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Exploring crash induction strategies in within-visual-range air combat based on distributional reinforcement learning
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作者 Zetian HU Xuefeng LIANG +2 位作者 Jun ZHANG Xiaochuan YOU Chengcheng MA 《Chinese Journal of Aeronautics》 2025年第9期350-364,共15页
Within-Visual-Range(WVR)air combat is a highly dynamic and uncertain domain where effective strategies require intelligent and adaptive decision-making.Traditional approaches,including rule-based methods and conventio... Within-Visual-Range(WVR)air combat is a highly dynamic and uncertain domain where effective strategies require intelligent and adaptive decision-making.Traditional approaches,including rule-based methods and conventional Reinforcement Learning(RL)algorithms,often focus on maximizing engagement outcomes through direct combat superiority.However,these methods overlook alternative tactics,such as inducing adversaries to crash,which can achieve decisive victories with lower risk and cost.This study proposes Alpha Crash,a novel distributional-rein forcement-learning-based agent specifically designed to defeat opponents by leveraging crash induction strategies.The approach integrates an improved QR-DQN framework to address uncertainties and adversarial tactics,incorporating advanced pilot experience into its reward functions.Extensive simulations reveal Alpha Crash's robust performance,achieving a 91.2%win rate across diverse scenarios by effectively guiding opponents into critical errors.Visualization and altitude analyses illustrate the agent's three-stage crash induction strategies that exploit adversaries'vulnerabilities.These findings underscore Alpha Crash's potential to enhance autonomous decision-making and strategic innovation in real-world air combat applications. 展开更多
关键词 Unmanned combat aerial vehicle Decision-making distributional reinforcement learning Within-visual-range air combat Crash induction strategy
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Distributed stochastic model predictive control for energy dispatch with distributionally robust optimization
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作者 Mengting LIN Bin LI C.C.ECATI 《Applied Mathematics and Mechanics(English Edition)》 2025年第2期323-340,共18页
A chance-constrained energy dispatch model based on the distributed stochastic model predictive control(DSMPC)approach for an islanded multi-microgrid system is proposed.An ambiguity set considering the inherent uncer... A chance-constrained energy dispatch model based on the distributed stochastic model predictive control(DSMPC)approach for an islanded multi-microgrid system is proposed.An ambiguity set considering the inherent uncertainties of renewable energy sources(RESs)is constructed without requiring the full distribution knowledge of the uncertainties.The power balance chance constraint is reformulated within the framework of the distributionally robust optimization(DRO)approach.With the exchange of information and energy flow,each microgrid can achieve its local supply-demand balance.Furthermore,the closed-loop stability and recursive feasibility of the proposed algorithm are proved.The comparative results with other DSMPC methods show that a trade-off between robustness and economy can be achieved. 展开更多
关键词 distributed stochastic model predictive control(DSMPC) distributionally robust optimization(DRO) islanded multi-microgrid energy dispatch strategy
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Distributional dynamic and trend evolution of China's agricultural carbon emissions-an analysis on panel data of 31 provinces from 2002 to 2011 被引量:8
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作者 Yun Tian Junbiao Zhang Qiqi Chen 《Chinese Journal of Population,Resources and Environment》 2015年第3期206-214,共9页
Researching the dynamic distribution characteristics and trend evolution of agricultural carbon emissions is of considerable significance in formulating an effective agricultural carbon reduction policy.Based on measu... Researching the dynamic distribution characteristics and trend evolution of agricultural carbon emissions is of considerable significance in formulating an effective agricultural carbon reduction policy.Based on measurement of agricultural carbon emissions of 31 provinces over the period 2002-2011,the study observed regional differences and the dynamic evolution of distribution of agricultural carbon emissions using agricultural carbon intensity as the indicator,accompanied by Gini coefficients and the kernel density estimation method.The results demonstrate first that agricultural carbon emissions for China show an obvious nonequilibrium nature in regard to spatial distribution.According to the differences in agricultural carbon emissions dynamic trends,we divided the 31 regions into four types- continuous decline,fluctuating decline,continuous increase,and fluctuating increase.Further,agricultural carbon emissions intensity showed a downward trend with significant differences in the research areas.Second,the gap in spatial distribution of national agricultural carbon emissions is gradually expanding based on the results calculated by Gini coefficient.From the perception of regional differences in agricultural carbon emissions,the eastern region showed an average level,the gap was more obvious in the central region,while western region showed a trend of fluctuating downward.Third,according to estimation by kernel density,the regional disparity in agricultural carbon emissions had a downward,but limited,trend.In regard to agricultural carbon emissions over the three areas,the regional gap not only tended to decrease but also showed a "four way" differentiation phenomenon in the eastern region.The difference in the central region difference was narrower.On the whole,the gap for the western region reduced steadily over a small range. 展开更多
关键词 China agricultural carbon emissions distributional DYNAMIC TREND EVOLUTION KERNEL density
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Distributional expansion of maximum from logarithmic general error distribution 被引量:3
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作者 YANG Geng LIAO Xin PENG Zuo-xiang 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2016年第2期157-164,共8页
Logarithmic general error distribution is an extension of lognormal distribution. In this paper, with optimal norming constants the higher-order expansion of distribution of partial maximum of logarithmic general erro... Logarithmic general error distribution is an extension of lognormal distribution. In this paper, with optimal norming constants the higher-order expansion of distribution of partial maximum of logarithmic general error distribution is derived. 展开更多
关键词 Extreme value distribution Higher-order expansion Logarithmic general error distribution Maximum
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Second Order Periodic Boundary Value Problems Involving the Distributional Henstock-Kurzweil Integral 被引量:3
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作者 Xueyuan Zhou Guoju Ye 《Advances in Pure Mathematics》 2012年第5期330-336,共7页
We apply the distributional derivative to study the existence of solutions of the second order periodic boundary value problems involving the distributional Henstock-Kurzweil integral. The distributional Henstock-Kurz... We apply the distributional derivative to study the existence of solutions of the second order periodic boundary value problems involving the distributional Henstock-Kurzweil integral. The distributional Henstock-Kurzweil integral is a general intergral, which contains the Lebesgue and Henstock-Kurzweil integrals. And the distributional derivative includes ordinary derivatives and approximate derivatives. By using the method of upper and lower solutions and a fixed point theorem, we achieve some results which are the generalizations of some previous results in the literatures. 展开更多
关键词 Periodic Boundary Value Problem distributional Henstock-Kurzweil INTEGRAL distributional DERIVATIVE EXISTENCE UPPER and LOWER Solutions Fixed Point
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Distributional features of temperature and salinity in the southern Taiwan Strait and its adjacent sea areas in late summer, 1994 被引量:1
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作者 Hu Jianyu Liang Hongxing and Zhang Xuebin 1. Institute of Subtropical Oceanography, Xiamen University, Xiamen 361005, China 2. Fujian Institute of Oceanology, Xiamen 361012, China (Received June 3, 1998 accepted August 9, 1998) 《Acta Oceanologica Sinica》 SCIE CAS CSCD 1999年第2期237-246,共10页
Based on the CTD data obtained in the southern Taiwan Strait and its adjacent areas in August and September of 1994, the distributional features of the temperature and salinity in the studied area have been analyzed i... Based on the CTD data obtained in the southern Taiwan Strait and its adjacent areas in August and September of 1994, the distributional features of the temperature and salinity in the studied area have been analyzed in detail. The results are as follows: (1) There are two low temperature and high salinity regions in the nearshore area between Dongshan and Shantou and in the southeastern Taiwan Shoal, respectively, which may be caused by upwellings. (2) There exists a cold eddy in the northwestern sea area and a warm eddy with two high temperature cores in the eastern sea area of the Dongsha Islands, which are related to the anti-cyclonic turning of the seawater near the Dongsha Islands. (3) A westward high temperature and high salinity water tongue extends through the northern Luzon Strait and reaches the sea areas near the Dengsha Islands and southern Taiwan Strait. 展开更多
关键词 Temperature SALINITY distributional feature LATE SUMMER southern Taiwan STRAIT and ITS ADJACENT areas
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Some Remarks on Distributional Chaos for Linear Operators 被引量:1
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作者 TIAN GENG Hou BING-ZHE 《Communications in Mathematical Research》 CSCD 2011年第4期307-314,共8页
In this paper, we consider some properties for bounded linear operators concerning distributional chaos. Norm-unimodality of bounded linear operators im- plies distributional chaos. Some properties such as similarity ... In this paper, we consider some properties for bounded linear operators concerning distributional chaos. Norm-unimodality of bounded linear operators im- plies distributional chaos. Some properties such as similarity and spectra description for norm-unimodal operators are considered. The existence of distributional chaos in nest algebra is also proved. In addition, we obtain a sufficient and necessary condition of distributional chaos for a class of operators, which contains unilateral backward weighted shift operators. 展开更多
关键词 distributional chaos norm-unimodality SIMILARITY SPECTRUM nest algebra
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Distributional characteristics of planktonic Amphipoda(Hyperiidea) in the South Huanghai Sea and East China Sea 被引量:1
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作者 Lin Jinghong and Chen Ruixiang 《Acta Oceanologica Sinica》 SCIE CAS CSCD 1995年第4期553-561,共9页
In this paper the distributional characteristics of species composition, ecological nature and specific numberof planktonic Amphipoda (Hyperiidea) in the South Huanghai Sea and East China Sea are analyzed and their re... In this paper the distributional characteristics of species composition, ecological nature and specific numberof planktonic Amphipoda (Hyperiidea) in the South Huanghai Sea and East China Sea are analyzed and their relation withthe environmental factors is also discussed. It is shown from the results that 71 species of planktonic Amphipoda (Hyperi idea)have been recorded, and the horizontal distribution of species number presents higher in the south and east,lower inthe south and west but the highest is in the southeast part of the study area.The higher abundance zone occurred in thenorthern margin of the study area and in the southeastern waters off the Changjiang Estuary respectively with evident dif ference in the two zones in composition of species number and ecological nature.The unique species Parathemistogandichaudi or Hyperiodes sibaginis was the dominant species distributed in the north and in the south of the ChangjiangEstuary respectively. The distribution of planktonic Amphipoda was controlled by the movement of many distinct watersystems within the study area and their reciprocal displacement.The distribution of Amphipoda (Hyperiidea) of differentecological characters showed evidence of the dynamics of the various water systems. 展开更多
关键词 Planktonic Amphipoda distributional characteristics ecological mature environmental factors
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Potential distributional shifts in North America of allelopathic invasive plant species under climate change models 被引量:3
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作者 Anson Wang Anthony E.Melton +1 位作者 Douglas ESoltis Pamela SSoltis 《Plant Diversity》 SCIE CAS CSCD 2022年第1期11-19,共9页
Predictive studies play a crucial role in the study of biological invasions of terrestrial plants under possible climate change scenarios.Invasive species are recognized for their ability to modify soil microbial comm... Predictive studies play a crucial role in the study of biological invasions of terrestrial plants under possible climate change scenarios.Invasive species are recognized for their ability to modify soil microbial communities and influence ecosystem dynamics.Here,we focused on six species of allelopathic flowering plants-Ailanthus altissima,Casuarina equisetifolia,Centaurea stoebe ssp.micranthos,Dioscorea bulbifera,Lantana camara,and Schinus terebinthifolia-Xhat are invasive in North America and examined their potential to spread further during projected climate change.We used Species Distribution Models(SDMs)to predict future suitable areas for these species in North America under several proposed future climate models.ENMEval and Maxent were used to develop SDMs,estimate current distributions,and predict future areas of suitable climate for each species.Areas with the greatest predicted suitable climate in the future include the northeastern and the coastal northwestern regions of North America.Range size estimations demonstrate the possibility of extreme range loss for these invasives in the southeastern United States,while new areas may become suitable in the northeastern United States and southeastern Canada.These findings show an overall northward shift of suitable climate during the next few decades,given projected changes in temperature and precipitation.Our results can be utilized to analyze potential shifts in the distribution of these invasive species and may aid in the development of conservation and management plans to target and control dissemination in areas at higher risk for potential future invasion by these allelopathic species. 展开更多
关键词 ALLELOPATHY Invasive species Species distribution models Ecological niche models Invasion impacts Multi-species assessment
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Spectral and biodistributional engineering of deep near-infrared chromophore 被引量:1
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作者 Yan Dong Xicun Lu +11 位作者 Yi Li Weichao Chen Lei Yin Jie Zhao Xinru Hu Xinran Li Zuhai Lei Yuyang Wu Hao Chen Xiao Luo Xuhong Qian Youjun Yang 《Chinese Chemical Letters》 SCIE CAS CSCD 2023年第9期176-182,共7页
Fluorescence-guided surgery calls for development of near-infrared fluorophores.Despite the wide-spread application and a safe clinical record of Indocyanine Green(ICG),its maximal absorption wavelength at780 nm is ra... Fluorescence-guided surgery calls for development of near-infrared fluorophores.Despite the wide-spread application and a safe clinical record of Indocyanine Green(ICG),its maximal absorption wavelength at780 nm is rather short and longer-wavelength dyes are desired to exploit such benefits as low phototoxicity and deep penetration depth.Here,we report ECY,a stable deep near-infrared(NIR)fluorochromic scaffold absorbing/emitting at 836/871 nm with a fluorescence quantum yield of 16%in CH_(2)Cl_(2).ECY was further rationally engineered for biological distribution specificity.Analogous bearing different numbers of sulfonate group or a polyethylene glycol chain were synthesized.By screening this focused library upon intravenous injection to BALB/c mice,ECYS2 was identified to be a suitable candidate for bioimaging of organs involved in hepatobiliary excretion,and ECYPEG was found to be a superior candidate for vasculature imaging.They have potentials in intraoperative imaging. 展开更多
关键词 Near infrared fluorophore In vivo imaging Molecular engineering Biological distribution ANGIOGRAPHY
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Study on distributional characteristics of phytoplankton population in the Bohai Sea and the Yellow Sea in the summer 2015 被引量:1
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作者 ZHU Ze-min SUN De-yong +8 位作者 GUO Jun-ru FU Yan-zhao LI Yong-quan LI Shuai LI Ling-li GUO Xiao-fang SUI Wen-yan WANG Meng ZUO Wen-ting 《Marine Science Bulletin》 CAS 2019年第2期72-85,共14页
Marine phytoplankton plays a very important role in marine ecology,environment and global climate change,and it is an indicative organism for measuring water quality.The Bohai Sea and the Yellow Sea in China have uniq... Marine phytoplankton plays a very important role in marine ecology,environment and global climate change,and it is an indicative organism for measuring water quality.The Bohai Sea and the Yellow Sea in China have unique geographical locations.Therefore,the characteristics of phytoplankton population distribution in the Bohai Sea and the Yellow Sea are of great significance to the study of marine ecology in China.In this work,the pigment data obtained from the Yellow Sea and Bohai Sea in August 2015 were analyzed by HPLC(High-Performance Liquid Chromatography).Then the pigment data were analyzed statistically by the CHEMTAX software,so that the phytoplankton community structure information was obtained.Results show that in summer 2015,from the perspective of sea area,the biomass of phytoplankton in the surface of Bohai Sea is higher than that in the Yellow Sea,while the phytoplankton biomass in the surface of North Yellow Sea is higher than that in the South.From the perspective of dominant species of phytoplankton,the surface waters of the Yellow Sea and Bohai Sea were dominated by diatoms,prymnesiophytes and chlorophytes,accounting for 55.76%,14.56%and 14.55%respectively.Among them,diatoms accounted for the absolute advantage. 展开更多
关键词 Bohai Sea and Yellow Sea PHYTOPLANKTON population distribution HPLC CHEMTAX PIGMENT
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The Homogeneity of Distributional Patterns of the Global Terrestrial Animal,Plant and Microorganism under the Influence of Ecological Conditions 被引量:2
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作者 Shen Qi Lu Jiqi +2 位作者 You Zhixing Ren Yingdang Shen Xiaocheng 《Journal of Environmental Science and Engineering(A)》 2022年第4期121-137,共17页
The world animal geographical regionalization scheme and the plant geographical regionalization scheme have been formulated by zoologists and botanists respectively since the biogeography has been established.This res... The world animal geographical regionalization scheme and the plant geographical regionalization scheme have been formulated by zoologists and botanists respectively since the biogeography has been established.This research team initially confirmed the homogeneity of Chinese animal and plant geography.To explore the relationship between the distribution pattern of global animals,plants,and microorganisms,global 141,814 genera of terrestrial animals,17,526 genera of plants,21,321 genera of microorganisms,and their major taxa were analyzed using their proposed SGF(Similarity General Formula)and a new multivariate similarity clustering analysis method.Almost identical analytical results were obtained,meeting the requirements of statistics,geography,ecology and biology respectively.The expected consistency of their distribution pattern was achieved for the first time.We prove that the earth’s ecological conditions affect the homogeneity and accumulation of the distribution of animals,plants and microorganisms.Homogeneity determines the distribution pattern of global kinds of biological consistency,accumulation determines the impact of the evolutionary period on the breadth of distribution,microorganisms appear earliest,plants second,animals later,and their average distribution domain decreases in turn,reflecting these differences.Therefore,this study not only provides a theoretical basis and quantitative basis for the establishment of geographical regionalization scheme but also advances the development of biogeography to a new stage and raises the theory of biogeographic analysis to a new height. 展开更多
关键词 distribution pattern clustering analysis terrestrial biology HOMOGENEITY geographical regionalization
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Clustering Analysis of Distributional Patterns of Global Terrestrial Mammal 被引量:1
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作者 Shen Xiaocheng Lu Jiqi +3 位作者 Shen Qi Ren Yingdang Liu Xintao Zhang Shujie 《Journal of Environmental Science and Engineering(B)》 2022年第4期97-110,共14页
In this study,the world’s land(except Antarctica)is divided into 67 basic geographical units according to ecological types.Using our newly proposed MSCA(Multivariate Similarity Clustering Analysis)method,7,591 specie... In this study,the world’s land(except Antarctica)is divided into 67 basic geographical units according to ecological types.Using our newly proposed MSCA(Multivariate Similarity Clustering Analysis)method,7,591 species of modern terrestrial mammals belonging to 1,374 genera in 162 families and 2,378 species of mammals in the Wallace era before 1876 are quantitatively analyzed,and almost the same clustering results are obtained,with clear levels and reasonable clustering,which conform to the principles of geography,statistics,ecology and biology.It not only affirms and supports the reasonable kernel of Wallace’s scheme,but also puts forward suggestions that should be revised and improved.The large or small differences between the clustering results and the mammalian geographical zoning schemes of contemporary scholars are caused by different analysis methods,and they are highly consistent with the analysis results of chordates,angiosperms and insects in the world analyzed by the same method.Once again,it confirms the homogeneity of the global biological distribution pattern of major groups,and the possibility of building a unified biogeographic zoning system in the world. 展开更多
关键词 Terrestrial mammals distributION cluster analysis geographical division
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Description of a new species and new distributional data for two species of Aphytis (Hymenoptera: Aphelinidae) from China
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作者 Yan Gao Cheng-De Li 《Journal of Forestry Research》 SCIE CAS CSCD 2017年第6期1259-1263,共5页
Aphytis tridentatus Gao and Li sp. nov. is described and illustrated from southwest China, and A. bangalorensis Rosen and DeBach is newly recorded from China. New distributional data for A. chionaspis Ren are also pro... Aphytis tridentatus Gao and Li sp. nov. is described and illustrated from southwest China, and A. bangalorensis Rosen and DeBach is newly recorded from China. New distributional data for A. chionaspis Ren are also provided. 展开更多
关键词 Aphytis tridentatus CHALCIDOIDEA China distribution New species
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ON DISTRIBUTIONAL n-CHAOS
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作者 谭枫 符和满 《Acta Mathematica Scientia》 SCIE CSCD 2014年第5期1473-1480,共8页
Let (X, f ) be a topological dynamical system, where X is a nonempty compact and metrizable space with the metric d and f :X →X is a continuous map. For any integer n≥2, denote the product space by X(n)=X ... Let (X, f ) be a topological dynamical system, where X is a nonempty compact and metrizable space with the metric d and f :X →X is a continuous map. For any integer n≥2, denote the product space by X(n)=X · · · × X| {z }n times . We say a system (X, f ) is generally distributionally n-chaotic if there exists a residual set D ?X(n) such that for any point x=(x1, · · · , xn)∈D, lim inf k→∞#({i:0≤i≤k-1, min{d(fi(xj), fi(xl)):1≤j 6=l≤n}〈δ0}) k=0 for some real numberδ0〉0 and lim sup k→∞#({i:0≤i≤k-1, max{d(fi(xj), fi(xl)):1≤j 6=l≤n}〈δ}) k=1 for any real number δ 〉 0, where #(·) means the cardinality of a set. In this paper, we show that for each integer n ≥ 2, there exists a system (X,σ) which satisfies the following conditions: (1) (X,σ) is transitive;(2) (X,σ) is generally distributionally n-chaotic, but has no distributionally (n+1)-tuples;(3) the topological entropy of (X,σ) is zero and it has an IT-tuple. 展开更多
关键词 transitive systems distributional chaos
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Distributional features of δ^(18) O in precipitation in China
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作者 ZHANG XinpingDepartment of Geography, Hunan Normal University, Changsha 410081 CHINAYao TandongLanzhou Institute of Glaciology and Geocryology, CAS, Lanzhou 730000 CHINA 《Journal of Geographical Sciences》 SCIE CSCD 1998年第2期57-64,共8页
According to calculation on available data, higher δ18O exists in atmospheric precipitation of southeastern and northwestern part of China, and the lower in Northeast China and the southern QinghaiTibet Plateau. In C... According to calculation on available data, higher δ18O exists in atmospheric precipitation of southeastern and northwestern part of China, and the lower in Northeast China and the southern QinghaiTibet Plateau. In China temperature effect appears mainly in the inner continent of midhigh latitudes and the amount effect appears in southeastern coastal regions, the YunnanGuizhou Plateau and QinghaiTibet Plateau where the influence of monsoon climate is obvious. The meteoric water lines (MWLs) of different regions are of certain divergence, which is closely related to the stable isotopic fractionations of the two processes, namely the evaporation of origins and the precipitating of vapor. 展开更多
关键词 δ18 O distributION temperature effect amount effect MWL.
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Research on the Distributional Features of and Interrelationships Between the Dissolved Oxygen, Salinity, pH Value and Nutrient Salts in the Honghai Bay Waters
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作者 王小平 贾晓平 +5 位作者 林钦 李纯厚 甘居利 蔡文贵 王增焕 吕晓瑜 《Marine Science Bulletin》 CAS 2000年第1期38-44,共3页
In this paper, the environmental factors are surveyed of the mariculture waters of the Honghai Bay from the late spring to the early summer (June) in 1998. The distributional features and variation laws of dissolved o... In this paper, the environmental factors are surveyed of the mariculture waters of the Honghai Bay from the late spring to the early summer (June) in 1998. The distributional features and variation laws of dissolved oxygen, salinity, pH value and nutrient salts in the sea water are expounded. Also discussed are their relationships between each other. The results show that the contents of dissolved oxygen and pH value in the sea water increase with the increasing temperature from north (except for No.15~17 stations) to south (expect for No.6 station). At the same time it is affirmed that photosynthesis is the major cause of the high contents of dissolved oxygen and pH value. And the nutrient salt shows a negative correlation with salinity. The total content of phytoplankton obviously increased with the reduction of nutrient salts from north to south. 展开更多
关键词 Honghai BAY dissolved oxygen SALINITY pH value NUTRIENT salt distributional FEATURES
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Monitoring Distributional Changes in Autoregressive Models Based on Weighted Empirical Process of Residuals
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作者 Fuxiao LI Zheng TIAN Zhanshou CHEN 《Journal of Mathematical Research with Applications》 CSCD 2015年第3期330-342,共13页
Change monitoring of distribution in time series models is an important issue. This paper proposes a procedure for monitoring changes in the error distribution of autoregressive time series, which is based on a weighe... Change monitoring of distribution in time series models is an important issue. This paper proposes a procedure for monitoring changes in the error distribution of autoregressive time series, which is based on a weighed empirical process of residuals with weights equal to the regressors. The asymptotic properties of our monitoring statistic are derived under the null hypothesis of no change in distribution. The finite sample properties are investigated by a simulation. As it turns out, the procedure is not only able to detect distributional changes but also changes in the regression coefficient and mean, Finally, we apply the statistic to a groups of financial data. 展开更多
关键词 distributional changes autoregressive models weighted empirical process of residuals
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THE DISTRIBUTIONAL DIMENSION OF FRACTALS
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作者 Xia Li Weiyi Su 《Analysis in Theory and Applications》 2007年第3期283-300,共18页
In the book [1] H.Triebel introduces the distributional dimension of fractals in an analytical form and proves that: for Г as a non-empty set in R^n with Lebesgue measure |Г| = 0, one has dimH Г = dimD Г, where... In the book [1] H.Triebel introduces the distributional dimension of fractals in an analytical form and proves that: for Г as a non-empty set in R^n with Lebesgue measure |Г| = 0, one has dimH Г = dimD Г, where dimD Г and dimH Г are the Hausdorff dimension and distributional dimension, respectively. Thus we might say that the distributional dimension is an analytical definition for Hausdorff dimension. Therefore we can study Hausdorff dimension through the distributional dimension analytically. By discussing the distributional dimension, this paper intends to set up a criterion for estimating the upper and lower bounds of Hausdorff dimension analytically. Examples illustrating the criterion are included in the end. 展开更多
关键词 distributional dimension Hausdorff dimension Bp q^s(R^n space equivalent quasi-norm
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Differential distribution of PINK1 and Parkin in the primate brain implies distinct roles 被引量:1
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作者 Yanting Liu Wei Huang +8 位作者 Jiayi Wen Xin Xiong Ting Xu Qi Wang Xiusheng Chen Xianxian Zhao Shihua Li Xiaojiang Li Weili Yang 《Neural Regeneration Research》 SCIE CAS 2025年第4期1124-1134,共11页
The vast majority of in vitro studies have demonstrated that PINK1 phosphorylates Parkin to work together in mitophagy to protect against neuronal degeneration.However,it remains largely unclear how PINK1 and Parkin a... The vast majority of in vitro studies have demonstrated that PINK1 phosphorylates Parkin to work together in mitophagy to protect against neuronal degeneration.However,it remains largely unclear how PINK1 and Parkin are expressed in mammalian brains.This has been difficult to address because of the intrinsically low levels of PINK1 and undetectable levels of phosphorylated Parkin in small animals.Understanding this issue is critical for elucidating the in vivo roles of PINK1 and Parkin.Recently,we showed that the PINK1 kinase is selectively expressed as a truncated form(PINK1–55)in the primate brain.In the present study,we used multiple antibodies,including our recently developed monoclonal anti-PINK1,to validate the selective expression of PINK1 in the primate brain.We found that PINK1 was stably expressed in the monkey brain at postnatal and adulthood stages,which is consistent with the findings that depleting PINK1 can cause neuronal loss in developing and adult monkey brains.PINK1 was enriched in the membrane-bound fractionations,whereas Parkin was soluble with a distinguishable distribution.Immunofluorescent double staining experiments showed that PINK1 and Parkin did not colocalize under physiological conditions in cultured monkey astrocytes,though they did colocalize on mitochondria when the cells were exposed to mitochondrial stress.These findings suggest that PINK1 and Parkin may have distinct roles beyond their well-known function in mitophagy during mitochondrial damage. 展开更多
关键词 NEURODEGENERATION PARKIN Parkinson’s disease PINK1 subcellular distribution
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