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.
实验结果表明，高的反应温度和煅烧过程中快的升温速度明显增加了前驱体溶液中单斜氧化锆的形核数。
Experimental results indicate that a high reaction temperature and quickly ascending temperature speed apparently increase the nucleation number of monoclinic zirconia in the precursor solution.
基于改进的单纯形算法和残数法，对药物动力学房室模型中的有关参数计算进行了研究。
By using improved simplex method and residuals method, a calculation based on the parameters of compartment model of pharmacokinetics is presented.
研究结果表明：地震分布的多重分形维数谱和奇异性谱对于一些典型震区的强震发生具有中期预报价值。
The results show that the medium term symptoms of strong earthquakes in some regions can be proposed from the multi fractal dimension spectrum and singularity spectrum of earthquake distribution.
采用荧光分光光度计测定浅色纤维上的染料，根据荧光光谱的峰数、峰位、峰形和峰强来鉴别浅色纤维上的染料。
The fluorescent spectrophotometry was used to deter mine the dyes on light colored fibers, and such dyes were identified according to the numbers, locations, forms and strengths of the peaks.
并根据毛管压力曲线资料计算了孔隙结构的分形维数和孔径大小概率密度分布。
The fractal dimension of pore structure and size distribution are studied based on the capillary pressure data.
分析了一阶分形模糊控制滤波器的频率-幅度特性，白噪声和有色噪声分形盒维数的变化；
The frequency-magnitude response of the fractal filter and the change of fractal box dimension of white noise and color noise are analyzed.
采用相空间重构和关联维数方法，研究了广西沿岸月平均海平面变化的分形特征。
By using the methods of phase space construction and correlation dimension, the fractal character of sea level variation along Guangxi coast was analyzed.
首先通过计算原始图像和特征灰度图像的分形维数实现第一次的粗分类提取，然后采用多重分形奇异谱方法进一步完成了细分。
At first, the fractal dimension is extracted from the original image and special gray image for the rough classification, and then the multi-fractal dimension is used for further classification.
介绍了分形和分形维数在催化剂研究中的应用。
Fractal and fractal dimension theories applied on catalysts were introduced in this paper.
改变了继电器控制系统中机械式的鼓形控制器或凸轮控制器步数和输出点数有限、体积大、重量大、成本高的缺点。
It changes the disadvantage that drum or CAM controller in relay control total steps, output points are limited, large volume and weight, high costing.
本文讨论了基于三角形模糊数的模糊约束条件和基于梯形模糊数的模糊费用。
Fuzzy constraints based triangular fuzzy Numbers and the fuzzy cost based trapeze fuzzy Numbers are discussed in this paper.
利用混沌时间序列的分析方法，对铅中毒情况下的大鼠的脑电波进行了测试和分析，求出了其分形维数。
The EEG in lead - administrated rats is measured and analyzed using the method of chaotic time series analysis in this paper. The fractal dimension of EEG is determined.
石油焦的燃烧具有分形动力学的行为特征，且表面分形维数的变化趋势和比表面积和孔容积不同。
The fractal characteristics of petroleum coke combustion are validated, which proves that the change of surface fractal dimension differs from that of specific surface area and pore volume.
基于分形理论和计算机图像处理技术，编制计算材料断口形貌计盒分形维数的MATLAB程序。
Based on the fractal theory and computer images analysis technique, a MATLAB program which computes box fractal dimension of material fracture was designed.
基于小角X射线散射理论，利用逐级切线法和材料分形理论中的散射强度法，分别计算PAN基炭纤维内微孔大小、体积分数及微孔表面分形维数。
Based on SAXS theory and fractal theory, we obtain the calculating method and calculating formulas of the pore size, pore volume percentage and the fractal of pore surface in PAN - based carbon fiber.
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.
分形维数是描述自然界和非线性系统中不光滑和不规则几何体的有效工具，是所有分形对象的主要特征之一。
Fractal dimension is usually an effective way that used to describe the non-smooth and non-regular geometry objects in the nature and non-liner systems.
研究了ABR反应器启动成功后成熟颗粒污泥的物理性质和不同拓扑空间下的分形维数。
The physical properties and fractal dimensions within different topological spaces of the mature granular sludge in an anaerobic baffled reactor (ABR) were investigated.
详细讨论了分形维数和微孔结构随压力的变化规律。
The influences of pressure on the fractal dimension and the structure of micropore are discussed in details.
计算了岩溶元的分形生长维数和岩溶发育的分形评价指数，据此对岩溶发育程度进行判别。
Fractal dimension and fractal assessment index of karst were calculated, and they were used to evaluate karst development degree.
根据峰形和峰数的变化，描述蛋白质的伸展程度；
The expansion extent of protein may be described using changes in peak shape and peak number.
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.
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.
本文将分形布朗模型和分形维数引入火焰图像分析中，可以预报早期火灾，减少火灾的损失。
This paper introduces fractal brown model and fractal dimension into the texture analysis of flame images, which can forecast early fire and reduce the losses of property when fire happened.
本文研究了ABR反应器启动过程中及启动成功后颗粒污泥的物理性质和不同拓扑空间下的分形维数。
The physical properties and fractal dimensions within different topological Spaces of the granular sludge in anaerobic baffled reactor (ABR) were investigated.
本文研究了ABR反应器启动过程中及启动成功后颗粒污泥的物理性质和不同拓扑空间下的分形维数。
The physical properties and fractal dimensions within different topological Spaces of the granular sludge in anaerobic baffled reactor (ABR) were investigated.
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