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算子限制的三角扩张谱与强不可约的Cowen-Douglas算子
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作者 翟发辉 《华东理工大学学报(自然科学版)》 CAS CSCD 北大核心 2000年第6期674-677,共4页
设 T是作用在 Hilbert空间 H上的有界线性三角算子。︴Δ(T)表示 T的三角扩张谱 ,︴Δ(T) ={λ∈C:存在 b∈L(C,H)使得 T b0λHC不是三角算子 }。本文证明了如果 H1,H2 …Hn 是三角算子 T的不变子空间 ,︴(T|Hi)∩︴(T|Hj) = ,i≠ j,H= ... 设 T是作用在 Hilbert空间 H上的有界线性三角算子。︴Δ(T)表示 T的三角扩张谱 ,︴Δ(T) ={λ∈C:存在 b∈L(C,H)使得 T b0λHC不是三角算子 }。本文证明了如果 H1,H2 …Hn 是三角算子 T的不变子空间 ,︴(T|Hi)∩︴(T|Hj) = ,i≠ j,H= ni=1Hi,则 ︴Δ(T) =∪ni=1︴Δ(T|Hi)。如果 T∈Bn()是强不可约的 ,︴(T) =, = ,则 λ∈ ︴Δ(T)当且仅当存在 b∈ L(C,H) ,使得T b0λHC是强不可约的。本文还给出了一类半三角算子加小的紧算子相似于其三角算子部分。 展开更多
关键词 三角扩张谱 强不可约算子 C-D算子 三角算子
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非线性滤波器信息泄漏的关键问题研究
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作者 夏天 杨勇 +2 位作者 欧晓聪 方勇 王长辉 《四川大学学报(工程科学版)》 EI CAS CSCD 北大核心 2008年第2期120-124,共5页
非线性滤波器在现代密码系统设计中被广泛采用,因而研究其密码学性质对提高密码设计和分析水平有重要意义。介绍了现代密码体制中使用的布尔函数应满足的性质;定义了扩张函数和扩张谱,定义了非线性滤波器的信息泄漏度;分析了非线性滤波... 非线性滤波器在现代密码系统设计中被广泛采用,因而研究其密码学性质对提高密码设计和分析水平有重要意义。介绍了现代密码体制中使用的布尔函数应满足的性质;定义了扩张函数和扩张谱,定义了非线性滤波器的信息泄漏度;分析了非线性滤波函数输出序列泄漏输入序列信息的关键原因,设计了一种基于信息泄漏的非线性滤波器的攻击方法,该方法还可用于攻击使用了非线性滤波器的密码算法;最后用一个实例说明了如何使用该方法进行攻击。 展开更多
关键词 密码分析 非线性滤波器 扩张函数 扩张谱 信息泄漏
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Swelling and breaking characteristics of limestone under high temperatures 被引量:5
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作者 CHEN Lun-jian HE Jun +1 位作者 CHAO Jun-qi QIN Ben-dong 《Mining Science and Technology》 EI CAS 2009年第4期503-507,共5页
The elemental composition,heat expansibility and breaking characteristics of limestone have been investigated with the use of an energy spectrum analyzer,a SEM,an optical microscope and an experimental heat swelling p... The elemental composition,heat expansibility and breaking characteristics of limestone have been investigated with the use of an energy spectrum analyzer,a SEM,an optical microscope and an experimental heat swelling power system.The results show that 1) the heat expansibility of limestone has anisotropic properties,and 2) the heat expansion rate in the direction perpendicular to stratification is eight times greater than the rate parallel to stratification.The changes in heat expansibility as a function of heating temperature is essentially coincident with that of swelling and breaking of mineral particles and the appearance of cracks,indicating that the reason for causing the heat expansion of rock are the structural changes of limestone caused by thermal stress,crystal transformation and mineral decomposition.The apparent destruction of limestone under high temperatures is largely characterized by rock stratification breaks.When the limestone is heated beyond a certain limit,the rock destroys into crazed cracks. 展开更多
关键词 LIMESTONE high temperature EXPANSIBILITY
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Assessment of Human Impacts on Vegetation in Built-up Areas in China Based on AVHRR,MODIS and DMSP_OLS Nighttime Light Data,1992–2010 被引量:5
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作者 LIU Qinping YANG Yongchun +2 位作者 TIAN Hongzhen ZHANG Bo GU Lei 《Chinese Geographical Science》 SCIE CSCD 2014年第2期231-244,共14页
Since the reform and opening-up program started in 1978,the level of urbanization has increased rapidly in China.Rapid urban expansion and restructuring have had significant impacts on the ecological environment espec... Since the reform and opening-up program started in 1978,the level of urbanization has increased rapidly in China.Rapid urban expansion and restructuring have had significant impacts on the ecological environment especially within built-up areas.In this study,ArcGIS 10,ENVI 4.5,and Visual FoxPro 6.0 were used to analyze the human impacts on vegetation in the built-up areas of 656Chinese cities from 1992 to 2010.Firstly,an existing algorithm was refined to extract the boundaries of the built-up areas based on the Defense Meteorological Satellite Program Operational Linescan System(DMSP_OLS)nighttime light data.This improved algorithm has the advantages of high accuracy and speed.Secondly,a mathematical model(Human impacts(HI))was constructed to measure the impacts of human factors on vegetation during rapid urbanization based on Advanced Very High Resolution Radiometer(AVHRR)Normalized Difference Vegetation Index(NDVI)and Moderate Resolution Imaging Spectroradiometer(MODIS)NDVI.HI values greater than zero indicate relatively beneficial effects while values less than zero indicate proportionally adverse effects.The results were analyzed from four aspects:the size of cities(metropolises,large cities,medium-sized cities,and small cities),large regions(the eastern,central,western,and northeastern China),administrative divisions of China(provinces,autonomous regions,and municipalities)and vegetation zones(humid and semi-humid forest zone,semi-arid steppe zone,and arid desert zone).Finally,we discussed how human factors impacted on vegetation changes in the built-up areas.We found that urban planning policies and developmental stages impacted on vegetation changes in the built-up areas.The negative human impacts followed an inverted′U′shape,first rising and then falling with increase of urban scales.China′s national policies,social and economic development affected vegetation changes in the built-up areas.The findings can provide a scientific basis for municipal planning departments,a decision-making reference for government,and scientific guidance for sustainable development in China. 展开更多
关键词 vegetation change human impact urbanization built-up areas nighttime light data Normalized Difference Vegetation Index(NDVI)
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Analytic Extension of Functions from Analytic Hilbert Spaces
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作者 Kai WANG 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2007年第3期321-326,共6页
Let M be an invariant subspace of H^2 v,It is shown that for each f∈ M^⊥,f can be analytically extended across эBd/σ(Sz1,…Szd).
关键词 Analytic Hilbert space SPECTRUM Analytic extension
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