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Biodiversity of vespid wasps in spatial and temporal dimensions in northern Zanjan Province of Iran
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作者 Roohollah Abbasi Maedeh Mashhadikhan +1 位作者 Mehdi Abbasi Bahrain Kiabi 《生态学杂志》 CAS CSCD 北大核心 2008年第5期797-802,共6页
Vespidae is one of the major families of Hymenoptera with more than 115000 described species. In the present paper, Simpson and Shannon-Wiener diversity indices, Simpson, Camargo, Smith and Wilson, and modified Nee ev... Vespidae is one of the major families of Hymenoptera with more than 115000 described species. In the present paper, Simpson and Shannon-Wiener diversity indices, Simpson, Camargo, Smith and Wilson, and modified Nee evenness indices, and richness index based on rarefaction method were adopted to study the biodiversity of vespid wasps in spatial and temporal dimensions in northern Zanjan Province of Iran. In spatial dimension, Zanjan and Gilvan showed the highest and the lowest species diversity, evenness, and richness, respectively; while in temporal dimension, 16 July-6 August showed the highest species diversity and richness, and 18 May-27 May and 23 August-2 September showed the highest and the lowest species evenness, respectively. Significant differences in species abundance between localities of study area were observed by Kruskal-Wallis nonparametric test. 展开更多
关键词 生物多样性 黄蜂 伊朗 生活性性
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Study on the Spatial Pattern Changes of Land Use Based on Fractal Dimensions in Tianjin New Coastal Area 被引量:3
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作者 白新萍 《Agricultural Science & Technology》 CAS 2011年第6期879-882,919,共5页
[Objective] The aim was to discuss the spatial pattern changes of land use in Tianjin new coastal area based on fractal dimensions.[Method] By dint of remote and geographic information system technology to obtain the ... [Objective] The aim was to discuss the spatial pattern changes of land use in Tianjin new coastal area based on fractal dimensions.[Method] By dint of remote and geographic information system technology to obtain the data of urban land use in new coastal area from 1993 to 2008,the boundary dimension,radius dimension and information dimension of each land use type were calculated based on fractal dimension.In addition,the revealed land use spatial dimension changes characteristics were analyzed.[Result] The spatial distribution of each land use type in new costal area had distinct fractal characteristics.And,the amount and changes of three types of dimension values effectively revealed the changes of complicatedness,centeredness and evenness of spatial pattern of land use in the study area.The boundary dimension of unused land and salty earth increased incessantly,which suggested its increasing complicatedness.The boundary of the port and wharf and shoal land was getting simpler.The radius dimension of the cultivated land was larger than 2,which suggested that its area spread from center to the surroundings;the one in salty land and waters distributed evenly within different radius space to the center of the city;the one in other land use types reduced gradually from center to the surroundings.The information dimension value in the woodland and orchard land,unused land and shoal land was small,and was in obvious concentrated distribution;the spatial distribution of cultivated and salty land concentrated in the outside area;the construction area in the port and wharf spread gradually on the basis of original state;the spatial distribution of waters and residents and mines were even.[Conclusion] Applying fractal dimensions to the study of spatial pattern changes of urban land use can make up for some disadvantages in classical urban spatial pattern quantitative research,which has favorable practical value. 展开更多
关键词 Land use Fractal dimension Boundary dimension Radial dimension Information dimension Tianjin New Coastal Area
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Spatial-temporal changes of Tianjin urban spatial morphology from 1978 to 2004 被引量:14
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作者 CAI Bofeng ZHANG Zengxiang LIU Bin ZHOU Quanbin 《Journal of Geographical Sciences》 SCIE CSCD 2007年第4期500-510,共11页
Taken fractal dimension, compact ratio, urban centroid and urban principal axis as the urban spatial characteristic indices, Tianjin city's urban area is investigated in the last 26 years in a quantitative perspectiv... Taken fractal dimension, compact ratio, urban centroid and urban principal axis as the urban spatial characteristic indices, Tianjin city's urban area is investigated in the last 26 years in a quantitative perspective, and its traits and changes during different periods are also analyzed. It is clear that these indices can not only scientifically and explicitly assess the urban morphology, urban direction and its changes and trends, but also uncover long-term effects of economy and urban planning on urban morphology. 展开更多
关键词 urban spatial morphology fractai dimension compact ratio urban centroid urban principal axis TIANJIN
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Spatial-temporal changes of tidal flats in the Huanghe River Delta using Landsat TM/ETM+ images 被引量:6
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作者 樊辉 黄海军 《Journal of Geographical Sciences》 SCIE CSCD 2004年第3期366-374,共9页
Integrating remote sensing, geographic information system (GIS) and fractal theory, change characteristics of tidal flats and tidal creeks in the Huanghe (Yellow) River Delta over the period of 1986-2001 were discusse... Integrating remote sensing, geographic information system (GIS) and fractal theory, change characteristics of tidal flats and tidal creeks in the Huanghe (Yellow) River Delta over the period of 1986-2001 were discussed. The results show that evolutions of tidal flats throughout the Huanghe River Delta are influenced by various factors, and that progressive succession and regression of tidal flats concur in different coastal segments of the delta. Human activities have played an increasingly important role in the succession process of tidal flats. Due to land reclamation in coastal zones of the delta in the last 15 years, lots of tidal flats were occupied, the artificial coastline migrated seaward (the maximum change rate was 0.8 kmyr-1) and tidal creeks became sparser (the highest decreasing rate of length of tidal creeks was 14.9 kmyr-1). Except for two coastal segments from the Tiaohe Estuary to the 106 Station and from the south of the Huanghe River mouth to the north of the Xiaodao River Estuary, fractal dimension values of tidal creeks in the remaining coastal segments of the delta decreased. In addition, the time dimension, sediment fluxes into the sea, waves and tidal-currents have profound influences on the evolution process of tidal flats. Four types of tidal flats-river-dominated tidal flats, tide-dominated tidal flats, wave-dominated tidal flats and man-dominated tidal flats can be identified. Owing to the intensification of human activities in coastal zones of the delta, man-dominated tidal flats have become the main kind of tidal flats. 展开更多
关键词 Huanghe River Delta tidal flats tidal creeks spatial-temporal change fractal dimension remote sensing
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Scalable Temporal Dimension Preserved Tensor Completion for Missing Traffic Data Imputation With Orthogonal Initialization
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作者 Hong Chen Mingwei Lin +1 位作者 Jiaqi Liu Zeshui Xu 《IEEE/CAA Journal of Automatica Sinica》 SCIE EI CSCD 2024年第10期2188-2190,共3页
Dear Editor,This letter puts forward a novel scalable temporal dimension preserved tensor completion model based on orthogonal initialization for missing traffic data(MTD)imputation.The MTD imputation acts directly on... Dear Editor,This letter puts forward a novel scalable temporal dimension preserved tensor completion model based on orthogonal initialization for missing traffic data(MTD)imputation.The MTD imputation acts directly on accessing the traffic state,and affects the traffic management. 展开更多
关键词 DIMENSION management traffic
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Publisher’s Note:“Benchmark simulations of radiative transfer in participating binary stochastic mixtures in two dimensions”[Matter Radiat.Extremes 9, 067802 (2024)]
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作者 Cong-Zhang Gao Ying Cai +6 位作者 Jian-Wei Yin Zheng-Feng Fan Pei Wang Shao-Ping Zhu Cheng-Wu Huang Yang Zhao Jia-Min Yang 《Matter and Radiation at Extremes》 SCIE EI CSCD 2024年第6期121-121,共1页
This article was originally published online on 30 August 2024.Due to a production error,as originally published the author list was not in its intended order.All online versions of this article were corrected on 9 Se... This article was originally published online on 30 August 2024.Due to a production error,as originally published the author list was not in its intended order.All online versions of this article were corrected on 9 September 2024 and it appears correctly in print.AIP Publishing apologizes for this error. 展开更多
关键词 dimensions RADIATIVE Extreme
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Benchmark simulations of radiative transfer in participating binary stochastic mixtures in two dimensions
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作者 Cong-Zhang Gao Ying Cai +6 位作者 Jian-Wei Yin Zheng-Feng Fan Pei Wang Shao-Ping Zhu Cheng-Wu Huang Yang Zhao Jia-Min Yang 《Matter and Radiation at Extremes》 SCIE EI CSCD 2024年第6期81-93,共13页
We study radiative transfer in participating binary stochastic mixtures in two dimensions(2D)by developing an accurate and efficient simulation tool.For two different sets of physical parameters,2D benchmark results a... We study radiative transfer in participating binary stochastic mixtures in two dimensions(2D)by developing an accurate and efficient simulation tool.For two different sets of physical parameters,2D benchmark results are presented,and it is found that the influence of the stochastic mixture on radiative transfer is clearly parameter-dependent.Our results confirm that previous multidimensional results obtained in different studies are basically consistent,which is interpreted in terms of the relationship between the photon mean free path l_(p)and the system size L.Nonlinear effects,including those due to scattering and radiation-material coupling,are also discussed.To further understand the particle size effect,we employ a dimensionless parameter l_(p)/L,from which a critical particle size can be derived.On the basis of further 2D simulations,we find that an inhomogeneous mix is obtained for l_(p)/L>0.1.Furthermore,2D material temperature distributions reveal that self-shielding and particle-particle shielding of radiation occur,and are enhanced when l_(p)/L is increased.Our work is expected to provide benchmark results to verify proposed homogenized models and/or other codes for stochastic radiative transfer in realistic physical scenarios. 展开更多
关键词 STOCHASTIC RADIATIVE dimensions
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An Exploration of the Three Dimensions and Epochal Strengths of Building a Human Community With a Shared Future
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作者 Jiang Ruibing Liu Zongling 《Contemporary Social Sciences》 2024年第3期120-138,共19页
The idea of a human community with a shared future was proposed by the Communist Party of China(CPC)Central Committee with Comrade Xi Jinping at its core for the future development of human beings to face up to the mo... The idea of a human community with a shared future was proposed by the Communist Party of China(CPC)Central Committee with Comrade Xi Jinping at its core for the future development of human beings to face up to the most important question in today's world:“What is happening to the world and what should we do?”It profoundly answers the question of the world,history,and the times.The theory of a human community with a shared future is an innovative theory with a multidimensional formation logic that guides humanity toward continually seeking common interests and values.This paper dives into the profound motivations behind building a human community with a shared future from historical,cultural,and practical dimensions and analyzes its epochal value from both domestic and international perspectives.This not only helps exert China's role in the international community,contributing Chinese strength to the construction of a peaceful,stable,and prosperous human society,but also enhances the influence of the idea of a human community with a shared future in the international community,accelerating the building of a human community with a shared future that considers the legitimate concerns of all countries,and aiding in solving the crises facing the world. 展开更多
关键词 a human community with a shared future historical dimension cultural dimension practical dimension epochal strength
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Rectangular tunnel heading stability in three dimensions and its predictive machine learning models
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作者 Jim Shiau Suraparb Keawsawasvong +3 位作者 Van Qui Lai Thanachon Promwichai Viroon Kamchoom Rungkhun Banyong 《Journal of Rock Mechanics and Geotechnical Engineering》 SCIE CSCD 2024年第11期4683-4696,共14页
Tunnel heading stability in two dimensions(2D)has been extensively investigated by numerous scholars in the past decade.One significant limitation of 2D analysis is the absence of actual tunnel geometry modeling with ... Tunnel heading stability in two dimensions(2D)has been extensively investigated by numerous scholars in the past decade.One significant limitation of 2D analysis is the absence of actual tunnel geometry modeling with a considerable degree of idealization.Nevertheless,it is possible to study the stability of tunnels in three dimensions(3D)with a rectangular shape using finite element limit analysis(FELA)and a nonlinear programming technique.This paper employs 3D FELA to generate rigorous solutions for stability numbers,failure mechanisms,and safety factors for rectangular-shaped tunnels.To further explore the usefulness of the produced results,multivariate adaptive regression spline(MARS)is used for machine learning of big dataset and development of design equations for practical design applications.The study should be of great benefit to tunnel design practices using the developed equations provided in the paper. 展开更多
关键词 Wide rectangular tunnel Finite element limit analysis(FELA) Multivariate adaptive regression spline(MARS) Three dimensions(3D) Stability analysis
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The Historical Position and Value Dimensions of Human Rights Civilization
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作者 鲁广锦 PAN Yingzhao 《The Journal of Human Rights》 2024年第1期11-41,共31页
Human beings are the mainstay and the ultimate goal of civilization.The history of human civilization is a continuous struggle to realize the respect,liberation,protection,and development of humanity.Human rights are ... Human beings are the mainstay and the ultimate goal of civilization.The history of human civilization is a continuous struggle to realize the respect,liberation,protection,and development of humanity.Human rights are an achievement of humanity and a symbol of progress,and the human rights civilization is an important component of human civilization.Understanding and interpreting human rights from the perspective of human rights civilization means that human rights are not only a concept or an idea but also a grand historical and long-term social practice.Up to now,the development of human rights civilization has roughly experienced four awakening eras:initialization,revolution,popularization,and globalization.In terms of its value dimensions,it has the characteristics of progressiveness,diversity,commonality,inclusiveness,indivisibility,openness,and so on.The historical position of human rights civilization and the development of its value dimensions have shown to the world that human rights are the common wealth of humanity,and human rights belong to all mankind;human rights are historical,concrete,and developmental;the concept of human rights is constantly evolving,and its connotations and categories are constantly expanding;achieving the free and well-rounded development of every person is the highest value realm of human rights civilization.The Chinese modernization endows Chinese civilization with modern strength and opens up new horizons for human rights civilization.The new pattern of human rights civilization to be created by Chinese modernization not only possesses the common characteristics of human rights civilization but also enjoys Chinese characteristics based on its own national conditions,enriching and developing the diversity of human rights civilization for all mankind. 展开更多
关键词 human rights civilization four awakening eras of human rights value dimensions of human rights Chinese modernization new pattern of human rights civilization with Chinese characteristics
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法治是中国式现代化的重要保障
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作者 莫纪宏 《新疆师范大学学报(哲学社会科学版)》 北大核心 2025年第2期7-16,F0002,共11页
党的二十届三中全会审议通过的《中共中央关于进一步全面深化改革、推进中国式现代化的决定》明确提出“法治是中国式现代化的重要保障”,对法治与现代化之间的辩证关系从理论与实践相结合的角度作出系统阐述,对不断完善和健全法治在保... 党的二十届三中全会审议通过的《中共中央关于进一步全面深化改革、推进中国式现代化的决定》明确提出“法治是中国式现代化的重要保障”,对法治与现代化之间的辩证关系从理论与实践相结合的角度作出系统阐述,对不断完善和健全法治在保障中国式现代化中的能力,推动法治与现代化同频共振、并肩前行发挥了政策引领作用。从法理层面准确认识法治对中国式现代化的保障机制和制度功能,要从历史维度、政治维度、理论维度、比较维度和实践维度“五个维度”有机统一的角度认识中国式现代化的具体特征和制度形态,针对不同层面的中国式现代化目标采取不同性质的法治应对和保障措施。法治在中国式现代化进程中,通过保障制度现代化推进中国式现代化。其中,法治自身也需要现代化。没有法治现代化就没有社会主义现代化。法治在推进中国式现代化过程中,通过不断提升自身效能和保障能力,逐步实现自身的现代化,成为中国式现代化事业的重要组成部分。 展开更多
关键词 法治 中国式现代化 历史维度 政治维度 理论维度 比较维度 实践维度
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Cosmological Model in Four Time and Four Space Dimensions
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作者 Juan Antonio Nieto 《Journal of Applied Mathematics and Physics》 2024年第3期829-840,共12页
We develop a cosmological model in a physical background scenario of four time and four space dimensions ((4+4)-dimensions or (4+4)-universe). We show that in this framework the (1+3)-universe is deeply connected with... We develop a cosmological model in a physical background scenario of four time and four space dimensions ((4+4)-dimensions or (4+4)-universe). We show that in this framework the (1+3)-universe is deeply connected with the (3+1)-universe. We argue that this means that in the (4+4)-universe there exists a duality relation between the (1+3)-universe and the (3+1)-universe. 展开更多
关键词 Cosmological Model (4+4)-dimensions Duality Symmetry
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CHARACTERISTICS OF FAN STALLING BASED ON CORRELATED DIMENSIONS 被引量:2
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作者 谷勇霞 周忠宁 李意民 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI 2011年第4期362-366,共5页
Different from the previous qualitative analysis of linear systems in time and frequency domains, the method for describing nonlinear systems quantitatively is proposed based on correlated dimensions. Nonlinear dynami... Different from the previous qualitative analysis of linear systems in time and frequency domains, the method for describing nonlinear systems quantitatively is proposed based on correlated dimensions. Nonlinear dynamics theory is used to analyze the pressure data of a contrarotating axial flow fan. The delay time is 18 and the embedded dimension varies from 1 to 25 through phase-space reconstruction. In addition, the correlated dimensions are calculated before and after stalling. The results show that the correlated dimensions drop from 1. 428 before stalling to 1. 198 after stalling, so they are sensitive to the stalling signal of the fan and can be used as a characteristic quantity for the judging of the fan stalling. 展开更多
关键词 fan with contra-rotating axis fan stalling correlated dimensions phase-space reconstruction
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基于Dimensions平台的卓越行动计划期刊国际影响力评价 被引量:15
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作者 丁佐奇 《中国出版》 CSSCI 北大核心 2020年第20期3-8,共6页
利用Dimensions平台,对中国科技期刊卓越行动计划项目资助的22种A类期刊的国际影响力进行评价分析发现,22种期刊总被引频次均呈现上升趋势,且学科相对引用率指标FCR均超过1;80%以上的A类卓越期刊载文量实现稳步上升,有6种期刊载文量上... 利用Dimensions平台,对中国科技期刊卓越行动计划项目资助的22种A类期刊的国际影响力进行评价分析发现,22种期刊总被引频次均呈现上升趋势,且学科相对引用率指标FCR均超过1;80%以上的A类卓越期刊载文量实现稳步上升,有6种期刊载文量上升的同时FCR也得到提升,但部分期刊由于载文量增幅较大,期刊内容质量没有跟上,导致FCR下降;社交媒体评价指标AAS较高的文章集中在新冠病毒研究,仍有部分卓越期刊的社交媒体传播能力较弱;FCR呈上升趋势的期刊约组了相对优质的国际论文。据此提出培育世界一流科技期刊的相关建议:兼顾期刊载文量与学术质量的平衡;充分利用国外社交媒体资源,及时传播最新科研成果;针对重大突发事件,建立完善应急措施;约组高质量的国内外论文,打造世界一流科技期刊。 展开更多
关键词 dimensions平台 FCR Altmetrics评分 国际影响力
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Mathematically modeling the main dimensions of self-elevating drilling units
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作者 王运龙 纪卓尚 林焰 《Journal of Marine Science and Application》 2009年第3期211-215,共5页
The present status of self-elevating drilling units was analysed. Based on statistics of the main dimensions of self-elevating drilling units, a mathematical model was established using stepwise return procedures and ... The present status of self-elevating drilling units was analysed. Based on statistics of the main dimensions of self-elevating drilling units, a mathematical model was established using stepwise return procedures and a back-propagation neural network. mathematical model is applicable and reliable. The of the main dimensions of self-elevating drilling Analysis of examples of calculations showed that the model is useful for mastering the essential variations units and can be used for technical and economic analysis as well as in conceptual designs of drilling units. 展开更多
关键词 self-elevating drilling unit main dimensions single variable multi-variable
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Research status and prospects of the fractal analysis of metal material surfaces and interfaces
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作者 Qinjin Dai Xuefeng Liu +2 位作者 Xin Ma Shaojie Tian Qinghe Cui 《International Journal of Minerals,Metallurgy and Materials》 SCIE EI CAS 2025年第1期20-38,共19页
As a mathematical analysis method,fractal analysis can be used to quantitatively describe irregular shapes with self-similar or self-affine properties.Fractal analysis has been used to characterize the shapes of metal... As a mathematical analysis method,fractal analysis can be used to quantitatively describe irregular shapes with self-similar or self-affine properties.Fractal analysis has been used to characterize the shapes of metal materials at various scales and dimensions.Conventional methods make it difficult to quantitatively describe the relationship between the regular characteristics and properties of metal material surfaces and interfaces.However,fractal analysis can be used to quantitatively describe the shape characteristics of metal materials and to establish the quantitative relationships between the shape characteristics and various properties of metal materials.From the perspective of two-dimensional planes and three-dimensional curved surfaces,this paper reviews the current research status of the fractal analysis of metal precipitate interfaces,metal grain boundary interfaces,metal-deposited film surfaces,metal fracture surfaces,metal machined surfaces,and metal wear surfaces.The relationship between the fractal dimensions and properties of metal material surfaces and interfaces is summarized.Starting from three perspectives of fractal analysis,namely,research scope,image acquisition methods,and calculation methods,this paper identifies the direction of research on fractal analysis of metal material surfaces and interfaces that need to be developed.It is believed that revealing the deep influence mechanism between the fractal dimensions and properties of metal material surfaces and interfaces will be the key research direction of the fractal analysis of metal materials in the future. 展开更多
关键词 metal material surfaces and interfaces fractal analysis fractal dimension HOMOGENEITY
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Dimensions of Intercultural Communication Competence
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作者 郭飞燕 《海外英语》 2016年第20期141-142,共2页
Intercultural communication competence can help us adapt better to the host culture and deal with culture shock successfully. This paper mainly discusses the dimensions of intercultural communication competence.
关键词 intercultural communication COMPETENCE dimensions
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On Spatial Fractal Character of Coastline——A Case Study of Jiangsu Province,China 被引量:8
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作者 朱晓华 杨秀春 +1 位作者 谢文君 王建 《China Ocean Engineering》 SCIE EI 2000年第4期533-540,共8页
According to the fractal theory, the spatial fractal character of coastline is preliminarily discussed on the basis of GIS in this paper. Two aspects are considered: one is the length demarcation of coastline with dif... According to the fractal theory, the spatial fractal character of coastline is preliminarily discussed on the basis of GIS in this paper. Two aspects are considered: one is the length demarcation of coastline with different scales, and the other is the confirmation of existence of the fractal character on different boundaries of tidal flats. Finally, some significant conclusions are drawn: (1) The coastline of Jiangsu Province has the fractal character and its dimension is 1.0696. (2) It conforms to the exponential correlation between different lengths (L) of coastline and scales (k). I; conforms to the formula lgL(k) = -1.029 lgk+ 2.9544 in the continental coastline of Jiangsu province. (3) Different boundaries of a tidal flat have fractal characters, and different fractal dimensions indicate different comparative intensities of erosion and deposition on the tidal flat. (4) The reciprocity between land and sea may affect the value of fractal dimension of a coastline, just as the lithology, substantial constituent and geological structure do. 展开更多
关键词 FRACTAL fractal dimension COASTLINE
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Possibilities and challenges of expanding dimensions of waterway downstream of Three Gorges Dam 被引量:6
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作者 Tao Yan Yun-ping Yang +2 位作者 Yi-bing Li Yuan-fang Chai Xiao-bing Cheng 《Water Science and Engineering》 EI CAS CSCD 2019年第2期136-144,共9页
The waterway in the middle and lower reaches of the Yangtze River has long been known as the Golden Waterway and has served as an important link in the construction of the Yangtze River Economic Belt.Therefore,expandi... The waterway in the middle and lower reaches of the Yangtze River has long been known as the Golden Waterway and has served as an important link in the construction of the Yangtze River Economic Belt.Therefore,expanding its dimensions is a significant goal,particularly given the long-range cumulative erosion occurring downstream of the Three Gorges Dam (TGD),which has been concentrated in the dry river channel.With the regulation of the volume from upstream reservoirs and the TGD,the minimum discharge and water level of the river downstream are increasing,and creating favorable conditions for the increase of the depth of the waterway.The discharge compensation effect during the dry season offsets the decline in the water level of the river channel caused by the down-cutting of part of the riverbed,but the minimum navigable water level of the segment near the dam still shows a declining trend.In recent years,several waterway remediation projects have been implemented in the downstream reaches of the TGD and although the waterway depth and width have been increased,the channel dimensions are still insufficient in the Yichang-Anqing reach (with a total length of 1026 km),as compared to the upstream reservoir area and the deep water channel in the downstream tidal reaches.A comprehensive analysis of the water depth and the number and length of shoals in the waterway indicates that its dimensions can be increased to 4.5 m ×200 m and 6.0 m×200 m in the Yichang-Wuhan and Wuhan-Anqing reaches,respectively.This is also feasible given the remediation technologies currently available,but remediation projects need to be coordinated with those for flood prevention and ecological protection. 展开更多
关键词 WATERWAY DIMENSION Condition analysis Three Gorges Project Yichang-Anqing REACH YANGTZE River
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CONNECTION BETWEEN THE ORDER OF FRACTIONAL CALCULUS AND FRACTIONAL DIMENSIONS OF A TYPE OF FRACTAL FUNCTIONS 被引量:7
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作者 Yongshun Liang Weiyi Su 《Analysis in Theory and Applications》 2007年第4期354-362,共9页
The linear relationship between fractal dimensions of a type of generalized Weierstrass functions and the order of their fractional calculus has been proved. The graphs and numerical results given here further indicat... The linear relationship between fractal dimensions of a type of generalized Weierstrass functions and the order of their fractional calculus has been proved. The graphs and numerical results given here further indicate the corresponding relationship. 展开更多
关键词 generalized Weierstrass function Riemann-Liouville fractional calculus fractal dimension LINEAR GRAPH
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