维数

To simulate random terrain, we want to extrapolate this algorithm into 3D space, and to do

为了达到这个目的，我们需要一个表征高度的二维数组。

Non-negative matrix factorization is a newly popular method for non-negative dimensionality reduction, feature extraction, data mining, etc.

摘要非负矩阵分解(Non-negative matrix factorization， NMF)是一个近年来非常流行的非负数据处理方法，它常用于维数约减、特征提取和数据挖掘等。

The fractal dimension of faulting surface of Kuqa area was studied with roughness measurement method.

利用粗糙度测量方法对库车地区断层表面的分形维数进行了研究。

The stratigraphic completeness was figured out, which improved the resolution of recognition of sequences; the fractal dimensions of log curves change abnormally at SBs and fs, being a good parameter in high-resolution sequence stratigraphic analysis and explanation of the complexity of geological background; the fixed vector and the transfer step of the probability matrix can be used in describing quantitatively the randomicity law of the evolution of stratigraphic accumulation, being helpful in analysis of sedimentary series.

测井序列的小波变换不仅可以直观方便地识别层序、准层序界面，而且，与FFT相结合进一步识别出其中的米氏旋回层，并计算出层段地层完整性，大大提高了层序识别分辨率；测井曲线的分形维数在测井层序界面及海泛面处有异常反映，是高分辨层序分析及地质背景复杂性解释的有效参数；固定向量和状态矩阵转移步数可定量描述沉积序列演化的随机规律性，是地层序列分析的辅助手段。

Nano-agglomerate fluidization technology can be applied not only to fluidize nano-particles, but also to fluidize other dimensional nano-powders.

纳米聚团流态化利用粉体团聚特性使得流态化技术不但可以应用于纳米颗粒体系，而且完全可以推广应用于其它维数的纳米粉体。

The major breakthrough from a physically point of view occurred in 1985 when Halsey et al. introduced the function f . In 1995, Olsen gave a strict mathematical Multifractal Formulism. Meanwhile, Cawley, Mauldin, Arbeiter and Patzschke et cetera published articles on these topics.

之后，Frish和Benz等人将此概念推广到动力系统中吸引子的分形结构。1985年，Halsey等人从物理和直观的意义上作了突破性的工作，在测度的谱和集合的分形维数之间建立了联系。1995年，Olsen提出了严格的重分形形式体系的数学框架。

It is based on the relationship between fractal dimension and porosity.

同时研究了分形维数和孔隙率对模型参数的影响。

Three methods for calculation of fractal dimension are discussed in this paper.

本文用 3种方法来计算选定图像的分形维数。

One difficulty of study is to estimate traffic fractal dimension.

其中流量的分形维数的求解问题是相关研究中的一大难点。

Fractal and fractal dimension theories applied on catalysts were introduced in this paper.

介绍了分形和分形维数在催化剂研究中的应用。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。