数学季刊

On the Pseudo-Primeness of Meromorphic Functions of Infinite Order

王跃飞

1993, 8(2): 1-9.

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In this paper the pseudo -primeness of meromorphic functions of infinite order is dissoussed in detail and quite a few result are obtained, which are improvments of that of Ozawa.

An Approximate M-estimation for the Parameters of Mixed Regression Model

侯玉华, 李义华

1993, 8(2): 10-16.

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In this paper, to keep scale inveriance, we propose an approximate M-estrmation for the mixed regression model and show consistency of the estimation under weaker conditions than that in [1].

On Two Conjectures Concerning the Veronese Generating Submanifolds

宋鸿藻, 胡泽军

1993, 8(2): 17-21.

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The notion of finite type submanifolds was introduced by B. Y. Chen. In this paper the conjectures on scalar curvature of Veronese generating submanifolds in Eσ and the minimal conjecture on Veronese space-like submanifold Σ and Veronese pseudo-Riemannian submanifold ... in E₁^σ are proved.We have Σ is minimal in H5. （?） is minimal in .. are of 1-type in E₁^σ.

Asymptotic and Oscillatory Behavior of Solutions of First Order Neutral Differential Equations

王其如, 李黎

1993, 8(2): 22-31.

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This paper has made researches on first order neutral differential equations with variable coefficients and several deviations. The asymptotic behavior of nonoscillatory solutions of the equations are discussed. Necessary and sufficient conditions and several sufficient conditions for the oscillations of the equations are obtained. The relevent results in [1—3] are improved and generalized.

The Approximation Properties of Certain Interpolation Operators of Entire Exponential Type (1)

刘九芬, 田继善

1993, 8(2): 32-39.

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In this paper, the authers introduce certain entire exponential type interpolation operatots and study the convergence problem of these operatots in c(R) or Lp(R) (1≤p<∞).

Lower Bound of the First Eigenvalue for the Laplace Operator on Compact Riemannian Manifold

祁锋, 郭白妮

1993, 8(2): 40-49.

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Let M be a compact m-dimensional Riemannian manifold, let d denote, its diameter, -R（R>O） the lower bound of the Ricci curvature, and λ1 the first eigerivalue for the Laplacian on M. Then there exists a constant ... .

Some Fixed Point Theorems on Nonarchimedean Menger Probabilistic Metrie Space

毛宝瑜, 陈汝栋

1993, 8(2): 50-55.

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In this paper, we have given a fixed point theorem for mapping sequence and mapping pair on nonarchimedean Mengen Probabilistic metric space. A Special case of its inference is an extension of results of reference [5-6].

The Approach to the Covariance of the Outer Producter of Two Independent Random Vector in Inter Productor Space

杨金中, 李新

1993, 8(2): 56-59.

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The purpose of this article is to prescnt by using vector space methods. a formula as how to calculate the covariance of the outer product of two independent random vecters in inter product space and to makes a discussion on the covariance of the orthogonally invariant random vector and that of the weakly spherically distributed orter produt.

On L. N. Shevrin's Problem

黄允宝

1993, 8(2): 60-62.

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In this short paper, our purpose is to give an affirmative answer to a problem raised by L. N. Shevrin in [1] for some special cases.

The Assodated Matrices of A_{p, n, 4p-5} Polyhedra and their Admissible Onerations

陈胜敏

1993, 8(2): 63-77.

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In this paper we describe the decomposition problem of a special kind of A_{p. n. 4p-5}polyhedra by using the associated matrices and their admissible operations.

Fuzzy Metrics Characterized by Molecules and Sets

王戈平

1993, 8(2): 78-86.

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Erceg in [1] extended the Hausdorff distance function betwen subsets of a set X to fuzzy settheory, and introduced a fuzzy pseudo-quasi-metric（p. q. metric） p: Lx xLx -[0,∞] where L is acompletely distributive lattice, and the associated family of neighborhood mappings {Dr |r>O}. Thefuzzy metric space in Erceg's sense is denoted by （Lx, p, Dr） since there exists a one to one correspondence between fuzzy p. q. metrics and associatcd families of neighborhood mapping, a family{Dr|r>0}satisfying certain conditions is also callcd a （standard） fuzzy p. q metric. In [2] Liang defimed apointwise fuzzy p. q. metric d: P（Lx）×P（Lx）-[0, ∞) and applicd it to the construction of theproduct fuzzy metric. In this paper, we give axiomatic definitions of molcculewise and fuzzy .

Two Theorems on Volume and Dihedral Angles of a n-dimensional Simplex

杨世国

1993, 8(2): 87-93.

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In this gape, we obtain thorem I on volum of a n-dirmensional simplex and theorem 2 on dihedral angies of a simplex. Besides. We obtain Vasic inequality in E~n and its extension. The resultsin this paper contain and improve the results in paper [1], [2], [3], [4].

A Semigroup Treatment to Viscosity Solutions of the Hanilton-Jacobi Fquation

宋清芳, 朱大新

1993, 8(2): 94-101.

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On the Construction of d-Continuous, Modules

陈晋健

1993, 8(2): 102-107.

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In this paper we introduce: and study the notion of dual Gontinuous (d-Contmuous) modnles, A decomposrtion thcorem for a d-continuous modules proved, this generahzes all known decompositron theorems for quasi-projective modules.

A Necessary Condition of the Cardinal

闫林

1993, 8(2): 108-110.

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In this paper the auther begins with some known results about ηλ(=the least cardinal K such that K→（λ）~<∞), proving this theorem: If λ is not Ramsey cardinal and ηλ exists, then for every a<ηλ there is a weakly compact cardinal γ, such that λ<γα<ηλandγα<γβwhenever a<β<ηλ, therefore ηλ is the limit of the sequence（γα:a<ηλ）, i.e. ηλ=limγα. The theorem is mainly based on the theory of models with indiscernibles.

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