Table of Content

20 January 1995, Volume 31 Issue 1

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A Resuet on Brauer Correspondence in the Sense of Alperin and Burry

REN Guoqiang

1995, 31(1):  54-57. 

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In this note, we obtain the following main result. Theorem A: Suppose Ｈ≤Ｇ and let B and b are blocks of RG and RH respectively, and their block idempotents are e_B and e_b respectively. If a defect group of b satisfies that D≤Z(G), then the following are equivalent: (1)b^~(G)=B^~; (2)e^~_B·e^~_b=e^~_b; (3)e_B·e_b=e_b; (4)for any X∈Irr(b), all the irreducible constituents of X^G belong to B.

Lower Confidence Limits in Censored Case

ZHENG Zhongguo,JIN Hua

1995, 31(1):  27-39. 

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We consider the problem of setting the lower confidence limit of the scale parameter of a population. The data are to be censored by a set of fixed times, a lower confidence limit forthe scale parameter based on selection of fiducial distributions and a sequential confidence limit are introduced and some propertiesare discussed.

Maximal Probability Inequality and Truncation Property for Random Field and Its Application

HE Shuyuan

1995, 31(1):  40-53. 

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Certain classical maximal probability inequalities for ordinary discrete-time submartingales (or supermartingales) are not (in general) true for discrete-time two dimensionally indexed submartingales (or supermartingales) and some others have their useful extensions but can not be used directly when dealing with the LIL convergency results for partial sums of two dimensionally indexed martingale difference. Maximal probability inequalities for two dimensionally indexed martingale difference in other forms and truncation properties for random fields was given to show the LIL convergency results for partial sums of two dimensional 1/4 martingale difference.

Dilation and Inversion for Qualitative Properties of Solutions of Semilinear Elliptic Equations

WANG Yaodong,CHOU Kaiseng

1995, 31(1):  1-10. 

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The monotonicity and the symmetry of the solutions of the semilinear elliptic equations are studied by the dilation andthe inversion method.

Capacity and Covering Theorems

FANG Qiqing,ZHANG Shunyan

1995, 31(1):  11-19. 

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Suppose that G and G^~ are domains in C^- with ∞ included. Assume that f: G →G^~is meromorphic with a pole of order m at ∞. Let E=C^~\G and F=C^~\G^~ be compact sets. Under some conditions on f(see Theorem 1), two inequalities concerning cap E and cap F are given. By using these inequalities several covering theorems are obtained.

A Discussion of the Learning in a Simple Perceptron

FENG Jianfeng

1995, 31(1):  20-26. 

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We extend the convergence of the simple perceptron learning rule to the case that the set of inputs is infinity or a region. When the set of inputs is linearly separable, we prove that a simple perceptron always improves its performance. As the set of the inputs is 'strong' linearly separable, then within finite time the connections among units converge to a limit which separates the inputs. The convergence rate is also estimated.

Two New Methods for Deriving the Hall-Effect Formular

FU Yunling,ZHANG Lihong

1995, 31(1):  58-62. 

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Some mistakes present in the paper written by Isenberg I.et al.are pointed out, and two new methods for deriving the Halleffect formula are offered.

A Numerical Simulation Research of Nocturnal Atmosphere Boundary Layer over Gobi

LIU Shuhua

1995, 31(1):  63-70. 

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The development and structure of the nocturnal atmosphere boundary layer over Gobi are studied using one dimensional numerical model. Typical features of the development and the formation of the inversion and the slope flow wind during nocturnal surface cooling condition are obtained. The simulation results are compared with the observational data and are in good agreement with ones.

The Resonant lnteraction of Five Planetary Waves

HUANG Yifang,TAN Benkui

1995, 31(1):  71-76. 

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The theory of resonant interaction of planetary waves in a two layer model is extended from three-wave system to five-wave system. The evolution equations governing the amplitudes of the waves are derived and solved analytically. It is found that the solutions can be given in terms of Jacobi elliptic functions.

Numerical Experiments on the Detour Airflow Forced by Mountains

BAI Renhai,XIE An

1995, 31(1):  77-83. 

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The effects of topography on the surface layer winds were diagnosed by using a one-level mesoscale model. Some convergence lines forced by complex terrain were found in the leeside of mountains and coinsided with the heavy rainfall. Theresults of these experiments indicate that the influence created bythe deflection of low-level flow around the mountains would be seriously considered in the mesoscale diagnostic analys is of the heavy rainfall, especially in the leeward side.

Construction and Expression of the Gene for Human Proinsulin Analog (B-Arg-Arg-A)

LI Xiongbiao,XIE Bin,CHEN Laitong,TANG Jianguo,HU Meihao

1995, 31(1):  84-91. 

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By means of deletion mutagenesis by polymerase chain reactio (PCR), a plasmid, pUC19BR2A, was constructed which contained the codons of ananalog(B-Arg-Arg-A) of human proinsulin in which the normal35-amino acid connecting peptide was replaced by dipeptide(Arg-Arg). An expression plasmid with PRPL promoter, pJG107, was constructedwhich encoded a fusion protein consisting of B-Arg-Arg-A and a polypeptide of 72 amino acid. Expressed in Eschericbia coli, the fusion protein with insulin immunoreactive activity measured by radioimmunoassay accounted for 58% of total bacterial protein.

Fibrillar System of Ochromonas Danica

LI Yinzhen

1995, 31(1):  92-98. 

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By brief extraction and fixation in Triton X-100 PIPES fluid contaning glutaraldeyde (2.5%), intact fibrllar framework in the cell of O.danica was revealed. The fibriller framework consists of. (1) An inverted Y shaped microtubular trunk fiber at the anterior end, with its axis running anteriorly and dorsally, and its 2 armsrunning along the sides of kinetosomes ventrally and posteriorly, longitudinal fibrils of various thickness running from the trunk fiber posteriorly, some of which dividing repeatedly, resulting in isolated microtubules to the tail of the cell. (2)A pair of thin fibril arisingnear the base of the short flagellum, and running ventrally and forming loops around the basal part of the short flagellum. (3)A striated ribbon like or triangular rhizoplast originating from thekinetosome of the long flagellum and ending with its broad to the nuclear membrance. Treating extraced cells with colchicine (10ml)or with (NH₄)₂SO₄ 250mmM resulted in disappearance of all the fibrils except rhizoplast and flagella.

Non-Equilibrium Ion Kinetics Study of Single IonChannel In Cell Membrane

CHEN Jian

1995, 31(1):  99-107. 

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Setting the RateTheory on the basis of Markov process, the paper proposed a model concerning the relation between the membrane holding potential and the non-equilibrium stable ion flow passing through various barriers. The parameters of the model could been estimated by the Simple Search Method. The single potassium current of cultured cerebral neuron of newborn rat was recorded by patch clamp technique. The channel current was linearly related with holding potential ±60mv in cell-attached mode and ±40mv in inside-out mode, but was nonlinear at higher potential. The experimental results could been fitted by three barrier model. The energy barrier distribution, highest at extra-side of the pore and lowest at the middel, caused the Sshape IV relation in cell-attached mode. The energy barrieres decreased from extra-side to inner-side in inside-out mode. The rectification could be resulted from asymmetrical energy distribution in the pore of ion channel.

Revision of the State-Trait Anxiety Inventory with Sample of Chinese College Students

LI Wenli,QIAN Mingyi

1995, 31(1):  108-114. 

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The State-Trait Anxiety Inventory (STAI Form Y) was revised for Chinese college students. According to the result of factor analysis, four main factors, state-anxiety present, state-anxiety absent, trait-anxiety present, trait-anxiety absent, were drawn from the inventory 0.39 items except item T4 had significant correlations with the total score and the discriminitionindexes were above 0.30 The homoqeneity reliabilities of the two revised sub-scales were 0.9062 and 0.8825 ANOVA indicated there was no significant difference between males and females in normal situation. The norm of Chinese college students was discribed and the score distributions were diagrammed. The authorsfinally discussed the limitations and further development of theinventory.

Analysis of Gouges in the Sino-Mongolian Boundary Thrust

WANG Yufang,ZHENG Yadong,WANG Xinli

1995, 31(1):  115-128. 

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The faulted rocks in the Sino-Mongolian Boundary Thrust are uncohesive gouges commenly a few or tens of centimeters in thickness (locally up to 3 meters). Analysis of 13gouge samples show that the content of clay minerals (grain size < 20 µm) are quite variable, ranging from 5 to 44 percent. The main clay minerals are illite and kaolinite; remaining claymaterial is montmorillonite and chlorite. These clay minerals appearas either angular fragments or rounded granulitic grains. Some micro-spheroclasts or microsphaeroidal fragments of clay minerals caused by mechanical grinding are found in the gouge. The illite fragments are not suitable for K-Ar model age determination. The fragments of clay minerals and micro-spheroclasts suggest that the thrusting occurred at least twice. The morphological features on the quartz grains are due to solution; these grains along with euhedral crystals of gypsum and calcite imply that the thrusting is inactive.