1) n-dimension Cantor set
方体Cantor集
1.
A class of model shift describing chaotic maps on n-dimension Cantor set;
一类描述方体Cantor集上的混沌映射的拟移位映射
2) Cantor set
Cantor集
1.
Hausdorff measure of m non-uniform Cantor set;
m分非均匀Cantor集的Hausdorff测度
2.
About "Cantor set s Paradox ";
关于“Cantor集的‘悖论’”
3.
Start with the unit interal [0,1],using a sequence of decreasing dissection ratios,gets a Cantor set and give its box-counting dimension when the sequence limit exists.
以[0,1]区间为研究对象,利用单调递减的分割比例序列构造了Cantor集E,给出了该序列极限状态下E的盒维数。
3) cantor sets
Cantor集
1.
Hausdorff dimension of generalized Cantor sets;
一类广义Cantor集的Hausdorff维数
2.
Discusses the intersection of two general Cantor sets,and getssome dimension pro-perties of these sets under certain conditios by the dimension properties of Moran sets.
讨论了由两个广义Cantor集相交生成的分形集,利用Moran集的维数性质,探讨了在满足一定条件下此分形集合的维数性质。
3.
The authors discuss the self-similarity of unions of three Cantor sets.
讨论了三个Cantor集平移并的自相似性,利用Cantor展式,确立了C∪(C+α)∪(C+β)为自相似集时,α,β的取值范围,同时证明了当β的Cantor展式中全为2时C∪(C+α)∪(C+β)不是自相似集。
4) Cantor set
Cantor 集
1.
In this paper we illustrate,that the Cantor set bring the important role into play, solving some questions of real analysis.
指出了 Cantor 集在解决某些实分析问题中发挥的重要作用。
2.
This paper gives no end points of rational points and irrational points in Cantor set.
本文给出了 Cantor 集中那种非端点的有理点以及无理点。
5) Cantor set
三分Cantor集
1.
A Basic Property on the Structure of Cantor set and Applications;
关于三分Cantor集的构造的一个基本性质及其应用
2.
By analyzing the properties of the Cantor set C and the Cantor measure , and the geometrical properties of the shift space (Σ∞,δr) with 2-symbols, discusses the relationship of shift space and Cantor set, gains that there is a Haar wavelet basis on the space L2(C,μ), further the space L2(C,μ), is separable.
通过分析三分Cantor集C、Cantor测度的性质以及含有有限个字的符号空间(Σ∞,δr)的几何性质,探讨了(Σ∞,δr)空间与三分Cantor集之间的关系,并在此基础上论证了L2(C,μ)空间中存在正交基,即文中的Haar小波基,从而知L2(C,μ)是可分的。
6) extended Cantor Sets
广义Cantor集
1.
Extended Cantor Sets E and F is produced when a linear iterated system s_i=a_xi+c_i,i=1,2,3 on the satisfying the open sets condition Furthemore,a computational formula of the Hausdorff measure of extended Cantor Sets E and F is given,H~s(E)=1,H~s(F)=c_31-a_3-c_11-a_1~s which satisfy a~s_1+a~s_2+a~s_3=1.
讨论了线性迭代系统si(x)=aix+ci,i=1,2,3在满足开集条件时,产生的广义Cantor集E与F,并获得了E与F的s维Hausdorff测度的精确值,即Hs(E)=1,Hs(F)=c31-a3-c11-a1s,其中s满足as1+as2+as3=1。
补充资料：集方
集方
方书。5卷。清丁其誉(蜚公)辑于顺治十八年(1661年)。为丁氏所辑《寿世秘典》4篇(月览、调摄、类物、集方)之一。仿彭用光《简易普济良方》之意，取历代医书及笔记中所载内外各科诸证简易验方，汇为一编。每证列述前人医论，以证系方，方多标明出处。现存颐古堂刻《寿世秘典》本。
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
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