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Attribute Reduction of Hybrid Decision Information Systems Based on Fuzzy Conditional Information Entropy
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作者 Xiaoqin Ma Jun Wang +1 位作者 Wenchang Yu Qinli Zhang 《Computers, Materials & Continua》 SCIE EI 2024年第5期2063-2083,共21页
The presence of numerous uncertainties in hybrid decision information systems(HDISs)renders attribute reduction a formidable task.Currently available attribute reduction algorithms,including those based on Pawlak attr... The presence of numerous uncertainties in hybrid decision information systems(HDISs)renders attribute reduction a formidable task.Currently available attribute reduction algorithms,including those based on Pawlak attribute importance,Skowron discernibility matrix,and information entropy,struggle to effectively manages multiple uncertainties simultaneously in HDISs like the precise measurement of disparities between nominal attribute values,and attributes with fuzzy boundaries and abnormal values.In order to address the aforementioned issues,this paper delves into the study of attribute reduction withinHDISs.First of all,a novel metric based on the decision attribute is introduced to solve the problem of accurately measuring the differences between nominal attribute values.The newly introduced distance metric has been christened the supervised distance that can effectively quantify the differences between the nominal attribute values.Then,based on the newly developed metric,a novel fuzzy relationship is defined from the perspective of“feedback on parity of attribute values to attribute sets”.This new fuzzy relationship serves as a valuable tool in addressing the challenges posed by abnormal attribute values.Furthermore,leveraging the newly introduced fuzzy relationship,the fuzzy conditional information entropy is defined as a solution to the challenges posed by fuzzy attributes.It effectively quantifies the uncertainty associated with fuzzy attribute values,thereby providing a robust framework for handling fuzzy information in hybrid information systems.Finally,an algorithm for attribute reduction utilizing the fuzzy conditional information entropy is presented.The experimental results on 12 datasets show that the average reduction rate of our algorithm reaches 84.04%,and the classification accuracy is improved by 3.91%compared to the original dataset,and by an average of 11.25%compared to the other 9 state-of-the-art reduction algorithms.The comprehensive analysis of these research results clearly indicates that our algorithm is highly effective in managing the intricate uncertainties inherent in hybrid data. 展开更多
关键词 Hybrid decision information systems fuzzy conditional information entropy attribute reduction fuzzy relationship rough set theory(RST)
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On the Translation of Exhibits in Chizhou Xiushanmen Museum
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作者 张龙然 《海外英语》 2016年第15期160-163,165,共5页
Chizhou Xiushanmen Museum is a comprehensive historic museum at the regional level,and its collections boast distinctive regional and national features.The thesis studies the English translations for cultural relics d... Chizhou Xiushanmen Museum is a comprehensive historic museum at the regional level,and its collections boast distinctive regional and national features.The thesis studies the English translations for cultural relics displayed in Chizhou Xiushanmen Museum,in an attempt to formulate some strategies for such translation.Analysis of the various translation techniques employed in the translation and their application helps maximize the interpretation of the cultural factors. 展开更多
关键词 Xiushanmen Museum EXHIBITS English translation CULTURE STRATEGIES
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Quantum properties of nonclassical states generated by an optomechanical system with catalytic quantum scissors
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作者 李恒梅 杨保华 +1 位作者 袁洪春 许业军 《Chinese Physics B》 SCIE EI CAS CSCD 2023年第1期311-318,共8页
A scheme is proposed to investigate the non-classical states generated by a quantum scissors device(QSD) operating on the the cavity mode of an optomechanical system. When the catalytic QSD acts on the cavity mode of ... A scheme is proposed to investigate the non-classical states generated by a quantum scissors device(QSD) operating on the the cavity mode of an optomechanical system. When the catalytic QSD acts on the cavity mode of the optomechanical system, the resulting state contains only the vacuum, single-photon and two-photon states depending upon the coupling parameter of the optomechanical system as well as the transmission coefficients of beam splitters(BSs). Especially, the output state is just a class of multicomponent cat state truncations at time t = 2π by choosing the appropriate value of coupling parameter. We discuss the success probability of such a state and the fidelity between the output state and input state via QSD. Then the linear entropy is used to investigate the entanglement between the two subsystems, finding that QSD operation can enhance their entanglement degree. Furthermore, we also derive the analytical expression of the Wigner function(WF) for the cavity mode via QSD and numerically analyze the WF distribution in phase space at time t =2π. These results show that the high non-classicality of output state can always be achieved by modulating the coupling parameter of the optomechanical system as well as the transmittance of BSs. 展开更多
关键词 optomechanical system quantum scissors device quantum state engineering linear entropy
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Electromechanical and photoelectric properties of a novel semiconducting Janus InGaSSe monolayer
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作者 Li Zhong Xiaobao Li +1 位作者 Wei Wang Xinle Xiao 《Journal of Semiconductors》 EI CAS CSCD 2023年第1期85-93,共9页
In recent years,Janus two-dimensional(2D)materials have received extensive research interests because of their outstanding electronic,mechanical,electromechanical,and optoelectronic properties.In this work,we explore ... In recent years,Janus two-dimensional(2D)materials have received extensive research interests because of their outstanding electronic,mechanical,electromechanical,and optoelectronic properties.In this work,we explore the structural,electromechanical,and optoelectronic properties of a novel hypothesized Janus InGaSSe monolayer by means of first-principles calculations.It is confirmed that the Janus InGaSSe monolayer indeed show extraordinary charge transport properties with intrinsic electron mobility of 48139 cm^(2)/(V·s)and hole mobility of 16311 cm^(2)/(V·s).Both uniaxial and biaxial strains can effectively tune its electronic property.Moreover,the Janus InGaSSe monolayer possesses excellent piezoelectric property along both inplane and out-of-plane directions.The results of this work imply that the Janus InGaSSe monolayer is in fact an efficient photocatalyst candidate,and may provide useful guidelines for the discovery of other new 2D photocatalytic and piezoelectric materials. 展开更多
关键词 Janus InGaSSe monolayer SEMICONDUCTING photocatalyst PIEZOELECTRICITY
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Intelligent Oxygen-Enriched and “Sterilized” Underground Gyms: Background, Dilemmas and Pathways
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作者 Jianzhong Sun Lili Jin +1 位作者 Chan Lin Lei Wang 《Health》 2023年第11期1171-1190,共20页
The in-depth integration of healthy China with national fitness and the hope to achieve the long-term goal of “leading Sports Nation” by 2035, can’t be realized without gyms where people do physical exercise. The i... The in-depth integration of healthy China with national fitness and the hope to achieve the long-term goal of “leading Sports Nation” by 2035, can’t be realized without gyms where people do physical exercise. The international academic community recognizes that the 21<sup>st</sup> century is the golden time for sustainable and quality development. Taking a national perspective, authors of this paper studied the feasibility of building underground gyms in China through the approach of interdisciplinary research, as well as its dilemmas and pathways, and found out that quality development of underground space can effectively address challenges for large cities in China by increasing the resilience of urban area, and give full engage to underground capacity in striving for the goal of carbon peak and carbon neutrality. Underground gyms can also be incorporated into resident’s 15-min fitness circle, satisfying people’s needs of doing exercise at any time and in an easily-accessible place. However, China’s underground area development has been hindered by unclear property rights, chaotic action and utilization, and relatively backward laws and regulations. Moreover, building underground gyms still has to solve many problems such as poor air quality, severe sweat smell, and excessive bacteria and viruses. It is suggested that the capable authorities shall first clarify laws and regulations over place compound utilization, property rights and fire protection to facilitate the process of building underground gyms;encourage fitness practitioners to explore underground areas as gyms, and transfer their ground business to underground;then produce an intelligent and systematic solution of air quality improvement featuring oxygen-enrichment and “sterilization” with integration, a variety of instruments to monitor air quality of indoor gyms in real-time, to realize automatic control and management, and truly create worry-free and oxygen-enriched underground gyms with no sweat smell and no fear of bacteria and viruses. 展开更多
关键词 Underground Space Gyms Air Quality INTELLIGENCE “Sterilization”
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Line Fault Detection of DC Distribution Networks Using the Artificial Neural Network
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作者 Xunyou Zhang Chuanyang Liu Zuo Sun 《Energy Engineering》 EI 2023年第7期1667-1683,共17页
ADC distribution network is an effective solution for increasing renewable energy utilization with distinct benefits,such as high efficiency and easy control.However,a sudden increase in the current after the occurren... ADC distribution network is an effective solution for increasing renewable energy utilization with distinct benefits,such as high efficiency and easy control.However,a sudden increase in the current after the occurrence of faults in the network may adversely affect network stability.This study proposes an artificial neural network(ANN)-based fault detection and protection method for DC distribution networks.The ANN is applied to a classifier for different faults ontheDC line.The backpropagationneuralnetwork is used to predict the line current,and the fault detection threshold is obtained on the basis of the difference between the predicted current and the actual current.The proposed method only uses local signals,with no requirement of a strict communication link.Simulation experiments are conducted for the proposed algorithm on a two-terminal DC distribution network modeled in the PSCAD/EMTDC and developed on the MATLAB platform.The results confirm that the proposed method can accurately detect and classify line faults within a few milliseconds and is not affected by fault locations,fault resistance,noise,and communication delay. 展开更多
关键词 Artificial neural network DC distribution network fault detection
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Symmetry Reductions, Exact Solutions and Conservation Laws of Asymmetric Nizhnik-Novikov-Veselov Equation 被引量:5
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作者 WANG Ling DONG Zhong-Zhou LIU Xi-Qiang 《Communications in Theoretical Physics》 SCIE CAS CSCD 2008年第1期1-8,共8页
由使用一个直接对称方法,我们得到不对称的 Nizhnik Novikov Veselov 方程(ANNV ) 的对称。拿特殊情况,我们有有限维的对称。由使用对称的相等的向量,我们构造八维的对称代数学并且得到组不变的答案的最佳的系统。到最佳的系统的每... 由使用一个直接对称方法,我们得到不对称的 Nizhnik Novikov Veselov 方程(ANNV ) 的对称。拿特殊情况,我们有有限维的对称。由使用对称的相等的向量,我们构造八维的对称代数学并且得到组不变的答案的最佳的系统。到最佳的系统的每个盒子,我们减少 ANNV 方程并且获得一些解决方案到减少的方程。而且,我们发现一些 ANNV 方程的新明确的答案。最后,我们给 ANNV 方程的能量守恒定律。 展开更多
关键词 直接对称方法 ANNV方程 最佳系统 外部解决方法 守恒定律
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Syntheses,Structures and Luminescent Properties of Cd(Ⅱ)/Zn(Ⅱ) Coordination Polymers Based on the Flexible 4-Substituted Bis(1,2,4-triazole) Ligand 被引量:3
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作者 彭艳芬 刘天宝 吴秋艳 《Chinese Journal of Structural Chemistry》 SCIE CAS CSCD 2017年第7期1156-1163,共8页
Two new cadmium(II) and zinc(II) coordination polymers, {[Cd(btre)0.5- (mip)(H2O)2]·H2O}n (1) and [Zn(btre)(mip)]n (2), were synthesized at room temperature condition and characterized by IR spe... Two new cadmium(II) and zinc(II) coordination polymers, {[Cd(btre)0.5- (mip)(H2O)2]·H2O}n (1) and [Zn(btre)(mip)]n (2), were synthesized at room temperature condition and characterized by IR spectra, elemental analyses, single-crystal and powder X-ray diffractions (btre = 1,2-bis(1,2,4-triazol-4-yl)ethane, H2mip = 5-methyl-1,3-benzenedicarboxylic acid). Complex 1 belongs to the triclinic system, P space group, with a = 8.9830(6), b = 10.0579(6), c = 10.2479(9) , α = 98.837(6), β = 115.975(8), γ = 106.370(6)°, V = 756.30(11) 3 and Z = 2; complex 2 crystallizes in monoclinic, space group P21/c, with a = 7.0332(3), b = 14.9947(7), c = 15.9689(7) ?, β = 97.1170(10)°, V = 1671.12(13) ?3 and Z = 4. Compounds 1 and 2 based on the same N/O-donor ligands show different structures. The one-dimensional chains of 1 are further linked by hydrogen bonding and π-π interactions to yield a three-dimensional supramolecular structure. The two-dimensional (6,3) networks of 2 are further extended into a 3D framework via π-π interactions. Thermal stabilities and luminescence of 1 and 2 were investigated. 展开更多
关键词 1 2-bis(1 2 4-triazol-4-yl)ethane 2D (6 3) network luminescence coordination polymer
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A novel method for chemistry tabulation of strained premixed/stratified flames based on principal component analysis 被引量:4
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作者 Peng TANG Hongda ZHANG +2 位作者 Taohong YE Zhou YU Zhaoyang XIA 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI CSCD 2018年第6期855-866,共12页
The principal component analysis (PCA) is used to analyze the high dimen- sional chemistry data of laminar premixed/stratified flames under strain effects. The first few principal components (PCs) with larger cont... The principal component analysis (PCA) is used to analyze the high dimen- sional chemistry data of laminar premixed/stratified flames under strain effects. The first few principal components (PCs) with larger contribution ratios axe chosen as the tabu- lated scalars to build the look-up chemistry table. Prior tests show that strained premixed flame structure can be well reconstructed. To highlight the physical meanings of the tabu- lated scalars in stratified flames, a modified PCA method is developed, where the mixture fraction is used to replace one of the PCs with the highest correlation coefficient. The other two tabulated scalars are then modified with the Schmidt orthogonalization. The modified tabulated scalars not only have clear physical meanings, but also contain passive scalars. The PCA method has good commonality, and can be extended for building the thermo-chemistry table including strain rate effects when different fuels are used. 展开更多
关键词 premixed flame stratified flame strain rate principal component analysis(PCA) chemistry table
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4-Tert-butyl-N′-((2-Hydroxynaphthalen-1-yl)methylene)Benzohydrazide:Synthesis,Crystal Structure and Recognition Properties 被引量:1
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作者 刘天宝 彭艳芬 +2 位作者 桂美芳 昌杰 汪新 《Chinese Journal of Structural Chemistry》 SCIE CAS CSCD 2018年第9期1426-1432,共7页
A new naphthol-based compound 1, C22 H22 N2 O2, has been designed and synthesized. The structure of the title compound 1 was confirmed by IR, 1 H NMR, 13 C NMR, H RMS, and X-ray single-crystal diffraction. The crystal... A new naphthol-based compound 1, C22 H22 N2 O2, has been designed and synthesized. The structure of the title compound 1 was confirmed by IR, 1 H NMR, 13 C NMR, H RMS, and X-ray single-crystal diffraction. The crystal belongs to the monoclinic system, space group P21/c, with a = 12.888(9), b = 15.543(10), c = 9.119(6) ?, β = 94.05(3)°, V = 1822(2) ?3, Z = 4, Dc = 1.263 g/cm3, Mr = 346.41, μ = 0.081 mm-1, F(000) = 736.0, the final R = 0.0452 and wR = 0.1142 for 3404 observed reflections with(I 〉 2σ(I)). The crystal structure of 1 is stabilized by O–H···N, N–H···O, C–H···O hydrogen bonds and π-π interactions. The spectroscopic studies of 1 toward various metal ions were also investigated in 25%(V/V) ethanol aqueous solution, and the result showed that it can selectively recognize Zn2+ with fluorescence enhancement. 展开更多
关键词 NAPHTHOL crystal structure Zn2+ recognition property
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Preparation and property of a novel soluble electron transport POSS-based hybrid material 被引量:1
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作者 Xin Wang Juan Shen +2 位作者 Jin Cui Wu Min Fang Hong Yao Xu 《Chinese Chemical Letters》 SCIE CAS CSCD 2008年第6期634-638,共5页
A novel POSS-based organic/inorganic hybrid covalently attached at molecular level, 2-(4-(allyloxy)phenyl)-5-(4-(octyloxy)phenyl)-1,3,4-oxadiazole-POSS (6) (abbreviated as oxadiazole-POSS) was synthesized ... A novel POSS-based organic/inorganic hybrid covalently attached at molecular level, 2-(4-(allyloxy)phenyl)-5-(4-(octyloxy)phenyl)-1,3,4-oxadiazole-POSS (6) (abbreviated as oxadiazole-POSS) was synthesized by Pt(dcp) catalyst. The hybrid was soluble in common organic solvents such as CHCl3, toluene, C2H4Cl2, and THF. Its structures and properties were characterized and evaluated with FTIR, 1^H NMR, 13^C NMR,29^Si NMR, EA, TGA, DSC, GPC, and CV, respectively. The results show that the novel hybrid possesses high thermal stability and good electron injection ability. 展开更多
关键词 CV Electron transport OXADIAZOLE POSS Thermal stability
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Similarity Reductions of(2+1)-Dimensional Multi-component Broer-Kaup System 被引量:1
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作者 DONG Zhong-Zhou CHEN Yong WANG Ling 《Communications in Theoretical Physics》 SCIE CAS CSCD 2008年第10期803-808,共6页
Painlevé property of the (2+1)-dimensional multi-component Broer-Kaup (BK)system is considered byusing the standard Weiss-Kruskal approaches.Applying the Clarkson and Kruskal (CK) direct method to the (2+1)-dimen... Painlevé property of the (2+1)-dimensional multi-component Broer-Kaup (BK)system is considered byusing the standard Weiss-Kruskal approaches.Applying the Clarkson and Kruskal (CK) direct method to the (2+1)-dimensional multi-component BK system,some types of similarity reductions are obtained.By solving the reductions,one can get the solutions of the (2+1)-dimensional multi-component BK system. 展开更多
关键词 相似性归约 直接方法 多空间系统 数学
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Enhancing stationary entanglement between two optomechanical oscillators by Coulomb interaction with Kerr medium
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作者 杨天乐 朱陈龙 +1 位作者 刘声 许业军 《Chinese Physics B》 SCIE EI CAS CSCD 2021年第12期406-412,共7页
We theoretically study the stationary entanglement of two charged nanomechanical oscillators coupling via Coulomb interaction in an optomechanical system with an additional Kerr medium.We show that the degree of entan... We theoretically study the stationary entanglement of two charged nanomechanical oscillators coupling via Coulomb interaction in an optomechanical system with an additional Kerr medium.We show that the degree of entanglement between two nanomechanical oscillators is suppressed by Kerr interaction due to photon blockade and enhanced by Coulomb coupling strength.We also show other parameters for adjusting and obtaining entanglement,such as the driving power and the frequencies of the two oscillators,and the entanglement is robust against temperature.Our study proves a way for adjusting stationary entanglement between two optomechanical oscillators by Coulomb interaction and Kerr medium. 展开更多
关键词 ENTANGLEMENT Kerr interaction Coulomb interaction OPTOMECHANICS
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Symmetry Reduction and Exact Solutions of the(3+1)-Dimensional Breaking Soliton Equation
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作者 WANG Ling DONG Zhong-Zhou 《Communications in Theoretical Physics》 SCIE CAS CSCD 2008年第10期832-840,共9页
By means of the generalized direct method,a relationship is constructed between the new solutions andthe old ones of the (3+1)-dimensional breaking soliton equation.Based on the relationship,a new solution is obtained... By means of the generalized direct method,a relationship is constructed between the new solutions andthe old ones of the (3+1)-dimensional breaking soliton equation.Based on the relationship,a new solution is obtainedby using a given solution of the equation.The symmetry is also obtained for the (3+1)-dimensional breaking solitonequation.By using the equivalent vector of the symmetry,we construct a seven-dimensional symmetry algebra and getthe optimal system of group-invariant solutions.To every case of the optimal system,the (3+1)-dimensional breakingsoliton equation is reduced and some solutions to the reduced equations are obtained.Furthermore,some new explicitsolutions are found for the (3+1)-dimensional breaking soliton equation. 展开更多
关键词 孤立子 广义直接方法 对称性 求解方法
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A Glucose-Responsive Enzymatic Electrode on Carbon Nanodots for Glucose Biosensor and Glucose/Air Biofuel Cell
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作者 Yue Gao Guozhi Wu Feng Gao 《American Journal of Analytical Chemistry》 2019年第9期394-403,共10页
In this study, an enzymatic electrode for glucose biosensing and bioanode of glucose/air biofuel cell has been fabricated by immobilizing poly (methylene green) (polyMG) for electrocatalytic NADH oxidation and NAD+-de... In this study, an enzymatic electrode for glucose biosensing and bioanode of glucose/air biofuel cell has been fabricated by immobilizing poly (methylene green) (polyMG) for electrocatalytic NADH oxidation and NAD+-dependent glucose dehydrogenase (GDH) for oxidizing glucose on carbon nanodots (CNDs). The polyMG-CNDscomposites obtained by electro-polymerization of dye MG molecules adsorbed on CNDs display excellent electrocatalytic activity toward NADH electro-oxidation at a low overpotential of ca. -0.10 V (vs. Ag/AgCl) and the integrated enzymatic electrode shows fast response to glucose electrooxidation. Using the fabricated GDH-based enzymatic electrode, a glucose biosensor was constructed and exhibits a wide linear dynamic range from 0 to 8 mM, a low detection limit of 0.02 μM (S/N = 3), and fast response time (ca. 4 s) under the optimized conditions. The developed glucose biosensor was used to detect glucose content in human blood with satisfactory results. The fabricated GDH-based enzymatic electrode was also employed as bioanode to assembly a glucose/air biofuel cell with the laccase-CNDs/GC as the biocathode. The maximum power density delivered by the assembled glucose/air biofuel cell reaches 3.1 μW·cm-2 at a cell voltage of 0.22 V in real sample fruit juice. The present study demonstrates that potential applications of GDH-based CNDs electrode in analytical and biomedical measurements. 展开更多
关键词 CARBON NANODOTS GLUCOSE DEHYDROGENASE LACCASE METHYLENE Green Biosensor Biofuel Cell
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Multiple Dimensions Convey Design and Application in CIS based on CG Technique
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作者 Weijun Yu 《International Journal of Technology Management》 2015年第1期97-99,共3页
关键词 艺术设计 CG技术 应用 计算机辅助设计 CIS 维度 三维图形显示 人机交互
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Chemical constituents and theiranti-infective activity of Paeonia suffruticosa
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作者 Yang Wu Si-Yun Liu +1 位作者 Chun-Hua Lu Yue-Mao Shen 《TMR Integrative Medicine》 2022年第25期1-5,共5页
Objective:Research the chemical constituents of Paeonia suffruticosa that are responsible for its anti-infective properties.Methods:Several column chromatographic methods were used to purify the chemical constituents ... Objective:Research the chemical constituents of Paeonia suffruticosa that are responsible for its anti-infective properties.Methods:Several column chromatographic methods were used to purify the chemical constituents from P.suffruticosa,including medium pressure liquid chromatography,Sephadex LH-20,and normal silica gel.A disc diffusion method was used to screen for antibacterial activity,and their anti-virulence activity was assessed on the type III secretion system(T3SS)of Salmonella pathogenicity island 1(SPI-1)in Salmonella enterica serovar Typhimurium UK-1 g 8956 by SDS-PAGE and western blots.Results:Twenty-one compounds were identified.Compounds 7,8 and 17 showed moderate activity against S.aureus ATCC25923,compounds 8,9 and 10 showed weak activities against B.subtilis ACCC11060.Meanwhile,phenols(14-18)and flavonoids(20 and 21)inhibited T3SS protein secretion of S.typhimurium without affecting bacterial growth.Furthermore,a strong inhibitory effect was observed for 17 and 20 on SPI-1 mediated invasion of HeLa cells.Additionally,no toxicity was observed for these compounds.Conclusion:P.suffruticosa has anti-infective properties due in part to the fact that phenols and flavonoids can block the secretion of T3SS-associated protein effectors. 展开更多
关键词 Paeonia suffruticosa anti-infective activity type III secretion system phenols and flavonoids
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Analysing Individual Income Tax Planning in Colleges and Universities——Based on the Normal Wage Income and Annual Salary of One-time Bonus Tax
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作者 LI Xiao-hua 《科技视界》 2013年第28期157-157,共1页
Paying personal income tax is related to the vital interests of each faculty.In order to improve the faculty’s enthusiasm for work,it's very essential to make a plan for paying personal income tax.Based on the me... Paying personal income tax is related to the vital interests of each faculty.In order to improve the faculty’s enthusiasm for work,it's very essential to make a plan for paying personal income tax.Based on the method of paying personal income tax,this essay gives a strategic analysis of tax planning with a combination of the university faculty’s actual salary situation. 展开更多
关键词 个人所得税 教师 家庭收入 工资情况
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On the differences Between Body Language in China and America From the perspective of Power Distance
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作者 HOU Ting-ting 《科技视界》 2016年第22期50-50,共1页
Over the past decades,quite a lot of scholars both in and out of China have dedicated themselves to the research of body language and a great number of works have been published to give impetus to the study of body la... Over the past decades,quite a lot of scholars both in and out of China have dedicated themselves to the research of body language and a great number of works have been published to give impetus to the study of body language.The paper aims to study the differences of body language in China and America from the perspective of power distance to help people from different cultural backgrounds achieve a successful intercultural communication and avoid conflict as much as possible. 展开更多
关键词 肢体语言 电力距离 差额 透视图
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Some Convergence Properties for Weighted Sums of Martingale Difference Random Vectors
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作者 Yi WU Xue Jun WANG 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2024年第4期1127-1142,共16页
Let{X_(ni),F_(ni);1≤i≤n,n≥1}be an array of R^(d)martingale difference random vectors and{A_(ni),1≤i≤n,n≥1}be an array of m×d matrices of real numbers.In this paper,the Marcinkiewicz-Zygmund type weak law of... Let{X_(ni),F_(ni);1≤i≤n,n≥1}be an array of R^(d)martingale difference random vectors and{A_(ni),1≤i≤n,n≥1}be an array of m×d matrices of real numbers.In this paper,the Marcinkiewicz-Zygmund type weak law of large numbers for maximal weighted sums of martingale difference random vectors is obtained with not necessarily finite p-th(1<p<2)moments.Moreover,the complete convergence and strong law of large numbers are established under some mild conditions.An application to multivariate simple linear regression model is also provided. 展开更多
关键词 Martingale difference random vectors weighted sums Marcinkiewicz–Zygmund type weak law of large numbers complete convergence strong law of large numbers multivariate simple linear regression model
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