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.
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.
从实验结果看，分形维数可以很好地作为图像分类与分析的参数。
The result of the experiment showed fractal dimension can be a good parameter in image classified and analysis.
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.
结果表明，两者都具有显著的分形特征，起绉纹理的分维数与绉织物的视觉风格密切相关。
The result shows that both of them are fractals. And the fractal dimension of crepe texture is well correlated with the visual effect of the fabric.
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.
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.
分析了图像色彩模式与分形特性之间的关系，提出了根据像素的颜色强度来计算不同色彩模式下图像分形维数的方法。
The fractal characteristic and color mode of images were analyzed in the paper, accordingly color strength is suggested to be used to calculate fractal dimension of images for different color mode.
将SAR图像的特点与分形理论相结合，提出了一种新的基于区域自选的多尺度分形维数边缘检测方法。
With the combination of SAR image features and fractal theory, a new method of edge detection by calculating the fractal dimension multiscalely is proposed.
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.
河流水系形态特征可以通过河流的分形特征来反映，分形维数则是河流分形特征的量化表示，其与河流洪水之间存在着一定的关系。
The river fractal features can reflect the features of river systems, and the fractal dimension is an important variable that can reflect the fractal features.
通过演化曲线可以看出，分形维数与损伤变量随应力的递增均呈非线性增加，但分维的变化较平缓；
The evolution curve show known that fractal dimension and damage variable present nonlinear increase with the increment of stress, and the change of fractal dimension is relatively smooth.
确定谱的分形维数与物质相变、维晶状态以及结晶粒子线度的关系。
The relation among the matter phase-transition, crystalline degree, crystal site and spectrum fractal were discussed.
与周长法相比较，用面积法计算的孔隙分形维数对土壤质地更为敏感。
Comparatively, the pore fractal dimension calculated with the area method is more sensitive to soil texture than with the circumference method.
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.
絮体与微气泡间的相对尺度和流态的不同会有不同的碰撞机制，相应的动力学方程式与絮体的分形维数也有不同的关系。
The different collision mechanisms and relations to fractal dimensions were shown in flotation processes with different relative sizes between flocs and micro-bubbles and their movement conditions.
围棋构造象、形、理、数、“天圆地方”、“天盖地之象”、“三百六十有一周天数”与《河图洛书》、“天文历法”、《伏羲八卦》、《来知德》太极图有着紧密联系。
The "three hundred and sixty plus one days" is tightly linked with River Pattullo book, "astronomy and Chinese calendar", The Eight Trigrams of Fuxi, the Diagram of the Supreme Ultimate of Lai Zhide.
孔隙轮廓线分形维数是用来描述孔隙本身所具有的分形特征，它反映了土壤孔隙与固体颗粒接触界限的不规则性。
The pore profile fractal dimension depicts fractal geometry characteristics of soil pores, which reflects the irregular and rugged boundaries between soil pores and particles.
将分形计算维数概念与多层感知器神经网络结合，建立了机械设备的分形神经网络诊断方法。
Combining fractal calculating dimension with multi layer neural network, a diagnosis method named as fractal neural network is built.
从四个方面分析了近年来催化剂分形研究的方向和进展分形维数与催化剂评定和筛选，催化剂分形孔结构，分形与反应动力学，模型建立。
The development of fractal catalysts study in recent years was analyzed from four aspects: selection and assessment of catalysts, fractal pore structure, reaction dynamics and mathematics model.
本文以科赫曲线与康托尔三分点集为例，讨论了有规分形维数的计算；
Regular Fractal Dimension Calculation is discussed by using Koch Curve and Cantor Ternary Set.
实验表明，将纹理图像的分形尺度与分形维数结合，既反映了物理表面分形的尺度范围又反映了该尺度范围内的纹理粗糙程度，从而更有效地描述和区分纹理特征。
Experiments indicate that the fractal scale, together with the fractal dimension can effectively reflect the fractal scale range of natural textures and the texture roughness within the scale range.
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.
本文从理论上讨论了材料断裂韧性与分形维数的关系。
The relationship between the fracture toughness of materials and the fractal dimension value of fractured surfaces was discussed theoretically.
炸药样品在落锤撞击下，其分幅图像具有分形结构，同时，它的分形维数与炸药感度有关。
The frame photograph of explosive samples under drop hammer test have a furcate structure, in which the fractal dimension of the explosive is related to its impact sensitivity.
通过大量路用性能试验，得到AC - 16密级配沥青混合料集料的体积分形维数与路用性能指标之间的相关变化规律。
The correlations between road performance and the fractal dimension of aggregate volume of AC-16 are obtained from road tests.
研究了混沌与分形的特征参数?关联维数的计算方法和参数的选择。
The calculation of chaos and fractal characteristic parameter, the correlation, is studied.
利用数形结合结合，介绍了金字塔、杨辉三角形与一些特殊数列之间的关系。
Taking advantage of the combination of the Numbers and their shapes, this article introduces the relationship of some special arrays with the pyramid Numbers and the Yanghui Triangle.
以周长—面积法、变量法、网络法与半径法为例，介绍了无规分形维数的计算方法。
CircumferenceArea, Variation, Grid and Radius methods of calculation statistical fractal dimension are introduced.
以周长—面积法、变量法、网络法与半径法为例，介绍了无规分形维数的计算方法。
CircumferenceArea, Variation, Grid and Radius methods of calculation statistical fractal dimension are introduced.
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