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1.
把正整数数列或奇数列中的指定素数i的倍数用“●”表示、其它数用“○”表示 ,构成单行阵列Mi,亦称图排 ,通过若干个素数值小于i的图排的迭加投影 ,求得由“●”和“○”表达的正整数数列或奇数列的图排 ,其中的“●”为合数、“○”即为素数 ,初步研究了Mi的一些特性和素数在正整数数列中的的分布规律  相似文献   

2.
一个交换半群的元素的表示形式   总被引:1,自引:1,他引:1  
在数集的基础上,在整数域上建立了一个新的交换半群,并在有理数域、实数域和复数域上进行了推广;作为应用,讨论了其元素的表示形式。  相似文献   

3.
平均距离、距离独立数和距离控制数都是度量网络性能的重要参数.在某种程度上,平均距离比直径更能衡量网络的性能.确定一般图的距离独立数和距离控制数是NPC问题,对于给定的正整数d和l.确定特殊图类的距离独立数和距离控制数显得很重要.得到超立方体网络的平均距离,以及对于某些正整数d和l.超立方体网络的距离独立数和距离控制数.  相似文献   

4.
Children's intuitive understanding of number, i.e. number sense, is associated with individual differences in mathematics achievement. To investigate the causal association between number sense, traditionally assessed with comparison or number line estimation tasks, and mathematics achievement, often assessed with an arithmetic test, an intervention study was conducted that aimed at training either comparison or number line estimation skills. We contrasted a comparison and number line estimation training. By doing so, we wanted to address the question which intervention had the largest effect on arithmetic. In addition, such a direct comparison between comparison and number line estimation trainings would allow us to get more insight in the association between both tasks. Participants were 151 five-year-olds that were randomly allocated to either an experimental condition (i.e. comparison or number line estimation) or one of the two control conditions (i.e., active control condition and empty control condition) in a pretest-posttest design measuring number knowledge, (non-)symbolic comparison and number line estimation and arithmetic. The results showed that both comparison and number line estimation trainings had a positive effect on arithmetic. However, the absence of transfer effects from one task to another, also suggested that comparison and number line estimation rely on different mechanisms and probably influence arithmetic through different mechanisms.  相似文献   

5.
在数论的研究中,人们发现了许多趣味数。其中环状数就是其中的一种超味数,但历来都不把它作为一类数进行研究。我试着把环状数象完全数、梅审数、费马数等一样进行了探讨,给出了不状数的定义,并通过数的整除理论提示环状数与质数、循环小数之间的关系,得出了求环状数的一般方法。  相似文献   

6.
以两位数、三位数、四位数等为例,综述了各位数的偶数表示为两个质数之和的组合形式的发展趋势.得出了一个偶数,无论以两质数之和,或以两纯奇数之和,或以一个质数与一个纯奇数之和去表示.总是偶数越大表示为两数之和的组合数越发具有多样性的共同的规律.由此提出了对“哥德巴赫猜想”深信不疑的根据.  相似文献   

7.
本文给出了素数和素数对计数问题的几个公式,在此基础上,证明了Goldbach问题和孪生素数问题。  相似文献   

8.
利用Fibonacci数和Lucas数的生成函数与Gagenbauer多项式生成函数的关系,得到了关于Fibonacci数与Lucas数的线性组合的一组恒等式.  相似文献   

9.
A number of psychometricians have suggested that parallel analysis (PA) tends to yield more accurate results in determining the number of factors in comparison with other statistical methods. Nevertheless, all too often PA can suggest an incorrect number of factors, particularly in statistically unfavorable conditions (e.g., small sample sizes and low factor loadings). Because of this, researchers have recommended using multiple methods to make judgments about the number of factors to extract. Implicit in this recommendation is that, when the number of factors is chosen based on PA, uncertainty nevertheless exists. We propose a Bayesian parallel analysis (B-PA) method to incorporate the uncertainty with decisions about the number of factors. B-PA yields a probability distribution for the various possible numbers of factors. We implement and compare B-PA with a frequentist approach, revised parallel analysis (R-PA), in the contexts of real and simulated data. Results show that B-PA provides relevant information regarding the uncertainty in determining the number of factors, particularly under conditions with small sample sizes, low factor loadings, and less distinguishable factors. Even if the indicated number of factors with the highest probability is incorrect, B-PA can show a sizable probability of retaining the correct number of factors. Interestingly, when the mode of the distribution of the probabilities associated with different numbers of factors was treated as the number of factors to retain, B-PA was somewhat more accurate than R-PA in a majority of the conditions.  相似文献   

10.
本文给出了0-1数列若干性质.设a,c分别表示自然数集和实数集的基数,我们有下列结果:(1)C_a~a=c,(2)C_a~0+C_a~1+C_a~2+…+C_a~n+…+C_a~a=2~a  相似文献   

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