维数

Using the theories of probability, algebra and spectral theory comprehensively, we investigate some related characteristics of logic functions in cryptography: Firstly, we introduce m order generalized s - correlation immunity of Boolean vector functions and prove that the higher order generalized ε- correlation immunity can guarantee the lower order generalized ε- correlation immunity. Then by applying decomposition formula of joint distribution of Boolean random vectors, we give a spectrum criterion of m order generalized e - correlation immunity of Boolean vector functions. Furthermore, we show that the algebraic degree of m order generalized e - correlation immune Boolean vector functions is not restricted by the correlation immune orders.

本文主要运用概率论的思想和方法，并结合代数学和频谱理论的相关知识，对密码学中逻辑函数的有关性质进行了研究，主要包括以下三个方面的内容：首先，对布尔向量函数的相关免疫性进行了拓展，给出了k维布尔向量函数m阶广义ε-相关免疫的概念，证明了布尔向量函数的高阶广义ε-相关免疫性蕴含低阶广义ε-相关免疫性，并根据布尔随机向量联合分布分解式得到了布尔向量函数m阶广义ε-相关免疫的一个谱判别条件，还说明了m阶广义ε-相关免疫布尔向量函数的代数次数不受相关免疫阶数的制约。

This study uses the soil parameter reduction coefficients to model the seismic pile responses affected by liquefied soils. One dimensional wave equation analyses were conducted for the solutions. Based on the bore-hole data and nearby seismic record, the soil parameter reduction coefficients of liquefied layers can be obtained through a pre-analysis for liquefaction potential of the site. The reduction coefficients were used to reduce the soil modulus for liquefied soils, and the lumped mass analysis is performed to obtain the free-field response of the site. The ground deformations are superimposed onto the pile elements for discrete wave equation analysis, and the non-linear pile responses can be simulated through the modified Bouc-Wen model. Thus the deformations and failure mechanism of the pile are able to investigate.

中文摘要本研究之土质参数折减系数模式，系以一维波动方程模拟地盘液化状态下之桩基础动力反应，依据现场土层钻探资料与邻近测站之地震纪录，由土壤液化潜能评估法配合日本相关规范求得液化土层之土质参数折减系数，以此系数对土壤强度模数进行折减，并使用集中质块法求取自由场之地盘液化反应，再以此为前置解作用於桩基础之波动方程求解，桩身刚度以简化之Bouc-Wen模式模拟其非线性行为，以了解液化地盘内基桩之变形行为与破坏机制。

Around the country plenty of old boys are becoming available: Anthony Barness from Bolton, Graham Stuart from Norwich, Andy Myers from Brentford, and former youth team players Nathan Blake from Leicester and Ritchie Hanlon from Lincoln are all released.

遍及英伦的数名前切尔西队员成为自由身：博尔顿的安东尼-巴内斯、诺维奇的格拉汉-斯图沃特、布伦特福德的安迪-麦尔斯、以及前青年军成员在莱斯特的内森-布雷克和在林肯的里奇-汉伦都已合同期满。

But over the past several days, we have seen a serious split in Taiwanese society, with politicians and political parties disrupting societal order for political gain, all major media outlets pursuing their respective political agendas under the guise of reporting the news, and the abuse of state authority under the guise of "public safety" to brutalize people wishing only to peacefully express their opinions.

但，过去数日，我们看到台湾社会严重分裂，政治人物与政党为政治利益作出危害社会秩序之决策，各大媒体为政治立场假新闻公正之名行利己之实，国家公权力以「维安」之名，以粗暴过当的方式对待许多和平表达意见者。

Diamantmuseum Brugge displays a number of unique objects: The interior of the imaginary workshop of Lodewijk van Berquem; a rare replica of the crown of Margaret of York, handmade in Bruges; samples of Bruges' all important imports and exports during its early Middle Ages; original mining equipment and a mine shaft; an exclusive 1:1 scale model of the total quantity of world diamond production; hundreds of genuine manufacturing tools, for sawing, bruting and polishing, used within the diamond industry in Belgium, and, of course, thousands of real diamonds.

布鲁日钻石博物馆展示了若干独特的主题，路德维希·凡·伯克姆的作坊内景；布鲁日手工制作的约克玛格丽特珍贵的王冠复制品；布鲁日在中世纪进出口的所有样品；原始的采矿设备和矿井，一个独一无二的用立方锆制成的表示全世界钻石产量的1比1模型；数百件在布鲁日的钻石业中曾使用过的加工工具，包括用来切割、研磨、抛光的真实的工具，当然，还有几千颗真正的钻石。

A few days ago David Sereda received an email from Boyd Bushman and Lucky Marvin with this alarming information.

数天前戴维Sereda收到一封来自博伊德布什曼和马文女士有令人担忧信息的电子邮件。

The pupose of the research is to develops public key encryption and digital signature shemes based on matrix canonical decomposition problem, or matrix diagonalization problem over Z/n, the ring of integers with modulo-n addition and multiplication in particular, where n is an RSA modulus.

本课题研究基于矩阵经典分解问题，特别是Z/n上矩阵对角化问题的公钥密码与数字签名算法，其中n是一个RSA模数。新算法采用由一个矩阵多项式构成的多维单向陷门函数，其单向性由矩阵对角分解问题(即通过相似变换将矩阵化为对角型的问题)的复杂性来保障，对该函数求逆的陷门由矩阵的特征值或特征向量提供。

Monte Carlo simulations of phase equilibria for lattice polymer systems with chain length r=1,2,4,8 are carried out in the canonical ensemble. All chain molecules are introduced into the cell regularly upon initiation, followed by being perturbed through the repta-tion, end - rotate, crank - shaft and L - flip motions.

应用修正的Widom试验粒子方法在三维立方格子中计算了链节数分别为r=1，2，4，8的链状分子在不同温度、密度下的剩余化学位，然后运用热力学关系计算了以上系统在不同温度、密度下的化学位、压力和压缩因子，并求得系统的相平衡曲线和临界点。

One is to look for evidence of population bottlenecks in other species, especially animals that were not hunted by the Clovis people.

第一种是在其它物种身上找到同样存在种群数瓶颈的证据，尤其是那些没有被克洛维斯人猎杀过的物种。

In this article, a class of nonlinear elliptic boundary value problems with singular coefficient in one-dimensional domain was considered.first of all existence and uniqueness of the weak solution of the variational problem correspondin

本文考虑如下一维四阶非线性奇异边值问题 Lu=D~2p(xD~2u-Dp(xDu+pu=fx，u(x x∈I≡(0，1)u(0)=u′(0)=0 u(1)=u′(1)=0的有限元方法。给出相应问题广义解的存在唯一性和先验估计，并通过与解的E-范数投影相比较得到Galerkin逼近的L_2和最大

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。