数学季刊

On Fast Polynomial Algorithms and Lower Bounds of the Linear Complexity

李磊

1996, 11(2): 1-4.

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In this paper,we discuss the fast evaluation algorithm of polynomials showed by H. T.Kung,and show some lower bounds of the linear complexity for some orthogonal linear transformations.

On Infinitesimal Ⅱ-isometry of Surfaces

杨纬隆

1996, 11(2): 5-10.

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In this paper,we try to discuss the conjecture which says that infinitesimal I-isome- try of surface is infintesimal I-isometry.i.e,infinitesimal rigid.Under some weakly supposi- tions of Guass curvature,some new results are worked out They are generalizations of known theories.

I* -Rings

W.B.Vasantha Kandasamy

1996, 11(2): 11-12.

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Bounds for Determinants of Quaternion Matrices

黄礼平, 蔡永裕

1996, 11(2): 13-16.

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This paper improves and generalizes famous Fischer's inequality and Hadamard's inequality,gets precise estimation of bounds for the determinant of quaternion matrix.

Separateness in Topological Molecular Lattices

李雷

1996, 11(2): 17-20.

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In this paper,we discuss the separateness in topological molecular lattices(TML) by the molecular stratums given in [1] and [2],deal with the relationship between the compactness and separateness.

Coefficient Invariants of Conway Polynomial

吴华安, 葛新同

1996, 11(2): 21-25.

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It is proved that the coefficients ofconway polynomial in z°,z¹and z²and all ambient isotopic invariants.In particular,the coefficient in z²of conway polynomial for link L with two components is only depend on switch crossings in pairs.

Necessary　and　Sufficient　Condition　for　Generalized　Diagonal　Dominance　Matrices

杨益民

1996, 11(2): 26-29.

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In the paper,a necessary and sufficeent condition for generalized diagonal domiance matrices is given.Further,the relations among all generalized positive definite matrices are shown,also,someflaws and mistakes in the references are corrected.

Remarks on the Veronese Generating Submanifolds in Minkoski Space

胡聪娥

1996, 11(2): 30-34.

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In this paper,the minimal conjecture on the Veronese Generating submanifolds in S(1) is generalized to minmal submanifolds in S". Two classes of the Generating submanifolds of spherical minimal submanifolds in Minkowski space are respectively space-like Minimal submanifolds of Hyperbolic space and pseudo-Rie-mannian Minimal submanifolds of pseudo-Riemannian sphere and they are of l-type submanifolds in Minkowski space is proved.

Weighted Norm Inequalities for the Laplace Transform

王宗申

1996, 11(2): 35-37.

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A Left Invariant Differential Operator not of Transitive Elliptic Type

冯秀芳

1996, 11(2): 38-42.

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The Characterizations of Weighted H^p(w） Spaces on the Certain Groups

邹进

1996, 11(2): 43-48.

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The weighted HP(w)spaces on the homogeneous type spaces have been defined in [1],in this paper we shall show the equivalence of various characterizations of HP(w) on the certain groups that are the special kind of the homogeneous type spaces.

On the Locally Symmetric and Cosympectic Bochner Flat Manifolds

瞿成勤, 欧阳崇珍

1996, 11(2): 49-55.

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In the present paper we give the Riemannian structure of the locally symmetric and cosymplectic Bochner flat manifolds,and study the spectrum of Laplacian on them.

The Isometry of Riemannian Manifold to a Sphere

赵培标

1996, 11(2): 56-59.

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In this paper the quasi-constant curvature space and the Riemannian manifold contained the totally umbilical hypersurface family are studied,and two theorems are given at the same time.

The Homeomorphism Classification of G. M. (2k+l-venices)

袁夫永

1996, 11(2): 60-63.

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In this paper,we generalize the method of computing the home-morphism class of G. M. ...

Graphlike Manifolds with Contraction △×△(Correction)

刘亚星

1996, 11(2): 64-64.

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On Some Properties of L Type Intuitionistic Fuzzy Family

岳树松, 王建平

1996, 11(2): 65-69.

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Intuitionistic fuzzy set is an extended form of Zadeh's fuzzy set.In this paper,the concept of L type intuitionistic fuzzy family based on lattice implication algebras was proposed and some of its properties were discussed.

Existence　and　Uniqueness　of　the　Solution　of　Nonlinear　Population　Evolution　Equations

李红裔, 王定江

1996, 11(2): 70-73.

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This paper discusses the nonlinear Age-structured population dynamics.The exis- tence and uniqueness of the equation have been proved.

A Finite-dimensional Integrable System with Time Parameter

张金顺, 王鸿业, 李若冰

1996, 11(2): 74-79.

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In this paper a finite dimensional Liouville completely integrable system with time-dependent coeficients: ... is obtained.It is proved that when(p,q)satisfies two noninvolutive systems(H) and (F),the constraint u=1/2t^-9/2<q,q>-7x/(12t) gives a solution of generalized CKdV equation.

The Existence of the Complete and Completely Distributive Lattices

白瑞蒲

1996, 11(2): 80-81.

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The existence of some lattices and the lattice having the smallest set of generating elements are important in lattice theory.In this paper by means of the relations of the intrinsic topologies and admissible topology of a lattice,we prove there not exists the infinte complete and completely distributive lattice which has finite dimension.A complete boolean lattice Bpossesses the smallest set of generating elements iff B is completely distributive.

Perturbation Theory for Dual Cosine Function（Ⅱ）—Time－dependent　Perturbation in the Sun－reflexive　Case

丁天彪

1996, 11(2): 82-84.

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In this paper,we proved that the infinitesimal generator of a strongly continuous co- sine operator function is preserved under the time-dependent perturbation in the sun-reflexive case,where the perturbed operator is a bounded linear operator from X into a bigger space X(not X),then the corresponding 2-order abstract Cauchy problem is uniformly well-posed.

Research on the Evolution of Thinking Dynamics Attractor

杨谦, 张拥军, 白春明

1996, 11(2): 85-92.

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In this paper we introduce the evolution law of thinking-neural network attractor in the field of thinking dynamics,a new idea about the attractor evolution using evolutional map- ping transformation is given on the bases of generalized isologous concept.The idea is connected with the intuitive thinking.This paper lays a foundation for the further studying of the brain thinking process.

On Graphlike Manifolds with Contraction

袁夫永, 刘亚星

1996, 11(2): 93-94.

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An Algorithm of Witten's Invariants of Some 3-manifolds

李起升

1996, 11(2): 95-97.

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In this paper,I give out an algorithm of the witten's invariants of the 3-manifolds obtained by surgery on the links whose corresponding graphs maybe no longer trees.

A Generalization about Congruent Pairs on a Set

黄骏敏

1996, 11(2): 98-101.

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In this paper,we cancel the condition of stable subsets of [1] and have got the same result with [1],we have also got some sufficient and necessary conditions about congruence of permutation group(G,T) is “=” .

A Note for Incidence Geometry,Complex and Chamber System

熊胜利

1996, 11(2): 102-105.

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In this paper we prove the equivalence of two conditions for geometry,which are used in the investigation of the quotient structure of geometry.Furthermore we deal with the relation bet ween the connectedness of complices and that of chamber systems.

Nonsingularity on Level-2（r₁, r₂）-circulant Matrices of Type （m,n）

江兆林, 郭运端

1996, 11(2): 106-110.

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In this'pape,we give four methods of discriminations its nonsingularity by utilizing only parametr r,rz and elements of the first row of level-2(r_₁,r_₂)-circulant matrices of type (m,n).

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