下界

And Britain, which scored its best medal haul in a century, is a counterpoint to China.

下界主办国，英国在这届奥运会取得了一个世纪以来最好的成绩，英国将会和北京形成鲜明的对比。

Utilizing the inclusion relationship between two subsets or subspaces, disjunct matrices with the same number of elements 1 in each row and column were constructed. However, the experimental number of elements was greater than the lower bound of information.

利用子集或子空间之间的包含关系可以构建出分离矩阵，它的每行和每列中元素1的个数分别都一样，但试验总次数即行数明显大于信息下界。

The local form of the definition domain was given and its lower bound was determined.

给出局部形式定义域的设置方法，并确定出定义域的下界。

Using the Genetic Algorithm to solve a difficult problem –searching the eigenvalue and the eigenvector of a matrix.

对正矩阵和正对称矩阵的谱半径的下界作了修正。(2)应用遗传算法解决矩阵特征值和特征向量问题。

Bright Star by John Keats Bright star, would I were stedfast as thou art--- Not in lone splendour hung aloft the night And Watching, with eternal lids apart, Like nature's patient, sleepless Eremite, The moving waters at their priestlike task Of pure ablution round earth's human shores, Or gazing on the new soft-fallen mask Of snow upon the mountains and the moors--- No-yet still stedfast, still unchangeable, Pillow'd upon my fair love's ripening breast, To feel for ever in a sweet unrest, Still, still to hear her tender-taken breath, And so live ever---or else swoon to death.

灿亮的星灿亮的星啊，但愿我能如你坚定---但并非孤独地在夜空闪烁高悬，睁着一双永不合拢的眼睛，犹如苦修的隐士彻夜无眠，凝视海水冲洗尘世的崖岸，好似牧师行施净体的沐浴，或正俯瞰下界的荒原与群山被遮盖在轻轻飘落的雪罩里---并非这样---却永远鉴定如故，枕卧在我美丽的爱人的酥胸，永远能感到它的轻轻的起伏，永远清醒，在甜蜜的不安中，永远、永远听着她轻柔的呼吸，永远这样生活---或昏厥而死去。

Birght star —灿烂的星 Bright star, would I were stedfast as thou art--- Not in lone splendour hung aloft the night And Watching, with eternal lids apart, Like nature's patient, sleepless Eremite, The moving waters at their priestlike task Of pure ablution round earth's human shores, Or gazing on the new soft-fallen mask Of snow upon the mountains and the moors--- No-yet still stedfast, still unchangeable, Pillow'd upon my fair love's ripening breast, To feel for ever in a sweet unrest, Still, still to hear her tender-taken breath, And so live ever---or else swoon to death.

灿亮的星啊，但愿我能如你坚定---但并非孤独地在夜空闪烁高悬，睁着一双永不合拢的眼睛，犹如苦修的隐士彻夜无眠，凝视海水冲洗尘世的崖岸，好似牧师行施净体的沐浴，或正俯瞰下界的荒原与群山被遮盖在轻轻飘落的雪罩里---并非这样---却永远鉴定如故，枕卧在我美丽的爱人的酥胸，永远能感到它的轻轻的起伏，永远清醒，在甜蜜的不安中，永远、永远听着她轻柔的呼吸，永远这样生活---或昏厥而死去。

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。

We sat on the foredeck; because of the visionary effect of the highly upwards and we were riding the wind and scaring up to the skies. The boats lying leisurely at anchor here and there and the figures shifting about looked as if they were far away in a world below, and the blurred view also seemed like watching flowers through fog.

我们坐在舱前，因了那隆起的顶棚，仿佛总是昂着首向前走似的；于是飘飘然如御风而行的我们，看着那些自在的湾泊着的船，船里走马灯般的人物，便象是下界一般，迢迢的远了，又象在雾里看花，尽朦朦胧胧的。

The thesis demonstrated the function dependency and the greatest lower bound ofλ-spiral function and proved the inclusion relation of the two functions.

对λ-螺旋形函数的从属性及星函数实部的精确下界给出了证明，并证明了两族函数的包含关系，给出了特殊情况的系数估计。

The existence of its multiple points is proved by means of getting Holder condition of its self-intersection local time and the lower bounds are obtained about the Hausdorff dimension and measure of its multiple times.

lder条件的讨论，证明了其重点的存在性，得到了广义α-stable过程多重时的Hausdorff维数及测度的下界。

However, as the name（read－only memory）implies, CD disks cannot be written onorchanged in any way.

然而，正如其名字所指出的那样，CD盘不能写，也不能用任何方式改变其内容。

Galvanizes steel pallet is mainly export which suits standard packing of European Union, the North America. galvanizes steel pallet is suitable to heavy rack. Pallet surface can design plate type, corrugated and the gap form, satisfies the different requirements.

镀锌钢托盘多用于出口，替代木托盘，免薰蒸，符合欧盟、北美各国对出口货物包装材料的法令要求；喷涂钢托盘适用于重载上货架之用，托盘表面根据需要制作成平板状、波纹状及间隔形式，满足不同的使用要求。