同余的

Main work follows:(1) In the first part of this paper, a historical development of the number theory before Gauss is reviewed.Based on the systematic analysis of Gauss"s work in science and mathematics, inquiry into the mathematical background that Disquisitiones Arithmeticae appeals and Gauss"s congruent theory;(2) The development process of Fermat"s little theorem and its important function in the compositeness test is elaborated through original literature.we think that the first three section of Disquisitiones Arithmeticae is a summary and development for ancestors" work about Fermat"s little theorem,show that Fermat"s little theorem played an important role in the elementary number theory;(3) With the two main sources of the quadratic reciprocity law, investigating Fermat,Euler,Lagrange,Legendre, until the related work of Gauss,the way to realize the laws huge push to the development of algebraic number theory in 19 centuries.

本文主要做了以下工作：(1)首先回顾了高斯之前的数论研究状况，在系统分析高斯的科学与数学成就的基础上，探讨了《算术研究》出现的数学背景和高斯的同余理论；(2)通过对原始文献的系统解读，深入分析了费马小定理发现发展的历程以及在素性检验中的重要作用，指出《算术研究》前三节是高斯在总结并发展了前人对该定理研究的基础上形成的，并揭示了费马小定理在初等数论定理证明中的核心地位；(3)以二次互反律的两个主要来源为线索，详细考察了费马，欧拉，拉格朗目，勒让德，直到高斯的相关工作，揭示了该定律对十九世纪数论发展的巨大推动作用。

In this paper, after the introduction of the basic concepts and the main results on K〓 theory, relative K〓 theory and the theory of classical groups of degree 2 which is related to K〓 theory, we study the problems of the computation of K〓 for the ring of integers of quadratic imaginary fields, examples of subrings of quadratic fields which are not universal for GE〓 and generating set of the Cokernel of the canonical homomorphism from K〓 to K〓.

本文在介绍了K〓理论和相对K〓理论以及与K〓理论有关的2阶典型群的基本概念及主要成果之后，对于虚二次域代数整环的K〓群的计算，非GE〓泛的虚二次域的子环以及K〓到K〓的自然同态的余核的生成元集等问题进行了研究。

Schauengurg[2] considered more general case and found necessary and sufficient conditions for the cosmash product coalgebra H Q to be a Hopf algebra with a Hopf subalgebra H and a weak projection !

Schauenburg在文献[2]中把Radford的研究加以推广，给出了使余smash积HQ为Hopf代数，H为HQ的子Hopf代数，且具有弱投射π：HQ→H(即π是左模余代数同态，且π|_H=id_H)的等价条件。

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。

Query requests a semantic analyzing module and a global query processing module to process the case of homograph and thesaurus. A Sub-query localization processing module processes case caused by different measure unit. Redundancy discarding module processes case caused by error of redundancy data.

查询请求语义分析和全局查询阶段处理同形异义和异形同义情况、子查询本地化模块处理计量单位不同所造成的影响、冗余处理阶段根据策略处理有冗余结果集中内存在错误数据所造成的冲突。

The company since its inception in 1990, contains more than a decade after the development of the Qingdao Municipal now become the meat processing industry and food catering industry leading enterprises, more than 6,000 yuan in fixed assets, more than 600 employees, of whom have senior professional titles and 168 staff , With more than 300 domestic sales companies and networks, developed the four major series, more than 300 kinds of sauce and meat products, meat products has won the Boni Ya "brand-name Qingdao","Shandong famous brand","rest assured that Chinese food The credibility of the brand "and" national stability, the quality of qualified products "such as a number of honorary titles, the company for many years Qingdao municipal government departments have been awarded the" Spark of leading enterprises "," economic units-the-art "," advanced unit to pay tax in accordance with the law "and" re-Shou contract Credit units "," AAA grade credit enterprise ", and so on a number of honorary titles. Boni Ya

公司自1990年成立以来，历经十余载的发展，现已成为青岛市肉制品加工业及食品配餐业的龙头企业，固定资产6000余万元，员工600余人，其中具有专业技术职称中高级人员168人，在国内设有300多家销售公司及网点，现在研制出四大系列，300余种肉制品及酱制品，波尼亚肉制品先后荣获&青岛名牌&、&山东名牌&、&中国放心食品信誉品牌&、&全国质量稳定合格产品&等多项荣誉称号，公司连续多年被青岛市政府有关部门授予&星火龙头企业&、&经济先进单位&、&依法纳税先进单位&、&重合同守信用单位&、&AAA级信用企业&、等多项荣誉称号。

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。

Because the CMYK color business card printing and making basic membership card is based on the dot to overprint colouration and instead use spot color is basic to business card printing and membership card production, although typically spot color is only partial use of the image, but valuation, it is conventional to general printing inks price to estimate; in addition, if the same suites have four business card printing and membership card making color, cards and membership cards for the purpose of making is tantamount to another color, if the business card printing and membership card making machines have no spare business card printing and membership card production unit (for example, less than four color business card printing and membership card making machine or four-colour business card printing and membership card making machine), you have to spend double the amount of real time business card printing and membership card production cost is higher.

因为CMYK四色制卡和会员卡制息根基因此网不背叠印呈色，而搁置专色则根基以实不天制卡和会员卡制息，尽管凡是专色只是在图像的部分搁置，但估价时，不惯上却因此凡是印墨的两倍代价来估算的；此外，如果同版背还来有了四个制卡和会员卡制息色，差制卡和会员卡制息而言不离即是众了一个颜色，如果制卡和会员卡制息机操纵众余的制卡和会员卡制息单位（如超出四色的制卡和会员卡制息机或四色制卡和会员卡制息机），不离又给众花一倍的工夫来制卡和会员卡制息，不败本也不离更高了。

This paper analyses and systematically studies the structure of some special quantales (such as characterization of idempotent left-side spatial quantales, characterization of simple quantales); relations among elements of quantale; inner links between prequantales and quantales; relations among nuclei and quotiont quantales and congruences of quantale; relations between closed filters and closed maps; categorical properties of category Quant.

本文对Quantale的元素之间、核映射与商Quantale以及同余关系之间的关系，特殊Quantale的结构（如幂等左侧空间式Quantale的特征，单纯Quantale的特征等），Prequantale和Quantale之间的内在联系，Quantale中的闭滤子和闭映射以及Quantale范畴Quant的性质等作了较为系统的研究。

This paper analyses and systematically studies the structure of some special quantales (such as characterization of idempotent left- side spatial quantales, characterization of simple quantales); relations among elements of quantale; inner links between prequantales and quantales; relations among nuclei and quotient quantales and congruences of quantale jrelations between closed filters and closed maps ;categorical properties of category Quant.

本文对Quantale的元素之间、核映射与商Quantale以及同余关系之间的关系，特殊Quantale的结构(如幂等左侧空间式Quantale的特征，单纯Quantale的特征等)，Prequantale和Quantale之间的内在联系，Quantale中的闭滤子和闭映射以及Quantale范畴Quant的性质等作了较为系统的研究。

It seems likely that Kraft will return with a better offer.

看起来卡夫要重新考虑一个更好的出价了。

But he'd rather burn off my feelers and watch me squirm.

可他却放任那个家伙对我为所欲为！