查询词典 extremal function

This paper expounds six functions of context that is omissible function, simplification function, definiteness function, explanation function, generative function and restrictive function.

接着，本文简要概述了中外学者研究语境的情况，阐述了语境的六种功能：省略功能、简化功能、确指功能、解释功能、生成功能和制约功能。

Language functions include informative function, interpersonal function, performative function, emotive function, phatic communion, recreational function and metalingual function.

语言功能包括：信息功能，人际功能，施为功能，感情功能，交感性谈话，娱乐性功能和元语言功能。

Language functions inclucle imformative function,interpersonal function,performative function, emotive function,phatic communion,recreational function and metalingual function.

语言功能包括信息功能，人际功能，施为功能，感情功能，交感性功能，娱乐性功能和元语言功能。

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。

Moreover, some subgroups of Aut are obtained, such asthe inner automorphism group, the central automorphism group, the involutional automorphism group, the first and the second extremal automorphism group.

证明了：当n=0时，Aut中每个元素都是内自同构，且Aut≌C(定理1.12)。n=1时，Aut中每个元素都是有限个内自同构，中心自同构，对合自同构和第一类外自同构的乘积(定理1.13)。

We also determine the extremal chain polygonal cacti with respect to the number of matchings and of independent sets.

另外，我们确定了关于k-匹配和k-独立集的多边形Cacti链的极值链。

Applying the De Caen"s inequality of sum of the squares of the degree and Cauchy"s inequality, we obtain a strict lower bound and a strict upper bound of the largest Laplace eigenvalues only in terms of vertex number of a unicycle graph. Applying the Laplace matrix theorem of trees, we obtain an upper bound of the second smallest Laplace eigenvalues of a unicycle. Extremal graph whose second smallest Laplace eigenvalues reach the obtained upper bound is determined. We also obtain an upper bound of the second largest Laplace eigenvalues in terms of vertex number of the largest connected branch of unicycle graph, and obtain a theoretical method to calculate the second largest Laplace eigenvalues of unicycle graph. We obtain an upper bound of any Laplace eigenvalues in terms of vertex number of a unicycle graph. We also obtain the distribution of Laplace eigenvalues in the inter [0,n] in terms of the matching number.

本文得到了以下几个方面的结果： 1、利用图度平方和的De Caen不等式和Cauchy不等式给出单圈图的最大Laplace特征值仅依赖于顶点数的严格的上下界；利用树的Laplace理论给出了单圈图次小Laplace特征值的一个上界，并刻画了达到该上界的极图；利用子图的连通分支的顶点个数给出了单圈图次大Laplace特征值的一个上界，并给出了单圈图次大Laplace特征值一个理论上的一个求法；利用单圈图的阶数给出了其一般Laplace特征值的一个上界；利用单圈图的匹配数给出其Laplace矩阵谱在区间[0，n]上的分布情况。

It introduces normal families, including equicontinuity, Arzela's theorem, Montel's and Marty's theorems, Zalcman's lemma; univalent functions, including Koebe's and de Branges' theorems; quasiconformal mappings, including conformal length, extremal length, geometric, analytic and metric definitions, quasiconformal extension, distortion theorem, quasicircle; iteration of rational functions, including fixed points, the Fatou and Julia sets, periodic points, Siegel disks, the Hausdorff measure and dimension, etc.

具体为：正规族，包括等度连续性、Arzela定理、Montel和Marty正规定则、Zalcman引理；单叶函数，包括Koebe定理和de Branges定理；拟共形映照，包括共形模、极值长度、几何、分析和距离定义、拟共形延拓、偏差定理，拟圆周等；有理函数的迭代，包括不动点、Fatou集和Julia集、周期点、Siegel盘、Hausdorff测度和维数，等等。在教学内容上充分体现综合性、前沿性。

For example,a generalization of linear algebra is developed in which "convex bifunctions" are the analogues of linear transformations,and "inner products" of convex sets and functions are defined in terms of the extremal values in Fenchel's Duality Theorem.

例如，一类线性代数的推广形式在凸双重函数中发展起来，而凸双重函数是线性变换的类似情况，凸集和凸函数的内积是根据 Fenchel 对偶理论的极值定义的。

The results of backwater calculation at Changzhou Reservoir demonstrated that, there exited an extremal value of backwater length while the water level was 18.6m and the criterion for the terminal of backwater was 0.1m. The phenomenon of extremum exiting will be unobvious if the criterion was 0.2m or 0.3m.

长洲枢纽回水计算结果表明：当水库在18.6m水位运行，末端判别标准取0.1m时，其回水长度随流量变化存在极值现象；但末端标准取0.2m与0.3m时，极值现象不明显。

Who? I never heard of him, Paul said, before asking teammate James Posey if he had heard of him.

赛后，科比说，他一直都是一名非常出色的射手，今天他打得很棒。

When I joined the company, I rotated around the different sections.

我加入这个公司时，轮换过几个不同的部门。