四分法

The first seven chapters- about one quarter of the book are set at Pencey Prep, a private school for boys in eastern Pennsylvania.

本书的前7章节也就是大约前四分之一，发生地点被设定在潘西中学，一所宾夕法尼亚洲东部的私立男校。

Using finite difference time domain method, the electromagnetic field distribution of THz wave is simulated in a THz 2D PC splitter and by plane wave expansion method the dispersion relation and defect modes are achieved in a THz rotated PC waveguide.5. A woodpile three-dimensional (3D) PC with face-centered-tetragonal symmetry is one of the most popular 3D PCs because of its favorable band gap characteristics. Based on the woodpile fct lattice structure, we propose a novel woodpile THz lattice structure with comparatively decreased symmetry, better band gap properties and easy fabrication by varying some structure parameters.

计算结果为利用非线性光学差频方法产生THz辐射源的实验研究提供了深入和全面的理论基础；四、利用平面波展开法，通过改变二维THz光子晶体的结构参数，对二维THz光子晶体完全带隙进行了优化，分析出两种适合工作在THz波段的二维光子晶体结构；采用时域有限差分法和平面波展开法，计算出THz波在二维光子晶体"T"型分束波导，45度旋转波导中传输的电磁场分布以及缺陷模；五、Woodpile面心立方四角结构是三维光子晶体中被研究最广泛的结构之一。

Brett Favre is probably best known for the most consecutive starts by a quarterback in the NFL.

布雷特米尼戈法莱可能是最出名的最开始，连续由四分卫，在还在。

In Chapter 4, the pricing of Asian geometric average option under stochastic interest rates is studied, assuming CIR model for the interest rates. Asian option is strongly dependent with path, usually have a long duration, the movement of interest rates becomes more important in pricing such long-dated options. The CIR interest rate model not only considered the interest rate behavior has mean-reverting but also take into account that the fluctuation rate is direct proportion with the square root of its interest rate. Finally, the method of finite difference for the Asian geometric average option under CIR interest rate model is given.

第四章在利率满足CIR利率模型的假设下，研究了几何亚式期权的定价公式，亚式期权是强路经依赖性期权，通常有效期较长，在进行较长时期的投资时，利率的变化是非常重要的，CIR利率模型不仅考虑了利率行为具有均数回归的现象，而且还考虑其波动性的大小与利率大小的平方根成正比，最后给出了CIR利率模型下的几何亚式期权定价的有限差分法。

On the whole, we do as follows: Firstly, we list some conceptions and lemmas for later use. Secondly, we define δ-fine partitions for infinite interval and integral of vector-valued functions on infinite interval, and discuss the properties of integral, and characterize its primitives...

主要包括以下五部分内容：在第一部分中，我们介绍了本文所用到的基本概念和引理；在第二部分中，通过定义无穷区间上δ-精细的分法，我们给出了无穷区间上向量值函数的积分的定义，并讨论其性质，还给出了原函数的刻划；在本文的第三部分中，我们着重讨论了无穷区间上向量值函数积分的收敛定理；在本文的在第四部分中，我们首先应用无穷区间上向量值函数积分的收敛定理给出了常微分方程整体广义解的存在性定理，其次应用强积分对Banach空间常微分方程广义解进行了讨论；最后，在第五部分中，我们将模糊积分推广到无穷区间上并给出了其数值计算方法。

When we analyse rigid body with the theory of limit equilibrium, we do not obtain always reasonable maximal principle in physics, and the maximal value is the result of soil plasticity deformation.(2) Thoroughly commenting the typical method of slices from their satisfid equilibrium conditions, calculational parameter and their convergence, the thesis sortes the methods into four kinds. The first satisfies all kinds of equilibrium conditions, can obtain interslice force and the factor of safety.

2从满足的平衡条件、求解的参数及其解收敛性等，分析了各种常用极限平衡条分法，将其分为四类，第一类方法既满足力的平衡，也满足力矩平衡，能获得条间力和稳定系数的收敛解；第二类方法只满足一个方向力的平衡和力矩平衡，只能求得稳定系数；第三类方法既满足力的平衡，也满足力矩平衡，但不是严格的静定问题，解的收敛性差；第四类方法满足两个方向力的平衡，不满足力矩平衡，可求得稳定系数和条间力的大小，不能求得条间力方向。

The abstract result contains several concrete results in the literature and can also be used to deal with some new cases for resonant differential equations.In the introduction, we briefly introduce the development process of the variational methods. In Chapter 2, we list some basic knowledges refering to the variational methods, including the Sobobev space,—△ operator, the weak solution and the minimizing sequence methods and some minimax theorems. In Chapter 3, we introduce the research process of Hamiltonian system of second order and the semilinear elliptic problems, using the methods introduced previously. In Chapter 4, we prove the main theorem of the thesis, and apply it to the problems in the previous Chapter, and can also be applied to some new resonant cases.

在前言中，简要介绍了变分法的产生、发展过程，在第二章中我们介绍了有关变分法的一些基本知识，包括Sobolev空间，—△算子，弱解，极小化序列方法和一些极小极大定理，在第三章中我们介绍了非线性项有界或满足次线性条件，以及它满足推广的Ahmad-Lazer-Paul条件时，二阶Hamiltonian系统和半线性椭圆问题的研究历程，最后在第四章中我们证明了本论文的主要定理，并把它应用到第三章的问题中，使得前面的几种共振的情形都可以统一到这个抽象的结果中。

For solving the boundary case of 〓 interpolation subdivision given in forth chapter, we give convergence and smoothing conditions and a C〓 continuous four point interpolation scheme using the curve triple subdivision methods from chapter three.

另外本文在第三章给出了曲线三分法细分算法的收敛和光滑条件，并给出了C〓连续的三分法四点插值算法，它解决了我们第四章给出的〓插值算法在边界上会遇到的问题。

10"Bec a use, though this wheel h a s tr a velled five le a gues, it cert a inly will not tr a vel a nother quarter of a le a gue."

&就是因为这轮子刚才走了五法里路，也许没有错，但是现在它决走不了一法里的四分之一了。&

The first step is to eliminate all kinds of noises generated in the process of collecting traffic video by means of median filter; Then we finish image sharpening with Laplace operator to clarify edges of the video images; finally, image contrast is enhanced with the help of the second-developing packet SDK-2000, which is provided by our video-collecting card. This way, much more satisfactory images are obtained, and preparation is already made for the following work, thats image analyse.Thirdly, according to the characteristics of our system, mobile objects are distinguished by means of image difference. Then some features such as regional area, length and width of traffic objects are selected and extracted. After processing of scale filter, we successfully recognize those moving vehicles appearing in the monitoring regions.Fourthly, some corresponding algorithms are brought forward to automatically identify those familiar traffic peccancies of many sorts, such as red light violation, yellow-line covering, parking in prohibited spots, over-speed running and converse running. Then we find means to snap pictures and to intercept videos of the spot, and collect a lot of relevant information such as the time, the block, the running direction and the weather conditions and so on. According to this information, our traffic management departments could make correct decisions on punishing those drivers who have broken the traffic rules.Considering the complexity of traffic environments on particular blocks, in order to monitor other traffic peccancies effectively, we also have designed the scheme to carry out traffic monitoring by manual.

首先运用中值滤波法对视频图像进行去噪处理，然后采用二阶差分法进行图像锐化，再通过视频捕获卡携带的二次软件开发包SDK-2000进行对比度增强，从而得到比较理想的图像，为后续的图像分析工作做准备；第三，根据系统特点，通过背景图像差分法，分割出监测区中的运动目标，然后对交通目标的区域面积、长度和宽度等进行特征提取，再经过尺度滤波处理，从而自动识别出机动车辆目标：第四，分别设计相应的算法，实现对闯红灯、压黄线、违章停车、违章超速及违章逆行等常见的交通车辆违章行为的自动识别，并自动抓拍违章现场，截取违章视频，采集其它相关违章信息，为交通执法部门进行交通违章处罚提供有力依据：考虑到特殊路段特殊环境下的交通复杂性，为了有效监控其它类型的交通违章行为，本文还设计并实现了对交通违章的手动监控模式。

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