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In this paper, we introduce the algorithm of Schoof-Elkies-Atkin to compute the order of elliptic curves over finite fields. We give out a fast algorithm to compute the division polynomial f〓 and a primitive point of order 2〓. This paper also gives an improved algorithm in computing elliptic curve scalar multiplication. Using the method of complex multiplication, we find good elliptic curves for use in cryptosystems, and implemented ElGamal public-key scheme based on elliptic curves. As a co-product, we also realized the algorithm to determine primes using Goldwasser-Kilian's theorem. Lastly, the elliptic curve method of integer factorization is discussed. By making some improvement and through properly selected parameters, we successfully factored an integer of 55 digits, which is the product of two 28-digit primes.

本文介绍了计算有限域上椭圆曲线群的阶的Schoof-Elkies-Atkin算法,在具体处理算法过程中,我们给出了计算除多项式f〓的快速算法和寻找2〓阶本原点的快速算法;标量乘法是有关椭圆曲线算法中的最基本运算,本文对[Koe96]中的椭圆曲线标量乘法作了改进,提高了其运算速度;椭圆曲线的参数的选择直接影向到椭圆曲线密码体的安全性,文中利用复乘方法构造了具有良好密码特性的椭圆曲线,并实现了椭圆曲线上ElGamal公钥体制;文中还给出了利用Goldwasser-Kilian定理和椭圆曲线的复乘方法进行素数的确定判别算法;最后讨论了利用椭圆曲线分解整数的方法并进行了某些改进,在PC机上分解了两个28位素数之积的55位整数。

The features of this dissertation are lie in: a The concept of"Influence Distance"was presented to quantitatively express"corner effect", systematicly studied on the influence of all factors on"influence distance". It could provide reference to angle designing from the view of heat treatment; b Deeply studied on the influence of shape factor to carbon concentration field. It could provide reference to gear designing from the view of heat treatment; c New model was set up to describe the two-dimensional concentration field of carbide dispersion carburizing. The shortcomings of"effective diffusion constant method"and"equilibrium constant method"were overcome in this model.

本文的特色在于:①提出了用"尖角影响距离"定量描述"尖角效应"的方法,并系统研究了各种因素对"尖角影响距离"的影响规律,从热处理角度为工件尖角部位的设计提供依据;②首次深入研究了齿轮的各种形状因素对浓度场的影响,从热处理角度为齿轮设计提供依据;③建立了能够更有效地模拟过饱和渗碳浓度场的数学模型,该模型克服了"有效扩散系数法"及"平衡常数法"的不足,与"最小自由能法"可互为补充。

Several other poster presentations reinforced the message that once-weekly epoetin was effective, although none of these others had a comparator dose. Two posters presented results from meta-analyses of epoetin alfa clinical trials. One was carried out by Pere Gascon, MD, PhD, and colleagues, from the University of Barcelona, in Spain, and involved 4296 patients with mixed tumor types, while the other, reported by Mario Dicato, MD, from the Luxembourg Medical Center, involved 2019 patients with breast cancer. Both concluded that 40,000-IU epoetin alfa is effective and well tolerated; it ameliorates the impact of chemotherapy on hemoglobin and improves quality of life, thus representing "good anemia management," the researchers concluded.

许多其他的壁报研究同样证实每周投予一次红血球生成素是有效的,虽然其他研究中未使用比较组;另两项比较红血球生成素阿法临床试验结果的综合分析,一项是由Pere Gascon医师与其来自西班牙巴塞隆纳大学的同事,收纳了4,296位各种肿瘤种类病患的研究;另一篇是来自Luxembourg医学中心Mario Dicato医师,收纳2,019位乳癌病患的研究,这两项研究的结论都是40,000单位的红血球生成素阿法同样有效、且耐受性佳;该疗法降低化学疗法对血红素的不良影响,且改善了生活品质,因此可以说为是「良好贫血处理」的标竿。

Chapter one is "Introduction". On the basis of summarizing the history of the study of the pictophonetic characters, we suppose some theoretical principle, such as the principle of the correspondence between the form and the meaning of the individual graph of Chinese characters, the principle of the total graphs of Chinese characters being a character-formation system, and the principle of the optimum development of the character -formation system in the history, and som analytic methods, such as the methods of structrue-function analysis, form-position analysis and meaning factor analysis, in the study of the pictophonetic characters. Chapter two is titled"General knwledge of the pictophonetic character." We discuss their origins, nature and some standards of distingnishing them, introduce the knowledge about the editions of SHUO WEN JIE ZI, analyse the functions of the modules of pictophonetic characters in detail, discuss concretely the function of phonetic graphs showing origins and pronunciations, the function of meaning graphs showing meanings and analogies, and the function of distinguishment when the two kinds of graphs are conbined. Chapter three is"The system of meaning graphs of Xiao Zhuan system."After we describe the structure of the meaning graph system, the relations between meaning graphs, the distributions of the function of meaning graphs showing meanings, and the frequency of all this kind of graphs, we get a table of all meaning graphs, a table of the frequency. Chapter four is"The system of phonetic graphs of Xiao Zhuan system."We describe the structure of the phonetic graph system, the relations between phonetic graphs, and between their function showing origins and their function showing pronunciations, and their frequency, then we get ageneral table of phonetic graphs and table of their frequency. Chapter five is "conclusion". We think that systematical methodology is useful in describing and analysing the formation system of Chinese characters. The methodology is adaptable in describing the formation system of modern Chinese characters as well as the historical character systems, adaptable in describing horizontally as well as comparing vertically. Only when we finish the systematical vertical compare on the base of systematical horizontal decription, could we know the true history of the system of Chinese characters, recover the rule of the system's development, and supply the theoretical supports for the scientifical arrangement of modern Chinese characters.

第一部分—绪论,在总结形声字研究历史状况的基础上,提出了研究形声系统的理论原则和分析方法,即汉字个体字符形义统一的思想,汉字字符集合构形系统的思想,汉字构形系统历史演变系统优化的思想等三项理论原则和结构功能分析法,形位分析法,义素分析法等三种分析方法,还扼要地介绍了具体的工作程序和论文的主要内容;第二部分—形声字概述,论述了形声字的来源、性质和鉴别标准,介绍了对《说文解字》正篆形声字说解中的传抄讹误,版本异文,说解错误校勘和考证的经过,详细分析了形声字构件的功能,具体讨论了声符的示源功能与示音功能,义符的示意功能与类化功能以及声符与义符组合中的相互区别功能;第三部分—小篆字系的义符系统,从义符系统的构成、义符间的相互关系,义符示意功能的分布及义符的构字频度等不同侧面,对义符系统进行了全面的描写,产生了义符总表、义符间意义关系总表和义符构字频度总表;第四部分—小篆字系形声字的声符系统,从声符系统的构成、声符间的相互关系,声符的示源功能与示音功能的关系以及声符的构字频度等不同侧面,对声符系统进行了全面描写,产生了声符总表和声符构字频度总表;第五部分—结束语,在全面测查小篆字系形声字的基础上,对研究汉字的方法和现代汉字发展方向的问题提出了一些看法,认为系统论的方法是描写和分析汉字构形系统行之有效的方法,系统论方法,不仅适用于历史上文字系统的描写,也适用于现代汉字构形系统的描写,不仅适用了断代描写,也适用于历史比较,只有在对汉字断代系统描写的基础上进行系统的历史比较,才能认清汉字系统历史演变的真相,揭示汉字系统发展的客观规律,为科学地整理现代汉字提供理论上的依据。

The effects of ,, and temperature on the distribution ratio have been investigated. The composition of the extracted species is determined by the methods of slope ratio, continuous variation,extraction isotherm curves and their chemical analyses. The extraction is found to proceed according to the reaction:AuCl_4 ~-+DEOTA_(0)TAuCl3 .DEOTA_...

着重研究了盐酸浓度、氯离子浓度、氢离子浓度和温度诸因素对萃取的影响;对有机相中金的反萃行为也进行了初探;通过斜率法、等摩尔系列法、萃取等温线法确定了配合物的组成;推定了DEOTA在盐酸体系中萃取金的机理为配位取代反应;计算了萃取反应的表观平衡常数和配合物的稳定常数。

In complexes 8~16 synthesized by hydrothermal method, most of the ligands adopt multidentate coordination modes joining several lanthanide ions into high-dimensional coordination polymers. And changing of 5-substituting group on isophthalic acid has a little effect on the coordinated abilities of the meta-carboxyl groups.

水热法制备的配合物8~16中,配体多采取多齿配位模式桥连多个稀土离子,形成高维配位聚合物,同时由于羧基氧原子和稀土离子的强的键合力,间苯二甲酸的5位取代基的变化对间位羧基的配位能力的影响不大。

In this paper, the dislocation in Φ50mm CZ sapphire crystal had been observed by chemical etching with metallograph and SEM.

摘要本文用化学腐蚀法对CZ法生长的φ50mm蓝宝石单晶中的位错和缺陷进行了分析研究,并采用金相显微镜和SEM对其进行了显微观察和分析。

On the poet's choice, mainly be decided by two standards, one is the popularity and influences of works; two is the meaning of the creations development that it create for the whole colony. Owing to above two standards, the writer chooses seven writers to launch the treatise, they are Jidi Maja, Jimu Langge, Luwu Laqi, Ma Deqing, Aku Wuwu , Asu Yuer, Eni-Mushashijia. In discussing the process, the writer used the nationality and Poetics of the poem as the latent clues, emphasized to inquiry into three main roads and three main realms. On the article structure, the full text mainly is divided into two parts, one is the concrete imago analysis to each poet creations, two is upon the analytical foundation the integration of the theories, with this the treatise could be united into an organic whole. In regard to the conclusion, we educe the characteristics of the colony is deep consciousness to the nation culture, also extensive exploration and attention to poetics. The blemish is the inside emotion and sensibility is similar or duplicate and that the creation pattern is narrow. The main develop threads of the colony are upon the female clan culture the diverse poem skill investigation, its nation culture value tropism present the rising spiral type of return- leave- return again.

在研究方法上,本文以意象分析法为贯穿全文的主要方法,通过对意象的具体分析来****凉山诗群的诗歌世界;在诗人的选择上以其作品的影响力及意义为标准,选择了这一诗群的七位诗人展开论述,他们分别是吉狄马加、吉木狼格、倮伍拉且、马德清、阿库乌雾、阿苏越尔、俄尼·牧莎斯加;在论述过程上,笔者以诗歌的民族性和诗性作为前后贯穿的潜在线索,着重探讨了这一诗群创作的三个主要倾向和三个主要领域,前者详论,后者略述,具体表现在对前三位诗人的论述以诗人论的形式详细展开,探讨他们所代表的凉山诗群发展过程中的三个主要创作倾向,即民族文化的深层开掘、诗艺的实验性探索和艺术哲学的尝试性建构,对后四位诗人的论述则以主题的方式展开,探讨他们所代表的凉山诗群在爱情诗、乡土诗和文化诗三个领域的探索;在文章结构上,全文主要分为两大板块,一是对各位诗人创作的具体意象分析,二是在前文分析的基础上进行理论的整合,以此将前面散珠似的论述贯穿成一个有机整体;在结论上,我们通过整合得出:1、凉山诗人群新时期以来诗歌创作的大致发展脉络:在母族文化的基质之上的多元诗艺探索,其民族文化价值取向呈现为回归—离去—再回归的螺旋式上升形态;2、新时期彝族凉山诗人群汉语诗歌创作的特点,即民族文化意识的深层自觉,对诗性的关注和探索;3、新时期彝族凉山诗人群汉语诗歌创作的缺陷,即情感意蕴的雷同和创作格局的狭小。

Combining with the characters of liner industry, the paper set up an evaluation index system. And then 15 liner corporations picked out from top 20s in container liner industry were evaluated synthetically with catastrophe progression method and set pair identical degree analysis method. Based the above evaluation, a contrast analysis between the core competence of the container liner corporation in our country and ones in other countries was conducted.

在此基础上,本文在全球运力排名前20位的大型集装箱班轮企业中选取了15家为研究对象,结合国际集装箱班轮运输业的行业特征,建立了核心竞争力评价指标体系,挑选了突变模糊隶属函数法和集对同一度分析法两种方法,对研究对象的核心竞争力进行了综合评价,并对结果做出了分析,同时,借助于核心竞争力评价指标体系,对我国集装箱班轮企业的核心竞争力状况进行了对比分析。

However, he was subject to strife of other senior artisans. Claude Miniyaer did not give up his enthusiasm to research on jewelry craft. Minister Mazarin called on artisans to try for new gem polishing method. Most craftsmen held the traditional concept of polishing most precious gold and pearl jewelry, while Claude Miniyaer had realized the importance of the trial and joined with several craftsmen to research on combing different gem polishing ways. By working out a new gem cut-rose cut, they discovered unique features of diamonds, thus started the diamond era.

克洛德·米尼亚尔并未因此而放弃对首饰制作的热心钻研,当路易十四的朝廷大臣马萨林征集工匠试验新的宝石琢磨法时,大部分工匠还只停留在对传统观念中最贵重的黄金和珍珠首饰大加修饰之上,克洛德·米尼亚尔却感觉到了试验的非比寻常,他恳请加入其中,和另几位工匠开始对宝石进行不同刻面相结合琢磨法的尝试,他们的努力发掘了钻石从未被发现的特性,于是,宝石玫瑰形琢磨法问世了,一个大放异彩的钻石时代也就从这里开始。

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For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降,而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新

Lao Qiu is the Chairman of China Qiuyang Translation Group and the head master of the Confucius School. He has committed himself to the research and promotion of the classics of China.

老秋先生为中国秋阳翻译集团的董事长和孔子商学院的院长,致力于国学的研究和推广。