解集

As a consequence, based on the water system denseness method and the tectonic d...

论文在分析地应力及地应力场特征和规律基础上，论述了地应力场主要组成部分；较系统地阐述了粗集理论的主要内容，应用粗集理论计算各因素对地应力场的影响，并提出基于粗集理论计算权重的方法；解释了图像滤波使图像边界模糊的原因，提出基于粗集理论的图像滤波方法；研究TM图像各波段的信息特征、最佳波段组合及各波段赋色；剖析构造形迹在反推构造应力场中作用，建立断裂构造形成时的构造力学模型；利用遥感资料解译了与新构造应力场密切相关的水系，在GIS支持下，应用水系密集度方法和构造力学模型计算了新构造应力场的方向与大小；分析了地形起伏对重力场的影响，并建立了相应的数学模型；研究了地应力在矿山巷道及开采设计中的应用。

This main approach is also coincidence degree theory. Moreover, when the time scale T is chosen as the sets of real or integer numbers, the existence of periodic solutions for its differential or difference equation are obtained respectively.

若分别选取时标T为实数集或整数集时，则分别得到它的微分方程或差分方程周期解的存在性，这就避免了对这些生态系统的微分和差分方程周期解的存在性分别进行讨论。

Chapter 4,based on strong efficiency rather than efficiency or weak effi-ciency,discusses the similar problem to chapter 3.The concepts of strongsupremum and strong infimum for the set in finite-dimensionalEuclidean space are given,s-conjugate functions and s-subdifferentials theory is developed,by means of which,the duality problem ofmulitobjectivre programming for strong efficient solutions or called absoluteoptimal solutions is analysed,and a new duality theory-s-conjugateduality theory is proposed.

第四章，基于强有效性而不是有效性和弱有效性，给出了类似于第三章的结果，提出了有限维欧氏空间中集合的强上、下确界等概念，研究了点集映象的强共轭函数和强次微分问题，建立了点集映象的s-共轭函数及其s-次微分理论，并借助于这一理论，讨论了多目标规划关于绝对最优解或称强有效解的对偶性问题，建立了基于强有效性的s-共轭对偶理论。

In chapter 4, the relation between Fatou components of a transcendental meromorphic function or a transcendental meromorphic solution of some differential equation and the set of singular values is discussed, the main considered question is the relation between wandering domains or Baker domains and the set of singular values.

第四章讨论了超越亚纯函数或微分方程超越亚纯解Fatou分支与奇值集的关系问题，主要是研究游荡域或Baker域与奇值集的关系，得到在一定条件下，某些超越亚纯函数的多连通游荡域以及某些微分方程超越亚纯解的Baker域必定含有奇值。

A theorem of the alternative for the generalized subconvexlike set-valued maps is established using the separation theorem of convex sets in a Banach spaces, the concept of weak Benson proper efficient elements for a vector optimization problem is introduced, and the optimality necessary and sufficient Lagrange conditions for a vector set-valued map constrained optimization problem with the weak Benson proper efficiency is developed, with which the optimality Lagrange conditions for a nonconvex vector top-base constrained optimization of set-valued maps with the Benson proper efficiency are obtained.

刘莹 ，刘三阳，盛宝怀运用凸集分离定理对广义锥次类凸集值映射建立了一种择一性定理。引入向量优化弱Benson真有效元的概念，对带约束的非凸向量集值优化问题建立了在弱Benson真有效意义下有效元应满足Lagrange乘子型的必要及充分条件，并用这一结果建立了多目标主从非凸向量集值优化在弱Benson真有效意义下最优解的Lagrange乘子型充要条件。

Firstly, this paper definited pseudometric d for n -foldproduct of σ-algebra A of subsets of a given set X , and definited indicator function ; secondly, gave the concept of differentiable of set function at S° and concept of partial derivative at S° with respect to the ith argument Si through indicator function, and defound the weak efficient solution of and optimality necessary condition; Finally, obtained three weak duality results and strong duality results under generalized convexity conditions.

首先，对已知集X的子集的σ-代数A的n-折积A^n，定义了伪度量d，给出了相应的特征函数〈h，Is〉；其次，通过特征函数给出了集函数在S 可微的定义及集函数在S 关于第i个变量Si的偏导数定义；给出了多目标规划问题的弱有效解概念及的最优性必要条件；最后，分别在目标函数和约束函数的3种较弱凸性条件下，研究n-集函数多目标规划问题的对偶问题，获得了3个弱对偶结果和强对偶结果。

Then we prove that if the initial data enter into the unstable set, then the solution of the aforementioned Cauchy problem blows up in finite time, and if the initial data enter into the stable set, then the solution of the aforementioned Cauchy problem globally exists.

其次证明了如果初值进入不稳定集，该柯西问题的解在有限时间内爆破；如果初值进入稳定集，该柯西问题的整体解存在。

Chapter 5 focuses mainly on the exegesis of Hanyu' works, which can be divided into three periods that can be named scattered exegesis, entire exegesis and variorum exegesis.

第五章主要讨论韩集的注释。宋代的韩集注释可以分为零星笺注、通注全集、集注集解三个阶段，南宋前期成果最为突出，主要注本多出现在此时。

According to the characteristics of gas-collector pressure and suction-control of blower system for coke oven in Xiangtan iron and steel company, primary system is developed. Fuzzy control technology and routine PID technology are combined, and the control method of the pressure of gas collector in coke oven is given based on the fuzzy theory ,then decoupling control is adopted for coupling phenomenon.

针对湘钢焦炉集气管压力和鼓冷系统吸力控制特点，对原有系统进行改造，将模糊控制技术和常规PID控制技术相结合，提出了一种基于模糊理论的焦炉集气管压力控制方法，结合相邻通道的波动引起的耦合现象，采用模糊解耦原则进行解耦控制。

According to the characteristics of gas-collector pressure and suction-control of blower system for coke oven in Xiangtan iron and steel company, primary system is developed. Fuzzy control technology and routine PID technology are combined, and the control method of the pressure of gas collector in coke oven is given based on the fuzzy theory ,then decoupling control is adopted for coupling phenomenon.

中文摘要：针对湘钢焦炉集气管压力和鼓冷系统吸力控制特点，对原有系统进行改造，将模糊控制技术和常规PID控制技术相结合，提出了一种基于模糊理论的焦炉集气管压力控制方法，结合相邻通道的波动引起的耦合现象，采用模糊解耦原则进行解耦控制。

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失