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Some methods are discussed to speed up the K-MEANS clustering algorithm with Euclidean and Mahalanobis distance norm.

同时，归纳并整理了一整套基于欧氏距离和马氏距离的K均值快速算法，为了解决传统基于距离函数算法的样本顺序相关问题，提出了针对两类问题的顺序无关聚类算法。

This paper disserts the represent form of space data model, and discusses three dimensional space data model based on the grid, and points out the integrated necessariness and integrated represent method about the grid-vector spatial data model, and provids a Euclidean distance converting model and algorithm with regard to change from vector data to grid data, as well as establishes the foundation for spatial data handing and spatial data mining.

文章论述了空间数据模型的表示形式，重点讨论了基于栅格的三维空间数据模型，指出了栅格矢量空间数据模型集成化的必要性以及集成化表示方法，给出了将矢量数据转换为栅格数据的欧氏距离变换与算法，为基于栅格空间数据的空间数据处理和空间数据挖掘奠定了基础。

As the result of using Euclidean norm metric, the performance of traditional FCM clustering algorithm is subject to the structure of sample patterns in feature space.

一是针对SAR图象，提出了基于混合偏移Rayleigh分布假设的最小误差算法；二是针对低质量图象，提出了基于散射图SEM估计的MAP聚类算法。

A new soft decision metric for QAM is presented in this paper. Unlike traditional soft decision metric based on minimum Euclidean distance, the proposed metric is based on the bit confidences.

传统的软判决度量大多是基于最小欧氏距离准则生成，该文提出一种基于比特置信度快速生成QAM软判决度量的算法，通过将比特置信度引入到QAM软判决度量的计算中来减少计算的复杂性。

Distance-based and density-based clustering algorithms in Euclidean space can be used in this framework.

欧几里德空间内基于距离、基于密度的聚类算法均适用于本框架。

A variable-step modified Euler time integration method is proposed and analyzed. Four major factors that affect the efficiency of the variable-step modified Euler time integration method are discussed. These include stability and accuracy analysis for the damped fix-step modified Euler integration formula, adjustment method of the fix-step basic integration formula to accommodate step-size changes, suitable range of the step-size selection strategy based on truncation error concept and development of the step-size selection strategy based on apparent frequency concept to satisfied the specified error bound and stability condition.

提出了变步长修正Euler时间积分法，详细讨论了影响变步长修正Euler时间积分算法效率的四个主要因素，它们包括：有阻尼问题的修正Euler法的稳定性和精度分析，调整固定步长的基本积分公式使之容纳步长大小变化的研究，基于截断误差概念的步长大小选择策略适用范围的讨论，同时满足规定误差界和稳定性条件的、基于表观频率概念的步长大小选择策略的建立。

The complexity of connectivity search at the worst situation is O, N is the side length of image. The complexity of connectivity ergod is O, N_q is the number of sub-pattern instances.With the connectivity operation of sub-pattern instance, contour extraction, Euler number computing and connected component labeling of binary rectangle NAM image are researched.

以子模式实例的连通关系处理算法为基础，分别研究了基于矩形NAM图像的二值图像轮廓提取、欧拉数计算、连通区域标记等图像运算，给出了具体的算法和分析，并将其与流行的基于其它图像表示的同类相关运算进行了比较。

In particular, since it is epistemically irrational to doubt the hinge propositions in question, the implication of the argument that Wright offers is that we can indeed know the denials of skeptical hypotheses on the basis of our knowledge of everyday propositions even though our belief in the former is not evidentially grounded.

特别的，因为对转轴命题的怀疑是认识上非理性的，Wright提供的论证蕴涵，基于我们对日常命题的知道，我们能够知道对怀疑论假说情况的拒绝（——即使我们的信念不是基于证据的）。

And then, in the foundation of the overseas scholars'study, I study RP and the CRP methods for visualization the dynamics characteristic of the phase space track as well as the complexity degree algorithm of chaos time series——ApEn algorithm. Applying these two methods based on the VB program we analyze separately the data which is obtained from complex financial system model and Lorenz system, and obtain several new recurrence plots and cross recurrence plots. This provides the graph gist of determination complex intrinsic characteristic. The results establish the foundation for exact and further division of chaos time series.

接下来，在国外学者研究的基础上，基于混沌时序形象化相空间轨迹的动力学特征的分别研究了RP和CRP方法以及判定混沌时间序列的复杂度算法的ApEn算法，基于VB程序应用这两种方法分别对Lorenz系统及实际的一类复杂金融系统模型所得到的数据进行了分析，得到了几个较为新的复原图和相干复原图，这对于判定时序数据的复杂内在特性提供了图形上的比对依据，研究结果为混沌时序的准确和进一步分类奠定了基础。

The usual methods such as exclusive or can not be used to encrypt them.

现有的图像加密算法中，有基于空域的，也有基于频域的。

The X-ray diffract was used to analyze the crystal structure of the composite. Results show that after the talc was treated with blend coupling agent, the crystal structure of talc changed, and effect Intercalation phenomenon.

通过X射线衍射分析可知，用混合偶联剂对滑石粉进行预处理后，滑石粉晶体结构发生改变，产生了插层现象，使PP／滑石粉复合材料为纳米复合材料。

An authentic Maui wedding might require the services of a 'kahu', which is a Hawaiian minister.

毛伊可能需要一个真实婚礼服务'kahu'，这是夏威夷部长。