The logical basis for the theory of the integers that euclid presented in books vii to ix of the "elements" was woefully deficient .
欧几里德在《原本》的第七到第九册中提出的整数理论的逻辑基础是十分令人遗憾地有缺陷的。
Euclid was trying to convey his idea of a geometrical point.
欧几里德正试图表达他的一个几何学观点。
Here’s Looking at Euclid: A Surprising Excursion Through the Astonishing World of Math.
<看看欧几里德:穿过奇妙数学世界的惊奇之行>.
He engaged in feverish bouts of self-improvement, studying Euclid and grammar at all hours.
他沉迷于自我完善，整日整夜地研究欧几里德和语法学。
When we think of ancient mathematics, the first names that come to mind are Pythagoras and Euclid.
当考虑到古代的数学时，我们往往首先想到的是毕达哥拉斯和欧几里德。
At last, the target was recognized according to Euclid distance of moment invariants.
最后根据不变矩特征的欧氏距离识别出目标。
Expand Euclid for inverse element in the template has been turned into a long long type.
拓展欧几里德用于求逆元，在本模板中已经把类型改成了long long。
The adjoint transformation is a generalized one of the symmetry transformation in Euclid space.
文章主要讨论了线性变换与其伴随变换的关系及伴随变换的相关性质。
In this article we discuss some questions with respect to number theory in the works of Euclid and diophantus.
在本文中，我们讨论了欧几里得和丢番图著作中与数论有关的某些问题。
In JUNE 76-year-old Dorothy Richardson of Euclid, Ohio, a suburb of Cleveland, discovered a fawn nestled in her garden.
76岁的陶乐希·理查德森(Dorothy Richardson)家住俄亥俄州克利夫兰城郊的欧几里得镇。
Basing on the concept of Euclid distance space, this paper introduces an evaluation technique of barrage jamming effect on SAR.
从欧几里德距离空间的概念出发，提出了一种对SAR压制干扰效果的评估方法。
Depending only on formal thinking, Euclid formed system through figure proof, firstly applied the fifth postulate in the 29th proposition.
欧几里德仅仅依靠形式思维，通过图形佐证形成体系，在第29个命题中首先运用第五公设。
The works of Euclid, Aristotle and Averroes were translated into Latin and intensively studied at the new universities in Oxford and Paris.
欧几里德，亚里士多德和阿威罗伊的作品都被翻译成拉丁文，在牛津和巴黎的新型大学里取得了深入的研究。
For those of you not up on your math trivia, the concept goes back to before Euclid (who did one of the early proofs deriving perfect Numbers).
对于不熟悉数学知识的人，此概念可追溯到Euclid之前(他完成了导出完全数的早期验证之一)。
As for the mismatch during fault diagnosis because of lack of important information, rule match method combined Euclid distance and grey theory is used.
对于在诊断中缺少重要属性的情况，引入欧式距离和灰色理论相结合的规则匹配方法。
The performance of network is studied, and its parameters are optimized. Euclid distance discriminance is developed to recognize mixed abnormal patterns.
文中研究了网络的基本性能并对其参数进行优化，提出了采用欧氏距离判别法作为混合型多特征异常模式的识别方法。
Euclid distance metric was adopted in the Traditional TOPSIS, it leads to the problem that the compensatory relationships between each properties are fixed.
传统TOPS IS方法采用固定的欧氏距离作为距离度量，各属性间的补偿关系固定。
Euclid geometry can be regarded as an abstraction of nature. Comparing to Euclid geometry's simpleness, Fractal geometry reflects natural contexture more veritably.
欧几里德几何是对自然的高度抽象，分形几何则更为真实地反映了自然的形式结构。
You have attempted to tinge it with romanticism, which produces much the same effect as if you worked a love-story or an elopement into the fifth proposition of Euclid.
你给它渲染了一层浪漫主义色彩，简直就像是给欧几里得第五定理掺进了恋爱故事或私奔情节。
Based on the fuzzy matter-element theory, with the concept of the Euclid approach degree, compound fuzzy matter-element for construction scheme evaluation is established.
在模糊物元理论的基础上，结合欧氏贴近度的概念，建立了建设项目方案评价的欧氏贴近度复合模糊物元模型。
Average the Euclid distances of all the range blocks in the retrieval image, then the images whose average Euclid distances are smaller are selected as the retrieval images.
将待检索图像所有值域块的欧氏距离求平均，此平均欧氏距离较小的几幅图像即为检索出的图像。
On the basis of the fuzzy set theory and the concept of Euclid approach degree, a fuzzy matter-element model for assessment of regional eco-environmental quality is established.
基于生态环境质量概念的模糊性和评价指标的不相容性，在模糊物元分析的基础上，结合模糊集理论和欧氏贴近度概念，建立了区域生态环境评价的模糊物元模型。
Mathematical laws are universal and have remained unchanged since the beginning of time. Euclid, Euler and all the others discovered and put into words things that were already there.
数学法则，从古至今，放之四海而皆准，亘古不变。欧几里德、欧拉，以及其他数学家们，只不过是发现了这些规律，加以文字表述而已。
On the basis of generalizing the fractal theory, Euclid geometry mould and the discentral barrel finishing, L-System and the fractal characteristics of the grinder movement is analyzed.
在概括性地阐述分形理论、欧氏几何造型方法及离心式滚磨光整加工方法的基础上，重点分析了L系统分形造型方法和离心式滚磨加工过程中磨块运动的分形特性。
This paper consists of two methods, one is comprehensive evaluation model of matter element and extension, and the other is fuzzy matter-element analysis based on Euclid approach degree.
将物元可拓综合评价模型和基于欧氏贴近度的模糊物元模型引入水闸评价上来。
Pythagoras, who is remembered for his theorem about the sides of a right-angled triangle, lived around 540 BC, while Euclid, the best known geometer of the ancient world, lived around 300 BC.
生活在公元前540年左右的毕达哥拉斯，便提出了闻名于世的关于直角三角形各边的 勾股定理 。古代最知名的几何学家欧几里得生活在公元前300年左右。
Pythagoras, who is remembered for his theorem about the sides of a right-angled triangle, lived around 540 BC, while Euclid, the best known geometer of the ancient world, lived around 300 BC.
生活在公元前540年左右的毕达哥拉斯，便提出了闻名于世的关于直角三角形各边的 勾股定理 。古代最知名的几何学家欧几里得生活在公元前300年左右。
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