定理的

In this paper,the methods of distance geometry are used to explore the angles of a simplex ,and the second cosine law of a simplex in another form is obtained.

运用距离几何的研究方法，研究了和单形相关的角，给出了单形第二余弦定理的另一种形式，以此为基础得出了BartO¨s体积公式一种简洁的证法；探讨了单形的几个体积公式之间的联系，并推广了单形的一个体积公式。

Then with the relations between the output of interface 1 and the input of interface 2, double refraction and/or double internal reflection in a crystal along two successive interfaces can be calculated.

在惠更斯定理的基础上，对从空气到晶体的折射、从晶体到空气的折射、近光轴入射的晶体全内反射和近光轴反射的晶体全内反射这四种单个界面上的双折射双反射情况，给出了同时适用于o光和e光的光线方向和光波法线方向的普遍公式。

Four seminars of special topics at an accessible level were organized at 4:00 - 5:00pm each afternoon. Prof. Shufang Su of the University of Arizona gave the first seminar on the ''Dark matter search and the LHC". Prof. Tao Han of the University of Wisconsin-Madison spoke on the ''Methodology of collider phenomenology" on the second day. Prof. Hsiang-Nan Li of the Academia Sinica, Taipei, gave a talk on the ''Perturbative QCD and the factorization Theorem". Prof. Lian-Tao Wang finished up in the last day to speak on the ''Monte Carlo techniques in high energy physics".

每个下午16：00-17：00是专题讲座时间，分别由美国亚利桑那大学的苏淑芳教授做了有关"寻找暗物质与LHC"的讲座，美国威斯康星-麦迪逊大学的韩涛教授做了有关"对撞机现象学研究的方法"的讲座，台湾中央研究员的李湘楠教授做了"微扰QCD和因子化定理"的讲座，王连涛教授最后做了"高能物理中的蒙特卡洛方法"的讲座。

This paper analyzes the property of FNT, the characteristics of Kernel Matrixes and the relationship between Kernel Matrixes of two-dimensional Fermat number transform whose modulus are odd prime and image data, and presents and proves the deduction of the theorem which demonstrates the relationship among different transform matrixes corresponding to different roots of unity under the same odd prime modulus of FNT, and reveals the essence of FNT whose modulus are odd prime.

分析二维Fermat数变换性质、正反变换核的特点、二维模为奇素数的二维Fermat数变换正反变换核以及与图像数据的关系，提出了不同单位根对应变换矩阵间的关系定理的推论，证明了该推论中模为奇素数的二维Fermat数变换的不同单位根对应的变换矩阵之间的关系，揭示了模为奇素数的二维Fermat数变换的本质，在构造离散图象数据Fermat数变换时为单位根的选择奠定了理论基础。

Secondly, in view of the identification problem after the change of MRAPC structure, the research has been extended to a kind of continuous system with time delay, and the robust convergence analysis for this model reference adaptive identification algorithm has been given. Using the intermediate value theorem in this analysis, the approximate problem in original analysis has been solved partly.

2针对MRAPC算法结构改变后产生的自适应辨识问题，考虑一种更一般的具有实零极点的时滞连续系统的模型参考自适应辨识算法，作者分析了该算法的鲁棒收敛性，在运用微分中值定理的基础上，解决了原有的收敛性分析中存在的近似问题。

On the basis of introducing the fixed point of Banach theorem, this paper firstly elaborates the important application of the existence of the solution of the linear algebraic equation and the ordinary differential equation, then it narrates the important application of obtaining the leading Newton repetitive process and the natural number the inferior square root and the equation root in the approximate calculation.

本文在介绍Banach不动点定理的基础上，首先阐述了其在线形代数方程、常微分方程解的存在性中的重要应用；然后讲述了其在求导Newton迭代法、求自然数的次平方根、求方程根的近似计算中的重要应用；最后，介绍了其在求一类递推数列极限中的应用。

Since the concept of NA have a lot of applications in multivariate statistical analysis, reliability theory and percolation theory, various aspects of NA are significant and have been investigated by a host of scholars Fist, we give some Fuk-Nagaev type probability inequalities, moment inequalities of maximal partial sum for sequence of NA random variables, and some strong law of large numbers and complete convergence for sequence of NA random variables are obtained.

在本论文中我们对不要求强平稳或同分布的NA随机变量列进行了多方面的研究：首先对NA列建立了一组具有NA特点的关于最大部分和的Fuk-Nagaev型概率不等式及其关于某一类特定函数的矩不等式，它们在后续给出的极限定理的证明中发挥着重要作用；研究了具有不同分布的NA列的强收敛性，如对NA列建立了更一般条件下的Wittmann型强大数律及完全收敛性，同时也进一步改进了R。

It including the pitch point electric current equation andthe return route voltage equation two parts, former pointed out that,regarding any pitch point (3 or 3 above legs points of intersection),flows in and flows out the pitch point various electric currents algebra and is zero, this is the constant condition request, latter pointed out, regarding any closed path, each part of loss of voltage algebra and is zero, this is the electrostatic field ring circuit theorem result, two constituted the complete system of equations.

它包括沥青点电流方程强大的回路电压方程由两部分组成，前者指出，对于任何节点（ 3层或3条以上的腿分的交汇点），流入和流出草地点不同电流代数和是为零，这是恒定的条件要求，后者指出，对于任何封闭道路，每部分的损失电压代数和为零，这是静电场的环形电路定理的结果，构成了两个完整的系统方程式。

By using the new method, it relaxes the restriction of the related results in the Pa-per[31],extends the mainly results of the Paper[31], obtains the existence and uniqueness of a positive periodic solution, proves the existence and the uniform asymptotic stability of the almost periodic solutions of the studying model.

通过采用新的方法，减弱了文[31]的相应定理的条件，同时考虑了新的因素，推广了文[31]的结论，得到了所讨论方程的周期解存在的充分条件及其概周期解存在的充分性和一致渐近性。

If you hope the certificate, when seeks for the Fermat's theorem with ten year the primary proof defeat to be possible to come back, you definitely may prove, from the Maxwell time, these smatters to mathematics the human in starts with more and more complex mark cover mathematics thought insufficiency, hides constructs the natural law in the studio, gains God's favor.

如果你希望证明，当用十年的时间寻找费马大定理的初等证明的失败可回来，你完全可证明，自麦克斯韦时代起，那些对数学一知半解的人就在开始用越来越复杂的符号掩盖数学思维的不足，躲在书房里构造自然规律，获取上帝的宠幸。

We have no common name for a mime of Sophron or Xenarchus and a Socratic Conversation; and we should still be without one even if the imitation in the two instances were in trimeters or elegiacs or some other kind of verse--though it is the way with people to tack on 'poet' to the name of a metre, and talk of elegiac-poets and epic-poets, thinking that they call them poets not by reason of the imitative nature of their work, but indiscriminately by reason of the metre they write in.

索夫农 、森那库斯和苏格拉底式的对话采用的模仿没有一个公共的名称；三音步诗、挽歌体或其他类型的诗的模仿也没有——人们把&诗人&这一名词和格律名称结合到一起，称之为挽歌体诗人或者史诗诗人，他们被称为诗人，似乎只是因为遵守格律写作，而非他们作品的模仿本质。

The relationship between communicative competence and grammar teaching should be that of the ends and the means.

交际能力和语法的关系应该是目标与途径的关系。