Representations Of Group Research Articles

Some inequalities and equations of g-frame operator multipliers for finite group representations

Some inequalities and equations of g-frame operator multipliers for finite group representations

REPRESENTATIONS OF VIETNAMESE ETHNIC MINORITIES IN NEW HIGH SCHOOL ENGLISH TEXTBOOKS

In Vietnamese boarding schools for ethnic minority students, learners use national textbooks, primarily designed to serve the major group - Kinh students. Therefore, representations of Vietnamese people and culture in these textbooks may mainly focus on this group, and consequently lead to unfamiliarity and loss of interest among students (Cunningsworth, 1995). In international contexts, representations of ethnic groups in English textbooks have been found problematic (Bassani, 2015; Kim & Ma, 2018; Yamada, 2006, 2010). In Vietnam, this issue has not received sufficient interest except for only one study into this type of representations by Dinh (2014), who reveals that the Vietnamese culture in old high school English textbooks was mainly of Kinh people. To address this research gap, this study was conducted to investigate the representations in new high school English textbooks and the accompanying teachers’ books. Employing qualitative approach and quantitative approach, with the underlying procedures adapted from the study by Weninger and Kiss (2013), the researchers identified certain problems. Some noteworthy findings are the underrepresentation compared to Vietnamese people and culture, the absence of some groups, and the limited range of contextual topics. From the results, it is recommended that teachers make modifications to classroom procedures and materials, and textbooks designers incorporate ethnic minorities with more diverse topics.

Fuzzy Set Theory Applied on Li-Fraumeni Syndrome Homeopathic Selection of Remedies

In this study, by using the basic concepts and results of the Fuzzy Set Theory, the ambiguous circumstances of homeopathy, regarding the selection, dilution, and potencies are analyzed by parameterization concepts. A comprehensive study of Li-Fraumeni syndrome (LFS) as a genetic autosomal dominant disease is described as related to mutations in the P53 genes. The analysis of the effects and different potencies of some homeopathic medicines like Calcarea Fluorica, Thuja, Carcinosin, Phytolacca, and Calcarea Phos as complementary and alternative medicines are represented through the graphical representation of the different age groups of people. In the context of the Langmuir equation, the dilutions using the Hahnemann and Korsakovian methods with implementing the Fuzzy Set Theory are analyzed.

A critical qualitative content analysis of media representations of underrepresented groups in the context of health identity

Information accuracy is imperative for the media representation regardless of what information or context is. A variety of health-related information is conveyed to viewers through television news and entertainment programs, which include but not restrict to the information about healthcare structure and health professionals, knowledge regarding general health issues, specific illnesses, or topics, and health-promoting behaviors. It is crucial to examine what messages viewers perceive through television programs given the impact on their perceptions, expectations, and actions in reality. Apart from the portrayal of health information, the framing of characters within a context can significantly contribute to the understanding of how exposure to media influences viewers’ lives. By conducting a critical content analysis, this qualitative study has explored media portrayals of individuals from underrepresented groups within the context of health in a fictional medical television drama. The findings provide a critical understanding of media exposure on how viewers perceive the social positioning of underrepresented groups in the context of health identity. Portrayals of underrepresented groups are understood through the discourses of condescension, cultural appropriation, stereotyping, and negativity.

On gamma factors for representations of finite general linear groups

On gamma factors for representations of finite general linear groups

Factors for choosing a pediatric dentist in Saudi Arabia.

The choice of a pediatric dentist is a crucial decision for parents, influenced by a variety of factors. This study aimed to investigate the key determinants that guide parents in the Kingdom of Saudi Arabia in their selection of a pediatric dentist. A cross-sectional survey was administered to a diverse participant pool. The survey captured demographic information, history of dental visits, parents' level of concern about dental treatment for their children, and the importance of specific factors in the choice of a pediatric dentist. The survey was completed by a balanced representation of different age groups and genders. Most participants from Riyadh and other regions had a history of dental visits. Parents' concern about dental treatment varied based on the number of children they had. The most significant factors influencing the choice of a pediatric dentist were the quality of the dental unit's disinfection process, the dentist's ability to communicate with the child and manage uncooperative behaviour, and the dentist's experience. The least influential factors were the proximity of the dental office to the child's school, the dentist's gender, and the number of pediatric dentists in the practice. This study provided valuable insights into the factors that influence parents' decision in choosing a pediatric dentist in The Kingdom of Saudi Arabia. Data helps dental professionals understand parents' priorities and improve their services accordingly to meet patient needs and expectations.

Analysis of Community Social Capital Inclusiveness Towards Waste Pollution Prevention by Shrimp Farming Company: A Case Study of Waste Pollution in Pasir Kuning Beach Area

Sewage pollution originating from the activities of shrimp farming companies in the Pasir Kuning Beach area raises serious concerns about its impact that damages the environment and disrupts the balance of the ecosystem. This research aims to understand and analyze the inclusiveness of social capital in local communities as an effort to prevent sewage pollution. Using a qualitative approach, this research conducted in-depth interviews with community members in the Pasir Kuning Beach Area. Respondents were selected based on criteria that ensured a balanced representation of various community groups, and secondary data was used to provide a broader context. The research findings highlight the central role of social capital in shaping relationships, trust, and cooperation among communities. The implications include developing more effective sewage pollution prevention strategies and providing a foundation for understanding community contributions to coastal ecosystem conservation. The focus on social capital inclusivity as a catalyst for positive change demonstrates the determination of local communities to overcome the negative impacts of shrimp farming activities. In the context of Bangka Belitung, which is affected by the mining sector, this research is significant in efforts to reduce environmental damage. It is hoped that these findings provide valuable insights for stakeholders in formulating sustainable solutions that support the ecology and well-being of local communities in the future.

MATERIALS ANALYSIS OF THE ENGLISH TEXTBOOK FOR THE TENTH GRADE STUDENTS IN INDONESIAN ELT CONTEXT

Selecting course books involves matching the material with course objectives and learners' needs. This study examined the “Bahasa Inggris SMA/MA/SMK/SMAK Kelas X Semester 1 English” textbook material using the McGrath, Cunningsworth, and National Education Standards Agency (BNSP) guidelines to develop an appropriate standard for a textbook evaluation. The blueprint of material evaluation consists of three major stages: pre-evaluation, evaluation, and post-evaluation. The level of compliance was divided into three categories: Yes (= 2 points), No (= 0 points), and Partly (1 point) for the purposes of tabulation and statistical data analysis. This simplified the discussion of the results by allowing a raw score of 0 to 2 for each of the categories examined. The research demonstrates that the textbook is appropriate for use as a teaching tool. The results suggest that there are some highlights for the material evaluation. The provided activities ought to be well-rounded enough to grab the students' interests. Incorporating genuine texts from actual settings can offer students a true immersion in authentic spoken language, aiding them in effectively practicing language skills for real-life communication. It is important to include representations of gender equality and diverse ethnic groups to cater to the needs of students from various cultural and linguistic backgrounds.

The Ricci decomposition of the inertia tensor for a rigid body in arbitrary spatial dimensions

The rotations of rigid bodies in Euclidean space are characterized by their instantaneous angular velocity and angular momentum. In an arbitrary number of spatial dimensions, these quantities are represented by bivectors (antisymmetric rank-2 tensors), and they are related by a rank-4 inertia tensor. Remarkably, this inertia tensor belongs to a well-studied class of algebraic curvature tensors that have the same index symmetries as the Riemann curvature tensor field used in general relativity. Any algebraic curvature tensor can be decomposed into irreducible representations of the orthogonal group via the Ricci decomposition. We calculate the Ricci decomposition of the inertia tensor for a rigid body in any number of dimensions, and we find that (unlike for the Riemann curvature tensor field) its traceless Weyl tensor is always zero, so the inertia tensor is completely characterized by its (rank-2) Ricci contraction. So unlike in general relativity, the traceless Weyl tensor does not cause any qualitatively new phenomenology for rigid-body dynamics in n≥4\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$n \\ge 4$$\\end{document} dimensions.

Linear representations of fundamental groups of Klein surfaces derived from spinor representations of Clifford algebras

We study actions of multiplicative subgroups of Clifford algebras on Riemann surfaces. We show that every Klein surface of algebraic genus greater than 1 is isomorphic to the orbit space of such an action. We obtain linear representations of fundamental groups of Klein surfaces by using the spinor representations of Clifford algebras.

Comparison of Capture Rates of the National Cancer Database Across Race and Ethnicity

The National Cancer Database (NCDB) is an invaluable and widely used resource for cancer research, but the current state of representation of different racial and ethnic groups compared with the United States Cancer Statistics (USCS) database is unknown. To examine whether Hispanic and American Indian or Alaska Native individuals have lower representation in the NCDB compared with the USCS database. This multicenter, retrospective cohort study assessed individuals diagnosed with breast, colorectal, lung, and prostate cancer from January 1, 2004, to December 31, 2006, and January 1, 2017, to December 31, 2019, in the NCDB and USCS databases. Data analysis was performed from September 2022 to October 2023. Time. The primary outcome was the absolute percentage change (APC) in capture rate across the study period. The cohort included 5 175 007 individuals (0.50% American Indian or Alaska Native, 3.10% Asian or Pacific Islander, 12.01% Black, 6.58% Hispanic, and 77.81% White) who were diagnosed with breast, colorectal, lung, and prostate cancer. Capture rates were the lowest for individuals who were Hispanic (40.83% in 2004-2006 and 54.75% in 2017-2019; P < .001) or American Indian or Alaska Native (20.72% in 2004-2006 and 41.41% in 2017-2019; P < .001). The APCs were positive for both racial categories across all 4 cancers. However, overall APCs for Hispanic individuals (13.92%) remained lower than the overall APCs of White individuals (22.23%; P < .001). The APCs were greater for American Indian or Alaska Native individuals than for White individuals for prostate (14.68% vs 11.57%) and breast (21.61% vs 17.90%) cancer (P < .001), but the APCs for American Indian or Alaska Native individuals were lower than for White individuals for lung cancer (24.54% vs 33.03%; P < .001). In this cohort study of individuals diagnosed with cancer in the NCDB, Hispanic and American Indian or Alaska Native individuals diagnosed with breast, colorectal, lung, and prostate cancer were undercaptured in the NCDB, but their representation improved over time. Increased study is needed to determine where these populations predominantly seek cancer care.

String C-group representations of transitive groups: a case study with degree 11

String C-group representations of transitive groups: a case study with degree 11

U0-free quantum group representations

Let g be a finite dimensional complex simple Lie algebra, and let U=Uq(g) be its quantized enveloping algebra with a triangular decomposition U=U−U0U+. We classify all U-module structures on U0 with the regular action of U0 on itself, which are shown to have direct connections with the q-Weyl algebra and the bounded weight representations. We obtain that the necessary and sufficient condition for the existence of such modules is that U has to be of type An(n≥1), Bn(n≥2) or Cn(n≥3). Moreover, we study their module structures and associated weight modules for each type.

Graded trace generating functions of Aut(ΓKn) acting on A(ΓKn)

In this paper, we describe the algebras [Formula: see text] associated with the Hasse graph of the poset of the faces of the complete graph at n vertices [Formula: see text]. Present the relations that define this algebra, calculate the Hilbert series of quadratic grade algebra [Formula: see text] and the graded trace generating functions of [Formula: see text] acting on [Formula: see text] and show that [Formula: see text] is a Koszul algebra. The methodology adopted in this paper consists of building the algebra [Formula: see text] using [I. Gelfand, V. Retakh, S. Serconek and R. L. Wilson, On a class of algebras associated to directed graphs, Selecta Math. 11(2) (2005) 281], giving a presentation based on what was established by [V. Retakh, S. Serconek and R. L. Wilson, On a class of koszul algebras associated to directed graphs, J. Algebra 304(2) (2006) 1114–1129] in terms of the vertices of the graph [Formula: see text]. After that, we use [V. Retakh, S. Serconek and R. L. Wilson, Hilbert series of algebras associated to directed graphs, J. Algebra 312(1) (2007) 142–151] to determine the Hilbert series of [Formula: see text] and use [9] again to show that this algebra is a Koszul algebra. We use [J. Caldeira, A. De Souza Lima and J. Eder Salvador De Vasconcelos, Representations of automorphism groups of algebras associated to star polygons, J. Algebra Appl. 18(10) (2019) 1950197; C. Duffy, Representations of [Formula: see text] acting on homogeneous components of [Formula: see text] and [Formula: see text], Adv. Appl. Math. 42(1) (2009) 94–122] to determine the generating functions of the graduated trace of [Formula: see text] acting on [Formula: see text].

Cultural codes: the semantics of bread in english proverbs and sayings

An anthropological character of the language is one of the most current research paradigms of linguistic culturology. Within the mentioned aspect, language is considered a system of signs to which a group of people ascribes certain meanings in accordance with the specifics of their world perception and processing. Proverbs and sayings are texts that contain didactic and cultural information on values and representations of different ethnic groups. Traditional nature is the key feature of folklore texts, and in this context paroemias can be investigated as cliches that include culturally explained signs or codes, combination of which forms the language of culture, structures and estimates the reality. The aim of the paper is to reveal semantic characteristics of a gastronomic word ‘bread’ in English folklore on the examples of proverbs and sayings. The objectives were the following: to study the texts of paroemias with the component ‘bread’ and its synonym ‘loaf’; to determine semantic groups (macrofields) defining functional, axiological and mythological aspects of bread; to identify traditional representations verbalized in English paroemias. To obtain the aim of research we applied the methods of contextual, semantic, semiotic and interpretative analyses; the complex of applied methods allowed revealing key symbolic meanings of the basic food in English folk texts. In the course of the study we obtained the following results: in paroemias there is a mythologem of the bread alone and spiritual bread; we found some texts verbalizing a topic of punishing for sins by hunger; gastronomic code ‘bread’ reflects the elements of archaic and domestic traditions of England as well as realia, euphemisms and superstitions; bread serves an instrument for comparison, a symbol of Christian religion denoting the God’s gift; bread is the main attribute of wellness and poverty, labour and idleness, it represents basic demand in food and material values in the life of a human-being.

Социальный состав Владимирского отдела Императорского Православного Палестинского общества в дореволюционный период

The article is devoted to the study of the social composition of the Vladimir branch of the Imperial Orthodox Palestinian Society in the pre-revolutionary period. On the basis of published reports on the activities of the organization, the dynamics of changes in the number of its members was traced. The analysis showed that the number of members in the Vladimir branch of the Palestinian Society was close to the average for all reginal departments of the Society. The trends, revealed in the changes of the quantitative composition of the Vladimir department were similar to the other departments: rapid growth in the first three years has been followed by a steady decline since 1905.The study identifies the reasons for the decline in the number of members of the organization in the studied region. Attention is drawn to the fact that one of the reasons could be the death of Archbishop Sergius, who headed the Vladimir branch of the Palestinian Society since its creation, which led to the collapse of the system of personal ties that played a major role in attracting new members.Based on the collected data on the social status of the members of the Vladimir branch of the Palestinian Society, the social composition of the organization was analyzed, the representation of various social groups was revealed. The specifics of the social composition was determined by the fact that the Society was associated with religious activity, and those who were more closely connected with the Church, joined he Society first of all. Those groups were the clergy and merchants, whose representatives were often church wardens and actively participated in church charity. The other social groups are significantly less represented. Secular members made up the majority in the Vladimir branch of the Palestinian Society, but the percentage of the clergy gradually grew.It is noted that high membership fees and the selective invitation of new members determined the elite nature of the society. This, on the one hand, ensured a high status of membership, but, on the other hand, limited the possibilities of organizing the work of the society.

On Normal Subgroups of the Group Representation of the Cayley Tree

Gibbs measure plays an important role in statistical mechanics. On a Cayley tree, for describing periodic Gibbs measures for models in statistical mechanics we need subgroups of the group representation of the Cayley tree. A normal subgroup of the group representation of the Cayley tree keeps the invariance property which is a significant tool in finding Gibbs measures. By this occasion, a full description of normal subgroups of the group representation of the Cayley tree is a significant problem in Gibbs measure theory. For instance, in~[1, 2] a full description of normal subgroups of indices four, six, eight, and ten for the group representation of a Cayley tree is given. The present paper is a generalization of these papers, i.\,e., in this paper, for any odd prime number $p$, we give a characterization of the normal subgroups of indices~$2n$, $n\in\{p, 2p\}$ and $2^i, i\in \mathbb{N},$ of the group representation of the Cayley tree.

CONECTAR: A MINDSET TO INCREASE HISPANIC ENGAGEMENT IN DIGITAL TECHNOLOGY RESEARCH

Abstract In-home digital technology affords the opportunity for more precise and ecologically valid assessments of daily activity engagement. However, concerns about loss of privacy can hinder recruitment, especially within communities already underrepresented in research. Literature on effective, culturally tailored recruitment strategies is limited. Herein, we describe strategies employed for an in-home digital technology study with 100% Mexican American representation. Hispanic participants were recruited from the greater San Antonio area. Direct recruitment strategies conducted in both English and Spanish included community outreach events, a participant repository, cross-enrollment with other research studies, and by word of mouth. Mass recruitment strategies included flyer dissemination, newsletters, and digital announcements through community organizations (i.e., Salud America!) and national (i.e., Research Match) and institutional websites. Between September 2022 and February 2023, 31 participants were enrolled out of 154 individuals who were contacted. Of these, 29% were recruited from community events, 22.6% from word of mouth, 19.4% from cross-enrollment, 12.9% from the research repositories, and 16.1% from mass recruitment strategies. The most common reasons for non-enrollment included lack of interest (n=49), screen failure (n=29), and privacy concerns (n=12).Direct recruitment efforts achieved higher rates of enrollment, while mass media campaigns yielded lower responses and resulted in more unsuccessful contact attempts. Understanding the relationship between social networks and research beliefs may be particularly relevant given the Hispanic culture’s collectivist and family-oriented nature. Hence, social network theories, combined with a diffusion of innovation framework, may be advantageous for increasing trust and may consequently improve representation of diverse groups in research.

Community Engagement in Urban Experiments: Joint Effort for Sustainable Urban Transformation

The increasing complexity of urban regeneration issues has recently made multi-stakeholder collaboration an important part to solve policy problems. While residents form an important part in a variety of collaborative governance processes, approaches used are often criticized as too formal, and lacking more inclusive participation. Therefore, new informal mechanisms of collaboration are sought, to ensure a more effective engagement and representation of population groups. Although community-led participation is the approach that leads to a more effective collaborative process, issues of power and inequality are a challenge in many places in planning practice [13]. Ways of civic empowerment, communication, and negotiation provide participants with transformative learning opportunities so that not only their arguments change but also the participants of the participation process themselves [6]. In order to test urban development ideas, the notion of "urban experiment" has been developed in recent years as a recognized and effective approach. The urban environment is viewed as a creative laboratory for testing the implementation of diverse initiatives and innovations [8]. The inner-city neighbourhoods in many cities are struggling to ensure vitality and liveability, thus these areas often represent a widespread location of urban experiments. In addition to these questions, the problem of community representation manifests itself in many inner cities. The potential to transform city centre streets and vacant areas into user-friendly urban spaces and the impact of those transformations on the city’s livability were recently tested by Riga municipality. Urban experiments varied in scale and form, resulting in street pedestrianization, urban gardens, and other temporary initiatives, which allowed more space for walking and cycling, street sales, social events and other activities. Thus, the aim of this article is to explore processes of testbed planning with regard to the role of community participation in the designing, implementing, and analysing phases of the experiment. After presenting the findings, the article concludes with a discussion on factors that influence public participation in collaborative governance including communication, the balance of interests, and the degree of resident involvement in decision-making.

Shifting representations, ambiguous bodies: African colonial subjects in nineteenth-century Spain

ABSTRACT This article explores the racial politics around African colonial subjects in Spain during the second half of the nineteenth century. Between the 1840s and the 1880s, colonial authorities brought to the metropole small groups of Africans from the Gulf of Guinea with the goal of turning them into hispanicized agents of colonization upon return to their communities. Drawing on official documents, newspapers and travel narratives I examine how the representations of the first groups reveal how Spain was moving from a model of social categorization based on monogenetic theories to a new paradigm influenced by the rise of scientific racism, albeit ideas from both would frequently converge. I will also argue that the mutable and unstable representations of African bodies correlate with the politicization of race, sometimes eluding depictions of physical features, while at other times showcasing them to construct an idea of racial difference.