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All Journal Desimal: Jurnal Matematika BAREKENG: Jurnal Ilmu Matematika dan Terapan Jurnal Ilmiah Pendidikan Matematika Al Qalasadi MANGGALI
Oktaviani, Dinni Rahma
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Computer Science & IT Control & Systems Engineering Economics, Econometrics & Finance Education Energy Engineering Environmental Science Mathematics Mechanical Engineering Physics Social Sciences Transportation

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THE COMPARISON OF EXTENDED AND ENSEMBLE KALMAN FILTERS IN MODELING ENVIRONMENTAL POLLUTION INFLUENCES ON ACUTE RESPIRATORY INFECTION DYNAMICS (ISPA) Norasia, Yolanda; Oktaviani, Dinni Rahma; Putri, Devi Marita
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 19 No 2 (2025): BAREKENG: Journal of Mathematics and Its Application
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/barekengvol19iss2pp987-998

Abstract

Acute Respiratory Infections (ISPA) are a significant health issue. According to the World Health Organization (WHO), ISPA is the leading cause of death among children under five worldwide. ISPA can be caused by environments with high levels of air pollution, particularly in urban areas. Predicting the spread of ISPA is a crucial step in controlling the disease. Since pollution sources are diverse, modeling and prediction can be difficult, which makes advanced methods such as the Kalman Filter (KF) desirable. This study compares two estimation methods, the Extended Kalman Filter (EKF) and the Ensemble Kalman Filter (EnKF), in predicting the spread of ISPA triggered by environmental pollution. Simulation results show that both methods can produce accurate estimations, but EnKF demonstrates superior performance in terms of RMSE compared to EKF. It predicts more accurately for susceptible (X) and infected (Y) populations with EnKF than with EKF. Based on the results of the EnKF for the X and Y populations, the RMSEs are 0.0660 and 0.1114, respectively. EnKF's advantage in handling uncertainty and non-linearity in the model makes it suitable for predicting the spread of ISPA.
Application of intuitionistic fuzzy sets in determining the major in senior high school Oktaviani, Dinni Rahma; Habiburrohman, Muhammad; Amalina, Ijtihadi Kamilia
Desimal: Jurnal Matematika Vol. 5 No. 3 (2022): Desimal: Jurnal Matematika
Publisher : Universitas Islam Negeri Raden Intan Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24042/djm.v5i3.13018

Abstract

Intuitionistic Fuzzy Set (IFS) is useful to construct a model with elaborate uncertainty and ambiguity involved in decision-making. In this paper, the concept relation and operation of intuitionistic fuzzy set and the application in major of senior high school determination using the normalized Euclidean distance method will be reviewed. Some theorem of relation and operation of intuitionistic fuzzy set are proved. In general, to prove the theorem the definition and some basic relation and operation laws of IFS are needed. The distance measure between IFS indicates the difference in grade between the information carried by IFS. There are science, social, and language majors in senior high school. The normalized Euclidean distance method is used to measure the distance between each student and each major. The major, which each student can choose, has been determined depending on test evaluations. The solution provided is the smallest distance between each student and each major using the normalized Euclidean distance method.
ALTERNATIVE PROOF OF THE INFINITUDE PRIMES AND PRIME PROPERTIES Oktaviani, Dinni Rahma; Habiburrohman, Muhammad; Nugroho, Fiki Syaban
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 17 No 1 (2023): BAREKENG: Journal of Mathematics and Its Applications
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (338.764 KB) | DOI: 10.30598/barekengvol17iss1pp0475-0480

Abstract

Prime numbers is one of kind number that have many uses, one of which is cryptography. The uniqueness of prime numbers in their divisors and distributions causes prime numbers to be widely used in digital security systems. In number theory, one of famous theorem is Euclid theorem. Euclid theorem says about infinitely of prime numbers. Many alternative proof has been given by mathematician to find new theory or approximation of prime properties. The construction of proof give new idea about properties of prime number. So, in this study, we will give an alternative proof of Euclid theorem and investigate the properties of prime in distribution.
Meningkatkan Prestasi Olimpiade Sains Nasional (OSN), Kompetisi Sains Madrasah (KSM) 2022 Kota dan Kabupaten Semarang melalui Pembinaan Kepada Guru dan Siswa Habiburrohman, Muhammad; Oktaviani, Dinni Rahma; Tafrikan, Mohamad; Kurniawan, Prihadi
Manggali Vol 3 No 1 (2023): Manggali
Publisher : Lembaga Penelitian dan Pengabdian Masyarakat, Universitas Ivet

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31331/manggali.v3i1.2529

Abstract

OSN (Olimpiade Sains Nasional) merupakan ajang lomba/kompetisi yang diselenggarakan oleh Kementrian Pendidikan dan Kebudayaan, kemudian KSM (Kompetisi Sains Madrasah) merupakan ajang lomba/kompetisi yang diselenggarakan oleh Kementrian Agama. Kedua kegiatan ini merupakan kegiatan tahunan yang bertujuan untuk menumbuhkembangkan suasana kompetitif yang sehat di kalangan siswa SD/MI, SMP/MTs, dan SMA/MA serta meningkatkan wawasan pengetahuan, kemampuan, kreatifitas serta menanamkan sikap disiplin serta kerja keras untuk menguasai ilmu pengetahuaan dan teknologi. Sebagai dosen yang peduli dengan penyelenggaran program pendidikan di tingkat dasar, ketua maupun anggota menyelenggarakan kegiatan pengabdian yakni berupa pembimbingan berkala dengan tujuan; 1) meningkatkan kemampuan guru sebagai pembimbing pertama di masing-masing sekolah; 2) meningkatkan kemampuan siswa yang mewakili sekolah agar mendapatkan hasil yang lebih baik dari tahun sebelumnya.
Efektivitas Model Pembelajaran Examples Non Examples dengan Media Geogebra terhadap Kemampuan Pemahaman Konsep Matematika Siswa Demanda, Kelvin; Romadiastri, Yulia; Oktaviani, Dinni Rahma
Jurnal Ilmiah Pendidikan Matematika Al Qalasadi Vol 8 No 1 (2024): JURNAL ILMIAH PENDIDIKAN MATEMATIKA AL QALASADI
Publisher : Prodi Pendidikan Matematika, Fakultas Tarbiyah dan Ilmu Keguruan IAIN Langsa

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.32505/qalasadi.v8i1.7143

Abstract

This research aims to analyze the effectiveness of students' conceptual understanding abilities at SMPN 16 Semarang in spatial construction material by utilizing the example non-example learning model with GeoGebra media. This research uses an experimental design with a posttest-only control group and is a form of quantitative research. Class VIIIH was used as the experimental class, and class VIIIG was used as the control class. Samples were obtained using a cluster random sampling approach. Tests and documentation are used in research data collection procedures. The results showed that the average post-test score for experimental class students was while the average post-test score for control class students was From the t-test calculations, the values obtained are and with a sig value. 0.05. Students in the experimental class showed a better level of understanding of mathematical concepts than students in the control group; this can be seen from the findings, which show that tcount > ttable. Therefore, it can be concluded that the Example Non-example model, which utilizes geogebra media increases students' conceptual understanding of spatial construction material.
Co-Authors Amalina, Ijtihadi Kamilia Demanda, Kelvin Habiburrohman, Muhammad Kurniawan, Prihadi Norasia, Yolanda Nugroho, Fiki Syaban Putri, Devi Marita Tafrikan, Mohamad Yulia Romadiastri