自形

By discussing the position hypothesis of fractional-dimension derivative about general function and the formula form the hypothesis of fractional-dimension derivative about power function, the concrete equation formulas of fractional-dimension derivative, differential and integral are described distinctly further, and the difference between the fractional-dimension derivative and the fractional-order derivative are given too. Subsequently, the concrete forms of measure calculation equations of self-similar fractal obtaining by based on the definition of form in fractional-dimension calculus about general fractal measure are discussed again, and the differences with Hausdorff measure method or the covering method at present are given. By applying the measure calculation equations, the measure of self-similar fractals which include middle-third Cantor set, Koch curve, Sierpinski gasket and orthogonal cross star are calculated and analyzed.

通过讨论一般函数的分维导数的位置假设及幂函数的分维导数的形式假设，进一步明晰了幂函数的分维导数、分维微分及分维积分的具体方程形式，给出分维导数与分数阶导数的区别，随后讨论了基于一般分形测度的分维微积分形式定义导出的自相似分形的测度计算方程具体形式，给出了其与目前 Hausdorff 测度方法的区别，并对包括三分 Cantor 集合、 Koch 曲线、 Sierpinski 垫片及正交十字星形等自相似分形在内的测度进行了计算分析。

A multi-window adaptive median filter based on cross-window and furcate-window filter is proposed,in which cross window or furcate window can be selected adaptively based on the image shape in the window.

本文提出并设计一种将十字窗和叉形窗有机结合的多窗口自适应中值滤波器，可根据窗口内图像自身的形状，自适应地选择十字窗和叉形窗。

By the integration of wavelet transforms and fractal coding and by use of self-similarities, the image compression coding based on wavelet transforms and fractal coding is proposed with the iterated function system.

对小波变换、分形压缩编码的原理和特点进行了分析；结合小波变换和分形压缩编码，利用分形的自相似，研究了基於小波域的分形图像压缩方法。

A sample numerical design method for constant beamwidth beamformer is given. This method is easy to implement and has no restriction on array geometry and sensor patterns; Three methods for the design of broadband frequency invariant beamformer are proposed, which are the method of resampling signals received by the array, the DFT interpolation method and adaptive synthesis method, respectively. Examples and performance analyses are given for each method; A simplified linear constrained minimum variance broadband adaptive algorithm that based on DFT interpolation method is presented. Compared with conventional broadband adaptive algorithms, the presented method can reduce computation work greatly.

提出了一种简单、易于实现的恒定束宽波束形成器设计方法，该方法对阵形和阵元指向性没有任何限制；分别提出了基于阵列接收数据重采样、基于DFT插值和自适应综合的三种具有频率不变波束图的宽带波束形成器设计方法，对于每一种设计方法都给出了一个设计实例并做了性能分析；提出一种基于DFT插值的简化线性约束最小方差宽带自适应阵列算法，该方法可以大大降低自适应阵列的运算量。

An approach to image interpolation based on local fractal similarity transformation suitablefor complex images in natural scenes is described. Similarity transformation of rectangular image blocks are added and the extremem method in the function with two variables is used to obtain the optical similarity transformation.

提出了适用于复杂自然景物图像的基于局部分形自相似变换的图像插值方法，在常用的局部分形自相似变换基础上增加了矩形图像块的自相似变换，并采用二元函数的极值方法求最佳相似变换。

A novel polymer of Poly(diglycidyl maleate-co-stearyl methacrylate) was synthesized and its structure was characterized by ~1H NMR. Its self-assembly behavior was studied in different solvents. It was found that vesicles and tubule-liked aggregates can be obtained through self-assembly of P(DGMA-co-SMA)/THF/EtOH system. And spheral aggregates were obtained in P(DGMA-co-SMA)/THF/H_2O system while the spheral aggregates were converted into rod-liked aggregates and line-liked aggregates after aged for different time.

合成了带含环氧基侧链和十八烷基侧链的聚(马来酸二缩水甘油酯-co-甲基丙烯酸十八酯)，用~1H NMR对所得的共聚物进行了表征；研究了其在选择性溶剂中的自组装行为，发现P(DGMA-co-SMA)／THF／EtOH体系可以通过自组装形成囊泡形自组装体和支化的管状自组装体，P(DGMA-co-SMA)／THF／H_2O体系最初自组装形成球形自组装体，随着陈化时间的延长，球形自组装体逐渐融合成长条形自组装体和线形自组装体；探讨了自组装过程的机理，建立了可能的自组装过程模型。

And their fractal figures have been drawn. Meanwhile, to obtain a better visual effect and simulate actual natural scene, software adopts the real color and color palette to enrich figures, and color animated cartoon to change them. To show the self-similarity and infinitive tractility of fractal figures, partial zoom has been made on them. In addition, the software also provides several groups of graphic parameters. Very different fractal figure can be created through slightly changing such parameters.

本文运用分形理论实现多种分形算法，在计算机上生成Mandelbrot集，Julia集，L系统，IFS迭代函数系统等典型的分形图形，同时运用真彩色及调色板技术丰富图形的色彩，实现了色彩动画，使其更真实的模拟自然景物；运用鼠标编程技术实现对图形局部的放大和缩小，体现分形图形的自相似性和无限延展性；提供多组参数，利用分形图形的混沌特性，通过微小的参数变化，生成完全不同的分形图形。

The results show that the microstructure of the cladding wire by drawing at room temperature is vimineous grain as fibril shape from prime equiaxed grain. The fibril diameter is in inverse proportion to deformation and the fibril length is in direct proportion to the square of deformation approximately. The ultimate tensile strength of the cladding wire by drawing at room temperature goes up in direct proportion to square root of deformation, whereas the elongation decreases and fluctuates.

结果表明：显微组织自原始的等轴晶变为细长条纤维状，纤维直径与形变量近似地成反比，纤维长度与形变量的平方近似地成正比；经室温拉变形的铜包铝线的极限抗拉强度随形变量增大而增大，与形变量平方根呈直线关系；延伸率随形变量增大逐渐降低，但延伸率波动较大。

In this paper,two experimental methods had been adopted to verify the correctness and practicality of the shape meter method:one is to roll aluminum plate and calculate the shape stiffness of mill and rolled piece,then survey aluminum plate crown to verify shape stiffness equation ;the other is to calculate survey data off line of hot continuous roll.

采用两种实验方式验证了板形计法的正确性和实用性，其一是通过轧铝板实验，计算轧机板形刚度和轧件板形刚度，由实测铝板凸度验证板形刚度方程；其二是由CVC板形控制热连轧机实测数据，用离线计算自适应系数的方法验证板形测控数学模

From this conclusion, the correlation and power spectrum of random SSM doesn′t possess the complex fractal structure.

给出了无穷尺度的确定性自相似关系的唯一解，这个解不具有复杂性，从而可导出结论：具有逆幂律特性的平稳随机分形的自相关和功率谱不可能具有通常所理解的复杂分形结构。

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。