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一类互不相交的整数集合
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作者 孙营营 《菏泽学院学报》 2022年第5期23-26,共4页
应用几何级数、素数以及限制参数范围的方法构造了几组互不相交的整数集合,给出了它们的一般性构造表达式.用反证法和素数相关的整除性质,证明了这些集合随着参数的变化是互不相交的,然后指出了对利用偶素数构造的整数集合限制参数范围... 应用几何级数、素数以及限制参数范围的方法构造了几组互不相交的整数集合,给出了它们的一般性构造表达式.用反证法和素数相关的整除性质,证明了这些集合随着参数的变化是互不相交的,然后指出了对利用偶素数构造的整数集合限制参数范围可以实现与用奇素数构造的整数集合互不相交.最后给出了所构造集合在密度问题上的一个应用. 展开更多
关键词 几何级数 素数 互不相交 整数集合 密度
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一个正整数集合的结构
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作者 孙乾 《数学的实践与认识》 CSCD 1998年第4期330-335,共6页
根据互质正整数a,b定义—个集合G(a,b)={g|a+b≤g≤ab,g=ma+nb,m、n皆为整数}集合中的极大连续整数子集称为链,每个链所含元素个数,称此链的长.本文通过一种特定的取小运算,计算出了所有可能长度的链的个数,从而搞清了这个正整数集合的... 根据互质正整数a,b定义—个集合G(a,b)={g|a+b≤g≤ab,g=ma+nb,m、n皆为整数}集合中的极大连续整数子集称为链,每个链所含元素个数,称此链的长.本文通过一种特定的取小运算,计算出了所有可能长度的链的个数,从而搞清了这个正整数集合的结构. 展开更多
关键词 极大元 链长 整数集合 互质数对
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几个集合的简单图示(高一)
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作者 徐加生 《数理天地(高中版)》 2004年第10期3-3,共1页
1.抽象集合。抽象集合的相关运算和包含关系可用文氏图表示.
关键词 数学 抽象集合 圆周 实数集 整数集合
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r重gcd-closed集合上的LCM矩阵 被引量:1
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作者 洪绍方 《四川大学学报(自然科学版)》 CAS CSCD 1996年第6期650-657,共8页
设S={x1,x2,…,xn}为一个n元正整数集合.Bourque和Ligh猜想最大公因子封闭(gcd-closed)集合S上的最小公倍(LCM)矩阵[S]n是非奇异的.作者引进r重gcd-closed集合来研究上述... 设S={x1,x2,…,xn}为一个n元正整数集合.Bourque和Ligh猜想最大公因子封闭(gcd-closed)集合S上的最小公倍(LCM)矩阵[S]n是非奇异的.作者引进r重gcd-closed集合来研究上述猜想.证明了当n≤5时上述猜想成立.当n≥6时。 展开更多
关键词 整数集合 因子封闭 最大公因子封闭
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介绍一个组合问题
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作者 陶平生 《中等数学》 2011年第5期10-12,共3页
2010年8月16日至22日,由台湾九章数学教育基金会和彰化师范大学数学系承办的第七届东南地区数学奥林匹克在台湾举行.笔者为此次竞赛提供了一道组合候选题.题目将正整数集合M={1,2,…,99}中的元素分别染成红、蓝、绿三种颜色,
关键词 组合问题 数学奥林匹克 整数集合 东南地区 师范大学 数学教育 数学系 基金会
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数列解答题的几种类型
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作者 张丽平 《中国教育技术装备》 2009年第1期72-73,共2页
数列是一种特殊的函数,定义在正整数集合上的函数,这种特殊性表现在数列可以递推,而一般的函数不行。笔者对探究式的发现问题、研究问题、解决问题的过程做了典型示范。
关键词 数列 类型 解答 整数集合 典型示范 函数 探究式
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Optimal Spectrum Sensing in Energy Harvesting Cognitive Radio Systems 被引量:4
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作者 QU Zhaowei SONG Qizhu YIN Sixing 《China Communications》 SCIE CSCD 2014年第5期83-90,共8页
In this paper,we consider a cognitive radio system with energy harvesting,in which the secondary user operates in a saving-sensing-transmitting(SST) fashion.We investigate the tradeoff between energy harvesting,channe... In this paper,we consider a cognitive radio system with energy harvesting,in which the secondary user operates in a saving-sensing-transmitting(SST) fashion.We investigate the tradeoff between energy harvesting,channel sensing and data transmission and focus on the optimal SST structure to maximize the SU's expected achievable throughput.We consider imperfect knowledge of energy harvesting rate,which cannot be exactly known and only its statistical information is available.By formulating the problem of expected achievable throughput optimization as a mixed-integer non-linear programming one,we derive the optimal saveratio and number of sensed channels with indepth analysis.Simulation results show that the optimal SST structure outperforms random one and performance gain can be enhanced by increasing the SU's energy harvesting rate. 展开更多
关键词 cognitive radio spectrum sensing energy harvesting
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Impact and Benefits of Micro-Databases' Integration on the Statistics of the Banco de Portugal
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作者 Paula Menezes Luis D'Aguiar 《Journal of Mathematics and System Science》 2014年第4期251-256,共6页
Data are critically important to good decision-making. In an increasingly complex economy, conventional data collecting schemes are no longer sufficient. To deal with the challenge of maintaining its statistics releva... Data are critically important to good decision-making. In an increasingly complex economy, conventional data collecting schemes are no longer sufficient. To deal with the challenge of maintaining its statistics relevant to the users in an ever-shifting environment, the Banco de Portugal decided to explore the largely unused statistical potential of the available micro-databases and to integrate the existing administrative and survey data, thus enhancing the basic information infrastructure while protecting confidentiality. This presentation will address the benefits and problems to be dealt with when two or more data-sources are to be integrated. 展开更多
关键词 Micro-data INFRASTRUCTURE INTEGRATION knowledge
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Integrating Data Mining Into Managerial Accounting System: Challenges and Opportunities
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作者 Yihan Wang Zhenkun Wang 《Chinese Business Review》 2016年第1期33-41,共9页
Data mining involves extracting information from large data sets, discovering the hidden relationships and unknown dependencies, and supporting strategic decision-making tasks. The alignment of data mining and busines... Data mining involves extracting information from large data sets, discovering the hidden relationships and unknown dependencies, and supporting strategic decision-making tasks. The alignment of data mining and business would bring benefits to the organization's management. The study investigated the adoption of data mining technologies in managerial accounting system, concentrating on the challenges and opportunities. The research showed that with the technology adoption, managerial functions could be improved and current information system could be upgraded. Since the technical progresses are reshaping the world of business and accountancy, it is significant for accountants and finance professionals to exploit information technologies. 展开更多
关键词 data mining management accounting accounting information system
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Measure Estimates of Nodal Sets of Polyharmonic Functions 被引量:1
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作者 Long TIAN 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2018年第5期917-932,共16页
This paper deals with the function u which satisfies△k_u = 0, where k≥2 is an integer. Such a function u is called a polyharmonic function. The author gives an upper bound of the measure of the nodal set of u, and s... This paper deals with the function u which satisfies△k_u = 0, where k≥2 is an integer. Such a function u is called a polyharmonic function. The author gives an upper bound of the measure of the nodal set of u, and shows some growth property of u. 展开更多
关键词 Polyharmonic function Nodal set Frequency Measure estimate Growthproperty
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