维数

Fault diagnosis; chaos theory; correlation dimension; wavelet analysis; virtual instrument; hydraulic pump

故障诊断；混沌理论；关联维数；小波分析；虚拟仪器；液压泵

It contains a 2 dimensional array of fields.

它包含的领域2维数组。

But what if the dimensionality is 1000?

但是，如果维数是1000？

Data set size, dimensionality and sparsity have been identified as aspects that make cluster more difficult.

数据集合的大小，数据的维数和数据的稀疏性都是制约聚类的不同方面。

Chaos optimization algorithm is global search method and it need not to consider SVM dimensionality and complexity.

混沌优化算法是一种全局搜索方法，在选取SVM参数时，不必考虑模型的复杂度和变量维数。

This method can overcome the curse of dimensionality.

此方法能解决"维数灾难"问题。

Fractal dimension is the simple and effective dimensionless index to reveal the complexity of object.

故障的出现增加了信号的复杂性，而分形维数是描述事物复杂性的简单而有效的无量纲指标。

It introduces normal families, including equicontinuity, Arzela's theorem, Montel's and Marty's theorems, Zalcman's lemma; univalent functions, including Koebe's and de Branges' theorems; quasiconformal mappings, including conformal length, extremal length, geometric, analytic and metric definitions, quasiconformal extension, distortion theorem, quasicircle; iteration of rational functions, including fixed points, the Fatou and Julia sets, periodic points, Siegel disks, the Hausdorff measure and dimension, etc.

具体为：正规族，包括等度连续性、Arzela定理、Montel和Marty正规定则、Zalcman引理；单叶函数，包括Koebe定理和de Branges定理；拟共形映照，包括共形模、极值长度、几何、分析和距离定义、拟共形延拓、偏差定理，拟圆周等；有理函数的迭代，包括不动点、Fatou集和Julia集、周期点、Siegel盘、Hausdorff测度和维数，等等。在教学内容上充分体现综合性、前沿性。

The second motivation is the replacement of a Boolean algebra of sets by the distributive lattice of filters of a finite partially ordered set.

一个自然的问题是：能否给出射影空间中放置不同维数的线性族类似的公理体系？

Results showed that fractal dimensions of different disfigurement categories have better distributivity aiming at the mean values and mean square values of nine characteristic quantities,and it was feasible to use feature parameter to describe wood surface disfigurement.

针对这九个特征量的均值和均方差值做了分析，结果表明不同缺陷类别的分形维数有较好的分布性，用这些特征参数描述木材表面缺陷是可行的。

We have no common name for a mime of Sophron or Xenarchus and a Socratic Conversation; and we should still be without one even if the imitation in the two instances were in trimeters or elegiacs or some other kind of verse--though it is the way with people to tack on 'poet' to the name of a metre, and talk of elegiac-poets and epic-poets, thinking that they call them poets not by reason of the imitative nature of their work, but indiscriminately by reason of the metre they write in.

索夫农 、森那库斯和苏格拉底式的对话采用的模仿没有一个公共的名称；三音步诗、挽歌体或其他类型的诗的模仿也没有——人们把&诗人&这一名词和格律名称结合到一起，称之为挽歌体诗人或者史诗诗人，他们被称为诗人，似乎只是因为遵守格律写作，而非他们作品的模仿本质。

The relationship between communicative competence and grammar teaching should be that of the ends and the means.

交际能力和语法的关系应该是目标与途径的关系。