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中文
Table of Content
30 March 1995, Volume 10 Issue 1
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An Estimate of Inequality of Signature and Nullity for Links
Li Qisheng
1995, 10(1): 1-7.
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An inequality estimate of signature and nullity for links and those for its satelites has been given in this paper,which is an improvement of the result obtained by Japanese mathematician Tetsuo Shibuya.
Mixed Estimations and Bayes Estimation of the Regression Coefficient in Multivariate Linear Model
#br#
Huang Yangxin
1995, 10(1): 8-12.
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In this paper,the mixed estimations of regression coefficient in multivariate linear model is given on the condition of expanding sample data and their optimalities are considered.
It is shown that GLSE is equivalent to the above mentioned mixed estimations.Furthermore, Bayes estimation in multivariate normal model,which is the same as the mixed estimations,is also improved.
Weighted φ──Inequalities for Generalized Hardy Operator
Liu Lanze
1995, 10(1): 13-20.
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In this paper,the conditions on pairs of weights(u,v)are given such that for the generalized Hardy operator dy the following D-inequality holds: ... for T is characterized.
The Linking Number of Link with Two Components
Wu Huaan, Tian Liqin
1995, 10(1): 21-23.
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If L be a link with two components and S₁,S₂,…,S,a switching sequence such that S.S.-1…S₁L
is unlinked.It is proved thet lk and then we obtained result that any link L can be transformed a n-twisting L.by switching some crossing … .
Some Features of Hyperspherical Functins
Wang Anbin
1995, 10(1): 24-33.
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Let P(z) be n-degree hyperspherical polinomials,Q(z) be the second stort of hyperspherical functions,E.be an elipse on z-plane.In this paper,we found some inequalitys about P(z) and Q(z) on z-plane,and generalize inequality in paper [2] when α=0 to when a≥0.
In addition,we also found two important expressions ofthe relation.
Approximation Properties of the Improved Lupas──Baskakov Integral Operators
Tian Jun
1995, 10(1): 34-41.
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In this paper,we shall define the improved Lupas-Baskakov integral operators,and study the pointwise convergence properties of this operator.We shall also prove our estimates are essentially best possible.
Sets Under the Figure
Zhao Wanzhong
1995, 10(1): 42-54.
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First,we give the notion of set under the figure(ordinary set)and its operative lows.Second,it is proved that system (I²:V 、A 、,) of fuzzy sets is isomorphic with the system (K(X);∩,U,c)of sets under the figure.Therefore we can denote fuzzy set and fuzzy relation by ordinary sets.Thus one showed new thought and new method to study deeply fuzzy set and fuzzy relation.
Studies on Quasi-perfect Rings and FGFT-rings
Zhang Guiming
1995, 10(1): 55-58.
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In this paper,the relations between a quasi-perfect ring,a coherent ring and a π-co- herent ring are discussed.It is proved that a quasi-perfect ring is Morita equivalent.After that a moer popular ring,i.e.FGFT-ring,is discussed,some interesting properties are obtained.
Inequality for the Moment of a Function of a Random Variable
Li Bainian, Hu Shuhe
1995, 10(1): 59-63.
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Literature [1]obtained an upper bound inequality for the variance of a function of a standard normal random variable,using Hermite polynomials.In this paper we extend and im- prove the result of [1]and obtain an upper bound inequality for the rth absolute moment of a function of a random variable and an upper bound for the variance of a random variable function is also given.
Global Discontinuous Solutions to A Class of Generalizd Riemann Problems for Quasilinear yperbolic Systems（Ⅰ）
Chen Shouxin, Wu Ruijie
1995, 10(1): 64-68.
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In this paper,under certain hypotheses the authors prove the global existence and uniqueness of discontinuous solutions to a class of generalizd Riemann Problems,the solutions contain two contact discontinuities.
Preliminary Analysis on the Probabilistic Feature of a Dark Cave of Digits
Fan Ziliang
1995, 10(1): 69-71.
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The phenomena of dark caves had been studied long ago.However it is scarely on the probabilistic features of dark caves of digits.In this paper the probabilistic feature of a dark cave of digits is studied by taking a large sample.We intend to yield its practical application from the obtained result.
A Remark on the Intrinsic Rigidity of Compact Minimal Submanifolds in A Sphere
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Shu Shichang, Jia Xingqin
1995, 10(1): 72-76.
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In this paper,some intrinsic rigidity theorems for compact minimal submanifolds in a sphere are given,so that the classical corresponding results due to S.T.Yau and Ejiri.N are improved.
Note on the Blow-up Set for A Semilinear Parabolic Differential System
Chen Fujun
1995, 10(1): 77-82.
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This note deals with the blow up set for a non-cooperative nonlinear parabolic differ- ential system and generalizes the theorem 3.2 and 3.5 of reference [1].That is,it is proved that the blow up set consists of a single point x=0 without the restriction p>q.
Breakdown of Classical Solutions for Quasilinear Hyperbolic Systems of Diagonal Form
Li Dazhi
1995, 10(1): 83-86.
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In this paper we prove that for quasilinear hyperbolic systems of diagonal form,the blow-up point of classical solutions must be the starting point of an envelope of characteristics of the same kind.
Local C
k
─boundary Regularity of Integral Solution Operators of the equations on Open Set with Piecewise C
1
─boundary
Ma Zhongtai
1995, 10(1): 87-92.
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The real analyticity of a-closed (p,q)-form Koppelman-Leray operator Tp,g is considered in this paper,and as a generation of [1],the integral solution operators of the eqution on an open set D with piecewise C'-boundary locally preserve the real analyticity of a= closed(p,q)-forms at boundary point near which aD is totally convex in the complex tangential directions have been obtained.
A New Research of the ＇Most Reasonable Region＇ for VA Objects in Value Analysis
Sun Lianzhi
1995, 10(1): 93-96.
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The select of VA objects in value analysis plays an very important role.From the angle of cost-saving,this paper introduces a new method called equallvalued segments of straight line,which concentrates on the region in which the value coefficients of every point is smaller than 1,according to different degree of cost-saving and practical needs,divides it into a series of meaningful small regions,on the basis of that,points out not only the fault of generally accepted Mr. Danaka's method of the'most reasonable region',but also provides a new way for identifying the real and practical ‘most reasonable region'.
Supporting Functions and The Differentiabilities of the Norms on Banach Spaces
Wang Jiangen
1995, 10(1): 97-102.
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In this paper,we defined a new continuity of supporting function and studyed a new convexity,smoothness of Banach Space and from this we studyed the relations among such con- vexity,smoothness and differentiability of the norm of Banach Space.
Graphlike Manifolds with Contraction
Liu Xiaozhen
1995, 10(1): 103-110.
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