维数理论

In this paper, we summarize the foundations of Algebraic function fields, algebraic curves over finite fields and algebraic geometry codes, then we focus on the dimensions of codes on the quotient of the hermitian curves, by using the theory of weierstrass semigroup and the idea of Ho...

我们在系统地总结了代数函数域，有限域上的代数曲线和代数几何码的基本知识的基础上，利用Weierstrass子半群理论，使用Homma和Kim的方法，讨论了Hermite曲线商域上码的维数问题，得到的主要结果如下： 1。

Aiming at the chaos complexity activities which may occur during the evolution process of mining area ecosystem, we emphatically analyze the application of associated dimention judgment method and Lyapunov factor analytic approach based on phase space restructuring technique. We can ascertain whether mining area ecosystem have chaos characteristic or not according to these methods. It has important theory value for complexity research of mining area ecosystem.

其次，针对矿区生态系统演变过程中可能出现的混沌复杂行为，基于相空间重构技术我们重点分析了关联维数判断法和Lyapunov指数分析法的应用，依据这些方法，我们可以定量的判断矿区生态系统是否具有混沌特性，这对于我们进行矿区生态系统的复杂性研究具有重要的理论价值。

It is found that with time elapsing and economical development, changes in the indexes become complicated and anomalistic.

运用分形理论计算得到了各种景观的分维数，以此为依据探讨了各种景观形态的复杂性。

The results show that the estimated correlation dimension can be taken as the characteristic parameter to define what state the motion of the system is in,and further the results can be used for trend monitoring in different failure situations of the system.

理论分析和计算结果表明，所估计的相关维数在不同状态下有着显著的差别，可以对碰摩转子系统不同的状态进行分类，对碰摩转子运动特性的研究提供了一种新的方法。

On the basis of the fractal theory, general form and calculation method of the fractal characteristic are given, that is the calculation model of non-close fractal curve length and closed area, and box counting dimension algorithm.

基于分形理论，给出了分形特征的一般形式及其计算方法———非闭合分形曲线长度与围成面积的估算模型和盒维数的算法。

In SVRT model polyatomic molecule whose spacial locomotion can be accurately treated as a regular non-symmetry rotor is dealt with as two different rigid segments which both can vibrate one-dimensionly through the line of their centroid.

因此，探索和发展多原子分子化学反应的理论模型和计算方法是非常有必要的，为此，人们提出了一些处理多原子体系反应的理论模型和约化维数的计算方法。

In this paper,a method to determine the fractal dimension of pore-solid interface in porous solid materials by the small angle X-ray scattering is introduced.This method is also used to determine the fractal structure of fly ash-cement pastes.

简要介绍了用X 射线小角散射分析技术测定多孔固体材料中气孔固体界面分形维数的理论，并将这一理论用于测定粉煤灰水泥浆体的分形结构。

On the basis of chaos theory, phase space reconstruction and embedding theory, time series of dissolved oxygen of the Lianshui River are analyzed and attractors dimension and Lyapunov exponent are calculated as well.

基于混沌理论、相空间重构思想和嵌入理论分析涟水流域溶解氧的时间序列，计算吸引子维数和最大的Lyapunov指数，研究河流水质系统的复杂性特征。

Virial coefficients and relating formulations which are associated with temperature are got from PVT properties obtained by molecular dynamics simulation.

应用分形理论和分子动力学模拟方法，通过与标准布朗运动的类比，对实际分子运动的轨迹维数进行了理论分析。

In this Paper the joint profile expression and fractal theory are reviewed, and the fractaltheory is used to study the frictional angle of the rock joint.

本文首先简要介绍节理形貌的描述方法和分形几何理论，然后将分形理论引人岩体节理摩擦角的研究中，得出了用分形维数表示摩擦角的经验公式。

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。