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中文
Table of Content
30 September 1999, Volume 14 Issue 3
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The Local Distributivity in R/M
Sui Yue-fei
1999, 14(3): 1-10.
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It will be proved that given any noncappable r.e. degree a there are r.e.degrees a
0
and a
1
such that a
0
,
a
1
<=
a and [a
0
∪a
1
] is not local distributive,i.e.,there is an r.e.degree c such that [c][a
0
∪a
1
] and for any [u
i
][a
i
] and i=0,1,[c]≠[u
0
]∨[u
1
] where R/M is the quotient of the recursively enumerable degrees modulo the cappable degrees. Therefore, R/M is not distributive.
Trotter-kato Theorems for an α-times Integrated Semigroups
Lang Kai-lu, Yang Guang-jun
1999, 14(3): 11-16.
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In this paper,we discuss on the convergence and approximation of an α times integrated semigroups. The Trotter kato theorems for an α times integrated semigroups are obtained.
Lattice Implication Algebras and MV-algebras
Guo Tian-bang
1999, 14(3): 17-23.
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Lattice implication algebras is an algebraic structure which is established by combining
lattice and implication algebras．In this paper，the relationship between lattice implication algebras
and M V-algebra was discussed，and then proved that both of the categorys of the two algebras are
categorical equivalence．Finally，the infinitely distributivity in lattice implication algebras were
proved．
Rational Solutions for the Discrete
Painlev
é
Ⅱ Equation
Zhao Lingling, Shang Pengjian
1999, 14(3): 24-29.
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The rational solutions for the discrete Painlevé Ⅱ equation are constructed based on the
bilinear formalism．It is shown that they are expressed by a determinant whose entries are given by
the Laguerre Polynomials．
On Modeling a Fuzzy System Based on BPN and RBFN
Zheng Fengbin, Qing Ming , Jin Jingyu
1999, 14(3): 30-35.
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This paper presents a method of modeling a fuzzy system with fuzzy and nonlinear border，obtaining systematic structure by clustering analysis，applying BP network （ BPN） to generate
rule baseˋs antecedent function and using RBF network （ RBFN） to approximate each ruleˋs conclusion function not only because of efficient capability of approximation nonlinear function of BPN
and RBFN but also because of quickness of training speed of RBFN．In addition，structure design
and training of relevant networks are discussed in detail．Finally，the structure optimization and
overstudy of RBFN are discussed．
Multiresolutional Maneuvering Target Tracking Fusion
Algorithm Based on Singular Sensor and Multipale Models
Wen Chenglin, Jin Lili, Zhou Yanfang
1999, 14(3): 36-42.
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Multiresolutional signal processing has been employed in image processing and computer
vision to achieve improved performance that cannot be achieved using conventional signal processing techniques at only one resolution level
［1，2，5，6］．In this paper，we have associated the thought of
multiresolutional analysis with traditional Kalman filtering and proposed a new fusion algorithm
based on singular Sensor and Multipale Models for maneuvering target tracking．
Generalized Bi-quasi-variational Inequalities in Locally Convex Topological Vector Spaces
Zeng Luchuan
1999, 14(3): 43-53.
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Composition Operators Between the Weighted Dirichlet Spaces on Bounded Symmetric Domains of C
n
Luo Luo
1999, 14(3): 54-63.
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In this paper, we define the weighted Dirichlet space D
p
α
(Ω) on bounded symmetric domains Ω of C
n
. Using η-α Carleson measure,we study the boundedness and compactmess of the composition operators between the weighted Dirichlet spaces.
The Migration Equation of the Moisture in Soil with Nonlinear Initial Boundary Value Problem
Yang Mao, Chen Jianjun
1999, 14(3): 64-66.
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In this paper,combining Riemann’s method with the fixed point theory effectively,we proved that the migration equation of the moisture in soil with nonlinear initial boundary value problem has unique classical solution.
The Integrable Conditions of Riccati Differential Equation
Zhao Linlong
1999, 14(3): 67-70.
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In this paper,the new integrable conditions of Riccati equation is presented by invarant of Riccati equation.
Calculations of Invariants for Some 3-manifolds
Han Youfa
1999, 14(3): 71-75.
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In this paper,we give some ways of computing invariants of some 3 manifolds,obtained by surgery on circular Hopf link,by using Kauffman polynomial.
Another Elementary Proof of the Stability Criterion of Liénard and Chipart
Jia Lixin
1999, 14(3): 76-79.
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Using the theory of polynomials,this paper gives a new necessary and sufficient condition for a polynomial to be Hurwitz polynomial,a simple proof of the stability criterion of Liénard and Chipart is also obtained.
Applications of Abstract Operator in Partial Differential Equation (Ⅱ）
Bi Guangqing
1999, 14(3): 80-87.
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For linear partial differential equation ... the author gives the analytic solution of the initial value problem using the operators ... . By representing the operators with integrals,explicit solutions are obtained with an integral form of a given function.
On Point countable Sequential Neighborhood Networks
Li Kedian, Ren Xuejun, Jian Dianbing
1999, 14(3): 88-91.
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In this paper we prove that a space X with point countable sequential neighborhood network if and only if it is α
4
space with point countable cs network.
A Property of MRA of Multiplicity r with an Arbitrary Dilation Matrix
Chu Bin, Xue Mingzhin, Li Dengfeng
1999, 14(3): 92-95.
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In this paper, we give a property for multivariate multiresolution analysis of multiplicity r with an arbitrary dilatiion matrix.
On the Finite-dimensional Optimal Approximations to the Infinite dimensional Linear Operators
Zhang Xiuling
1999, 14(3): 96-102.
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A method of approaching to the infinite dimensional linear operators by the finite dimensional operators is discussed. It is shown that,for every infinite dimensional operator A and every natural number n, there exists an n dimensional optimal approximation to A. The norm error is found and the necessary and sufficient condition for such n dimensional optimal approximations to be unique is obtained.
Application of the Separating Theorem
Wang Zhiguo
1999, 14(3): 103-104.
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This thesis discusses the theory of nonlinear programming (NLP) including the maths solution to a type of inequality of convex function by utilizing the separating Theorem.
The Relationship Analysis between the Rates of Amployment Increasing and Economic Developing
Liang Qingwen, Miao Baiqi
1999, 14(3): 105-110.
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Today the one of the main social problem is employment. It is very important that how to treat with the relations among growth rates of economy, reformation strength and good employment and find the key point of macro control. In this paper the relationship among the employment of each industries, population, GDP and total investment in fixed assets is studied by mathematical modeling and applied mathematical statistics analysis. It is drawn that the outline of growth rates of employed persons in recent years. By these analyses our point view is to develop the tertiary industry so as to enhance the growth rates of employed persons when the economic increasing keeps appropriate rate.
