查询词典 algorithm of euclid

Euclid was a Greek geometer of the 3d century b.c., famous for his treatise on geometry.

Euclid是一位三世纪的希腊几何学家，以他的几何学论述而出名。

The eminent Greek geometer Euclid's achievement still stands.

著名希腊几何学家欧几里德的成就至今仍旧有用。

For example, Babylonian influence is pervasive throughout the Bible and in the works of such Greek poets as Homer and Hesiod, in the geometry of the Greek mathematician Euclid, in astronomy, in astrology, and in heraldry.

例如，巴比伦普遍深入的影响贯穿在整部圣经中，在荷马和赫西奥德（公元前8世纪，希腊诗人）那样的希腊诗人的作品中，在希腊数学家欧几里德的几何学中，在天文学，在占星术，以及在纹章学中。

A deep research into it by Eudoxus later,Euclid gave an integral geometry solution to it and proved it in his famous monograph Elements.

之后，欧多克索斯进一步深入研究，欧几里得在他的名著《几何原本》中给出黄金分割的完整几何解与证明。

The author mainly realized the method of generating the large random numbers and judging the prime number using Lehmann means,then three pairs of secure key with different lengths (256 bits,512 bits,1024 bits) was generated to meet the demand of different security grade. In encryption module,modular multiplication arithmetic of large number was realized adopting addition chaining. In decryption module,extended Euclid was used to get inverse,and the Chinese remainder theorem was used to realize decryption,which increased the speed of decryption greatly.

作者主要实现了大随机数的生成、采用整除小素数和勒曼测试法判定素数，可以生成三种不同长度的密钥对(256位、512位、1024位)来满足不同的加密安全等级的需求；加密模块中，选用了二进制序列的乘法方法，实现了大数模幂乘运算；解密模块中，引用了扩展的欧几里德法求逆元，并采用中国剩余定理实现解密过程，大大提高了解密速度。

By applying elementary transformation,this paper obtains a new method to search for a normal orthogonal basis in Euclid space, it also gives a procedure by which the fewer third elementary transformations are enough to realize this method.

导出用初等变换法求Euclid空间的标准正交基的方法，并进一步获得了只需进行较少次数的第三种类型的初等变换就能实现这一方法的结果。

There were many champions of synthetic geometry , Euclid-style development of projective geometry, in the nineteenth century, Jakob Steiner being a particularly brilliant figure.

该模型的欧几里得的要素，发展的几何连接作为一个不言自明的制度，是在紧张与笛卡尔的减少几何代数通过坐标系统。

The melancholy of it! As if old Euclid had stood up on his hind legs and swallowed prussic acid.

它演奏的调子是那么悲哀，似乎老欧几里得用后腿站着吞下了氢氰酸。

Understand Euclid's proof of the Pythagorean Theorem.

理解欧几里得对毕德哥拉斯定理的证明。

A hybrid model of short-term load forecasting based on chaotic theory, correlation and neural networks is presented in this paper. Firstly, reconstruct attractors in phase spaces using chaotic theory, Secondly fit the attractor's evolvement using BP neural networks, because selecting neural network's input training data using Euclid distance and correlation, improve neural network's associative memory and ratiocinative ability, can better fit the attractor's evolvement.

提出一种将混沌理论、关联度和神经网络相结合的短期负荷预测模型，首先利用混沌理论重构负荷时间序列的相空间吸引子，然后用BP 神经网络来拟合空间吸引子的演化，由于使用空间欧氏距离和关联度联合来选取神经网络的训练样本，这样就提高了神经网络对负荷序列混沌特性的联想和泛化推理能力，能够更好的拟合吸引子的演化。

For the head-teacher of the class said that I had seriously broken the school rules,which led me to a three-day suspend class.

为什么呢？因为我的班主任说我严重的违反了校规，于是让我停课三天。

Many of them believe that the conversion of thousands of working-class folk in England spared that nation from the mass carnage and the tyranny that came with the revolution in France.

他们之中有许多人相信，在英国数以千计的劳工阶级之悔改信主使英国免於遭受如法国大革命所造成的大屠杀和专制暴政。