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 104 毫秒
1.
介绍了Pre-Lie超代数的超θ-算子以及其与超S-方程解的关系,并引出了超θ-算子背后的代数结构,即L-dendriform超代数.研究了L-dendriform超代数、dendriform超代数和Pre-Lie超代数之间的关系.  相似文献   

2.
在有界超格上引入微分,研究了有界超格上微分的一些性质.定义并研究了微分超格的微分超理想和微分超同余,并证明了如果$(L,d)$是一个有界强单微分超格并且$R$是$(L,d)$的一个强微分同余,则$(L/R,g)$仍是一个强单微分超格,其中$g$是由$d$诱导的商超格上的单强微分.  相似文献   

3.
利用模糊化方法,引入了超格的模糊超理想,给出了它的等价刻画;其次,在超格同态意义下,讨论了模糊超理想和生成模糊超理想的像与原像;最后,引入了素模糊超理想,研究了它们的拓扑结构。  相似文献   

4.
本文首先给出了超空间上高阶Cauchy-Pompeiu公式,然后由超空间上微分算子之间的缠绕关系,分别讨论了正则函数和k-正则函数及调和函数和k-调和函数之间的关系.最后,得到超空间上Cauchy-Riemann型方程.  相似文献   

5.
本文在序超半群中引入了极小左超理想和极大左超理想的概念, 并讨论了它们的一些相关性质. 进一步地, 引入了序超半群的弱素左超理想、拟素左超理想、拟半素左超理想及弱拟素左超理想的概念, 并讨论这四种素超理想之间的关系. 而且通过左超理想和弱~$m$-系刻画了序超半群的弱拟素左超理想. 同时, 借助于$m$-系对序超半群的拟素左超理想给出刻画. 尤其证明了序超半群$S$是强半单的当且仅当$S$的每个左超理想是$S$的包含它的所有拟素左超理想的交.  相似文献   

6.
给出L-拓扑空间的单点超F紧化的一种具体作法,以及局部超F紧性的定义,并证明了:(1)局部超F紧性是L-好推广;(2)一个L-拓扑空间是局部超F紧T2空间当且仅当其单点超F紧化空间是超F紧T2空间;(3)单点超F紧化在同胚意义下是唯一的。  相似文献   

7.
讨论了超连续domain与拟超连续domain的相关性质,证明了超连续半格范畴为有性质M*的拟超连续domain范畴的反射子范畴。  相似文献   

8.
对超半环上的直觉模糊子集进行讨论.首先在超半环上给出有边界值的直觉模糊超理想,对其部分性质进行研究.其次给出正则超半环和内禀正则超半环的概念,利用有边界值的直觉模糊超理想对这两种超半环进行刻画,得到若干刻画定理.  相似文献   

9.
杨春鹏 《数学学报》1998,41(4):811-816
本文对超扩散过程定义了超空时调和函数并讨论了它们的某些性质,在此基础上建立了一类非线性抛物方程的正解与超空时调和函数之间的对应关系.  相似文献   

10.
引入超环的正规模糊超理想概念,利用其刻画超环的模糊同构定理.  相似文献   

11.
宏观因素影响下的系统中元件重要性研究   总被引:9,自引:0,他引:9  
为研究复杂系统在工作环境中其组成元件对系统安全运行的重要性,将汪培庄先生的因素空间理论与笔者提出的空间事故树理论相结合,构造了一套元件重要性研究方法.构建系统T={U,C,D},将元件作为研究对象集合U,系统工作的宏观环境作为因素集C,元件重要性排序集作为D.对宏观环境中的工作时间a1和温度a_2进行划分形成不同的状态区域S_q,计算在S_q中元件xj的失效权重γ(AS_q(x_j))和在S_q中系统T的失效权重δ(AS_q(T))),从而得到x_j在S状态下的等效失效权重Z(AS_q(x_j)),研究状态S_q下的原件重要性排序D_η,及元件x_j失效性对a_1及a_2的敏感性.使用一个实际的电气系统维修情况统计资料,使用上述方法进行了研究,结果表明:不同工作环境下元件对系统的重要程度是不同的.元件对温度和使用时间是敏感的,并得到了在1030°且5030°且5075d环境下工作系统可靠性是最高的结论.在给定工作环境下,重要性大的元件多储备,重要性小的元件少储备,以满足系统维修需要,并指导实际工程.  相似文献   

12.
An algorithm is proposed for solving the Signorini problem /1/ in the formulation of a unilateral variational problem for the boundary functional in the zone of possible contact /2/. The algorithm is based on a dual formulation of Lagrange maximin problems for whose solution a decomposition approach is used in the following sense: a Ritz process in the basis functions that satisfy the linear constraint of the problem, the differential equation in the domain, is used in solving the minimum problem (with fixed Lagrange multipliers); the maximum problem is solved by the method of descent (a generalization of the Frank-Wolf method) under convexity constraints on the Lagrange multipliers. The algorithm constructed can be conisidered as a modification of the well-known algorithm to find the Udzawa-Arrow-Hurwitz saddle points /3, 4/. The convergence of the algorithm is investigated. A numerical analysis of the algorithm is performed in the example of a classical contact problem about the insertion of a stamp in an elastic half-plane under approximation of the contact boundary by isoparametric boundary elements. The comparative efficiency of the algorithm is associated with the reduction in the dimensionality of the boundary value problem being solved and the possibility of utilizing the calculation apparatus of the method of boundary elements to realize the solution.  相似文献   

13.
This paper is concerned with the Cauchy problem of the Burgers equation with the critical dissipation. The well-posedness and analyticity in both of the space and the time variables are studied based on the frequency decomposition method. The large time behavior is revealed for any large initial data. As a result, it is shown that any smooth and integrable solution is analytic in space and time as long as time is positive and behaves like the Poisson kernel as time tends to infinity. The corresponding results are also obtained for the quasi-geostrophic equation.  相似文献   

14.
田口先生提出的质量特性损失函数是用二次项来表示的,对于望大特性而言,质量特性实际上不可能达到无穷大。讨论了不能忽略一次项损失时,望大特性质量损失函数应采用二次式表示。研究了二次式损失函数中一次项损失系数和二次项损失系数确定的方法。比较分析了二次式损失函数中一次项损失和二次项损失的大小。本文的研究结果显示,田口先生经典的二次项损失函数是二次式损失函数的一种形式。实际问题也验证了本文的研究成果。  相似文献   

15.
The risk influence function is defined as the directional derivative of the risk of the Bayes rule. The properties of this function are studied and the relationship between unimodal prior distribution and the shape of the frequentist risk of the corresponding Bayes procedure is examined.  相似文献   

16.
The aim of this paper is to study the convergence of two proximal algorithms via the notion of (α, r)-relaxed cocoercivity without Lipschitzian continuity. We will show that this notion is enough to obtain some interesting convergence theorems without any Lipschitz-continuity assumption. The relaxed cocoercivity case is also investigated.  相似文献   

17.
For the integrodifferential viscoelasticity equations, we study the problem of determining the coefficients of the equations and the kernels occurring in the integral terms of the system of equations. The density of the medium is assumed to be given. We suppose that the inhomogeneity support of the sought functions is included in some compact domain B 0. We consider a series of inverse problems in which an impulse source is concentrated at the points y of the boundary of B 0. The point y is the parameter of the problem. The given information about the solution is the trace of the solution to the Cauchy problem with zero initial data. This trace is given on the boundary of B 0 for all y ∈ ?B 0 and for a finite time interval. The main result of the article consists in obtaining uniqueness theorems for a solution to the initial inverse problem.  相似文献   

18.
The Cauchy problem of the Euler equations in the whole space is considered with non-decaying initial velocity in the frame work of . It is proved that if the initial velocity is real analytic then the solution is also real analytic in spatial variables. Furthermore, a new estimate for the size of the radius of convergence of Taylor's expansion is established. The key of the proof is to derive the suitable estimates for the higher order derivatives of the bilinear terms. It is also shown the propagation of the almost periodicity in spatial variables.  相似文献   

19.
在总结协调发展水平测算时应该注意的一些问题的基础上,提出建立PLSPM-GIA模型对3E系统协调发展水平进行估算。首先设计3E系统综合发展指标体系,运用PLS路径模型对中国1996-2014年的各系统的综合发展水平进行了计算,然后利用灰色关联模型度量了系统协调度,最后综合考虑系统的发展水平和协调水平,得出系统的协调发展水平。研究表明:①PLSPM-GIA模型能够弥补现有方法的缺陷,而且适用于系统协调发展水平的测度;②从发展水平来看,由高到低依次为经济子系统、能源子系统和环境子系统;③从系统的协调度来看,2005年之前能源经济子系统和能源环境子系统的协调度先上升后缓慢下降,由于受到经济环境子系统协调度缓慢下降的影响,3E系统协调度呈缓慢下降态势,2005年以后3E系统及其子系统的协调度下降趋势明显;④从协调发展水平来看,目前除经济环境子系统外,3E系统和其他子系统均处于轻度失调状态。  相似文献   

20.
The accuracy of the projection method as applied to the computation of the collision integral is analyzed. It is shown that the method has an error of the second order of smallness with respect to the mesh size. An optimal method for choosing additional nodes that minimizes the computational error is found. The theoretical conclusions and the optimality of the method are confirmed in a series of numerical experiments.  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