A proper way is to assign weights to the categories. The weights are determined based on the concept of risk in this paper, that is, the category which has a closer relationship with accident consequence is assigned with greater weight. The relationship is measured by the similarity between their corresponding time series created from historical accident statistical data. The similarity is calculated by Euclidean distance.
较好的方法是对不同类别设置不同权重，文章基于风险概念来设置权重，即对与事故后果关系密切的因素类别赋予较大的权重，管道失效因素类别与事故后果的关系通过历史事故统计数据形成的时间序列相似性程度来确定，时间序列的相似性用欧氏距离来衡量。
Especilly, we prove that any pseudo-umbilical helicoidal surface in Minkowski 3-space is a ￡? -scroll.
其中后两类类时伪全脐曲面的形状算子不能对角化，它们在三维Euclidean空间中没有
Cluster analysis based on Euclidean distance by unweighted pair-group method using arithmetic average clearly separated the 48 germplasms into two groups, namely N. tabacum L. group and N. rustica L. group, and further the N. tabacum L. group was subdivided into four sections.
对AFLP扩增结果采用UPGMA法进行聚类分析，可以将48份烟草种质分为2大类群，即黄花烟草群和普通烟草群，后者又可进一步分为4组；48份材料的欧氏距离为
The volume concept in Euclidean space is reasonably extended to the fractal space, and the rock fractal volume model is described.
将欧氏空间的体积概念在分形空间作适当推广，提出了岩石分形体积模型，并在此基础上推导了岩石分形体积模型的测井响应方程，给出了非均质地层孔隙度的计算方法。
According to the hierarchical cluster analysis based on the Euclidean distance, the nine natural Cyclocarya paliurus populations could be classified into three groups.
利用群体间欧氏距离进行系统聚类分析，青钱柳群体可以划分为三类。
Set in a clear blue monochrome sea inhabited by Euclidean cellular critters and your own slowly evolving Tinker toy paramecium, Flow sucks you in with its sinuously elegant physics and keeps you hooked on the ever so slightly yet increasingly challenging task of gobbling up your fellow sea bugs.
清澈的纯蓝海洋里住着那些几何细胞生物还有你的缓慢进化着的T-toy草履虫。FlOw用婉婉扭动的物理定律把你吸了进去，然后用一点点不断增加的挑战把你牢牢抓住。
In this paper, from the global viewpoint we first define the nonlinear control system on a two dimensional surface in the three dimensional Euclidean space, give the represwentation of the state equation under a loca coordinate sysgtem of the surface, and study the connectin between the equilibrium state of the nonlinear system and the egodesics on the surface.
我们首先从整体化的观点定义了一种建立在三维欧氏空间的二维曲面上的非线性控制系统，并给出了在曲面的局部坐标系下非线性系统状态方程的表达式，研究了非线性系统的平衡态与曲面的测地线之间的关系。
So if for instance, pixel 110, 215, 110 will be closest based on Euclidean Distance to first cluster centroid and pixel 50, 80, 160 will be closest to the second.
因此，如果举例来说，像素110215110将最接近欧氏距离的基础上，以第一组心和像素50，80，160将最接近第二。
It was a little book on Euclidean plane geometry.
那是一本有关欧几里德平面几何的小册子。
I have used Euclidean Distance but you could use any.
我用欧氏距离，但你可以使用任何。
One of the basic tenets of Euclidean geometry is that two figures
欧几里德几何的一个基本原则是平面的两个图形
In the third chapter, we discuss the annealing process on the Euclidean space.
第三章，我们考虑了欧氏空间上的退火过程。
In general, the notion of manifolds embraces both Euclidean and
一般的说，流形的概念包含了欧几里得几何和
The study of space originates with geometry in particular, Euclidean geometry.
空间 这项研究的起源与几何空间-特别是欧几里德几何。
The method applies different influential factors to different segments according to its relative time, and the RPAA based distance is proved to be lower bounding of Euclidean distance, which ensures no false dismissal will occur in the similarity search.
改造PAA表示方法，得到逆向逐段聚集平均(Reversed Piecewise Aggregate Approximation，RPAA)表示方法，对不同的分段引入不同的影响因子，证明了基于RPAA方法的距离下界于Euclidean距离，保证在时间序列相似搜索中不会发生漏查。
Wu, D. B.（1994）. A Study of the Use of the van Hiele Model in the Teaching of Non-Euclidean Geometry to Prospective Elementary School Teachers in Taiwan, the Republic of China.
谭宁君（民82）。儿童的几何观－－从van Hiele几何思考的发展模式谈起。国民教育，33（5、6），12-17。台北市，国立台北师范学院。
In the last part of the paper, we derive the Euclidean equation of motion of the magnetic vector in a theoretical magnetic film consisting of biaxial-anisotropic molecular ferromagnets, which is reduced to the 2+1 dimensional sine...
最后考虑由双轴各向异性分子磁体形成的理想无界膜，在强各向异性极限下，采用半经典近似方法，将磁化矢量的时空运动方程约化为2+1维sine-Gordon场方程，从而得到各类畴结构。我们发现静态周期瞬子正是铁磁膜中的畴壁，用相应的瞬子理论讨论了畴壁的稳定性。
ESPO(Euclidean space Shortest Path with Obstacles) is the generalized issue of Shortest Path issue, which is also the basic key issue in network analysis. It is the basic academic issue in graph theory、S-computational geometry, network design and optimization.
欧氏障碍空间的最短路径问题(ESPO：Euclidean space Shortest Path with Obstacles)问题是网络分析中基础和核心问题一最短路径问题的更广义问题，是图论、S计算几何、网络设计、网络最优化等领域的基本理论问题，其中三维ESPO是NP-难问题，至今无其它有效解。
Finite dimensional euclidean spaces Scalar products, norms, orthonormal basis and orthonormalization.
有限维欧几里德空间标量的产品，规范，标准正交基和正交化。
The paper gives a conjectural model of utility function on Non-Euclidean space, and proves this possibility, as well as a solution to Edgeworth contract curve and indifference function by utilizing the proposed model.
这个定理给从那以后的经济学，带来了极大的困难。①许多人试图否定阿罗的结论，但都没有成功。②我们总结了前人的