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域上Hermitian矩阵空间保交换的加法满射 被引量:1
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作者 杨雅琴 杜君花 《科技通报》 北大核心 2016年第3期12-13,78,共3页
C是复数域,Hn(C)表示C上n×n Hermitian矩阵空间,本文刻画了Hn(C)到自身满足f(A1)f(A2)…f(Ak)=f(Ak)f(Ak-1)…f(A1)当且仅当A1A2…Ak=AkAk-1…A1的加法满射f的形式,其中k≥3,k∈Z。
关键词 复数域 n×nHermitian矩阵空间 加法满射 保交换
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三角矩阵代数上的保交换可加映射(英文) 被引量:1
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作者 李晋秀 《数学杂志》 CSCD 北大核心 2004年第2期134-138,共5页
本文研究了三角矩阵代数上保持交换性的可加映射的结构。利用最近Marcoux与Sourour发表在 [LinearAlg .Appl.2 88(1 999) ,89- 1 0 4 ]上的一个结果 ,我们证明了任意域F上的三角矩阵代数Tn(F) (n >2 )上的可加满射 φ双向保交换当且... 本文研究了三角矩阵代数上保持交换性的可加映射的结构。利用最近Marcoux与Sourour发表在 [LinearAlg .Appl.2 88(1 999) ,89- 1 0 4 ]上的一个结果 ,我们证明了任意域F上的三角矩阵代数Tn(F) (n >2 )上的可加满射 φ双向保交换当且仅当 φ是Tn(F)上一个可加泛函与Tn(F)上某个环自同构或环反自同构之和。 展开更多
关键词 三角矩阵代数 可加映射 保交换性映射
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域上2×2对称矩阵空间保可交换的加法映射 被引量:3
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作者 吴海燕 杨雅琴 +1 位作者 王玉宝 关宝玲 《高师理科学刊》 2008年第1期11-12,共2页
F是任意的一个域,S2(F)表示F上2×2对称矩阵代数,刻画了S2(F)到自身满足f(A)f(B)=f(B)f(A)当且仅当AB=BA的加法满射f的形式.
关键词 2×2对称矩阵空间 加法满射 保交换
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实数域上对称矩阵空间保可交换的加法满射 被引量:1
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作者 杨雅琴 《科技通报》 北大核心 2016年第6期21-23,共3页
R是实数域,S_n(R)表示R上n×n对称矩阵空间,本文刻画了S_n(R)到自身满足f(A)f(B)=f(B)f(A)当且仅当AB=BA的加法满射f的形式,并且本文又刻画了S_n(R)到自身满足g(A_1)g(A_2)…g(A_k)=g(A_k)g(A_(k-1))…g(A_1)当且仅当A_1A_2…A_k=A_... R是实数域,S_n(R)表示R上n×n对称矩阵空间,本文刻画了S_n(R)到自身满足f(A)f(B)=f(B)f(A)当且仅当AB=BA的加法满射f的形式,并且本文又刻画了S_n(R)到自身满足g(A_1)g(A_2)…g(A_k)=g(A_k)g(A_(k-1))…g(A_1)当且仅当A_1A_2…A_k=A_kA_(k-1)…A_1的加法满射g的形式,其中k≥3。 展开更多
关键词 实数域 n×n对称矩阵空间 加法满射 保交换
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矩阵代数的一类导子的保交换性
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作者 姜景连 《重庆师范大学学报(自然科学版)》 CAS CSCD 北大核心 2015年第6期81-83,共3页
设Mn(F)是特征为0的域F上的n×n阶矩阵构成的代数,讨论Mn(F)上的非退化导子的保交换性质,刻画了n>4时这类导子的表达式中线性函数f与非退化矩阵S之间的关系:f(X)=c/|S|n∑i=1n∑j=1xijAij(μjjajj-aii),其中S=a(ij)n×n,μjj... 设Mn(F)是特征为0的域F上的n×n阶矩阵构成的代数,讨论Mn(F)上的非退化导子的保交换性质,刻画了n>4时这类导子的表达式中线性函数f与非退化矩阵S之间的关系:f(X)=c/|S|n∑i=1n∑j=1xijAij(μjjajj-aii),其中S=a(ij)n×n,μjj={1,当j≠i时,0,当j=i时。该结论推广了Watkins的研究成果。 展开更多
关键词 矩阵代数 导子 非退化 保交换
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关于诱导映射的两个保持问题
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作者 闫盼盼 张隽 曹重光 《理论数学》 2015年第5期247-254,共8页
令F是一个域,Mn(F)是F上所有nχn矩阵的集合。如果一个映射f:Mn(F)→Mn(F)被定义如下,f:A=(aij)1→(fij((aij))),?A∈Mn(F)其中{aij|i,j∈[1,2,...n]}是关于F的函数集,则称f是Mn(F)的由{fij}诱导的映射。如果AB=BA意味着f(A)f(B)=f(B)f(... 令F是一个域,Mn(F)是F上所有nχn矩阵的集合。如果一个映射f:Mn(F)→Mn(F)被定义如下,f:A=(aij)1→(fij((aij))),?A∈Mn(F)其中{aij|i,j∈[1,2,...n]}是关于F的函数集,则称f是Mn(F)的由{fij}诱导的映射。如果AB=BA意味着f(A)f(B)=f(B)f(A),则f被称为保交换矩阵。如果B2=B意味着(f(B))2=f(B),则f被称为保幂等矩阵。本文我们分别刻画保域上矩阵幂等性及交换性的诱导映射。 展开更多
关键词 矩阵 保交换 幂等 诱导映射
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关于上三角矩阵代数之间经典伴随交换单射
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作者 张隽 曹重光 《纯粹数学与应用数学》 2017年第2期204-210,共7页
令F是一个域,且|F|>n+1,m,n为整数且m,n≥3.Tn(T_m)(F)是F上所有n×n(m×m)上三角矩阵的集合.本文中,刻画了从T_n(F)到T_m(F)的保经典伴随交换的单映射,给出了映射的表达式,对相应的方阵的工作是一个新的补充,所用方法是将... 令F是一个域,且|F|>n+1,m,n为整数且m,n≥3.Tn(T_m)(F)是F上所有n×n(m×m)上三角矩阵的集合.本文中,刻画了从T_n(F)到T_m(F)的保经典伴随交换的单映射,给出了映射的表达式,对相应的方阵的工作是一个新的补充,所用方法是将其化归为相应的线性保持问题. 展开更多
关键词 伴随交换 单映射
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关于域上上三角矩阵的诱导映射
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作者 付丽 闫盼盼 曹重光 《纯粹数学与应用数学》 2016年第6期630-639,共10页
令F是一个域,T_n(F)是F上所有n×n上三角矩阵的集合.本文分别给出了矩阵保相似性及保交换性的定义,并使用矩阵技术和初等方法,得到了T_n(F)的保相似性及保交换性的诱导映射的一般形式,并且给出了例子,来解释一些结果之间的关系.
关键词 上三角矩阵 相似性 保交换 诱导映射
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Ether net Ring Protection for ITU-T G.8032
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作者 Wang Bin Wang Wennai 《China Communications》 SCIE CSCD 2012年第11期87-97,共11页
Ethernet Ring Protection (ERP) introduced by ITU-T G.8032 Recommendation is a new type of packet-switched network protection technology, which can provide ring automatic protection switch. However, the Filtering Datab... Ethernet Ring Protection (ERP) introduced by ITU-T G.8032 Recommendation is a new type of packet-switched network protection technology, which can provide ring automatic protection switch. However, the Filtering Database (FDB) flush method adopted in the current ERP standard has the drawback of introducing a large amount of transient traffic overshoot caused by flooded Ethernet frames right after protection switching. In this article, we propose a G.8032 ERP scheme that uses FDB flush based on area to resolve this issue and investigate how the proposed scheme deals with the traffic flooding problem. The theoretical analysis and simulation show that the proposed scheme can effectively improve the performance of the Ethernet ring by decreasing the unnecessary FDB flush in comparison with the existing approaches. 展开更多
关键词 carrier ethernet ERP FDB flush markov chain
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Effects of soil and water conservation and its interactions with soil properties on soil productivity 被引量:2
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作者 郭旺 李忠武 +7 位作者 申卫平 王晓燕 曾光明 陈晓琳 张雪 张越男 刘桂平 王曙光 《Journal of Central South University》 SCIE EI CAS 2012年第8期2279-2285,共7页
The effects of soil and water conservation (SWC) on soil properties are well documented. However, definitive and quantitative information of SWC and its interactions with soil properties on soil productivity is lack... The effects of soil and water conservation (SWC) on soil properties are well documented. However, definitive and quantitative information of SWC and its interactions with soil properties on soil productivity is lacking for hilly red soil region of southern China. Experiments were conducted in the hilly red soil region of southern China for seven years in three rtmoffplots, each of which represented different SWC forest-grass measures. Principal component analysis and multiple regression techniques were used to relate the aboveground biomass (representing soil productivity) to soil properties. Based on the final regression equations, soil organic carbon content (Sot) is significantly correlated with soil productivity under the condition of forest-grass measures, whereas pH value and cation exchange capacity (Cee) are the main factors for soil productivity without SWC. Therefore, SWC plays an important role in sequestering Soc and improving soil productivity. 展开更多
关键词 hilly red soil region soil erosion soil organic carbon soil productivity
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Active dynamic pre-protection mechanism for MPLS-TP network 被引量:1
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作者 白晖峰 Ji Yuefeng 《High Technology Letters》 EI CAS 2011年第4期354-359,共6页
The active-fault-alarm (AFA) technologies and the dynamic protection mechanism of the optical network controlled by the multi-protocol label switching transport profile (MPLS-TP) are both studied in this article. ... The active-fault-alarm (AFA) technologies and the dynamic protection mechanism of the optical network controlled by the multi-protocol label switching transport profile (MPLS-TP) are both studied in this article. On this basis, an active dynamic pre-protection (ADPP) mechanism is proposed. This active dynamic pre-protection mechanism is allowed to establish a so called temporary protection path (TPP) for the work path before a potential fault occurs and to switch to TPP only after the fault occurs. It keeps the TPP flexibly only when it is in low- quality or fault state to realize dynamic protection even better and to achieve better resource utilization. Simulation results show that the proposed new mechanism has better performance in terms of the flexibility and the efficiency from the perspective of time. 展开更多
关键词 multiple protocol label switching transport profile (MPLS-TP) active-fault-alarm (AFA) network protection
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Ventilation of indoor formaldehyde and estimation of its emission and air exchange rate
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作者 王琨 赵庆良 +1 位作者 李文朴 李玉华 《Journal of Harbin Institute of Technology(New Series)》 EI CAS 2007年第1期41-44,共4页
Residents living in the cold areas such as Harbin generally experience a residence time of approximately 6 months in chilly winter without frequent natural ventilation. To find out the influence of a short period of v... Residents living in the cold areas such as Harbin generally experience a residence time of approximately 6 months in chilly winter without frequent natural ventilation. To find out the influence of a short period of ventilation on the indoor formaldehyde concentration inside a new building, an investigation was conducted for the instance of twice ventilation in a day through window opening. The results showed that the initial concentration of formaldehyde was 3.53 -8. 48 times as high as the concentration after 10 min ventilation. After closing the window, the indoor formaldehyde concentration increased with time and followed an exponential equation of C = C0 exp( - b * t) + ( a + Cu, ) [ 1 - exp( - b * t) ] with correlation coefficient ( R^2 ) of 0. 945 - 0. 999, based on the statistical analysis of 14 groups of measurement data. The developed equation can be used to estimate the emission rate of indoor formaldehyde sources and the air exchange rate of the test room simultaneously. 展开更多
关键词 indoor air FORMALDEHYDE ventilation air exchange
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Voices
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《China Today》 2007年第6期9-9,共1页
Tang Kai: Don’t Turn Real Estate into a Casino ,Hu Xiaolian:Dont Overestimate the Power of Exchange Rate in Reducing Global Trade Imbalances
关键词 Casino Global Trade Imbalances Power of Exchange Rate trade protectionism
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Soil and Vegetation Seasonal Changes in the Grazing Andean Mountain Grasslands
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作者 MU?OZ María ángeles FAZ ángel 《Journal of Mountain Science》 SCIE CSCD 2014年第5期1123-1137,共15页
Andean grasslands ecosystems are fragile environments with rigorous climatologic conditions and low and variable food for the grazing. The Apolobamba area is located in the Bolivian Andean Mountains. Its high grasslan... Andean grasslands ecosystems are fragile environments with rigorous climatologic conditions and low and variable food for the grazing. The Apolobamba area is located in the Bolivian Andean Mountains. Its high grasslands provide a natural habitat for wild and domestic camelids such as vicuna(Vicugna vicugna) and alpaca(Lama pacos). The botanical diversity plays an essential role in maintaining vital ecosystem functions. The objectives of this research were to determine the seasonal changes in soil properties, to study the vegetation changes during the wet and dry seasons and the influence of soil properties and camelid densities on the vegetation in the Apolobamba grasslands. Four zones with different vicuna populations were selected to be studied. The following soil parameters were determined: total organic carbon, total nitrogen, available phosphorous, cation exchange capacity, exchangeable cations, pH and texture. The vegetation season changes were studied through botanical identification, above-ground biomass, plant cover and species richness. Results showed that some soil properties such as C/N ratio, CEC, silt and clay percentages kept stable against the seasonal changes. Generally, soil nutrients were relatively higher during the dry season in the surface and subsurface. The results did not point out the predominant vegetation growth during the wet season. The seasonal vegetation growth depended on each species. Thegood soil fertility corresponded to the highest plant cover. Soil fertility presented no influence on the above-ground biomass of the collected species. The negative influence of camelid grazing on soil properties could not be assessed. However, overgrazing could affect some plant species. Therefore, protection is needed in order to preserve the biodiversity in the Andean mountain grasslands. 展开更多
关键词 Biodiversity Camelid grazing High grasslands Plant communities Soil properties
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Quantum Private Comparison of Equal Information Based on Highly Entangled Six-Qubit Genuine State 被引量:4
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作者 纪兆旭 叶天语 《Communications in Theoretical Physics》 SCIE CAS CSCD 2016年第6期711-715,共5页
Using the highly entangled six-qubit genuine state we present a quantum private comparison(QPC)protocol, which enables two users to compare the equality of two bits of their secrets in every round comparison with the ... Using the highly entangled six-qubit genuine state we present a quantum private comparison(QPC)protocol, which enables two users to compare the equality of two bits of their secrets in every round comparison with the assistance of a semi-honest third party(TP). The proposed protocol needs neither unitary operations nor quantum entanglement swapping technology, both of which may consume expensive quantum devices. Single particle measurements and Bell-basis measurements, which are easy to implement with current technologies, are employed by two users and TP in the proposed protocol, respectively. The proposed protocol can withstand all kinds of outside attacks and participant attacks. Moreover, none of information about the two users' private secrets and the comparison result is leaked out to TP. 展开更多
关键词 quantum private comparison highly entangled six-qubit genuine state security
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