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The idea of functions in mathematics and how they are used to build different mathematical models are methodically examined in this publication. Functions are basic mathematical constructs that show relationships between two or more variables in explicit equations, tables, or graphs. The fundamental building blocks of mathematics are functions, which enable the representation of variable interdependencies in a variety of formats, including formal mathematical expressions, data tables, and graphs. The classification of function types, such as linear, quadratic, and exponential, and their corresponding uses in the domains of physics, economics, and epidemiology are the main topics of this study, which takes a descriptive and exploratory approach.This article illustrates how knowledge of functions greatly aids processes through a review of the literature and an examination of secondary sources from current textbooks and academic publications. of judgment, forecasting, and analysis. In both academic and professional contexts, mathematical modeling based on functions has demonstrated efficacy in accurately and efficiently representing real-world occurrences. Thus, the significance of incorporating functional thinking into STEM education and multidisciplinary practice is emphasized in this essay.

The development of the palm oil industry in Indonesia typically relies on collaboration with smallholder farmers, but this collaboration often faces various problems such as poor cultivation techniques, lack of technical guidance, unclear administrative matters, and limited access to certification and markets. This study aims to develop a specific human resource management model to support collaboration with smallholder farmers, thereby improving production yields, sustainability, and engagement in the palm oil supply chain. The method used is a desk study, namely by analyzing and reconstructing information from research results, industry reports, and palm oil certification and sustainability policies. Based on the analysis, a career structure and Human Resource Management functions are proposed, consisting of collaboration supervisors, field officers, capacity training officers, collaboration administration staff, and collaboration/certification managers. This model allows for technical and administrative assistance, training for farmers, collaboration coordination, and certification and compliance management. The implementation of this model is predicted to improve cultivation quality, improve smallholder access to certification and markets, and strengthen the stability and sustainability of the supply chain. Thus, the HR model for smallholders offers a strategic solution to the various challenges of working with smallholders and supports the development of a socially, economically, and environmentally sustainable palm oil agribusiness sector.

Starfruit (Averrhoa bilimbi L.), commonly known in Indonesia as belimbing wuluh, is widely used as a natural acid in traditional cuisine. It is often processed into dried sour starfruit (asam sunti), which can last 1–1.5 years. However, traditional sun-drying methods are inefficient due to weather dependency, long processing times, and inconsistent product quality and color. This study aims to design and develop a tunnel-type starfruit dryer equipped with a blower system and heat control based on the Arduino Mega 2560. The research employs a quantitative method to evaluate tool performance. The dryer is cylindrical and supported by key components, including LPG gas as a heat source, a blower for air circulation, and a drum holder. Drying is conducted in six stages, each lasting 120 minutes, totaling 12 hours to achieve optimal dryness. Temperature monitoring at three points (T1, T2, T3) uses a MAX6675 sensor with a thermocouple connected to the Arduino Mega 2560, while weight measurement is done manually. Results indicate the tool functions effectively. A denser drying chamber and proper blower installation are recommended to ensure even heat distribution and improved drying efficiency for community use.

The development of the palm oil industry in Indonesia typically relies on collaboration with smallholder farmers, but this collaboration often faces various problems such as poor cultivation techniques, lack of technical guidance, unclear administrative matters, and limited access to certification and markets. This study aims to develop a specific human resource management model to support collaboration with smallholder farmers, thereby improving production yields, sustainability, and engagement in the palm oil supply chain. The method used is a desk study, namely by analyzing and reconstructing information from research results, industry reports, and palm oil certification and sustainability policies. Based on the analysis, a career structure and Human Resource Management functions are proposed, consisting of collaboration supervisors, field officers, capacity training officers, collaboration administration staff, and collaboration/certification managers. This model allows for technical and administrative assistance, training for farmers, collaboration coordination, and certification and compliance management. The implementation of this model is predicted to improve cultivation quality, improve smallholder access to certification and markets, and strengthen the stability and sustainability of the supply chain. Thus, the HR model for smallholders offers a strategic solution to the various challenges of working with smallholders and supports the development of a socially, economically, and environmentally sustainable palm oil agribusiness sector.

Administrative capacity has long been recognized as a fundamental determinant of governmental effectiveness, yet its role in executive service delivery, particularly in relation to government protocol functions, remains conceptually underdeveloped in public administration scholarship. Existing studies on administrative capacity predominantly focus on policy formulation, implementation, and citizen-facing service delivery, while research on executive governance and executive support systems often treats internal support functions in aggregate terms. As a result, the specific contribution of protocol functions—as administrative, symbolic, and coordinative mechanisms that sustain executive leadership—has been largely overlooked. Addressing this gap, this literature review examines how administrative capacity operates within executive service delivery, with a particular emphasis on government protocol functions as an integral component of executive support and governance coordination. The primary objective of this article is to synthesize and integrate dispersed theoretical and empirical insights to reconceptualize protocol functions within the broader framework of Administrative Capacity Theory. Employing a narrative–integrative literature review approach, the study systematically selected and analyzed peer-reviewed journal articles from major academic databases published within the last five years. The literature was examined through thematic analysis and conceptual synthesis, guided by Administrative Capacity Theory as the core framework and complemented by perspectives on executive service delivery, institutional capacity, street-level bureaucracy, public service professionalism, and governance coordination. The review identifies recurring patterns indicating that effective executive service delivery depends on the interaction of individual-level capacities (professional competence, discretion, and ethics), organizational-level capacities (structures, procedures, and coordination routines), and system-level capacities (institutional arrangements and governance mechanisms).

Consular services have become a critical site of state intervention in the governance of international labor migration, particularly for migrant-sending countries such as Indonesia whose citizens depend on overseas missions for administrative protection and access to public services abroad. Despite the growing importance of consular institutions in safeguarding migrant workers’ rights and welfare, existing scholarship remains fragmented, offering limited conceptual integration of how administrative capacity shapes institutional readiness in cross-border public service delivery. Addressing this gap, this article presents a structured narrative–integrative literature review that synthesizes international peer-reviewed studies on administrative capacity, policy capacity, consular services, and migrant worker protection published in the last five years. Drawing on Administrative Capacity Theory as the core framework, complemented by Public Service Theory, Policy Implementation Theory, Street-Level Bureaucracy, and Institutional Theory, the review systematically analyzes how different dimensions of capacity configure institutional readiness in consular services. The findings reveal that institutional readiness emerges from the interaction of four interrelated dimensions: human resource capacity, organizational and procedural capacity, institutional and coordination capacity, and resource and infrastructure capacity. Rather than functioning as isolated determinants, these dimensions collectively shape how consular institutions translate formal mandates into service outcomes under conditions of transnational governance, legal pluralism, and fluctuating demand. The review further demonstrates that frontline discretion, coordination gaps, procedural rigidity, and uneven resource allocation are recurrent patterns across the literature, underscoring the dynamic and practice-based nature of administrative capacity in consular contexts. Theoretically, this article contributes to public administration scholarship by extending administrative capacity frameworks into the underexplored domain of cross-border public services and by integrating previously segmented theoretical perspectives into a coherent conceptual synthesis. By reframing consular services as institutionally embedded public service systems rather than solely diplomatic functions, the article advances understanding of institutional readiness in migrant worker protection and provides a robust analytical foundation for future empirical and comparative research in international public administration.

Dementia is a progressive neurocognitive disorder often accompanied by behavioral and psychological symptoms such as agitation, anxiety, and depression. Pharmacological treatments provide only modest benefits while introducing significant risks, which highlights the need for safer, non-pharmacological alternatives. This literature review examines the role of virtual reality in dementia care, with a focus on its integration with therapies such as music, reminiscence, sensory stimulation, and cognitive training. Evidence from prior research suggests that virtual reality can enhance cognitive functions, reduce symptoms, and improve emotional well-being while also strengthening patient–caregiver interaction. However, challenges related to usability, accessibility, cost, and long-term effectiveness continue to limit adoption. Gaps in research, including limited cultural diversity, inconsistent reporting of intervention design, and a lack of large-scale longitudinal trials, emphasize the need for future work exploring cross-cultural feasibility and AI-driven personalization. Overall, virtual reality represents a promising and evolving non-pharmacological intervention that has the potential to transform dementia care by improving quality of life and reducing reliance on medication.

This study aims to analyze the actualization of Pancasila values in the Articles of Association and Bylaws (AD/ART) of the Dharma Wanita Persatuan (DWP) in Panggungrejo District, Blitar Regency. The study used a qualitative approach with a phenomenological design to understand the experiences and views of informants regarding the application of Pancasila values in organizational practice. Data were collected through structured interviews, field observations, organizational documentation, and validated using triangulation of sources, techniques, and time. The results show that material values are reflected in operational discipline, mutual cooperation, and transparency in resource management; vital values are manifested through the AD/ART as guidelines for work and the implementation of educational, social, and empowerment programs; while moral values are evident through communication ethics, the practice of deliberation and consensus, and strengthening solidarity among members. These findings confirm that the AD/ART functions as a connecting instrument that integrates material, vital, and moral values, thereby creating an organizational structure that aligns with Pancasila. This study has important implications for strengthening the character and ethics of organizations based on national values at the local level.

Advances in information technology have changed the way humans obtain and manage information, including in the world of education. School websites have become an important medium for conveying academic, administrative, and school activity information quickly and efficiently. However, not all educational institutions are able to optimize the functions of their websites. This study was conducted to determine user satisfaction with the website of SMP Negeri 5 Kota Jambi using the Webqual 4.0 model and Importance Performance Analysis (IPA). The research method used was a descriptive quantitative approach with data collection through the distribution of questionnaires to 291 respondents from a total population of 1,065 students. The analysis was conducted by measuring the three main dimensions of Webqual 4.0, namely usability quality, information quality, and service interaction quality, then using IPA to map service improvement priorities. The results showed that most users were satisfied with the quality of the website, particularly in  terms of ease of use and service interaction. However, the timeliness of information updates and the responsiveness of the display on mobile devices still needed improvement. Recommendations for improvement focused on the dimensions in the "Concentrate Here" quadrant of the IPA analysis.

Conflicts in transmigration areas are generally multidimensional and influenced by social, economic, land, and institutional factors. This study aims to identify the forms and distribution of conflicts in three districts of the transmigration area, namely Momi Waren District, Ransiki District, and Oransbari District, as well as to formulate a smart system-based conflict resolution approach through the use of spatial data, local institutions, and local wisdom-based settlement practices. Based on field mapping, four main categories of conflict were identified: 1) Land conflicts occur throughout the transmigration sites in the form of claims to transmigration land that has not been handed over to transmigrants because the compensation price is below normal. In addition, there is no ATR BPN office in South Manokwari Regency, one of whose functions is community empowerment and conflict resolution. 2) Economic conflicts occur because transmigrants are registered and recorded in the population registry, making it easy for them to access capital. Several economic activities in agriculture and transportation services are dominated by transmigrants, causing economic jealousy. 3) Social conflicts occur when the distribution of social assistance is uneven and the excessive use of illegally sold alcoholic beverages causes social unrest. 4) Institutional conflicts occur when civil servants, police, and military personnel are recruited, and not all indigenous Papuans who are nominated can be accommodated, requiring the involvement of tribal councils to formulate recommendations for recruitment that prioritize indigenous Papuans. The root causes of the conflict were analyzed using a root cause analysis approach that covered unclear land boundaries, unequal economic access, weak coordination between institutions, and low social trust due to differences in interests between groups. This study utilizes best practices from the Tribal Council, the South Manokwari Regency Transmigration and Manpower Office, the Religious Harmony Forum, and the Social Services Office as the basis for developing smart maps for an early warning system for conflicts. The results of the study formulate a Smart Conflict Resolution System framework consisting of three main components: (1) participatory spatial mapping of conflicts and key actors, (2) integration of institutional databases and social-customary mediation channels, and (3) design of smart maps as a mitigation and decision-making tool in transmigration areas. This system is expected to strengthen collaborative governance, prevent conflict escalation, and realize inclusive and sustainable management of transmigration areas

This study is motivated by the increasing complexity of financing coordination between the National Health Insurance (BPJS Kesehatan) and supplementary health insurance providers under the Coordination of Benefits (KAPJ) scheme, which creates potential claim disputes and administrative risks for hospitals. Although Minister of Health Decree No. HK.01.07/MENKES/1117/2025 regulates payment allocation and membership verification mechanisms, it does not explicitly recognize pre-admission confirmation as a preventive legal protection instrument. This research aims to analyze the normative position of pre-admission confirmation within the KAPJ framework, conceptualize it as a preventive legal protection mechanism, and formulate a proportional implementation model. The study employs a normative juridical method using statutory and conceptual approaches through literature review of relevant regulations and scholarly works. The findings indicate that pre-admission confirmation possesses implicit normative legitimacy through membership verification obligations and system integration requirements, and functions as a risk allocation mechanism that clarifies payment responsibilities prior to service delivery. Its implementation enhances legal certainty, reduces fraud potential, and minimizes claim disputes, provided that access to emergency medical services remains guaranteed.

Paaloka is a religious–cultural practice of the indigenous community of Detunggali Lewumbangga Village that functions as a medium for maintaining relationships with ancestors as well as a means of fostering social solidarity. This study aims to analyze the religious meaning of Paaloka and its relevance from the perspective of Catholic faith and within the local social context. The research employs a descriptive qualitative method, with data collected through observation and in-depth interviews with traditional leaders, church leaders, and community members. Data analysis was conducted through processes of reduction, categorization, and thematic interpretation. The findings indicate that Paaloka embodies religious values such as expressions of gratitude, petitions for blessings, and respect for ancestors, and serves to strengthen communal identity and social cohesion. From a theological perspective, Paaloka can be understood as a space for the inculturation of Catholic faith insofar as it is interpreted as an expression of prayer and lived faith in God without negating the teachings of the Church. This study underscores the importance of dialogue between faith and culture in the development of contextual pastoral practice.

PT. XYZ is one of the largest retail companies in Indonesia. PT. XYZ has a website-based application that functions to help employees who work in IT Support to handle operational problems. However, this website has not implemented a session management system which can affect the level of security. Therefore, a system design was created for real-time session management using Firestore, Python, and Javascript. Firestore is used as a database to store sessions and Firestore has a feature called the Firestore snapshot listener which functions to detect changes in real-time. The research method includes identifying needs, initial prototype design, prototype creation, prototype evaluation, prototype refinement, and system implementation. Black Box Testing is used as a method for testing this system, where the results are in accordance with the needs and interviews are conducted with the admin of this website to test the session management system and find out the admin's response regarding the designed session management system. The results obtained are satisfactory because security can be further improved, user experience is improved, and the company's needs can be achieved.

This research aims to develop a customized chatbot based on a local large language model (LLM) using Ollama Anything as a form of psychosocial support for Pencak Silat athletes. Mental toughness is a critical factor for Pencak Silat athletes, particularly when coping with competitive failure or sports-related injuries. Injuries sustained in Pencak Silat competitions often involve psychological consequences, including trauma, fear, anxiety, and disturbances in self-identity. To address these challenges, the proposed chatbot functions as a screen-integrated psychosocial support system for athletes. This research used an experimental method combined with Natural Language Processing (NLP) techniques was employed to construct a digital twin chatbot capable of simulating athlete-centered conversations. The Pencak Silat Athlete Chatbot is designed to assist athletes by providing responsive support when they experience defeat or performance setbacks during competitions. The research findings indicate that, although the chatbot is functional, its conversational responses remain relatively rigid, access times are prolonged, and further testing with Pencak Silat athletes in controlled settings is required. Overall, the development of the Pencak Silat Athlete Digital Twin Chatbot represents an ongoing effort to advance digital innovation and strengthen the ecosystem of sports achivements development in Indonesia.

This study aims to describe the internal structure and syntactic functions of noun phrases in online news articles about demonstration actions published by Detik.com in August 2025. This research employs a qualitative descriptive approach, with observation and note-taking. Data were obtained from five news articles discussing demonstrations, then analyzed to identify the core elements (head) and modifiers, and to determine the syntactic functions of the phrases within sentences. The analysis results show that the most frequently encountered noun phrase pattern is Noun + Noun (N + N), with modifiers on the right that provide explanations of identity, location, or ownership. The most common syntactic function found is as the subject, followed by the object and adverbial of place. These findings confirm that noun phrases play an important role in explaining information and sentence structure in online news texts. Additionally, the use of noun phrases also reflects the media's language strategy in constructing social and political realities through concise, efficient, and information rich language.

This study aims to identify, analyze, and describe in depth the types of coordinating verbal phrases (FV) and subordinating verbal phrases (FV) contained in Detik.com news texts published in September 2025. Based on the fundamental role of language as a means of communication and social interaction (syntax), the object of research is focused on FV as a grammatical unit that has a verb core and functions as a predicate. This study uses a qualitative descriptive method with a syntactic theoretical approach. Data collection was carried out through the technique of listening and taking notes on Detik.com news texts, while data analysis was applied using the distribution method, where the determining tool comes from the linguistic elements themselves. The results of the study showed the discovery of a total of 13 verbal phrases divided into 3 coordinating FVs and 10 subordinating FVs (including the patterns Adv + V, V + Adv, V + Adj, and V + N). In detail, 3 coordinating FVs, 3 FVSs with Adv + V pattern, 2 FVSs with V + Adv pattern, 2 FVSs with V + Adj pattern, and 3 FVSs with V + N pattern were found. This finding emphasizes the importance of understanding phrase structure in maintaining clarity of meaning. This research is expected to improve readers' literacy understanding and serve as a scientific reference for similar linguistic studies.

This study aims to describe the structure, syntactic function, and semantic role of the nominal clause in JawaPos.com news texts published in August 2025. By using a descriptive qualitative approach, this study applied syntactic analysis to explore how the nominal clause operates within the linguistic and contextual framework of media discourse. Data were collected from online news articles and analyzed using Indonesian syntactic and semantic theory. The results show that nominal clauses play a crucial role in constructing discourse structure and meaning through their syntactic functions as subjects, objects, complements, and adverbs. In semantics, nominal clauses perform various roles, including as agents, objects, recipients, and markers of condition or location. The pattern of nominal clause use reflects the concise, efficient, and communicative nature of journalistic language. The correlation between syntactic function and semantic role shows a cohesive relationship that enhances clarity and accuracy in conveying information. This study contributes to the development of syntactic and media linguistic research and serves as a valuable reference for journalists and language educators in promoting effective and ethical language use in journalism.

This study aims to analyze and identify various types of phrases found in educational opinion texts published on the Pundi.or.id website, 2025 edition. The research is based on the importance of syntactic understanding, particularly the use of phrases, in constructing effective and meaningful sentence structures in opinion texts. A qualitative descriptive method was applied using the observation and note-taking technique. The data were collected by examining, recording, and classifying different types of phrases, including nominal, verbal, adjectival, numerical, and adverbial phrases. The findings reveal that each type of phrase functions differently in shaping sentence meaning and enhancing the clarity of the writer’s arguments. Nominal and verbal phrases were found to dominate the texts, indicating their significant role in presenting ideas and logical reasoning. This research contributes to the development of syntactic studies and provides practical benefits for teachers and students in learning Indonesian, especially in mastering sentence structure and improving opinion writing skills. Furthermore, the study serves as a reference for future linguistic research within the context of digital media and education.

The language used in online news is not only a tool for conveying information but also shapes perspectives that influence readers. One key element in this aspect is phrases. Phrases always appear in various types of text. A phrase is a grammatical unit consisting of two or more words that does not exceed the functional limit and fulfills one of the syntactic functions. Phrases are often found in a text within a sentence, one of which is on the online news page cnnindonesia.com. The type of phrase found in the news page is a verb phrase that functions to form a predicate, link ideas, and better explain the author's intent. The cnnindonesia.com page about Affan Kurniawan published in August 2025 was chosen because it shows a variety of verb phrases that are interesting to study. This study aims to describe the form of verb phrases found in the cnnindonesia.com news about Affan Kurniawan published in August 2025. This research can provide a clearer picture of verb phrases in journalistic texts. The research method used is a qualitative descriptive method. The results of this study describe verb phrases and their syntactic functions in a cnnindonesia.com news story about Affan Kurniawan published in August 2025. This research is useful theoretically and practically. Theoretically, this study enriches the syntactic study of verb phrases and their application in media texts. Practically, the results can serve as a reference for students, researchers, and journalists in using Indonesian effectively and according to the rules.

This study examines the relationship between Dayak cosmology and Christian spirituality through the inculturation of the Munjong tradition within Catholic Dayak Tobak communities in Dusun Batu Besi, Desa Sejotang, West Kalimantan. As a post-harvest thanksgiving ritual, Munjong embodies a symbolic framework reflecting the interconnectedness of humans, nature, ancestors, and Jebata within the Dayak worldview. The tradition functions not only as a religious expression but also as a means of preserving cultural identity and fostering social cohesion. Within a predominantly Catholic context, Munjong has undergone reinterpretation, aligning with Eucharistic spirituality as the Church’s central expression of gratitude. Using a descriptive-qualitative approach combined with symbolic interaction analysis, this study shows that the religious values embedded in Munjong, including: gratitude, petitions for protection, and veneration of ancestors as spiritual mediators, correspond with Catholic teachings on divine providence, the communion of saints, and the sacredness of creation. The local Church recognizes Munjong as a cultural practice suitable for inculturation, provided it aligns with Christian doctrine, thereby offering opportunities for contextual liturgy and catechesis. The findings suggest that Munjong can serve as a bridge between faith and local culture while simultaneously reinforcing cultural identity and deepening the spiritual life of the community. The result of this study contributes to the discourse on inculturation, contextual pastoral practice, and strategies for sustaining indigenous traditions amid social change.