应用函数

In the chapter 7, by virtue of Ky Fan's results in operator spectral theory, we convert several meaningful conclustions in the theory of Holomorphic fucntions into the corresponding results of operator functions in Hilbert space.

在第7章中，我们应用算子谱集理论中的Ky Fan关于Von Neauman不等式的一个结果，把解析函数论中一些有意义的结论转化到Hilbert空间的算子函数上来建立相应的结果。

These models include logarithmic function, exponential function, hyperbolic function and system scientific models such as grey model, BP neural network, time series, kalman filter and so on. And ground settlement due to two box culvert pushing is simulated by Peck experiential formula.

3介绍了地下工程中常用的数据分析建模方法并给出应用实例，包括概率统计模型中的对数函数、指数函数、双曲函数，系统科学中的灰色系统、BP神经网络、时间序列、Kalman滤波等，利用Peck公式对双孔箱涵错距顶进引起的地表沉降进行了模拟。

Then, the system is linearized by variational approach, the local null controllability is proved by applying a generalized implicit function theorem and combining the good property of the solution mapping.

首先通过对系统线性化，构造泛函，利用对偶方程，给出控制函数具体形式的办法得到系统的逼近能控性；然后采用变分方法对系统线性化，再结合解映射好的性质，应用推广的隐函数定理，证明系统的局部零能控性；最后利用局部零能控性和逼近能控性结合给出系统零能控的结论。

This article discusses the use of the theorem of the residues to calculate Cauchy's Principal values of the improper integral, where auxiliary function has poles of higher order on the real axis and proposes a new theorem of culcuation.

在复函中应用留数定理计算广义积分的科希主值时，许多著作仅讨论了辅助函数在实轴上有一阶极点的情形[1-3]，有的则认为：辅助函数"在实轴上的奇点不能是二阶或二阶以上的极点["4，5]。

Finally, it analyses the time complexity of the algorithm and researches how it is influenced by culture operator.3、The paper presents the evaluation standard of the GA's application capability. Basing on characters such as continuity, multi-peak, vibration, randomicity as well as large-scale, five functions are selected to test search ability and robustcity of co-evolution algorithm. Finally, it analyses the simulation result and researches the influence of algorithm brought by culture operators.4、Basing on the concept of collection overcast, it researches the task distribution issue and constitutes delaminated math model on task distribution issue. It puts out the co-evolution algorithm of subtask's decomposing. The experiment compare IGA、SGA to CN and validates the efficiency of co-evolution algorithm on the NP completeness issue.5、Being aim at the optimization issue of load of antenna near ground, it combines many GA strategies and puts forward strategic meme. And it puts out co-evolution algorithm of load of antenna design. And it emulates the optimization design of load of antenna near ground. Finally, it valuates the co-evolution algorithm's efficiency on the continuum search issues of multi-variable and multi-peak value.6、Being aiming at the knowledge of image model matching, it adopts single meme and real code. It puts out fast co-evolution matching algorithm strategy. Basing on NPROD resemble measurement, I emulate the indiscrimination model matching and discrimination model matching. Finally, it valuates the co-evolution algorithm's efficiency on the real code and real time search issue.

分析了算法的时间复杂度，研究了文化算子对算法时间复杂度的影响。3、提出了GA的应用性能评价标准，从连续性、多峰性、随机性、振荡性、广域性多个角度出发选择五个测试函数，对共同进化算法的搜索性能和鲁棒性作了函数优化的性能测试，分析了仿真结果，研究了文化算子对算法的影响。4、基于集覆盖的概念，研究了MAS中的任务分配问题，建立了任务分配问题的分层数学模型，给出了子任务分解共同进化算法，实验比较了IGA、SGA、CN，验证了共同进化算法对NP完全问题的有效性。5、针对近地天线加载优化设计问题，结合多种改进GA策略，提出了策略型拟子，给出天线加载设计的共同进化算法，对有耗半空间对称偶极子天线加载优化设计作了仿真实验，验证了共同进化算法对多变量多峰连续搜索问题上的有效性。6、针对图像模板匹配问题的领域知识，采用单类拟子和实数编码，给出快速共同进化匹配算法策略，基于NPROD相似度测度，仿真试验了无差别和有差别模板匹配，验证了共同进化算法对实数编码和实时性搜索问题上的有效性。

This paper analyses the homogenous tendency of open-end fund at first,pointing out that unperfect development of market and investors' immature investment opinions is the origin of such phenomena. Secondly,having compared the fund sizes and purchase fee rates of 25 open-end funds in China,conclude that there are problems of diseconomy of scale and indistinctive relativity between fees and achievement in Chinese open-end funds. Then this paper introduces benefit and cost function to analyze the problem of lack of motivation and constrain mechanism towards fund managers because of unreasonable fees in China. Thirdly,this paper analyze funds managers' normal hazards by static game model,and then points out fund managers have serious tunneling behaviors in Chinese open-end fund industry. In the end,this paper analyzes the causes of liquidity risk of open-end fun and the particularity of liquidity risk of open-end fund in China,and concludes that liquidity risk in Chinese open-end fund industry is higher through calculating the rates of share change and comparing the portfolio selections of top 20 open-end funds in China.

本文首先分析了我国目前存在的基金产品同质化现象，指出市场发展的不完善以及投资者投资理念的不成熟是同质化的根源所在；其次对比了我国现有的25只开放式基金的规模和申购费率，得出了我国开放式基金存在着规模效应不明显以及基金业绩与费率相关性不强的问题，并引入效益函数和成本函数分析了由于我国开放式基金费率不合理引发的基金管理者激励约束机制缺失的问题；再次，应用静态博弈模型分析了基金管理人面临的道德风险，指出目前我国开放式基金由于监管机制脆弱而存在着较为严重的管理者利益输送行为；最后，分析了开放式基金流动性风险的形成原因以及我国基金市场流动性风险的特殊性，并通过计算目前我国基金资产规模前20位的开放式基金的份额变动率以及比较它们的投资组合结构，得出了目前我国开放式基金流动性风险偏大的结论。

To perfect it,this paper,by using the basic knowledge in definite integral Newton—'Leibniz formula,offers an applied method of definite integral,partial quantity function infinitesimal calculus method,which is both theoretically reliable and easily applied.

一般教材都使用"微元法"给出被积函数，这一方法在理论上并非严格，为弥补该方法在理论上的不足之处，将定积分的应用方法总结为"部分量函数微积分法"。

The calcalus learns is a mathematic branch connected closely with scientific application.Infinitesimal is an important componant in the theoretical system and has an outstanding effect on the forming of the basis and conception of the theory. infinitesimal ; calculus ; the calculus learns ; differential calculus ; integral calculus

引 言微积分学是建立在实数、函数和极限理论基础上，研究函数微分、积分以及有关概念与应用的数学分支。17世纪精密科学的飞速发展，天文学、力学、光学、工业技术要求数学彻底革新，导致了无穷小概念的问世，促使费马增量理论开创微分学的先河，同时奠定了柯西的极限理论。

It has made some essential improvements to the related important results and has ingeniously given the simple proof.

应用贝塔函数的性质，研究马尔科夫链的首中目标函数的原点矩，对有关重要结果做了一些必要的改进，并给出了简单证明。

This paper discusses the conditions of integrability of the function and study how to use the application of relevant theorem to determine the specific function of the integrability, and other related issues.

本文探讨了函数可积性条件以及如何应用相关定理来判定特殊函数可积性等相关问题。

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。