共查询到20条相似文献,搜索用时 93 毫秒
1.
赵院娥 《纯粹数学与应用数学》2006,22(2):163-166
设f(n)为任一数论函数,本文的主要目的是引入一类新的可乘函数g f(n),其定义如下:当n=1时,g f(1)=1;对任意素数p及正整数α≥1,定义g f(pα)=pf(α),并给出其均值的两个有趣的渐近公式. 相似文献
2.
以中国剩余定理在密码学中的应用为例,引入课题化教学方法.将理论教学、应用实践和科学研究融为一体,形成了立体化的教学结构. 相似文献
3.
张文鹏 《数学年刊A辑(中文版)》1996,(1)
设正整数n≥ 3,对任一整数1≤a≤n-1且(a,n)=1,显然存在唯一的整数1≤(?)≤n-1使得a(?)≡1(mod n).本文的主要目的是研究差式|a-(?)|的分布性质,给出均值函数:M(n,k)≡sum fron a=1 to n-1(1/n)|a-(?)|~(2k 1)的一个较强的渐近公式. 相似文献
4.
一些新的数论函数及其均值公式 总被引:1,自引:0,他引:1
徐哲峰 《数学的实践与认识》2006,36(8):300-303
对于给定的自然数m,我们利用最大公约数和最小公倍数定义数论函数(m,n)和[m,n]/m.本文主要目的是研究这两个新的函数的渐近性质,利用解析方法得到这两个函数的几个渐近公式. 相似文献
5.
马俊青 《纯粹数学与应用数学》2005,21(3):229-233
对于给定的自然数q,我们利用最小公倍数定义一个新的数论函数g(n)=[q,n]/q.本文的主要目的是研究δm(g(n))的均值性质,并利用解析方法得到这个函数的几个渐近公式. 相似文献
6.
受现实生活的一个案例形成的随机覆盖问题之启发,我们在本文中讨论并比较了统计模拟中的几种方法,包括ELP网、NT网与其他网.我们给出的一些结果对统计模拟是有用的. 相似文献
7.
量子Grover算法及其应用 总被引:3,自引:1,他引:2
杜治国 《数学的实践与认识》2006,36(6):313-317
深入剖析了G rover算法,最后将其应用于经典密码学,对序列密码和分组密码等进行了攻击和分析. 相似文献
8.
设p是素数且3是p8722;1的因子, 证明了一个归约结果:有限域GF(pm) (m是任意的正整数)上周期为3n (n与m互素)的序列的线性复杂度的计算可以简化成3个周期为n序列的线性复杂度的计算. 通过结合一些已知的算法如Games-Chan算法, Berlekamp-Massey算法,Xiao-Wei-Lam-Imamura算法, 可以更快速计算在GF (pm)上任意周期为3n序列的线性复杂度. 相似文献
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10.
常见的离散Fourier变换(DFT)的推广均定义在一个交换环上。我们在[1]、[2]中给出了DFT在一类非交换环上的推广(FGFT),并将它应用于一些快速线性计算问题。本文将不加证明地列出这些快速算法的并行计算效率。结果表明,这些计算问题亦具有很好的并行性。 相似文献
12.
Guillermo Cortiñas 《K-Theory》2000,20(2):175-200
We study a noncommutative version of the infinitesimal site of Grothendieck. A theorem of Grothendieck establishes that the cohomology of the structure sheaf on the infinitesimal topology of a scheme of characteristic zero is de Rham cohomology. We prove that, for the noncommutative infinitesimal topology of an associative algebra over a field of characteristic zero, the cohomology of the structure sheaf modulo commutators is periodic cyclic cohomology. We also compute the noncommutative infinitesimal cohomology of other sheaves. For example, we show that infinitesimal hypercohomology with coefficients in K-theory gives the fiber of the Jones–Goodwillie character which goes from K-theory to negative cyclic homology. 相似文献
13.
The notion of mixed quermassintegrals in the classical Brunn-Minkowski theory is extended to that of Orlicz mixed quermassintegrals in the Orlicz Brunn-Minkowski theory. The analogs of the classical CauchyKubota formula, the Minkowski isoperimetric inequality and the Brunn-Minkowski inequality are established for this new Orlicz mixed quermassintegrals. 相似文献
14.
《Computational Mathematics and Mathematical Physics》2020,60(4):541-544
Computational Mathematics and Mathematical Physics - 相似文献
15.
We determine some relevant structural properties of the group of lattice automorphisms of a nonperiodic modular group. 相似文献
16.
PENG ChiaKuei 《中国科学 数学(英文版)》2010,(1)
Let M be a closed oriented surface immersed in R4 . Associated it one has the generalized Gauss map from M into the Grassmann manifold G 4,2 . This note will be concerned with the geometry of the generalized Gauss map by using the moving frame theory and the quaternion interpretation of Plcker coordinates. As one of consequences,we get the celebrated theorem of Chern and Spanier,Hoffman and Osserman,who proved it by quite different methods. At last,we give an explicit construction of a series of immersions of S2 in R4 with any given normal Euler number. 相似文献
17.
Let(E, F) be a complex Finsler vector bundle over a compact Khler manifold(M, g) with Khler form Φ. We prove that if(E, F) is a weakly complex Einstein-Finsler vector bundle in the sense of Aikou(1997),then it is modeled on a complex Minkowski space. Consequently, a complex Einstein-Finsler vector bundle(E, F) over a compact Khler manifold(M, g) is necessarily Φ-semistable and(E, F) =(E_1, F_1)⊕…⊕(E_k, F_k),where Fj := F |Ej, and each(Ej, Fj) is modeled on a complex Minkowski space whose associated Hermitian vector bundle is a Φ-stable Einstein-Hermitian vector bundle with the same factor c as(E, F). 相似文献
18.
基于复数理论的同异型联系数及其应用 总被引:2,自引:0,他引:2
王霞 《数学的实践与认识》2005,35(8):127-132
虽然联系数中的i与复数中的i有不同的含义,但所定义的同异型联系数与复数在形式上完全相同.为此,依据复数理论给出了同异型联系数的三角函数与指数函数两种表述形式及其互相转换,举例说明其应用,从而为发展联系数理论提供了新的途径. 相似文献
19.
Dedication
Dedicated to Professor Paul L. Butzer for his 70th birthday. 相似文献20.
Nathalie Sinclair Rina Zazkis Peter Liljedahl 《International Journal of Computers for Mathematical Learning》2003,8(3):235-263
Recent research demonstrates that many issues related to the structure of natural numbers and the relationship among numbers
are not well grasped by students. In this article, we describe a computer-based learning environment called Number Worlds that was designed to support the exploration of elementary number theory concepts by making the essential relationships and
patterns more accessible to learners. Based on our research with pre-service elementary school teachers, we show how both
the visual representations embedded in the microworld, and the possibilities afforded for experimentation affect learners'
understanding and appreciation of basic concepts in elementary number theory. We also discuss the aesthetic and affective
dimensions of the research participants' engagement with the learning environment.
This revised version was published online in July 2006 with corrections to the Cover Date. 相似文献