查询词典 ring of numbers

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。

Features - FSK and DTMF dual mode CLIP (Calling Line Identification Presentation)- Stores up to 50 calling numbers, up to 20 digits for each number*- Stores up to 3 last dialed numbers, up to 24 digits for each number*- Stores up to 50 PSTN Phone Book numbers, up to 12 characters for each name and 24 digits for each number (while the LCD displays the maximum of 12 digits)*- LCD displays calling and dialing number - Barring numbers setting (up to 5 numbers)*- Key lock setting - Hot call setting*- Call transfer of external calls*- Internal calls*- Three-way Conference Call*- Various ring melody (up to 9 for option)- Ring volume adjusting (up to 9 levels)- Handset earpiece volume setting (up to 9 levels)- Microphone mute - Delete single or all records in PSTN Phone Book*- Redialing and preparation dialing functions - Paging function to locate the handset easily from base station - Clicking key tone on or off - Supports GAP function - Speakerphon

特点－FSK和DTMF双模的CLIP－能存储多达50组来电，每组来电能够存储20个数字*－能够存储最近的3个已拨电话号码，每个号码能够存储24个数字*－能够存储50个PSTN电话簿号码，每个名字有12个字符，每个号码有24个数字（而LCD最多只能显示12个数字）*－LCD来电显示和去电号码－不包括号码设置（5个号码）*－键盘锁设置－热键设置*－外部来电转接*－内部呼叫*－三方电话会议*－多种铃声（一共有9种可供选择）－音量调节（一共有9个级别）－话机听筒音量设置（一共有9个级别）－静音－在PSTN电话簿内删除单个或者全部记录*－回拨和准备拨号功能－寻呼功能能够简单的从话机座定位话筒－开启或关闭滴答声－支持GAP功能－免提

Users can set up the service to ring certain numbers at certain times of the day or to go through a series of numbers in order to contact them.

用户可以设置服务的环某些电话号码在某些时候的一天或经过了一系列的数字，以便与他们联系。

The results indicate that the polarizabilities of total and л electrons in crease with the increasing of the ring numbers, but the increasing rate reduces gradually.

结果表明：全价电子极化率和л电子极化率均随并苯数目的增加而增大，但增率逐渐降低，当n值足够大时，增率趋于一常数；极化率沿分子链增长方向的增率远远大于其它方向；л电子极化率的增率高于全价电子。

For insuring the safety of Olympians and the foreign visitors, according to , motor vehicles are not allowed to drive across the Guest Bridge next to the International Airport, the Airport Expressway and the southern side of the 3rd Ring Road. Odd numbers of cars can drive on the main street on Monday, Wednesday, Friday and Sunday, and even numbers run on Tuesday, Thursday and Saturday.

为确保奥运会的安全进行和外宾的顺利出行，根据《中华人民共和国道路交通安全法》及《中华人民共和国道路交通安全法实施条例》的有关规定，由首都机场新专机楼经迎宾桥、首都机场高速公路、三元桥至东直门北桥顺行方向最内侧两条机动车道禁止一切机动车辆通行，长安街通行车辆也将进行单、双号限量管制。

The result showed that the plant of Maicao No. 9 was tall, with good fecundity, fully filled grain and vigorous growth. The chromosome number of the root cells was 2n=56, through the observation of pollen mother cells meiosis, there were a certain amount of univalents, ring bivalents and bar bivalents in PMCM. Different numbers of lagging chromosomes, chromosome bridges and micronucleus were found in anaphaseⅠ, anaphaseⅡ and tetraspore.

结果表明：麦草9号植株高大，结实性较好，籽粒饱满，生长旺盛；根尖细胞染色体数目为2n=56，对其进行花粉母细胞减数分裂观察，中期Ⅰ具有一定数量的单价体、环状二价体、棒状二价体；后期Ⅰ、后期Ⅱ与四分体时期都出现不同数量的落后染色体、染色体桥、微核等现象。

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。

Pointing to the table of the various periods of Xi'an maps, Liu Xinhua, said:"You see, this is a map of the last century 80's, Xi'an city has 'freed' wall bound, from a ring expansion to a second ring; the last century, 90s onwards, Xi'an, increased road and bridge, the Second Ring, Ring Ring Two, widening urban transport framework; the last 10 years, and gradually shaping of radiation from a new 'big Xian' metropolitan area, a new landmark in Xi'an in large numbers."

指着摆在桌上的各个时期的西安地图，刘新华介绍说：&你看，这是上世纪80年代的地图，西安城已'挣脱'城墙束缚，从一环扩张到了二环；上世纪90年代起，西安路桥增多，二环、三环两大环线，城市交通骨架日益拉大；最近10年，逐步辐射塑造起全新的'大西安'都市圈，使西安新地标大量涌现。&

Wikipedia defines a matrix as "a rectangular table of numbers or, more generally, of elements of a ring-like algebraic structure."

Wikipedia把一个矩阵定义为&一个矩形阵列，由数组成，或更一般的，由某「环」中元素组成&。

The yield of neutral oil stocks (300℃~500℃) is 42.33%, the latent content of lube is about 90%, and they have the characteristics of low residue carbon, low sulfur content, light-colored, low acid number and less total and aromatic ring numbers.

中性油原料收率为42.33%，其中润滑油潜含量均在90%左右，且残炭值及硫含量不高，颜色浅、酸值小，结构族组成中总环数与芳香环数较小；光亮油原料收率为16.38%，其凝点较高，粘度较小，结构族组成中的烷基碳率较高。

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。