THE STRUCTURE OF THE HYPERBOLIC SET OF POINTS

ＴＨＥＳＴＲＵＣＴＵＲＥＯＦＴＨＥＨＹＰＥＲＢＯＬＩＣＳＥＴＯＦＰＯＩＮＴＳ￥ＬｉｎＺｈｅｎｓｈｅｎｇ（ＦｕｚｈｏｕＵｎｉｖｅｒｓｉｔｙ，）Ａｂｓｔｒａｃｔ：Ｉｎｔｈｉｓｐａｐｅｒｗｅｇｉｖｅｔｈｅｎｅｗｄｅｆｉｎｉｔｉｏｎｏｆｔｈｅｈｙｐｅｒｂｏｌ...     

THE TRANSFINITE BASIS OF THE BIDUAL SPACE OF THE LONG JAMES SPACE

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.     

ON THE BOUNDS OF THE PERIMETER OF AN ELLIPSE

In this paper,we present new bounds for the perimeter of an ellipse in terms of harmonic,geometric,arithmetic and quadratic means;these new bounds represent improvements upon some previously known results.     

ON THE DISTRIBUTION OF THE VALUES OF MEROMOPHIC FUNCTIONS OF INFINITE ORDER

<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     

ON THE REGULARITY OF THE MINIMUM SOLUTION OF THE RESTRAINED VARIATIONAL PROBLEMS

This paper is concerned with the regularity of minimum solution u of the following functional on the restraint Under appropriate conditions, the bounded minimum solution u of the above functional is proved to be nothing but Hlder continuous.     

THE DETERMINATION OF SIGNIFICANT DIGITS OF THE NUMERICAL SOLUTION OF LINEAR EQUATIONS

In this paper,the main results are concluded in theorem 1 and theorem 4.Theorem 1 Let A,b be nxn matrix and re-dimensional vector respectively,which can be represented exactly in the computer.If W is a nonsingu-lar nXn matrix such that ||I-WA||<1 then for any algorithm the errors of the sulution of linear equations Ax - b (1) satisfy the following inequalities     

NUMERICAL ANALYSIS OF THE DYNAMICAL BEHAVIOR OF THE EQUATION OF J-J TYPE

In this paper, we have analysed the dynamical behavior of the Josephson Junction equation bynumerical computation and the theory of dynamical systems. As 0<β<2:1 ε, and ρis not sufficientlylarge, we observed the intermittent chaotic behavior and the period-doubling chaotic behavior in whichpeople are very interested recently. This implies the for some β(0<β<2:1 ε), the dynamicalbehavior of the J-J equation is rather complex.     

THE CLASSIFICATION OF THE CURVATURE TENSORS OF KAHLER MANIFOLDS

Let M be a Kahler manifold of complex dimensions m and Z_I,…,Z_m.be mcomplex vectors which form a frame in the neighbourhood of a point p∈M andω~1,…,ω~m be the dual coframe.Denote ds~2=h_αβ~(ω~αω~β)     

THE LATERAL BOUNDARY OF THE SUPPORT OF WEAK SOLUTIONS OF THE FILTRATION EQUATION IN ONE DIMENSION

<正> §0. INTRODUCTION In the present paper we shall consider a flow of water through a homogeneous isotropicrigid porous medium. Let function u(x, t) denote the volumetric moisture content, which isdefined locally as the volume of water per unit volume of the porous medium, and q the seepage velocity which is defined locally as the volume of water flowing across unit area of the     

A NEW CHARACTERIZATION OF THE CLOSEDNESS OF THE SUM OF TWO SUBSPACES

In this article, a new characterization of the closedness of the sum of two closed subspaces of a Hilbert space is established.     

KANTOROVICH-TYPE INEQUALITIES AND THE MEASURES OF INEFFICIENCY OF THE GLSE

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.     

THE EXISTENCE THEOREM OF THE CONE-WEAK SUBDIFFERENTIAL OF SET-VALUED MAPPING

In this paper, the existence theorem of the cone-weak subdiflerential of set-valued mapping in locally convex topological vector space is proved.     

REPRESENTATIONS OF THE TWO PARAMETER DEFORMATION OF THE VIRASORO ALGEBRA

This paper constructs a class of Harish-Chandra modules with multiplicity ≤1 of the two parameter deformation of Virasoro algebra and proves a classification theorem.     

ON THE RATE OF POINTWISE CONVERGENCE OF THE DURRMEYER-TYPE OPERATORS

For bounded or some locally bounded functions f measurable on an interval I there is estimated the rate of convergence of the Durrmeyer-type operators Lnf at those points x∈IntI at which the one-sided limits f(x± 0) exist. In the main theorems the Chanturiya's modulus of variation is used.     

THE LIMIT SET OF A CONTINUOUS SELF-MAP OF THE TREE

Let f denote a continuous map of a tree T to itself. A point x ∈ T is called a 7-limit point of f if it is both an ω-limit point and an α-limit point. In the present paper, we show that (1) Ω-Γ is countable, (2) A -Γ and P - Γ are either empty or countably infinite, where P denotes the closure of the set of periodic points P.     

A METHOD PROVING THE UNIQUENESS OF THE LIMIT CYCLE OF THE QUADRATIC SYSTEM

ＡＭＥＴＨＯＤＰＲＯＶＩＮＧＴＨＥＵＮＩＱＵＥＮＥＳＳＯＦＴＨＥＬＩＭＩＴ　ＣＹＣＬＥＯＦＴＨＥＱＵＡＤＲＡＴＩＣＳＹＳＴＥＭＸｕＳｉｌｉｎ（徐思林）（ＱｉｎｇｄａｏＵｎｉｖｅｒｓｉｔｙ，青岛大学，邮编：２６６０７１）ＺｈｕＹｕｇｅｎ（朱豫根）（Ｎａ...     

ON THE FUNCTIONAL-DIFFERENTIAL EQUATION OF THE DISTRIBUTION OF PRIME NUMBERS

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   

THE WEAK CONCENTRATION OF THE SK-MODEL

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   

A CHARACTERIZATION OF THE EMBEDDABILITY OF GRAPHS ON THE SURFACE OF GIVEN GENUS

§1.ＩｎｔｒｏｄｕｃｔｉｏｎＴｈｅｓｙｍｂｏｌｓａｎｄｔｈｅｔｅｃｈｎｉｃａｌｔｅｒｍｓｎｏｔｅｘｐｌａｉｎｅｄｉｎｔｈｉｓｐａｐｅｒｃａｎｂｅｆｏｕｎｄｉｎ[1]ａｎｄ[3].ＡｇｒａｐｈｉｓｏｆｔｅｎｄｅｎｏｔｅｄｂｙＧ=(Ｖ,Ｅ),υ=｜Ｖ｜ａｎｄε=｜Ｅ｜ａｒｅｃａｌｌｅｄｉｔｓｏｒｄｅｒａｎｄｓｉｚｅｒｅｓｐｅｃｔｉｖｅｌｙ.ＩｔｈａｓｂｅｅｎｓｈｏｗｎｂｙＲ.Ｄｕｋｅ[4]ｔｈａｔｉｆａｃｏｎｎｅｃｔｅｄｇｒａｐｈＧｈａｓｅｍｂｅｄｄｉｎｇｓ(ｏｒ2-ｃｅｌｌｅｍｂｅｄｄｉｎｇｓｉｎＤｕｋｅ’ｓｔｅｒｍｉ…     

THE UNIQUENESS OF LIMIT CYCLE OF THE POLYNOMIAL LIENARD SYSTEM OF DEGREE 4

In this paper, the uniqueness of limit cycle of a special polynomial Lienard system is discussed and some results under certain conditions are given.