任意性

By the best approximation theory, it is first proved that the SISO (single-input single-output) linear Takagi-Sugeno fuzzy systems can approximate an arbitrary polynomial which, according to Weierstrass approximation theorem, can uniformly approximate any continuous functions on the compact domain.

借助于最优逼近理论，证明了线性SISO TS模糊系统可以逼近任意一个多项式，然后以Weierstrass逼近定理为桥梁，证明了该模糊系统可以以任意精度逼近一个任意的连续函数，从而得到了该模糊系统万能逼近性的一个新的充分条件。

Next, we discuss the relations between left quasi-dual bimodules and left dual-bimodules, we obtain that a left quasi-dual bimodule is a left dual bimodule if it satisfies one of the following conditions: sM is minimal injective and MR is a M-minimal injective kasch-module; MR is a M-minimal injective kasch-module and for any two ideals LI and L2 ofSS rM(L1 n L2)-rw(L1)+rM(I2); sM is minimal injective and for any two submodules A and B of MR,Lastly, we applicate the quasi-duality on smash product algebra R#H, and obtain an answer of the semiprime problem, i.e., let H be a finite-dimensional semisimple Hopf algebra and R be an H-module algebra, if R is left quasi-dual and semiprime, then R#H is semiprime.

我们得到：一个左拟对偶双边模如果满足下列条件之一，则它将成为一个左对偶双边模：_sM是单内射的并且M_R是一个M-单内射kasch-模；M_R是一个M-单内射kasch-模并且对_sS的任意两个理想，有r_M(L_1∩L_2)=r_M(L_1)+r_M(L_2)；_sM是单内射的且对M_R的任意两个子模，有l_s=l_s+l_s。2 在第2.3节中我们将拟对偶性应用于smash积代数R#H，部分解决了半素问题。

The main contributions of the second part of this dissertation are focused on the cryptographic properties of logical functions over finite field, with the help of the properties of trace functions, and that of p-polynomials, as well as the permutation theory over finite field: The new definition of Chrestenson linear spectrum is given and the relation between the new Chrestenson linear spectrum and the Chrestenson cyclic spectrum is presented, followed by the inverse formula of logical function over finite field; The distribution for linear structures of the logical functions over finite field is discussed and the complete construction of logical functions taking on all vectors as linear structures is suggested, which leads to the conception of the extended affine functions over finite field, whose cryptographic properties is similar to that of the affine functions over field GF (2) and prime field F〓; The relationship between the degeneration of logical functions and the linear structures, the degeneration of logical functions and the support of Chrestenson spectrum, as well as the relation between the nonlinearity and the linear structures are discussed; Using the relation of the logical functions over finite field and the vector logical functions over its prime field, we reveal the relationship between the perfect nonlinear functions over finite field and the vector generalized Bent functions over its prime field; The existence or not of the perfect nonlinear functions with any variables over any finite fields is offered, and some methods are proposed to construct the perfect nonlinear functions by using the balanced p-polynomials over finite field.

重新定义了有限域上逻辑函数的Chrestenson线性谱，考察了新定义的Chrestenson线性谱和原来的Chrestenson循环谱的关系，并利用一组对偶基给出了有限域上逻辑函数的反演公式；给出了有限域上随机变量联合分布的分解式，并利用随机变量联合分布的分解式对有限域上逻辑函数的密码性质进行了研究；给出了有限域上逻辑函数与相应素域上向量逻辑函数的关系，探讨了它们之间密码性质的联系，如平衡性，相关免疫性，扩散性，线性结构以及非线性度等；讨论了有限域上逻辑函数各类线性结构之间的关系，并给出了任意点都是线性结构的逻辑函数的全部构造，由此引出了有限域上的"泛仿射函数"的概念；考察了有限域上逻辑函数的退化性与线性结构的关系、退化性与Chrestenson谱支集的关系；给出了有限域逻辑函数非线性度的定义，利用有限域上逻辑函数的非线性度与相应素域上向量逻辑函数非线性度的关系，考察了有限域上逻辑函数的非线性度与线性结构的关系；利用有限域上逻辑函数与相应素域上向量逻辑函数的关系，揭示了有限域上的广义Bent函数与相应素域上的广义Bent函数的关系，以及有限域上的完全非线性函数与相应素域上向量广义Bent函数之间的关系；给出了任意有限域上任意n元完全非线性函数存在性与否的完整证明，并利用有限域上平衡的p-多项式的性质给出了有限域上完全非线性函数的一些基本构造方法。

We make use of a normal element and circular permutations to construct polynomials over the intermediate extension field between F_q and F_ denoted by F_ where s divides t. The polynomials we constructed are F_q-linearly independent and return elements in F_q when they are evaluated at elements of the extension fields.

结合Reed-Solomon码的构造特点，我们将Chaoping Xing与San Ling所构造的线性码的方法推广到有限域的任意次扩张上，首先利用正规元和循环排列来构造系数属于F_q和F_q的任意次扩域F_之间的中间域的具有特殊性质的多项式，中间域记为F_，其中s为t的真因子，由正规元的选择可以保证所构造多项式的F_q-线性无关性，并且这些多项式在扩域F_中取值都属于F_q，从而构造出一类q元线性码。

To the problem that the isotropy and the technological efficiency of the parallel kinematic machine based on Stewart platform are not satisfactory, a novel architecture of 6-DOF 3-dimensional platform parallel kinematic machine (6-DOF 3-D PPKM) based on the 2-2-2-SPS 3-D PPR is presented. The technological efficiency of design of the parallel kinematic machine is analyzed. Its workspace and the effect of design parameters to the workspace volume are studied. By using the submatrices of Jacobian matrix and force Jacobian matrix, the kinematics/mechanics transmission isotropic indices, kinematics transmission indices, load-bearing capacity indices at any configuration of the parallel kinematic machine are proposed, respectively.

分析其结构和装配工艺性，研究其定位姿工作空间及机床结构参数对工作空间大小的影响，基于Jacobian矩阵和力Jacobian矩阵中同量纲元素构成的子阵，提出该并联机床在任意位姿的运动／力学传递各向同性评价指标、运动学传递能力评价指标和承载能力评价指标；基于柔度矩阵中同量纲元素构成的子阵，提出该并联机床在任意位姿的力-位置柔度评价指标、力-姿态柔度评价指标、力矩-姿态柔度评价指标和力矩-位置柔度评价指标；研究各性能指标在定位姿工作空间内的分布情况。

Chapter 4 -rotundity and nearly strict convexity of quotient spaces. It is proved that ifis a -rotund or nearly strict convex Banach space andis a closed and proximinal subspace of, then the quotient spaceis also -rotund or nearly strict convex.

第四章 商空间的-严格凸性和近严格凸性：本章证明了若是Banach空间的任意可逼近子空间，则商空间对原空间的-严格凸性和近严格凸性都具有遗传性。

The Hausdorff property of a kind of classifying mode is defined. And it is proved that the single-layer perceptron can deal with the classifying problems of any Hausdorff pattern sets. Chapter 5 studies the radial basis function networks and a proof of Cover pattern classifiable theorem is presented.

第四章主要研究多层感知机的万能逼近性和最佳逼近性，包括权值有界和隐单元权有界时的情况，定义了一种分类模式的Hausdorff性，证明了单层感知机能解决任意具有Hausdorff性的模式集的分类问题。

Experimental results show that the proposed method can simulate the infrared sequence images of point targets at anytime, any viewpoint and any Field of View (wavebands range from 4 μm to 26 μm).

该仿真方法可以模拟任意时刻、任意指向和任意光学视场4~26μm的点目标红外图像序列，图像生成实时性好。

A class of common homogeneous T-S fuzzy systems was constructed using pseudo trapezoid shaped input membership functions, and it was proved to approximate any nonlinear functions satisfying Lipschitz condition to any degree of accuracy. The conclusion relaxes the conservative assumption of previous literatures, therefore, it is more universal.

构造了一类输入变量采用伪梯形隶属函数的一般齐次T-S模糊系统，进而证明了此类T-S模糊系统能够以任意精度逼近满足Lipschitz条件的任意非线性函数，定理假设的保守性得以降低，结论更具一般性。

We have the honour to make this statement on human rights, sexual orientation and gender identity on behalf of 1 - We reaffirm the principle of universality of human rights, as enshrined in the Universal Declaration of Human Rights whose 60th anniversary is celebrated this year, Article 1 of which proclaims that "all human beings are born free and equal in dignity and rights"; 2 - We reaffirm that everyone is entitled to the enjoyment of human rights without distinction of any kind, such as race, colour, sex, language, religion, political or other opinion, national or social origin, property, birth or other status, as set out in Article 2 of the Universal Declaration of Human Rights and Article 2 of the International Covenants on Civil and Political, Economic, Social and Cultural Rights, as well as in article 26 of the International Covenant on Civil and Political Rights; 3 - We reaffirm the principle of non-discrimination which requires that human rights apply equally to every human being regardless of sexual orientation or gender identity; 4 - We are deeply concerned by violations of human rights and fundamental freedoms based on sexual orientation or gender identity; 5 - We are also disturbed that violence, harassment, discrimination, exclusion, stigmatisation and prejudice are directed against persons in all countries in the world because of sexual orientation or gender identity, and that these practices undermine the integrity and dignity of those subjected to these abuses; 6 - We condemn the human rights violations based on sexual orientation or gender identity wherever they occur, in particular the use of the death penalty on this ground, extrajudicial, summary or arbitrary executions, the practice of torture and other cruel, inhuman and degrading treatment or punishment, arbitrary arrest or detention and deprivation of economic, social and cultural rights, including the right to health; 7 - We recall the statement in 2006 before the Human Rights Council by fifty four countries requesting the President of the Council to provide an opportunity, at an appropriate future session of the Council, for discussing these violations; 8 - We commend the attention paid to these issues by special procedures of the Human Rights Council and treaty bodies and encourage them to continue to integrate consideration of human rights violations based on sexual orientation or gender identity within their relevant mandates; 9 - We welcome the adoption of Resolution AG/RES.

附录：关于性倾向和性别认同联合声明中英文联合声明中文我们很荣幸地代表做出这一关于人权、性倾向和性别认同的声明 1 -如同宣布&所有人类生而自由，平等享有尊严和权利&的《世界人权宣言》——今年是该宣言发表60周年——第1条中所昭示的那样，我们重申人权的普遍性原则； 2 -如同《世界人权宣言》第2条和《公民、政治、经济、社会和文化权利国际公约》第2条及《公民权利和政治权利国际公约》第26条中所陈述的那样，我们重申所有人都有权享有人权，不受任何种类——如种族、肤色、性别、语言、宗教、政治观点或其他观点、国家或社会出身、财产、血统或其他身份——的区别对待； 3 -我们重申要求将所有人权平等应用于所有人类，无论其性倾向或性别认同如何的非歧视原则； 4 -我们深切关注基于性倾向和性别认同的侵犯人权和基本自由的现象； 5 -我们还对世界各国由于性倾向或性别认同而针对人们的暴力、骚扰、歧视、排斥、污名化和偏见，以及这些做法破坏了遭受这些虐待者的完整性和尊严感到不安； 6 -我们谴责基于性倾向和性别认同的侵犯人权行为，无论这些行为发生在哪里，尤其是以此为由使用死刑，法外处决、即审即决或任意处决，酷刑和其他残忍、不人道或有辱人格的待遇或处罚的做法，任意逮捕或拘留，以及剥夺经济、社会和文化权利，包括健康权； 7 -我们回想起2006年，五十四个国家在人权理事会面前发言，请求理事会主席提供一个未来在适当的理事会会议上讨论这些侵犯人权行为的机会； 8 -我们赞赏人权理事会特别程序和条约机构对这些问题给予的关注，并且鼓励他们继续将对基于性倾向和性别认同的侵犯人权事件的考虑纳入其有关权限中； 9 -我们欢迎美洲国家组织大会在其2008年6月3日的第38次会议上通过了关于&人权、性倾向与性别认同&的AG/RES。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。