查询词典 dimension theory

Firstly, a two-dimension tensor product space is constructed, in which reproducing kernel exists. Secondly a multiresolution analysis is constructed in the reproducing kernel space. Then an orthonormal basis in is obtained. Thus,the reproducing kernel space can be expressed by wavelets spaces. Wavelets approximation formula and sampling formula can also be obtained in the space. Besides, the wavelets approximation formula is simple and easy for calculation. That completes the theory of multiresolution analysis in finite interval fully and provides theoretical base and algorithm for application.

首先，构造二维张量积空间，并证明该空间具有再生核；其次在再生核空间中，建立多尺度分析，获得该空间的一个标准正交基，使得再生核空间可以由小波空间来刻画，进而得到小波级数和相应的采样公式，而且给出的小波级数形式简单易于数值分析，进一步完善了有限区间上的多尺度分析方法，也为实际应用提供了良好的理论基础和算法。

The first step of simulation method is to establish the one-dimension parabolic partial differential advection diffusion equation that was used to describe the mass transportation model of air-pollution distribution as a block program model of the controllable plant. Then, applying the Fuzzy logic theory to operate tunnel jet-fans and control the tunnel wind quantity and adjust the wind average velocity would not let the air-pollution concentration over the standard safety value too much.

模拟方式首先将常被用以表示隧道内空气污染物质传理论模式之一维向平流扩散抛物线型偏微分方程式建构成一组可控制对象的方块程式模拟模型，再运用模糊逻辑理论模拟控制喷流式通风机之运转风量来调节隧道内平均风速以控制隧道内空气污染物浓度不至於高过标准安全值太多。

We prove the con-vergence of this method using potential theory and discuss the approxima-tion of finite dimension space.

利用位势理论证明了该方法的收敛性，并讨论了有限维空间的逼近，为数值计算提供了理论依据。

Keywords Differential coefficient of fractal dimension,fuzzy identify,,,,,reasoning frame,attribute clustering,VC theory,SVM leaming,neurai network,,,,,three layered ANN caPacity,quadratic mapping.

Article From 中国科学院软件研究所；计算机软件与理论博士论文 2001年度分维微分；模糊判别；推理框架；属性聚类； VC理论； SVM学；习；神经网络；三层ANN容量；二次型映射。

In this paper, we study the phase diagram of the deformed t-J model in one dimension in the regime where deformation parameter and J/t are both positively small but comparable to each other by using the bosonization field theory and renormalization group technique.

我们利用重整化群方程对相应的相互作用项的标度维数进行了分析并以此来判断相应的电荷与自旋元激发是否存在能隙。同时我们用准经典势的方法讨论了各种序参量在基态能量中的竞争情况。

The system utilized four laser scanners along lengthwise direction of the log. Data are obtained in every ten degrees when log is turning, in each cross section, 36 data are obtained. Then the data obtained were processed and an outline of the cross section of the log was developed on computer screen. Afterwards, the largest inscribed circles for log cross sections were determined according to the principle that three points can determine a circle. Secondly, the points located on the cross sections were linked up along some log generative in order to simulate the three-dimension log outline. At last the largest right circular cylinder were optimized and the optimum turning center was determined by means of projective theory.

具体作法是：在木段长度方向均匀设置四个激光传感器，当木段旋转时，起动激光传感器，进行数据采集，每隔10~0扫描一个点，在各横断面圆周上共采集36个点的数据，由计算机处理采集的数据，并绘制出原木横断面的几何图形，再根据三点定圆的原理，确定出最大内接圆；其次，模拟原木三维廓形，即将原木相邻横断面上离散点沿着母线方向连线，由计算机分析处理，绘制原木三维廓形；最后，采用投影法，优化出原木最大内接圆柱体，并确定原木回转中心线。

Accepting the aesthetic thought of Kant and Schiller, and Heidegger\'s artistic truth view, Marcuse points out in sensibility and morals, i.e. during people\'s the two poles present," the aesthetic dimension " is occupying the status of centre, as the soul ability of person practicing, imagine strength having function mediated and liberated to perception and reason; Aesthetic form, self-containment and truth are identical, art not merely has a function of ideology, have political latent energy criticized , denied even more, it strives for the individual\'s freedom and happiness; Aestheticsis the people\'s life style, therefore has proposed the theory of "not constraining life style", it make up one\'s mind bad smell look at latitude of "remember" emphatically really.

接受康德和席勒的美学思想，以及海德格尔的艺术真理观，马尔库塞指出在感性和道德性，即人的存在的两极之间，"审美之维"占据着中心地位，作为实践的人的心灵能力，想像力对感性和理性有着调和与解放的功能；审美的形式、自律和真理是一致的，艺术不仅具有意识形态的功能，更具有批判、否定的政治潜能，它争取个体的自由与幸福；美学是人的生存方式，"非压抑性生存方式"理论的确立意味着重视"回忆"的纬度。

In accordance with chaotic essence of speech signals , syllable segmentation in continuous speech is researched by fractal theory . an approach of syllable segmentation using variance fractal dimension is proposed , its performance is analyzed in detail . the method can discriminate between voiced and unvoiced , between surd and sonant , but it can hardly discriminate between sonant

本文根据语音信号的混沌本质，利用分形理论研究了汉语连续语音中的音节分割问题，提出了基于方差分形维数的音节分割方法，并详细分析了该方法的性能，它能很好地解决了无声与有声、浊音与清音间的分割问题，但很难解决浊音间的分割问题，当浊音相连且过渡段较短时，该方法无法实现它们之间的分割。

On the base of these work, the theory and technique which deal with ecological modeling ,two-dimension ecological dynamic model and stochastic eutrophication model was researched thoroughly.

本文获得的主要创新点为：提出了建立能很好拟合复杂边界的二维生态动力学富营养化模型的方法。

On the base of these work, the theory and technique which deal with ecological modeling, two-dimension ecological dynamic model and stochastic eutrophication model was researched thoroughly.

在此基础上，较为深入地研究了富营养化生态模型、二维生态动力学模型、随机富营养化模型和面污染模型所涉及的理论和技术问题。

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。