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This study examines the application of double integrals in calculating the volume of cylindrical concrete piles as a basis for estimating material requirements in building foundation structures. The volume calculation was carried out using a double-integral approach in polar coordinates for three pile segments with lengths of 4 m, 3.9 m, and 4 m, each having a diameter of 60 cm. The results were then validated using the standard geometric formula to ensure consistency and mathematical reliability. The obtained concrete volume was subsequently used to estimate material needs based on a 1:1.5:3 mix proportion consisting of cement, sand, and gravel. The findings indicate that double integrals can be effectively applied to generate accurate estimations of both volume and material requirements, supporting logistical planning in construction. This approach also highlights the strong connection between mathematical concepts—particularly multivariable calculus—and practical applications in civil engineering. Furthermore, the study emphasizes that double integrals may serve as a relevant alternative when structural modeling requires deeper analytical exploration or validation beyond conventional geometry. Therefore, the implementation of double integrals not only reinforces theoretical understanding but also enhances precision in evaluating structural components within building foundation planning.

Penelitian ini dilatarbelakangi oleh kecenderungan pemahaman misi gereja yang masih direduksi pada pewartaan Injil secara verbal dan aktivitas internal gereja, sehingga kurang memberi perhatian pada dimensi pendidikan iman dan transformasi sosial. Reduksi tersebut menyebabkan misi sering terlepas dari realitas ketidakadilan sosial dan proses pembentukan kesadaran kritis umat. Tujuan penelitian ini adalah mengkaji serta merumuskan kembali misi gereja sebagai proses pendidikan iman yang bersifat pembebasan, dialogis, dan kontekstual. Penelitian ini menggunakan pendekatan kualitatif dengan metode analisis teologis-kritis melalui integrasi kerangka teologi pembebasan dan pedagogi kritis sebagai lensa konseptual. Kebaruan penelitian ini terletak pada pemahaman misi gereja sebagai praksis pedagogis yang menyatukan refleksi teologis, pembentukan kesadaran kritis, dan keterlibatan sosial umat dalam satu kesatuan kerangka teologis yang utuh. Hasil penelitian menunjukkan bahwa misi sebagai pedagogi pembebasan berfungsi sebagai sarana pembentukan kesadaran iman, praksis pembebasan yang kontekstual, serta pendidikan transformasional dan dialogis. Dengan demikian, misi gereja dipahami sebagai proses pedagogis integral yang memampukan gereja berpartisipasi secara aktif dalam missio Dei melalui transformasi kehidupan sosial yang berkeadilan.

Rainfall plays a crucial role in determining flood risk, particularly in regions with high precipitation intensity and limited drainage capacity. Langkat Regency in North Sumatra is one of the areas frequently affected by seasonal flooding. This study aims to model the spatial distribution of rainfall and estimate the rainwater volume using the double integral approach as a basis for flood mitigation planning. Monthly rainfall data from various observation stations in 2024 were processed to obtain the average rainfall intensity, which was then converted into meters and multiplied by the total area of Langkat Regency to compute the rainwater volume. The results indicate that the total estimated rainwater volume throughout 2024 reached 16,409,819,800 m³, with peak precipitation occurring from September to November, contributing significantly to the increasing flood risk in low‐lying zones and riverine areas. These findings demonstrate that the use of double integrals is an effective quantitative method for predicting potential flood volume based on rainfall distribution. The outcomes of this study are expected to serve as a scientific reference for local governments in developing data-driven flood mitigation strategies, such as improving drainage capacity, constructing retention basins, and strengthening watershed management.

This study aims to determine the ideal stocking density of catfish using the triple integral method. This mathematical method is applied to accurately calculate the volume of the cultivation pond and analyze the stocking amount and biomass projection at three different density levels, namely 50, 75, and 100 fish/m³. The calculation of the volume of the pond measuring 27 m x 11 m x 1.5 m produces a value of 445.5 m³. Based on the integral calculation, the optimal stocking amount is 22,275 fish, 33,413 fish, and 44,550 fish for each density, with the final biomass projection reaching 300.7 kg, 451.1 kg, and 600.4 kg, respectively. The analysis shows that the density of 100 fish/m³ produces the highest biomass, but its application must consider technical factors such as water quality, oxygen availability, and food competition. This method provides a solid and practical mathematical foundation for more efficient, scalable, and sustainable aquaculture planning.

Tebing Tinggi City, which has a strategic position in North Sumatra, is experiencing changes in population growth that need to be predicted for development planning purposes. The purpose of this study is to forecast the population of Tebing Tinggi City in 2030 by applying the Double Integral method, and visualize the results in 3D using GeoGebra. The method used is a quantitative approach with a case study, where the population density function is created based on secondary data from the Central Statistics Agency (BPS) of Tebing Tinggi City for the period 2010 to 2024. Data on area and population per sub-district are used to develop a population growth model calculated using the double integral. The forecast results show that the population of Tebing Tinggi City is estimated to reach 26,038 people in 2030, with varying growth rates in each sub-district. 3D visualization through GeoGebra is able to depict the distribution of population density in an interactive geometric form, thus facilitating the understanding of complex mathematical concepts. The conclusion of this study is that double integrals can be applied effectively to predict population size, and GeoGebra serves as a very useful visual aid in presenting the results of multivariable calculus analysis.

The Indonesian Solidarity Party (PSI) distinguishes itself as the sole political party actively promoting its platform through mainstream media. Social media has become integral to political campaigns in Indonesia, with PSI leveraging these platforms more effectively than its contemporaries since its establishment in 2014. PSI sought to position politics as an engaging activity for diverse audiences and to reduce political apathy among young people. The research method used by the researcher was a qualitative descriptive-analytical approach, utilizing the theory of Harold D. Laswell's concepts of new media and political communication (propaganda). Thus, the results of the research that has been conducted, it can be concluded that, (1) PSI is able to establish itself as a party that is closely related to young people and digital; (2) Instagram is PSI's main platform that focuses on attracting the sympathy of young people, becoming the most effective platform in conveying political messages visually and audio-visually, (3) In the elections for the Indonesian House of Representatives and the Jakarta Province DPR D, PSI obtained an increase in votes compared to the 2019 Election, (4) PSI's political communication has characteristics that prioritize party communication with a youthful style and the capacity of figures.

The ecological crisis affecting Central Kalimantan reveals systemic environmental degradation, ranging from deforestation and river pollution to peatland destruction caused by massive extractive activities. The impact of this crisis extends beyond ecological damage, disrupting the social, cultural, and spiritual order of the Dayak Indigenous communities. This article aims to reflect on Dayak communal spirituality as a path toward ecological conversion in the light of the encyclical Laudato Si’. Employing a qualitative approach through theological–contextual hermeneutics and library research, this study examines the dialogue between Dayak cosmology, communal life values, and the Catholic Church’s vision of integral ecology. The findings indicate that Dayak communal spirituality affirms a reciprocal relationship among humans, nature, the community, and the Creator, which resonates with the call for ecological conversion articulated in Laudato Si’. This article argues that integrating Dayak communal spirituality into the Church’s pastoral praxis holds transformative potential in fostering ecological awareness, strengthening the inculturation of faith, and encouraging the active participation of the faithful in caring for our common home in a sustainable manner.

Spirituality is a fundamental foundation of congregational faith life that directly influences character formation and daily behavior. However, social, cultural, and technological changes in the modern era have contributed to the weakening of congregational spirituality, including within the GKSI Sungai Maram congregation in Ketapang Regency, West Kalimantan. This condition is reflected in faith practices that tend to be routine and have not yet fostered holistic Christlike character. This community service program aimed to revitalize congregational spirituality as an effort to strengthen character formation and faith through a contextual and participatory approach. The program was implemented through pastoral mentoring, reflective group discussions, prayer fellowships, and community-based faith development activities involving church leaders and congregants. The implementation methods included initial observation of congregational conditions, interviews with church leaders and members, and community reflection as an evaluation tool. The results of the program indicate increased spiritual awareness among congregants, reflected in the strengthening of Christian character values such as love, integrity, responsibility, and social concern, as well as improved relational quality within the congregation. In addition, the program encouraged the establishment of sustainable shared spiritual practices as an integral part of church life. Therefore, contextual and sustainable spiritual revitalization through community service activities serves as an effective strategy for building a congregation that is mature in faith, strong in character, and socially impactful.

The evolution of modern civil procedural law demands dispute resolution mechanisms that are responsive, efficient, and substantively just. In this context, Alternative Dispute Resolution (ADR) particularly mediation and arbitration has transformed from a supplementary option into a central instrument within Indonesia’s dispute resolution architecture. This study aims to analyze the development of ADR from the perspective of modern civil procedural law, focusing on the normative status and practical efficiency of mediation and arbitration as pre-litigation mechanisms. The research employs a normative-juridical approach, analyzing primary legal sources (legislation, Supreme Court Regulations [PERMA], court decisions) and secondary sources (scholarly journals, books, policy documents). The findings indicate that mediation has been mandatorily integrated into civil procedure through PERMA No. 1 of 2016, functioning as a court-facilitated pre-litigation stage, while arbitration operates as a consensual out-of-court mechanism under Law No. 30 of 1999. Both mechanisms demonstrate clear efficiency in terms of time (resolution within weeks to months), cost (minimal to predictable), and the ability to preserve parties’ relationships through collaborative processes and procedural confidentiality. Nevertheless, implementation challenges remain, particularly concerning the availability of qualified mediators and public perception of ADR. The study concludes that ADR is no longer a marginal alternative but an integral pillar of modern civil justice, aligning with principles of procedural efficiency and substantive justice.

Physical fitness is a fundamental determinant of athletic performance and is strongly influenced by dietary intake and lifestyle behaviors. Adequate protein consumption is essential for muscle development and energy metabolism, whereas smoking has detrimental effects on lung function and aerobic capacity. This study aimed to explore the relationship between protein intake and smoking habits with physical fitness, measured by maximal oxygen uptake, among athletes of Persela Football Academy under-eighteen. A quantitative approach with a cross-sectional design was applied, involving adolescent male athletes. Protein intake was assessed using a semi-quantitative food frequency questionnaire, smoking habits were obtained through structured interviews, and maximal oxygen uptake was measured using the multistage fitness test. Findings revealed that the average daily protein intake of athletes was relatively high, while the mean maximal oxygen uptake score fell within the good category. Correlation analysis demonstrated a significant association between protein intake and aerobic fitness, as well as between smoking habits and aerobic fitness. The results indicate that lower protein intake and higher smoking frequency are linked to reduced physical fitness capacity. This study highlights the importance of nutritional interventions and healthy lifestyle promotion as integral components in the development of youth athletes to optimize performance and prevent decline in fitness.

In the context of modernity, characterized by secularization and existential anxiety, traditional models of Christian faith formation often appear disconnected from the lived reality of believers, particularly regarding the doctrines of salvation and eschatology. This study investigates the crucial role of the church in bridging this gap by developing a pedagogical approach that integrally links ecclesial education with eschatological hope. Employing a qualitative descriptive analysis method, this research examines theological literature, contemporary church documents, and case studies of Christian formation programs. The analysis reveals that a robust eschatological perspective oriented towards the hope of salvation, resurrection, and the renewal of all things is not merely a final chapter of doctrine but an essential, transformative framework for all faith education. It shapes Christian identity, ethics, and mission in the present. The study concludes that for faith formation to be salvific and relevant today, the church must intentionally reconfigure its educational praxis. This reconfiguration involves moving from a compartmentalized teaching of "last things" to fostering an eschatological imagination that informs discipleship, worship, and social engagement, thereby presenting salvation as a comprehensive hope actively shaping Christian life in the modern world.

This study explains the role of educator leaders in cultivating students' adab (moral discipline and etiquette) at two Cambodian Islamic boarding schools, Maahad Tahfiz Darul Ulum (MTDU) and Maahad Tahfiz Darul Hadith (MTDH), in a post-conflict Muslim-minority society. Drawing on classical Islamic theories of character formation, such as the works of Ibnu Miskawaih and Syed Muhammad Naquib Al-Attas, and underpinned by Hallinger's Instructional Leadership Model, this research explores the manner in which leaders act as moral role models and institutionalists in order to transform pupil behavior. In undertaking a qualitative multiple-case study, data were obtained through semi-structured interviews and non-participant observation of eight influential educational leaders. Thematic analysis yielded six prominent leadership roles, including moral modeling, disciplinary enforcement, spiritual mentorship, and institutional innovation through routines and rituals. Despite parental and external cultural pressure oppositional to their endeavor, the leaders demonstrated spiritual resilience in successfully ushering student transformation through relational engagement, moral accountability, and cultural reinforcement. This study contributes to the emerging debate on faith-based leadership and character education with the offer of a contextualized model of Islamic educational leadership for post-conflict and minority-Muslim settings. Practice and policy recommendations include training educational leaders as muaddibin, integrating value-based norms, and recognizing Tahfiz schools as important actors in integral education.

In today's digital era, recommendation systems have become an integral part of supporting consumer purchasing decisions, including in the food and beverage industry. This study aims to develop a product recommendation system for snacks and beverages using the item-based collaborative filtering method. This method was chosen due to its ability to handle large-scale user and product data, as well as its efficiency in providing relevant recommendations based on user consumption patterns. In this study, the system calculates the average user rating and implements   Cosine Similarity to measure the similarity between products, resulting in more accurate recommendations. The system also evaluates the accuracy of recommendations using the Mean Absolute Error (MAE) metric. Based on the results obtained, which is 0.285403 for the average error on 17 items, the developed recommendation system can improve consumers' shopping experience, help them find products that suit their tastes, and support the sales of snacks and beverages products in the market

The banking sector is a strategic pillar that supports national economic stability and relies heavily on public trust. To maintain this legitimacy, banks are required to implement Corporate Social Responsibility (CSR), which is not only a moral obligation but also a legal duty as regulated in several laws such as Law No. 40 of 2007 on Limited Liability Companies and Law No. 21 of 2011 on the Financial Services Authority (OJK). This study aims to analyze the responsibility of OJK in managing Corporate Social Responsibility (CSR) funds based on the principles of Good Governance and to examine the role of banking institutions in maintaining public trust through transparent and accountable Corporate Social Responsibility (CSR) practices. This research employs a normative juridical approach by reviewing relevant legislation, literature, and regulatory documents. The results show that OJK holds normative, institutional, and legal responsibilities in supervising Corporate Social Responsibility (CSR) implementation to ensure compliance with the principles of transparency, accountability, independence, responsibility, and fairness. Meanwhile, banking institutions play a crucial role in ensuring that Corporate Social Responsibility (CSR) becomes an integral part of their sustainability strategy rather than a mere administrative formality. The application of Good Corporate Governance (GCG) has a positive impact on increasing public trust, as transparency and accountability in Corporate Social Responsibility (CSR) management strengthen the social legitimacy of banking institutions. Therefore, synergy between OJK and the banking sector in enhancing Corporate Social Responsibility (CSR) governance is the key to achieving an ethical and sustainable financial system.

Social media has become an integral part of adolescent life, including that of junior high school students. While it offers benefits in terms of communication and access to information, social media also brings negative impacts on students’ ethical development, such as impolite behavior, the spread of hoaxes, and cyberbullying. This study aims to describe the strategies implemented by SMP Negeri 05 Kota Bengkulu in addressing the negative effects of social media on student ethics. The research employed a descriptive qualitative method with data collected through interviews, observations, and documentation. The findings reveal that the school implements five main strategies: (1) internal policies such as prohibiting the use of mobile phones during class hours, (2) integration of character education into the curriculum, (3) implementation of digital literacy programs, (4) collaboration with parents in monitoring social media use at home, and (5) positive utilization of social media for publishing student work and promoting digital ethics campaigns. These strategies have proven effective in shaping responsible digital behavior and reinforcing students’ ethical values. These findings align with previous studies that emphasize the importance of character education, digital literacy , and school–parent collaboration in fostering students’ digital ethics. Through an educational and preventive approach, school strategies can serve as an effective solution in addressing ethical challenges in the digital era.

One of Indonesia’s key strategies for generating foreign exchange is the development of Tourism Villages. A Tourism Village refers to a rural area that is utilized as a recreational destination due to its natural beauty, cultural uniqueness, and local attractions that appeal to tourists. The development of Tourism Villages inevitably involves the Village Government as the main authority in village administration. Tourism Village development is an integral part of community empowerment, as it encourages local residents to actively participate in village development activities. Through effective empowerment programs, the Village Government can enhance community capacity, increase economic opportunities, and strengthen local potential in a sustainable manner. This study employs a qualitative research approach. The qualitative research process involves several important stages, including formulating research questions, applying appropriate research procedures, collecting specific data from participants, analyzing data inductively from particular themes to broader patterns, and interpreting the meaning of the findings. Using this approach, the study reveals that the role of the Village Government is crucial in planning, managing, and supporting Tourism Village development. Strong leadership, community involvement, and strategic empowerment initiatives are essential factors in ensuring the successful and sustainable development of Tourism Villages in Indonesia.

Pancasila, as the foundational ideology of Indonesia, plays a fundamental role in shaping a democratic system and ensuring the protection of human rights based on justice. From Yusril Ihza Mahendra’s perspective, Pancasila is not merely a normative ideology but serves as a political and legal paradigm that integrates the values of divinity, humanity, unity, democracy, and social justice into the practice of governance. According to Yusril, Indonesian democracy cannot be equated with Western liberalism, which emphasizes individual freedom; rather, it is a constitutional democracy grounded in the moral and spiritual foundations of Pancasila. The values of Pancasila position human rights in a balanced relationship between rights and responsibilities, as well as between individual and collective interests of the nation. Thus, democracy and human rights, in Yusril’s view, are integralistic—citizens’ freedoms are directed toward realizing social j  ustice and order in national life. This article aims to examine Yusril Ihza Mahendra’s thoughts on the relationship between Pancasila, democracy, and human rights, and their relevance within the context of Indonesia’s contemporary constitutional system.

This study aims to analyze Article 445 paragraph (1) of the Indonesian Criminal Code (KUHP) Number 1 of 2023, which regulates the criminal act of eloping with a young woman. The provision is considered to be in tension with the social and cultural realities of Indonesian society, particularly the people of Lombok who practice the merariq tradition. Merariq is an ancestral customary practice within marriage rituals involving the consensual elopement of the prospective bride as an integral part of the marriage process. This research uses Lawrence M. Friedman’s legal system theory, which examines three main components of law: (1) the substance of law—normative provisions contained in legislation; (2) the structure of law institutions and law enforcement agencies; and (3) the legal culture values, attitudes, and behavior of society toward law. This study is a normative legal research that treats law as norms, principles, doctrines, and rules. The primary legal material is Article 445 paragraph (1) of the Indonesian Criminal Code. The findings indicate that, from the perspective of legal substance, the article remains ambiguous. Its formulation potentially conflicts with Indonesia’s legal culture, which in practice prioritizes familial and traditional mechanisms for resolving private conflicts. Based on these findings, this study recommends a reformulation of the legal substance to make it more responsive to the socio-cultural context. The reformulation should be grounded in the principles of ultimum remedium and restorative justice, providing space for customary law and local culture as legitimate mechanisms to resolve private disputes. This approach is expected to reduce the disproportionate use of imprisonment and position criminal sanctions as a last resort in law enforcement.

The Hartley transform provides a real-valued alternative to the classical Fourier transform, offering structural advantages for the analysis of real-valued signals. This paper presents a systematic study of the continuous Hartley transform, including its definition, inversion formula, Plancherel identity, and core operational properties such as shifting, modulation, and convolution. The analytical framework is developed in parallel with the classical Fourier theory to highlight structural similarities and distinctions between the two transforms. Furthermore, we establish a Hartley-type Heisenberg uncertainty principle using two complementary approaches: a direct method based on intrinsic properties of the Hartley kernel, and a Fourier-based method that exploits the algebraic relationship between the Hartley and Fourier transforms. These results provide a unified and rigorous foundation for understanding uncertainty relations within real-valued transform frameworks, and they demonstrate the continued relevance of the Hartley transform in harmonic analysis, integral transforms, and modern signal processing.

This study aims to identify various aspects that pose obstacles or difficulties for students in learning Mechanics. This study uses a qualitative descriptive approach that focuses on describing the types of difficulties students encounter in solving mechanics problems. The research subjects were first-semester students of the Science Education Study Program at KH. Mukhtar Syafaat University (UIMSYA) Blokagung Banyuwangi who were taking Basic Physics courses on Mechanics material. Data collection was carried out through diagnostic tests and interviews with students. The instruments used were diagnostic tests and interview guidelines. The location of students' learning difficultdiies was analyzed based on the errors that appeared in the completion of the diagnostic test. The results showed that the main difficulty students had in learning mechanics was in mastering basic mathematical skills, particularly in differential and integral material. Therefore, lecturers or teachers need to design and develop more appropriate learning strategies so that students' problem-solving skills can improve.