查询词典 abscissa of uniform convergence

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。

In order to achieve uniform distributing water along the distributing water trough of peripheral feed sedimentation basin and improve the effect of the sedimentation basin,an equation of the water surface curve along the uniform distributing water trough and its hydraulic calculation were preliminarily discussed.

为使周边进水沉淀池的配水明槽均匀布水，提高沉淀池的沉淀效果，对沿程均匀配水槽的水面曲线方程及其计算进行了初步探讨。

Regarding the speed along with the displacement even change's uniform non-uniform linear motion, its acceleration should define like this: At the unit displacement the speed change (the physics significance is: The speed along with the displacement change "the speed"), like this has:, the acceleration unit should be , Expression speed change which causes in proportion to as a result ,of the speed action of force.if the final velocity is 0, acts according to , namely .

对于速度随位移均匀变化的匀变速直-运动，它的加速度应该这样定义：在-位位移上速度的变化（物理意义是：-速度随位移变化的"快慢"），这样-有：，加速度的单位应该是，表示由于正比于速度的力作用而引起-速度的变化，其中。如果末速度为0，则根据，即。

The uniform reciprocating motion is developed based on the character of uniform transmission ratio of gear transmission.

由于这两种机构产生的往复运动的速度是变化的，影响了机床的加工质量。

Folded filter material is packed in the form of high intensity Mold hardboard, fluttering in larger areas,dust particles into the air effectively blocked by the filter material between the convolution and deconvolution, cleaner air from the other side of uniform outflowit is gentle and uniform airflow through the filter.

过滤材料是以折叠形式装入高强度模且硬纸板内，迎风面积增大，流入空气中的尘埃粒子被过滤材料有效阻挡在褶与褶之间，洁净空气从另一面均匀流出，因此气流通过过滤器是平缓和均匀的。

Finally the conclusion that the un-uniform slow wave structures are better than the uniform slow wave structures for the suppression of the backward-wave oscillation and harmonic gain is given. A design measure for high power and broad-band TWTs is proposed.

最后给出非均匀输出线路在返波、二次谐波抑制和提高电子互作用效率上的效果的总结论，并为宽带高功率行波管输出线路的设计提供了建议方案。

In order to reasonably use design storm hyetograph in uniform area, we need to select a regionalized representative hyetograph from alternatives in uniform area.

但限於雨量测站为点的分布，因此必须将雨型设计结果分类及区域化，并求得区域代表雨型，如此方能为未设站区域使用，亦能合理的应用於降雨迳流模式中。

According to this understanding, this thesis tries to modify PSO algorithm in order to improve its quality of solutions. The main approches include: using uniform design to ensure the uniform distribution of initial particles in the design space; adding mutation operation to increase the diversity of particles; decreasing the maximum velocity limitation and the velocity inertia automatically to balance the local and the global search efforts; developing a new approach to treat the design variables exceeding the bounds; using extensive local searches to escape local minimum. The overall effect of these approaches can yield better results for most test problems.

有鉴於此，本文针对粒子群演化法之流程参考相关文献并稍作改变，使得粒子群演算法在结果的收敛上更具优势，本文的主要改进的方法包括：应用均匀设计的概念使得初始的粒子可以更均匀地分布在空间上；利用突变增加粒子之间的差异性与多样性；利用适当控制的最大速度限制及惯性权重控制，达到区域搜寻与全域搜寻的效果；应用新的边界处理机制处理设计变数超过上、下限的问题；利用区域强化搜寻针对粒子附近地区，再作进一步的搜索以得到更佳之结果；将各种方法综合后配合粒子群演算法使用，可以得到不错的结果。

This thesis firstly defines the uniform integrability and absolute continuity of fuzzy variables, discusses their relationships, and provides an approach to checking the uniform integrability of fuzzy variables.

本文首先定义模糊变量序列的一致可积和绝对连续，讨论它们之间的关系并且给出判别一致可积的方法。

We will demonstrate the specification of reference prior distribution on the random covariance matrix. We will consider the approximate uniform shrinkage prior and approximate Jeffreys' prior. Both are formulated based on the approximated likelihood function. Under generalized linear mixed models, we show that the posterior mode under Jeffrey's prior is asymptotically closer to the REML estimate than the mode under uniform shrinkage prior does.

在广义线性混合模式下，我们证明了在样本数很大时，随机效应之变异数成份的后验众数和REML估计值会近似相等，同时也建立了后验众数和REML估计值的近似关系式，并提出了比较二种后验众数与REML估计值之间远近的准则。

Listen,point and check your answers.

听，指出并且检查你的答案。

Warming needle is one of effective treatment methods for knee arthralgia aggravated by cold,and it is simple,safety,so it should be developed in clinical acupuncture and moxibustion extensively.

但以本院科针灸门诊在2005年1月—2006年6月期间共收治膝痛患者100余例，经过临床的诊断后，其中施以温针治疗的48例，疗效显著，报道如下。1临床资料本组病例48