对中学数学教学中数形结合思想方法的反思与展望。
For middle school mathematics teaching method combining the number of reflection and prospect.
利用数形结合的思想为不等式构造解析几何模型，并加以推广。
This article structures and extends an analytic geometry model for a inequation based on combining Numbers and shapes.
对如何利用数形结合中的“以形辅数”方法，直观形象地解决数学问题加以阐述。
Ways of solving mathematic problems objectively and vividly by using the method of "Assisting Number with Graphics", combining number and graphics, are expounded.
本文分析了分形理论在储层构造裂缝评价中的应用，提出了计算分形维数的网格覆盖法。
This paper presents the application of fractal theory to the evaluation of structural fractures in reservoirs and puts forward a grid-coverage method to calculate the fractal dimension.
计算了不同大地构造单元的断裂构造的分形维数，给出了其分形维数与损伤演化的关系。
The fractal dimension of the different geotectonic elements was calculated and the relation between the fractal distribution and the damage evolvement was given in this paper.
提出了一种估计分形维数的新方法，并利用该方法估计自然纹理图像的分形维数。
A novel method for estimating the fractal dimension has been proposed and the method has been applied to estimate the fractal dimension in natural texture images.
土壤的质地类型、含盐量、有机质含量等是决定土壤粒径分布分形维数的主要因子。
Texture type, salt content, organic matter content, etc. are the major factors determining the fractal dimension of soil particle-size distribution.
将分形的有关理论与机械故障诊断联系起来，论述了分形维数的基本概念，介绍了网格维数及其求取方法。
This paper connected the fractal theory with the mechanical fault diagnosis, discussed the basic concept of the fractal dimension, introduced the concept of gridding dimension and its solution.
根据这一规律，通过计算声发射信号曲线的赫斯特指数(或分形维数)，便可确定声发射试验中的凯塞点。
On the basis of this character of Hurst index, the Kaiser point can be determined correctly by calculating the Hurst index of AE signal curve.
实验表明絮凝体的分形维数与絮凝条件有较强的相关性，可以作为混凝投药系统优化设计的主控参量之一。
The results showed that the fractal dimensions had good response to the flocculation conditions, and it can be used as one of the main parameters of coagulant dosing system.
分形维数是描述图像粗糙程度的主要参数。
Fractal dimension is an important parameter to characterize roughness in an image.
本文提出了一种新的计算分形维数的方法。
In this dissertation, a new computation method of fractal dimension has been presented.
本文提出了分形维数估计的子波函数方法。理论和计算机模拟实验表明，新方法不仅实现简单，而且具有较强的噪声抑制能力。
Wavelet - based method is proposed to estimate fractal dimension. It is shown in theory and in experiment that the new method is simple to implement and robust to noises.
用裂隙密度分形维数定量描述了巷道围岩裂隙的分布和演化。
The crack distribution and evolution of the surrounding rocks of roadway can be quantitatively depicted by the fractal dimension of crack density.
林隙冠空隙的斑块分形维数小于扩展林隙的斑块分形维数。
The patch fractal dimension of canopy gaps is smaller than that of the expended gap.
实验结果表明，分形维数能很好地表征表面轮廓，可为进一步的接触分析提供更合理的几何模型。
Taking rigid disk surface as an example, fractal parameters are obtained by means of power spectrum and structure function, providing a proper geometric model for further contact analysis.
目的：探索肺癌图像的纹理分形维数特征。
Objective: To probe the fractional dimension feature of lung cancers texture.
分形维数随外加电压的改变呈现不规则的变动。
The change of fractal dimension was irregular with the change of voltage.
考察了晶粒度与分形维数之间的关系。
The relation between grain size and fractal dimension is investigated.
多孔材料等效导热系数与分形维数关系的数值模拟研究。
Numerical simulation of relationship between thermal conductivity of porous material and fractal dimension.
在此基础上，讨论了断裂尺度分形维数与地壳活动性的关系。
Based on this, the relation between fracture fractal dimension and the Earth crust activity was discussed.
此外，对分形维数与抗压强度的关系也进行了探讨。
In addition, the relationship between the fractal dimension and compressive strength is approached.
分析的结果表明，单一分形维数并不能完整地描述万州区滑坡的空间分布结构；
The result indicates that a fractal dimension could not integrally describe the spatial distribution structure of landslides in the region.
将该模型用于销盘磨合磨损试验，对最佳分形维数进行了准确预测。
When it is used in the running-in process, the model can predict optimum fractal dimension precisely.
结果说明以分形维数作为评价指标是可行的。
The results proved that fractal dimension was an efficient parameter.
结果表明：木材内部孔隙度的分形维数是定量反映干燥过程中木材内部孔隙复杂程度新的有效指标。
The results showed that the fractal dimension is an effective index to quantitatively characterize the complexity of wood interior porosity during the drying process.
结果表明：木材内部孔隙度的分形维数是定量反映干燥过程中木材内部孔隙复杂程度新的有效指标。
The results showed that the fractal dimension is an effective index to quantitatively characterize the complexity of wood interior porosity during the drying process.
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