and the individual as well as the state, Have discussed the problem persisting in distributing according to ones performance , opposing an equalitarianism.

在社会主义社会的所有制结构和分配制度问题上，毛泽东论述了没收官僚资本、建立社会主义国营经济的问题，论述了把个体经济改造成社会主义集体经济的问题，论述了把私人资本主义经济改造成社会主义国营经济的问题，论述了适当发展个体经济和私营经济以及引进国外投资的问题，论述了农村集体经济的"三级所有，队为基础"的问题，论述了要兼顾国家、集体、个人三者利益的问题，论述了坚持按劳分配、反对平均主义的问题。

By properties of a real function, fixed points problem on two complete metric spaces are discussed.The result generalizes corresponding result of Fisher.Moreover, this result provides a general convergence rate estimate. Meanwhile, we discuss the existence of fixed point on two normed linear spaces under the condition of weak topology, and we obtain a new fixed point theorem.

利用实函数性质，讨论了两个不同度量空间中两个映象乘积的不动点问题，推广了Fisher的主要结果，并给了出逼近不动点的敛速估计；同时，在弱拓扑的意义下，利用分析的方法，讨论了赋范空间中有关映象不动点的存在性，得到一个新的不动点定理。

Point clouds are discrete data points without the topology relationship between them. So, to facilitate and expedite the extraction of contour points for the late NPR style, firstly we should simplify the point cloud data. In other words, non-contour points should be eliminated but their contour points and feature points should be retained .

点云数据本身是无拓扑关系的离散数据点集，所以，为了方便和加速后期非真实感绘制风格化所需轮廓点的提取，首先对点云数据进行了"粗略"地简化处理，即剔除点云数据中非轮廓点保留了其轮廓点和特征点；然后应用判定准则提取出所表示物体的轮廓点并对其进行"归并"形成便于NPR风格化处理的特征轮廓线；最后再对得到的轮廓线进行NPR风格化效果"加密"处理。

Based on analyzing the algorithms of Delaunay triangulation creation in domestic and abroad, in view of the situation of building DTM and the need of realizing railway 3D visual design, a divide-and-conquer algorithm to build DTM is presented, the algorithm use square grids to manage disordered points, to form triangular meshes in grids, DTM can be obtained by merging the triangular meshes, so that the work of sorting of the disordered points before building DTM is reduced greatly; moreover, the algorithm utilize subarea to control the vertices of convex hull so that the range which support points locate in can be predefined when searching support points, the workload of searching support points can be reduced and the speed of merging two triangulations is raised.

在分析了国内外构建DTM算法的基础上，针对DTM算法的现状及铁路线路三维可视化设计的需要，创立了一种构建DTM的分治算法。算法引入方格网管理离散点数据，在格中构建三角网，然后再将这些三角网合并形成DTM，极大地减少了构网前对所有参加构网的离散点进行排序的工作量。此外，通过对凸包顶点数据进行分区管理，在搜寻凸包支撑线时，能预先确定出支撑点的范围，减少了搜索工作量，提高了三角网的合并速度。

On the basis of the above references, this paper attempts to make use of cone compression and expansion fixed point theorem, Mnch fixed point theorem and fixed point index theorem to discuss a special kind of singular boundary value problem-Lidstone boundary value problem.

主要包括以下三个方面的内容：第一章考虑了Banach空间中2n阶奇异边值问题正解的存在性，其中f在t=0，1处具有奇异性这里θ表示Banach空间E中的(来源：faABC论文网www.abclunwen.com零元。

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For example, we usually assume that materials are homogeneous and isotropic and free of internal defects or flaws.

为了得到适合有限元分析的模型，我们必须经过如图2所示的简化步骤。