直接分解

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。

Firstly, this paper investigated roundly the basic theory of the ambient vibration method, analyzed systematically the main methods of ambient vibration identification, and discussed their advantages and disadvantages. Then we established the finite element model of structural dynamics and test model and analyzed their mutual relation, improved MUSIC method and correlation function method in the harmonic identification, and gave the subspace method and correlation function method based on continuous model, which is multi-harmonic retrieve technique. And then, this paper also puts forward least-squares method to estimate directly structural physical and modal parameters; this approach replaced the derivative operator in the continuous time model with an equivalent approximation, and estimated the physical parameters of structures by the least-squares method. And then, we discussed the approximation methods of derivative and their convergence. Finally, this paper researched the modal parameters of a frame structure by the simulation and test. The results demonstrated that subspace method, correlation function method and the least-squares method are effective and stable respectively.

全面地研究环境振动识别方法的基本理论，系统地分析环境振动识别方法的主要方法，讨论它们的优点和不足；建立结(来源：6666AB44C论文网www.abclunwen.com)构动力学的有限元模型和试验模型，分析有限元模型与试验模型之间的相互关系；改进谐波识别中的MUSIC识别方法和相关函数识别方法，给出大型结构模态识别的连续型的子空间分解识别方法和相关函数识别方法，这个方法是多元谐波识别方法；提出直接识别结构的物理参数和模态参数的最小二乘方法，这个方法利用导数的近似值代替导数值，并运用最小二乘方法识别结构的物理参数，讨论导数近似值的选择方法，分析算法的收敛性；通过仿真计算和模型实验，研究高层框架结构的模态参数识别，验证子空间分解识别方法、相关函数识别方法和最小二乘识别方法的有效性，算法的稳定性；从理论和试验两个方面分析和研究噪声对识别精度的影响，影响识别精度的因素，以及部分模态成分的模态参数不能够被识别的原因。

Finally,the two-step MP algorithm was applied to spectral decomposition of field data,meanwhile,based on the slices of different frequency,the gas shadow phenomenon below gas-bearing reservoir was analyzed,the results show that shadow phenomenon can directly indicate the existence of hydrocarbon.

在某地区，利用两步法MP快速算法对实际地震记录进行了谱分解，并基于由谱分解得到的不同频率的切片，分析了含气储层下方的影子效应，结果表明影子效应直接指示了烃类的存在。

We think that the bloodcompatibility is determined by surface energy and work function of the film.

凝血过程的激活与蛋白质，特别是纤维蛋白原的吸附和分解直接相关，而吸附和分解与材料的表面能和电学性能相关。

This paper proposes s new method to construct wavelets decomposing and reconstructing matrices of wavelet coefficients without iterative calculation in symmetrical extension for finite length signal ,and correspondingly gives the base vectors and basis images of 9/7 wavelet. The matrices can be used for image-partition processing based on wavelet method.

给出了对称延拓方式下有限长信号不需逐级计算而直接得到小波系数的分解矩阵和由这些小波系数重构原信号的重构矩阵的构造方法，并给出了常用的相应于9/7小波的分解矩阵和重构矩阵及其基向量，它们可广泛用于基于小波的图像分块处理中。

First, UWPBL model(The University of Washington Planetary Boundary Layer Model) is used to retrieve typhoon's sea level pressure from sea surface winds data of SeaWinds which aboard on QuikSCAT and these strength results are analyzed. Then the variational method is applied to decompose the sea surface winds field into two parts: the vortex and irrotational environmental flow field, the UWPBL model is used again to retrieve ShanShan and YaGi typhoons' sea level pressure from the vortex flow field, the results of typhoon's central positions are analyzed by comparing the results with the results of direct retrieving, NCEP's data and typhoon annual reports. It turns out that the accuracy of the typhoon's sea level pressure central position has been obviously improved, This method offers a new idea for the study of typhoon from microwave scatterometer data.

本文首先利用QuikSCAT散射计获取的海面风场资料，利用华盛顿大学行星边界层模式对台风海平面气压场进行反演，并对其强度进行了分析；然后对获取的海面风场，采用变分方法对风场进行分解，分解出无旋和有旋风场，对分解出的有旋风场，再利用UWPBL模式对珊珊和魔羯台风的海平面气压场进行了反演，对所得结果与通常直接反演、NCEP海平面气压场及台风报文资料进行一一对比，结果表明：新的反演定位的方法对台风海平面气压场中心气压的定位精度有了大幅度的提高，此种定位的方法为散射计资料在台风中的实际应用开辟了一条新的思路。

It only takes quadratic bit complexity for the cryptosystem to perform an encryption/decryption operation.(6) A public-key cryptosystem is proposed by using a special combinatorial problem defined over the matrix ring. The security of the scheme is related to but not directly dependent upon the integer factorization problem.

6使用矩阵环上的一个特殊的组合问题构造了一个公钥加密算法，其安全性与整数分解问题有关，但并不直接依赖于整数分解问题，而是依赖于一类特殊的矩阵组合问题。

In the first sphere it is an implicitly universal, self-identical spiritual being; in the second it is explicitly for itself and has become inwardly divided against itself, sacrificing and abandoning itself; in the third, which as self-consciousness is Subject, it possesses directly in its own self the force of Fire.

同样，内在的本质，或者说，具有自我意识的现实中的简单精神，作为一个统一的世界，也分解为象自然所分解的那样一些普遍的、但具有精神的元素或质体：其中第一种是自在普遍的、自身等同的精神本质；第二种是自为存在着的、已变得自身不等同了的、正在自我牺牲和自我献身的本质；第三种，作为自我意识，是一种本身直接具有火的力量的主体。

It was found that the tetrahedrally coordinated Ti in the titanosilicate molecular sieve was the main reason to arise H2O2 decomposition as well as the effect of acid centers of the catalyst.

结果表明，分子筛骨架Ti和其拥有的酸性位是造成H2O2在分子筛上分解的主要原因，非骨架Ti对H2O2分解的影响弱于骨架Ti.H2O2的无效分解直接影响反应物的转化效率。

The closed-cell aluminum foam was fabricated by direct foaming in melt. Through sampling aluminum foam in different stages the cross-section of them were observed and analyzed. It was explained how TiH_2 was decomposed after entered into the melt, how initial bubbles were formed and what was the state that generated bubbles and undecomposed TiH_2 lay in.

以熔体直接发泡法制备闭孔泡沫铝材实验为基础，通过获得不同实验阶段的泡沫铝样品，以及对实验样品切面或断面进行观察和分析，描述了在熔体发泡法制造泡沫铝过程中TiH2加入熔体后的分解过程，原始气泡的形成方式以及产生的气泡和未分解TiH2的存在状态；解释了气泡进一步长大的原因和未分解的TiH2如何释放气体；表述了气泡的合并和无泡层的形成。

He and Nina moved to California and lived at 2005 Ivar Street, Apt.

他和Nina搬到加州，并在2005年伊瓦尔街，公寓生活。

Droperidol （ potently inhibits transfected HERGchannels and this is the probable mechanism for QT prolongation.

氟哌利多有效地抑制了转染的 HERG 钾通道，可能是 QT 间期延长的机制。