查询词典 jacobian method of eigenvalue problem

By using eigenvalue method and Bessel functions, the closed solutions of 3D transient temperature field in each layer of the cylinder were deduced.

利用特征值法和Bessel函数，导出了各层柱体中三维瞬态温度场的封闭解析解。

In this paper,we use the method of the estimated characteristic function to estimate a lower bound of the first eigenvalue on compact Riemann manifold.

本文利用特征函数梯度估计的方法对紧致Riemann流形上的第一特征值的下界进行了估计。

The primary work of this paper includes: 1 The general process and the fundamental theory of genetic algorithm is introduced systematically, which is also be applied to an example; 2 The penalty function method and the constraint tournament method are introduced in the paper, which are used to process the constraint limit. Via analyzing the basic principle of NSGA-II ,which is elaborated in the paper, the fast non- dominated sorting method, congestion distance and its comparison operator, the elite strategy and the main process of NSGA-II is researched particularly. 3 Via modeling the fire distribution problem, the model is computed by the algorithm of NSGA-II, which is combined with both the penalty function method and the restraint league tournament method The optimization of two goals are also realized in the paper. The results derived from the VC++6.0 indicate that, two algorithms both have the high convergence, simultaneously the Pareto optimal solution also maintain the variety of distribution.

本文所作的主要工作如下：系统地介绍了遗传算法的一般流程和基本理论，并应用于一个函数优化的实例；研究了用于处理约束限制的罚函数法和约束联赛法，论述了NSGA-II的基本原理，并对其提出的快速非支配排序法、拥挤度及其比较算子、精英策略及NSGA-II的主要流程作了详细的研究；建立了火力分配问题的模型，并将NSGA-II算法分别与罚函数法和约束联赛法相结合对该模型进行了计算，实现了对两个目标的最优化；用VC++6.0编程计算后所得的结果表明，两种算法均具有很好的收敛性，同时Pareto最优解也保持了好的多样性分布。

The deoxygenation method which is often used in China at the present,both physical method(heating power deoxygenation ,analysis deoxygenation ,vacuum deoxygenation )and chemical deoxygenation (hurling Na-2SO-3 method directly,Fe filings method,hydrazine method) have a certain problem when is used in middle or small boiler supply water.

国内目前常用的锅炉除氧方法，无论是物理法(热力除氧、解析除氧、真空除氧)还是化学除氧(亚硫酸钠直接加入法、铁屑法、联氨法)，应用于中小型锅炉补给水的除氧都存在一定问题。

To improve performance of Chinese processing applications, we must change this situation, thoroughly think of the linguistics foundation of Chinese processing, and work over linear-grammar that suits to process word neighbor-ship in Chinese by computers. We have gotten many original research results as follows: We introduced the concept of simple-phrase and the method to identify them; We also introduced a smoothing method, which greatly relaxes the sparseness problem in statistic method, based on the similarity of words according to linear dependence of them, and introduced a person-name recognition method based on reliability and a method to recognize new word based on multi-features.

本课题为了提高汉语处理应用软件的性能，打破这一传统，彻底反思汉语处理的语言学基础，研究适合于汉语的、适合于计算机处理的、适合于词语线形关系的文法，创新性地提出了线形文法的思路，并有多方面的原创性成果，包括：提出了简单短语概念并拟订了界定规范并设计了相应的识别方法；提出了基于线性邻接分布特征的词语相似性计算方法，有效的缓解了统计的数据稀疏问题；提出了基于可信度的人名识别方法和多特征集成的新词语识别方法。

On this basis, according to historical data, apply ANN and differential simulation method to get the quantitatively correlative relations between each production and its own influence factors, and introduce the new methods of prediction for dynamic indexes with gas-field development (The combinatorial prediction method based on fuzzy comprehensive evaluation, the method of ANN to select optimally combinatorial prediction models and the ANN prediction method based on genetic algorithm).(2) Base on mathematical programming, combine with quantitative economics and techno-economics, introduce economical indexes to establish production"s distribution optimal model, production"s constitution optimal model and measured production"s constitution optimal model, including multi-objective models and five-years models. Upon this, the optimal project for all gas field and each gas-collected factory can be got. Also, introduce the time value of capitals to improve on these models.(3) Base on the optimal solution theory and algorithm theory for the nonlinear programming problem, introduce the SUMT algorithm and genetic algorithm to study how to solve the models, and on the basis of normal genetic algorithm, make use of auto-adaptively modulating method to improve on normal genetic algorithm; Base on algorithm"s convergence theory and calculation"s complexity theory to analyze seriatim SUMT algorithm"s convergence and genetic algorithms convergence, and compare performance with each other.

在此基础上，利用神经网络方法和微分模拟方法根据历史数据得到各分项产量与其影响因素之间的定量关联关系，并引入气田开发动态指标新的预测方法(基于模糊综合评判的组合预测方法、神经网络优选组合预测模型预测方法以及基于遗传优化的神经网络预测方法)；(2)以数学规划为基础，结合数量经济学和技术经济学，引入经济指标建立产量分配优化模型、产量构成优化模型、措施产量构成优化模型、气田开发多目标规划模型以及五年规划模型，进而获得全气田及各采气厂的最优方案，并引入资金时间价值对五年规划模型进行改进；(3)以非线性规划问题的最优解及算法理论为基础，引入SUMT算法以及遗传算法对模型的求解进行研究，并在原有的遗传算法基础上，引入自适应调整方法对遗传算法进行改进；以算法的收敛性理论和计算复杂性理论为基础，逐一分析SUMT算法以及遗传算法的收敛性，并比较三种算法的优劣性。

Next the discussion in this study, about an ellipse with an angle of attack and two circular cylinders with different diameters in the flow, the aim of this study is investigated for the ability of the present numerical method by solving the suppression of the vortex shedding flow behind the two-cylinder system which was kind of difficult to reach by a Cartesian grid method. In this study, the suppression of the vortex shedding flow is tested to solve a uniform flow past through two different diameter cylindrical in the flow field with Fractional Step Method and Immersed Boundary Method.The numerical method which we investigated is showed that the results of the problem is appropriable in other literatures.

接著探讨流过具攻角之椭圆柱体流场及流过圆柱抑制涡漩逸出之流场，目的是要研究利用控制圆柱来抑制下游涡流的流场行为，本文采用分步法配合内嵌边界法数值解析一均匀流流经两不同直径的圆柱流场，来测试抑制涡流逸出的问题，根据现有的数值结果发现试验运用了合适的方法且得到令人满意的结果。

Finally, the query processing algorithm based on the load balance data storage method makes all nodes within a ring cooperatively answer the user's query. Although the ring based load balance data storage method and the query processing algorithm consume more energy than the traditional method when answering a user's query, the method makes all nodes within the network consume energy evenly, which avoids the hotspot problem of the traditional method, so the lifetime of sensor networks can be extended.

基于环的负载平衡数据存储协议以及基于此存储协议的查询处理算法虽然在查询处理中所消耗的能量高于传统方法，但可以保证从数据存储到查询处理的整个过程中，网络的所有节点均匀地消耗能量，从而避免了传统方法中的热点问题，达到延长网络寿命的目的。

The topics are divided into three parts: the first part introduced the basic concepts of algorithms, mathematical algorithms and algorithms based on complexity analysis scheduling problem for the second part of the problem and plans to discuss a variety of existing algorithms, and describes the design of commonly used algorithms including sub-rule law, greedy method, dynamic programming, backtracking and branch and bound method, and describes the complexity of the calculation, as well as NP-complete problem the third part of the model on parallel computing and parallel algorithm design techniques.

全书分为3个部分：第一部分介绍算法的基本概念、算法的数学基础以及算法复杂度分析；第二部分针对排序问题和图的问题，讨论各种已有的算法，并介绍常用的算法设计方法包括分治法、贪心法、动态规划法、回溯法和分支限界法，并介绍了计算的复杂性以及NP完全问题；第三部分讲述并行计算模型和并行算法设计技术。

The two stage method by-passes the correspondence problem and ill-posed problem encountered in the general motion analysis, and avoids the local minimum problem of the spatial-constrain-based iteration method.

本文推广了全景图象方法和外极面图象方法，从而使之能适用于具有抖动的图象序列分析，并避免了一般运动视觉方法的不适定问题和特征对应问题、基于空域约束的迭代方法的局部最小化等问题。

Sodium citrate; calcium carbonate; calcium hydroxide; potassium bicorbonate; magnesium carbonate; ferrous sulphate; Zinc sulphate; copper sulphate; manganese sulphate; potassium iodide; sodium selenite.

柠檬酸钠；碳酸钙；氢氧化钙；碳酸氢钾；碳酸镁；硫酸亚铁；硫酸锌；硫酸铜；硫酸锰；碘化钾；亚硒酸钠。

All this to say that I'm glad filmmaking hasn't become completely ironic. I can enjoy an ironic film as much as the next person, but they usually involve a message of some sort. One that's delivered in a smirkingly clever way that requires little in the way of talent.

所有这些都是说，我很高兴电影制作没有变成完全讽刺艺术，我可以和下一个人一样享受讽刺电影的乐趣，虽然他们经常会被划归到一定级别，技术方面不需要很高的才能。