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A integral equation formulation is derived based on modified Green's operator with norm less or equal to one. The integral equation is convergent for any conductivity distribution and frequency if iterative solvers are used.

利用范数小于或等于1的修正Green算子得到各向异性地层中的新积分方程，由于满足压缩映射条件，该积分方程在任意参数条件下总是迭代收敛的。

A series convergent to any given number could be derived with this method.

通过反复地使用这个算法，可以非常容易地求得被逼近实数的一系列渐近分数。

Thus, we have difficulties in becoming conversant with derived units.

因此，我们有困难的单位越来越熟悉衍生。

Based on the convex analysis and duality theorem, a kinematic shakedown formulation for 3-D problems is derived.

根据下限定理，通过引入P泛数，并采用应力函数法构造平衡应力场，建立了极限下限分析的有限元数学规划格式。

A convex combination condition and a switching strategy are derived.

针对离散单时滞切换系统，提出了一个使系统渐近稳定的充分性条件，给出了该系统的无记忆状态反馈镇定和无记忆输出反馈镇定，并将结果推广到不确定离散时滞切换系统的鲁棒镇定。

The differences of optical properties between the convex refractive microlens arrays and the conventional convex thin lens are derived.

给出了凸型折射微透镜与传统的凸形薄透镜在常规光学特性方面的差异。

The algorithm for calculating natural neighbour co-ordinates and their derivatives based on Lasserre's algorithm for the volume of a convex polyhedron was derived and the generalized flowchart for NEM in 3D case was presented.

文中推导了基于 Lasserre凸多面体体积公式的三维自然邻结点坐标及其导数的算法，给出了三维自然单元法算法的流程图。

Firstly the paper calculate the contribution of industrialstructure transformation to economic growth in Guangdong, in order to confirm therelation between the industrial structure transformation and economic growth, aquantitative analysis on the cross-section data and time array data of the GDP ofGuangdong have be done in this paper. It adopts the method of Co-integration, to dealwith the time array data, so as to ensure the result derived out has more convincingness.

首先通过对广东GDP的横截面数据和时间序列数据的处理，来确认产业结构转型与经济增长之间关系，并采用协整的方法来处理时间序列数据，以保证这样得出的联系更具有说服力，克服了以往采用单一方法进行分析的不足。

This text tries to optimize the physical experiment teaching of junior middle school, will demonstrate partly the experiment will be dealt with to students, improve students and study the physical interest, strengthen students' sense of participation; Will demonstrate partly the experiment changes into and divides into groups to probe into the experiment, enable students to practise physics and probe into the course, grasp the scientific research approach; Organize students to join the interest group, make the teaching aid of physical experiment, strengthen student's manipulative ability, arouse students and study physical enthusiasm; Encourage students to develop the new experiment in the experiment lesson, protect students' curiosity; Increase the interesting experiment and verify the experiment, strengthen student's perceptual knowledge to the physical phenomenon, and broaden student's outlook and thinking; Increase experiment and phenomenon involved in the exercise flexibly, utilize practice to prove the theory is derived, strengthen convincingness.

本文尝试优化初中物理实验教学，将部分演示实验交给学生处理，提高学生学习物理兴趣，增强学生的参与感；将部分演示实验改为分组探究实验，让学生能实践物理探究过程，掌握科学研究方法；组织学生参加兴趣小组，制作物理实验教具，增强学生动手能力，调动学生学习物理积极性；在实验课中鼓励学生开发新实验，保护学生的好奇心；增加趣味实验以及验证实验，加强学生对物理现象的感性认识，并且开阔学生的视野和思维；灵活增加习题中涉及到的实验和现象，利用实践证明理论推导，增强说服力。

From the most basic signal analysis, digital signal processing, and the Fourier transform convolution theorem was derived and that, and with MATLAB simulation.

本文从最基本的信号系统分析、数字信号处理过程开始，对傅里叶变换以及卷积定理进行了推导和证明，并且用MATLAB进行仿真。

I will endeavour to find you some assistance.

我尽力帮你找人帮忙。

At first I only know bruck is the idol of American younglings, afterwards I returned back to Taiwan ,even in Beijing last year ,I saw her poster everywhere, I was so surprised at her charm.

起初我只晓得布鲁克雷德丝是美国少男少女崇拜的偶像，后来回台湾，甚至去年在北京，居然也四处看见她的海报，才惊讶她的魅力之大。