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1.
1IntroductionsandStatementsInt-,iloIf)4-0'sCllorw'3I](see(ieVisme[4],Wright[:l]alldDriver[1])al,t}(}Inr)1,cdforil](lal[(lllrisl-,i(ital]yarlalyti(:itlI)rooftilt)prim(?number1,if(3or'3m5whi相似文献   

2.
1. Main ResultThe SK-model is one of the welLknown mean field models for spin glasses and Talagrandlllreported some advances of this model. Concretely, the SK-model can be described as follows.SK-model (without external field). For a natural nUInber N, letWhere (gij)1相似文献   

3.
A transfinite basis of the bidual space of the long James space is presented in this paper. Moreover, we prove that the space J(w+r) has the approximation property, where J (ω) is the James space, r is any finite integer.  相似文献   

4.
1.IntroductionA(general)graphGisagraphwithloopsormultiedges,whileasimplegraphhasneitherloopsnormultiedges.ForagivengraphG,theedgesetandtheadjacencymatrixofGaredenotedbyE(G)andA(G)respectively.Moreover,weuseS(G),P(G)andq(G)todenotethesumofpositiveeigenvalues,thepositiveandnegativeinertiaindicesofA(G).In[l],C.DelormepointedoutthatS(G)5#E(G)withequalityohlyformatchings.Hefurtherputforwardthequestion:WhatisthelowerboundofS(G)foragiven#E(G)?Isit~?Inthispaperwegiveanaffirmativeanswertoth…  相似文献   

5.
1 IntroductionThe Li6nard systemis a very important nonlinear system. Many authors have studied the asymptotic behavior of its solutions. But for this purpose we require first the uniquenessof its solutions to the initial value problem. Most references did not discuss itin detail, they generally assume that F(x) and g(x) are continuous and satisfythe conditions for the uniqueness of the solution. Only few authors gave someconcrete conditions.FOr example Dragilev [1] required that F(x) and g…  相似文献   

6.
SOME PROPERTIES OF THE SPECTRUM OF GRAPHS   总被引:3,自引:0,他引:3  
Let G be a graph and denote by Q(G)=D(G) A(G),L(G)=D(G)-A(G) the sum and the difference between the diagonal matrix of vertex degrees and the adjacency matrix of G,respectively. In this paper,some properties of the matrix Q(G)are studied. At the same time,anecessary and sufficient condition for the equality of the spectrum of Q(G) and L(G) is given.  相似文献   

7.
1.IntroductionItiswellknownthattheBrentmethodforsolvingsystemsofnonlinearequati0nsistosolvethefo1lowingsystem:bymaldnguseoftheorthogonaltriangulaxfaCtoriz8tion.SupP0sethatwehaveanaPprokimationx(k)tox*,asoluti0nof(1.1).Thenthek-thiterativeprocedurecanbedescribedasfollows[1]:wherehk/Oisthedifferencestepcorrespondingtotheindexk(wewilldiscussthechoicesofhkinSecti0n4)-Constructanorthogonalmatrix(usuallybytheHouseholdtransf0rmation)Step4.Ifj相似文献   

8.
In this paper we introduce some Kantorovich inequalities for the Euclidean norm of a matrix,that is, the upper bounds to ‖ (X'B~(-1)X)~(-1)X'B~(-1)AB~(-1)X (X'B~(-1)X)~(-1)A~(-1)X‖~2and to ‖(X'AX)~(-1)X'BX (X'AX)~(-1)X'CX‖~2 are given, where ‖A‖~2=trace(A'A). In terms of these inequalities the upperbounds to the three measures of inefficiency of the generalized least squares estimator (GLSE) ingeneral Gauss-Markov models are also established.  相似文献   

9.
庄圻泰 《数学学报》1937,2(1):21-39
<正> ⅠNTRODUCTIONIn 1896,Borel established the well known theorem relative tothe distribution of moduli of values for an integral function f(z) offinlite positive order O“The exponent of convergence of the moduliof the zeros of f(z)-α is equal to Q for every constant α exceptpossiibly one value of α at most.”Afterwards he proved a moregeneral theorem in replacing a by an integral function π(z) of orderless than o. Concerning the distribution of argulnents o[" values fora meromorphic fumctionf(z) of finite positive order, Viliron discoveredin 1929 the existence of what he called “direction of Borel” and  相似文献   

10.
The paper proves that it G is a k-tree, then the bandwidth B(^-G) of the complement ^-G of G given byB(^-G)=n-k-1,when G≈Kk-^Kn-k,n-k-2,otherwise.  相似文献   

11.
本文将二重积分、三重积分、第一类曲线积分及第一类曲面积分统一为多元数量值函数的积分,并且用第一类曲线、曲面积分定义第二类曲线、曲面积分。  相似文献   

12.
In this paper, an algorithm based on the regularization and integral mean value methods, to handle the ill-posed multi-dimensional Fredholm equations, is introduced. The application of this algorithm is based on the transforming the first kind equation to a second kind equation by the regularization method. Then, by converting the first kind to a second kind, the integral mean value method is employed to handle the resulting Fredholm integral equations of the second kind. The efficiency of the approach will be shown by applying the procedure on some examples.  相似文献   

13.
王玉学 《大学数学》2006,22(1):66-69
提出了求一类块三对角矩阵A的特征值和特征向量的方法,求得了该类矩阵的特征值和特征向量的表达式,并写出了用迭代法解该类方程组Au=f时迭代矩阵的特征值.  相似文献   

14.
一类值型双层凸规划的Johri一般对偶   总被引:1,自引:0,他引:1  
本文首先给出一类特殊的值型凸二次双层规划一其下层子规划只含有线性约束(简记为VBCP);然后证明了一般形式的VBCP可以等价变换为非增值型凸二次双层规划的形式;最后给出该类双层规划VBCP的Johri对偶规划及其对偶性质.  相似文献   

15.
We complete the enumeration of Dumont permutations of the second kind avoiding a pattern of length 4 which is itself a Dumont permutation of the second kind. We also consider some combinatorial statistics on Dumont permutations avoiding certain patterns of length 3 and 4 and give a natural bijection between 3142-avoiding Dumont permutations of the second kind and noncrossing partitions that uses cycle decomposition, as well as bijections between 132-, 231- and 321-avoiding Dumont permutations and Dyck paths. Finally, we enumerate Dumont permutations of the first kind simultaneously avoiding certain pairs of 4-letter patterns and another pattern of arbitrary length.  相似文献   

16.
关文吉  李小雪 《数学学报》2019,62(2):219-224
本文利用分析方法、Dedekind和及第一类Chebyshev多项式的算术性质,研究了一类关于Dedekind和及第一类Chebyshev多项式混合均值的渐近估计问题,并得到了一个较强的渐近公式.  相似文献   

17.
In this paper our aim is to present an elementary proof of an identity of Calogero concerning the zeros of Bessel functions of the first kind. Moreover, by using our elementary approach we present a new identity for the zeros of Bessel functions of the first kind, which in particular reduces to some other new identities. We also show that our method can be applied for the zeros of other special functions, like Struve functions of the first kind, and modified Bessel functions of the second kind.  相似文献   

18.
李新春 《经济数学》2006,23(3):289-292
煤炭资源是一种不可再生资源,即耗竭性资源.现在的煤炭资源开采策略是一种掠夺式的开采,不仅浪费资源,而且会使我国的煤炭将来很难满足现代化建设的需要.为此,本文采用经济控制论模型试图探讨煤炭资源的最佳开采时期.  相似文献   

19.
The Bernstein operators of second kind were introduced by Paolo Soardi in 1990, in terms of a random walk on a certain hypergroup. They have the same relation with Chebyshev polynomials of second kind as the classical Bernstein operators have with Chebyshev polynomials of first kind. In this paper we describe a de Casteljau type algorithm for these operators.  相似文献   

20.
本文对于一类具非光滑核第二类Fredholm方程的Collocation解提出一种迭代─校正方法,使得在计算量增加很少的前提下,成倍提高逼近解精度,并将此方法用于平面多角域上边界积分方程,从而给出其相应微分方程逼近解的高精度算法。此方法还是一种自适应方法。  相似文献   

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