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1.
本文对多元多项式齐次方程组给出一种解法,并给出其解子模的基所含向量的个数在最坏情况时的下界。 相似文献
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巫世权 《应用数学学报(英文版)》1996,12(3):289-299
SOLUTIONOFARESEARCHPROBLEMWUSHIQUAN(巫世权)(DepartmentofMathematics,NationalUniversityofTechnology,Changsha410073,China)Abstract... 相似文献
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In this paper we present some new results on the connection between the Siegel norm, the length function and irreducible character values of finite groups. In addition, we provide algorithms to compute the length of a cyclotomic integer and the set of cyclotomic integers with Siegel norm bounded by a given positive real number. 相似文献
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§1. IntroductionTofindthegeneraltermformulaofcalculatingwasanoldestprobleminNumberTheory.Earlyin300B.C.,Archimedo,themathematicianofancientGreece,workedouttheformula∑nk=1k=n(n+1)2and∑nk=1k2=n(n+1)(2n+1)6.Sofar,peoplehavegotmanyformsofepressionofthege… 相似文献
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For any arrangement of hyperplanes in ℂℙ3, we introduce the soul of this arrangement. The soul, which is a pseudo-complex, is determined by the combinatorics of the
arrangement of hyperplanes. In this paper, we give a sufficient combinatoric condition for two arrangements of hyperplanes
to be diffeomorphic to each other. In particular we have found sufficient conditions on combinatorics for the arrangement
of hyperplanes whose moduli space is connected. This generalizes our previous result on hyperplane point arrangements in ℂℙ3.
This work was partially supported by NSA grant and NSF grant 相似文献
7.
For any arrangement of hyperplanes in CP~3,we introduce the soul of this arrangement. The soul,which is a pseudo-complex,is determined by the combinatorics of the arrangement of hyper- planes.In this paper,we give a sufficient combinatoric condition for two arrangements of hyperplanes to be diffeomorphic to each other.In particular we have found sufficient conditions on combinatorics for the arrangement of hyperplanes whose moduli space is connected.This generalizes our previous result on hyperplane point arrangements in CP~3. 相似文献
8.
《Discrete Mathematics》2022,345(9):112968
Let be the collection of sets of real numbers of size n, in which every subset of size larger than k has a sum less than m, where , and m is some real number. Denote by the maximum number of nonempty subsets of a set in with a sum at least m. In particular, when , Alon, Aydinian, Huang ((2014) [1]) proved that , where two technical proofs, based on a weighted version of Hall's theorem and an extension of the nonuniform Erd?s–Ko–Rado theorem, were presented. In this note, we extend their elegant result from to any real number m, and show that . Our proof is obtained by exploring the recurrence relation and initial conditions of . 相似文献
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Michael Deutsch 《Mathematical Logic Quarterly》1994,40(3):422-424
We sketch proofs of the theorems of Church-Turing and Trachtenbrot using a semi-monomorphic axiomatization. Mathematics Subject Classification : 03B10, 03B25. 相似文献
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本文证明了n阶恰含i个极小强连通分支的有向图的幂敛指数的一个Brualdi-Ross型上界,并给出了幂敛指数达到此上界的有向图的完全刻划。 相似文献
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用AHP法建立教学质量评估体系 总被引:3,自引:0,他引:3
以AHP为理论基础,结合Delphi方法,对高校教师教学质量评估体系进行尝试性建构。通过构建结构→个体判断→群判断处理→量化指标体系生成的分步操作,来达到科学、民主、公正、客观的评价目标。 相似文献
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国民经济的最优增长模型 总被引:1,自引:0,他引:1
张武军 《数学的实践与认识》2002,32(1):1-3
本文利用 Cobb-Douglas生产函数建立了一类描述国民经济收入和积累率关系的数学模型 ,并利用该模型求出了国家预定经济增长目标下的计划投资量以及保持国民经济快速增长的合理的投资量和消费目标 . 相似文献
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Michael Voit 《Semigroup Forum》2008,76(2):192-203
We classify all hypergroup structures on two disjoint tori and on two disjoint real lines. We show that both spaces admit
many hypergroup structures, and that all examples can be constructed from group cases by substitution of open subhypergroups
together with certain deformations of the group convolutions. 相似文献
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本文给出了n阶具有i个强分支的有向图的幂敛指数集R(n,i)的一个明显表达式。 相似文献
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模糊度定义的不一致性及其理论分析 总被引:1,自引:0,他引:1
指出模糊度定义的不一致性,并通过实例进行验证;从理论上分析模糊度定义的不一致性产生的原因,指出当模糊度理论在图像处理中应用时模糊度定义的不一致性可能会产生的影响;给出一个比较合理的模糊度定义。文中提出的问题是在工程应用过程中发现的新问题,所做的工作也只是初步的。 相似文献
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R. Jodelis 《Lithuanian Mathematical Journal》2001,41(3):252-265
We study the asymptotic behavior of eigenvalues of a perturbed pencil of operators in Banach spaces. We prove theorems on branching of an isolated eigenvalue into a finite number of simple eigenvalues. In addition, we deduce conditions for obtaining the asymptotics of a given form. 相似文献
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Josef Dalík 《Applications of Mathematics》2008,53(6):547-560
We study the problem of Lagrange interpolation of functions of two variables by quadratic polynomials under the condition
that nodes of interpolation are vertices of a triangulation. For an extensive class of triangulations we prove that every
inner vertex belongs to a local six-tuple of vertices which, used as nodes of interpolation, have the following property:
For every smooth function there exists a unique quadratic Lagrange interpolation polynomial and the related local interpolation
error is of optimal order. The existence of such six-tuples of vertices is a precondition for a successful application of
certain post-processing procedures to the finite-element approximations of the solutions of differential problems.
This work was supported by the grant GA ČR 103/05/0292. 相似文献
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本文设计了一种矸石堆的成堆方法 :在堆积若干年之后 ,后移一定距离重新堆积并将之前的矸石堆覆盖 ,这一方法在文 [1 ]的基础上使电费的值继续减少 ,并计算了两次成堆情况下不同出矸率对应的电费值 . 相似文献