1、

It was this concept that Riemann generalized, thereby opening up new vistas in non-Euclidean geometry.

这个概念嗣后为Riemann所推广, 从而在 非 欧几里德几何学中开辟了新前景.

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2、

These are Regular Triangles in Non-Euclidean plane.

这些都是非欧平面上的正三角形,像不像扇子?

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3、

But none of the mathematicians believed that these basic non-Euclidean geometries would be physically significant.

但数学家们无人相信这些基本的 非 欧几里德几何必然有物理意义.

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4、

Economics is not a straightforward discipline like Newtonian mechanics or Euclidean geometry.

经济学不像牛顿力学或者欧几里德几何,它不是门直观的学科.

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5、

He did not grant independent existence to the non-Euclidean geometries.

他不承认 非 欧几里德几何的独立存在性.

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6、

There are two main types of wormholes: Lorentzian wormholes and Euclidean wormholes.

有二种主要类型的虫孔: 洛伦兹虫孔和欧几里得虫孔.

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7、

The non-Euclidena geometries were in effect subordinated to Euclidean geometry.

非 欧几里德几何实际上是从属于欧几里德几何的.

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8、

Science should always try to use Euclidean geometry and vary the laws of physics where necessary.

科学应该永远试用欧几里德几何学,并在必要处改变物理定律.

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9、

The common conclusion was the uniqueness and necessity of Euclidean geometry.

欧几里德几何的唯一性与必要性已被公认.

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10、

The euclidean norm of an n-vector x with real or complex components is defined as following.

凡具实数分量或复数分量的n - 维向量x的欧氏范数被定义如下.

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11、

All the process of clustering based on the Euclidean distance among data vectors.

聚类过程都是根据数据之间的Euclidean(欧几里得)距离.

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12、

A new RS ( Reed-Solomon ) code decoding algorithm based on the Euclidean Divi-sion is presented.

利用多项式的欧几里得除法给出了RS ( Reed - Solomon ) 码的一种新译码方法.

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13、

Lastly, we extend Erd s-Mordell inequality to n dimensional Euclidean space E ~ n ( n 3 ).

并将Erds-Mordell不等式推广到n维欧氏空间E ( n3 ).

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14、

The essential property and developmental course of Euclidean space, symplectic space and bogus space are studied.

论述欧氏空间 、 辛空间、伪辛空间的本质属性及演变过程.

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15、

The minimum squared Euclidean distance ( MSED ) of 2-ary multi-k continuous-phase frequency-shift keying ( CPFSK ) signal is presented.

本文详细讨论了二进制多h连续相 位移频键控 ( CPFSK ) 信号的最小平方欧几里德距离 ( MSED ),提出了决定MSED的信号隔离度的概念.

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16、

FOM method is a classic method of internal validity, but the method reflected the differences by Euclidean distance within the class, is not suitable for evaluated the clustering results of AECG waveform.

FOM方法是经典的内部评价方法,但该方法反映的是在欧式距离下的类内差异,并不适合对动态心电波形聚类结果进行评价。

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17、

Matrix Solution oif Indefinite Equations of First Degree over Euclidean Ring

欧氏环上一次不定方程组的矩阵解法

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18、

Calculation of Euclidean Distance between Vertices Based on VCC

图像顶点链编码和顶点欧氏距离的计算

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19、

Based on the local features, we calculate the Euclidean distances between the input face image and every face images in the original training database and the calculated distances are acted as the criteria of choosing the reasonable database.

基于提取到的人脸图像特征,我们分别计算输入人脸图像和原始训练库中每幅人脸图像之间的欧式距离,并将其作为挑选新的人脸训练库的标准。

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20、

In analyze the deficiency of traditional intrusion detection system, a new kind of intrusion detection method, which named EDID ( An Intrusion Detection Method Based on Euclidean Distance) is put forward for reduce false positive rate.

在此基础上,将欧氏距离(Euclidean Distance)引入了入侵检测系统以降低入侵检测系统的误报率,并提出了基于Euclidean距离的入侵检测方法Intrusion Detection Based on Euclidean Distance(EDID)。

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