Demand and supply are fundamental concepts in microeconomics that influence market decisions. This article aims to explore the application of mathematical models in explaining the interaction between demand and supply in the market for goods and services. Through an economic mathematics approach, we analyze the demand and supply functions, as well as the application of market equilibrium using calculus techniques and function analysis. The proposed mathematical model focuses on how price and quantity are determined in competitive markets, along with the impact of external factors such as consumer income, related goods prices, and production costs. This study also examines applications in economic policy-making to balance the market.

The Website-Based Marriage Status Change Recommendation Letter Information System is developed to simplify the process of creating recommendation letters for couples who wish to change their marital status with the relevant authorities. The primary goal of this application is to streamline a complex process, accelerate letter issuance, and make it easier for users to submit applications online. Key features include personal data entry, uploading supporting documents, and verification by authorized officers. With a web-based platform, this application can be accessed anytime and anywhere, reducing the need to visit government offices in person. The system is expected to make the administrative process related to marriage status changes more efficient and transparent.

This research was motivated by the discovery of several problems faced by students, namely poor interest in learning, such as the level of activeness of students during the learning process and low interest of students in SKI learning. Students felt that in this learning there was no passion or interest, as indicated by students being less active in the learning process and student involvement in the SKI learning process also decreased. With these conditions, students quickly get bored and are not interested in participating in learning. As a result, difficulties arise that affect the learning objectives to be achieved. This study aims to determine the relationship between learning strategies and learning media with interest in learning Islamic Cultural History class VIII at MTsN 1 Bukittinggi. The type of research used in this research is quantitative, correlational. The population is all class VIII students with a total of 347 students spread across 11 classes. The sample in this research used the Probability Sampling technique using Simple Random Sampling, and the total research sample was 78 students. Data was collected through questionnaires, observation and documentation analyzed using normality tests, linearity tests, multiple correlation analysis and hypothesis testing. Based on the results of the research that has been done, the results show that there is a relationship between learning strategies on student interest in learning in the subject of Islamic Culture History class VIII at MTsN 1 Bukittinggi City and the relationship between learning media on student interest in learning in the subject of Islamic Culture History class VIII at MTsN 1 Bukittinggi City, as evidenced by the results of the Pearson Product Moment correlation test on the relationship between learning strategies and interest in learning with a Pearson correlation value of 0.382 and a significant value of 0.001 <0.05. While the Pearson correlation test results on the relationship between learning media and interest in learning are 0.236 with a significant value of 0.038 <0.05. Furthermore, the results of the Pearson correlation test on the relationship between learning strategies and media with learning interest are <0.05, which is certainly valid and related. Based on this value, it can be seen that the relationship between learning strategies to interest in learning is interconnected and the relationship between learning media to interest in learning is interconnected, so Ha is accepted.

The “AntriSmecone” queuing system was implemented in the PPDB process at SMK Negeri 1 Purwokerto to improve efficiency by up to 70%. However, the system encountered several issues, such as race condition conflicts in queue numbers and code execution errors caused by automatic translation. This study employs the IT-IL V3 framework, focusing on the Service Operation domain to analyze IT service management, particularly in the subdomains of incident management and request fulfillment. The research methodology includes interviews, observations, questionnaire distribution, and literature studies. The analysis results indicate that the system's maturity level is at level 4 (Managed and Measurable), with an average score of 3.74. The system has structured and monitored procedures, allowing deviations to be effectively addressed. Recommendations were formulated to optimize incident management and fulfill user requests. This study contributes to the development of the “AntriSmecone” system to ensure service quality and efficiency in the PPDB process.

This study discusses the effectiveness of implementing administrative sanctions to overcome fraud practices by health facilities against National Health Insurance (JKN) participants in Indonesia. Fraud practices involving claim manipulation, bill inflation, and falsification of diagnoses result in losses for JKN participants and reduce the quality of health services. This study identifies challenges in supervision, regulatory weaknesses, and obstacles in law enforcement that affect the effectiveness of the administrative sanctions imposed. Based on the analysis, this study recommends regulatory reforms that include the implementation of stricter sanctions, strengthening supervision with information technology, and increasing outreach programs to raise awareness of the impacts of fraud. It is expected that with this reform, the JKN system can run more effectively and reduce fraud practices that are detrimental to all parties.

In everyday life, decision making is an unavoidable activity, both in personal, organizational and societal contexts. Each individual or group is often faced with various alternative choices, where each choice has certain consequences. In your career, decision making is very important. In making a decision there are definitely factors that influence it. In this research, the author used the Systematic Literature Review (SLR) method This research uses a Systematic Literature Review (SLR) approach with data sources originating from previous journal literature.  Data collection was carried out by documenting all articles and journals that were relevant to this research. From 20 similar articles, researchers took 10 articles to analyze and summarize. The results of this research show that the factors that influence career decision making are internal factors which include self-efficacy, motivation, interests, skills and personal perceptions, which are the psychological and emotional basis for individuals in determining their career direction, as well as external factors such as family support, the environment. Social, economic opportunities, capital, and market conditions play a significant role in providing resources and external incentives that support career decision making.

Climate change poses a significant global challenge requiring robust international legal frameworks to ensure effective mitigation and adaptation. This study examines the role of international law in implementing the Paris Agreement, focusing on the challenges and opportunities of its bottom-up approach to Nationally Determined Contributions (NDCs). Utilizing a meta-analytic methodology, the research synthesizes findings from 30 scholarly articles and policy documents to identify critical patterns and gaps. The findings reveal disparities between developed and developing nations in achieving NDC targets, driven by differences in financial and technological capacities. Developed nations exhibit higher success rates due to better infrastructure and funding, while developing nations struggle with significant barriers such as limited access to climate finance and bureaucratic inefficiencies. Additionally, the study underscores the importance of accountability and transparency mechanisms, such as the Enhanced Transparency Framework (ETF), in fostering international cooperation. The study recommends reforms in global climate finance, enhanced institutional capacity in developing countries, and stronger collaborations for technology transfer. By addressing these gaps, the Paris Agreement can serve as a more effective platform for global climate action. The findings contribute to the broader discourse on climate governance and provide actionable insights for policymakers and international stakeholders.

This research is motivated by several problems that the author found at SMP N 5 Bukittinggi, especially in Islamic religious education subjects in class IX where in learning, educators are still minimal in utilizing learning media, the learning media used still uses powerpoint media and lecture methods, so that in the learning process students feel bored, bored and not enthusiastic about learning. To attract students’ interest, teachers must be more creative in using learning media. This research aims to develop audio visual learning media using the Kinemaster application on the subject of the hajj and Umrah pilgrimages that is valid, practical and effective. This research is development research which has 4 stages, namely the definition stage, design stage, development stage, and dissemination stage. The results of this research are that audio visual learning media using the kinemaster application received a final validation score of 0.84 in the valid category, the practicality score obtained by the teacher was 95 in the very practical category, the practicalitu score by students was 86 obtained in the very practical category, and the effectiveness score was 0.74 obtained in the very practical category effective.

This study aims to determine the student’s perceptions about utilization of various type of learning media to engage students’ learning interest. Data collection using a survey with a population of all Mathematics Education and Biology Education students of the 2022 and 2023 intakes, with a sample size of 60 students using stratified random sampling. This survey is related to perceptions related to students learning interest based on based on various of media and students learning interest  from Mitchel (1993), consists of 15 items with 5 aspects such as attention, curiosity, excitement, meaningfulness, and involvement. The results showed that mostly students choose games media and games application, with 25 students (41,6%) gave highest score, mean that games media gave those students more attention because of the attraction in it, while another learning media  that showed less of interest, were picture with 2 students (3,3%), power point with 6 students (10%), and learning torso with 8 students (13,3%), because visual media not fully explaining the complex material.Another survey about learning interest showed that excitement aspect, game applications gave the highest score, which was 36.6%, chosen by 22 students, followed by game media chosen by 20 students (33.3%). In the meaningfulness and involvement aspects, the learning module gave the highest score, which was 13.3% (8 students) and 35% (21 students), this is because the learning module accommodates students' independent learning so that learning becomes more meaningful. So learning modules and games based media mostly can engage students’ learning interest in education department.

Graphene is a two-dimensional lattice made of a single carbon atom and has extraordinary mechanical, electrical and thermal properties. These properties make it a very important material for a variety of applications, including energy management and electronics. This research adopts a systematic literature review approach to evaluate the role of graphene in improving battery performance and environmental sustainability. The results show that graphene significantly improves the performance of lithium-ion and lithium-sulfur batteries as well as sodium and magnesium-based batteries. In addition, graphene also has great potential for environmental applications such as water purification and pollutant adsorption. However, challenges such as production costs, toxicity, and scalability still need to be overcome for wider adoption.