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关于矩阵多项式Jordan标准形刻画
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作者 任芳国 王甜甜 《高等数学研究》 2024年第1期18-21,117,共5页
本文利用矩阵运算、矩阵相似关系及矩阵的秩,深化了Jordan矩阵的性质,并在此基础上刻画了矩阵Jordan标准形中Jordan块的个数及阶数,最后讨论了矩阵多项式Jordan标准形,充实了高等代数中Jordan标准形的结果.
关键词 jordan矩阵 矩阵相似关系 矩阵的秩 矩阵多项式
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分裂的δ-Jordan李color三系的结构
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作者 罗芳 曹燕 《哈尔滨理工大学学报》 CAS 北大核心 2023年第1期137-145,共9页
研究了分裂的δ-Jordan李color三系的结构,定义了分裂的δ-Jordan李color三系的概念,利用分裂的δ-Jordan李color三系的根连通的性质,得到具有对称根系的分裂的δ-Jordan李color三系的分解:T=U+∑[α]∈Λ1/~I[α],其中U是T0的子空间,I[... 研究了分裂的δ-Jordan李color三系的结构,定义了分裂的δ-Jordan李color三系的概念,利用分裂的δ-Jordan李color三系的根连通的性质,得到具有对称根系的分裂的δ-Jordan李color三系的分解:T=U+∑[α]∈Λ1/~I[α],其中U是T0的子空间,I[α]是T的理想,并且满足如果[α]≠[β],那么{I[α],T,I[β]}={I[α],I[β],T}={T,I[α],I[β]}=0。 展开更多
关键词 δ-jordan李三系 李color三系 δ-jordan李color三系 根空间 分裂
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关联代数上的Jordan三重中心化子和(m,n,l)-Jordan三重中心化子的刻画
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作者 周斯名 《新余学院学报》 2023年第2期19-24,共6页
应用代数组合方法,设(X,≤)是一个有限预序集,R是含单位元的2-扭自由的交换环。设I(X,R)是定义在R上的关于X的关联代数,且φ:I(X,R)→I(X,R)是一个线性映射。得到了对任意a∈I(X,R),满足φ(a^(3))=aφ(a)a或3φ(a^(3))=φ(a)a^(2)+aφ(a... 应用代数组合方法,设(X,≤)是一个有限预序集,R是含单位元的2-扭自由的交换环。设I(X,R)是定义在R上的关于X的关联代数,且φ:I(X,R)→I(X,R)是一个线性映射。得到了对任意a∈I(X,R),满足φ(a^(3))=aφ(a)a或3φ(a^(3))=φ(a)a^(2)+aφ(a)a+a^(2)φ(a),那么存在常数λ∈Z(I(X,R)),有φ(a)=λa的结果及若R是含单位元的|(n+l)(m+l)(m+n+l)|-扭自由的交换环,对任意a∈I(X,R),满足(m+n+l)φ(a^(3))=mφ(a)a^(2)+na^(2)φ(a)+laφ(a)a,那么存在常数λ∈Z(I(X,R)),有φ(a)=λa的结果,丰富和拓展了关联代数上的中心化子相关映射。 展开更多
关键词 关联代数 jordan三重中心化子 (m N l)-jordan三重中心化子
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自伴算子的Jordan代数上的双Jordan导子 被引量:1
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作者 纪培胜 綦伟青 侯恩冉 《青岛大学学报(自然科学版)》 CAS 2009年第3期1-3,42,共4页
设H是一个复Hilbert空间,B(H)s是H上的由自伴算子构成的一个Jordan代数.双线性映射d:B(H)s×B(H)s→B(H)s是B(H)s上的双Jordan导子当且仅当存在虚数λ使得任给a,b∈B(H)s都有d(a,b)=λ(ab-ba).双线性映射d:B(Hs)×B(H)s→B(H)s... 设H是一个复Hilbert空间,B(H)s是H上的由自伴算子构成的一个Jordan代数.双线性映射d:B(H)s×B(H)s→B(H)s是B(H)s上的双Jordan导子当且仅当存在虚数λ使得任给a,b∈B(H)s都有d(a,b)=λ(ab-ba).双线性映射d:B(Hs)×B(H)s→B(H)s是B(H)s上的双广义Jordan导子当且仅当在H上存在有界线性算子x使得任给a,b∈B(H)s都有d(a,b)=axb+bx*a. 展开更多
关键词 jordan代数 jordan导子 双广义jordan导子
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三角代数上Jordan同构的刻画
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作者 刘丹 张建华 宋明亮 《南京师大学报(自然科学版)》 CAS 北大核心 2023年第4期1-4,共4页
设U=Tri(A,M,B)是三角代数,V是2-无挠含单位的代数.本文证明了线性双射φ:U→V是Jordan同构的充要条件是φ保单位且下列条件之一成立:(1)φ(x。y)=φ(x)。φ(y),其中x,y∈U满足xy=0.(2)φ(x。y)=φ(x)。φ(y),其中x,y∈U满足x。y=0.(3)... 设U=Tri(A,M,B)是三角代数,V是2-无挠含单位的代数.本文证明了线性双射φ:U→V是Jordan同构的充要条件是φ保单位且下列条件之一成立:(1)φ(x。y)=φ(x)。φ(y),其中x,y∈U满足xy=0.(2)φ(x。y)=φ(x)。φ(y),其中x,y∈U满足x。y=0.(3)φ(x。y)=φ(x)。φ(y),其中x,y∈U满足xy=yx=0. 展开更多
关键词 三角代数 jordan 同构 零积
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形式三角矩阵半环的Jordan双导子
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作者 庄金洪 陈艳平 谭宜家 《曲阜师范大学学报(自然科学版)》 CAS 2023年第2期43-50,共8页
研究了形式三角矩阵半环Tri(R,M,S)的Jordan双导子,给出了形式三角矩阵半环Tri(R,M,S)的Jordan双导子的等价刻画,进而证明了在某些条件下形式三角矩阵半环Tri(R,M,S)的每一个Jordan双导子都是双导子.
关键词 形式三角矩阵半环 双导子 jordan双导子
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Jacobi⁃Jordan代数的局部导子
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作者 胡玉婷 毛明明 陈良云 《海南热带海洋学院学报》 2023年第5期91-101,共11页
主要研究Jacobi‐Jordan代数导子和局部导子的矩阵表达式;运用线性代数的知识,结合Jacobi-Jordan代数的分类情况,从导子的定义出发,给出了Jacobi-Jordan代数导子的矩阵表达式;再利用导子与局部导子之间的关系,计算得到了27种Jacobi-Jor... 主要研究Jacobi‐Jordan代数导子和局部导子的矩阵表达式;运用线性代数的知识,结合Jacobi-Jordan代数的分类情况,从导子的定义出发,给出了Jacobi-Jordan代数导子的矩阵表达式;再利用导子与局部导子之间的关系,计算得到了27种Jacobi-Jordan代数的局部导子在标准基下的矩阵表达式。 展开更多
关键词 Jacobi-jordan代数 导子 局部导子 矩阵表达式
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Receiving antenatal care via mobile clinic: Lived experiences of Jordanian mothers
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作者 Hala A.Bawadi Asma’a S.Abu Abed +1 位作者 Zaid M.Al-Hamdan Safa M.Alzubi 《International Journal of Nursing Sciences》 CSCD 2023年第2期230-237,共8页
Objective To understand the perceptions of pregnant Jordanian women who received antenatal care via mobile clinic,and to contribute new insights into the experiences of these mothers and how they evaluated the service... Objective To understand the perceptions of pregnant Jordanian women who received antenatal care via mobile clinic,and to contribute new insights into the experiences of these mothers and how they evaluated the services that were available.Methods Ten Jordanian mothers who had received antenatal care at a mobile clinic discussed their experiences in semi-structured,audiotaped interviews in a study that adopted a qualitative research design.The analysis was done using interpretative phenomenological analysis.Results Three main themes were identified:Being informed about the medical campaign or missing the opportunity of being informed;The experience of receiving antenatal care was wonderful,although there was only one thing lacking;and they safeguard our life and take any opportunity to educate us.Conclusion Data indicate that the mothers were largely satisfied with most facets of the antenatal care services they had received at the mobile clinics.However,while services are generally well received,there are clear opportunities for ameliorating the quality of services provided.For mothers living in remote,deprived areas,outreach is not just an‘optional extra’but rather an essential service. 展开更多
关键词 jordan Mobile health units PREGNANCY Pregnant women Prenatal care Qualitative research
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Integrating stable isotopes and factor analysis to delineate the groundwater provenance and pollution sources in the northwestern part of the Amman-Al Zarqa Basin, Jordan
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作者 Mutawakil OBEIDAT Ahmad AL-AJLOUNI +2 位作者 Eman BANI-KHALED Muheeb AWAWDEH Muna ABU-DALO 《Journal of Arid Land》 SCIE CSCD 2023年第12期1490-1509,共20页
Globally,groundwater contamination by nitrate is one of the most widespread environmental problems,particularly in arid and semiarid areas,which are characterized by low amounts of rainfall and groundwater recharge.Th... Globally,groundwater contamination by nitrate is one of the most widespread environmental problems,particularly in arid and semiarid areas,which are characterized by low amounts of rainfall and groundwater recharge.The stable isotope composition of groundwater(δ2H-H2O andδ18O-H2O)and dissolved nitrate(δ15N-NO3–andδ18O-NO3–)and factor analysis(FA)were applied to explore groundwater provenance,pollution,and chemistry evolution in the northwestern part of the Amman-Al Zarqa Basin,Jordan.In this study,we collected 23 samples from the Lower Ajloun aquifer in 2021,including 1 sample from a groundwater well and 22 samples from springs.These samples were tested for electrical conductivity,total dissolved solids,pH,temperature,dissolved oxygen,the concentration of major ions(Ca2+,Mg2+,Na+,K+,HCO3–,Cl–,SO42–,and NO3–),and the stable isotope composition of groundwater and dissolved nitrate.The results revealed that groundwater in the study area is mainly Ca–Mg–HCO3 type and can be classified as fresh water,hard water,and very hard water.The range and average concentration of NO3–were 3.5–230.8 and 50.9 mg/L,respectively.Approximately 33%of the sampling points showed NO3–levels above the maximum allowable concentration of 50.0 mg/L set by the World Health Organization(WHO)guidelines for drinking water quality.The values ofδ18O-H2O andδ2H-H2O showed that groundwater in the study area is part of the current water cycle,originating in the Mediterranean Sea,with significant evaporation,orographic,and amount effects.The values of the stable isotope composition of NO3–corresponded toδ15N-NO3–andδ18O-NO3–values produced by the nitrification process of manure or septic waste and soil NH4+.The FA performed on the hydrochemical parameters and isotope data resulted in three main factors,with Factor 1,Factor 2,and Factor 3,accounting for 50%,21%,and 11%of the total variance,respectively.Factor 1 was considered human-induced factor,named"pollution factor",whereas Factor 2,named"conservative fingerprint factor",and Factor 3,named"hardness factor",were considered natural factors.This study will help local researchers manage groundwater sustainably in the study area and other similar arid and semiarid areas in the world. 展开更多
关键词 stable isotope composition δ15N-NO3– δ18O-NO3– groundwater quality pollution sources jordan
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Jordan定理及其应用
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作者 黄述亮 《四川文理学院学报》 2023年第2期17-22,共6页
Jordan标准形是矩阵论中的重要概念,在代数学中发挥着重要作用.Jordan定理是解决相关数学问题的有力工具,文章通过例子展示其在矩阵分解、矩阵相似、特征值的计算及微分线性方程组的求解等方面的应用.
关键词 jordan标准形 矩阵分解 线性微分方程组
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Small ruminant value chain in Al-Ruwaished District,Jordan
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作者 Rula AWAD Hosam TITI +2 位作者 Aziza MOHAMED-BRAHMI Mohamed JAOUAD Aziza GASMI-BOUBAKER 《Regional Sustainability》 2023年第4期416-424,共9页
This study aims to assess the small ruminant value chain in Al-Ruwaished District,Jordan,to identify the potential intervention areas that could improve the production efficiency and guarantee the sustainability of th... This study aims to assess the small ruminant value chain in Al-Ruwaished District,Jordan,to identify the potential intervention areas that could improve the production efficiency and guarantee the sustainability of the small ruminant sector in this area.Sheep breeding is the source of livelihood for most of the people in Al-Ruwaished District,which is characterized by the large number of sheep and goats.We surveyed 5.0% of the small ruminant holders in the study area and conducted individual interviews and surveys with the potential actors in the value chain to undertake a small ruminant value chain analysis.From the survey,we found that the small ruminant value chain consists of five core functions,namely,input supply,production management,marketing,processing,and consumption.Despite the stable impression given by the large number of holdings in the small ruminant sector,the surveyed results show a clear fragility in the value chain of small ruminants in this area.The small ruminant production system is negatively impacted by climate change,especially continuous drought.In addition,the high prices of feed that the farmer cannot afford with clear and real absence of the governmental and non-governmental support activities also impact the development of the value chain.The results of strengths,weaknesses,opportunities,and threats(SWOT)analysis reveal that the major constraints faced by this value chain could be divided into external and internal threats.Specifically,the most prominent external threats are the nature of the desert land and continuous drought,while the major internal threats are the absence of appropriate infrastructure,shortage of inputs,and weakness in the production management and marketing.We proposed solutions to these challenges to ensure the sustainability and effectiveness of the sector,such as the formulation of emergency response plans to severe weather,qualifying farmers’skills,and establishment of agricultural cooperative societies. 展开更多
关键词 Value chain analysis Small ruminants Strengths weaknesses opportunities and threats(SWOT)analysis Climate change Livestock production management jordan
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Water Resources and Water Services Infrastructure and Its Vulnerability to Extreme Events—The Case of Jordan
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作者 Elias Salameh 《Journal of Geoscience and Environment Protection》 2023年第2期30-45,共16页
This study discussed the water sector as a critical infrastructural element in Jordan where the sector is exposed to the extreme events. The exposure of the country to extreme events has initiated this study. Such eve... This study discussed the water sector as a critical infrastructural element in Jordan where the sector is exposed to the extreme events. The exposure of the country to extreme events has initiated this study. Such events are Pollution accidents, flooding, draughts, overexploitation, failure in electricity supply, climate changes, earthquakes, landslides, failure of dams, failure of wastewater treatment plants, failure of desalination plants, sabotage, fire, water theft, migration and demographic changes (immigration and urban migration), relations to neighboring countries, epidemics, and others. These extreme events are discussed in this article and the results show that failures in the water infrastructure and water supply, in Jordan, with its water sector situation have rigorous percussions on the country’s health, food supply, economy, societal stability, the built environment, and on other water-related issues. The study concludes that developing national programs to protect the water infrastructure in the water-fragile country has become very crucial to reach a robust and resilient water sector which not only means providing the inhabitants with quantitatively sufficient and qualitatively healthy water but also aims to incorporate guaranteeing social, economic and political stability. 展开更多
关键词 jordan Critical Infrastructure Extreme Events Cascading Effects Robustness Needs
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How Does Topology Help Solve the Inscribed Rectangle Problem by Proving that Every Jordan Curve Has 4 Vertices that Form a Rectangle?
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作者 Heidi Hassan 《Journal of Applied Mathematics and Physics》 2023年第4期859-873,共15页
When we stare into our complex surroundings, we see objects of different shapes and sizes. However, the shape that is always present, regardless of the complexity of the object, is the circle. The circle is arguably t... When we stare into our complex surroundings, we see objects of different shapes and sizes. However, the shape that is always present, regardless of the complexity of the object, is the circle. The circle is arguably the most fascinating shape in the universe. A circle is defined as the set of all points equidistant from a given point, which, therefore, lies at the center of the circle. One of the various properties of circles is that it has infinite inscribed squares. This is because it is a continuous function, therefore if any point in the circle is transitioned by a specific factor, the other related points in the square would be shifted by the same factor. An ellipse is a similar shape with several inscribed squares. But does any closed curve have an inscribed square? This question was proposed by Otto Toeplitz in 1911 and to this day it is not answered. Another version of this problem is the inscribed rectangle problem which will be discussed in this paper. 展开更多
关键词 Inscribed Rectangle Problem TOPOLOGY jordan Curve Mobius Strip
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关联代数上的(m,n)-Jordan中心化子和(m,n)-中心化子
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作者 周斯名 《商丘师范学院学报》 CAS 2023年第6期15-19,共5页
设(X,≤)是一个有限预序集,R是含单位元的|mn(m+n)(m-n)|-扭自由的交换环.设I(X,R)是定义在R上的关于X的关联代数,且φ:I(X,R)→I(X,R)是一个线性映射.证明了若存在正整数m、n、r≥1,对任意a∈I(X,R),满足(m+n)φ(a^(r+1))=mφ(a)a^(r)+... 设(X,≤)是一个有限预序集,R是含单位元的|mn(m+n)(m-n)|-扭自由的交换环.设I(X,R)是定义在R上的关于X的关联代数,且φ:I(X,R)→I(X,R)是一个线性映射.证明了若存在正整数m、n、r≥1,对任意a∈I(X,R),满足(m+n)φ(a^(r+1))=mφ(a)a^(r)+na^(r)φ(a)或φ(a^(m+n+1))=a^(m)φ(a)a^(n),那么存在常数λ∈Z(I(X,R)),有φ(a)=λa及对任意a∈I(X,R),满足2mφ(AB)+2nφ(BA)=mφ(A)B+mAφ(B)+nφ(B)A+nBφ(A),那么存在常数λ∈Z(I(X,R)),有φ(a)=λa. 展开更多
关键词 关联代数 (m n)-jordan中心化子 (m n)-中心化子
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Abstract of Speech by Hasan Abdullah Al-Dajah,Jordanian Sinologist and Professor of Strategic Studies of Al-Hussein Bin Talal University
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《International Understanding》 2023年第1期17-17,共1页
Mr.Hasan Abdullah AI-Dajah,Jordanian sinologist and professor of Strategic Studies of Al-Hussein Bin Talal University delivered a speech themed on the Future of Chinese Modernisation.Mr.Hasan pointed out that China ha... Mr.Hasan Abdullah AI-Dajah,Jordanian sinologist and professor of Strategic Studies of Al-Hussein Bin Talal University delivered a speech themed on the Future of Chinese Modernisation.Mr.Hasan pointed out that China had embarked on the road of a large-scale modernisation and provided an Eastern mode that combines traditional and modern development.Chinese modernisation is a unique global model in the history of human development,and also a new ideology and theoretical alternative for modernisation of human society created by China with its own national wisdom. 展开更多
关键词 HASAN OWN jordan
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Abstract of Speech by Hussam Al Husseini,Ambassador of the Hashemite Kingdom of Jordan to China
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《International Understanding》 2023年第1期9-9,共1页
Today,experts from different countries including Jordan gather together to discuss upon sinology studies and ways to strengthen cooperation with the great Chinese civilisation so as to enhance our perception.The histo... Today,experts from different countries including Jordan gather together to discuss upon sinology studies and ways to strengthen cooperation with the great Chinese civilisation so as to enhance our perception.The history of human being is a history of continued exploration,exchanges and pursuit of wisdom and knowledge,which led to our progress. 展开更多
关键词 jordan PURSUIT continued
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Jordan矩阵的幂
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作者 晏林 《文山师范高等专科学校学报》 2006年第2期94-95,共2页
利用数学归纳法给出复数域上Jordan矩阵的幂,并给出两种证明方法。
关键词 jordan矩阵 jordan矩阵的幂 jordan标准形
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Dam Safety in Jordan: Factors Affecting Dam Safety, Responsibilities and Required Actions
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作者 Elias Salamah Tayel El-Hasan Maher Abu-Jamah 《Engineering(科研)》 2023年第9期514-532,共19页
Dams in Jordan are exposed to a variety of natural and manmade threats like dams worldwide, but with some peculiar threats due to Jordan’s semi-arid climate, steep topography, tectonic activity, especially along the ... Dams in Jordan are exposed to a variety of natural and manmade threats like dams worldwide, but with some peculiar threats due to Jordan’s semi-arid climate, steep topography, tectonic activity, especially along the Jordan Rift Valley, position in the turbulent Middle East area, and weak socio-economic situation. In this study, the threats facing the main dams in Jordan are discussed and their sources are defined. The responsible agencies for reducing the threats and eliminating their sources are identified, as long as they are manmade. Natural threats are dealt with as superimposed and Jordan has to adapt to them by taking the necessary protective measures. The study concludes that all dams in Jordan are threatened by climate change and siltation and hence reduction in storage. The quality of stored water in dams, which are used for supplying drinking water such as Al-Wehdah, Wadi Al-Arab, Ziglab, Al-Wala and to a certain extent Al-Mujib is threatened by pollution due to urbanization, agricultural and industrial activities. All dams in Jordan are exposed to sabotage threats, which may negatively affect dams’ water quantities and quality. The stability of dams due to engineering failures is observed in the cases of Al-Kafrain, the left abutment of Al-Mujib, the spillway of Wheidi and eventually Al-Wala Dam. The latter was raised based on unique construction technology. The study recommends developing and implementing, as soon as possible, rigorous action plans to eliminate or, minimize the impacts of threats facing dams in Jordan. 展开更多
关键词 DAMS jordan SILTATION Flood Water Stability Climate Change
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Jordan三系的次理想的几个性质(英文) 被引量:3
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作者 张知学 董磊 《河北大学学报(自然科学版)》 CAS 2002年第3期215-218,共4页
首先给出了Jordan三元系的次理想的定义与Jordan三元系的次理想的几条简单性质 ,举例说明了次理想与理想是 2个不同的概念 .然后 ,对一类重要的Jordan三元系———正则Jordan三元系 ,证明了它的次理想成为理想的几个充分条件 .
关键词 jordan三元系 次理想 正则jordan三元系 充分条件
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三角代数上的Jordan-triple初等映射及Jordan同构 被引量:3
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作者 魏妙 张建华 《纺织高校基础科学学报》 CAS 2009年第2期193-197,共5页
设U是三角代数,V为任意代数,证明了若映射M:U→V,M*:V→U为满射,并且满足Jordan-trip le初等映射的形式,则M,M*可加.并进一步讨论了映射M,M*在什么条件下具有Jordan同构形式.
关键词 三角代数 jordan—triple初等映射 可加性 jordan同构
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