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Furthermore, the first-order optimality condition and its equivalent reformulations for generalized semi-infinite max-min programming with a non-compact set are presented using the lower-Hadamard directional derivative and subdifferential.2. Chapter 3 studies the gradient-type methods for unconstrained optimization problems. Section 1 proposes a new class of three-term memory gradient methods. The global convergence property of the method is established. Furthermore, in order to improve the convergence property of the method, a new class of memory gradient projection methods is presented with the property that the whole sequence of iterates converges to a solution to the problem under the conditions such as pseudo-convexity and continuous differentiability of objective function. In section 2, two new classes of methods, called gradient-type method with perturbations and hybrid projection method with perturbations, are proposed. In these methods, non-monotone line search technique is employed, which makes them easily executed in computer.

第3章研究了无约束优化问题的梯度型算法,第1节提出了一类新的三项记忆梯度算法,讨论了算法的全局收敛性,进一步提出了一类新的具有更好收敛性质的记忆梯度投影算法,并证明了该算法在函数伪凸的情况下具有整体收敛性,第2节在非单调步长搜索下提出了带扰动项的梯度型算法及其混合投影算法,这两类算法的一个重要特征就是步长采用线搜索确定而不象许多文献中那样要求步长趋于零,这样更容易在计算机上实现,在较弱的条件下证明了这些算法的全局收敛性,数值算例表明了算法的有效性。

With this question discussed in generalities in the past, we have made a detailed classification of contexts and have found out the characteristics of each type of context, to the knowledge that each type has its own adaptive laws, which can thus be investigated according to diferent categories for a clear interpretation. How to study the problem of context correspondence?

过去人们对这个问题一般是泛泛而谈,我们对语境进行了详细的分类,寻找出了各类语境的特征,认识到:各类语境有各类语境的适应规律,因而可以分门别类地进行探讨,力图说明规律。

According to the problem that the industrial feature of mining area and our country mining area appear at present, put forward and analysed mining area to take the action of the road with denotative type and outspread catenary of connotation type industry and significance, analysed technical innovation to be in at the same time catenary of these two kinds of industries is outspread medium action.

根据矿区的产业特征和我国矿区目前出现的问题,提出并分析了矿区走外延式和内涵式产业链延伸之路的作用与意义,同时分析了技术创新在这两种产业链延伸中的作用。

New type of water chemistry for utility drum boiler and its principle and characteristic Two kinds of water chemistry's main principle and characteristic are detailedly analyzed. Against the problem of high eroding speed, high Fe content in feed water and boiler water, high scaling speed, short chemical cleaning interval, needing poisonous chemical deoxidant, etc for drum boiler's deoxidization water chemistry and difficulty of using oxidation water chemistry, a new type of water chemistry is put forward on the basis of analyzing the characteristic of whole power station's water steam cycle system, principle of two kinds of water chemistry and their practical effect in every cycle stage. Considering two water chemistry's merit, a new water chemistry called Limited Oxidation Water Chemistry is put forward, which is a local slight oxidization no-deoxidant water chemistry. And the proposed method's principle, control parameter, applying condition, start-lay up and emergency measures are initially calculated and analyzed.

三、新型汽包炉水化学工况的提出及其原理和特点详细分析了国内外现行两大类水化学工况处理的核心原理和特点,针对现行汽包炉还原性水化学工况处理所存在的系统腐蚀速度相对较大、给水和炉水铁浓度高、锅炉结垢速度快、机组酸洗间隔短、无法避免有毒化学除氧剂的使用以及氧化性水化学工况在汽包炉机组上应用的困难等问题,在详细分析电站整个水蒸汽循环系统的特点、两类水工况处理的原理和对循环中各段处理的实际效果等的基础上,综合两者的优点,提出了一种新型的局部轻微氧化性无除氧剂汽包炉水化学工况-"汽包炉有限氧化性水化学工况"处理原理,并初步计算、分析和确定了该种新型水化学工况的主要工艺控制参数、应用条件、启停与紧急情况处理等。

For Dirichlet problem of elliptic type equations,Chen[7]has proved the existenceof viscosity solutions under nature structure conditions.As for the oblique derivativeproblems,Ishii[6]has obtained the existencec results.But there is no result ofthese types on parabolic type equations.

对于椭圆型方程的第一边值问题,陈亚浙[7]用闸函数方法证得在一定的结构条件下定解问题存在连续粘性解,而斜微商问题的同类结果是Ishii[6]证得的,但对于抛物型方程似乎还是个空白。

Run-time type information will be lost because of type erasure and it's the major problem of the solution.

然而,在擦拭法下带来最大的问题为执行期间与泛型相关的型别资讯将会漏失。

The objective of this paper is to estimate the parameters of generalized exponential family ARMA models and construct the confidence intervals of the parameters. In this paper we divided the problem into continuous type situation and discrete type situation.

本文针对广义指数族ARMA模型,分为连续型指数族和离散型指数族两种情况讨论模型的参数估计,并运用不同的Bootstrap方法构造参数的置信区间和置信带。

Gradate school admissions and job market of graduating students is another type of non-system college admission problems. This paper design a preference order mechanism for this type of problem, which is fair, non-wasteful, individually rational, strategy-proof, and Pareto efficient, then discuss how to apply the mechanism in reality.

博士生录取和应届毕业生就业市场是另外一种非统一录取的录取机制问题,本文设计了一种偏好顺序机制,并证明了这种机制是满足公平、无浪费、个人理性、抗策略且帕累托最优的,最后给出了在现实中运用该机制的具体措施。

The purpose of the paper is to investigate the convergence of the mixed finite element method for the initial-boundary value problem for the Hyperbolic type integro-differential equation and Hyperbolic type equation.

本文讨论了双曲型和双曲型积分微分方程的标准混合有限元和H~1-Galerkin混合有限元方法的L~2模和H~1模的误差估计。

On the other hand,there has been so far no mapping method and software that can be used to map dominant-recessive markers obtained from F2 population of lepidopteran species.To resolve this problem,two-point and three-point maximum likelihood methods for mapping dominant-recessive markers using F2 population of this type of species were developed in this paper.At,the same time:we also gave a general method for constructing the gene linkage map of this type of species using F2 population.

另外,目前还没有任何方法和软件可以用杂交F2群体来作图鳞翅目类昆虫,如家蚕等连锁图谱,为了解决这一问题,本文发展了用F2群体作图这类昆虫连锁图谱的两点和三点极大似然法,同时还给出了大群体作图形态基因连锁图谱的一般方法。

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The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应,而且减少跟风的可能性。

The new PS20 solar power tower collected sunlight through mirrors known as "heliostats" to produce steam that is converted into electricity by a turbine in Sanlucar la Mayor, Spain, Wednesday.

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