Diagonal And Triangular Matrices

HAMDAN ALSULAIMANI, for the Master of Science in Mathematics, presented on NOV 6 2012, at Southern Illinois University Carbondale. TITLE: Diagonal (Triangular) Matrices PROFESSOR: Dr. R. Fitzgerald I present the Triangularization Lemma which says that let P be a set of properties, each of which is inherited by quotients. If every collection of transformations on a space of dimension greater than 1 that satisfies P is reducible, then every collection of transforma- tions satisfying P is triangularizable. I also present Burnside’s Theorem which says that the only irreducible algebra of linear transformations on the finite-dimensional vector space V of dimension greater than 1 is the algebra of all linear transformations mapping V into V. Moreover, I introduce McCoy’s Theorem which says that the pair {A,B} is triangularizable if and only if p(A,B)(AB-BA) is nilpotent for every noncommutative polynomial p. And then I show the relation between McCoy’s Theorem and Lie algebras

Impact of Visual Graphic Organizer in the Study of Information

Grade 11 students participated in a study that looks to answer the question" does use of Visual Graphic Organizer as teaching technique  improve student to study of information and achievement and their attitudes in grade 11 chemistry in our schools? Attitudes were measured with a Likert Scale survey "Questionnaire"; while achievement was measured with pre-post test. The unit included in this study is "Periodic Table" which is one of the most difficult subjects for the students. The main sources of information were teachers and grade 11 student's book. Students took both a unit test and Likert scale following the instructional period. The results show that using visual graphic organizer enhanced test scores. The Likert scale survey shows that students in the first group like the way of using visual graphic organizer and enjoy it. In contrast, the second group which subjected to the old way did not like it. Keywords: Visual Graphic Organizer, information, achievement, schools.   

Evaluation of the Correlation between Particulate Matter (PM2.5) and Meteorological Parameters

Particulate matters are emitted from a wide range of man-made and natural sources. Particulate matters (ð‘ƒð‘€2.5) pose the greatest problems and consequences to human health. Batu Pahat is considered as main urban area with high industrial activity and other anthropogenic activities. Due to awareness of the people health in Batu Pahat this study was performed. The focus of this research is to examine the levels of ð‘ƒð‘€2.5 in several areas in Batu Pahat and to examine the correlations of ð‘ƒð‘€2.5 with the weather parameters using the Pearson correlation coefficient. Two stations of selected areas were chosen, namely Batu Pahat, and Parit Sulong represented as an urban area, and residential area. Three parameters observed for 3 consecutive months starting from December 2020 to February 2021 in two phases which were phase 1 (7a.m.) and phase 2 (7p.m.). The data was obtained from the website of Department of Environment (DOE). The statistical analysis of the results obtained for the air particulate matters ð‘ƒð‘€2.5 at the study areas will be compared with the Malaysian Ambient Air Quality Guidelines (MAAQG). It was found out that the concentration of ð‘ƒð‘€2.5 at station B (Parit Sulong) the residential area, was higher in phase 1 and phase 2 with value of 15.04 μg/ð‘š3 and 14.12 μg/ð‘š3 respectively. It can be seen that station B have higher value of ð‘ƒð‘€2.5 than station A (Batu Pahat). Air quality index (AQI) values for both stations was less than the permitted value by Malaysian Ambient Air Quality Guidelines

Analysis of Recent Advances in Artificial Intelligence for Human Resource Management

Perhaps people once thought AI was something out of a science fiction novel. The majority of today's working population, however, is well aware that smart technology is actively reshaping the business world. It's true despite the fact that AI has traditionally been associated with science fiction. Human resources are one of the most notable uses of AI today, but it is not an exception to the rule that AI can be used to practically any sector or profession. According to the results of a recent survey conducted by Oracle and Future Workplace, human resource professionals are optimistic that AI will open up opportunities for learning new skills and gaining more personal time. Human resource experts will be able to take on greater responsibility and play a more strategic role inside their companies as a result

Police Powers to Take and Retain DNA Samples in the Qatari Law: A Comparative Study

Chapter 1 of Pt 1 of the Protection of Freedoms Act 2012 introduces a new regime governing the destruction, retention and use of fingerprints, footwear impressions, and samples and the DNA profiles derived from such samples. The purpose of the article is to explain and examine the new regime in all its complexity and, in particular, to assess whether it is compliant with the European Convention on Human Rights (ECHR). The research shows that the 2012 Act does not afford adequate privacy protection to innocent individuals, adding pains to an already coercive process without due justification. In Qatar, the DNA Profiling Act regulates the police powers to take and retain DNA samples. The Act should be amended to comply with human rights requirements as enshrined in the Qatar Constitution 2004, in particular the right to privacy. Keywords: DNA, Privacy, Police Powers, The Protection of Freedoms Act 2012, The DNA Profiling Act 2013

Zakah Compliance Among Owners' Mutual Funds in Saudi Arabia

This study has been done to examine the relationship between attitude and subjective norms and zakah compliance intention among owners’ of mutual funds in Saudi Arabia by using the Theory of Reasoned Action (TRA). One hundred and seventy three (173) completed questionnaires were returned that measured respondents' attitude (ATT) towards zakah on mutual funds, subjective norm (SN) about zakah on mutual funds, and intention (ITT) to pay zakah on mutual funds. The findings of the study show that attitude (ATT) and subjective norm (SN) significantly influence zakah compliance among owners’ of mutual funds. In general, the study proved that the theory of reasoned action is applicable in zakah are

A Policy-Based Resource Brokering Environment for Computational Grids

With the advances in networking infrastructure in general, and the Internet in particular, we can build grid environments that allow users to utilize a diverse set of distributed and heterogeneous resources. Since the focus of such environments is the efficient usage of the underlying resources, a critical component is the resource brokering environment that mediates the discovery, access and usage of these resources. With the consumer\u27s constraints, provider\u27s rules, distributed heterogeneous resources and the large number of scheduling choices, the resource brokering environment needs to decide where to place the user\u27s jobs and when to start their execution in a way that yields the best performance for the user and the best utilization for the resource provider. As brokering and scheduling are very complicated tasks, most current resource brokering environments are either specific to a particular grid environment or have limited features. This makes them unsuitable for large applications with heterogeneous requirements. In addition, most of these resource brokering environments lack flexibility. Policies at the resource-, application-, and system-levels cannot be specified and enforced to provide commitment to the guaranteed level of allocation that can help in attracting grid users and contribute to establishing credibility for existing grid environments. In this thesis, we propose and prototype a flexible and extensible Policy-based Resource Brokering Environment (PROBE) that can be utilized by various grid systems. In designing PROBE, we follow a policy-based approach that provides PROBE with the intelligence to not only match the user\u27s request with the right set of resources, but also to assure the guaranteed level of the allocation. PROBE looks at the task allocation as a Service Level Agreement (SLA) that needs to be enforced between the resource provider and the resource consumer. The policy-based framework is useful in a typical grid environment where resources, most of the time, are not dedicated. In implementing PROBE, we have utilized a layered architecture and façade design patterns. These along with the well-defined API, make the framework independent of any architecture and allow for the incorporation of different types of scheduling algorithms, applications and platform adaptors as the underlying environment requires. We have utilized XML as a base for all the specification needs. This provides a flexible mechanism to specify the heterogeneous resources and user\u27s requests along with their allocation constraints. We have developed XML-based specifications by which high-level internal structures of resources, jobs and policies can be specified. This provides interoperability in which a grid system can utilize PROBE to discover and use resources controlled by other grid systems. We have implemented a prototype of PROBE to demonstrate its feasibility. We also describe a test bed environment and the evaluation experiments that we have conducted to demonstrate the usefulness and effectiveness of our approach