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保谱半径的线性映射(英文) 被引量:1
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作者 徐本龙 马吉溥 孙彦 《曲阜师范大学学报(自然科学版)》 CAS 1998年第2期10-12,共3页
给出B(X)到B(Y)上保谱半径线性映射的一些刻划.
关键词 保谱半径 线性映射 保谱线性映射
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非保谱发展方程族的换位表示
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作者 牟卫华 陈庆辉 《石家庄铁道学院学报》 1998年第2期20-24,共5页
对于一个给定的保谱(λt=0)发展方程族,给出了构造与它相应的非保谱(λt=λn,n≥0)发展方程族ut=Xn的一个简单方法,并且给出向量场Xn的换位表示。讨论了KdV族,TD族和一个新的可积方程族。
关键词 保谱 发展方程族 换位表示 保谱
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保谱*可乘映射
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作者 严单贵 《常德师范学院学报(自然科学版)》 2001年第2期11-13,共3页
设N 为Hilbert空间H上的纯原子Nest。首先引进algN上的保谱 可乘映射的定义 ,称映射φ :algNB(H)为保谱 可乘映射 ,若 φ满足 :1°对 A ,B ,C∈algN ,若AB C ∈algN有 φ(AB C)=φ(A) φ(B) φ(C) ;2°δ(φ(T) ) =δ(T)... 设N 为Hilbert空间H上的纯原子Nest。首先引进algN上的保谱 可乘映射的定义 ,称映射φ :algNB(H)为保谱 可乘映射 ,若 φ满足 :1°对 A ,B ,C∈algN ,若AB C ∈algN有 φ(AB C)=φ(A) φ(B) φ(C) ;2°δ(φ(T) ) =δ(T)。在此基础上 ,利用秩一算子的性质和Nest代数的特点 ,得到映射 φ的表达式为 :φ(T) =ATA- 1φ(I) , T∈algN 。 展开更多
关键词 NEST代数 秩一算子 保谱*可乘映射 保谱半径 BANACH代数 Hiber空间
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三族保谱方程的换位表示 被引量:1
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作者 乔志军 《数学年刊(A辑)》 SCIE CSCD 北大核心 1993年第1期31-38,共8页
基于曹的框架,本文提供三族新的保谱方程的换位表示;并且阐明与同一个特征值问题可联系着两族不同的非线性保谱演化方程.
关键词 保谱方程 换位表示
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保谱反乘法映射 被引量:1
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作者 蹇小平 《常熟高专学报》 2002年第4期14-16,共3页
在Hilbert空间H和K中,给出了B(H)到B(K)的保谱反乘法映射φ的形式为φ(T)=AT A-1,其中A∈B(H,K).
关键词 保谱反乘法映射 秩一算子 HILBERT空间 可逆算子 线性映射 单射
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B(H)上的保数值域线性映射和保谱初等算子
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作者 高明杵 《数学年刊(A辑)》 SCIE CSCD 北大核心 1993年第3期295-301,共7页
记B(H)为一可分无限维复Hilbert空间H上所有有界线性算子的全体。本文给出了B(H)上保数值域线性映射的一些表示定理,以及某类初等算子为保谱映射的充要条件。
关键词 保数值域 线性算子 保谱初等算子
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实秩零C^*-代数上的保谱线性映射
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作者 李颂孝 《山西师范大学学报(自然科学版)》 2004年第1期12-15,共4页
设A是一个实秩零的C 代数,若∶A→A是一个满的自伴的保谱线性映射,由是一个 同构.
关键词 实秩零C^*-代数 保谱线性映射 矩阵 算子代数 HILBERT空间
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保谱乘法映射 被引量:5
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作者 荆武 《数学学报(中文版)》 SCIE CSCD 北大核心 1999年第1期89-92,共4页
设X,Y为Banach空间,证明了B(X)到B(Y)的保谱乘法满射φ具有形式φ(T)=ATA-1,其中A为X到Y上的同构.
关键词 保谱映射 乘法映射 巴拿赫空间 线性算子
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保谱方程的换位表示 被引量:14
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作者 曹策问 《科学通报》 EI CAS CSCD 北大核心 1989年第10期723-724,共2页
1.特征值问题Ly=λy与y_x=Uy的保谱方程,分别具有Lax与零曲率形式 L_t=[V,L],U_t-V_x+[U,V]=0。一个基本问题是:在什么条件下,向量场形式的孤子方程u_t=X(u)与它们是等价的。
关键词 保谱方程 换位表示 孤子方程
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一类耦合非线性扩散方程及Liouville完全可积系统
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作者 王鸿业 耿献国 乔志军 《辽宁大学学报(自然科学版)》 CAS 1996年第2期26-33,共8页
本文引入了一个保谱问题,并导出了相应的耦合非线性演化方程族,得到了两个新的Liouville意义下的有限维完全可积系统.
关键词 非线性 扩散方程 保谱问题 完全可积系统
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保持矩阵特征值之和与积的可乘线性映射
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作者 胡煜寒 《鞍山科技大学学报》 2006年第1期1-4,共4页
将Hochwald的保谱条件进行了弱化,在没有保谱性条件时,得到了域上n×n矩阵代数的保持矩阵特征值之和与积的可乘线性映射,将原有的Hochwald的保谱可乘线性映射进行了推广,获得了一个新的一般性结论。
关键词 矩阵 特征值 线性映射 可乘映射 保谱
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经两种涂料处理的绿色植被的光谱保持比较
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作者 胥春雨 许卫东 +2 位作者 周国强 施昉墨 秦雷 《光电技术应用》 2012年第4期64-66,共3页
主要研究了植物叶子在脱离植物本身后的"保色保谱"问题。从植物的光谱着手,重点研究绿色植物在高光谱下的光谱曲线。使用不同的涂料对树叶进行保色,间隔不同时间对经过处理的树叶进行光谱测量,证明硅丙溶液对树叶的保色保谱... 主要研究了植物叶子在脱离植物本身后的"保色保谱"问题。从植物的光谱着手,重点研究绿色植物在高光谱下的光谱曲线。使用不同的涂料对树叶进行保色,间隔不同时间对经过处理的树叶进行光谱测量,证明硅丙溶液对树叶的保色保谱效果比聚乙烯醇好。研究结果为树叶保色保谱提供了一种新方法,改善了脱离本体的植被的光谱效果。 展开更多
关键词 光谱 保色 保谱
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几个谱问题及相关的发展方程族
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作者 乔志军 《辽宁大学学报(自然科学版)》 CAS 1995年第4期1-4,共4页
在这篇文章中,我们给出几个谱问题及相应的保谱发展方程族。
关键词 谱问题 发展方程族 保谱发展方程 非线性
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DUAL-SPARSITY PRESERVING PROJECTION 被引量:1
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作者 闫雪梅 张丽梅 郭文彬 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI 2012年第3期284-288,共5页
Sparsity preserving projection(SPP) is a popular graph-based dimensionality reduction(DR) method, which has been successfully applied to solve face recognition recently. SPP contains natural discriminating informa... Sparsity preserving projection(SPP) is a popular graph-based dimensionality reduction(DR) method, which has been successfully applied to solve face recognition recently. SPP contains natural discriminating information by preserving sparse reconstruction relationship of data sets. However, SPP suffers from the fact that every new feature learned from data sets is linear combinations of all the original features, which often makes it difficult to interpret the results. To address this issue, a novel DR method called dual-sparsity preserving projection (DSPP) is proposed to further impose sparsity constraints on the projection directions of SPP. Specifically, the proposed method casts the projection function learning of SPP into a regression-type optimization problem, and then the sparse projections can be efficiently computed by the related lasso algorithm. Experimental results from face databases demonstrate the effectiveness of the proposed algorithm. 展开更多
关键词 sparsity preserving projection dimensionality reduction spectral regression lasso algorithm face recognition
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Modeling Gas Chromatographic Retention Indices of Oxygen-containing Compounds by Novel Atom-type Topological Indices 被引量:1
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作者 Xiao-fang Hu Chun-hui Lu Chun-sheng Yin 《Chinese Journal of Chemical Physics》 SCIE CAS CSCD 北大核心 2006年第3期243-247,共5页
Quantitative structure-retention relationship (QSRR) model for the estimation of retention indices (RIs) of 39 oxygen-containing compounds containing ketones and esters was established by our newly introduced dist... Quantitative structure-retention relationship (QSRR) model for the estimation of retention indices (RIs) of 39 oxygen-containing compounds containing ketones and esters was established by our newly introduced distance-based atom-type indices DAI. The useful application of the novel DAI indices has been demonstrated by developing accurate predictive equations for gas chromatographic retention indices. The statistical results of the multiple linear regression for the final model are τ=0.9973 and s=8.23. Furthermore, an external test set of 10 oxo-containing compounds can be accurately predicted with the final equation giving the following statistical results: τpred:0.9966 and spred=8.56. 展开更多
关键词 Topological indices Retention indices Oxygen-containing compounds
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ProSync: A protective synchronization scheme for NC-OFDM based opportunistic spectrum sharing system
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作者 侯炜 Zhang Lin Shah Xiuming 《High Technology Letters》 EI CAS 2012年第2期186-190,共5页
A protective synchronization scheme (ProSync) for the non-contiguous orthogonal frequency-division multiplexing (NC-OFDM) system is proposed in this paper, aiming to minimize the impact of cross-band interference ... A protective synchronization scheme (ProSync) for the non-contiguous orthogonal frequency-division multiplexing (NC-OFDM) system is proposed in this paper, aiming to minimize the impact of cross-band interference in opportunistic dynamic spectrum sharing networks. ProSync partly shrinks the preamble at the transmitter and exploits two multi-band filters at the receiver. By doing so, the potential interference suffered by NC-OFDM users, including both the cross-band interference and self interference, can be greatly reduced. Simulation results verify the effectiveness of ProSync, which is able to lower the carrier frequency offset (CFO) estimation error by up to 50%, compared with the traditional method. 展开更多
关键词 non-contiguous orthogonal frequency-division multiplexing (NC-OFDM) SYNCHRONIZATION cross-band interference opportunistic spectrum sharing
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Analysis of Nitrosamines in Organic Foods
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作者 L. Peykova D. Obreshkova I. Pencheva 《Journal of Chemistry and Chemical Engineering》 2011年第11期1014-1019,共6页
Nitrosamines are classified by IARC as Group 2B carcinogens. Usually they might be present in organic foods as products of reaction between secondary amines and nitrosation system. The aim of the study was to test the... Nitrosamines are classified by IARC as Group 2B carcinogens. Usually they might be present in organic foods as products of reaction between secondary amines and nitrosation system. The aim of the study was to test the concentration of nitrosamines in Bulgarian products. High performance liquid chromatography with UV detector was used for identification and quantitation. A standard solution of N-nitrosodiethanolamine was used as a reference substance and in the validation procedure of samples. The limit of detection of the method was determined to 14× 10^-9 g/mL. The results of the testing showed that analyzed organic foods produced in Bulgaria did not contain nitrosamines above the limit of detection of the method. 展开更多
关键词 HPLC organic foods NITROSAMINES N-nitrosodiethanolamine
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Trace Metal Contamination of Water in the Lubumbashi River Basin, Kafubu, Kimilolo and Kinkalabwamba Rivers in Lubumbashi City, Democratic Republic of Congo 被引量:1
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作者 Bamba Bukengu Muhaya Matthieu Kayembe wa Kayembe +2 位作者 Sonia Catherine Mulongo Clarisse Zoza Kunyonga Faustin Zigabe Mushobekwa 《Journal of Environmental Science and Engineering(B)》 2017年第6期301-311,共11页
Concentrations of fifteen trace metals including Aluminum (Al), Vanadium (V), Chromium (Cr), Manganese (Mn), Iron (Fe), Strontium (Sr), Molybdenum (Mo), Silver (Ag), Cadmium (Cd), Tin (Sn), Caesium... Concentrations of fifteen trace metals including Aluminum (Al), Vanadium (V), Chromium (Cr), Manganese (Mn), Iron (Fe), Strontium (Sr), Molybdenum (Mo), Silver (Ag), Cadmium (Cd), Tin (Sn), Caesium (Cs), Barium (Ba), Lead (Pb), Bismuth (Bi) and Uranium (U) were investigated in water samples collected from sixteen sampling locations in the Lubumbashi river basin and five locations in Kafubu, Kimilolo and Kinkalabwamba rivers during February, March and April 2016. Chemical analyses of the samples were carried out using ICP-MS (Inductively Coupled Plasma-Mass Spectrometer). Water pH was determined using a pH-meter and pH values ranged from 4.2 to 7.8. The highest mean trace metal levels of water were 5,515.816 )μg·L^-1, 166.925μg·L^-1, 3.898μg·L^-1 and 1.879μg·L^-1 for Al, Ba, Cr and U, respectively in Kashobwe river, 2,419.522 μg·L^-1 and 17.994 μg·L^-1 for Fe and Cd, respectively in Kafubu river at its confluence with Lubumbashi rivers, 1,408.136μg·L^-1 for Mn in Kafubu river 1.36 kilometer downward its confluence with Naviundu river, 222.406 μg·L^-1 and 0.092 μg·L^-1 for Sr and Cs, respectively in Kamalondo river 60 meters from the GCM-Lubumbashi (General of Quarries and Mines-Lubumbashi) smelter, 140.294μg·L^-1, 12.063 μg·L^-1 and 0.008μg·L^-1 for Pb, V and Bi, respectively in Munua river, 3.544 μg·L^-1 for Ag in Kabulameshi river, 1.49 μg·L^-1 for Mo in Kafubu river and 0.081μg·L^-1 for Sn in Tshondo river. The mean concentrations of Al, Cd, Fe, Mn and Pb in water of many rivers and the channel exceeded the maximum admissible limits of the WHO (World Health Organization), USEPA (United States Environmental Protection Agency) and EU (European Union) drinking-water standards. Trace metal contamination of water of the studied rivers, channel and springs might be partially attributed to natural processes, unplanned urbanization, poor waste management and mostly to abandoned and ongoing mining and ore processing activities in Lubumbashi city. 展开更多
关键词 Trace metal contamination channel river SPRING WATER pH Lubumbashi city.
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Tribological Performance of Two Potential Environmentally Friendly Ashless Vegetable Oil Additives 被引量:3
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作者 You Jianwei Li Fenfang Chen Boshui 《China Petroleum Processing & Petrochemical Technology》 SCIE CAS 2010年第1期43-48,共6页
Two potential novel environmentally friendly ashless vegetable oil additives, 2-mercaptobenzothiazole derivatives, di-n-dodecyl-[2-(2-benzothiazolyl)thio]ethylborane (LBN) and di-n-dodecylthio-[2-(2-benzothiazoly... Two potential novel environmentally friendly ashless vegetable oil additives, 2-mercaptobenzothiazole derivatives, di-n-dodecyl-[2-(2-benzothiazolyl)thio]ethylborane (LBN) and di-n-dodecylthio-[2-(2-benzothiazolyl) thio]ethylborane (LBNS), were synthesized and their tribological performance as additives in rapeseed oil (RSO) was evaluated using a four-ball wear tester. Their anti-corrosive properties and thermal stability were also examined. The worn surface of the steel ball was analyzed by means of scanning electron microscopy (SEM) and X-ray photoelectron spectroscopy (XPS). The results showed that 2-mercaptobenzothiazole derivatives exhibited excellent anti-corrosive property and high thermal stability. Moreover, they both had good load-carrying capacities and anti-wear and friction-reducing properties. The PR values of samples decreased in the following order: LBNS〉 LBN〉RSO. The results of XPS examination illustrated that the excellent tribological behavior of the prepared compounds used as additives in RSO was attributed to the formation of a protective lubrication film on the worn surface, which consisted of an adsorption layer and a reaction layer containing Fe3O4, FeS, Fe2(SO4)3, FeB, and organic nitrogen-containing compounds. 展开更多
关键词 2-mercaptobenzothiazole derivatives rapeseed oil tribological properties action mechanism
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Land use and forested landscape changes at Sakaerat Environmental Research Station in Nakhorn Ratchasima province, Thailand
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作者 Yongyut Trisurat 《Journal of Life Sciences》 2009年第5期1-9,共9页
The Sakaerat Environmental Research Station (SERS) was established to promote long-term ecological research (LTER) and to demonstrate sustainable forest management and biodiversity conservation. In the past decade... The Sakaerat Environmental Research Station (SERS) was established to promote long-term ecological research (LTER) and to demonstrate sustainable forest management and biodiversity conservation. In the past decade, the government has put a lot of effort into rehabilitating degraded forest both inside and surrounding the SERS landscape in order to link fragmented forest patches. However, there is a lack of appropriate methods that allow the measurement of the effectiveness of reforestation. The objective of this paper is to quantify land use and landscape structure changes between 1990 and 2002. The study area encompasses the SERS and its buffer zone. Land use/land cover maps were visually interpreted into 9 classes using temporal Landsat-TM images. These classes were dry evergreen forest, mixed deciduous forest, dry dipterocarp forest, secondary growth, plantation, grassland, old clearing, agriculture & settlement, and water body. In addition, a Geographic Information System (GIS) and FRAGSTATS package were used to assess fragmentation indices. The results revealed that the annual increment rate of dry evergreen forest and dry dipterocarp forest were 0.51% and 0.97%, respectively. In addition, the total area of forest plantation expanded to roughly three times or increased 193.23% during this period. Agricultural and settlement area decreased 7.56% per year. Most of this area was replaced by plantation and natural regeneration. The fragmentation indices indicated that the remaining dry evergreen forest was highly aggregated or had low fragmentation. The number of patches decreased from 7 to 5, and mean patch size increased significantly. However, mixed deciduous forest and dry dipterocarp forest were relatively fragmented. Mixed deciduous forest showed higher fragmentation. Mean patch size area was substantially decreased from 293 ha in 1990 to 123 ha in 2002 and the mean nearest neighbor distance increased by approximately 400 m during this period. 展开更多
关键词 land use landscape structure FRAGMENTATION GIS Sakaerat Biosphere Reserve
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