维数

Through utilization of box counting method, the fractal dimensions of spatial distribution of oil-gas fields are calculated.

应用盒维数方法计算了油气田空间分布的分维值，对不同区块的分维特征进行了比较，探讨了分维值的物理意义。

If count it, nba in serious have severals to want to compare the strong player of the promise 维茨基, I like his reason only is his figure to explain a phrase in that district- stubborn.

如果数一数，nba里正经有几个要比诺维茨基强的球员，我只喜欢他的原因是在那个区域里他的身影诠释着一个词--顽强。

According to the current domestic and overseas study situations, fractals is only used to calculate the correlation dimension and power spectrum dimension of a well-logging in the log interpretation. The rescaled analysis and the multifractal analysis of a well-logging exist in a fewer references as well.

从目前国内外研究现状看，在测井解释中分形一般仅限于测井曲线关联维数和功率谱维数的计算和应用，也有少量文献对测井曲线作R/S 分析和多重分形分析。

Be worth time alignment to undertake photograph space reframes respectively to Chinese energy output and energy consumption actual measurement, beg according to associated dimension method calculate suck dimension of an added ingredient.

对中国能源生产量与能源消费量实测值时间序列分别进行相空间重构，按照关联维数方法求算吸引子维数。

Due to the nonlinear and nonstationary of river water turbidity, a novel intelligent forecasting model based on phase space reconstruction and RBF neural network is proposed. Firstly, the embedding dimension is chosen by using the false nearest neighbor method. And the time delay can be obtained with the mutual information. The phase space is reconstructed from the time series with the embedding dimension and the time delay got. The reconstructed time array is used as the input signal of RBF neural network.

首先将现场取得的数据进行预处理，建立所需时间序列样本；再利用虚假邻域法确定最小嵌入维数，根据互信息法计算确定浊度时间序列的最佳延迟时间；接着根据取得的嵌入维数和延迟时间对江水浊度时间序列数据进行相空间重构；利用重构相空间后的时间阵列，作为建立预报模型所需的浊度样本阵列，用RBF神经网络建立预报模型；利用该模型对江水浊度进行预报。

It is revealed that there is an evident fractal character for urban thermal surface profiles. The fractal dimensions in eight directions are between 1.530 0 and 1.780 6, which reveal the complexity of different thermal profiles. By analyzing the factors to UHI, thermal fractal characters are mainly due to the scope and shape of builtup area and land surface properties.

热场表面剖面线的分维数揭示了3个方面的意义：首先不同的分维数反映热场不同方向上温度变化的复杂程度；其次，相对于城市中心，反映不同方向上城市边界形态的差异性；第三，进一步揭示不同方向上，下垫面土地利用类型空间组合变化的复杂程度。

When the fractal dimensions are different, the oxygen contents of the surfaces after the dropwise condensations are different. And the fractal dimension of the magnesium surface becomes larger.

结果表明冷凝试件的表面形貌特征对初始滴状冷凝有较大影响，其分形维数不同，冷凝后镁表面氧含量也不同，冷凝后镁表面形貌的分形维数变大。

The method is realized via the following steps: first to apply Isomap or LLE to get the embeddings of the original data set in the low dimensional space; then to obtain support vectors, which are the most significant and intrinsic data for the final classification result, by using support vector machine on these low dimensional embedding data; subsequently to get support vectors in the original high dimensional space based on the corresponding labels of the obtained low dimensional support vectors; finally to apply support vector machine again on these high dimensional support vectors to gain the final classification discriminant function.

数据挖掘是数据库知识发现中最重要的步骤之一，其目标是从获取的数据中高效准确地挖掘出我们所需要的信息。在实际应用中，数据往往呈现海量、高维、非线性等特性，这些特性给数据挖掘带来了很多问题，例如海量特性导致的计算效率低下问题、高维特性带来的维数灾难问题和非线性特性引起的线性模型失效问题等。幸运的是，实际中高维数据的属性之间往往存在一定的规律性和相关性，即实际数据经常存在着外在与内在两个维数。

In this paper,we discuss the relation between packing dimension and upper box dimension.

本文研究了填充维数与上盒维数的关系。

Based on the return map and the principle of closed vectors, a new method is proposed to extract unstable periodic orbits embedded in chaotic attractors. As examples, the UPOs embedded in chaotic attractors of Logistic, Hénon and Lorenz are extracted respectively by this method. And our results of Skewed Hénon map also be compared with Nusse's. These results suggest that this method is valid for unstable periodic orbits from period one to period infinite of arbitrary dimension chaotic system. The dynamic considerations of spiking and UPO coding for individual neuron and neural system under external periodic and chaotic exciting stimulus also be studied in this dissertation. A lot of spiking phenomena, such as synchronization, period, and chaos appear alternatively with the changing of the stimulus frequency. For the small stimulus frequency the neuron could completely convey the periodic signal in synchronous anti-phase into interspike intervals sequences. For the slow time–scale chaotic input, the output two ISI sequences are reciprocally related to input signals, and their oscillation wave shape in time course can be derived from that of the input signals variation, furthermore, the similar input sequence and order of UPOs, distribution of LES and value of KYD remain in attractors reconstructed from ISI sequences.

发现周期信号在单个神经元传递过程中，随着激励频率的改变，神经元输出的峰峰间期interspike interval时间序列呈现出周期、混沌和准周期的交错变化，特别当外加激励信号频率较低时，周期信号可以通过神经元ISI序列以反相同步的周期运动形式传递下去；同时无论是周期还是混沌激励信号，在神经系统中的传递均与其自身强度和神经元之间的耦合强度的大小密切相关；快变时间尺度的混沌激励信号在耦合的神经系统传递过程中，会造成大量基本信息的丢失；而慢变时间尺度的混沌激励信号在神经系统传递中，它的非线性特征信息，如混沌吸引子、不稳定周期轨道、Lyapunov指数谱和分形维数，会通过系统输出的ISI序列部分地重现出来，如与输入慢变时间尺度的混沌激励信号相比，神经系统输出的ISI序列具有：相似几何形状的混沌吸引子、相近的Lyapunov指数谱和分形维数、局部结构相同的不稳定周期轨道的排列方式。

What are your goals and strategies for growth?

你的成长目标和策略是什么？

And unto the angel of the church in Sardis write; These things saith he that hath the seven irits of God, and the seven star I know thy works, that thou hast a name that thou livest, and art dead.

3：1 你要写信给撒狄教会的使者，说，那有神的七灵和七星的，说，我知道你的行为，按名你是活的，其实是死的。