伪二元的

This dissertation investigates the construction of pseudo-random sequences (pseudo-random numbers) from elliptic curves and mainly analyzes their cryptographic properties by using exponential sums over rational points along elliptic curves. The main results are as follows:(1) The uniform distribution of the elliptic curve linear congruential generator is discussed and the lower bound of its nonlinear complexity is given.(2) Two large families of binary sequences are constructed from elliptic curves. The well distribution measure and the correlation measure of order k of the resulting sequences are studied. The results indicate that they are "good" binary sequences which give a positive answer to a conjecture proposed by Goubin et al.(3) A kind of binary sequences from an elliptic curve and its twisted curves over a prime field F_p. The length of the sequences is 4p. The "1" and "0" occur almost the same times. The linear complexity is at least one-fourth the period.(4) The exponential sums over rational points along elliptic curves over ring Z_ are estimated and are used to estimate the well distribution measure and the correlation measure of order k of a family of binary sequences from elliptic curves over ring Z_.(5) The correlation of the elliptic curve power number generator is given. It is proved that the sequences produced by the elliptic curve quadratic generator are asymptotically uniformly distributed.(6) The uniform distribution of the elliptic curve subset sum generator is considered.(7) We apply the linear feedback shift register over elliptic curves to produce sequences with long periods. The distribution and the linear complexity of the resulting sequences are also considered.

本文研究利用椭圆曲线构造的伪随机序列，主要利用有限域上椭圆曲线有理点群的指数和估计讨论椭圆曲线序列的密码性质——分布、相关性、线性复杂度等，得到如下主要结果：(1)系统讨论椭圆曲线-线性同余序列的一致分布性质，即该类序列是渐近一致分布的，并给出了它的非线性复杂度下界；(2)讨论两类由椭圆曲线构造的二元序列的"良性"分布与高阶相关性(correlation of order κ)，这两类序列具有"优"的密码性质，也正面回答了Goubin等提出的公开问题；(3)利用椭圆曲线及其挠曲线构造一类二元序列，其周期为4p(其中椭圆曲线定义在有限域F_p上)，0-1分布基本平衡，线性复杂度至少为周期的四分之一；(4)讨论了剩余类环Z_上的椭圆曲线的有理点的分布估计，并用于分析一类由剩余类环Z_上椭圆曲线构造的二元序列的伪随机性；(5)讨论椭圆曲线-幂生成器序列的相关性及椭圆曲线-二次生成器序列的一致分布；(6)讨论椭圆曲线-子集和序列的一致分布；(7)讨论椭圆曲线上的线性反馈移位寄存器序列的分布，线性复杂度等性质。

The results indicated that there were two-phase and three-phase regions only,was not any trinal intermediate phase in the investigated Si content range.Two binary pseudo-alloys took place solid-phase changes at 556℃ and 471℃ respectively.

结果表明：在研究的Si含量范围内，相组成较复杂，但仅有二相区和三相区，未发现三元中间相。2个伪二元合金系在556℃和471℃存在固相转变，且Cu3Si相的η、η′和η"相同属正交晶系，其相变属于"位移型相变，空间群有待进一步研究。

This dissertation investigates the construction of pseudo-random sequences (pseudo-random numbers) from elliptic curves and mainly analyzes their cryptographic properties by using exponential sums over rational points along elliptic curves. The main results are as follows:(1) The uniform distribution of the elliptic curve linear congruential generator is discussed and the lower bound of its nonlinear complexity is given.(2) Two large families of binary sequences are constructed from elliptic curves. The well distribution measure and the correlation measure of order k of the resulting sequences are studied. The results indicate that they are "good" binary sequences which give a positive answer to a conjecture proposed by Goubin et al.(3) A kind of binary sequences from an elliptic curve and its twisted curves over a prime field F_p. The length of the sequences is 4p. The "1" and "0" occur almost the same times. The linear complexity is at least one-fourth the period.(4) The exponential sums over rational points along elliptic curves over ring Z_ are estimated and are used to estimate the well distribution measure and the correlation measure of order k of a family of binary sequences from elliptic curves over ring Z_.(5) The correlation of the elliptic curve power number generator is given. It is proved that the sequences produced by the elliptic curve quadratic generator are asymptotically uniformly distributed.(6) The uniform distribution of the elliptic curve subset sum generator is considered.(7) We apply the linear feedback shift register over elliptic curves to produce sequences with long periods. The distribution and the linear complexity of the resulting sequences are also considered.

本文研究利用椭圆曲线构造的伪随机序列，主要利用有限域上椭圆曲线有理点群的指数和估计讨论椭圆曲线序列的密码性质——分布、相关性、线性复杂度等，得到如下主要结果：(1)系统讨论椭圆曲线-线性同余序列的一致分布性质，即该类序列是渐近一致分布的，并给出了它的非线性复杂度下界；(2)讨论两类由椭圆曲线构造的二元序列的&良性&分布与高阶相关性(correlation of order κ)，这两类序列具有&优&的密码性质，也正面回答了Goubin等提出的公开问题；(3)利用椭圆曲线及其挠曲线构造一类二元序列，其周期为4p(其中椭圆曲线定义在有限域F_p上)，0-1分布基本平衡，线性复杂度至少为周期的四分之一；(4)讨论了剩余类环Z_上的椭圆曲线的有理点的分布估计，并用于分析一类由剩余类环Z_上椭圆曲线构造的二元序列的伪随机性；(5)讨论椭圆曲线-幂生成器序列的相关性及椭圆曲线-二次生成器序列的一致分布；(6)讨论椭圆曲线-子集和序列的一致分布；(7)讨论椭圆曲线上的线性反馈移位寄存器序列的分布，线性复杂度等性质。

However, this kind of deviation does not exist for the position of the pseudobinary eutectic reaction point in Ge-Al-Sb system.

而Ge-Al-Sb系中伪二元共晶反应点的位置不存在这种方式的偏离。

In the study on the liquid structure of Ge-AlSb alloys, it was found that two types of clusters of compositions Ge and AlSb exist in the melt. Based on this result, a growth model of cluster elementary process for A-BC〓 type pseudobinary eutectic was presented.

在对Ge-AlSb系合金液态结构的研究中发现其熔体中存在组分为Ge和AlSb的两种原子集团，提出了A-BC〓型伪二元共晶生长的原子团基元过程模型。

Impact of composition upon the cold flow properties for biodiesel was investigated with gas chromatography-mass and cold filter plugging point tester based on the theories of molecular structure and crystal growth. Biodiesel may be considered a pseudobinary mixture consisting of components, with high-melting-point saturated fatty acid methyl esters and with low-melting-point unsaturated ones.

从分子结构出发，根据结晶理论，应用气质联用仪和低温性能测试仪研究生物柴油的组成对低温流动性的影响，为改善生物柴油的低温流动性提供理论指导，并提出生物柴油是伪二元混合物（高熔点的饱和脂肪酸甲酯和低熔点的不饱和脂肪酸甲酯）的观点。

Selecting three typical pseudobinary eutectic systems, Al-Mg〓Si, Al-Mg〓Ge and Ge-AlSb, as the basic modelling system, this paper studied the regularity of composition selection and growth ect.

本文以恒温度梯度热分析、金相分析、定向凝固及熔体X射线衍射分析为主要手段，以Al-Mg〓Si、Al-Mg〓Ge和Ge-AlSb三个伪二元共晶体系作为基本的模拟系，对A-BC〓型伪二元定向共晶复合体的成分选择与生长等规律作了较为系统的研究。

Al /AlLi-Mg〓Si and α/TiAl〓-Mg〓Si pseudobinary directional eutectic composites with fine structural integrity were achieved by investigating the influence of various amounts of alloying Li and Ti on the eutectic line, the preferred eutectic reaction point and the range in which eutectic structure appears in Al-Mg-Si system, through which the modification on the matrix and strengthening phase in this system was realised.

通过考察不同含量Li和Ti合金化对Al-Mg-Si系中共晶线、最佳共晶成分点及产生共晶组织的范围的影响，制备了组织完整性良好的α/AlLi-Mg〓Si和α/TiAl〓-Mg〓Si伪二元定向共晶复合体，从而实现了对其基体和强化相的调整。

The results show that ordered phases precipitated and formed a pseudobinary system; precipitated earlier than g phase by a congruent ordering + spinodal decomposition mechanism and thus produced a nonstoicheometric ordered phase, then the nonstoicheometric g phase precipitated by a non--classical nucleation and growth mechanism at the boundaries of phases, meanwhile, both of them transformed to stoicheometric ordered phases.

研究发现该合金沉淀过程中，析出D022结构的(Ni3V)相和L12结构的Ni3Al相，二者构成伪二元系；相先于相析出，相的沉淀机制为等成分有序化+失稳分解，相在相的相界处非经典形核，二者均先形成非化学计量比有序相，之后向化学计量比有序相转变；随Al浓度增加，相析出变慢，所占比例减少，而相反之，析出越来越早且所占比例增加。

The dynamic adsorption of Congo red and Cu(superscript 2+) still follow the second-order kinetics.

二元体系中，壳聚糖对Cu(上标 2+)表现出更高的亲和力和选择性，且二者的吸附动力学仍符合伪2级动力学模型。

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