Irreducible representations of some finite groups and galois stability of integral representations

Representation theory is a branch of mathematics that studies properties of abstract groups via their representations as linear transformations of vector spaces. A representation makes an abstract algebraic object more concrete by describing its elements by matrices and the algebraic operations in terms of matrix addition and matrix multiplication. In this research, representations of certain finite groups are presented. The aims of this research are to find the matrix representations of dihedral groups, irreducible representations of dihedral groups and to relate the representations obtained with their isomorphic point groups. For these purposes, some theorems presented by previous researches on the representations of groups have been used. The fact that isomorphic groups have the same properties has also been applied in this research. Another part of this research is to explore on the representations of finite groups over algebraic number fields and their orders under field extension. Thus, this research also aims to prove the existence of abelian Galois stable subgroups under certain restriction of field extensions. The concept of generalized permutation modules has been used to determine the structure of the groups and their realization fields. Matrix representations of dihedral groups of degree six and the irreducible representations of all point groups which are isomorphic to the dihedral groups have been constructed. The existence of abelian Galois stable subgroups under certain restriction of field extensions have also been proven in this research

Defamation in English and Arabic: A Pragmatic Contrastive Study

Defamation is one of the verbal offences in which the plaintiff is accused of a certain wrongful act by one of the ways of publicity. If that wrongful act is proved, then the accused will be punished by law or lowered by his/her home people. Defamation is surely accusing another person of a wrongful act . Accusing can be done by any spoken or written ways whether truthful or doubtful. The purpose beyond those ways is to make those accusations about the victim true in the people's mind even if they are temporarily made. The aim of this study is to elucidate if there is a similarity or a difference between English and Arabic in terms of defamation. It has been hypothesized that both languages are different from each other in terms of the topic under investigation. This study arrives at: In terms of defamation, English and Arabic are similar to each other in having speech acts, grammatical referencing, conveyed meaning, malicious meaning, and discourse structure and framing with intentionality. English defamation cases include speech acts more than Arabic defamation ones

Development of Stage – Distance – Discharge Relationship and Rating Curve using Least Square Method

For any river, besides the importance of stage – discharge relationship (rating curve), a stage-discharge- distance relationship is of more significance.  The accurate estimation of both relationships along a river reach is considered a key point for various applications of water resources engineering such as operation and management of water resources projects, designing of hydraulic structures, and sediment analysis.  In this paper, both relationships were established for the Shatt Al – Hillah river reach by applying multiple linear regression and simple linear regression using least square method for determining regression equations. Twelve gauging stations including three primary and nine secondary stations were considered for this method. Moreover, for evaluating the performance of both regressions, statistical measures such as coefficient of determination, root mean square error, mean square error, and Thiel's factor were used. The study results generally indicate a superior performance of both modeling techniques. MLR model was able to predict and mimic the stage-discharge-distance relationship with a coefficient correlation of about 0.932, while SLR model was able to predict three rating curves for the three primary stations with coefficient correlation of about 0.960, 0.943, and 0.924 respectively

ISO 9126 Quality Model For Evaluating of Student Portal: Al-Madinah International University (Case study)

E-learning is a teaching system that involves electronic resources such as computers and the Internet, and the student portal is an essential tool that supports learning in universities. However, there is a limited evaluation model for educational websites. Therefore, a framework is required to guide the creation of such a model. The study conducted evaluates the quality of the student portal at Al-Madinah International University based on ISO 9126 quality model from the student's perspective, and the results show a good quality portal. Nonetheless, students suggest improvements to enhance its effectiveness, ease of use, and learning process. Keywords: ISO 9126; Al-Madinah International University; Quality Model; Student Portal. eISSN: 2398-4287 © 2023. The Authors. Published for AMER and cE-Bs by e-International Publishing House, Ltd., UK. This is an open-access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/). Peer–review under the responsibility of AMER (Association of Malaysian Environment-Behaviour Researchers), and cE-Bs (Centre for Environment-Behaviour Studies), College of Built Environment, Universiti Teknologi MARA, Malaysia DOI:  https://doi.org/10.21834/e-bpj.v8iSI15.510

Effect of the thickness on the optical properties of nanostructure CuS thin films

At this work, nanostructure copper sulfide (CuS) thin films at different temperature of substrate and thickness (120,200,750) nm have been acquired by chemical spray pyrolysis method. The X-Ray Diffraction (XRD) measurements of all films appeared polycrystalline structure and possessed a hexagonal phase with strong crystalline orientation (103) with crystal size equals approximately 80 nm by using atomic force microscopy (AFM). The linear optical measurements showed that nanostructure CuS thin films have direct energy gap. The energy gap was decreased with increasing thin films thickness. Nonlinear optical properties experiments were performed using Q-switched 1064 nm Nd:YAG laser Z-scan system. The nonlinear refractive index (n2) and nonlinear absorption coefficient (?) were estimated at different thicknesses of nanostructure CuS thin films for different intensities of laser. n2 and ? were decreased with increasing intensity of incident laser beam . Also they were reduced with increasing the nanostructure CuS thin films thicknesses. Also the type of ? were two and three photon absorption , type of n2 were positive nonlinear reflective index and n2 were self-focusing nonlinear refractive index  for all samples

Determination of flexibility of workers working time through Taguchi method approach

Human factor is one of the important elements in manufacturing world, despite their important role in improvement the production flow, they have been neglected while scheduling for many decades. In this paper the researchers taken the human factor throughout their job performance weightage into consideration while using job shop scheduling (JSS) for a factory of glass industry, in order to improving the workers' flexibility. In other hand, the researchers suggested a new sequence of workers' weightage by using Taguchi method, which present the best flexibility that workers can have, while decreasing the total time that the factory need to complete the whole production flow.

An overview of multi-filters for eliminating impulse noise for digital images

An image through the digitization process is referred to as a digital image. The quality of the digital image may be degenerating due to interferences on the acquisition, transmission, extraction, etc. This attracted the attention of many researchers to study the causes of damage to the information in the image. In addition to finding cause of image damage, the researchers also looking for ways to overcome this problem. There are many filtering techniques that have been introduced to deal the damage to the information in the image. In addition to eliminating noise from the image, filtering techniques also aims to maintain the originality of the features in the image. Among the many research papers on image filtering there is a lack of review papers which are an important to facilitate researchers in understanding the differences in each filtering technique. Additionally, it helps researchers determine the direction of research conducted based on the results of previous research. Therefore, this paper presents a review of several filtering techniques that have been developed so far

Public Safety: Escalator Safety Awareness through Game-Based Learning

An escalator is a passenger transportation system in which passengers have direct contact with the machine’s moving powered sections and travel by standing on the moving steps. They are known to be in shopping malls, office buildings, and public transport hubs. The news of the escalator mishap has been reported in the news every year. Human behavior is the leading cause of escalator accidents, with 90% of the victims being young children. This project aims to raise awareness among the public, especially children, regarding escalator safety awareness. This project creates a 2D game that implements a Game-Based Learning (GBL) model for the framework. This project also uses a System Usability Scale (SUS) questionnaire to check the game’s usability. Based on the evaluation, the game got a high SUS score of 85.3. According to the SUS score, the score is classified as grade A with an excellent adjective rating. Thus, the game-based learning approach to safety education has great potential for escalator safety

An overview of the fundamental approaches that yield several image denoising techniques

Digital image is considered as a powerful tool to carry and transmit information between people. Thus, it attracts the attention of large number of researchers, among them those interested in preserving the image features from any factors that may reduce the image quality. One of these factors is the noise which affects the visual aspect of the image and makes others image processing more difficult. Thus far, solving this noise problem remains a challenge for the researchers in this field. A lot of image denoising techniques have been introduced in order to remove the noise by taking care of the image features; in other words, getting the best similarity to the original image from the noisy one. However, the findings are still inconclusive. Beside the enormous amount of researches and studies which adopt several mathematical concepts (statistics, probabilities, modeling, PDEs, wavelet, fuzzy logic, etc.), there is also the scarcity of review papers which carry an important role in the development and progress of research. Thus, this review paper intorduce an overview of the different fundamental approaches that yield the several image-denoising techniques, presented with a new classification. Furthermore, the paper presents the different evaluation tools needed on the comparison between these techniques in order to facilitate the processing of this noise problem, among a great diversity of techniques and concepts

Progression approach for image denoising

Removing noise from the image by retaining the details and features of this treated image remains a standing challenge for the researchers in this field. Therefore, this study is carried out to propose and implement a new denoising technique for removing impulse noise from the digital image, using a new way. This technique permits the narrowing of the gap between the original and the restored images, visually and quantitatively by adopting the mathematical concept ''arithmetic progression''. Through this paper, this concept is integrated into the image denoising, due to its ability in modelling the variation of pixels’ intensity in the image. The principle of the proposed denoising technique relies on the precision, where it keeps the uncorrupted pixels by using effective noise detection and converts the corrupted pixels by replacing them with other closest pixels from the original image at lower cost and with more simplicity