1) kth Cantor sets
k分Cantor集
1.
By analyzing the construction of the kth Cantor set (in which k is an odd integer),this paper firstly discussed some topological properties and fractal characters of the kth Cantor sets,and then proved that the space Lp(Ck,μ)(1≤p<∞) is complete by using the dominated convergence theorem.
通过k分Cantor集Ck的构造,得到它的一些重要拓扑性质和分形特征;进而利用控制收敛定理,证明了k分Cantor集Ck上p方可积函数空间Lp(Ck,μ)(1≤p<∞)是完备的。
2) Cantor K bisect set
Cantor K分集
1.
It is demonstrated that Cantor K bisect set also has the general character of Cantor set.
将Cantor集的构造方法推广,得Cantor任意K(K≥3)分集;证明Cantor K分集也具有 Cantor集的一般性质。
3) plane CANTOR " k" separate set
平面Cantor"K"分集
4) 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。
5) Cantor ternary set
Cantor三分集
1.
Topology on the set of maximal consistent propositional theories and the Cantor ternary set;
命题逻辑中极大和谐理论之集上的拓扑与Cantor三分集
6) λ divided Cantor set equally
λ等分Cantor集
1.
The paper extends one of the natures of the structure of parts Cantor set which has been divided into three parts to the λ divided Cantor set equally.
将三分Cantor集构造的一个性质推广到λ等分Cantor集,并用它计算出λ等分Cantor集的Hausdorff测度。
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