解析证明

In 2D eddy current field computation, for the first time, this dissertation proves that there is an analytical solution of infinite series convegence for the problems satisfying the MT expansion condition, derives the MT general solution formula and the using laws, proves or explains the using rules that are used in the GMT and but they can't be proven or explained by the GMT, and solves several real engineering examples of 2D eddy current field boundary-value problems by the MT.

本文从电磁理论和有关数学定理出发，通过引入内极、外极、内交角的概念，建立一种新的电磁场计算体系——电磁场分析中的多极理论；从理论上证明，在电磁场分析中存在一种无穷级数收敛，且有一定普遍性的解析解。

To be specific,its generalized characteristic polynomial has positive double roots,which we proved further has only a double,root by using the affine transformation and inverse affine transformation.

为了更好地进行干涉判断，根据椭圆-椭圆外切的代数条件——广义特征多项式具有正的重根，以及进一步证明出的该正重根的唯一性结论，利用仿射变换和逆变换方法，推导出了椭圆-椭圆的不适合边界解析方程。

In the present paper, we shall show that there are many elliptic invariant tori of the equation for a given analytic potential which is not necessary to be constant.

在这篇文章中，证明对于给定的解析势函数，不一定是常数，方程存在许多椭圆不变环面，与 Kuksin 和 Poschel 的文章不同的是，不变环面上承载的是高频的拟周期解。

By the deep analysis on winding eddy current loss mechanism of the transformer in forward-flyback converter, a new idea is proposed that the magnetic field in winding window of the transformer can be considered as the combination of the two components, that is, transformer field component and inductor field component. The orthogonal characteristics of the two magnetic field components in CCM are further revealed.

通过深入研究正反激变换器中的变压器线圈涡流损耗机制，指出其线圈窗口磁场可分离为变压器特性的磁场和电感器特性的磁场，证明了连续导通模式时上述两种特性磁场为正交的，进而提出一新型线圈损耗解析建模方法，新方法可以有效提高模型精度。

This paper set out from the high order shear deformation theory at first, and utilize the spline finite point method to set up a new dynamic model of piezoelectric intellectual plate. Secondly ,a corresponding MATLAB program is written according to the theory, and has analysed the deformation of the piezoelectric intellectual plate. In the end , this paper has analysed the vibration control of the piezoelectric intellectual plate. Some results are compared with the analytic values, and have proved the rationality of the results of this paper.

本文首先从高阶剪切变形理论出发，利用样条有限点法，建立了压电智能层合板新的动力模型；其次，利用MATLAB语言编写了相应的计算机程序，对压电智能层合板的变形进行了分析；最后分析了压电智能层合板振动控制问题；其中一部分结果与相应的解析解作了详细的比较，证明了本文结果的合理性。

A combinatorial identity is obtained:=:~z 2r扟32-rn-iJ As main result of this paper, in section two, the convolution梩ype identities emerge from our discussion about Lagrange formula whom in author 憇 view can be taken as the inherent characteristic of Lagrange formula but have been ignored fOi so long time.

第一章对拉格朗日反演在Riordan群理论中的应用进行了介绍，证明了一个组合等式：第二章通过对拉格朗日反演定理本身的分析，得到一个对任意的形式幂级数都适用的三个拟卷积公式，这些公式体现了任意能在零点解析的函数的内在性质。

The existence and uniqueness of solution for FROE is proven,and its analytical solution is given.

证明了分数阶Relaxation-Oscillation方程解的存在惟一性，并利用格林函数给出了它的解析解。

In condensed matter physics,we present an analyticaltopological current theory of point defects which unifies the topologicalquantization,homotopic classification and evolution of defects in oneframework.The number of possible branch lines is shown to be 2s once atmost at the bifurcation point of order parameter with degeneracy s and thetopological charge is conserved during bifurcation processes.

论文在凝聚态物理中给出了缺陷解析的拓扑流理论，将缺陷的拓扑量子化，同伦分类和演化统一在一个框架之内，并证明了在序参量退化度为s的分岔点，缺陷分岔数目最多为2的s次方，而且在分岔过程中拓扑荷是守恒的。

It is proved by the analytical and numerical method that the modulus of the Z transform of a finite impulse response sequence has no extreme values at poles (with maximums along imaginary axis and no extreme values along real axis), and the negative second order derivative of the modulus normalized along frequency axis with respect to angular frequency has maximums at the poles.

根据实测瞬态电磁脉冲响应，较好地反演了导体球和导体长椭球的冲激响应，测得了它们的雷达截面和谐振频率。用解析与数值相结合的方法证明了有限冲激响应序列Z变换的模在极点无极值（沿虚轴有极大值，沿实轴无极值），而沿频率轴的归一化值对角频率的负二阶导数在极点有极大值。

Applications to real aeroengine starting process modeling validate that the proposed method can generate more robust and interpretable models.

实际发动机起动过程建模应用案例证明，这种思路对于具有非线性输入输出关系特征的数据可以产生鲁棒性好、解析性强的线参数非线性模型。

Neither the killing of Mr Zarqawi nor any breakthrough on the political front will stop the insurgency and the fratricidal murders in their tracks.

在对危险的南部地区访问时，他斥责什叶派民兵领导人对中央集权的挑衅行为。

In fact,I've got him on the satellite mobile right now.

实际上 我们已接通卫星可视电话了