在讨论中

On the whole, we do as follows: Firstly, we list some conceptions and lemmas for later use. Secondly, we inducted the absolute value norm in the two-dimensional vector interspace, and also proved the two-dimensional vector interspace is a Banach Interspace. Thirdly, we define two-dimensional vector-valued functions on a interval by the definition of -fine partitions in part 1. Then, some sufficient and necessary conditions of integrabel are given, and discuss the property of the integral on two-dimensional vector-valued functions.

主要包括以下内容：在第一部分，我们介绍了本文所用到的几个基本概念和引理；第二部分，我们在二维向量空间中引入了绝对值范数，并且证明了二维向量空间是一个Banach空间；在第三部分中，通过第一部分关于-精细分划的定义，我们给出了在某区间上二维向量值函数积分的定义以及可积的充分必要条件，并讨论了二维向量值函数积分的一些性质。

Equidistance point and difference theory in theory of function approximation are studied. Meanwhile, the relation among difference, difference quotient and derivate is revealed. By drawing Lagrange's and Cauchy's theorem of mean on difference and Taylor's formula into difference function, four theorems, such as Lagrange's theorem of mean on difference, are concluded in simple way. On the basis of these conclusions, the asymptotic property of middle point is studied, a series of new conclusions are drawn and the discussions on the asymptotic property of middle point in differential mid-value are summarized.

对函数逼近论中等距节点和差分理论进行了研究，揭示了差分、差商与导数之间的联系；将Lagrange中值定理、Cauchy中值定理、Taylor公式引入到差分函数中，简明地推导出Lagrange差分中值定理等4个定理，并在此基础上对"中间点"的渐近性进行了研究，得出了一系列"中间点"的渐近性的结果，概括了有关文献对微分中值公式的"中间点"的渐近性的讨论；给出的引理改进了函数逼近论的证明方法，精简了函数逼近论中的一些内容。

This article deals with the calculating rules, several handling situations of quotient and remainder in "Binary fixed point mending code division by one figure" based on the teaching material THE THEORY OF COMPUTER COMPOSITION .

针对《计算机组成原理》教材中关于"二进制定点补码一位除法"中的运算规则、商及余数的几种情况，进行了深入、详实的研究与讨论，补充了教材中的缺憾，论证了计算机在除法操作中的基本原理。

Based on the research results of Chaos theory, in this dissertation, it has made detailed analysis of the chaotic signal generator. Firstly, the characteristic and various detection methods of chaotic signal are recommended. Secondly, with the aid of software, such as MATLAB, PSPICE, EWB, etc, discussion of the process of generating chaotic signal proceeds. Through simulation, the output result of several kinds of chaotic circuit are analyzed and compared. Thirdly, aiming at Chuas chaotic circuit, through debugging, the impacts by components and parts in the circuit, such as operation amplifier, capacity, inductor, etc, has been further investigated. And then provides a new scheme to implement Lorenz chaotic system, the circuit design and analysis are presented in detail and it can be realized by the hardware of programmable arrays FPGA, the experimental results indicate that this scheme has the advantages of easy operation, flexible design and high efficiency. An application example in secure communications is also provided. Finally, through picking up the characteristic parameter-Lyapunov exponent of the Chaos we can analyze the performance of different chaotic signal generators.

本文在混沌理论研究成果的基础上，对混沌信号的产生做了详细的分析，涵盖以下内容：首先介绍了混沌的定义，混沌信号的基本特性和各种判别方法，特别是对简单的一维Logistic映射的硬件实现问题做了初步探索；其次对混沌信号的产生方法进行讨论，借助于MATLAB、PSPICE、EWB等仿真软件，对几种混沌电路输出的混沌信号进行了分析比较，并在此基础上针对典型三阶连续自治系统Chua's电路作进一步实验研究，通过混沌电路调试，深入研究电路中各元器件，特别是运算放大器、电容、电感等对混沌信号时域以及频谱的影响；再次研究连续混沌系统的数字化硬件产生，设计了Lorenz混沌电路在现场可编程门阵列FPGA上实现的新方案，在保密通信中的应用实验结果表明该方案具有操作简单、设计灵活、效率高等优点；最后针对不同混沌系统，采取不同算法，提取混沌特性参数Lyapunov指数，进而对不同的混沌信号发生器的性能进行了分析。

In this paper, we introduce the algorithm of Schoof-Elkies-Atkin to compute the order of elliptic curves over finite fields. We give out a fast algorithm to compute the division polynomial f〓 and a primitive point of order 2〓. This paper also gives an improved algorithm in computing elliptic curve scalar multiplication. Using the method of complex multiplication, we find good elliptic curves for use in cryptosystems, and implemented ElGamal public-key scheme based on elliptic curves. As a co-product, we also realized the algorithm to determine primes using Goldwasser-Kilian's theorem. Lastly, the elliptic curve method of integer factorization is discussed. By making some improvement and through properly selected parameters, we successfully factored an integer of 55 digits, which is the product of two 28-digit primes.

本文介绍了计算有限域上椭圆曲线群的阶的Schoof-Elkies-Atkin算法，在具体处理算法过程中，我们给出了计算除多项式f〓的快速算法和寻找2〓阶本原点的快速算法；标量乘法是有关椭圆曲线算法中的最基本运算，本文对[Koe96]中的椭圆曲线标量乘法作了改进，提高了其运算速度；椭圆曲线的参数的选择直接影向到椭圆曲线密码体的安全性，文中利用复乘方法构造了具有良好密码特性的椭圆曲线，并实现了椭圆曲线上ElGamal公钥体制；文中还给出了利用Goldwasser-Kilian定理和椭圆曲线的复乘方法进行素数的确定判别算法；最后讨论了利用椭圆曲线分解整数的方法并进行了某些改进，在PC机上分解了两个28位素数之积的55位整数。

There are a lot of analysis models,index and data involved in management accounting,which is used by people without deliberations,and considered as absolute correctness However,management accounting has not been developed so consummately In fact,there still remain many questions deserving further study and discussion For example,some methods are not actual,while some don't take cost into consideration at all More attention should be paid, and more efforts are needed to make management accounting mor...

管理会计学科知识中涉及到大量的分析模型和数据指标，在现实生活中往往被人们不加推敲地生搬硬套，视其为当然的权威、绝对地正确，使管理会计的学习应用趋于教条化。而实际上，管理会计还是一门发展并不十分成熟的学科，其中存在许多值得我们进一步研究和论证的问题。例如，有些方法已明显与现实脱节，有些方法还停留在以静止的观点看问题，有的不考虑管理会计这一信息系统中数据信息的取得成本，有的分析模型一味追求精确复杂反而失去了实际应用价值，有的分析方法干脆就不具备多少严谨性和可信性。本文针对以上问题进行了讨论，旨在抛砖引玉，使管理会计这一学科更加健全和完善。

First, according to a phase matching condition of electromagnetic wave on the stationary boundary surface, we find the refelection and transimission angles in the front system with a static ionization front. Then using the transformations of wave vector and frequency we get the corresponding angles in the laboratory system in which the ionization front is moving at relativistic speed.

首先在波面参考系中根据电磁波在固定边界上的相位匹配条件，确定电磁波在静止电离波面上的反射角和透射角，并利用波矢和频率的相对论变换，导出了在实验室参考系中相应的反射角和透射角的表达式，最后对所得的结果作了进一步的讨论。

In this dissertation,a new mechanism of stochastic resonance in the excitablesystem is presented,and the relationship between the stochastic resonance inexcitable neurons and the dynamic bistability is reported for the first time.Thepresent study deals with the extension of the concept of stochastic resonance,which has been thoroughly examined in bistable and simple excitable system,to amore complex system.It may even open the door to a better understanding ofstochastic resonance in neural system since experimental evidence supports theextension of such bistability in vitro preparations.

本文提出了可兴奋性系统中一种新的随机共振机制，首次报道了可兴奋性神经元中随机共振和动态双稳态的关系，将以前的单纯讨论双稳系统或可兴奋系统中的随机共振推广到了可兴奋系统中有动态双稳态更复杂的情形，由于在神经元的实验中已有关于动态双稳态的报道，本文所提出的随机共振为理解神经元中随机共振的编码机制开启了新的途径。

Equidistance point and difference theory in theory of function approximation are studied. Meanwhile, the relation among difference, difference quotient and derivate is revealed. By drawing Lagrange's and Cauchy's theorem of mean on difference and Taylor's formula into difference function, four theorems, such as Lagrange's theorem of mean on difference, are concluded in simple way. On the basis of these conclusions, the asymptotic property of middle point is studied, a series of new conclusions are drawn and the discussions on the asymptotic property of middle point in differential mid-value are summarized.

对函数逼近论中等距节点和差分理论进行了研究，揭示了差分、差商与导数之间的联系；将Lagrange中值定理、Cauchy中值定理、Taylor公式引入到差分函数中，简明地推导出Lagrange差分中值定理等4个定理，并在此基础上对&中间点&的渐近性进行了研究，得出了一系列&中间点&的渐近性的结果，概括了有关文献对微分中值公式的&中间点&的渐近性的讨论；给出的引理改进了函数逼近论的证明方法，精简了函数逼近论中的一些内容。

As same as the above-mentioned reason, because theconditions at the inside straight boundary of the binarycomposite material can not be easily satisfied, here, anelastic circular inclusion with large radius is used to replacethe upper half space of the binary composite material, so the〓mary binary composite mater ial problem can be changed〓the scattering problem of a circular elastic inclusion andto the scattering problem of a circular eastic inclusion and〓circular cavity in an infinite space to the steady incident〓wave.

与前面两个问题的理由一样，同样，由于问题中双质复合材料的内部直边界上的边界条件不易解析满足，为此，本文采用了一个半径很大的弹性实夹杂来代替问题中双质复合材料的上半空间部分，而将原来的双质复合材料问题转化成了无限大空间中一圆形弹性夹杂和一圆孔对稳态P波的共同散射问题，根据该问题的特点写出了弹性夹杂内外波场中波函数的一般形式解，利用该问题中夹杂和圆孔处的位移和应力的连续条件，并采用复数傅立叶级数展开技术将其化为一个仅包含问题波函数中未知系数的无穷线性代数方程组，在满足一定计算精度的前提下，通过有限项截断进行近似求解，进而讨论了双质复合材料中圆孔边界处的动应力集中系数随不同入射角、圆孔的不同位置、以及入射波的不同无量纲波数的变化和分布情况。

I didn't watch TV last night, because it .

昨晚我没有看电视，因为电视机坏了。

Since this year, in a lot of villages of Beijing, TV of elevator liquid crystal was removed.

今年以来，在北京的很多小区里，电梯液晶电视被撤了下来。