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Refleksi pada Permukaan Hiperboloida Haripamyu Haripamyu; Citra N A Fariz; Zulakmal Zulakmal
Jurnal Matematika UNAND Vol 13, No 3 (2024)
Publisher : Departemen Matematika dan Sains Data FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmua.13.3.198-207.2024

Refleksi pada permukaan hiperboloida dikaji lebih lanjut mengenai langkah-langkah untuk mendapatkan formula refleksi suatu garis pada permukaan hiperboloida yang telah diteliti oleh Sarkar (1997) and Yanzhong (2010). Dilakukan penggambaran sederhana mengenai sinar datang, sinar pantul, dan bidang pantul untuk menemukan nilai dari titik pemetaan pada bidang insidensi di hiperboloida. Kemudian titik tersebut menjadi fokus dari translasi dan rotasi yang dilakukan untuk menemukan fase dari masing-masing sinar. Pada kasus ini, fase dianggap sama sehingga membentuk karakteristik dari sinar yang dipantulkan pada permukaan hiperboloida. Kajian ini mencakup teori garis singgung, transformasi, hiperbola, hiperboloida, refleksi dalam fisika, hukum fisika, dan sinar paraksial. Hasil formulasi yang diperoleh menunjukkan beberapa karakteristik dari refleksi yang dilakukan pada permukaan hiperboloida, yaitu sudut datang sama dengan sudut pantul, jari-jari sinar insidensi dan jari-jari sinar refleksi tidak berubah setelah direfleksikan, serta jari-jari kelengkungan dari bidang yang tegak lurus dengan arah rambatan dipengaruhi oleh sudut pantul γ dan konstanta hiperboloida.

Penerapan Model Contextual Teaching Learning pada Pembelajaran Literasi Numerasi di SMPS IT Karakter Anak Shalih Padang Haripamyu Haripamyu; Mawanda Almuhayar; Noverina Alfiany
Warta Pengabdian Andalas Vol 31 No 3 (2024)
Publisher : Lembaga Penelitian dan Pengabdian kepada Masyarakat (LPPM) Universitas Andalas

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jwa.31.3.575-582.2024

By current global needs, students are expected to be able to adapt to a rapidly changing world and participate actively in society. Students must become lifelong learners who need reading literacy and numeracy literacy competencies. Literacy Numeracy, often called numeracy, can be interpreted as the ability to apply mathematical concepts and skills to solve practical problems in everyday life. Starting in 2021, this ability will be measured through the Minimum Competency Assessment (AKM) aimed at classes V, VIII, and XI. The aim is to obtain information about the quality of a school so that it becomes a basis for improving the learning process in that school, especially concerning students' numeracy and literacy abilities. The problem faced by the Shalih Children's Character IT SMPS (KAS) is a lack of guidance on students' numeracy literacy skills needed to take AKM. Therefore, the Service Team from the Department of Mathematics and Data Science felt it necessary to carry out service at SMPS IT KAS as a continuation of the guidance that had been carried out in the previous year. The method used is to apply the Contextual Teaching Learning model, which helps teachers link learning material with real life and encourages students to connect their knowledge with application in everyday life. It is hoped that implementing this service can help teachers guide students in preparing for AKM in the following year.

Modeling of Human Development Index Using Bayesian Spatial Autoregressive Approach Yanuar, Ferra; Wulandari, Sintya; Asdi, Yudiantri; Zetra, Aidinil; Haripamyu
Science and Technology Indonesia Vol. 10 No. 1 (2025): January
Publisher : Research Center of Inorganic Materials and Coordination Complexes, FMIPA Universitas Sriwijaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26554/sti.2025.10.1.72-79

Spatial regression analysis is a technique employed to examine the relationship between independent and dependent variables in datasets that exhibit regional neighborhood influences or spatial effects. When a spatial effect exists for the independent variable, the Spatial Autoregressive (SAR) regression can be utilized. The Maximum Likelihood Estimation (MLE) is a commonly used parameter estimator for SAR. However, due to the limitations of MLE, the Bayesian method provides an alternative approach for parameter estimation. This study compares the results of SAR estimations using both MLE and Bayesian methods to determine the most accurate estimation model. Both methods were implemented in this research to model the factors affecting the Human Development Index (HDI) in East Java Province for the year 2022. The findings indicate that the Bayesian SAR offers a superior proposed model compared to the MLE SAR. The factors influencing the HDI in East Java Province in 2022 include poverty, per capita expenditure, and the presence of an upper middle-class manufacturing industry.

Refleksi pada Permukaan Hiperboloida Haripamyu, Haripamyu; Fariz, Citra N A; Zulakmal, Zulakmal
Jurnal Matematika UNAND Vol. 13 No. 3 (2024)
Publisher : Departemen Matematika dan Sains Data FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmua.13.3.198-207.2024

Refleksi pada permukaan hiperboloida dikaji lebih lanjut mengenai langkah-langkah untuk mendapatkan formula refleksi suatu garis pada permukaan hiperboloida yang telah diteliti oleh Sarkar (1997) and Yanzhong (2010). Dilakukan penggambaran sederhana mengenai sinar datang, sinar pantul, dan bidang pantul untuk menemukan nilai dari titik pemetaan pada bidang insidensi di hiperboloida. Kemudian titik tersebut menjadi fokus dari translasi dan rotasi yang dilakukan untuk menemukan fase dari masing-masing sinar. Pada kasus ini, fase dianggap sama sehingga membentuk karakteristik dari sinar yang dipantulkan pada permukaan hiperboloida. Kajian ini mencakup teori garis singgung, transformasi, hiperbola, hiperboloida, refleksi dalam fisika, hukum fisika, dan sinar paraksial. Hasil formulasi yang diperoleh menunjukkan beberapa karakteristik dari refleksi yang dilakukan pada permukaan hiperboloida, yaitu sudut datang sama dengan sudut pantul, jari-jari sinar insidensi dan jari-jari sinar refleksi tidak berubah setelah direfleksikan, serta jari-jari kelengkungan dari bidang yang tegak lurus dengan arah rambatan dipengaruhi oleh sudut pantul Î³ dan konstanta hiperboloida.

FUZZY CALCULUS: A COMPREHENSIVE LITERATURE REVIEW Efendi; Admi Nazra; Mahdhivan Syafwan; Haripamyu
INTERNATIONAL JOURNAL OF MULTI SCIENCE Vol. 5 No. 02 (2025): INTERNATIONAL JOURNAL OF MULTISCIENCE - MAY -AUGUST 2025
Publisher : CV KULTURA DIGITAL MEDIA

Show Abstract | Download Original | Original Source | Check in Google Scholar

This report presents a literature review on Fuzzy Calculus, a field that emerged from the integration of classical calculus with fuzzy set theory. Classical calculus, although fundamental for modeling precise systems, has limitations in dealing with the uncertainty and ambiguity inherent in real-world phenomena. Fuzzy calculus extends the concepts of derivative and integral to the fuzzy domain, enabling modeling of dynamic systems involving uncertain variables. This report outlines the basic concepts, methodologies of fuzzy differentiation and integration, and highlights significant opportunities in dynamic systems modeling, optimization, control systems, artificial intelligence, and various cross-disciplinary case studies. In addition, theoretical and practical challenges including unique operation definitions, lack of standardization, result interpretation issues, and computational complexity are discussed. Finally, it presents future research directions of Fuzzy Calculus in the face of complexity and uncertainty in the modern world.

The Locating Chromatic Number of Zigzag Graph Z_n Sagita Putri, Vella; Des Welyyanti; Haripamyu
InPrime: Indonesian Journal of Pure and Applied Mathematics Vol. 7 No. 2 (2025)
Publisher : Department of Mathematics, Faculty of Sciences and Technology, UIN Syarif Hidayatullah

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15408/99cs0080

The locating chromatic number is a concept developed from vertex coloring and the partition dimension of a graph, first studied by Chartrand et al. (2002). A connected graph G is said to have a locating coloring when each vertex is assigned a color such that the resulting color code defined by its distances to every color class is unique. The minimum number of colors that satisfies this condition is known as the locating chromatic number, denoted by χ_L (G). This study investigates the value of χ_L for the zigzag graph Z_n with n≥3. Although colorings have been studied for various families of graphs, no explicit characterization of zigzag graphs has been established. Our analysis shows that Z_3 has a locating chromatic number of 3, while for all n≥4, the value increases to 4. These results provide the first complete characterization of locating colorings on zigzag graphs and contribute to the broader study of location-based parameters in graphs with structured topology.Keywords: Locating chromatic number; Zigzag graph; Color code. AbstrakBilangan kromatik lokasi merupakan konsep pengembangan dari pewarnaan titik dan dimensi partisi suatu graf yang pertama kali dikaji oleh Chartrand dkk (2002). Sebuah graf terhubung Gdikatakan memiliki pewarnaan lokasi apabila setiap titik diberi warna sedemikian rupa sehingga kode warna yang dibentuk berdasarkan jaraknya terhadap setiap kelas warna bersifat unik. Banyaknya warna minimum yang memenuhi kondisi tersebut disebut bilangan kromatik lokasi, dilambangkan dengan χ_L (G). Penelitian ini mengkaji nilai χ_L pada graf zig-zag Z_n untuk n≥3. Walaupun sejumlah keluarga graf telah diteliti sebelumnya dalam konteks pewarnaan lokasi, graf zig-zag belum pernah memperoleh karakterisasi yang jelas. Hasil analisis menunjukkan bahwa Z_3 memiliki bilangan kromatik lokasi adalah 3, sedangkan untuk semua n≥4, nilai tersebut menjadi 4. Temuan ini memberikan karakterisasi lengkap pertama untuk pewarnaan lokasi pada graf zig-zag dan memperkaya kajian mengenai parameter lokasi pada graf dengan struktur khusus.Kata Kunci: Bilangan kromatik lokasi; Graf zig-zag; Kode warna. 2020MSC: 05C12, 05C15.

The Locating Chromatic Number of Pentagonal Circular Ladder Graph PCLn Des Welyyanti; Wahyuni, Annisa; Haripamyu
InPrime: Indonesian Journal of Pure and Applied Mathematics Vol. 7 No. 2 (2025)
Publisher : Department of Mathematics, Faculty of Sciences and Technology, UIN Syarif Hidayatullah

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15408/tt7bzq90

Locating coloring is a type of vertex coloring applied to connected graphs, where each vertex is assigned a color such that adjacent vertices receive different colors. In this setting, each color corresponds to a color class, which consists of all vertices assigned that color. A central notion in locating coloring is the color code of a vertex, determined by its distances to each color class. A coloring is classified as a locating coloring when every vertex in the graph has a unique color code. The locating chromatic number of a graph is the minimum number of colors needed to achieve such a coloring. The Pentagonal Circular Ladder graph is a structure formed by combining a circular graph with pentagonal components. This article examines the locating chromatic number of the Pentagonal Circular Ladder graph and provides an analysis of the behavior of locating colorings within this graph family.Keywords: Locating chromatic number; Partition; Locating coloring; Color code; Pentagonal Circular Ladder Graph. AbstrakPewarnaan lokasi merupakan jenis pewarnaan titik yang diterapkan pada graf terhubung, di mana setiap titik diberi warna sehingga titik-titik yang bertetangga tidak memiliki warna yang sama. Dalam konteks ini, setiap warna membentuk sebuah kelas warna yang terdiri atas seluruh titik yang diberi warna tersebut. Salah satu konsep utama dalam pewarnaan lokasi adalah kode warna suatu titik, yang ditentukan berdasarkan jaraknya terhadap setiap kelas warna. Suatu pewarnaan disebut pewarnaan lokasi apabila setiap titik dalam graf memiliki kode warna yang berbeda. Bilangan kromatik lokasi dari suatu graf didefinisikan sebagai jumlah minimum warna yang diperlukan untuk menghasilkan pewarnaan semacam ini. Graf Pentagonal Circular Ladder merupakan struktur graf yang dibentuk melalui penggabungan graf lingkaran dengan komponen-komponen pentagonal. Artikel ini mengkaji bilangan kromatik lokasi dari graf Pentagonal Circular Ladder serta memberikan analisis mengenai perilaku pewarnaan lokasi pada keluarga graf tersebut.Kata Kunci: Bilangan kromatik lokasi; Partisi; Pewarnaan lokasi; Kode warna; Graf Pentagonal Circular Ladder. 2020MSC: 05C12, 05C15.

A KINEMATIC ANALYSIS OF MECHANUM WHEEL WITH THE TAYLOR SERIES APPROXIMATION AT DIFFERENT ORDERS: Kinematics Analysis Haripamyu, Haripamyu; Rahmatullah Siregar, Fauzi; Syafwan, Mahdhivan
Jurnal Matematika UNAND Vol. 15 No. 1 (2026)
Publisher : Departemen Matematika dan Sains Data FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmua.15.1.30-43.2026

The mecanum wheel is an essential component in omnidirectional robotic systems, enabling free movement in any direction without changing orientation. The complexity of its kinematics requires a mathematical model that is both accurate and efficient. This study analyzes the contact point velocity equations of a mecanum wheel by considering all velocity components, then simplifies them using first-, second-, and third-order Taylor series approximations. The model is numerically simulated for different numbers of rollers (N = 6, 8, 12) with predefined geometric and motion parameters. Simulation results show that the first-order approach produces relatively large errors, especially with fewer rollers. The second-order approach significantly reduces the Root Mean Square (RMS) error compared to the first order, while the third order provides no notable improvement over the second. Increasing the number of rollers also results in smoother and more accurate velocity curves. In conclusion, the second-order Taylor series approximation is sufficient to efficiently model mecanum wheel kinematics withhigh accuracy, making it suitable for mobile robot control applications.

Intuitionistic Fuzzy Differential Equations for Economic Cycles: Theory and Indonesian Applications Efendi, Efendi; Nazra, Admi; Haripamyu, Haripamyu; Syafwan, Mahdivan
Jurnal Orientasi Bisnis dan Entrepreneurship (JOBS) Vol 6 No 2 (2025): DECEMBER 2025
Publisher : Lembaga Penelitian Universitas YARSI

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33476/jobs.v6i2.5850

This paper reviews the literature at the intersection of Intuitionistic Fuzzy Differential Equations (IFDEs) and economic modeling, emphasizing their potential to explain economic cycle dynamics under uncertainty. The review identifies a clear research gap, as no existing studies explicitly apply IFDE-based models to economic cycles. To address this gap, the paper synthesizes two related research streams: the mathematical foundations of IFDEs and the application of Intuitionistic Fuzzy Sets (IFS) in economics and finance. The analysis shows that IFDEs extend conventional fuzzy and differential equation models by incorporating membership (µ), non-membership (ν), and hesitation (π) degrees, allowing uncertainty and behavioral ambiguity to be modeled endogenously. Based on this synthesis, a conceptual IFDE-based framework for economic cycle analysis is proposed. Simulation experiments using Indonesia’s macroeconomic data indicate that second-order IFDE models can detect expansion–contraction transition phases 20–30% earlier than classical models and uncover policy-induced uncertainty bands overlooked by standard approaches. These results suggest that IFDEs provide a valuable decision-support tool for policymakers in structurally volatile economies.

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