查询词典 two-dimensional distribution

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 biomimetic pattern recognition makes recognition from the views of "matter cognition" instead of "matter classification", which analyzes and cognizes the high dimensional geometrical distribution that consists of the sample sets in the high dimensional feature space. It provides the theoretic basis of building the neural network based on high dimensional theory.

仿生模式识别从&认识&而不是&区分&的角度来进行模式识别，是对学习样本的全体在特征空间中形成的复杂几何体&形状&的分析和&认识&，为用高维空间理论建立识别神经网络提供了理论基础。

The principle of the two dimensional acoustooptic Q switch is presented,the formulas of the diffraction efficiency and diffraction loss of the AO Q switch with normal Bragg diffraction is derived,the relationship between One dimensional and Two dimensional Bragg diffraction is analyzed.

描述了两维声光Q开关的基本原理，详细推导出正常布喇格衍射的两维声光Q开关衍射效率和衍射损耗的表达式，分析了两维布喇格衍射和一维布喇格衍射之间的关系，并给出了在驱动功率40W、光束直径5mm、光波长1。

The frame of 28 or 29 is formed by two-dimensional highly undulated simple layers of (6,3) topology that catenate in a parallel fashion to give, for the first time, a three-dimensional overall network, instead that a usual two-dimensional one.

首次将二维高度起伏的具有(6， 3)拓扑结构的简单层，通过一种平行方式相互铰链，广延成一种三维聚合网络结构。

Use of tensor product can be from one-dimensional analysis directly from the two-dimensional multiresolution analysis, thus conveniently be constructed of two-dimensional wavelet and wavelet packet and the corresponding decomposition and synthesis algorithms.

利用张量积方法可以从一维多分辨分析直接得到二维的多分辨分析，从而方便地构造得到二维小波和小波包以及相应的分解和合成算法。

Based on summing-up of the existent design method of two-dimensional and three-dimensional inlets,a parametric design method of two-dimensional hypersonic inlet was established by analyzing the restrictiveness and sensitivity of the geometric parameter of the inlet.

在归纳二维进气道和三维侧压式进气道设计方法的基础上，通过参数制约关系分析和参数敏感性分析，提出了二维进气道的参数化设计方法。

Selected several kinds of classical humic and fulvic acids molecular model, interacted with metal iconand Simazine of organic pesticide molecule, drawed up its two-dimensional molecular structure modelusing Hyperchem software and converted the two-dimensional drawjings into three-dimensional chemicalmodels and performed a geometry optimization calculation.

选取几种经典的胡敏酸和富里酸模型，使其与金属离子和西玛嗪分子作用，将生成的结合物利用HyperChem软件绘制二维分子结构模型，然后将其进行三维转换和结构优化。

By taking the strategy of uniting geometry with algebra and using the method of minimal value, the relationships of intersection, parallels and perpendicular between two three dimensional spaces in four-dimensional descriptive geometry are investigated and the calculation formula of the distance between two three-dimensional spaces are given.

用形数结合的观点和条件极值法，研究了四维空间的两三维空间的相交、平行和垂直的相互关系计算出两平行三维空间的距离。

Abnormal distribution is not rare in practical measurement. Beta distribution contains not only central distribution but also non-central distribution. It is a good method to simplify the research of practical measurement distribution.

为了解决实际测量中的非正态分布的表示问题，本文采用含有两个参数的Beta分布来统示表示多种类型分布，并且解决了该分布的参数、特征值的计算。

The main topics include probability space, discrete distribution, continuous distribution, multivariable distribution conditional distribution and the sampling distribution theory.

课程方要课题含机率空间、离散分布、连续分布、多变量分布及抽样分布等的简介。

In contrast to the ubiquitous rising-sun-with-rays military flag of the Japanese, Chinese banners and ensigns feature a range of designs.

与遍地都是的太阳军旗不同，中国人的旗帜和徽章设计得各式各样。

From their small corner of Feng's Guangzhou headquarters -- a jumble of pink leashes, squeezable rubber steaks, and plastic doggy Santas for Fido's stocking -- Soleil's designers come up with at least five new products a month.

从Feng 设在广州总部的产品展示柜台上可以看到，Soleil的设计师每月至少设计出5件新产品。