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 cantor函数
 cantor function
 Cantor Set, Cantor Function and its Applications Cantor集、Cantor函数及其在构造反例中的应用 短句来源 In this paper a singular distribution function is constructed by using the Cantor expansions of real numbers. The Cantor function is its special case. 本文利用实数的Cantor展式构造出一类奇异分布函数，Cantor函数是其特例． 短句来源 Using the repeatid iteration of contraction similarity transformation,an analytic representation of Cantor function is found. It is extended to general Cantor funcetions. 用压缩相似变换的反复迭代 ,找到了Cantor函数的解析表示式 ,并推广到广义Cantor函数 短句来源 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. 例举了Cantor集及Cantor函数在构造反例中的应用. 短句来源
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 The icm-sum function 最小公倍数的和函数 短句来源 The Lcm-sum Function 最小公倍数的和函数 短句来源 Cantor's theorem for metric spaces. Cantor定理。 短句来源 Cantor Set, Cantor Function and its Applications Cantor集、Cantor函数及其在构造反例中的应用 短句来源 On Character of Cantor K Bisect Set Cantor K分集性质 短句来源

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 cantor function
 The ratio between firing and stimulation frequencies is a generalized Cantor function of the ratio between spontaneous and stimulation frequencies. The Cantor distribution is a probability distribution whose cumulative distribution function is the Cantor function.
 In this paper a singular distribution function is constructed by using the Cantor expansions of real numbers. The Cantor function is its special case. 本文利用实数的Ｃａｎｔｏｒ展式构造出一类奇异分布函数，Ｃａｎｔｏｒ函数是其特例． Using the repeatid iteration of contraction similarity transformation,an analytic representation of Cantor function is found.It is extended to general Cantor funcetions. 用压缩相似变换的反复迭代 ,找到了Cantor函数的解析表示式 ,并推广到广义Cantor函数 Singular function is an important distribution function of the singular random variable. It is studied widely. There have been many meaningful results both in examples and in proof methods. In this paper, we will construct a sort of nondecreasing singular function by the realization of Markov Chain on the space and by using of strong law of large numbers for nonhomogencous Markov chain. As a corollary, a strictly increasing singular function is obtained. This method depends on the strong law of Markov chain,... Singular function is an important distribution function of the singular random variable. It is studied widely. There have been many meaningful results both in examples and in proof methods. In this paper, we will construct a sort of nondecreasing singular function by the realization of Markov Chain on the space and by using of strong law of large numbers for nonhomogencous Markov chain. As a corollary, a strictly increasing singular function is obtained. This method depends on the strong law of Markov chain, rather than the transform of Cantor function. Thus the type and proof method of monotone singular function is enriched greatly. 奇异函数是一极为重要的奇异型随机变量的分布函数 ,被广泛研究。单调的奇异函数的实例和证明方法已得到许多有意义的结果。本文目的是通过马氏链在空间上的实现 ,利用非齐次马氏链强大数定律构造一类不减的奇异函数。作为推论得到的是一类严格递增的奇异函数。此构造方法依赖于马氏链的强律 ,而不是Cantor函数的变形。极大丰富了奇异单调函数的类型和证明方法 << 更多相关文摘
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