共查询到20条相似文献，搜索用时 46 毫秒
1.
顾江民 《渭南师范学院学报》2013,(12):5-9
引入集合的纯偶排列数,给出了纯偶排列数的一些性质,用纯偶排列数得到了Euler数及正切数的一种简洁的表示形式,利用Akiyama-Tanigawa算法给出了Euler数表,并且给出Euler数几个同余式. 相似文献
2.
Bernoulli数的两种新型表示 总被引：1，自引：0，他引：1
引入纯偶分拆数,并给出递推公式,用纯偶分拆数得到了Bernoulli数的一种表示形式,并给出Bernoulli数的一种新的递归公式. 相似文献
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本文给出了一个反正切方程的代数解法及几何解法,从中可得到一系列反正切等式和结论,将原题从不同角度进行推广和改编,证明了一个由Fibonacci数的性质得到的反正切等式. 相似文献
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及万会 《开封教育学院学报》1990,(1)
本文利用多项式的根与系数之间关系及牛顿公式给出角为等差数列的一类余切,正切三角函数偶次幂之和计算公式、公式的优点在于,不必知道每个三角函数值,而它们的余切,正切函数的偶次幂可用公式算出。 相似文献
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介绍了卡塔兰数的来由,用解析方法证明了有关卡塔兰数的一个结论 ,给出了卡塔兰常数的积分表示形式,得到了包含卡塔兰常数的一种计算公式。 相似文献
7.
关于两角和与两角差的正切函数公式,一般三角学课本中都是从两角和的正弦两数公式和余弦函数公式导出,这种证明方法是比较简单的,也是学生容易接受的。但是,在定义三角两数时,我们既然采用了分别定义正弦、余弦、正切和余切这四种三角函数的方法,那末在讲加法定理的时候,是否也可以直接利用正切函数的定义来论证两角和与两角差的正 相似文献
8.
《洛阳师范学院学报》2019,(8):1-4
最佳屏蔽二进阵列偶是一种新型的具有良好特性的离散信号,在工程中有广泛运用.本文运用傅里叶变换、有限群的表示等方法,给出了一种构造最佳屏蔽二进阵列偶的新方法. 相似文献
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本文从正切二倍角公式的数学结构出发,区别于正切二倍角公式的传统应用,做出了新的尝试.在几种题型的解决过程中巧妙借助正切二倍角公式,给出了新的思路;从正切二倍角公式出发推广得到正切n倍角公式,拓展了应用范围. 相似文献
10.
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
11.
《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
12.
《佳木斯教育学院学报》2016,(7)
本续篇根据素数定理和有关无穷乘积,再度演化和为偶数的奇素数对的个数的求解公式,得出:和为偶数N的奇素数对的个数大于2N/πln2N,并且举几例比较结果.哥德巴赫猜想应该是和为偶数N的奇素数对的个数为1的一个特例。 相似文献
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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
15.
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
20.
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