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Based on the new theories developed in biology,the basic theoreticalproblems of the genetic algorithm,which are the representation scheme,co-nvergence and convergence rates of the genetic algorithms,etc.,are discussedwith Boolean algebra,group theory,martingale theory and axiomatic method inthe framework of the Markov chain.

本文以生物学发展的新理论为背景,在遗传算法的Markov链框架下运用Boole代数、群、鞅及公理化方法研究遗传算法的表示、收敛性与收敛速度等基本理论问题。

The daughter getting farther away in the Greyhound Is beyond where I can imagine. Interior running lights of phosphor-green Show a faint shape of her head, reflected on the glass, Against the Dakota night. I try to resolve the picture, but the Badland darkness Empties her silhouette. If she had to leave, it should have been in a perfect vehicle, But she rides that dirigible of the road, Dispatched by a breakdown scab corporation Into a triangle my wavelength will not reach. The sealed-off revolutions of engines Are faster propelling souls at night-time Than my sorting of memories Can fix a negative under ruby light. Yet right here I have a template that strained for her form Among a crowd of children at the schoolyard gate.

长途车上的女儿越来越远地驶出了我想象的范围仪表盘上绿色的微光和玻璃另一面达科达州的夜色拖显出她模糊的头型我想拉近她的形象但荒原的黑暗吞噬了轮廓里面的所有细节既然要走就该有更好的载体来迎接她的献出但破落的黄牛公司所派出那辆路上的飞艇把她载到我频道无法达到的三角区域这马达无情转动的悲凉在夜间输送灵魂时用更快的速度超越我对记忆的显影我用由她配制出来的烙印呼唤就像曾经在那群涌出校园门口的孩子中间我怎能不去努力搜索她所踏入的陌生区域的电波?

A star precipitated with great apparent velocity across the firmament from Vega in the Lyre above the zenith beyond the stargroup of the Tress of Berenice towards the zodiacal sign of Leo.

380一颗星星从天顶上天琴座"织女一"越过后发星座的星群,明显地以高速度朝着黄道十二宫的狮子宫直冲过去。

A new particle swarm optimization, PSO with bounded mutation operator, was developed. In contrast to the original PSO, in this algorithm, PSO with bounded mutation operator would make the particles redistributed cquably close to boundary when place of particle exceeds feasible region during iteration.

提出了一种新的粒子群优化算法——带边界变异的PSO,其原理是:在迭代的过程中,当粒子的位置超出可行域时,带边界变异的PSO让粒子的位置重新均匀分布在边界附近;当粒子的速度超出可行域时,则使其均匀分布到整个可行区间,而不是像原始PS0那样在这2种情况下都只是简单地取边界值。

His team has found a group of galaxy clusters moving at an extraordinary speed towards a small patch of sky between the constellations of Centaurus and Vela.

他的研究小组已经发现一组星系群竟以惊人的速度朝向半人马星座和船帆星座之间的那片天空。

Astronomers made observations of Cepheid variable stars— pulsating stars used to measure vast distances— in the Virgo and other clusters to establish the expansion rate and the universe's age.

天文学家用哈勃观测到仙女星座和其它星群中的造父变星以确定宇宙的膨胀速度和宇宙的年龄。

Astronomers made observations of Cepheid variable stars —pulsating stars used to measure vast distances—in the Virgo and other clusters to establish the expansion rate and the universe's age.

天文学家用哈勃观测到仙女星座和其它星群中的造父变星,以确定宇宙的膨胀速度和宇宙的年龄。

Astronomers made observations of Cepheid variable stars —pulsating stars used to meas

地理学家用哈勃瞧测到仙女星座和其它星群中的造父变星,以确定宇宙的收缩速度和宇宙的年龄。

Astronomers made observations of Cepheid variable stars —pulsating stars used to measure vast distances—in the Virgo and other clusters to establish the expansion rate and the universes age.

天文学家用哈勃观测到仙女星座和其它星群中的造父变星,以确定宇宙的膨胀速度和宇宙的年龄。

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。

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However, as the name(read-only memory)implies, CD disks cannot be written onorchanged in any way.

然而,正如其名字所指出的那样,CD盘不能写,也不能用任何方式改变其内容。

Galvanizes steel pallet is mainly export which suits standard packing of European Union, the North America. galvanizes steel pallet is suitable to heavy rack. Pallet surface can design plate type, corrugated and the gap form, satisfies the different requirements.

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