凸子

Although some results on convex and concave iterative roots are known, there are no results about convexity for more general iterative equations. In this chapter, convexity of both increasing solutions and decreasing solutions is investigated by the divided difference theory and fixed point theory.

本章在连续函数构成的紧凸集上构造一个连续自映射算子，利用均差理论和不动点理论证明了线性型迭代方程的凹凸解的存在唯一性及连续依赖性。

In the third chapter, a modified Newton method is proposed for solving the dual problem.

最后还在理论上讨论了锥信赖域子问题非凸的情形。

Since the sub-problem is strict convex and separable, the dual problem is especially effective for large scale problem.

由于我们得到的子问题是严格凸和可分的，从而获得的对偶问题简单易解，因此这一方法尤其适合处理大规模问题。

The Company is a professional production of long-term flexible coupling, gear-type coupling, flange coupling, coupling roller, slider coupling the main processing unit, my plant has a processing center, CNC Lathe , wire-cutting and all kinds of ordinary cars, milling, planing, grinding and other medium-sized processing equipment totaling more than 30 Units, or in the area of 1500 square meters, and its predecessor was the Wuhan plant, subordinate units of vehicles engaged in precision machining for decades, its technical strong, the company will not only provide high-quality machining products, but also provide a comprehensive service, from product design, processing, manufacturing, packaging, transportation and other integration services, our constant self-perfection, technology continues to improve, put all the targets set up at "Customers are our God" on the basis points.

本公司是一家长期专业生产弹性联轴器、齿型联轴器、凸缘联轴器、滚子联轴器、滑块联轴器为主的加工单位，我厂拥有加工中心，数控车床，线切割及各类普通车、铣、刨、磨等中型加工设备共计三十多台，占在面积1500平方米，其前身是武汉车辆厂的下属单位，从事精密加工数十年，其技术力量雄厚，公司不仅提供品质卓越的机械加工产品，更提供全面周到的服务，从产品设计、加工制造，包装运输等一体化服务，我们不断的完善自我，技术不断提高，把一切目标都建立在"客户是我们的上帝"的基点上。

We establish a Lagrange multiplier theorem for strict efficiency in convex settings and express strict points as saddle points of an appropriate Lagrangian function.

讨论凸多目标最优化问题的严有效解，建立了拉格朗日乘子定理，并把严有效解表示为一个适当的拉格朗日函数的鞍

Chapter2, mainly summarizing the optimality conditions for the nonconvex semidefinite programming, first recalls the concept of transversality condition, proves that transversality condition and linear independence condition are equivalent, and shows that under strict complementarity condition, the transversality condition is a sufficient condition for uniqueness of the Lagrange multipliers.

第2章，主要综述非凸半定规划的最优性条件，首先回顾了横截性条件的概念，证明了横截性条件与线性无关条件是等价的。并且说明了在严格互补松弛条件下，横截性条件是Lagrange乘子矩阵唯一的充要条件。

Before version of the process flow is: that the original steel plate, that is, the original mould, Yin, maintop pattern concave, hardened-overvoltage round steel shaft, that is, cavity, positive and maintop pattern convexes-round steel shaft had hardened-Nano-imprint lithography version submodules, Yin, maintop pattern concave-skinpass printing layouts — chromeplate — students'computer proofing-business card printing and membership card.

功版的工艺功程是：邮票原钢版，即原模，晴图、版纹凹形，不退火强硬——功不抬圆钢轴，即母模，阳图、版纹凸形——圆钢轴不退火强硬——功不抬印版，即子模，晴图、版纹凹形——裂缝版面——印版镀铬——上机打样——制卡和会员卡制作。

The process flow is: that the original steel plate, that is, the original mould, Yin, maintop pattern concave, pressed plastic version —— welding by stamp layout: skinpass page make up layouts guniting silver, copperizing-nickel-coated, cavity (for positive and maintop pattern convexes)—— a printing plate nickel plating shall be guilty of submodules, concave maintop pattern--a printing plate chromeplating treasure…every two pieces by mechanical bent of the semisircle package 5.1 core-students'computer proofing-business card printing and membership card.

其工艺功程是：邮票原钢版，即原模，晴图、版纹凹形，冲不抬塑料版——按邮票版式割切拆版——裂缝版面——喷银、镀铜——镀镍(为母模，阳图、版纹凸形)——镀镍为印版，即子模，版纹凹形——印版镀铬——把两块印版用板滞弯不败半圆形包在滚筒芯上——上机打样——制卡和会员卡制作。

Firstly, the generalization of Fan-Ha section theorem and a general vector variational inequality without convexity assumption and minimax theorem of vector-valued function are obtained. Then, the quasi-montone vector variational inequality problem is concerned. Cx-quasi-monotone operator is defined in topological vector space, inner point of a closed convex set K is introduced, the relation between inner point and relative algebraic interior point is given, an existence result for quasi-monotone vector variational inequality is obtained.

第三章主要研究了向量变分不等式和极小极大定理(来源：3282AB83C论文网www.abclunwen.com)，建立了广义的Fan-Ha截口定理、新的向量变分不等式与极小极大定理，并在拓扑向量空间中定义了C_x-拟单调算子，引入了闭凸集K的inner点，给出了inner点与相对代数内点的关系，利用innK_c代替K的拓扑内部，建立了新的拟单调向量变分不等式。

The outer surface of the roller with its axis line in the plane as the internal convex arc.

滚子的外表面在包含其轴心线的平面为内凸弧形。

It has been put forward that there exists single Ball point and double Ball points on the symmetrical connecting-rod curves of equilateral mechanisms.

从鲍尔点的形成原理出发，分析对称连杆曲线上鲍尔点的产生条件，提出等边机构的对称连杆曲线上有单鲍尔点和双鲍尔点。

The factory affiliated to the Group primarily manufactures multiple-purpose pincers, baking kits, knives, scissors, kitchenware, gardening tools and beauty care kits as well as other hardware tools, the annual production value of which reaches US$ 30 million dollars.

集团所属工厂主要生产多用钳、烤具、刀具、剪刀、厨具、花园工具、美容套等五金产品，年生产总值3000万美元，产品价廉物美、选料上乘、质量保证，深受国内外客户的青睐