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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。

Compared with the double bond of cyclopentene ring, the double bond of the norbornene ring has much more lower activation energy in the hydrogenation and the main intermediate product is 14,15-DHTCPD.

非晶态合金催化剂晶化过程的原位分析结果表明，在热处理温度低于150°C条件下其结构基本保持稳定，而高于450°C条件下热处理后晶化度大于90%，600°C以上热处理后完全晶化。

The double bond in norbornene ring of TCPD was easily saturated at a low temperature, and an intermediate 12,13-dihydrotricyclopentadiene (12,13-DHTCPD) was formed. Higher temperature and hydrogen pressure were required for the saturation of remaining double bond in cyclopentene ring to generate a completely hydrogenated compound tetrahydrotricyclopentadiene.That is to say, the reaction occurred via the TCPD→12,13-DHTCPD→THTCPD route.

采用气质联用、红外光谱和核磁共振对加氢产物进行表征，发现在加氢反应中TCPD的降冰片烯双键首先被饱和，生成中间产物12，13-二氢三环戊二烯(12，13-DHTCPD)，残留的环戊烯双键需要在更高的温度和氢压下反应生成四氢三环戊二烯，即反应按照TCPD→12，13-DHTCPD→THTCPD的途径进行。

The bacterial, mammalian and plant cytochrome P450s involved in metabolism of herbicides are reviewed in this paper. The action modes of cytochrome P450s on herbicides including dealkylation, ring-methyl hydroxylation and aromatic ring hydroxylation etc are summarized.

本文综述了代谢除草剂的细菌、哺乳动物和植物细胞色素P450酶系，概述了细胞色素P450酶系参与除草剂代谢的作用方式：脱烷基化作用、环甲基化羟基化作用和芳环的羟基化作用等。

Good correlations were obtained between aromatic ring destruction and trichloroacetic acid , but dichloroacetic acid production were related to not only activated aromatic ring but also nitrogenous type structures such amino acid type structure.

从腐殖质的结构特性与卤乙酸的相关性分析，得出三氯乙酸的形成主要与腐殖质的芳香环的断裂有关。DCAA的形成则与腐殖质上芳香环和含氮官能团的多少有关。

The maximum field on the right of ring junction decreases with the increase of ring spacing and lateral diffusible depth.

在场限环结构中，当主结和环结在表面处的最大电场强度均等于临界电场强度时，击穿电压达到最大值，此时所对应的环间距为最佳环间距。

The more the number of hydroxyl substitution in phenyl ring, the better the ability of scavenging DPPH free radical. That is, trihydroxy is better than dihydroxy, and dihydroxy is better than monohydroxy. Moreover, when the polyhydroxy exists in phenyl ring and it is ortho-position or para-position, the ability of scavenging DPPH free radical is better too.

当苯甲醯基的苯环上羟基取代数量越多，其清除DPPH自由基的能力越好，三羟基效果优於双羟基、单羟基，双羟基效果优於单羟基；而苯甲醯基苯环上若为多羟基且羟基的位置为邻位或对位的关系时，其在清除DPPH自由基的能力较佳。

Chapter 1: The reactions of methylenecyclopropanes with phenylsulfenyl chloride or phenylselenyl chloride give cyclobutene derivatives along with ring-opened products in good total yields at 0 °C in various solvents. The reactions of methylenecyclopropanes with diphenyl diselenide give the di-phenylselenyl substituted ring-opening products which can be transformed to 2,5-dihydrofuran derivatives under the oxidation with hydrogen peroxide at room temperature.

在第一章中，我们发现亚甲基环丙烷类化合物在0℃时即可很快与苯硫氯或苯硒氯发生反应生成取代环丁烯类化合物和正常的开环产物；而与二苯基二硒的反应则需加热到150℃以上才能进行反应，生成的二苯硒基开环产物在双氧水氧化下可以转化为取代二氢呋喃类化合物。

The molecule of taxol is an extremely complex diterpene with a taxane ring structure fused with a four-membered oxetane ring, an ester side-chain at position C-13 and a benzoyl side-chain at the C-2 position Fig.

紫杉醇分子是一个极其复杂的四环二萜类化合物：一个紫杉烷环加一个四个元素组成的氧烷环，在C-2和C-13上还分别有一个苯氧基和酯基侧链。

In this case, the patient has had a ring placed in the mitral valve to repair it; the sutures appear as spots dotting the ring.

在这张图片中，病人的二尖瓣里面已经有了一个用于修复的环，环上的点就是缝合线的痕迹。

As of Tuesday, Google's results were still censored in China.

截至周二，谷歌的搜索结果仍受中国审查。

In order to make the positive action increase and negative one decrease, the sub-forces of the social factors must be adjusted to form a centripetal force.

在这一过程中，人的主体性发挥是社会有机体健康发展的灵魂。