查询词典 prime factorization

This method is an improvement of existing methods to construct nearly order elliptic curves using complex multiplication. To get elliptic curves with nearly prime orders, the time complexity of this method is O , but to get elliptic curves with prime orders, the time complexity arises to O .

该算法是现有利用复乘构造近乎素数阶椭圆曲线方法的改进，利用该算法构造近乎素数阶椭圆曲线的时间复杂性为O，同时，该算法可用于构造素数阶椭圆曲线，但时间复杂性上升为O。

Or for short: A prime number is a natural number with exactly two natural divisors. A natural number that is greater than one and is not a prime is called a composite number.

用通俗的话说，就是大偶数=素数+素数*素数或大偶数=素数+素数（注：组成大偶数的素数不可能是偶素数，只能是奇素数。

Rader's algorithm, exploiting the existence of a generator for the multiplicative group modulo prime N, expresses a DFT of prime size n as a cyclic convolution of size N 1, which can then be computed by a pair of ordinary FFTs via the convolution theorem (although Winograd uses other convolution methods).

Rader演算法提出了利用点数为N的DFT进行长度为N-1的回旋摺积来表示原本的DFT，如此就可利用摺积用一对基本的FFT来计算DFT。

Some quite literally: In 2001, a 30-year-old National Guardsman from Cuyahoga Falls, Ohio, legally changed his name to Optimus Prime."I really latched onto him when I was a kid," Prime said to TV reporters before shipping out to the Middle East in 2003."My dad passed away and I didn't really have anybody around."

有许多这样的真实故事：2001年，一位来自俄亥俄州凯霍加福尔斯市30多岁的国民警卫队士兵，依据法律把自己的名字改成了"擎天柱"。2003年，在乘船前往中东前，"擎天柱"接受电视采访时曾经这样说："当我还是孩子的时候，就非常了解他了"，"我爸爸去世后，我身边确实再也没有其他任何人了。"

In some sense, the conceptions of "Non-prime time" and "Prime time" only describe the relation of linear transmission of TV and TV embracer s non- linear acceptation state.

从一定意义上说，"黄金时段"与"非黄金时段"表述的仅仅是一种关系，即电视的线性延伸与电视受众的非线性接受状态之间的契合程度。

Prime number ; distribution of prime ; divide exacdy ; sifting algorism of Eratosthenes ; algorism ; dynamic sifting algorism ; static sift algorism

素数；素数分布；整除； Eratosthenes筛法；算法；动态筛法；静态筛法

Koblitz curves over a finite field of characteristic 2 and characteristic 3 disassembles k using prime element of simple Euclidean domain.To further improve the efficiency,presents an assumption of disassembling k based on prime element of quadratic Euclidean domain.

特征2和特征3的这类Koblitz曲线是以一次欧式环的素元来分解k，对此设想是否可以二次欧式环的素元为基底来二次分解k从而进一步提高效率。

After the elections,patrick went to the former prime minister's house.when he asked if mr.lane lived there,the policeman on duty told him that since his defeat,the ex-prime minister has gone abroad.

大选结束后，帕特里克来到了前首相的住处。当他询问莱恩先生是否住在那里时，值班的警察告诉他这位前首相落选后出国去了。

After a journey lasting more than seven years, I want to thank the Olympic Family and my family, Presidents Rogge and Samaranch, Prime Minister Costas Karamanlis and ex-Prime Minister Costas Simitis, the people of ATHENS 2004, our wonmagical reality.

在历经七年多的一段征程之后，我想在这里感谢奥林匹克大家庭和我的全家，感谢罗格主席和萨马兰奇主席，感谢总理考司特司卡拉曼林和前总理考司特司史密特司，以及感谢参加2004雅典奥运会的人民，那些杰出的志愿者们和数百万成就这个梦想的希腊人民。

In 2000, F. LUCA proved that Fermat number are anti-sociable numbers, and in 2005, M. H. LE proved all powers of 2 are anti-sociable numbers. We have used the method of M. H. LE to obtain some new results of the anti-sociable numbers. For every integer n containing prime divisors that are 1 mod 4, let p mod 4 be an arbitrary prime divisor of n. There is at least one anti-sociable number in n^2, p^2n^2, p^4n^2, and p^6n^2. Therefore we can prove that anti-sociable numbers have positive density in perfect square numbers. We also give a method to find the exact anti-sociable numbers.

LUCA证明了Fermat数都是孤立数；2005年，乐茂华教授证明了2的方幂都是孤立数，用乐茂华教授的方法给出孤立数的一些新的结果：对于任意含有4w+1型素因子的正整数n，设p为n的任意一个4w+1型素因子，则在n^2，p^2n^2，p^4n^2，p^6n^2里至少有一个是孤立数，因此可以证明孤立数在完全平方数里有正密度，另外也给出求解确定孤立数的方法。

Bob Eckert has been chairman and chief executive of Mattel for eight years.

美泰董事长兼首席执行官鲍勃·埃克尔特在任已8年。

The outlook for honors and disgraces carries on and surpasses the traditional outlook for honors and disgraces theoretically, and carries on and develops the theory of construction of socialist mora...

社会主义荣辱观的提出在理论上是对传统荣辱观的一次继承和超越，是对社会主义道德建设理论的继承和发展，在实践上有利于形成良好的社会风尚。