维数

Its rule of change was obtained. On the basis of other studies, the flocculation kinetics and flocs structure was studied. By making some assumptions, collision frequency were presented. Then the the flocculation kinetics model was established through population balance equation. Comparison of experimental data and modeling results indicate that there are the same trend between the two. So the model can predict flocs number and size during flocculation of Yellow River's loess particles without using empirical parameters. The TEM and SEM were used to obsever flocs in the study of floc structure. The flocculation was divided as flocculi, floc and floc aggregate. The flocs structure model was established by assumption that particles position in floc accords with tetrahedron. The fractal dimension of model and experimental flocs was found to be coincident. So the model can reflect the structure of flocs formed in flocculation of Yellow River's loess particles by macromolecule flocculant at a certain extent.

最后，本文还对絮凝动力学和絮体结构进行了研究，在前人研究的基础上，针对高分子絮凝黄河泥沙，对絮凝过程作了一些符合试验条件的假设，建立了颗粒碰撞频率表达式，应用了颗粒数量平衡方程，从而建立了絮凝过程的动力学生长模型，模型计算结果与试验数据对比表明，二者趋势一致，在没有使用经验参数的情况下基本上能够描述黄河泥沙絮凝过程中絮体数量和尺寸分布的变化过程；对絮体结构的研究中，应用扫描电子显微镜和透射电子显微镜对絮体进行了观察，将絮体分为絮粒、絮团和絮网三个不同的生长阶段，通过假设颗粒结合位置符合正四面体，建立了絮体结构模型，计算得到的模型絮体分形维数基本与试验中的实际絮体相符，在一定程度上能眵反映高分子絮凝黄河泥沙生成的絮体结构。

Its rule of change was obtained.On the basis of other studies,the flocculation kinetics and floes structure was studied. By making some assumptions, collision frequency were presented.Then the the flocculation kinetics model was established through population balance equation. Comparison of experimental data and modeling results indicate that there are the same trend between the two. So the model can predict floes number and size during flocculation of Yellow River's loess particles without using empirical parameters.The TEM and SEM were used to obsever floes in the study of floe structure.The flocculation was divided as flocculi,floc and floe aggregate.The floes structure model was established by assumption that particles position in floe accords with tetrahedron.The fractal dimension of model and experimental floes was found to be coincidentSo the model can reflect the structure of flocs formed in flocculation of Yellow River's loess particles by macromolecule flocculant at a certain extent

最后，本文还对絮凝动力学和絮体结构进行了研究，在前人研究的基础上，针对高分子絮凝黄河泥沙，对絮凝过程作了一些符合试验条件的假设，建立了颗粒碰撞频率表达式，应用了颗粒数量平衡方程，从而建立了絮凝过程的动力学生长模型，模型计算结果与试验数据对比表明，二者趋势一致，在没有使用经验参数的情况下基本上能够描述黄河泥沙絮凝过程中絮体数量和尺寸分布的变化过程；对絮体结构的研究中，应用扫描电子显微镜和透射电子显微镜对絮体进行了观察，将絮体分为絮粒、絮团和絮网三个不同的生长阶段，通过假设颗粒结合位置符西安建筑科技大学博士学位论文合正四面体，建立了絮体结构模型，计算得到的模型絮体分形维数基本与试验中的实际絮体相符，在一定程度上能够反映高分子絮凝黄河泥沙生成的絮体结构。

The mechanism on how the peptide chain is folded in the spatial protein structure is revealed by the mathematical formalisms, which may provide important implications for the study the biological function of the protein and the analysis of life origin.

本文的研究分三部分：一是考虑分形维数与蛋白质结构层次的关系，在最大流原理的基础之上，对肽链折叠成蛋白质空间结构的机制进行了数理推导，为研究蛋白质的生物功能和揭示生命的起源提供参考。

New insight in examining the utility and the limitation of the method have been provided by using the basic theory of fractals.

1利用分维数的基本理论得到了关于欧拉方法的适用性和局限性的新认识。

There is significant linear correlation between the content of water-stable aggregates and the fractal dimension of soil aggregates.

团聚体含量与团粒结构粒径分布的分形维数D值存在显著的线形相关关系。

The fractal dimension of particle content and sand content in soil showed a significant linear negative correlation, viscosity content was showed a significant positive correlation, at the same time; it is relevant to the soil nitrogen, organic matter, and salt content.

3土壤颗粒含量的分形维数与沙粒含量呈显著的线性负相关关系，与粘粉粒含量呈显著的线性正相关关系，并与土壤N、有机质、盐分含量正相关。

Apllied the data of QuickBird-2——the highest resolution remote sensing,and based on the theory and methodology of fractal geometry,we have quantitatively studied remote sensing lineations in Gaolong gold deposit of Guangxi.

采用Quick Brid-2高分辨率卫星遥感数据，通过分形几何学的盒计维数法，定量研究广西高龙金矿区遥感线性构造。

As the asymmetry a nd a shorted loop of stator winding are caused by a internal fault,the conventio nal transformation can not directly be used.

定子绕组发生故障后，绕组对称性遭到破坏，传统的变换方法难以应用；若按各支路列写方程，则方程维数过高，而且收敛也比较困难。

We proposed to use wavelets and a regularization method to solve the small sample problem.

我们提出了基于小波分析的解决&维数灾难&的正则化方法。

The statistical and fractal feature of fluctuating differential pressure for air water two phase flow in the upward section of U type tube was investigated in the present paper.

该文研究了U形管垂直上升段空气水两相流压差波动过程的统计和分形特征，着重分析了压差波动过程的均值、均方根、分维数随折算气速和液速的变化规律。

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。