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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。

Through the principal components analysis of 27softwoods,we found that the directionality of cell arrangements was accordant with theevolution order of Ginkgoaceae,Pinaceae,Taxodiaceae,Cupressaceae,the more evolutivewood species,the stronger directionality of cell arrangements along radial,but thedirectionality of cell arrangement along the radial of Larix spp.which was abrupt changedspecies was comparatively weak.

通过对27种针叶材的主成分分析,发现木材细胞排列方向性强弱基本符合银杏、松科、杉科、柏科的进化顺序,越是进化的树种木材径向排列的方向性就越强。另外,落叶松属等早晚材急变的木材径向排列比较弱。

Inflorescence terminal, composed of several to many racemes inserted digitately or along a short axis; racemes elongate with many spikelet pairs, hairy, fragile, sessile and pedicelled spikelets of a pair similar, pedicelled often slightly narrower, both fertile; rachis internodes linear, ciliate along angles; pedicels resembling internodes, usually slightly shorter and more slender.

花序顶生,由数枚到多数总状花序组成着生或沿着短轴;总状花序拉长具很多小穗对,有毛,脆,无梗和pedicelled相似的对,pedicelled通常稍狭窄,都能育;轴节间的线,纤毛的沿着棱;花梗象节间,通常有点更短和更纤巧。

The results show that,(1) the ion acceleration and energization mainly occur in the middle of dipolarization at distance of -12 R to -8 R,(2) the ion acceleration and energization along the direction perpendicular to magnetic field are faster than along parallel direction,(3) variations of speed and energy for lighter ion are faster than that of heavier ion,(4) the higher the initial energyis, the faster the ion acceleration is, and the more energy is obtained by the ions.

主要结果为:(1)离子的加速及能量变化主要发生在磁场偶极化过程的中期,对应的地心距离位於-12R到-8R之间;(2)垂直於磁场方向上离子加速及能量变化较快,平行方向上较慢;(3)轻离子较重离子加速及能量变化快,磁场偶极化终结,3种离子的能量均可增加200倍左右;(4)初始能量较高时,离子加速及能量变化较快,离子最终获得的能量较大。

The results show that,(1) the ion acceleration and energization mainly occur in the middle of dipolarization at distance of -12 RE to -8 RE,(2) the ion acceleration and energization along the direction perpendicular to magnetic field are faster than along parallel directi on,(3) variations of speed and energy for lighter ion are faster than that o f heavier ion,(4) the higher the initial energyis,the faster the ion accelerati on is, and the more energy is obtained by the ions.

主要结果为:(1)离子的加速及能量变化主要发生在磁场偶极化过程的中期,对应的地心距离位于-12RE到-8RE之间;(2)垂直于磁场方向上离子加速及能量变化较快,平行方向上较慢;(3)轻离子较重离子加速及能量变化快,磁场偶极化终结,3种离子的能量均可增加200倍左右;(4)初始能量较高时,离子加速及能量变化较快,离子最终获得的能量较大。

Glands disciform or depressed at apex of teeth along bract margins and sometimes along leaf blade margins.

沿着苞片边缘和有时沿着叶片边缘的腺体齿的盘状的或下凹在先端。

Further CT images of the abdomen and pelvis revealed marked diverticular disease affecting the distal colon and widespread gas in the retroperitoneal tissues, spreading along the left renal fascia Figure 1 and along the left psoas muscle down the left paracolic gutter, extending to the anterior abdominal wall and into the left hemiscrotum.

其他腹部和盆腔CT显示患者存在累及远端结肠的明显憩室病,腹膜后组织中有广泛分布的气体,沿左肾筋膜扩散(图1B),并沿左侧腰肌下行至左侧结肠旁沟,蔓延到前腹壁进入左侧阴囊。

Co-earthquake displacement field shows that the earthquake may be caused by thrust of Bayan Har block along direction of SE and the downthrust of Sichuan Basin along the direction at NW occurred simultaneously.

同震位移场显示,这次地震可能是巴颜喀拉块体SE向逆冲与四川盆地NW向俯冲同时发生的。

The epineurial vessels run along the nerves length and gave off branches, distributing along nerve bundle, to enter into endoneurium. The endoneurium contained only capillaries. Arteriolovenular anastomoses were few in trigeminal nerve root. The distribution of microvessels in trigeminal nerve root was uneven. The number of microvessels in the medial portion was less than that of the distant.

神经外膜血管沿神经根径向走行,沿途再发侧支斜行或横行入神经束之间,顺神经根束分布,并发侧支进入神经内膜;半月结内微血管围绕神经节细胞分布;三叉神经根内的微血管配布不均,其近侧端微血管数量较少,远侧端微血管数量较多。

The finer sizes have lower minimum explosible concentrations and higher explosion intensity. When particle sizes of coal dust are less than 75 μm,minimum explosible concentrations and explosion intensity approach a limiting value. In the concentration range measured ( less than 700 g/m3), maximum explosion pressures, maximum rates of pressure rise and explosion indices increase along with the increase of coal dust concentrations. Explosion intensity rapidly enhances along with ignition energy augmenting. Explosion reaction is weak while ignition energy is less than 1 kJ.

煤粉越细,其爆炸下限越低,爆炸烈度越大,但煤粉细到75 μm以下后,这种变化趋势趋缓;在所测浓度范围内(小于700 g/m3),最大爆压、最大压力上升速率和爆炸指数均随煤粉浓度增大而增大;爆炸烈度随点火能增大而迅速增强,点火能小于1 kJ时各煤样在不同浓度的爆炸都很微弱。

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Although translator has turned from being a crystal ball by which the original culture can unrestrainedly penetrate to another crystal ball by which the target culture can freely traverse, the translator's personal embodiment, in the process of cognitive act, are still absent in translation studies. Translators are still subjects without body or simply disembodied subjects.

译者虽然由原语文化可以自由穿透的玻璃球变成了译语文化可以自由穿越的玻璃球,但译者认知过程中的个体体验在翻译研究中依然缺席,译者依然仅仅是一个没有躯体体验的主体。

Chillingly, he claimed our technology is 'not nearly as sophisticated' as theirs and "had they been hostile", he warned 'we would be been gone by now'.

令人毛骨悚然的,他声称我们的技术是'并不那么复杂,像他们一样,和"如果他们敌意",他警告说,'我们将现在已经过去了。

And in giving such people " a chance to be themselves," he saw himself as a champion of th South's hardscrabble underclass, both black and white.

他给了这些人一个"成就自己"的机会,同时将自己看成是南方那些贫困的下层人民的声援者。