1) Cantor function
Cantor函数
1.
Study on generalization and probabilistic property of Cantor function;
Cantor函数的推广及其概率性质
2.
Based on discussions on three definitions and characteristics of the Cantor set, the paper has framed four definitions of Cantor function, proved their equivalence, and illustraed with examples of the applications of Cantor set and Cantor function in structrue counter examples.
讨论了Cantor集的3种定义,根据Cantor集的特征,构造了Cantor函数的4种定义并证明了其等价性。
2) Cantor-like function
Cantor型函数
3) general Cantor functions
广义Cantor函数
4) Cantor-like stochastic function sequence
Cantor型随机函数序列
1.
A class of local strong limit theorem for arbitrary Cantor-like stochastic function sequence is investigated.
研究了对任意Cantor型随机函数序列随机和普遍成立的一类局部极限定理。
5) Cantor series
Cantor级数
1.
On the irrationality of Cantor series;
Cantor级数的无理性
2.
We study the Cantor series.
主要研究Cantor级数sum from n=1 to ∞(bn/a1…an)。
6) 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。
补充资料：Cantor公理
Cantor公理
Cantor axiom
Can山;一!一1 8 72介提出.C叨姗公理【Catl俪耐.;地。1印aa以“OM以1 表征实数轴的连续性的公理之一，如下所述:任何闭区间套序列(即后一个区间包含在前一个区间之中)，如果其长度趋于零，则必包含唯一的公共点.为G.
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参考词条