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.