A residual-set framework is introduced for analyzing additive prime conjectures, with particular emphasis on the Strong Goldbach Conjecture (SGC). For each even integer $E_n\ge 4$, the residual set $ℛ\left(E_n\right)=\{E_n-p\mid$ $p<E_n,p\in \mathbb{P}\}$ is defined, and the universal residual set ${ℛ}_{\mathbb{E}}={{{\displaystyle \cup }}^{\text{}}}_{E_n}ℛ\left(E_n\right)$ is constructed. It is shown that ${ℛ}_{\mathbb{E}}$ contains infinitely many primes. A nontrivial constructive lower bound is derived, establishing that the number of Goldbach partitions satisfies $G\left(E\right)\ge 2$ for all $E\ge 8$, and that the cumulative partition count satisfies ${\displaystyle \sum }_{E\le N}G\left(E\right)\gg \frac{N^2}{{\text{log}}^{4}N}$. An optimized deterministic algorithm is implemented to verify the SGC for even integers up to 16,000 digits. Each computed partition $E_n=p+q$ is validated using elliptic curve primality testing, and no exceptions are observed. Runtime variability observed in the empirical tests corresponds with known fluctuations in prime density and modular residue distribution. A recursive construction is formulated for generating Goldbach partitions, using residual descent and leveraging properties of the residual sets. The method extends naturally to Lemoine's Conjecture, asserting that every odd integer $n\ge 7$ can be expressed as $n=p+2q$, where $p,q\in \mathbb{P}$. A corresponding residual formulation is developed, and it is proven that at least two valid partitions exist for all $n\ge 9$. Comparative analysis with the Hardy-Littlewood and Chen estimates is provided to contextualize the cumulative growth rate. The residual-set methodology offers a deterministic, scalable, and structurally grounded approach to additive problems in prime number theory, supported by both theoretical results and large-scale computational evidence.

Background: Type 2 Diabetes Mellitus (T2DM) and Alzheimer’s Disease (AD) are increasingly linked through shared pathophysiological mechanisms, giving rise to the concept of Type 3 Diabetes Mellitus (T3DM). Brain insulin resistance, oxidative stress, and neuroinflammation are central to both conditions, contributing to cognitive decline and AD progression. Aim: This review aims to explore this emerging relationship and its implications for prevention and management. Methods: Using an integrative review, 21 studies were systematically analyzed. The review focused on identifying demographic, genetic, and lifestyle factors contributing to T2DM and AD and examined shared molecular pathways such as insulin dysregulation and amyloid-beta accumulation. Results: The findings reveal that T3DM shares key features with T2DM and AD, including insulin resistance and chronic inflammation. Lifestyle interventions, such as diet and exercise, alongside routine cognitive and metabolic screenings, are critical in mitigating progression. Conclusions: Further research into diagnostic biomarkers and targeted therapies is essential to manage T3DM and its impact on AD. The role of nursing professionals in early detection, education, and holistic management is emphasized as vital in addressing this dual disease burden. This review offers actionable insights into integrated strategies for addressing these interconnected conditions.

Background: Diabetes is a chronic global health issue that requires effective management to improve patient outcomes and quality of life. Nursing education plays a critical role in empowering diabetic patients with self-management skills. Aim This systematic review evaluates the impact of diabetes-focused nursing education on patient outcomes and quality of life. Methods: This study uses PRISMA guidelines and a systematic approach to identify and evaluate relevant literature. Results and Discussion: Among the 14 studies reviewed, eight emphasized self-management education, while four incorporated multidisciplinary approaches. Findings consistently demonstrated that structured nursing education programs significantly improved self-management behaviors, glycemic control, and patient knowledge. For instance, nurse-led self-management programs resulted in substantial enhancements in self-care skills and diabetes-related knowledge. Moreover, interventions that combined health education with psychological support were particularly effective, leading to better blood glucose control and increased adherence to treatment. Studies that examined quality of life reported reductions in anxiety, improved lifestyle habits, and better overall self-management. These findings highlight the multifaceted benefits of nursing education, suggesting that structured, supportive programs positively impact both clinical and psychological aspects of diabetes care. Conclusion: The review emphasizes the value of comprehensive nursing education that integrates both clinical guidance and psychological support for holistic diabetes management. Implications: Ongoing professional development and culturally sensitive education programs are recommended to address the diverse needs of diabetic patients. Future research should investigate the long-term effects of nursing education and explore innovative strategies to enhance diabetes management outcomes.

The quality of communication between healthcare providers and pregnant women is a topic of paramount importance within the realm of maternal healthcare. It is not merely an aspect of medical interaction; rather, it is the prerequisite that influences various critical dimensions of maternal care, including maternal satisfaction, health outcomes, and shared decision-making. Effective communication between healthcare providers and pregnant women is essential for optimal maternal care during pregnancy and childbirth. Maternal satisfaction is a fundamental metric of patient-centered care, and improved communication, characterized by empathy, information sharing, and active listening, cultivates trust and enhances women's contentment with their care experiences. Positive provider-patient interactions are associated with improved emotional well-being, reduced stress levels, and increased adherence to prenatal recommendations, contributing to positive health outcomes for both mother and fetus. Shared decision-making is impacted by open and transparent dialogue between healthcare providers and pregnant women. Inclusive discussions about available interventions, risks, and benefits empower women to make informed choices aligned with their preferences and values. This shared decision-making promotes autonomy, self-efficacy, and a collaborative care partnership, potentially influencing the birthing experience and postpartum adaptation. However, challenges persist in communication quality, such as variability in healthcare provider communication styles, cultural considerations, and system-level factors. Addressing these challenges through targeted interventions, training, and policy implementation can further enhance the overall maternal care experience. Further research is needed to explore innovative strategies that optimize communication and promote positive outcomes throughout the continuum of maternal care.

The high prevalence of low back pain associated with prolonged sitting as a result of work demands, is a major public health problem. Added to this is the sedentary lifestyle and full-time use of vehicles, keeping workers in this seated position. We now know the many benefits of regular exercise and physical activity. Inactivity is considered a risk factor associated with the development of lower back pain. We undertook this study to make subjects aware of the consequences of this posture. In addition, we wanted to help them relieve lower back pain and functional disability caused by prolonged sitting posture. To achieve this, we have set ourselves the goal of assessing the effect that the combination of a physical exercise program and massage with shea butter could have on lumbar pain and functional disability in inactive sedentary officials with full-time lumbar pain driving their vehicles. To achieve this goal, we brought together 45 subjects divided into three experimental groups. The results show that the group receiving the combination of an exercise and massage program with shea butter, experienced a significant decrease in pain and functional disability over the 6 weeks. Thus, the combination of an exercise and massage program with shea butter allows effective management of pain and functional disability in inactive sedentary officials.

The purpose of this research is: 1. To determine the description of emotional intelligent and leadership style in the Integrated Service Unit (UPT) Regional Revenue Management in Pematangsiantar. 2. To determine the influence of emotional intelligent to leadeship style in the Integrated Service Unit (UPT) Regional Revenue Management in Pematangsiantar. The research uses literature research design and field research. The population in this study were all administrative employee at in the Integrated Service Unit (UPT) Regional Revenue Management in Pematangsiantar, emounted to 42 employees. The type of data used are qualitative data and quantitative data. Sources of data used are primary and secondary. The data were collected through questionnaries, interviews and documentation. Test of instrument used with validity test and reliability test. The analysis technique used are normality test, qualitative descriptive analysis and quantitative descriptive analysis. The result of this study can be summarized as follows: 1. Emotional intelligent and leadership style are good. 2. Emotional intelligent have positive effect on leadership style. 3. Emotional intelligent heve moderately corelation with leadership style then the level of leadership style can be explained by emotional intelligent. 4. H0 is rejected, meaning that emotional intelligent has positive and significantly to leadership style. The suggestions of this research are: 1. To make leadership style, the leaders should be provided opportunities for employee to be more independently in making decisions both individually or in grups. 2. To enhance emotional intelligent, the leaders should record data of employee to know their skill, knowledge or work experience

Eating at home remains very much ingrained in Ghanaian culture but rapid urbanization coupled with busy lifestyle and advancement in technology has greatly changed the way of life of many Ghanaians. These changes have altered the tradition of cooking and eating at home. The study focused on the determinants of consumer patronage of street foods in the Koforidua Metropolis. The target population comprised customers that patronize the street foods in Koforidua Metropolis. From the target population, 197 consumers were selected using convenience. A structured self-administered questionnaire was utilized to gather the required data. The data collected were coded and analyzed with the help of SPSS-23. The findings revealed that food characteristics and social status determines consumers patronage of street food. It became evident that age (r=0.261, p<0.01), age (r=-0.318, P<0.01), educational level (r=0.144, P<0.05) and occupation (r=-0.477, P<0.01) of consumers has a significant influence on the decision and patronage of street food. The study concluded that food characteristics and social factors are major determinants of consumers patronage of street foods. It is recommended that Food and Drug Authority (FDA), other stakeholders, and street food vendors work cooperatively to establish laws that capture the distinctive and diverse foods sold on the street and their various preparation, storage, and sale methods in order to ensure that food preparation and sales are safe and hygienic.

This paper is a general summary of Neuralink, a revolutionary technology set to elevate human life and neurology. Neuralink itself is a key testimonial to the evolution of neuroscience and even brain-computer interfaces, otherwise known as BCI. The original few BCI experiments were conducted on monkeys in the 1960s and 70s, in which the experiment itself narrowed down and understood brain function as a general concept [3]. More specifically, "Work on these technologies began in the early 1970s, led by computer science professor J.J. Vidal at UCLA" [12]. Science itself progresses day by day, growing rapidly in recent years, especially in neuroscience, something highlighted as a focal point in the previous statement. Moreover, recently we have seen technology go on a rampant rise in terms of popularity, inventions, and changes to the human lifestyle. The interactions humans had with technology initially developed with wearables or wearable technology, such as Apple Watches, AirPods, and Fitbits, and now they have even prompted advancements in brain-computer interfaces. Technology has had the power to advance science, but now it’s capable of changing the human mind. Going back to Neuralink, it’s a startup that began its initiative in 2016 and was approved by the FDA for clinical trials in May of 2023, ready to create a wave of change in the field of neuroscience [6]. The foremost baffling thing is how this chip plans on being placed in the somatosensory system. The somatosensory system is a part of the brain that deals with motor actions, recognition, and perception, and applying Neuralink in this area should supposedly allow for cures and treatment of amyotrophic lateral sclerosis, Parkinson’s disease, spinal cord injuries, epilepsy, autism, depression, schizophrenia, and possibly blindness [9]. Neuralink is deemed to lead to a life-changing future, and with co-founders and investors like Elon Musk, there is a lot to know about this piece of technology.

Knee osteoarthritis (KOA) is a chronic degenerative joint disorder that significantly impairs mobility and quality of life. While surgical interventions such as total knee arthroplasty (TKA) are effective in severe cases, conservative treatments are critical for early and intermediate disease management. This review evaluates the efficacy, safety, and clinical applications of both conservative and surgical treatment approaches, including lifestyle modifications, physical therapy, pharmacological interventions, regenerative medicine, and surgical procedures. The integration of a multidisciplinary approach is emphasized as a key strategy for optimizing clinical outcomes and tailoring interventions to disease severity.

Recent advancements in the screening, diagnosis, and management of obstructive sleep apnea (OSA) have significantly improved patient outcomes. For screening, the use of home sleep apnea testing (HSAT) has become more prevalent, offering a convenient and cost-effective alternative to traditional in-lab polysomnography. HSAT devices have shown good specificity and sensitivity, particularly in patients with a high pre-test probability of OSA. In terms of diagnosis, advancements in wearable technology and mobile health applications have enabled continuous monitoring of sleep patterns and respiratory parameters. These tools provide valuable data that can be used to identify OSA more accurately and promptly. Additionally, machine learning algorithms are being integrated into diagnostic processes to enhance the accuracy of OSA detection by analyzing large datasets and identifying patterns indicative of the condition. Management of OSA has also seen significant progress. Continuous positive airway pressure (CPAP) therapy remains the gold standard, but new developments include auto-adjusting CPAP devices that optimize pressure settings based on real-time feedback. Mandibular advancement devices and hypoglossal nerve stimulation are emerging as effective alternatives for patients who are CPAP-intolerant. Furthermore, lifestyle interventions such as weight management, positional therapy, and exercise have been shown to complement medical treatments, leading to better overall outcomes. This review article highlights these advancements that collectively contribute to improved patient adherence, reduced symptoms, and enhanced quality of life for individuals with OSA.

This study investigated the use of digital design as a tool for assessing attitudes among male sex offenders by exploring how artistic expression can reveal complex emotional landscapes related to their crimes. The study utilized digital paintings, a type of digital design that involves creating artwork using digital tools and software. Digital painting tools allowed the researcher to simulate traditional painting techniques, while benefiting from the flexibility and versatility of digital media. It is essential to comprehend and address offenders’ attitudes towards sexual crimes to create prevention and rehabilitation plans that work. The effectiveness of digital paintings that illustrate the consequences of sexual crimes on offender, victim and the offender’s family was examined in this study. The study examined whether exposure to these visual representations could result in a quantifiable decrease in supporting attitudes toward sexual crimes by comparing participants' pre-test and post-test attitudes using the Crime Pics II tool. There is little research on how visual cues can change offenders' attitudes and perceptions, despite the urgent need for creative evaluation techniques in this delicate field. This study adds to the continuing conversation on crime prevention and offender rehabilitation by demonstrating how well digital design can change perceptions of sexual crimes. A total of 61 male convicts of defilement and rape were purposively sampled for the study. The study utilized an art exhibition and Rapid Serial Visual Presentation format to repeatedly display digital paintings to participants aged 18-45. The artwork produced in both monochrome and polychrome schemes and in realist and surrealist styles was designed to elicit immediate emotional and cognitive responses. Qualitative and quantitative analyses of the participants' responses and reflections provided important insights into their attitudes, including sentiments of regret and guilt as well as a sophisticated awareness of the wider effects of their behaviour. Monochrome paintings tended to portray darker emotions, whereas polychrome paintings showed a wider range of emotions, including hope and recognition of the harm done. The findings demonstrate that digital design can effectively support offenders' emotional processing and self-reflection, demonstrating its potential as a helpful tool in rehabilitative and assessment contexts.

Digital therapeutics (DTx) play a transformative role in diabetes management by leveraging technology to provide personalized, data-driven medical interventions. These tools enhance self-management by offering continuous monitoring and real-time feedback on glucose levels, diet, and physical activity. This personalized approach helps patients adhere to treatment plans and make informed lifestyle changes, leading to improved clinical outcomes such as reduced HbA1c levels and better overall diabetes control. The importance of DTx lies in their ability to make diabetes care more accessible and convenient. Mobile apps and telemedicine platforms enable patients to receive support and guidance from anywhere, reducing the need for frequent in-person visits. Additionally, DTx often include behavioral support features like reminders, educational content, and motivational tools, which are crucial for maintaining healthy habits and managing stress. Currently, the dynamics of DTx in diabetes are rapidly evolving, with increasing integration of artificial intelligence and machine learning to further personalize and optimize care. As the adoption of these technologies grows, they hold the potential to significantly improve patient outcomes and revolutionize diabetes management on a global scale. This article will focus on the benefits of novel digital therapeutics for prevention and management of type II diabetes that are currently available in the market.

Making students efficiently and flexibly understand and master the knowledge of biological/biomedical sciences by prompting active learning and critical thinking and making biomedical science courses form an integrated system are critical for more successful and effective student education, future and career. However, the current biological/biomedical education system worldwide tends to produce graduates best suited for postdoctoral training, and academic careers, in highly specialized areas. Many institutions worldwide currently favor densely packed curricula with fast-paced instruction focused on detailed subject matter, with little room left for skill training in both active learning and critical thinking, creative problem solving, professional skills, putting what was learned into a larger context that creates meaning, and teaching students with different learning styles, despite their significance. In this article, we will discuss the current defects in biological/biomedical science education and the need to reform biomedical science teaching and education. We will also describe some suggestions and approaches to improve biological/biomedical science learning and education, including the establishment of a more effective learning/teaching repository.

The role and contribution of women in modern organisations have been phenomenal. However, societal norms and other patriarchal values continue to stifle the progress of women leaders. The study's overall purpose was to examine the leadership styles of female leaders in managing senior high schools in the Central Region of Ghana. The study adopted non-numerical data and used a purely qualitative research approach. A phenomenological design supported the study framework, and the required data was collected through interviews. The target population for the study were female headmistresses and assistant headmistresses in the various Senior High Schools in the Metropolis. The study involved all six female headmistresses and eight assistant headmistresses in the Metropolis. The participants were sampled using the census to meet the study objectives. The data were analysed thematically. The study revealed that married couples use the participatory leadership style, but those who are single use the assertive style. The study also concluded that women leaders who are single and are farther from 60 years old are more likely to have problems in the discharge of their duties as leaders since men, per societal influence, will always try to resist the control of women leaders. The Ghana education service should package special incentives for women who aspire to achieve the utmost leadership role of becoming heads of senior high schools. It will motivate the young women generation. It is also recommended that women in leadership positions in the Ghana Education Service are advised to learn by updating their skills and competencies to grow in confidence and share ideas with colleagues in the same field to adopt and adapt leadership styles that have worked in other institutions to handle institutional challenges.

The Adventures of Sasa and Esi is a dance theatre that takes its story reference from two short Ghanaian folktale stories the Adventures of Sasa and Esi, and the Witch of the Forest which were written by Martin Otchere Owusu and directed by Johnson Kwaku Edu and Latipher Amma Osei. The production was staged at the Amu Theatre of the Department of Theatre Arts, University of Education (UEW), Winneba from the 3^rd to the 6^th of November, 2016. Though the play was written for children it appeals to adults due to the lessons embedded in it. Both plays were adapted by the authors to include Ghanaian folk and popular contemporary choreographed dances and theatrical special effects make-up as key theatrical elements to drive the production and to project the element of spectacle. The style of presentation was naturalism and realism. The production also served as a learning platform for the cast and crew who were students in the Department of Theatre Arts, UEW as they participated in it. Through experimentation, experiences, and concept development, the directors’ style and professional background in technical theatre and creative dance heightened the element of naturalism and realism to underscore the theme of the play, understanding, and interpretation of the play.

The aim of the research was to examine the influence of parenting styles on academic performance of students in Aowin Municipality in the Western North Region of Ghana. Descriptive survey design was employed to collect quantitative data from the respondents. The study targeted all final year public junior high school students in the Aowin Municipality. A multi-stage sampling technique which involved the use of probability sampling techniques was employed to select 252 respondents with 142 boys and 110 girls. The main data collection instrument was questionnaire with 46 items. Document analysis was also performed on the pupils’ end of term examination results. Means, standard deviation, multiple regression, Pearson’s Product Moment Correlation and Chi-square were employed to analyse the data. The results revealed that authoritative parenting style dominates in parents of the JHS students in the municipality. The study concluded that, Authoritative parenting style predominates in JHS students in the Aowin municipality. There was a correlation between the parenting style of parents and the academic performance of JHS students. It was seen that, student coming from the authoritative parenting style had high performance than those coming from the authoritarian, permissive and neglectful parenting style. Students from neglectful parenting homes demonstrated low performance in school. It is recommended that policies should be developed by Ministry of Education to encourage parents to adopt appropriate parenting styles like the authoritative parenting style which has been revealed by this study as related to good academic performance. Management of various schools should collaborate with Parent-Teacher Association to organize seminars and workshops to educate parents on the influences of the various parenting styles on their children academic performance. This will enlighten parents on employing effective parenting style like authoritative parenting style that has been revealed by this study to correlates with high academic performance.

Mashhad is one of the important metropolitans in the northeast of Iran with over 25 million tourists per year. After evaluating the physical space of Mashhad in terms of semantics and identity with the aim of promoting tourism, 127 valuable places with cultural, historical, and religious values were identified, assessed, and analyzed using a Geographic Information Systems (GIS). Therefore, the appropriate distribution of tourist routes for travelers to visit the city of Mashhad was done and 10 corridors and zones were selected. The basis of this choice was the existence of a valuable place at origin and destination of the routes and the existence of appropriate tourism, commercial, welfare and cultural infrastructure and ability to access various uses. Percentage and number of valuable places in each proposed route necessarily meant percentage of the total, excluding repetition in other routes.

This study is a literature review with a qualitative approach. It is justified by the significant increase in diseases acquired through lifestyle habits that generate health risks, which impair and are responsible for decreasing longevity and decreasing quality of life, such as hypertension, depression, obesity and respiratory tract diseases. Physical activity is recognized as a protective factor for health, and its benefits are associated with the reduction of chronic diseases and a decrease in the risk of premature death from diseases related to a sedentary lifestyle. The objective of this research is to search and identify, within the scientific literature, if there are in fact contributions from the practice of physical activity in subjects diagnosed with depression. For the categorization of studies and selection of materials, the following keywords were determined: physical exercise and depression and physical activity and depression. As inclusion criteria for data analysis and interpretation, the following were considered: articles in Portuguese, full texts, published in health journals, between the years 2005 to 2015. As exclusion criteria, we considered articles found by descriptors that did not contain one or more of the inclusion criteria. In this study, articles were selected by searching the Scientific Electronic Library Online (SciELO) and Lilacs. The choice of these databases was prioritized due to the quality and reliability of the materials available, and their easy access. 77 articles were found, of which 4 were selected to be part of this research. It can be noted that physical activity showed positive aspects and possible contributions and can be considered as a bias in an adjunct to conventional pharmacological treatments. The need for further clarification about the disease in relation to psychological, social and physiological issues is also evident, thus opening the possibility for further studies and research on the subject, so that in this way they can guide possible interventions that help in the treatment of the depression.

Objective: The study employed a quasi- experimental design of a single group pre-test post-test. The purpose of the study was to assess the locomotor and object control skill development levels of 6-8-year-old basic school pupils in Kwahu Afram Plains South district of Ghana The target population for the study comprised all 6-8 years old primary school pupils in Tease in Kwahu Afram Plains in the Eastern Region of Ghana. Convenient and stratified sampling techniques were used to select 57 pupils made up of thirty-seven (37) boys and twenty (20) girls. The instrument used for this study was Test of Gross Motor development (TGMD-2). Descriptive frequencies were used to analyse the data. The study revealed that pupils demonstrated high level of perfection with reference to their locomotor skills in the various physical activities with most responses on their skill execution mostly ranked between often and always. The study also indicated that pupils were able to perform locomotor skill activities well. The study also concluded that pupils were not really equipped with motor skill and were not able to execute motor skill activities correctly during physical activities with responses on motor skill mostly ranked between rarely and often. It is recommended that lower and upper primary school teachers in Kwahu Afram Plains South district should be equipped with the prerequisite skills to enable them to teach motor skills development effectively. It is also recommended that more qualified physical education personnel should be sent to the basic level in Kwahu Afram Plains South district to teach physical education since motor development and skill acquisition develop the habit of the active lifestyle of individuals.

The aims of this investigation will be to describe the language style based on Spider-Martin Man's Joos: far from home films and to identify the dominant language styles of the movie "Spider-Man: far from home." The analyzes are based on Martin Joo's theory's five types of linguistic style: frozen, formal, consultative, casual, and intimate. Qualitative research design was used in the research. Content or document analysis was used by researchers. The information is gathered by watching the film and the conversation containing the communication language is detected. Then classify according to the language styles found in the film and find the main kinds of language. The results of this research are as follows in the Spider-Man section: Far From the Home." These five language-style types are Frozen made up of two data (6,7%), formal three (10%), consultants of six data (20%), casual eleven (36,7%) and intimacy consisting of eight data. The following are the types of language-styles (26,6 percent). The Casual style is the most dominant type than other types from the result of the percentage. In last place, the style is frozen.

This research discusses language style at the movie script of Papillon. This research aims to classify the type of language style and the functions of the speakers’ utterances in using language style at the movie script of Papillon. The data source of this research was YouTube “Papillon” which was aired on September, 26^th 2018. This study utilized theories of Martin Joos' types of language styles and Roman Jakobson's function. Data from the Papillon Movie Script. Researchers have implemented qualitative research designs to answer the research question. The researchers used documentation as a tool for research. The researchers found 30 language-style data sets as a result of their investigation. The scientists discovered many linguistic styles. The styles are as follows: 1 data point or 3%, 6 data points or 20%, were discovered in frozen style; 11 data points or 37%, casual style 6 to 20, and intimate style 6 to 20 were found in consultancies. The following five roles were revealed in the language style: expressive, guiding, referential, metalinguistic and phasic. There were 6 data or 20 percent of expressive function; the directive works 3 or 10 percent, the reference function found 8 or 27%, the metalinguistic function discovered 7 or 23% and the phatic function discovered 6 data or 20%. No poetic function is available in the film.