查询词典 one fourth

At its peak, the British Empire stretched over one-fourth of the earth's surface.

在这个国家发展的顶峰时期，地球表面四分之一的面积都是大英帝国的属地。

At its zenith, the British Empire stretched over one-fourth of the earth's surface.

在他的巅峰时代，大不列颠帝国覆盖了地球四分之一的区域。

A circular arc of90=;one fourth of the circumference of a circle.

这些人患病的危险性不到他们的四分之一

You like a mother suffered tribulations, a battle-scarred giant, standing erectly and bravely at the east of the earth, have been leading one fourth of world population to launch an unprecedented social transformation with loud sound and the spring of diligence, which influenced the world and shocked human being.

像一位苦难磨励出的母亲，像一位身经百战的巨人，勇敢地屹立在地球的最东方，用高亢的声音，凭勤劳的精神，带领占世界4分之一的人口，开展一场前所未有的社会大变革，影响世界，震惊人类！

Employees with doctoral, master, engineer or more titles in more than 110 staff, accounting for group one-fourth of the total number, at the same time has set up a dozen experts and scholars in the composition of the External Advisory Board as a group outside the brain; the Group's total registered capital of 50 million; in November 2005 by the Beijing Municipal Committee of Science and Technology identified as high-tech technology enterprises.

员工中具有博士，硕士学位，工程师以上职称的人员一百一十多人，占集团公司总人数四分之一，同时成立了有十余名外聘专家学者组成的顾问委员会作为集团公司的外脑；集团总注册资金5000万；2005年11月被北京市科学技术委员会认定为高新技术企业。

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。

Under the condition of same output and fineness, the price is only one fourth of that of airflow pulverizer.

在产量和细度相同的情况下，其价格仅为气流磨的四分之一。

The Forest Service estimates that up to one-fourth of the forests it supervises have dangerous levels of fuel.

据森林管理局估计，大约四分之一的森林化石燃料的含量都处于危险的水平。

One fourth of a British hundredweight; 28 pounds.

四分之一英国重量单位；二十八磅

Only one-fourth of the time did it lead to a drop of more than 10%.

只有四分之一的时候，股市5%的跌幅会导致下跌超过10%。

I didn't watch TV last night, because it .

昨晚我没有看电视，因为电视机坏了。

Since this year, in a lot of villages of Beijing, TV of elevator liquid crystal was removed.

今年以来，在北京的很多小区里，电梯液晶电视被撤了下来。