查询词典 bessel function of the second kind

The dissertation begins with the investigation of the fruitful research on function of debt governance in developed countries such as UK, US, Japan and Germany, and attempts to fill some important gaps in our understanding of inefficient investment controlling function, bankruptcy threat function and function of creditor's participating in corporate governance; Second, Theoretical and empirical study is done on whether three functions of debt governance can work well in state-owned listed companies. The result shows that so far the function of debt governance can't work well as expected; Third, after examining the special institutional background of China, the dissertation argues, grounded on the research results, that the essential institutional reasons include creditors and debtors being "quasi" market participants, the "quasi-equal" debtor-creditor relationships and the "quasi" market rules; Finally, it comes to the conclusion that the fundamental methods to change the situation are to encourage the supervision of banks, to deepen the reform of state-owned companies and to fulfill the outside institutional requirements for guaranteeing the function of debt governance.

文章首先借鉴英美、日德等发达国家对债权治理功效的已有研究成果，总结归纳出负债抑制非效率投资功效、负债的破产威胁功效以及债权人直接介入公司治理功效；其次，分别对三大债权治理功效在我国国有控股上市公司中能否发挥作用进行理论解析和实证检验，研究发现，目前我国企业债权治理功效不能发挥应有的作用；再次，针对研究结论，从我国特有的制度背景出发，分析其症结，认为我国目前的债权债务双方的&准&市场主体、债权债务双方的&准&平等关系、&准&市场游戏规则是导致债权治理功效不能发挥作用的根本制度原因；最后，提出解决对策，认为增强银行的监督激励、深化国有企业的改革以及实现债权治理功效的外在制度要求是债权治理功效发挥作用的根本途径。

At the beginning of this thesis, the author gives the definition and the equivalent definition of convex function, and then proves the equivalent relationship between them. Secondly the author proposes the decision theorem of convex function which provides a judgment basis of whether a function is a convex function. Thirdly the author summarizes and proves the convex function's operational, basic, differential and integral property. Finally the author proves several famous convex function inequalities, such as Jensen inequality, Holder inequality, Cauchy inequality. The author also provides the application of these inequalities and illustrates the importance of convex function's basic inequality and integral property in the proving process.

本文开始给出了凸函数的定义及等价定义，并证明了它们之间的等价关系；接着提出了凸函数的判定定理，对一个函数是否是凸函数提供判断依据；然后对凸函数的运算性质、基本性质、微分性质、积分性质四个方面的性质进行了总结，并给予了证明；最后证明了凸函数的几个著名不等式詹森不等式、赫尔德不等式、柯西不等式，给出了这几个不等式的一些应用实例，并举例说明凸函数的基本性质和积分性质在不等式证明过程中的重要作用。

At the beginning of this thesis, the author gives the definition and the equivalent definition of convex function, and then proves the equivalent relationship between them. Secondly the author proposes the decision theorem of convex function which provides a judgment basis of whether a function is a convex function. Thirdly the author summarizes and proves the convex function's operational ,basic , differential and integral property. Finally the author proves several famous convex function inequalities, such as Jensen inequality, Holder inequality, Cauchy inequality and Minkowski inequality. The author also provides the application of these inequalities and illustrates the importance of convex function's basic inequality and integral property in the proving process.

本文开始给出了凸函数的定义及等价定义，并证明了它们之间的等价关系；接着提出了凸函数的判定定理，对一个函数是否是凸函数提供判断依据；然后对凸函数的运算性质、基本性质、微分性质、积分性质四个方面的性质进行了总结，并给予了证明；最后证明了凸函数的几个著名不等式詹森不等式、赫尔德不等式、柯西不等式和闵可夫斯基不等式以及这几个不等式的应用，并举例说明凸函数的基本性质和积分性质在不等式证明过程中的重要作用。

The linear function applicable scope is broad, when the reservoir turnover water volume and the time, the student leaves the staircase mouth population and the time and the time and the motion communication speech spends the comparison and so on the relational question has the important application;The study linear function, may deepen in the life the linear question understanding and the understanding, is helpful in solves some simple function problem; The linear function some problem solving method has the universality in mathematics, the linear function related theory may use for to solve some other mathematics problem, For instance the dual linear equation group, a Yuan inequality, a Yuan quadratic equation most value question and some complex mathematics question, the light is studies the linear function the theory is insufficient, the key is can utilize actual the linear function goes is our final goal.

一次函数的适用范围广，在蓄水池的进出水量与时间、学生出楼梯口人数与时间与时间和移动通讯的话费比较等的关系问题时均有重要的应用；学习一次函数，可以加深生活中线性问题的认识与理解，有助于解决一些简单的函数问题；一次函数的一些解题方法在数学中具有普遍性，一次函数的有关理论可以用来解决一些其它的数学问题，比如二元一次方程组、一元一次不等式、一元二次方程的最值问题及一些复杂的数学问题，光是学习一次函数的理论是不够的，关键是能把一次函数运用到实际中去才是我们最终的目的。

On the basis of extending the concepts of the derived function, primitive function and integration of interval-valued function to complex interval-valued function and using the descomposition theorem of complex fuzzy set, the derived function, primitive function and integration of complex fuzzy set-valued function and some properties of them are proved.

2在国际上最先引入了复模糊集合与复模糊数的基本概念，证明了它们的基本代数运算的封闭性，并且其运算可通过α水平复集合的相应运算来进行

The total of these two sorts of functions is called S-functions The indicial function, sinusoidal function, cosinusoidal function, hyperbolic sinusoidal function, hyperbolic cosinusoidal function, trigonometric function of n-order and hyperbolic function of n-order etch are all belong to S-functions.

指数函数、正弦函数、余弦函数、双曲正弦、双曲余弦、n阶三角函数和n阶双曲函数等。都是S－函数的特殊形式。文中证明了关于S－函数及其各阶导数的性质的三个定理。

This book is divided into three parts: the first part is 《United Code of Natural Stone》GB（17670—1999）embodying over 300 kind of national standard natural stones, in which include over 240 kind of granites, over 60 kind of marbles and 8 kind of slabstones. The second part embodies more than 120 kind of natural stones which are widely used in the architecture area in our country. The third part is the complementary part edited by 《United Code of Natural Stone》standard editing workgroup, in which increase over 60 new kind of stones newly declared by the enterprises.

图鉴》共分三大部分；第一部分为《天然石材统一编号》GB（17670—1999），共收录了国家标准天然石材三百余种；其中包括花岗石240余种、大理石60余种、板石8种；第二部分收录了在我国建筑领域应用广泛的国外天然石材120余种；第三部分为《天然石材统一编号》标准修订工作组编订补充部分，增加了企业最新申报的新品种60余种。

The main products are:various kingds of middle-high grade shell fabric of polyester polyurethane kind,polyamide polyurethane kind,mesh kind,jacqured kind,looped pile kind,cotton-polyurethane kind,cotton flannel kind and others.

本公司主要生产化纤、T/R、T/C、全棉等系列产品，产品多达几百种，主要产品有：涤氨类、锦氨类、网眼类、提花类、毛圈类、棉氨类、拉架类、绒布类等各种中高档面料，还可根据客户要求进行印花、起绒、烂花、烫金及染色后整理等特殊处理。

Analysis compared with different expression of temperature distribution on deposition and non-deposition in the tested inside-wall of pipeline,a nondimensional temperature function was founded to get a conclusion according to energy equation.Referring to Bessel function,a calculation equation of temperature distribution in the surface and heat-flow density of wax deposit layer in the laminar flow is deduced,as well as temperature distribution inside.This method provides a theoretic basis on the theory law o...

通过对试验环道上测试段相关数据的测试，对比分析测试段管壁有沉积物和无沉积物时测试段管壁内温度分布的不同表达式，根据能量方程建立了无量纲温度分布方程，利用贝赛尔函数推导出原油在层流状态下沉积层表面温度分布、沉积层热流密度、油流温度分布等相关温度场的计算公式，为研究蜡沉积规律，定性分析管路结蜡层厚度和制定合理的清管方案奠定了理论基础。

In this paper, based on the Bessel function, an Ordinary Differential Equation was derived for time-domain Green function and its gradients in this paper. A new efficient calculation method based on solving ODE is proposed.

在探索求解精度和计算效率的矛盾中，提出了结合求解常微分方程的节点制表、节点间插值的快速计算Gre en函数的方法并据此开发了一套三维深水时域Green函数的数值计算程序。

Anna: No, I've got a hangover.

不是，我昨晚宿醉了。

We head into the mountains in Su's new Land Cruiser, stop for lunch at a scenic restaurant and then hang around drinking beer and eating fruit as two of his employees attempt to lure the birds with a tape recording of the fowl's mating call.

我们坐上苏的巡逻车向山顶出发，在一家风景优美的餐馆吃了中饭。然后我们喝着啤酒吃着水果四处逛。