关于矩阵多项式Jordan标准形刻画

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.

Formation Mechanisms of Some Features in Siliceous Upper Cretaceous-Lower Tertiary Beds of Jordan-Undulations, Geodes, Boudinages

Geode, boudinage, and undulation structures are widely distributed in the siliceous beds of the Upper Cretaceous/Tertiary rocks in Jordan. Their formation was attributed to tectonic forces, syngenetic processes, organic disintegration processes, subaquatic gliding, compaction and settlement, and meteoritic impacts. In this work, the structural features in the siliceous beds of Jordan are attributed to an interplay of load and directed pressures, and mineralogical transformation processes (opal-A to opal-CT to quartz), governed by pH changes. Tectonic directed pressure was acting in an ESE-WSW direction and is common in the silicified limestone of Upper Cretaceous.

Assessment of Heavy Metals Contamination of Topsoil and Street Dust around Cement Factory in Southern Jordan

Evaluation of assessment of the metal processes governing the metals distribution in soil and dust samples is very significant and protects the health of human and ecological system. Recently, special attention has given to the assessment of metals pollution impact on soil and dust within industrial areas. This study aims to assess the metal contamination levels in the topsoil and street dust around the cement factory in Qadissiya area, southern Jordan. The levels of seven metals (namely Fe, Zn, Cu, Pb, Cr, Cd, and Mn) were analyzed using Flame Atomic Absorption Spec-trophotometer (FAAS) to monitor, evaluate, and to compare topsoil and road dust pollution values of metals of the different types of urban area. The physicochemical parameters which believed to affect the mobility of metals in the soil of the study area were determined such as pH, EC, TOM, CaCO3 and CEC. The levels of metal in soil samples are greater on the surface but decrease in the lower part as a result of the basic nature of soil. The mean values of the metals in soil can be arranged in the following order: Zn > Pb > Mn > Fe > Cu > Cr > Cd. The relatively high concentration of metals in the soil sample was attributed to anthropogenic activities such as traffic emissions, cement factory and agricultural activities. Correlation coefficient analysis and the spatial distribution of indices and the results of statistical analysis indicate three groups of metals: Fe and Mn result by natural origin, Zn, Pb, Cu and Zn result by anthropogenic origin (mainly motor vehicle traffic and abrasion of tires) while Cd is mixed origin. The higher content level values of metals of anthropogenic source in soil samples indicate that it is a source of contamination of air in the studied area. .

The Need for International Cooperation between Israel and Other Middle East Nations to Protect the Jordan River Landscape

The Jordan River, also referred to as Nahr Al Sharieat in Arabic, is a long river in the Middle East that flows from north to south through the Sea of Galilee to the Dead Sea. The Jordan River is bordered by the Golan Heights and the Hashemite Kingdom of Jordan in the east and by Israel and the Palestinian West Bank (Judea and Samaria) in the west. Soil tunnels, including those in the Jordan River watershed and on the Israel, Syria, and Lebanon borders, have a long history of use for warfare, as invasion pathways, smuggling, and storage of rockets, missiles and ordnance and are causes of serious political tension between the countries. Soil tunnel construction and destruction often has adverse environmental and human health impacts in the Jordan River landscape. Due to agricultural wastes, the discharge of untreated sewage, and diversion of saline springs into the river water there has been serious deterioration in the water quality in the lower courses of the Jordan River. The primary objective of this research is to encourage the development of a multi-country clean-up, mitigation, and protection plan for the Jordan River.

Erosion Rates in Dam Catchments in Jordan—Effects of Topography, Geology, and Urbanizations

Erosion as a natural process produces soils, which are very important natural resources for the fest land plant- and animal kingdoms. Loss of the soil cover reduces agricultural production, biodiversity, and the role of soil as a filter for infiltrating water to replenish the groundwater. It also threatens the food supplies. The knowledge of erosion rates of rocks and terrains is important for developing proactive measures to protect soils from erosion and loss. In this study, erosion rates of catchment areas were calculated based on dams’ catchment extensions and the sediment loads transported by flood flows into dams’ lakes. The study results show that the chemically, via floodwater, transported quantities of materials are negligible compared to the solid materials transported by the water. It calculates erosion rates ranging from 0.013 to 0.212 mm/yr (13 - 212 m/106 yr) for the different catchment areas. Erosion rates in Jordan are, generally, higher than those calculated for the different parts of the world ranging from 2.5 to 60 m/106 yr. This fact can be explained by the very steep topography, calcareous rock cover of the catchment areas and the barren rock exposures.

Public knowledge about and attitudes toward organ donation, and public barriers to donate in Jordan: A cross-sectional study

BACKGROUND Organ donation is a critical issue that is receiving greater attention worldwide.In Jordan,the public’s knowledge about and attitudes toward organ donation play a significant role in the availability of organs for transplantation.AIM To assess the public knowledge about and attitudes toward organ donation in Jordan.METHODS A cross-sectional design was used to collect data from 396 Jordanian citizens via an online self-reported questionnaire.RESULTS Overall,396 participants were recruited.Of the entire sample,93.9%of the participants had heard about and had sufficient knowledge about organ donation but they had limited knowledge about brain death.The most common source of information about organ donation was social media networks.Females were found to score significantly higher than males for attitude.Those who had thought about organ donation or registered their names to donate scored signi-ficantly higher in terms of attitudes to donation than their counterparts who had not.The most common reasons for limited organ donation practices in Jordan were a lack of awareness programs and insufficient knowledge in society.CONCLUSION Greater public understanding of organ donation appears to be associated with more positive attitudes toward organ donation.Most participants responded positively regarding their attitude toward organ donation as they believed that this action could give another person a chance to live.Moreover,most agreed that they would donate their organs after their death.Otherwise,the participants had limited general knowledge about brain death,and most had not registered their names to donate their organs.These findings indicate the need for public awareness campaigns and educational programs to encourage more people to become organ donors.

The Influence of Information Technology(IT)on Accrual Accounting Adoption:The Case of the Jordanian Public Sector

Jordan is one of many countries that intends to reform its public sector by adopting accrual accounting,which is primarily carried out through the International Public Sector Accounting Standards(IPSAS)implementation plan,scheduled to be completed by 2021.Considering the difficulties of adoption,this process cannot be completed without an appropriate Information Technology(IT)system capable of providing the accounting information required for this reform.Therefore,this study aims to examine the influence of IT on accrual accounting adoption in the Jordanian public sector.The study employed the quantitative survey approach.Based on 331 usable questionnaires,the descriptive findings showed that the use of IT in the Jordanian public sector is relevant to daily accounting transactions in general and to accrual accounting in particular.The regression analysis showed a positive,significant relationship between IT use and accrual accounting practice.The IT specialist should be able to understand the needs of public sector in adopting accrual-based accounting.In line with today’s digitalization age,which integrates advanced technologies and numerous techniques,this study suggests that a combination of accounting and IT experts is a value added to sharpen the competitiveness of public sector reform.This study contributes to the extant literature in public sector,concerning the relationship between IT and accrual accounting adoption in the context of Jordan.

The Impact of Transformational Leadership on Commitment to Change Among Jordanian Government Accountant Toward IPSAS Implementation

IPSAS was accepted by Jordan’s government in accordance with worldwide trends.The Jordanian Ministry of Finance launched cash-basis IPSAS in 2015 and planned to implement accrual accounting by January 1,2021.However,the commitment to change remains uneven,hindering the full shift.Moving from old accounting processes to new ones is tough.Even then,it hasn’t been implemented,creating a gap due to the difficulty in committing to new accounting standards throughout implementation due to obstacles.Thus,knowing government accountants’issues is essential to applying IPSAS in government accounting.This study examines how transformational leadership affects government accountants’commitment to IPSAS adoption in Jordan’s public sector.This study used a quantitative approach to survey Jordanian Ministry of Finance accountants.The 384-person study had a 78%response rate.Additionally,PLS-SEM was used to confirm variable relationships.Transformational leadership positively predicted IPSAS implementation,according to the study.

δ-Hom-Jordan李超代数的泛中心扩张

对δ-Hom-Jordan李超代数的泛中心扩张理论进行了研究,得出两个δ-Hom-Jordan李超代数的中心扩张的复合并不是中心扩张,从而引进了α-中心扩张的定义,进而定义泛α-中心扩张,并且构造出δ-Hom-Jordan李超代数的泛中心扩张.

三角代数上Jordan同构的刻画

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.

Jacobi⁃Jordan代数的局部导子

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。

形式三角矩阵半环的Jordan双导子

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.

考虑PWM波形特征的纳米晶磁心损耗模型的研究及验证

磁心损耗精确预测对于电力电子变压器的优化设计至关重要。然而,传统的磁心损耗模型在复杂激励下适用性较差,尤其对于占空比可调、高次谐波含量丰富的PWM波磁心损耗预测,计算精度显著下降。基于Jordan损耗分离模型,建立了一种考虑PWM波形特征的磁心损耗计算方法。首先,该方法根据激励波形特征,推导出相应的波形系数及等效频率来计算PWM波激励下的动态涡流损耗,将Jordan模型的适用范围从正弦拓展到PWM波激励下的磁心损耗计算;然后,分析了不同占空比激励下激励波形有效频率及高次谐波含量变化对损耗系数的影响,并对其进行数学表征,实现了整个占空比范围内磁心损耗的精确预测;最后,搭建了高频非正弦激励下软磁材料磁特性测量平台,针对1K107B纳米晶材料,测量了两种典型PWM波激励下的损耗数据。实验结果表明,所建立的磁心损耗模型具有较高的计算精度,相比于传统的Steinmetz改进公式,整体精度提高了25%。

Jordan定理及其应用

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.

Water Resources and Water Services Infrastructure and Its Vulnerability to Extreme Events—The Case of Jordan

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.

How Does Topology Help Solve the Inscribed Rectangle Problem by Proving that Every Jordan Curve Has 4 Vertices that Form a Rectangle?

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.

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

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。

Receiving antenatal care via mobile clinic: Lived experiences of Jordanian mothers

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.

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

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.

分裂的δ-Jordan李color三系的结构

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。