首页 | 本学科首页   官方微博 | 高级检索  
相似文献
 共查询到20条相似文献,搜索用时 46 毫秒
1.
本文利用代数的基分解的方法 ,对一类特殊的环 Zpr中的元进行 p-基分解 ,找到了环 Zpr上多值逻辑函数的多项式表示 ,并由此分析了环 Zpr上相关免疫且平衡的多值逻辑函数的代数结构 .  相似文献   

2.
多值逻辑是人工智能中一个重要的研究方向。为了进一步深入研究多值逻辑,特别是真值基于格上的多值逻辑,文献「1」提出并提建立了格蕴涵代数这一逻辑代数结构,进而研究了对应的格值逻辑系统。本文则集中讨论了一类较特殊但也较广泛的格蕴涵代数,即内射的格蕴涵代数,深入探讨了这类代数和一些性质并给出了其特征结构的刻画。  相似文献   

3.
将 M bius反演公式推广到一般的惟一分解半群上 ,在建立了 n维整点与 n次代数整数环的环同构的基础上利用广义函数得到了高维 Fourier系数与M bius函数之间的一般关系 .它是一维算术 Fourier变换 (Arithmetic FourierTransform简称 AFT)在高维的自然推广 .  相似文献   

4.
将Mobius反演公式推广到一般的惟一分解半群上,在建立了n维整点与n次代数整数环的环同构的基础上利用广义函数得到了高维Fourier系民Mobius函数之间的一般关系。它是一维算术Fourier变换(Arithmetic FourierTransform简称AFT)在高维的自然推广。  相似文献   

5.
代数体函数的因子分解   总被引:1,自引:0,他引:1  
本文阐述了代数体函数的因子分解之概念,并讨论了周期代数体函数与非常数多项式的和、积之因子分解。证明有穷下级周期整代数体函数与非常数多项式之和是左素的。  相似文献   

6.
徐运阁  赵体伟  吴迪 《数学学报》2016,59(4):505-518
基于Furuya构造的一个cluster-tilted代数的极小投射双模分解,定义了该投射分解的所谓"余乘"结构,从而证明了该代数的Hochschild上同调环的cup积本质上是平行路的毗连并由此得到了该代数的Hochschild上同调环的一个由生成元与关系给出的实现.  相似文献   

7.
祝辉林  陈建华 《数学研究》2009,42(2):117-125
使用代数数论和p-adic分析,我们找到了椭圆曲线y^2=x^3+27x-62上所有的整数点.我们给出了一个全虚四次域的子环上计算基本单位和二次代数数“不相关分解”的方法.  相似文献   

8.
本文研究了整数环的一个代数扩环的性质.利用最优化理论证明了这个代数扩环是一个欧氏环,给出了它的单位和素元的刻画,得到了对这个代数扩环中任意素进行素因子分解的方法.  相似文献   

9.
阐明给定代数函数域上一些除子的Riemann-Roch空间是代数几何码构造的基础.给出代数函数域的一些Artin-Schreier型扩张的Riemann-Roch空间的一组基,并应用于编码理论,得到F_(16)上参数分别是[54,43,5],[54,41,7],[54,40,8]的代数几何码.  相似文献   

10.
设R是交换Noether环,R[X]是R上n个变元的多项式环,其中X=(x1,…,xn),I是R[X]的理想,Zer(I)是R上的以I中的每个多项式为线性递归关系的n维阵列组成的集合,本文利用同调代数的观点,给出Zer(I)中阵列的代数表示,这些表示是域上序列的迹、母函数、状态矩阵等表示在形式和作用范围等方面的提炼、综合和推广,运用新的代数表示,并利用Groebner基理论,本文给出构造Zer(I)生成元的算法。  相似文献   

11.
We develop for the queue Mx/M/c an upper bound for the mean queue length and lower bounds for the delay probabilities (that of an arrival group and that of an arbitrary customer in the arrival group). An approximate formula is also developed for the general bulk-arrival queue GIx/G/c. Preliminary numerical studies have indicated excellent performance of the results.  相似文献   

12.
刘修生 《数学杂志》2016,36(5):981-986
本文研究了环Fpm+uFpm+u2Fpm上长度为ps的循环码分类.通过建立环Fpm+uFpm+u2Fpm到环Fpm+uFpm的同态,给出了环Fpm+uFpm+u2Fpm上长度为ps的循环码的新分类方法.应用这种方法,得到了环Fpm+uFpm+u2Fpm长度为ps的循环码的码词数.  相似文献   

13.
We previously introduced and analyzed the G t /M t /s t +GI t many-server fluid queue with time-varying parameters, intended as an approximation for the corresponding stochastic queueing model when there are many servers and the system experiences periods of overload. In this paper, we establish an asymptotic loss of memory (ALOM) property for that fluid model, i.e., we show that there is asymptotic independence from the initial conditions as time t evolves, under regularity conditions. We show that the difference in the performance functions dissipates over time exponentially fast, again under the regularity conditions. We apply ALOM to show that the stationary G/M/s+GI fluid queue converges to steady state and the periodic G t /M t /s t +GI t fluid queue converges to a periodic steady state as time evolves, for all finite initial conditions.  相似文献   

14.
Let m and n be integers at least two and R be a nonzero natural number. In this paper, we study the problem of the determination of the proper solutions of the Diophantine equation x m y m equals; Rz n . We raise a question concerning the existence of any proper nontrivial solution of this equation, in case some precise conditions are satisfied by the triple (m, n, R). We prove some results about it.  相似文献   

15.
Multilevel processor sharing scheduling disciplines have recently been resurrected in papers that focus on the differentiation between short and long TCP flows in the Internet. We prove that, for M/G/1 queues, such disciplines are better than the processor sharing discipline with respect to the mean delay whenever the hazard rate of the service time distribution is decreasing.  相似文献   

16.
We investigate the asymptotic behavior of solutions of a separable difference equation of the form
  相似文献   

17.
In this paper, we study a Ck/Cm/1/N open queueing system with finite capacity. We investigate the property which shows that a product of the Laplace Stieltjes Transforms of interarrival and service times distributions satisfies an equation of a simple form. According to this equation, we present that the stationary probabilities on the unboundary states can be written as a linear combination of vector product-forms. Each component of these products is expressed in terms of roots of an associated characteristic polynomial. As a result, we carry out an algorithm for solving stationary probabilities in Ck/Cm/1/N systems, which is independent of N, hence greatly reducing the computational complexity.  相似文献   

18.
19.
The matrix least squares (LS) problem minx ||AXB^T--T||F is trivial and its solution can be simply formulated in terms of the generalized inverse of A and B. Its generalized problem minx1,x2 ||A1X1B1^T + A2X2B2^T - T||F can also be regarded as the constrained LS problem minx=diag(x1,x2) ||AXB^T -T||F with A = [A1, A2] and B = [B1, B2]. The authors transform T to T such that min x1,x2 ||A1X1B1^T+A2X2B2^T -T||F is equivalent to min x=diag(x1 ,x2) ||AXB^T - T||F whose solutions are included in the solution set of unconstrained problem minx ||AXB^T - T||F. So the general solutions of min x1,x2 ||A1X1B^T + A2X2B2^T -T||F are reconstructed by selecting the parameter matrix in that of minx ||AXB^T - T||F.  相似文献   

20.
Let S be a fixed finite symmetric subset of SL d (Z), and assume that it generates a Zariski-dense subgroup G. We show that the Cayley graphs of π q (G) with respect to the generating set π q (S) form a family of expanders, where π q is the projection map ZZ/q Z.  相似文献   

设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号