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Volumn Content
Journal of Jishou University(Natural Sciences Edition) 2002 Vol.23
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On Graham's Problem Concerning the Sum of the Aliquot Parts
LE Mao-Hua
journal6 2002, 23 (
1
): 1-3.
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Let n be a positive integer satisfying n>1 and s(n)=[n/2],where s(n) is the sum of the aliquot parts of n.Further let ε(n) denote the number of dirts of n.Further let ε(n) denote the number of distinct prime factors of n and p1,p2,…,pω(n) denote its prime factors with p1<p2<…<pω(n).In this paper we prove that if 2|n,then n=2;if n is odd and ω(n)≤2,then n is a power of 3;if n is odd and ω(n)≤3,then p1=3 or p1=5,p2=7 and 11≤p3≤31;if n is odd and ω(n)=4,then p1=3 or p1=5,7≤p2≤13,11≤p3≤17 and 13≤p4≤23.The above-mentioned results partly solve a problem posed by Graham.
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Wavelet Transform Based on Analytic Signal and Its Application
WU Jin-Pei, WU Wei-Wei
journal6 2002, 23 (
1
): 4-7.
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Wavelet transform based on analytic signal is proposed, with its properties discussed. By this method, the energy of the signal in a certain frequency subband, which may change with time, can be calculated out like Wigner distribution. The outcome of the transform can be visualized easily, overcoming the drawbacks of common wavelet transform. Three examples are given, which include its application on time-frequency analysis, denoising and fault diagnosis.
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XAFS and XRD Studies of Mechanically Alloyed Fe
100-
x
Cu
x
YIN Shi-Long, ZHANG Jia-Wei, WEI Shi-Qiang
Journal of Jishou University(Natural Sciences Edition) 2002, 23 (
1
): 8-12.
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2328
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The structures of the mechanically alloyed Fe
100-
x
Cu
x
(
x
=0,20,30,40,60,70,100) after milling for 80 hours were investigated by X-ray absorption fine structure (XAFS) and X-ray diffraction (XRD).When the weight ratio of the balls to the powder was 40:1,for the Fe
100-
x
Cu
x
(
x
≥40) alloys,the XRD results show that diffraction peaks of α-Fe disapeared,and only the diffraction peaks with fcc-like structure were observed.The fcc-like lattice parameter increases with Fe concentration.On the contrary,for the Fe
100-
x
Cu
x
(x
<30) alloys,only the diffraction peaks with bcc-like structure were observed.The bcc-like lattice parameter decreases with Cu concentration.The XAFS results show that the local structure evolution of Fe atoms was different from that of Cu atoms.The local structures around Fe atoms had been greatly changed and its disorder evidently increased,but the Cu atoms maintain the original structure geometry.So,mechanically alloyed Fe
100-
x
Cu
x
is not a homogeneous supersaturated solid solution and consists of Fe-rich and Cu-rich regions.
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Some Ecological Characteristics of Burmoniscus Ocellatus
CHEN Guo-Xiao, CHEN Jun, LIAO Chong-Hui, LI Jian-Xiong
journal6 2002, 23 (
1
): 13-16.
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2246
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Based on data of the soil animals survey in many year, the ecological characters of B.ocellatus are analyzed and described in present paper.The distribution of population density is concerned with the shadow below the forest, moisture and the thickness of the defoliation.The dynamics of population is related to the rainfall.If the rainfall were too little or too much, its population would be reduced.Its decomposition of the deadwoods and defoliation has remarkable influence on the energy transformation of the forest ecosystems.
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Image Coding Scheme Based on Wavelet Transform
ZHU Gui-Hua
journal6 2002, 23 (
1
): 17-20.
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As a new type of multiresolution frequency transform theory, wavelet transform has been widely used in applied mathematics、physical and i
nform science. In image processing, especially in image compression, recently last ten years, investigations and applications of image compression with wavelet transforms are very active. By analyzing construction and vanishing moment properties of biorthogonal wavelets, we propose a very simple method by the solution of linear equations, so that a new wavelet construction method that contains parameters is presented. For various wavelet parameters, and based on properties, we discuss performance of quality and computation of restoration image by means of wavelets in this paper. When wavelet coefficients are simple integers, simulation experiment shows that the new method can retain both high compression performance and very good fast computational feature.
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Sufficiency for the Existence of Rm-EDGE CUT
OU Jian-Ping , ZHANG Fu-Ji
journal6 2002, 23 (
1
): 21-23.
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1912
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Rm-edge cut is such an edge cut that separates a connected graph into a disconnected one with no component having order less than m. Let G be a connected graph with order at least 2m. Write c(G) for the circumference of graph G, i.e., the length of the longest cycle in G. It is proved in this paper that graph G contains Rm-edge cuts if c(G) ≥m+1. The lower bound of c(G) is sharp to some extent.
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Global Existence of Solutions to Nonlinear HyperbolicEquations With Viscosity
LIU Fa-Gui
journal6 2002, 23 (
1
): 24-28.
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2184
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For Cauchy problem of nonlinear hyperbolic equation with viscosity,the global existence of solutions is obtained by introducing the entropy-entropy flux in the sense of Lax, and by using of the mothod of compensated compactness, the convergence of L∞ bounded approximating solutions is proved.
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The Growth of Solutions of Some Non-Homogeneous Linear Differential Equations
WANG Jun
journal6 2002, 23 (
1
): 29-31.
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Studying the growth of solutions of where is a non-constant polynomial,the following result is obtained:any solution of the above equation is of infinite order,and its hyper order is positive integer no greater than deg Q;thus improves some result given by Yang L Z.
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The Molecular Progress on the Study of Plant Self-Incompatibility
XU Guo-Hua, LI Chang-Qing, ZHANG Shao-Ling
journal6 2002, 23 (
1
): 32-37.
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There are two kinds of self-incompatibility (SI) in plant. One is sporophytic SI, the other is gametophytic SI. Here the latest progress in the area of genetic control and molecular mechanisms are elucidated.
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On the Sources of Cybernetics
XU Sheng-Jiang
journal6 2002, 23 (
1
): 38-43.
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In the science sources of cybernetics,automation is the basic propulsive force;its theoretical enlightenment mainly comes from biology;the technology is established in micro-current engineering;methodology of science guides people rightly.And at last,N.Wiener has accomplished the establishment of cybernetics by synthesizing the achievements of all aspects above.
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The Research on Damping Vibration Controlled in Electrorheological Fluids
ZHOU Xiao-Qing, WU Yun-Wen
journal6 2002, 23 (
1
): 44-47.
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2066
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Based on the principle that viscosity changes as electric field intensity in electrorheological fluids,movement of damping vibration controlled is brought about in electric field of direct current in electrorheological fluids,and the law is investigated by using disturbance method.The quantitative relation of damping vibration and electric field of direct current is obtained.
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Study on the Jellification Properties of the Ficus Pumila (L.) Gum
YAN Wen-Bin, YAO Mao-Jun, PENG Qing-Jing
journal6 2002, 23 (
1
): 48-50.
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2156
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The factors which affect the jellification of the ficus pumila (L.) Gum,such as pH,temprature and the influence of the Ca2+ are studied in this paper.It confirms the pH range ,the most suitable temperature to maintain the most proper colloidal state,and the influence of Ca2+ in different pH on the jellification of the ficus pumila (L.) Gum.
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The Investigation and Study on Resources of Medicinal Ferns in Wulingshan Region,China
CHEN Gong-Xi, CHEN Jiang-Gui, YI Shan-Xin, LIU Shi-Biao, LI Hu-Ming
journal6 2002, 23 (
1
): 51-54.
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Wulingshan region is located at 27°28′ to 30°05′N and 107°02′ to 111°35′E,from 189.4 m to 2 370 m above sea level and covers an area of Ca.100 000 km2.In this paper,some investigations and studies on resources of medicinal ferns in Wulingshan region have been reported.The result shows: (1) The flora is rich,there are 214 species belonging to 41 families and 80 genera of medicinal ferns in the region,the dominated taxa are Polypodiaceae,Dryopteridaceae,Athyriaceae,Pteridaceae,Selaginellaceae and Selaginella,Pteris,Asplenium,Polystichum,Lepisorus,Pyrrosia,Dryopterisl;(2) The geographic elements are complicated and East Asia element takes the largest proportion;(3) The plants are distributed unevenly ,most of species at the belt of lower-middling altitude (≤1 500 m);(4) There are six medicinal types,namely Antibacterial type,Anti-parasite type,Digestive system ailment medicine type,Respiratory system ailment medicine type,Urinary system ailment medicine type and External wound medicine type.Based on estimation of capacity of available resource,there are 79 species can be used directly,100 species can be used restrainedly and 35 species must be cons
erved grimly.In view of actual situation on medicinal fern natural resources of Wulingshan region,we think that we must exploit as quickly as possible on one side,and on the other side,we must launch scientific research on the resources.
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On Quasi-projective System
ZHAN Jian-Ming
journal6 2002, 23 (
1
): 55-56.
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2087
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Let S be a monoid,A is quasi-projective S -system if for every S -epimophism f:A→B and S-homomorphism g:A→B,there exists a S-homomorphism h:A→A such that fh=g.The properties of quasi-projective S -system are studied and two main results are obtained:(1) S is a(semi) perfect monoid if and only if for every (f.g.) right S-system have a quasi-projective cover S -system;(2) S is a right hereditary monoid if and only if every projective S -systemis quasi-projective.
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ASP and Its Application in Management Information System Based on Internet/Intranet
ZHONG Jia-Ming, TAN Li
journal6 2002, 23 (
1
): 57-60.
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1631
)
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Starting with analyzing the ASP'S working principles,its advantages and the design for its applied program,this paper,in accordance with Management Information System Based on web,discusses how to make use of ASP to solve the following issues: accession of Database,Distribution,the users' Identification Certificate.
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Experimental Studies on the Thermal Performance of All-Glass Evacuated Tubular Solar Water Heaters
SONG Ai-Guo
journal6 2002, 23 (
1
): 61-65.
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1845
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The thermal performance of all-glass evacuated tubular solar water heaters is analyzed by a large number of experimental data.Results show that mass area ratio (MAR) is a primary factor to average daily efficiency and instantaneous efficiency curve of tubular solar water heaters is not straight line.
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Parameter Estimation for Thermodynamic Model of Solution by Using of Genetic Algorithm
DONG Jun-Fang, ZENG Ying, LIN Jin-Qing
journal6 2002, 23 (
1
): 66-68.
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(
1989
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Genetic algorithm was used to estimate the parameters of thermodynamic model of solution,and a modified genetic algorithm was proposed by modifying the strategy of mutation and the mode of competition.DMF+water+1-propanol VLE system was taken as an example,and the results were compared with those of PWELL method.It is found that the optimization ability of genetic algorithm is much more powerful than that of POWELL method not only in binary composition system but also trinary composition system.
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The Adsorption of 2,4-binitro-phenol in Aqueous Solutions by Polyamide
XIE Zu-Fang, XIA Jin-Hong
journal6 2002, 23 (
1
): 69-73.
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The properties,optimal conditions and influencing factors for polyamide resin to adsorb 2,4-binitro-phenol from aqueous solutions have been investigated.The results show that polyamide has a better adsorption capability,and that the pH value is the main factor affecting adsorption;the initial rate of 2,4-binitro-phenol adsorption on polyamide is faster,and the middle rate is second-order with respect to its concentration.The adsorption process in solution exhibits Freundlich behavior and is mainly physical adsorption.The 2,4-binitro-phenol adsorbed on the resin can be eluted by 1% ammoniac solution quickly.
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Graft Copolymerization of Propyl Methacrylate Onto Sweet Patato Starch Initiated by Potassium Permangate-Acid
FU Wei-Chang, GU Ren-Yong, PENG Qing-Jing, HUANG Cheng
journal6 2002, 23 (
1
): 74-76.
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1732
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The graft copolymerization of propyl methacrylate onto sweet patato starch was carried out using patassium permangate-acid as initiator.The effect of various conditions on the graft polymerization was studied.The results show that when the concentration of the monomer is 1.0 mol/L,the concentration of the initiator is 1.5 mmol/L,the reaction temperature is 40~50 ℃,the reaction time is 1.5 h,high efficient grafting(EG%) can be achieved.
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Study on Treatment of Phosphor Wastewater With Chlorine Dioxide
PENG Qing-Jing, WANG Ji-Hui, ZHAO Xin, GAN Hai-Ming
journal6 2002, 23 (
1
): 77-79.
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Some factors inflnencing the effect of the treatment of phosphor wastewater with chlorine dioxide was studied.The experimental results showed that chlorine dioxide could oxidize phosphor and cyanide in wastewater.Under proper reaction condition,the oxidation yield of phosphor was 100%,and the oxidation yield of cyanide was over 90%.The first standard in GB 4283-84 could be attained after wastewater was treated with chlorine dioxide and lime.
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Analysis of Heterosis and Fertility of Combinations of Indica With Japonica and WCVs With Indica or Japonica
HU Yi-Hong, JIANG Xiao-Cheng, XIAO Hui-Hai, WANG Zhi
journal6 2002, 23 (
1
): 80-82.
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1716
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The F1 heterosis and fertility of combinations of LH422 or 02428 with Indica or Japonica and combinations of Indica with Japonica were inspected in this test.The results showed that F1 of M-201/Nihonmasari had a quite stronger heterosis on tillers per plant and grains weight per plant,F1 of WCVs with Indica or Japonica were of higher heterosis and of stronger fertility and would promote the rice output obviously, and LH422 had a stronger tendentiousness to Japonica,but 02428 has also a strong tendentiousness to Indica.
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Influence of Treadmill Training and Acute Exhaustive Exercise on Ca
2+
- ATPase Activity in Mitochondria of Different Types of Muscle in Rats
WEI Yuan, LUO Gui-Zhen, LIN Shi-Mei, XU Shi-De
journal6 2002, 23 (
1
): 83-85.
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2186
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Thirty Wistar male rats were randomly divided into 3 groups : quiet group (A) ;exhaustive exercise group (B) ;training and exhaustive exercise group (C).Ca
2+
-ATPase activity in mitochondria of different types of muscle were determined .The results showed : 1) Ca
2+
-ATPase activity in mitochondria of the white muscle was higher than that of the red muscle at rest ;2) After exhaustive exercise,Ca
2+
-ATPase activity in mitochondria of the white muscle decreased but that of the red muscle incrased;3) The change of Ca
2+
-ATPase activity in mitochondria of the white muscle was larger through five weeks training .The above data suggest that the progressively increase load training takes positive effect only for the white muscle.
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The Research of Matrix Decomposition by Plus and Multiplication Operation
CHEN Huan-Ran
journal6 2002, 23 (
1
): 86-88.
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(
1922
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In this paper,it is studied that a matrix is represented into the forms of sum or product of some simple or special matrix.
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A New Method to Determine Hidden Note Number in Neural Network
ZHANG Qing-Liang, LI Xian-Ming
journal6 2002, 23 (
1
): 89-91.
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2154
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This paper puts forward a new method to determine hidden note number in neural network.This method is with little computational quantity and is convenient and valuable in application.
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Stably Finite Rings,Rings Satisfying the Rank Condition,and Grothendieck Group
LI Xian-Ming, LI Qi-Sheng
journal6 2002, 23 (
1
): 92-93.
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1804
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In this paper,some new characterizations for stably finite rings or rings satisfying rank condition are given by using its Grothendieck group,then some well known conclusions are proved by using new method.
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Accounting Treatment to Liability Security for Other Enterprises
LIU Gu-Jin
journal6 2002, 23 (
1
): 94-96.
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(
1956
)
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According to the conservatism of conducting accounting treatment,it is suggested in this paper that the contingent assets be defined separately if the debtor can clear his debts;otherwise,the contingent assets should not be defined,but should be reported in the notes of balance sheet.It is also suggested to establish subject of “ contingent asset",accounting the mortgage security assets and the hypothecate security assets on the date of balance sheet,which will be converted into money,sold off at reduced prices,or sold off by the debtor ,for he is unable to clear his debts.The content of the subject will be listed alone in the balance sheet so as to be distinguished from other asset items.By this way,accounting treatment to contingent liabilities formed by all kinds of security pattern can be conducted.
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On the Euler's Factor and Its Order of Odd Perfect Numbers
LE Mao-Hua
journal6 2002, 23 (
2
): 1-2.
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(
1952
)
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Let n be an odd perfect number,and let π,α denote the Euler's factor and its order of n respectively.In this paper we prove that if every non-Euler q of n satisfies q≡3(mod 4),then π≡α(mod 8).
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Computation of Bistatic RCS of Cylinders Filled WithLarge Loss Dielectric by Moment Method
DONG Wen-Feng, FU Wen-Bin, LIU Jian-Hao, ZHOU Jian
journal6 2002, 23 (
2
): 3-6.
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1906
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Numerical computation of bistatic RCS is carried out by moment method for some infinite long cylinders filled with large loss dielectric (LLD) used in radar anti-stealthy technology and design of microwave dark rooms, in case of TM incident of wave. The simulation shows that the scattering is weak for materials with large permittivity and low loss. The electromagnetic parameters of filled dielectric have obvious effect on the scattering of the cylinders when ka0 is small, however, the effect becomes weaker with the increase of the angle between the cylinder to the two stations. When ka0 is large, the influence of electromagnetic parameters of the filled dielectric to RCS is weak, while the scattering energy gradually concentrates to the backward direction.
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Design of a Multi-Media Whiteboard System on Internet
LI Li-Ming, CAI Li-Jun, HU Jin, SHI Rong-Hua, LI Fang-Jun
journal6 2002, 23 (
2
): 7-11.
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According to the application of the whiteboard in CSCW,a multi-media share whiteboard system on Internet is designed,which,aiming at the safety strategy required by the whiteboard,provides relevant safety service and presents approaches to realization of system information and object.
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Allergy of Huwen Analgesic Peptide (HWAP-1)
LIANG Hai-Ying, ZHANG Xiao-Yuan, LIANG Song-Ping
journal6 2002, 23 (
2
): 12-14.
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2351
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HWAP-1 was studied on allergy by whole body allergic test and skin part allergic test.The results showed that HWAP-1 did not cause whole body allergic and skin part allergic.
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Disposal of Chromium (VI) in Waste Water by Titania Compound Adsorbent
LU Xiu-Guo, LIANG Shu-Xuan, YU Bo-Qu
journal6 2002, 23 (
2
): 15-18.
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2046
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The experimental study using a titania compound adsorbent to dispose the chromium in waste water is compared with using the active carbon. The result shows,if the content of the chromium in waster water is 80 mg/L and the adsorbent is titania, the removal rate of chromium will reach 99.5%, which is obviously higher than using active carbon adsorbent; what's more, the desorption rate of chromium can reach 99.6%, and the adsorbent can be used again after regeneration.
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The Observation of to Normal Distribution of Population
CHEN Bi-Hong
journal6 2002, 23 (
2
): 19-23.
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The simplest model in statistics,the observation of normal distribution of population is analysed in this paper,by using the theory of observation process.Though the problem has been solved,some new conclusions are given in this paper.According to the viewpoint of observation process,it is important not to concern with estimating value,but with the knowledge distribution about observed object,or posterior probability distribution,which is used to make decision.But in the process of making decision,there may be some process equivalent to estimation.This point is used to do analysis,and thus some conclusion which is not found before is drawn to give a foundation to further analysis.
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Application of Virtual Reality in Micro-Accelerometer Design
XIE Shao-Rong, LUO Jun, ZHAO Xin, LU Gui-Zhang
journal6 2002, 23 (
2
): 24-27.
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The design method with virtual reality is specially propitious to develop micro-structure parts, similarly micro_accerlerometer. In this paper, the corresponding implementation steps of designing virtual micro-accelerometer are given. The virtual environment based on micro computer is established. The micro-accelerometer working in the virtual environment shows that the idea of design method for micro-accelerometer with virtual reality is feasible and the implementation steps are correct.
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On the Anti-Symmetric Solution of Linear Matrix Equations
JIANG Li-Qun, MO Hong-Min, LIU Luo-Fei
journal6 2002, 23 (
2
): 28-30.
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2208
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The anti-symmetric solutions of linear equations AX=C and AXB=C are considered.The necessary and sufficient conditions for the consistency of the equations with an anti-symmetric condition on solutions are derived using the full-rank decomposition,generalized inverse and generalized singular-value decomposition.
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High Sensitive SO
2
-4
Ion-Selective Electrode
DUAN You-Gou
journal6 2002, 23 (
2
): 31-33.
Abstract
(
1971
)
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(482KB)(
1718
)
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A PVC membrance SO
2
-4
ion-electrode made up of a electroactive substance and plasticiser,was reported in this paper.The electroative substance was composed of 2-Aminperimidine and SO
2
-4
.The plasticiser was made up of DBP.The experiment made clear that the ion-electrode had good selectivity and high sensitivity about SO
2
-4
.The electrode gave a linear response range from 5.0×10
-7
mol·L
-1
to 1.0×10
-1
mol·L
-1
.This electrode has been used for determining SO
2
-4
in water.The result was satifactory.
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Treatment of the Electrolytic Mangan Wastewater byIron Chipping Microelectrolysis
OuYang-Yu-Zhu , SHEN Yang, LI Qing-Ping, LI Jian-Hua, XU Jing-Ming
journal6 2002, 23 (
2
): 34-37.
Abstract
(
2006
)
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)
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The electrolytic mangan wastewater was processed by iron chipping.The factors of iron chipping amount, reaction time and the influence of wastewater pH on the purgation ratio of Cr
6+
,Mn
2+
were investigated. The results show that under usual temperature when amount of iron chipping is 15%, wastewater pH is 4.00, reaction time is 120 min, Cr
6+
,Mn
2+
and total chromium purgation ratio were 99.7% and 99.2%.when it was used to practice the treatment electrolytic mangan wastewater, purgation ratio of Cr
6+
,Mn
2+
was 99.45% and 95.53%.
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The GC/MS Testing of Essential Oil and the Valeriana in Xiang-e-yu-qian Areas
GU Li
journal6 2002, 23 (
2
): 38-42.
Abstract
(
1902
)
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GC/MS has been used to test the chemical components of essential oil of the perfume plants of Valeriana such as Valeriana pseudofficinais C.Y.Cheng et H.B.Cheng,V.faurieri Briq and V.steeenoptena in the areas of Xiang-e-yu-qian.The conclusion has been drawn that the essential oil of perfume plants is of high content of main chemical components and of effective components. The three kinds of Valeriana plants are excellent ones.
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On Cultural Choice for the Development of Traditional Ethnic Sports
LONG Pei-Lin
journal6 2002, 23 (
2
): 43-45.
Abstract
(
1950
)
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As a kind of traditional ethnic sport among different nationalities in Hunan-Hubei-Chongqing-Guizhou border region,long-feet-horse(something like stilts) has become a part of P.E. teaching and national sports competition. After analysing its modernized transformation,the difference between tradional ethnic sports and modern sports has been discovered.This thesis provides theoretical refference for modernizing development of traditional ethnic sports under new social condition and new cultural choice.
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Integral Operator Solving Process of Abstract Kinetic Equation With a Parameter and Reflecting Boundary Condition
YU De-Jian, LIU Xiao-Ping
Journal of Jishou University(Natural Sciences Edition) 2002, 23 (
2
): 46-51.
Abstract
(
1883
)
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(2144KB)(
1180
)
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Some kind of abstract Volterra linear integral operators is studied in order to solve the boundary value problems of abstract kinetic equation. The solving process is named as integral operator solving process, thus it is fended provide a new, simple and immediate solving process of the boundary value problems of abstract kinetic equations. In the paper we solve the boundary value problems of abstract kinetic equation with a parameter and reflecting boundary condition by the integral operator solving process.
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On the First Power Mean of Dirichlet L-FunctionsWith the Weight of Kloostermann Sums
GAO Li
journal6 2002, 23 (
2
): 52-55.
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(
2113
)
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1201
)
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By using estimation of the classical kloostermann sum,estimation of the trigonomitric sum and the analytic method to study the first power mean of Dirichlet L-functions with the weight of general Kloostermann sum,a sharp asymptotic formula is given:∑x≠x0|S(m,n,x,q)|2|L(1,x)|=φ2(q)∑′∞n=1(r2(n))/(n2)+O(q3/2+ε).
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