Set Of Elements Research Articles

Dependence over subgroups of free groups

Given a finitely generated subgroup [Formula: see text] of a free group [Formula: see text], we present an algorithm which computes [Formula: see text], such that the set of elements [Formula: see text], for which there exists a non-trivial [Formula: see text]-equation having [Formula: see text] as a solution is precisely the disjoint union of the double cosets [Formula: see text]. Moreover, we present an algorithm which, given a finitely generated subgroup [Formula: see text] and an element [Formula: see text], computes a finite set of elements from [Formula: see text] (of the minimum possible cardinality) generating, as a normal subgroup, the “ideal” [Formula: see text] of all “polynomials” [Formula: see text], such that [Formula: see text]. The algorithms, as well as the proofs, are based on the graph-theoretic techniques introduced by Stallings and on the more classical combinatorial techniques of Nielsen transformations. The key notion here is that of dependence of an element [Formula: see text] on a subgroup [Formula: see text]. We also study the corresponding notions of dependence sequence and dependence closure of a subgroup.

Defining the Minimal Long-Term Follow-Up Data Elements for Newborn Screening

Newborn screening (NBS) is hailed as a public health success, but little is known about the long-term outcomes following a positive newborn screen. There has been difficulty gathering long-term follow-up (LTFU) data consistently, reliably, and with minimal effort. Six programs developed and tested a core set of minimal LTFU data elements. After an iterative data collection process and the development of a data collection tool, the group agreed on the minimal LTFU data elements. The denominator captured all infants with an NBS diagnosis, accounting for children who moved or died prior to the follow-up year. They also agreed on three LTFU outcomes: if the child was still alive, had contact with a specialist, and received appropriate care specific to their diagnosis within the year. The six programs representing NBS public health programs, clinical providers, and research programs provided data across multiple NBS disorders. In 2022, 83.8% (563/672) of the children identified by the LTFU programs were alive and living in the jurisdiction; of those, 92.0% (518/563) saw a specialist, and 87.7% (494/563) received appropriate care. The core LTFU data elements can be applied as a foundation to address the impact of early diagnosis by NBS within and across jurisdictions.

Interpreting a randomized trial in oncology: Key points for the clinician

The analysis of randomized clinical trials presents a challenge for clinicians. A set of critical elements can facilitate their interpretation. One must question whether the inclusion and exclusion criteria accurately mirror clinical practice. Does the control arm align with what is currently recognized as best practice? Do patients in the control group have access to the best options when the cancer progresses or recurs? The degree of confidence with which phase II trial results can be interpreted also warrants consideration. Finally, informative censoring can be searched for by comparing early censoring rates between treatment arms. Faced with the challenges of interpreting scientific literature, these keys can help the clinician and guide the eventual integration of new results into shared medical decision-making.

Researching Emotional Experiences as Discursive Elements – A Suggested Qualitative Method

As scholars in the fields of political science, media research, and social psychology endeavor to understand crucial aspects of emotionality in the media, there is a growing need to methodologically address the communicative and discursive aspects of affective constructions in media texts. This article argues that by breaking down mediated emotional experiences represented through language in a set of identifiable elements, such as subject, emotion type, valence, intensity, proposed action, and object, those experiences could be used as workable and potent units of analysis when studying discursive and ideological media constructs of emotionality. By connecting insights from emotion science, the sociology of emotions, and media sociology, the qualitative method outlined, Emotional Experience Profiling (EEP), provides a flexible research tool conducive to an understanding of how emotional experiences represented through language in media texts are constructed and how they shape political discourse, identity, and emotional cultures. To demonstrate and illustrate the application of the method, the article provides examples from a pilot study which explores the research question: How do emotional experiences featured in Swedish far-right alternative news media construct and articulate political discourse?

On G-Drazin partial order in rings

AbstractWe extend the concept of a G-Drazin inverse from the set $$M_n$$ M n of all $$n\times n$$ n × n complex matrices to the set $$\mathcal{R}^{D}$$ R D of all Drazin invertible elements in a ring $$\mathcal{R}$$ R with identity. We also generalize a partial order induced by G-Drazin inverses from $$M_n$$ M n to the set of all regular elements in $$\mathcal{R}^{D}$$ R D , study its properties, compare it to known partial orders, and generalize some known results.

Application of the Delphi method to the development of common data elements for social drivers of health: A systematic scoping review.

Collaborative data science requires standardized, harmonized, interoperable, and ethically sourced data. Developing an agreed-upon set of elements requires capturing different perspectives on the importance and feasibility of the data elements through a consensus development approach. This study reports on the systematic scoping review of literature that examined the inclusion of diverse stakeholder groups and sources of social drivers of health variables in consensus-based common data element (CDE) sets. This systematic scoping review included sources from PubMed, Embase, CINAHL, WoS MEDLINE, and PsycINFO databases. Extracted data included the stakeholder groups engaged in the Delphi process, sources of CDE sets, and inclusion of social drivers data across 11 individual and 6 social domains. Of the 384 studies matching the search string, 22 were included in the final review. All studies involved experts with healthcare expertise directly relevant to the developed CDE set, and only six (27%) studies engaged health consumers. Literature reviews and expert input were the most frequent sources of CDE sets. Seven studies (32%) did not report the inclusion of any demographic variables in the CDE sets, and each demographic SDoH domain was included in at least one study with age and sex assigned at birth included in all studies, and social driver domains included only in four studies (18%). The Delphi technique engages diverse expert groups around the development of SDoH data elements. Future studies can benefit by involving health consumers as experts.

Non-torsion element graph of a module over a commutative ring

Let R be a commutative ring with unity and M be a unitary R-module. Let T(M) be the set of all torsion elements of M and NT(M) = M − T(M) be the set of all non-torsion elements of M. The non-torsion element graph of M over R is an undirected simple graph GNT (M) with NT(M) as vertex set and any two distinct vertices x and y are adjacent if and only if x + y ∈ T(M). In this paper, we study the basic properties of the graph GNT (M). We also study the diameter and girth of GNT (M). Further, we determine the domination number and the bondage number of GNT (M). We establish a relation between diameter and domination number of GNT (M). We also establish a relation between girth and bondage number of GNT (M). We also establish a relation between girth and bondage number of GNT (M).

Neuron-specific chromatin disruption at CpG islands and aging-related regions in Kabuki syndrome mice.

Many Mendelian developmental disorders caused by coding variants in epigenetic regulators have now been discovered. Epigenetic regulators are broadly expressed, and each of these disorders typically exhibits phenotypic manifestations from many different organ systems. An open question is whether the chromatin disruption - the root of the pathogenesis - is similar in the different disease-relevant cell types. This is possible in principle, since all these cell types are subject to effects from the same causative gene, that has the same kind of function (e.g. methylates histones) and is disrupted by the same germline variant. We focus on mouse models for Kabuki syndrome types 1 and 2, and find that the chromatin accessibility changes in neurons are mostly distinct from changes in B or T cells. This is not because the neuronal accessibility changes occur at regulatory elements that are only active in neurons. Neurons, but not B or T cells, show preferential chromatin disruption at CpG islands and at regulatory elements linked to aging. A sensitive analysis reveals that regulatory elements disrupted in B/T cells do exhibit chromatin accessibility changes in neurons, but these are very subtle and of uncertain functional significance. Finally, we are able to identify a small set of regulatory elements disrupted in all three cell types. Our findings reveal the cellular-context-specific effect of variants in epigenetic regulators and suggest that blood-derived episignatures, while useful diagnostically, may not be well-suited for understanding the mechanistic basis of neurodevelopment in Mendelian disorders of the epigenetic machinery.

Artificial Intelligence and Digital Ecosystems in Education: A Review

AbstractDigital ecosystems are a set of interconnected elements that enable an integrated and seamless digital experience. In education, the use of Artificial Intelligence (AI) has great potential to improve teaching and learning. However, for the expectations placed on the educational use of AI to be met, it is necessary to develop adequate digital ecosystems that allow its effective implementation. Therefore, it is of great importance to deepen the understanding of these ecosystems and their key elements for such implementation. For this purpose, a systematic review of the literature on this subject was conducted, which included the analysis of 76 articles published in peer-reviewed journals. The main results of the review highlight the current focus of research in that matter, which relates digital ecosystems and artificial intelligence around the personalization of learning. Also, some aspects related to this relationship are analyzed from four categories: networks, applications, services, and users.

Fixed set search matheuristic applied to the knapsack problem with forfeits

This paper focuses on solving the knapsack problem with forfeits (KPF). This variation of the knapsack problem includes soft conflicts or forfeits, where forfeit pairs consist of two items and an associated penalty, which must be subtracted from the total profit if both items in the pair are chosen to be jointly in the knapsack. The proposed method combines the fixed set search (FSS) metaheuristic’s learning mechanism with integer programming to solve subproblems. A new ground set of elements for the KPF is introduced to augment the information provided by the fixed set, and the method for creating fixed sets is adjusted to increase the diversity of solutions. The conducted computational experiments show that the proposed method significantly outperforms current state-of-the-art methods and finds a large number of best-known solutions for the standard test instances. Moreover, the method performs well across a wide range of parameter values. The proposed approach does not significantly exploit any specific properties of the KPF and could potentially be applied to other 0–1 problems, such as the minimum vertex cover problem or the facility location problem, without significant modifications. Additionally, the method’s simplicity makes it suitable for hybridization with other metaheuristic approaches or the incorporation of specific KPF properties to improve its performance.

Parapseudo-complementation on Paradistributive Latticoids

In this paper, we introduce the concept of a parapseudo-complementation in a paradistributive latticoid(PDL) and investigate its elementary properties. We demonstrate the independence of the axioms related to its definition, highlighting the flexibility of this concept. Additionally, we establish necessary conditions for a PDL with a minimal element to be parapseudo-complemented and explore the properties required for parapseudo-complementation to be equationally definable. Moreover, we establish a one-to one correspondence between the set of all minimal elements and the set of all parapseudo-complementations.

LOGISTICS OF MATERIAL FLOWS IN SHIP REPAIR PRODUCTION PROJECTS

A logistics system is a complexly organised, integrated economic system consisting of interconnected links in a single process of managing material and related flows. Project management in logistics systems uses the application of project management methods and models in the process of designing logistics systems and managing changes in them, as well as solving the problems of managing resource flows in logistics systems. The design, creation and management of logistics systems is accompanied by their presentation as an integral set of elements in certain relationships and connections between them. The logistics system should meet the goals of their design and management. The article outlines elements of the mechanism of logistics management of material costs of ship repair production. Efficient use of the company's resources is possible through the systematic development of a system of organisational and technical measures to reduce costs. All cost-cutting measures are closely interrelated and comprehensive, reflecting the relationship of each of them with the entirety of ship repair production elements. The paper substantiates the production features of a ship repair enterprise and analyses the factors that determine the level of costs. It identifies types of ship repair works and stages of preparation of vessels for repair, which makes it possible to plan costs for formation of the production programme. This text presents the production structure of a ship repair enterprise and discusses the peculiarities of product costing. Ship repair companies use planned, indicative, estimated (technical) and reporting costings. This makes it possible to develop a mechanism for managing the costs of ship repair projects and the production process of a ship repair company.

We Put the “UN” in FUN: The Mathematical Guide to Saving the World

We Put the “UN” in FUN: The Mathematical Guide to Saving the World

Urban Physical Environments Promoting Active Leisure Travel: An Empirical Study Using Crowdsourced GPS Tracks and Geographic Big Data from Multiple Sources

Specific environmental characteristics can encourage active leisure travel and increase physical activity. However, existing environment-travel studies tend to ignore the differences in environmental characteristics associated with route choice and travel distance, of which the latter could be more important for health benefits, since longer trips are associated with increased exercise. Additionally, the most recent studies focus on leisure walking and leisure cycling, and activities such as hiking, climbing, and running are examined less frequently. This study, therefore, compares the similarities and differences of the environmental factors associated with route selection and travel distance through non-parametric tests and Cox proportional hazard models. The results show that two intersecting sets of environmental elements relate to both the route chosen and the distance traveled. Land use diversity and varied topography are appealing for both leisure trips and trip length. In addition, the differences in environmental characteristics among specific leisure travels may be attributed to variations in physical activity requirements, preferences for landscape viewing, and/or sensitivity to crowding. Therefore, conclusions drawn without considering the different types of leisure travel could be skewed. Whether particular surroundings may effectively increase physical activity remains uncertain. A more holistic perspective could be beneficial when studying the connection between the environment, active travel, and health.

The interplay between English teachers’ rapport and immediacy and the students’ academic motivation

The teacher-student relationship is not a straightforward activity; however, a shared relationship that comes to fruition in a set of elements can have an impact on it. Among these factors that might affect learners’ academic motivation are teachers’ interaction and immediacy which need to be investigated in different learning contexts; therefore, the current study scrutinized the association between teachers’ rapport and immediacy and learners’ academic motivation. A total number of 304 EFL learners participated in this study. The researchers used two questionnaires (teachers’ interaction & immediacy questionnaire and learners’ academic intrinsic motivation questionnaire) to collect the required data. The results of the analysis demonstrated that there is a strong and positive association between these teachers’ interpersonal variables and students’ academic motivation. The results showed that 61% of variances in students’ academic motivation can be predicted by teachers’ interaction and immediacy. The results also revealed that gender was not a defining factor in the process. The findings emphasized the significant role of teachers and their focus on factors such as students’ needs, fear, power, teachers’ authority, knowledge, and their peers in their classrooms.

Inner-star and star-inner partial orders in ∗-rings

The notions of inner-star and star-inner generalized inverses are introduced on the set of all regular elements in a ∗-ring [Formula: see text]. We thus extend the concept of inner-star and star-inner complex matrices. We study properties of these hybrid generalized inverses on the set [Formula: see text] of all Moore–Penrose invertible elements in [Formula: see text] and thus generalize some known results. Partial orders that are induced by inner-star and star-inner inverses are introduced on [Formula: see text], their properties are examined, and their characterizations are presented.

HodgeRank as a new tool to explore the structure of a social representation

Social representation theory is a branch of social psychology that aims to identify the framework of concepts, ideas, opinions, beliefs, or feelings shared by the individuals within a social group, regarding a social object. Two main problems arise in this theory. The first concerns the identification of the content of the representation, which is the set of cognitive elements shared by the group; the second concerns its structure, which is the way these elements are organized and related among themselves. It is desirable that the methods to address these problems be simple, in regards to the feasibility of the data collection, and reliable, in the sense that they should provide a clear picture of the content and the structure of the representation. No single method proposed in the literature until now fully satisfies these features at the same time. Here we propose the use of HodgeRank, a global ranking method based on the Hodge combinatorial theory, as a new tool to explore the structure of a social representation. In this proposal, the input data is the same as those required for the hierarchical word associations, which is the main method in the field of social representations. However, the HodgeRank provides richer results when compared to the usual approach to analysing this kind of data, based on the Vergés’ double-entry table. The main outcome of the HodgeRank is a graph, analogous to an electric circuit, from which some structural elements of the representation can already be identified. Moreover, the HodgeRank technique identifies the sources of inconsistencies between the global ranking and the aggregated answers within the social group. We interpret such inconsistencies in terms of the stability of the representation and use them to raise conjectures about the potential dynamics of the representation. We illustrate the application of this method in the study of a social representation of COVID-19 within a group of students and also within a group of faculty members from higher education institutions in Brazil.

E014 Migration of the large complex dataset of the UK Juvenile Dermatomyositis Cohort Biomarker Study: challenges and lessons

Abstract Background/Aims In rare disease research, longitudinal prospective cohort studies are important tools to generate invaluable real-world evidence to inform treatment choices and understand outcomes. The Juvenile Dermatomyositis Cohort Biomarker Study & Repository (JDCBS) is a multi-centre, prospective longitudinal cohort study with linked biobank, established in 2000, with 17 active UK-Centres contributing data and samples. It supported over 60 projects generating new evidence, treatments and biomarkers in the field of juvenile myositis. The database in use until March 2023 used aged technology which did not sufficiently meet current needs of the study. REDCap is secure web application for hosting online databases, able to support online longitudinal data capture for multi-centre research studies. The aim of this project was to build and deliver a future-proofed environment and migrate the large JDCBS dataset into the REDCap platform. Methods Clinical, laboratory and outcome data at clinic visits were previously captured through a web interface which loaded data into an MS-Access back-end database. In this project, an internationally agreed set of data elements for use in research in juvenile myositis was adopted and a new data entry platform built, using REDCap and a Trusted Research Environment hosted at Great Ormond Street Digital Research Environment. A multidisciplinary team was formed to deliver migration, including clinicians, study investigators, systems analysts, and health informatics data scientists. Careful comparison of fields in the existing database to those in the internationally agreed dataset before delivery of the new REDCap database and migration of the legacy data took place. Results Key steps to deliver the REDCap interface and migrate the data included: 1. Agreement of data elements to be included, dropped or added, compared to the legacy dataset; 2. Design of study forms and fields within REDCap; 3. Testing new interface; 4. Script design and testing for migration; 5. Data cleaning of legacy dataset; 6. Training 15 collaborators and REDCap accounts management for 63 collaborators; 6. Migration of legacy dataset and quality control of migrated data; 7. Post-migration data checking and feedback on use of the new platform; 8. Summary reports of process, data quality and audit trail of project. In total, 670 patient records and 7431 clinical forms, with data from 338 data fields, were successfully migrated to the new REDCap database. A median value of 11 clinical forms (IQR: 6-18), and 3,718 data points (IQR: 2,028-6084) were migrated per patient. Conclusion Migration of a multi-dimensional longstanding study data set is a complex multi-step task requiring multi-disciplinary engagement of stakeholders. Key elements to achieve success include early agreement of data fields for inclusion, strict definitions of fields, regular engagement with database users, providing robust training, enabling feedback, and acceptance that research datasets should strive to be parsimonious in fields collected. Disclosure D. Cancemi: None. R. Hamilton: None. S. Varakliotis: None. H.D. Nguyen: None. N. Sabire: None. N. Martin: None. L. McCann: None. C. Papadopoulou: None. L. Wedderburn: Other; LW has non-renumerated collaboration with Novartis Inc, relevant to this work.

On a class of column‐weight 3 decomposable LDPC codes with the analysis of elementary trapping sets

AbstractA column‐weight LDPC code with the parity‐check matrix is called decomposable if there exists a permutation on the rows of , such that can be decomposed into column‐weight one matrix. In this paper, some variations of edge coloring of graphs are used to construct some column‐weight three decomposable LDPC codes with girths at least six and eight. Applying the presented method on several known classes of bipartite graphs, some classes of column‐weight three decomposable LDPC codes are derived having flexibility in length and rate. Interestingly, the constructed parity‐check matrices based on the proper edge coloring of graphs can be considered as the base matrix of some high rate column‐weight three quasi‐cyclic (QC) LDPC codes with maximum‐achievable girth 20. The paper also leads to a simple characterization of elementary trapping sets of the decomposable codes based on the chromatic index of the corresponding normal graphs. This characterization corresponds to a simple search algorithm finds all possible existing elementary trapping sets in a girth‐6 or girth‐8 column‐weight 3 LDPC code which are layered super set of a short cycle in the Tanner graph of the code. Simulation results indicate that the QC‐LDPC codes with large girths lifted from the constructed base matrices have good performances over AWGN channel.

Transitioning to Agile Organizational Structures: A Contingency Theory Approach in the Financial Sector

The primary objective of this investigation is to explore the key factors within a large corporation that facilitate the transition from a conventional hierarchical organizational structure to a more agile one. Although there are studies in the literature on the different agile organizational structures, there are no clear guidelines for a large company to transform to an agile framework. This study employs contingency theory as its framework and specifically focuses on the financial sector to identify both opportunities and challenges encountered during this transformation process. Qualitative research methods were employed, involving an analysis of five case studies in which managers served as respondents. This research contributes to the identification of a model as a guideline for the transformation of the organizational structure towards agility that can provide valuable information for companies undergoing such a transformation. The managers surveyed provided their experience and the competencies of their profiles were validated, in addition to the application of the Delphi method to obtain more objective information. The findings underscore that large companies should refrain from adopting a completely flat hierarchical structure. Moreover, there exists a set of strategic-level elements that serve as a guiding framework for the transformation process. Furthermore, it is essential to acknowledge that the transformation process itself does not follow a one-size-fits-all approach; rather, it is contingent upon the unique context of each individual case, and it is also a cultural challenge.