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Spacelike Framed Curves with Lightlike Components and Singularities of Their Evolutes and Focal Surfaces in Minkowski 3-space
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作者 Peng Cheng LI Dong He PEI Xin ZHAO 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2024年第6期1521-1532,共12页
In this paper,we define the evolute and focal surface of a spacelike framed curve with lightlike components in Minkowski 3-space.It is a generalization of the previous results of regular spacelike curves,since singula... In this paper,we define the evolute and focal surface of a spacelike framed curve with lightlike components in Minkowski 3-space.It is a generalization of the previous results of regular spacelike curves,since singularities are allowed in the original spacelike curves studied by spacelike framed curves with lightlike components.Meanwhile,we show a new geometric invariant to characterise singularities of the focal surface.Then,the classification theorem and recognition theorem for the singularities of the focal surface in generic are also given. 展开更多
关键词 evolutes focal surfaces spacelike framed curves SINGULARITIES
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Some Geometric Invariants of Pseudo-Spherical Evolutes in the Hyperbolic 3-Space
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作者 H.S.Abdel-Aziz M.Khalifa Saad A.A.Abdel-Salam 《Computers, Materials & Continua》 SCIE EI 2018年第12期389-415,共27页
In this paper,we study the pseudo-spherical evolutes of curves in three dimensional hyperbolic space.We use techniques from singularity theory to investigate the singularities of pseudo-spherical evolutes and establis... In this paper,we study the pseudo-spherical evolutes of curves in three dimensional hyperbolic space.We use techniques from singularity theory to investigate the singularities of pseudo-spherical evolutes and establish some relationships between singularities of these curves and geometric invariants of curves under the action of the Lorentz group.Besides,we defray with illustration some computational examples in support our main results. 展开更多
关键词 Pseudo-spherical evolutes evolute curves hyperbolic 3-space
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蜗线齿轮及其共轭齿轮的几何分析与仿真 被引量:16
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作者 任廷志 程爱明 景奉儒 《机械工程学报》 EI CAS CSCD 北大核心 2006年第9期71-75,共5页
蜗线齿轮是一种节曲线向径按余弦规律变化的新式齿轮。为了选择合适的切齿方案和切齿刀具,实现齿轮不同的数控加工方法,对该蜗线齿轮及其共轭齿轮进行理论分析和计算模拟。根据新式齿轮的节曲线曲率半径公式,给出节曲线凸凹性的判别式;... 蜗线齿轮是一种节曲线向径按余弦规律变化的新式齿轮。为了选择合适的切齿方案和切齿刀具,实现齿轮不同的数控加工方法,对该蜗线齿轮及其共轭齿轮进行理论分析和计算模拟。根据新式齿轮的节曲线曲率半径公式,给出节曲线凸凹性的判别式;由齿形法线在节曲线上的分布规律,用解析法建立齿形渐屈线方程;基于齿形上任一点的向径与节曲线向径的几何关系,由节曲线方程推导出了齿形方程。并由所建立的方程进行了蜗线齿轮及其共轭齿轮的渐屈线及齿形的图形仿真,为新式齿轮的开发应用提供了理论依据。应用该理论设计、加工的齿轮已用于生产实际,性能良好。 展开更多
关键词 非圆齿轮 节曲线 凸凹性 渐屈线 齿形 齿轮加工
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Anti de Sitter 2-空间中的类时曲线研究(英文)
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作者 刘作栋 姜淼鑫 陈亮 《吉林师范大学学报(自然科学版)》 2015年第1期88-94,共7页
本文介绍了Anti de Sitter 2-空间中类时曲线的Anti de Sitter渐屈线的概念,利用具有Anti de Sitter双曲线的类时曲线的切触几何方法,本文也研究了上述空间中渐屈线奇点的几何意义.
关键词 ANTI DE SITTER 2-空间 伪圆 ANTI DE Sitter渐屈线 类时高度函数 奇点
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古代莲文化的内涵及其演变分析 被引量:13
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作者 马倩 潘华顺 《天水师范学院学报》 2001年第1期24-28,共5页
莲文化在我国有着悠久的历史.与梅、兰、竹、菊等相比,莲具有更为丰富、更加复杂的文化内涵.在生殖崇拜、儒家实用功利、佛教佛性与修行、理学人格修养等四个方面,莲文化具有极为复杂的内涵及其演变.
关键词 莲文化 文化内涵 演变 生殖崇拜 儒家实用功利思想 佛教文化 理学人格修养 古代
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Microstructure Evolution and Mechanical Properties of HR3C Steel during Long-term Aging at High Temperature 被引量:15
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作者 Bin WANG Zheng-dong LIU +2 位作者 Shi-chang CHENG Chun-ming LIU Jing-zhong WANG 《Journal of Iron and Steel Research International》 SCIE EI CAS CSCD 2014年第8期765-773,共9页
Microstructure evolution and the changes in mechanical properties of HR3 Csteel during long-term aging at650,700 and 750℃ were investigated.The precipitated phases of the aging steel included M23C6 carbides,Z-phase a... Microstructure evolution and the changes in mechanical properties of HR3 Csteel during long-term aging at650,700 and 750℃ were investigated.The precipitated phases of the aging steel included M23C6 carbides,Z-phase and a trace amount of Nb(C,N).The M23C6 carbides were distributed mainly at the grain boundary,while Z-phase was mainly inside the grains.Amounts of both M23C6 carbides and Z-phase during the aging process increased with increasing aging period and temperature.Coarsening of M23C6 carbides was influenced significantly by aging time and temperature,while the size of the Z-phase was relatively less affected by the aging time and temperature,which had a steady strengthening effect.Coarsening of the M23C6 carbides was the main reason for the decline in high temperature yield strength during long-term aging at 750℃.The M23C6 carbides were linked into a continuous chain along the grain boundary which accounted for the decrease of toughness during aging. 展开更多
关键词 HR3C steels microstructure evolutions mechanical propertys aging
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Formation mechanism and development pattern of aeolian sand landform in Yarlung Zangbo River valley 被引量:14
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作者 李森 董光荣 +5 位作者 申建友 杨萍 刘贤万 王跃 靳鹤龄 王强 《Science China Earth Sciences》 SCIE EI CAS 1999年第3期272-284,共13页
Aeolian sand landforms in the Yarlung Zangbo River valley can be divided into 4 classes and 21 types. The river valley has favourable environment conditions for the development of aeolian sand landforms. Simulation of... Aeolian sand landforms in the Yarlung Zangbo River valley can be divided into 4 classes and 21 types. The river valley has favourable environment conditions for the development of aeolian sand landforms. Simulation of MM4 mid-scale climate model showed that the near-surface flow field and wind vector field during the winter half year in the river valley are generally favourable for the aeolian sand deposition and as a whole they also affect the distribution mneu and sites of aeolian sand landforms. Sand dunes and sand dune grouup in the river valley developed mainly in three ways, namely windward retarding deposition, leeward back flow deposition and bend circumfluence deposition. Through alternating positive-reverse processes of sand dune formation under wind actions and sand dune vanishing under water actions, sand dunes developed fmm primary zone thmugh main-body zone then to vanishing zone where climbing dunes and falling dunes are declining and are even disappearing. 展开更多
关键词 Yarlung Zangbo RIVER VALLEY aeolian sand LANDFORM NEAR-SURFACE flow field positive-reverse development processes evolutional pattern.
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Realizing enhanced energy storage and hardness performances in 0.90NaNbO_(3)-0.10Bi(Zn_(0.5)Sn_(0.5))O_(3)ceramics 被引量:10
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作者 Xiaoyan DONG Xu LI +6 位作者 Hongyun CHEN Qinpeng DONG Jiaming WANG Xiang WANG Yue PAN Xiuli CHEN Huanfu ZHOU 《Journal of Advanced Ceramics》 SCIE EI CAS CSCD 2022年第5期729-741,共13页
Ceramic dielectric capacitors have a broad scope of application in pulsed power supply devices.Relaxor behavior has manifested decent energy storage capabilities in dielectric materials due to its fast polarization re... Ceramic dielectric capacitors have a broad scope of application in pulsed power supply devices.Relaxor behavior has manifested decent energy storage capabilities in dielectric materials due to its fast polarization response.In addition,an ultrahigh energy storage density can also be achieved in NaNbO_(3)(NN)-based ceramics by combining antiferroelectric and relaxor characteristics.Most of the existing reports about lead-free dielectric ceramics,nevertheless,still lack the relevant research about domain evolution and relaxor behavior.Therefore,a novel lead-free solid solution,(1-x)NaNbO_(3)-xBi(Zn_(0.5)Sn_(0.5))O_(3)(abbreviated as xBZS,x=0.05,0.10,0.15,and 0.20)was designed to analyze the domain evolution and relaxor behavior.Domain evolutions in xBZS ceramics confirmed the contribution of the relaxor behavior to their decent energy storage characteristics caused by the fast polarization rotation according to the low energy barrier of polar nanoregions(PNRs).Consequently,a high energy storage density of 3.14 J/cm^(3)and energy efficiency of 83.30%are simultaneously available with 0.10 BZS ceramics,together with stable energy storage properties over a large temperature range(20-100℃)and a wide frequency range(1-200 Hz).Additionally,for practical applications,the 0.10 BZS ceramics display a high discharge energy storage density(W_(dis)≈1.05 J/cm^(3)),fast discharge rate(t_(0.9)≈60.60 ns),and high hardness(H≈5.49 GPa).This study offers significant insights on the mechanisms of high performance lead-free ceramic energy storage materials. 展开更多
关键词 energy storage NaNbO3(NN)-based domain evolutions HARDNESS
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基于自组织理论的产业集群演化研究 被引量:6
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作者 张伟 《河南工业大学学报(社会科学版)》 2008年第1期34-36,共3页
产业集群的形成和演化路径是一个复杂的变异过程。从自组织理论角度,探讨了产业集群形成的条件和动力,模拟了产业集群的演化过程。
关键词 自组织 产业集群 演化
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全民健身背景下气排球竞赛规则的嬗变 被引量:9
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作者 刘浩月 李嘉成 《安徽体育科技》 2020年第4期62-65,共4页
通过文献资料法、对比分析法,对气排球竞赛规则的演变进行研究,结果表明:(1)气排球竞赛规则的演变是气排球运动发展的基本条件,也是气排球运动发展的需求。(2)气排球竞赛规则的演变的动因主要是:气排球运动的特点;气排球运动本身的需求... 通过文献资料法、对比分析法,对气排球竞赛规则的演变进行研究,结果表明:(1)气排球竞赛规则的演变是气排球运动发展的基本条件,也是气排球运动发展的需求。(2)气排球竞赛规则的演变的动因主要是:气排球运动的特点;气排球运动本身的需求;气排球运动员的需求;气排球比赛的需求;气排球运动技、战术发展的需求;观众的需求。(3)气排球规则2017-2020版与2012-2016版相比修改了15处,修改的内容更加科学、合理和人性化。 展开更多
关键词 全民健身 气排球 竞赛规则 嬗变
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Effect of melting temperature on microstructural evolutions, behavior and corrosion morphology of Hadfield austenitic manganese steel in the casting process 被引量:7
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作者 Masoud Sabzi Sadegh Moeini Far Saeid Mersagh Dezfuli 《International Journal of Minerals,Metallurgy and Materials》 SCIE EI CAS CSCD 2018年第12期1431-1438,共8页
In this study, the effect of melting temperature on the microstructural evolutions, behavior, and corrosion morphology of Hadfield steel in the casting process is investigated. The mold was prepared by the sodium sili... In this study, the effect of melting temperature on the microstructural evolutions, behavior, and corrosion morphology of Hadfield steel in the casting process is investigated. The mold was prepared by the sodium silicate/CO_2 method, using a blind riser, and then the desired molten steel was obtained using a coreless induction furnace. The casting was performed at melting temperatures of 1350, 1400, 1450, and 1500°C, and the cast blocks were immediately quenched in water. Optical microscopy was used to analyze the microstructure, and scanning electron microscopy(SEM) and X-ray diffractrometry(XRD) were used to analyze the corrosion morphology and phase formation in the microstructure, respectively. The corrosion behavior of the samples was analyzed using a potentiodynamic polarization test and electrochemical impedance spectroscopy(EIS) in 3.5 wt% NaCl. The optical microscopy observations and XRD patterns show that the increase in melting temperature led to a decrease of carbides and an increase in the austenite grain size in the Hadfield steel microstructure. The corrosion tests results show that with increasing melting temperature in the casting process, Hadfield steel shows a higher corrosion resistance. The SEM images of the corrosion morphologies show that the reduction of melting temperature in the Hadfield steel casting process induced micro-galvanic corrosion conditions. 展开更多
关键词 Hadfield steel casting process melting temperature MICROSTRUCTURAL evolutIONS CORROSION BEHAVIOR CORROSION morphology
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Correlation Analysis for the Attack of Respiratory Diseases and Meteorological Factors 被引量:5
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作者 张德山 贺娟 +2 位作者 高思华 胡保昆 马师雷 《Chinese Journal of Integrative Medicine》 SCIE CAS 2011年第8期600-606,共7页
Objective:To investigate the relationship between respiratory diseases onset and the meteorological factors in the same period and in a specific environment.Methods:By using the data of daily incidence of respirator... Objective:To investigate the relationship between respiratory diseases onset and the meteorological factors in the same period and in a specific environment.Methods:By using the data of daily incidence of respiratory diseases obtained from Dongzhimen Hospital Affiliated to Beijing University of Chinese Medicine from January 1, 1998 to December 31,2007,and the data of 16 items of meteorological factors(such as the average,maximum, and minimum temperatures,etc.,including meteorological factors derived) obtained from the Beijing Municipal Meteorological Observatory,mathematical statistical methods were applied to achieve the non-linear correlation analysis,or the correlation test,between the incidence of respiratory diseases and the time-related meteorological factors.Results:The simple correlation coefficients of the relationship between the incidence of respiratory diseases and 9 meteorological elements,including the average values of temperature,maximum temperature,minimum temperature,degree of comfort,precipitation,vapor pressure,low cloud cover,change of vapor pressure,and change of wind speed,were all greater than 0.8286,in which one of the relationship between the incidence of respiratory diseases and the maximum temperature is as high as 0.9670.Statistical tests showed RRα=0.05 and FFα=0.05.Conclusions:The incidence of respiratory diseases was closely correlated to meteorological factors,such as air temperature,vapor pressure,precipitation,wind speed,etc.To a certain extent,this conclusion confirmed the scientificity and objectivity of the theory of five evolutive phases and six climatic factors(Wu Yun Liu Qi,五运六气) in Huang Di Nei Jing(黄帝内经,The Yellow Emperor's Canon of Internal Medicine). 展开更多
关键词 respiratory diseases meteorological factors degree of correlation Chinese medicine five evolutive phases and six climatic factors
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Evolutes of Hyperbolic Plane Curves 被引量:2
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作者 ShyuichiIZUMIYA DongHePEI +1 位作者 TakashiSANO ErikaTORII 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2004年第3期543-550,共8页
We define the notion of evolutes of curves in a hyperbolic plane and establish the relation-ships between singularities of these subjects and geometric invariants of curves under the action of theLorentz group.We also... We define the notion of evolutes of curves in a hyperbolic plane and establish the relation-ships between singularities of these subjects and geometric invariants of curves under the action of theLorentz group.We also describe how we can draw the picture of an evolute of a hyperbolic plane curvein the Poincaré disk. 展开更多
关键词 evolute Generic property Hyperbolic plane curve
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Conversion of polyaluminocarbosilane(PACS) to Si-Al-C-(O) fibers:evolutions and effect of oxygen 被引量:5
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作者 郑春满 李效东 +1 位作者 余煜玺 赵大方 《中国有色金属学会会刊:英文版》 EI CSCD 2006年第2期254-258,共5页
The evolvement of oxygen from polyaluminocarbosilane(PACS) to Si-Al-C-(O) fibers and its effect on properties were investigated by element analysis, solid-state 27Al nuclear magnetic resonance(NMR), Fourier transform ... The evolvement of oxygen from polyaluminocarbosilane(PACS) to Si-Al-C-(O) fibers and its effect on properties were investigated by element analysis, solid-state 27Al nuclear magnetic resonance(NMR), Fourier transform infrared spectroscopy(FT-IR), thermo-gravimetric analyses(TGA), scanning electron microscope(SEM) and X-ray diffraction(XRD). Element analysis of PACS precursor polymer gives an empirical formula of SiC2.1H11.1O0.12Al0.024. 27Al NMR spectra mass gain shows that the oxygen of cured PACS fibers comes from aluminum aletylacetanate (Al(AcAc)3) and the curing process. Oxygen content can be regarded as a constant mass during the pyrolysis process. During the sintering process of Si-Al-C-O fibers into Si-Al-C fibers, oxygen and carbon decreases with the release of a small amount of CO and/or SiO. Oxygen has a positive effect on the ceramic yield while has a negative effect on the crystallization of Si-Al-C-O fibers. It has great influence on mechanical properties of Si-Al-C-O and excellent tensile strength is usually obtained at the oxygen content of 8%-10%. The Si-Al-C-(O) fibers have excellent thermal stability and creep resistance. 展开更多
关键词 PACS SIC纤维 光纤
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Alternate erosion and deposition in the Yangtze Estuary and the future change 被引量:4
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作者 ZHU Boyuan LI Yitian +4 位作者 YUE Yao YANG Yunping LIANG Enhang ZHANG Chuncai BORTHWICK Alistair G.L. 《Journal of Geographical Sciences》 SCIE CSCD 2020年第1期145-163,共19页
The morphological changing trend of the Yangtze Estuary, the largest estuary of Asia, has become a focus of research in recent years. Based on a long series of topographic data from 1950 to 2015, this paper studied th... The morphological changing trend of the Yangtze Estuary, the largest estuary of Asia, has become a focus of research in recent years. Based on a long series of topographic data from 1950 to 2015, this paper studied the erosion-deposition pattern of the entire Yangtze Estuary. An alternation between erosion and deposition was found during the past 65 years, which was in correspondence to the alternation between flood and dry periods identified by multi-year average duration days of high-level water flow (defined as discharge ≥ 60,000 m<sup>3</sup>/s, namely, D<sub>≥60,000</sub>) from the Yangtze River Basin. A quantitative relationship was further developed between the erosional/depositional rate of the Yangtze Estuary and the interpreting variables of yearly water discharge, D<sub>≥60,000</sub> and yearly river sediment load, with contributing rates of 1%, 59% and 40%, respectively. Mechanism behind the alternate erosion and deposition pattern was analyzed by examining residual water surface slope and the corresponding capacity of sediment transport in flood and dry periods. In flood periods, a larger discharge results in steeper slope of residual water level which permits a greater capacity of sediment transport. Therefore, more bed materials can be washed to the sea, leading to erosion of the estuary. In contrast, flatter slope of residual water level occurs in dry periods, and deposition dominates the estuarine area due to the decreased capacity of sediment transport and the increased backwater effect of flood-tide. Coastal dynamics and estuarine engineering projects alter the local morphological changes, but slightly affect the total erosional/depositional rate of the whole estuarine region. Heavy sedimentation within the Yangtze Estuary after the impoundment of the Three Gorges Dam can be attributed to the reduced occurrence frequency of flood years due to water regulation by the dam, and largely (at least 36%-52%) sourced from the sea. Deposition is still possible to occur in the Yangtze Estuary in th 展开更多
关键词 Yangtze Estuary erosion and deposition ALTERNATION total sediment load evolutional trend
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Addressing the strength-ductility trade-off in a cast Al-Li-Cu alloy—Synergistic effect of Sc-alloying and optimized artificial ageing scheme 被引量:5
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作者 Jinshuo Zhang Guohua Wu +3 位作者 Liang Zhang Xiaolong Zhang Chunchang Shi Xin Tong 《Journal of Materials Science & Technology》 SCIE EI CAS CSCD 2022年第1期212-225,共14页
A dramatic improvement of strength and ductility of cast Al-2.5Li-1.5Cu-1Zn-0.5Mg-0.15 Zr alloy was obtained by the collaboration of Sc-alloying and optimized ageing scheme.Joint and independent influence of Sc-alloyi... A dramatic improvement of strength and ductility of cast Al-2.5Li-1.5Cu-1Zn-0.5Mg-0.15 Zr alloy was obtained by the collaboration of Sc-alloying and optimized ageing scheme.Joint and independent influence of Sc-alloying and different ageing temperatures were investigated.The results revealed that a substantial increase was realized in the hardness of Sc-containing alloy,and the ageing response time was only influenced by ageing temperature.Coarse and heterogeneousδ'(Al_(3)Li),wideδ'-precipitation free zones(δ'-PFZs),and a large amount of T_(1)(Al_(2)CuLi)precipitates were observed in Sc-containing alloy aged at 175℃,which resulted in superior yield strength and poor elongation.The Sc-containing alloy obtained an excellent combination of ductility(elongation=8.2%)and tensile strength(ultimate strength=565 MPa)suffered to 150℃ ageing for 64 h.The increase in the elongation was mainly due to the combined effect of grain refining,much finerδ',and extremely narrowδ'-PFZs(<10 nm),while the higher strength was mainly attributed to the formation of Al_(3)(Sc,Zr,Li)composite particles and a large amount of S'(Al_(2)CuMg)phase.However,the enhancement of the different ageing temperature(150℃ and 175℃)on the mechanical properties of the alloys without Sc addition was not obvious. 展开更多
关键词 Cast Al-Li-Cu alloy δ’-PFZs Mechanical properties Cu-containing phases Microstructure evolutions
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论“红叶题诗”的宫怨主题 被引量:4
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作者 陈庆纪 《丹东师专学报》 2003年第2期6-8,共3页
“红叶题诗”是一种特殊的传情方式,它以红叶为媒,表达了宫女们幽怨压抑的痛苦心境,深刻展现了宫女们想突出围城的强烈愿望,形成一种极其深刻的宫怨主题模式。本文拟探讨这一主题模式的历史渊源及其传承和变异情况。
关键词 红叶题诗 宫女 主题模式 围城 压抑 痛苦 展现 情况 变异 突出
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A hybrid multi-objective optimization method considering optimization problems in power distribution systems 被引量:5
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作者 Ken KURODA Hideki MAGORI +1 位作者 Tomiyasu ICHIMURA Ryuichi YOKOYAMA 《Journal of Modern Power Systems and Clean Energy》 SCIE EI 2015年第1期41-50,共10页
Various kinds of new engineering technologies have been studied to realize the low-carbon and sustainable power supply systems all over the world.In actual implementation of these technologies,mostly,there are multipl... Various kinds of new engineering technologies have been studied to realize the low-carbon and sustainable power supply systems all over the world.In actual implementation of these technologies,mostly,there are multiple objectives with trade off relationships among each other,and also various constraints in the achievement of these objectives.Therefore,it should be essential to solve multiobjective optimization problems effectively in the applications of these new technologies in power systems.This paper proposes an improved method to realize multiobjective optimization for critical challenges in advanced power systems.To realize that,in an optimal dispersed generation installation problem,that is,one of effective measures for low-carbon power systems,various optimization methods and their combination methods are evaluated and a hybrid method for evolutionary algorithms was developed.The method can provide improved results compared with other state-of-the-art multi-objective optimization methods. 展开更多
关键词 Dispersed generation Distribution system evolutional strategy Multi-objective optimization Optimal power flow
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社会变迁下的组织结构演进——以理性官僚组织结构为比较基点 被引量:5
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作者 尹艳红 《甘肃行政学院学报》 2009年第3期33-38,共6页
社会变迁也可以说是社会的组织化的过程。而组织又是有结构的活动的整体,组织的结构在不同的历史时期以不同的形式适应社会变迁的要求而发展演进。从传统社会到信息化社会的发展过程中,组织结构先后表现为弱性结构、刚性结构、柔性结构... 社会变迁也可以说是社会的组织化的过程。而组织又是有结构的活动的整体,组织的结构在不同的历史时期以不同的形式适应社会变迁的要求而发展演进。从传统社会到信息化社会的发展过程中,组织结构先后表现为弱性结构、刚性结构、柔性结构和碎片化结构的形式。在当前工业化社会向信息化社会的转型时期,官僚制结构仍然占据着主导作用,组织结构的演变仍处于一种长期的动态调整过程之中。 展开更多
关键词 组织结构 演进 社会变迁 理性官僚组织
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High-entropy catalysts for electrochemical water-electrolysis of hydrogen evolution and oxygen evolution reactions 被引量:1
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作者 Simiao SHA Riyue GE +6 位作者 Ying LI Julie M.CAIRNEY Rongkun ZHENG Sean LI Bin LIU Jiujun ZHANG Wenxian LI 《Frontiers in Energy》 SCIE EI CSCD 2024年第3期265-290,共26页
High entropy materials (HEMs) have developed rapidly in the field of electrocatalytic water-electrolysis for oxygen evolution reaction (OER) and hydrogen evolution reaction (HER) due to their unique properties. In par... High entropy materials (HEMs) have developed rapidly in the field of electrocatalytic water-electrolysis for oxygen evolution reaction (OER) and hydrogen evolution reaction (HER) due to their unique properties. In particular, HEM catalysts are composed of many elements. Therefore, they have rich active sites and enhanced entropy stability relative to single atoms. In this paper, the preparation strategies and applications of HEM catalysts in electrochemical water-electrolysis are reviewed to explore the stabilization of HEMs and their catalytic mechanisms as well as their application in support green hydrogen production. First, the concept and four characteristics of HEMs are introduced based on entropy and composition. Then, synthetic strategies of HEM catalysts are systematically reviewed in terms of the categories of bottom-up and top-down. The application of HEMs as catalysts for electrochemical water-electrolysis in recent years is emphatically discussed, and the mechanisms of improving the performance of electrocatalysis is expounded by combining theoretical calculation technology and ex-situ/in situ characterization experiments. Finally, the application prospect of HEMs is proposed to conquer the challenges in HEM catalyst fabrications and applications. 展开更多
关键词 high-entropy ELECTROCATALYSIS synthetic methods water-electrolysis hydrogen and oxygen evolutions
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