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Solving the Fermi equation for Modeling Nuclear Decay: Approaches, Assumptions, and Limitations in the Context of the Thomas-Dirac Distribution Siagian, Ruben Cornelius; Nasution, Budiman; Jubaidah, Jubaidah
Jurnal IPTEK Vol 27, No 2 (2023)
Publisher : LPPM Institut Teknologi Adhi Tama Surabaya (ITATS)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31284/j.iptek.2023.v27i2.4424

Abstract

This study explores a sophisticated probabilistic model for radioactive decay, emphasizing decay probability in small time intervals. Equation (1), with decay constant and time interval (dt), is central. Integration yields Equations (2), (3), and (4), describing total decay (N) over larger intervals (T). The Poisson distribution links to Equation (5), depicting decay events with average rate. In radioactive decay, the binomial distribution is relevant for independent nuclei (R). Equations (7) and (8) outline the probability of observing (N) decays, utilizing the binomial distribution and coefficient. Equation (9) simplifies via the Poisson distribution and factorial (n), notably eliminating (R-N). This reveals the efficiency of representing binomial distribution properties. The study extends to analyzing radiotracers in nuclear medicine through visualized data, revealing properties like half-life and decay constants on graphs. Graphical analysis identifies time's role in deviation from true values, offering insights into radiotracer reliability. This amalgamation of probabilistic methods and radiotracer analysis significantly contributes to understanding and applying radioactive decay concepts in diverse scientific and medical contexts.
A Monte Carlo Density Distribution Model Study to Analyze Galaxy Structure, Mass Distribution, and Dark Matter Phenomena Nasution, Budiman; Siagian , Ruben Cornelius; Ritonga, Winsyahputra; Alfaris, Lulut; Muhammad, Aldi Cahya; Nurahman, Arip
Indonesian Review of Physics Vol. 6 No. 1 (2023)
Publisher : Universitas Ahmad Dahlan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.12928/irip.v6i1.8240

Abstract

This research uses the Monte Carlo density distribution model to study the structure and mass distribution of galaxies and the dark matter phenomenon. Through computer simulations, the research developed a mathematical model with parameters such as rho0, rc, beta, and others, to describe the structure and mass distribution of galaxies. The results show that the model can reproduce various galaxy structures, including groups, clusters and filaments, and influence the behavior and characteristics of individual galaxies. This research provides a deeper understanding of dark matter and its impact on the evolution of the universe. It has implications for improving our understanding of dark matter and the use of Monte Carlo density distribution models to study galaxies. This study provides new insights into the evolution of galaxies and their relationship with dark matter in cosmology. Using both physics and mathematical concepts, this research helps to understand the phenomenon of dark matter and the structure of galaxies, and provides a basis for further research on dark matter and galaxy evolution.
Exploring Cosmological Dynamics: From FLRW Universe to Cosmic Microwave Background Fluctuations Nasution, Budiman; Ritonga, Winsyahputra; Siagian, Ruben Cornelius; Harahap, Veryyon; Alfaris, Lulut; Muhammad, Aldi Cahya; Laeiq, Nazish
EKSAKTA: Berkala Ilmiah Bidang MIPA Vol. 24 No. 04 (2023): Eksakta : Berkala Ilmiah Bidang MIPA (E-ISSN : 2549-7464)
Publisher : Faculty of Mathematics and Natural Sciences (FMIPA), Universitas Negeri Padang, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24036/eksakta/vol23-iss04/427

Abstract

This study explores key aspects of cosmology, starting with the foundational FLRW equations that describe the universe's evolution, emphasizing its homogeneity and isotropy. We incorporate mass viscosity into these equations, shedding light on its role in shaping the universe. Observations of Type Ia supernovae inform our understanding of cosmological parameters, including the Hubble rate and dark energy's effects on cosmic expansion. Cosmic Microwave Background fluctuations are analyzed for insights into cosmic structure. Baryon Acoustic Oscillations provide additional data for estimating critical parameters. We also examine the Hubble Parameter to understand its relation to cosmological parameters. Lastly, we introduce statefinder analysis, unveiling the universe's behavior through key indicators like "r" and "s." This study offers comprehensive insights into cosmology and the universe's evolution.
PENGEMBANGAN BAHAN AJAR BERBASIS VIDEO POWTOON PADA MATERI GELOMBANG BUNYI DI SMA KELAS XI Amelia, Mira; Nasution, Budiman
Jurnal Pendidikan Fisika Vol. 13 No. 2 (2024)
Publisher : Universitas Negeri Medan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24114/jpf.v13i2.60914

Abstract

Pemanfaatan media pembelajaran merupakan bagian penting dari perencanaan pembelajaran di kelas. Media pembelajaran yang mengikuti perkembangan teknologi diharapkan dapat mengatasi kebosanan siswa dalam proses pembelajaran, khususnya dalam mata pelajaran fisika. Penelitian ini bertujuan untuk mengetahui tingkat kelayakan, respon siswa terkait kepraktisan, serta keefektifan bahan ajar berbasis video Powtoon. Metode penelitian yang digunakan dalam penelitian ini ialah R&D (Research and Development) Borg and Gall Validasi oleh ahli media mendapat nilai 82%, dimana dikategorikan sebagai sangat layak, sementara validitas oleh ahli materi mencapai 97%, yang mengindikasikan kategori sangat layak. Hasil dari penilaian guru tentang bahan ajar berbasis Powtoon sebesar 81% termasuk kriteria praktis. Hasil respon siswa dari uji coba lingkup kecil terkait bahan ajar 82% dalam kriteria sangat praktis, uji coba skala besar mendapatkan nilai sebesar 81%, dan hasil uji coba lapangan menunjukkan nilai sebesar 81%, dengan kriteria praktis. Hasil dari tingkat keefektivitasan diukur dari skor pre-test sebelum menggunakan bahan ajar berbasis video Powtoon dan post-test sesudah menggunakannya. Hasil yang diperoleh hasil belajar siswa meningkat setelah menggunakan bahan ajar berbasis Powtoon.
NUMERICAL ANALYSIS OF CONCRETE-FLY ASH AND CONCRETE-OPC IN MULTI- STOREY BUILDINGS DURING EARTHQUAKES Nasution, Habibi Azka; Gea, Mitra Lestari; Nasution, Budiman
EINSTEIN (e-Journal) Vol. 13 No. 1 (2025): EINSTEIN (e-Journal)
Publisher : Universitas Negeri Medan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24114/eins.v13i1.48769

Abstract

OPC-concrete is the most commonly used type of concrete. The production of OPC produces CO2 emissions, which is one of the main causes of climate change and global warming. A recent innovation used as a high-strength concrete admixture is fly ash. Earthquakes pose a serious threat to the safety and stability of high-rise buildings. This study uses a finite difference method computational approach to analyze the seismic behavior of multi-storey buildings using fly ash concrete and opc concrete by utilizing data on stiffness, mass, damping, and earthquake acceleration. Based on the simulation results, the mode shape graphs of fly ash concrete and opc concrete are similar but the vibration frequencies of both are different, where the frequency of fly ash concrete is higher than the frequency of opc concrete. The displacements of the buildings with fly ash concrete and opc concrete still meet the applicable deviation allowance, where the maximum displacements of the buildings are 0.00308 m and 0.00342 m, respectively, while the maximum shear force of both buildings occurs on the first floor, which is 5967.59 N and 5104.78 N, respectively.
TOPOGRAPHIC MAPPING OF SLOPES IN LANDSLIDE PRONE AREAS USING THE SCHLUMBERGER CONFIGURATION GEOELECTRICS TECHNIQUE Situmorang, Howard; Nasution, Habibi Azka; Nasution, Budiman; Aningsih, Sri; Ummi, Shofia
EINSTEIN (e-Journal) Vol. 13 No. 1 (2025): EINSTEIN (e-Journal)
Publisher : Universitas Negeri Medan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24114/eins.v13i1.65332

Abstract

Landslides in Lembang in 2020-2021 were influenced by intense heavy rainfall. The surface contours in the village are generally in steep surface conditions with varying slope angles. The purpose of this study was to determine the surface contour in two dimensions by using the geoelectric method with Schlumberger configuration. The first stage was carried out by recording data on 5 tracks with 3 parallel tracks up to 75 , one track intersecting the other track area up to 60 and one track next to the landslide at 52.5 . The results showed that the resistivity of the rocks varied between 0.465-1952 . Interpretation of rock 0.465-21.5 as clay and sand, 22-146 as sandstone, dry gravel, 156-380 as andesite, basalt and 389-1952 as granite, diorite, limestone. The contrasting differences in the variation of the values on each track are known as slip planes. Slip planes have been found on 5 tracks with depths ranging from 6 to 12 m. The results of the 2-dimensional surface modelling that has been carried out show that the research area has the potential for landslides
Transformasi usaha tanaman hias aglonema dengan teknologi IoT: solusi penyiraman otomatis untuk meningkatkan produktivitas Nasution, Budiman; Sani, Ridwan Abdullah; Siregar, Alkhafi Maas; Nasution, Habibi Azka; Situmorang, Howard
SELAPARANG: Jurnal Pengabdian Masyarakat Berkemajuan Vol 9, No 5 (2025): September
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jpmb.v9i5.33387

Abstract

AbstrakUsaha tanaman hias Aglonema memiliki potensi ekonomi yang signifikan, namun sering terkendala oleh manajemen penyiraman yang tidak optimal, menyebabkan penurunan kualitas dan produktivitas. Penelitian pengabdian masyarakat ini bertujuan untuk mengoptimalkan produktivitas usaha Aglonema melalui implementasi sistem penyiram otomatis berbasis Internet of Things (IoT). Sistem ini dirancang untuk memantau kelembaban tanah secara real-time menggunakan sensor dan melakukan penyiraman otomatis berdasarkan ambang batas yang ditentukan, mengurangi intervensi manual dan potensi kesalahan manusia. Metode yang digunakan meliputi perancangan sistem perangkat keras dan perangkat lunak, instalasi di lokasi mitra usaha, serta pelatihan dan pendampingan. Hasil implementasi menunjukkan peningkatan efisiensi penyiraman, penghematan air, dan waktu kerja petani, serta peningkatan kualitas dan kuantitas produksi Aglonema. Diharapkan inovasi ini dapat menjadi solusi berkelanjutan untuk meningkatkan daya saing dan kesejahteraan pelaku usaha tanaman hias. Kata kunci: aglonema; Internet of Things (IoT); penyiram otomatis; produktivitas; pengabdian masyarakat. AbstractThe Aglonema ornamental plant business has significant economic potential, but is often constrained by non-optimal watering management, causing a decrease in quality and productivity. This community service research aims to optimise Aglonema business productivity through the implementation of an Internet of Things (IoT)-based automatic watering system. The system is designed to monitor soil moisture in real-time using sensors and perform automatic watering based on a defined threshold, reducing manual intervention and potential human error. The methods used include hardware and software system design, installation at business partner locations, and training and mentoring. The implementation results show an increase in watering efficiency, water savings, and farmer work time, as well as an increase in the quality and quantity of Aglonema production. It is hoped that this innovation can be a sustainable solution to improve the competitiveness and welfare of ornamental plant business actors. Keywords: aglonema; Internet of Things (IoT); automatic sprinklers; productivity; community service.
Analysis of Solar Flux and Sunspot Correlation Case Study: A Statistical Perspective Siagian, Ruben Cornelius; Alfaris, Lulut; Nasution, Budiman; Nasution, Habibi Azka
Kappa Journal Vol 7 No 1 (2023): April
Publisher : Universitas Hamzanwadi

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29408/kpj.v7i1.12238

Abstract

This analysis examines the relationship between the number of solar flares and the number of sunspots in 2005 using 11 observations in months 2 to 12. The number of solar currents measures the intensity of the radiation emitted by the Sun, while the number of sunspots measures the number of sunspots on the surface of the Sun. Multivariate linear regression analysis was used to analyze the relationship between Solar Current Rate and Number of Sunspots. The results of the analysis show that the coefficient of the Amount of Solar Current is 1.1239 with a significant t value of 2.510 (probability that there is no effect on the Number of Sunspots is 3.33%). The linear regression model has good results with an F-statistic value of 6.301 and a p-value of 0.0333, with an R-squared value of 0.4118 which indicates that 41.18% of the variation in the number of sunspots is influenced by variations in the amount of solar currents. The corrected R-squared value is 0.3464 indicating that there are still variations in the number of sunspots that cannot be explained by variations in the number of solar currents. ARIMA analysis results show an MA coefficient of 0.7351 with an average value of 45.9542 and a s.e value of 0.2590 and 6.1550 respectively. The AIC, AICc, and BIC values are 92.97, 96.4, and 94.16. The error results in the training set show that the ME value is 0.2615561, the RMSE value is 12.16969, the MAE value is 9.03306, the MPE value is -15.14689, the MAPE value is 30.42013, and the MASE value is 0.674109. The ACF1 value in the exercise set is 0.0808969.
Separation of Variables Method in Solving Partial Differential Equations and Investigating the Relationship between Gravitational Field Tensor and Energy-Momentum Tensor in Einstein's Theory of Gravity Siagian, Ruben Cornelius; Alfaris, Lulut; Nurahman, Arip; Muhammad, Aldi Cahya; Nyuswantoro, Ukta Indra; Nasution, Budiman
Kappa Journal Vol 7 No 2 (2023): Agustus
Publisher : Universitas Hamzanwadi

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29408/kpj.v7i2.20921

Abstract

This research delves into the study of partial differential equations (PDEs) and gravitational fields in spacetime. It focuses on solving PDEs using the Separation of Variables method and explores the relationship between the gravitational field tensor and the energy-momentum tensor, leading to the final equation for the gravitational field tensor. The research also investigates Einstein's theory of gravity and the energy-momentum tensor integral, providing the general solution for the gravitational potential and its implications. Additionally, the mean integration of the gravitational wave tensor is analyzed, yielding an expression for the tensor strain of gravitational waves over an infinitely long period. The components of the gravitational wave tensor and their effect on gravitational sources are examined. Furthermore, the propagation of electromagnetic fields in spacetime is studied using the Retarded Green's Function. The primary objectives of this research are to understand and explore mathematical techniques for solving PDEs and analyzing gravitational fields and their interactions in spacetime. The integration of multiple theoretical concepts related to PDEs, gravitational fields, and electromagnetic fields enhances our understanding of fundamental physics principles. This contributes to the advancement of theoretical physics and opens avenues for potential practical applications, such as gravitational wave detection and electromagnetic field propagation in complex media. In conclusion, this research provides valuable insights into fundamental physics principles and fosters a deeper understanding of their interconnections and implications
Pemahaman Guru IPA Terhadap Pengajaran Responsif Budaya pada Kurikulum Merdeka Belajar Abubakar; Tanjung, Yul Ifda; Sani, Ridwan Abdullah; Nasution, Budiman; Yohandri; Festiyed
Jurnal Penelitian Pendidikan IPA Vol 10 No 1 (2024): January
Publisher : Postgraduate, University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/jppipa.v10i1.4821

Abstract

This research aims to describe teachers' understanding of Culturally Responsive Teaching (CRT), difficulties to implement it, and its relation to higher order thinking skills through descriptive qualitative method using interview instrument. The research subjects were twenty science teachers from three senior high schools that have implemented Independent Learning Curriculum in Medan City and Deli Serdang Regency in North Sumatera. The results revealed that 70% of teachers have limited understanding and only 30% of the teachers who understand the concept of this learning correctly. The research results also showed that only 20% had ever implemented CRT in their classrooms and 80% had never implemented. This is all due to difficulties. Based on previous research, it shows that CRT make many positive contributions to learning processes and outcomes, improving the learning process and outcomes, improving higher order thinking skills and building student’s character. Therefore, teachers need to understand, be able to design and implement learning model based on CRT to serve diverse students.