共查询到19条相似文献，搜索用时 343 毫秒
1.
《佳木斯教育学院学报》2016,(1)
和为偶数N的奇数对可分为三种情况,第一种是奇合数对(这里把1看做奇合数);第二种是1个是奇合数、1个是奇素数的奇数对;第三种是奇素数对.小于N的奇合数的大约个数可以根据奇合数所含的因数情况来求出,和为N的奇合数对的大约个数也可以根据奇合数对所含的因数情况来求出,小于N的奇合数除两两组成和为N的奇合数对外,其余只能与小于N的奇素数组成和为N的奇数对.求出前两种和为N的奇数对的大约个数,就能求出和为N的奇素数对的大约个数. 相似文献
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《佳木斯教育学院学报》2017,(10)
在《和为偶数的奇素数对的个数》中讨论了和为形如2的n次方的偶数的奇素数对的个数以及和为形如2·3·5·7·11···P的偶数的奇素数对的个数.本文继续讨论和为偶数的奇素数对的个数,探讨和为介于上述两种偶数之间的偶数的奇素数对的个数,用确切数据证明哥德巴赫猜想. 相似文献
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刘会民 《数学学习与研究(教研版)》2013,(3):108
全体偶数是公差为2的无穷等差数列,做适当的分类和分级后展现的某些性质,可以作为一些(有关偶数Ne的)重要命题分析论证的依据,且能对下面三个命题给出清晰明确的解析论证:(1)相同素因子偶数系的偶数元素表为两个奇素数之和的表法个数r2(Ne)随所在的级数一致增长.(2)同一级的偶数元素中,形如2n的偶数或2npi的超常偶数,表为两个奇素数之和的表法个数r2(2n)或r2(2npi) 相似文献
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本文根据素数分布理论,运用初等数论的方法,给出了n~2与(n 1)~2之间奇合数(不含n~2和(n 1)~2)个数的一个表示式:及奇合数个数的粗略估计式:p_a=1 [n/3] [n/5] …[n/p]-[n/3×5]-…十…[n/3×5×7].(其中[a]是不超过a的最大整数,p是不超过n的最大奇素数,n∈N,n≥4).证明了:r_n=N—k,k是满足2~k≤n<2~(k 1)的自然数.并猜想:1)R_a≤r_n(n≥4);2)对任意n(n≥3)个无区别的小圆圈并列一行,用不超过n的所有奇素数P,相隔p—1个小圆圈划一个小圆圈,奇素数不重复用,则按照这个规定,这一行n个小圆圈不管怎么划,至少有两个小圆圈不能被划.易验证,若这两个猜想有一定成立,则杰波夫想得到证明. 相似文献
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李应熙 《中国教育科研与探索》2008,(4)
jm为奇数,jn=jm＋2。Pa、P6是奇素数,P6等于、大干Pa,Pb＋Pa素数和的个数随[jm2,jn2-1]区间的扩展而增加,增加的幅度比区间偶数个数的增加大的多,从而建立了素数和分布规律,运用这个规律,证明了哥德巴赫猜想是肯定的。 相似文献
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哥德巴赫猜想认为，凡大于4的偶数，一定等于两个奇素数之和。但我们通过计算和论证，认为该猜想对于相当大的偶数并不是总能成立的。 相似文献
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本通过对直角三角形边与整数的研究，提出了斜边为奇素数、直角边为整数时，三角形个数的问题，并运用2n 1=P和数列给出了证明。 相似文献
10.
吴新生 《安徽广播电视大学学报》2002,(4):85-90
孪生素数即是p+2形的素数问题.证明级数是发散的,推导出p+2形的素数个数是无限的.p+2可能是一个奇素数,也可能是一个奇合数,这实在是一个随机事件.为了估计p+2形的素数个数,用孪生素数的比率P(P1)=3/5及第二素数概率P(G)～2/lnn建立一个随机抽样的数学模型,得p≤ n p＋ 2=p 1 相似文献
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顾江民 《商丘师范学院学报》2010,26(9)
引入集合的纯偶划分数,给出了一些它的性质,用纯偶划分数得到了伯努利数的一种表示形式,得到正切数的一种递归表示,指出正切数与二进多项式的一个关系式. 相似文献
13.
Solitons emerge as non-perturbative solutions of non-linear wave equations in classical and quantum theories. These are non-dispersive
and localised packets of energy — remarkable properties for solutions of non-linear differential equations. In the presence
of such objects, the solutions of Dirac equation lead to the curious phenomenon of ‘fractional fermion number’. Under normal
conditions the fermion number takes strictly integral values. In this article, we describe this accidental discovery and its
manifestation in polyacetylene chains, which has led to the development of organic conductors.
(left) Kumar Rao is a Postdoctoral Fellow at PRL, Ahmedabad. He is interested in particle physics phenomenology as probed
in particle colliders and formal aspects of quantum field theory.
(right) Narendra Sahu is currently a postdoctoral fellow at Lancaster University, UK. His main research area includes Cosmology
and Astroparticle physics. Currently he is working on dark matter and matter anti-matter asymmetry of the universe.
(center) P K Panigrahi’s research interests are in the area of quantum computation, solitons in Bose Einstein condensates
& nonlinear optical media. He is also deeply interested in science education and derives pleasure from long weekend walks. 相似文献
14.
Drawing on results from psychology and from cultural and linguistic studies, we argue for an increased focus on developing
quantity sense in school mathematics. We explore the notion of “feeling number”, a phrase that we offer in a twofold sense—resisting
tendencies to feel numb-er (more numb) by developing a feeling for numbers and the quantities they represent. First, we distinguish
between quantity sense and the relatively vague notion of number sense. Second, we consider the human capacity for quantity
sense and place that in the context of related cultural issues, including verbal and symbolic representations of number. Third
and more pragmatically, we offer teaching strategies that seem helpful in the development of quantity sense coupled with number
sense. Finally, we argue that there is a moral imperative to connect number sense with such a quantity sense that allows students
to feel the weight of numbers. It is important that learners develop a feeling for number, which includes a sense of what
numbers are and what they can do. 相似文献
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M. Ram Murty 《Resonance》2013,18(9):789-798
J E Littlewood (1885–1977) was a British mathematician well known for his joint work with G H Hardy on Waring’s problem and the development of the circle method. In the first quarter of the 20th century, they created a school of analysis considered the best in the world. Littlewood firmly believed that research should be offset by a certain amount of teaching. In this exposition, we will highlight several notable results obtained by Littlewood in the area of number theory. 相似文献
19.
V. Chandrasekar 《Resonance》1998,3(8):33-45
In Mathematics, especially number theory, one often comes across problems which arise naturally and are easy to pose, but whose solutions require very sophisticated methods. What is known as ‘The Congruent Number Problem’ is one such. Its statement is very simple and the problem dates back to antiquity, but it was only recently that a breakthrough was made, thanks to current developments in the Arithmetic of elliptic curves, an area of intense research in number theory. 相似文献