查询词典 dimension theory

Fractional integral is an essential branch of fractal theory. In this paper, the authors adopted fractional integral in the evaluation of time series dimension, which has a higher accuracy than other methods such as box dimension, gauge method and so on.

分数阶积分是分形理论的一个重要分支，应用分数阶积分进行时间序列维数估计，其精度比box维数、量规法等方法高。

The method includes the following steps: firstly, a spherical neighborhood of present sample points is established by using the geometric spherical-modelling theory and all the sample points contained in the spherical neighborhood are adopted as candidate neighbor points, thus not only preserving the effectivity of the dimension reduction capability when data sets are sparse but also getting the advantages of low-sensitivity to isolated points and good stability of the preserved topological structure; then a data relevance matrix more matching semantics can be obtained by relevance measurement based on route clusters to update the candidate neighbor points in the spherical neighborhood and optimize the regular neighborhood space of the present sample points, thus improving the phenomenon that the dimension reduction of sample sets provided with folded curved faces is apt to suffer the integrated-structure distortion in case of heterogeneous data distribution.

首先利用几何开球原理建立当前样本点的球状邻域，将包含在球状邻域内的所有样本点作为候选近邻点，不但能够保持在数据集稀疏情况下的降维性能的有效性，而且具有对孤立点敏感性不高、保留拓扑结构稳定性好的优点。然后利用基于路径聚类的相关性度量得到更符合语义的数据相关性矩阵，用来对球状邻域内的候选近邻点进行更新，优化当前样本点的规则邻域空间，改善了当数据不均匀分布时在带有折叠弯曲面的样本集上降维容易出现整体结构扭曲的现象。

Last, this paper introduced some concepts of multiscale geometrical analysis and curvelet transform theory. Because curvelet can showed this feature more 'sparsely' in the function included singular curve or singular side in two dimension space or multi-dimension space. This paper provided a robust digital watermarking technology algorithm based on curvelet transform. watermarking information was embedded into coarse scale coefficients after curvelet transforming, choose right embedding strength. Testing proved it has good invisibility and robustness.

最后，介绍了多尺度几何分析和曲波变换理论的相关概念，鉴于曲波能对二维乃至高维空间中含奇异曲线或者曲面的函数进行更"稀疏"地表示这一特性，本章提出了一种基于Curvelet变换的鲁棒数字图像水印算法，该算法将水印信息嵌入到经曲波变换后的图像的粗尺度系数中，合理选择的嵌入强度，试验表明该算法具有较好的隐蔽性和鲁棒性。

It emphasizes that only by going from the theory of social individual's growing-up, which is constructed by this essay's author himself, integrating organically the diachronical dimension with synchronical dimension related to the studies of translation, and so dealing with the relationships among translational artistry, translational ideal, and translational criteria appropriately, can we recognize the criteria of translation and their courses of growing-up properly, and so do enhance our levels of translation studies gradually through locating the role of these criteria of translation rightly.

显然，这是一个有待进一步证明的命题，而且在这里不行能举行这样的证明，只能有待于未来的机遇；但我们仍然可以说，今世西方语言学领域的、为国内语言学研究界所珍视和引用的绝大多数理论，基础上都以这种哲学传统态度和要领论视角为基础，而不是议决扬弃它们而举行崭新的研究才得出其结论的。

In addition, this paper points out that Marx's theory of alienation has two dimensions: one of them is moral, the other historical, and that previous researches focused on the moral dimension of alienation, looking down upon its historical dimension Marx makes high assessment.

此外，本文也指出，马克思的异化理论有两个维度--道德维度和历史维度，以往的研究普遍地拘执于道德维度，从而遮蔽了马克思对"普遍异化"的历史意义的肯定。

In addition,this paper points out that Marx's theory of alienation has two dimensions:one is moral,the other historical,and that previous researches focused on the moral dimension of alienation,looking down upon its historical dimension Marx makes high assessment.

此外，本文也指出，马克思的异化理论有两个维度——道德维度和历史维度，以往的研究普遍地拘执于道德维度，从而遮蔽了马克思对"普遍异化"的历史意义的肯定。

Based on the theory of dimensions chain, with an illustration of machining, the process of establishing, searching and resolving of process dimension formula equation is analyzed in detailed; And then leading-in the basic dimension matrix equation and tolerance matrix equation, a program in Matlab language is made.

王战中，王为杰，韩彦军，程林章，李辉，基于矩阵的工艺尺寸链分析与解算文章基于尺寸链原理，借助一个机械加工实例，详细分析了工艺尺寸式方程的建立、查找及解算过程；并在此基础上引入基本尺寸矩阵方程和公差矩阵方程，采用Matlab语言编写计算机程序。

The partial least-squares regression model is built up to forecast crop leaf water potential of estival maize.Thirdly, atmosphere aspect, the low water age has been forecasting by R/S method of fractal theory in Si Chuan middle region. The chaotic behavior of agriculture meteorologic factors (average temperature, max temperature, min temperature, temperature of the earths surface, evaporators, precipitation, relative humidity, sunlight time) time series is investigated using the phase-space reconstruction technique, and the delay time and relation dimension and min embedding dimension and Lyapunov exponent and Kolmogrov entropy is calculated. The atmosphere water potential is calculated by surveyed data, and the day change law of atmosphere water potential and the relation between it and sun radiation has been discussed.

第三，关于大气方面，利用分形理论中R/S分析法对川中丘陵区的枯水年进行了预测；利用混沌理论的重构相空间技术，确定了农业气象因子(旬平均气温、最高气温、最低气温、地表温度、蒸发量、降水量、相对湿度、日照时数)的延时、关联维数、最小嵌入维数、Lyapunov指数、Kolmogrov熵，从而证明了以上各农业气象因子的时间序列具有混沌特性，为利用混沌理论预测各气象因子提供了科学依据；利用田间自动气象站的数据计算了大气水势并探讨了大气水势的日变化规律以及大气水势与太阳辐射的关系。

It is by integrating certainty and occasionality as well as occasionality and subjectity on the basis of its theory of individual social practice that Materialist conception of history unites the dimension of object and the dimension of subject in individual existence and historical conditions.

掌握偶然性的价值观内涵的人学意义在于，唯物史观正是以个人社会实践观为基础，结合了必然性与偶然性、偶然性与主体性两个认识个人的视角，才把个人存在及历史作用的客体向度与主体向度统一起来。

This paper discusses the conception on the graph-theory technique and how to de- termine the technologic dimension chain ,and summarize the methods,stepts and points for attention of determining technologic dimension chain with examples.

本文介绍了应用图论的基本知识如何确定工艺过程中的尺寸链，并通过实例总结了确定工艺尺寸链的具体方法、步骤和注意事项。

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。