This paper discussed two classes of subsets of the general Sierpinski carpets for which the digits in the expansions lie in some groups or in some horizontal fibers with linear frequencies.
本文讨论具有线性结构的自仿Sierpinski毯的子集的Hausdorff维数和Hausdorff测度，包括具有线性点频率和线性纤维频率这两类子集。
The Sierpinski fractal dimension of wear particle image could be used as one of the feature parameters for wear particle image.
磨粒图像的Sierpinski分形维数可以实现磨粒图像的特征提取。
Using the quaternion expansion of the shifting number, we determined the fractal structure of intersection of sierpinski footcloth with their translates, and set up the fundamental properties of Box dimensions of those intersection sets.
研究Sierpinski地毯平移交集的计盒维数，发现它与平移长度有关，利用移位t的四进展开式，给出一递归集，得到Sierpinski地毯平移交集的分形结构，并建立这些交集计盒维数的基本性质。
The project looks for Proth prime numbers in which, for a number k, if every possible choice of n results in a composite Proth number N, k is a Sierpinski number.
项目所要寻找的Proth素数是指对一个数k，如果每一个n得到的都是合数Proth数N，则k即是斯尔宾斯基数。
Famous Hilber curve and Sierpinski curves, JAVA.
体现递归算法和JAVA中的绘图功能。
The results showed that the processing of fractal images by MATLAB is simple and convenient, and the calculating results of fractal dimensions tested by some fractal curves such as the Koch curve and the Sierpinski gasket are accurate and believable The particles with different irregularities have different fractal dimensions, and the sources and transport processes of particles can be indicated by their fractal dimensions.
结果表明：MATLAB对分形图像的处理简单、方便，通过科赫曲线、谢宾斯基填料等有规分形图形分形维数的计算表明该方法计算出的结果准确、可靠、对大气颗粒物的分形维数的计算表明，不同不规则程度的颗粒物有不同的分形维数，可以通过颗粒物分形维数的计算分析颗粒物的来源和输运过程。
The locality of the index is inherited from Sierpinski curve. Further we organize the data as multi layer and each layer data is of multiresolution. We combine caching and prefetching techniques to obtain further speed-ups.
论文还进一步提出了数据的分块多分辨率组织，能更有效的执行数据的预测和装载，减少数据文件读取所造成的瓶颈，使得基于外存的绘制效率更高。
In this paper, firstly, we construct the special coverings of Koch curve and Sierpinski gaset, and then improve these coverings. By the homogeneous property of the Hausdorff measure of the self-similar set, the certain upper bounds of the Hausdorff measures of Koch curve and Sierpinski gaset are obtained, which improve the results of refs.
首先构造Koch曲线和Sierpinski垫片的特殊覆盖，然后对这种覆盖进行处理，根据自相似分形集的Hausdorff测度的齐次性质，分别给出了Koch曲线和Sierpinski垫片Hausdorff测度的上限，它改进了文献[2-4]的相应结果。
The algorithm which is classic: Cantor-sets, Koch curve, Sierpinski spacer, Julia sets, mandelbort sets and so on.
其中比较经典的算法有Cantor三分集，Koch曲线，Sierpinski垫片，Julia集，mandelbort集等。
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。
Chapter three, we prove that, in high-density case, there is only one infinite clusterin percolation on lattice Sierpinski Carpet.
第三章，本文证明模型参数充分大的情况下，格点Sierpinski地毯上渗流模型的无穷串唯一。
And we get. then∩S Sn is called generaizedlized Sierpinski gasket made from S0. The Hausdorff dimension of S is -log3/loga.
得到：，非空集∩S Sn称为由S0生成的泛Sierpinski垫片，S的Hausdorff维数由定义易得s=dimHS=-log3/loga。
We also get the exact packing measure for a class of generalized Sierpinski gaskets by means of this principle.
作为该方法的应用，得到了一类广义Sierpinski垫片的填充测度的准确值。
There are only 13 primes left to solve the Prime Sierpinski Problem.
再有 13 个的话就能解决谢尔品斯基质数问题了。
Phil Moore and I were recently able to author and publish a journal paper in INTEGERS that establishes the Mixed Sierpinski Theorem.
Phil Moore 和我最近在期刊 INTEGER 上发表了一篇论文，证明了混合谢尔品斯基定理。
The Sierpinski fractal antenna with two iterations has dual-band property at some flare angle, could applied to satellite communication and mobile communication extensive.
在一定张角下二次迭代Sierpinski分形天线具有双频特性，可广泛的应用到卫星通信和移动通信中。
The possibility, method, technology, and application of its 3D parameterization were expounded, thus summed up and screened out important parameters of determining its formation, and established the model. On the bases of ObjectARX2000 a 3D modeling method combining the 3D fractal modeling with the solid modeling was put forward for 3D modeling method of Sierpinski triangle. An improved algorithm of 3D fractal curved surface was advanced to substitute the displacement method of triangle midpoint for generating the fractal-curved surface, so as to establish a 3D mathematical model for 3D Caley tree. Main program was compiled by the use of VC++ and ObjectARX language to form a 3D fractal parameterized drawing system, thus provided a convenient condition for introducing the fractal into the domain of CAD design. Under the circumstances of AutoCAD2000, this paper developed a 3D fractal parameterized drawing module.
论述其三维参数化的可能性、方法、技术及应用，从而归纳筛选出决定其形态的重要参数，建立模型，并基于ObjectARX2000对Sierpinski三角形的三维建模方法提出了三维分形建模与实体建模相结合的三维建模方法，提出了三维分形曲面的改进算法以替代生成分形曲面的三角形中点位移法，为三维Caley树建立了三维数学模型，并用VC++和ObjectARX语言编写主程序，形成了一个三维的分形参数化绘图系统，为分形引入CAD设计领域提供了便利条件。
At the end of this chapter, Koch curve wire is extended to common methods. The double bent wire monopole antenna is put forward and its geometry parameters are investigated. Sierpinski microstrip antenna is paid attention widely owing to its simple arts and crafts.
在第四章中，作者为了分析Sierpinski 天线，并采用基于有限积分理论的电磁仿真软件CST 对Sierpinski 分形贴片天线的多频性能作了详细的研究。
A model of idealized fractal structure of the tetrahedrally-bonded amorphous semiconductor is set up with the aid of well-known Sierpinski Gasket, and the construction of the reciprocal space is also studied.
借助著名的谢尔宾斯基（Sierpinski）分形，构造四面体键合非晶半导体的一种理想分形结构模型，并研究其倒格子空间的构造。
In Sierpinski of second-order patch square mat antenna on the slot, change its surface current flow, high frequency end characteristics of change, reduce the high frequency end center frequency, thus obtains a UHF band and microwave section based on the parting antenna.
在Sierpinski方形垫天线的二阶贴片上进行开槽，改变其表面电流流动，对高频端特性进行改变，降低高频端中心频率，从而得到一种基于UHF频段及微波段的分型天线。