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Byapplying a general large deviation theorem of Kifer and Ruelle's Smale space tech-nique together with his unique equilibrium state result for non-Holder continuousfunctions,we obtain a level-2 LDT for the Axiom A endomorphism with respectto its equilibrium states,and for Axiom A attractors of the endomorphism withrespect to the Lebesgue measure.
利用Kifer的一个一般性的LDT,Ruelle的Smale空间方法及其关于非〓连续函数平衡态的存在唯一性结果,我们证明了公理A自映射相对平衡态的level-2 LDT,以及自映射的公理A吸引子相对Lebesgue测度的level-2LDT。
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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。
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Land reserve is a measure of real estate companies have an important measure of long-term development.
土地储备成为衡量房地产公司是否具备长久发展的重要尺度。
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In this paper,with respect to the ordinal variables,the definitions of attribute reduction of dominance-based rough set approach in ordered information systems and ordered decision tables are given.Then the approach of sorting objects comprehensively using rough set theory is brought in to obtain a series of ranks.Based on these ranks,nonparametric methods to analyze correlation between two attribute subsets are introduced,and Spearman rank correlation coefficient is used as a measure of attribute correlation.Based on this measure,a new method of attribute reduction of ordered information systems and ordered decision tables is presented without changing the ordinal information of the universe.
针对有序尺度变量,给出了有序信息系统与有序决策表在优势关系下的粗糙集约简定义;利用粗糙集方法将对象综合排序,进而得到一组秩;根据这些秩,运用非参数统计的思想研究了两个属性子集之间的相关性,并将Spearman秩相关系数作为属性相关性度量;在不改变总体序信息情况下,给出了基于此度量对有序信息系统与有序决策表进行约简的新方法。
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Let there be one measure of wine throughout our whole realm; and one measure of ale; and one measure of corn, to wit,"the London quarter"; and one width of cloth (whether dyed, or russet, or "halberget"), to wit, two ells within the selvedges; of weights also let it be as of measures.
全国度量衡应当统一。酒类、爱尔啤酒、谷物概以伦敦夸特为单位;衣料长度(无论染布、土布或锁子甲)定为上下两边之间长为二码;衡器亦如量器统一。注: a 、可能是指锁子甲的衬里。
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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。
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This paper is about the position and fanction in the society of forestry road of Fujian Province,analying the water damage reason of foresty road from low congenital standard desing,some prevention and cure measure are advanced in overall technological transform so as to encourage to raise a mew level in frighting calamities ability of forestry road of Fujian Province Keywords:forestry road the reason of water damage prevention measure
提要:本文叙述了福建省林业公路在社会上的地位作用,从林业公路先天性设计标准低等方面分析了林业公路发生水毁的原因,提出了进行全面技术改造等防治水毁的一些措施,以促使福建省林业公路的抗水毁能力提高到一个全新水平。林业公路水毁原因防治措施The Analysis of Water Damage Reason and Prevention Measure of Forestry Ro
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Surface carbon is a measure of organic contaminants and surface oxygen is a measure of native oxide.
表面碳,是衡量有机污染物和表面氧,是衡量本土氧化氮。
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Any delay in shipping our order will involve us in a certain measure of difficulty.
析:句中的measure不是一般语篇中的&测量&,在商务语篇中可译为&一定数额&。
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It's like our lives used in thermometers, is a measure of the national economy, a measure is to understand and grasp the country's economy was an important reference.
这就好像我们的生活中使用的温度计,是衡量国家经济,一个措施是理解和把握国家的经济是一个重要的参考。
- 相关中文对照歌词
- Measure Of A Man
- 推荐网络例句
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The split between the two groups can hardly be papered over.
这两个团体间的分歧难以掩饰。
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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。
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The new PS20 solar power tower collected sunlight through mirrors known as "heliostats" to produce steam that is converted into electricity by a turbine in Sanlucar la Mayor, Spain, Wednesday.
聚光:照片上是建在西班牙桑路卡拉马尤城的一座新型PS20塔式太阳能电站。被称为&日光反射装置&的镜子将太阳光反射到主塔,然后用聚集的热量产生蒸汽进而通过涡轮机转化为电力