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Table of Content
30 September 2003, Volume 18 Issue 3
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The Generalized Roper-Suffridge Extension Operator for Locally Biholomorphic Mappings
LIU Xiao-song, LIU Tai-shun
2003, 18(3): 221-229.
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In this paper ,we introduce the generalized Roper-Suffridge extension operator for locally bi- holomorphic mappings．It is shown that this operator preserves the starlikeness on some Reinhardt do- mains and does not preserve convexity for some cases ．Meanwhile ,the growth theorem and distortion theorem of the corresponding mappings are given .
Supplement to“on the Conjecture of Gackstatter and Laine Concerning Algebraic Differential Equations”
GAO Ling-yun
2003, 18(3): 230-233.
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This paper investigates the form of complex algebraic differential equation with admissible meromorphic solutions and obtains two results which are more precise that n that of the paper［2］．
C
s+α
p,q
-forms Solution of ∂
b
-equation and Its
L
s
p,q
Estimates
MA Zhong-tai
2003, 18(3): 234-241.
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In this paper，by using holomorphic support function of strictly pseudoconvex domain on Stein manifolds and the kernel defined by DEMAILY J P and Laurent Thiebaut，we construct two integral
operators T
q
and S
q
which are both belong to C(∂D）and obtain integral representation of the solu-
tion of（ p q）-form ∂
b
-equation on the boundary of pseudoconvex domain in Stein manifolds and the
L
s
p,q
extimates for the solution .
Construction of Compactly Supported Bivariate Orthogonal Wavelets
YANG Jian-wei , ZHANG Ling-ling
2003, 18(3): 242-246.
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For a given compactly supported scaling function supported over［0，3］×［0，3］，we present an algorithm to construct compactly supported orthogonal wavelets ．By this algorithm ，the symbol function of the associated wavelets can be constructed explicitly .
Implementing Semantic Deduction of Propositional Knowledge in an Extension Multi-layer Perceptron
HUANG Tian-min PEI Zheng
2003, 18(3): 247-257.
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The paper presents an extension multi-layer perceptron model that is capable of representing and reasoning propositional knowledge base．An extended version of propositional calculus is developed and its some properties is discussed．Formulas of the extended calculus can be expressed in the extension multi-layer perceptron ．Naturally semantic deduction of propositional knowledge base can be imple- ment by the extension multi-layer perceptron and by learning an unknown formula set can be found .
Some Growth Rates of Certain Holomorphic Maps
YANG Qiao QIU Jing-hua
2003, 18(3): 258-263.
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In this paper we discuss some properties of holomorphic maps between Kahler manifolds with certain curvature restrictions.
Common Fixed Point Theorems of Single-valued and Set-valued Mappings in Complete Convex Metric Spaces
LIANG Jun-qi , ZHANG Zhi-hong , ZHAO Ling
2003, 18(3): 264-270.
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On Sufficient Conditions for p-valently Close-to-convexity
XU Neng
2003, 18(3): 271-275.
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Convergence Rate of Empirical Bayes Test for the Parameter of the Truncated-type Distribution Families
SHI Yi-min , SHI Xiao-lin , LI Ke-xue
2003, 18(3): 276-282.
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The Counting Problem of an Order N-group of Set
WANG Jinghou, ZHANG Hai-mo
2003, 18(3): 283-285.
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In this paper we discuss the counting problem of an order n-group of set（ A
1
,A
2
,… ,A
n
）
which satisfies
… ．We solve these problems by element analytical method.
On Inverse Limits of Normal δθ-refinable Spaces
CAO Jin-wen
2003, 18(3): 286-290.
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This paper proves the following results：Let X ＝l σ,π,Λ} ,|Λ|= λ,and every pro-
jection πσ：X → Xσbe an open and onto mapping．（A）If X is λ-paracompact and every X σis normal and δθ-refinable，then X is normal and δθ-refinable；（B）If X is hereditarily λ-paracompact and every X σis hereditarily normal and hereditarily δθ-refinable， then X is hereditarily normal and hereditarily δθ-refiable .
A Discussion about Reducing the Amount of Calculation of Direct Method
DU Tai-sheng XIAO Ze-chang
2003, 18(3): 291-296.
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The Properties of the Hyper Relation R
i
MI Hong-hai, YAN Guang-xia
2003, 18(3): 297-301.
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In this paper we discuss the basic properties of hyper relation Ri ,which is upgraded from the base relation R．The relationship between Ri and R is considered.
The Weak Solutions to Initial Boundary Value Problem for Boltzmann-Poisson System
XU Ji-jun GUO Rui-qiang CUI Guo-zhong
2003, 18(3): 302-309.
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Analytic Solutions of Klein-gordon Equation and Generalized Schrödinger Equation
WU Jing-zhu, DUAN Guang-sen
2003, 18(3): 310-314.
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Boundedness of Operators in Morrey Spaces over Vilenkin Group
WANG Yue-shan , ZHU Xiu-ge
2003, 18(3): 315-319.
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Let G be a locally compact Vilenkin group ．We will establish the boundedness in Morrey spaces Lp ,λ（ G）for a large class of sublinear operators and linear commutators .
The Qualitative Analysis of a Solution of a Series Maintenance System with Two Components
GUO Wei-hua YANG M-z-zeng
2003, 18(3): 320-327.
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The Two Patterns of High Exact Difference in Convection Equation
YANG Hui
2003, 18(3): 328-330.
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This paper gives two patterns of high exact difference in solving convection equation．The error of cut section is to O(Δt
2
+ Δx
4
）.
