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Journal : Journal of Mathematics UNP

Pemodelan Matematika Sweet Spot pada Bat dalam Permainan Baseball Rahman, Habby; Subhan, Muhammad
Journal of Mathematics UNP Vol 8, No 4 (2023): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24036/unpjomath.v8i4.14390

Abstract

This research will analyze the dynamics of the bat to determine a Sweet Spot. In this research, simplified geometry and abstract description of the bat shape were carried out and obtained the geometric equation of the bat. Then take the bat-ball system as the object of study. By using the Conservation of Momentum theorem, the theorem of Conservation of Angular Momentum and the recovery coefficient to build a dynamics model of a rigid body, then propose the Sweet Spot method and describe in determining the speed of the ball after the bat is hit. Starting from variations in the mass of the bat, center of gravity, and moment of inertia, it is concluded that the Sweet Spot will be in the long section above 0.564 m.
Model Matematika Rantai Makanan Mangsa-Pemangsa Tiga Spesies dengan Adanya Ketakutan pada Mangsa dan Predator Perantara Arsya, Nadila; Subhan, Muhammad
Journal of Mathematics UNP Vol 9, No 2 (2024): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24036/unpjomath.v9i2.15359

Abstract

A three-species prey-predator interaction is an interaction involving three species, namely the prey species, the intermediate predator and the top predator. The presence of predators can cause fear in their prey. This research aims to determine the local stability analysis of the mathematical model of the prey-prey food chain for three species in the presence of fear of intermediate prey and predators. This research is also equipped with numerical simulations that show the effects of fear on prey and intermediate predators. Based on the analysis that has been carried out, four fixed points have been obtained with their respective stability. Numerical simulations from the model show that when there is no fear of intermediate prey and predators, the population of each species shows irregular oscillations, whereas in the presence of fear of intermediate prey and predators the population stabilizes towards a fixed point . However, if the level of fear is too high for prey or intermediate predators, it will cause the population of top predators to become extinct.
Penentuan Akar Persamaan Non Linier Menggunakan Metode Iterasi Tiga Langkah Orde Delapan Efendi, Muchni Illahi; Subhan, Muhammad
Journal of Mathematics UNP Vol 8, No 4 (2023): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24036/unpjomath.v8i4.14999

Abstract

In determining the roots of non-linear equations can be solved analytically and numerically. Non-linear equations that are difficult to solve analytically can be solved by approaching them with numerical methods, namely the Newton method, the Ostrowski method, and the Bawazir method. However, this method is still slow in obtaining its roots because of its small convergence order. The Eighth Order Three-Step Iteration Method was formed because of the shortcomings of the existing 0methods. 0The purpose of 0this study is to examine the0 process of forming the formula of the Eighth Order Three-Step Iteration Method, develop the algorithm, and analyze the order of convergence. 0This type of research is basic research0. From the0 research results, the algorithm is used in computer programs. 0The convergence0 order 0of 0the Three-Step0Iteration0Method is eight, so this method is faster than Newton's Method, Ostrowski's Method, and Bawazir's Method.
Modifikasi Metode Fletcher-Reeves Untuk Penyelesaian Masalah Optimasi Tak Linier Tanpa Kendala Salmi, Fikri Miftahus; Subhan, Muhammad
Journal of Mathematics UNP Vol 9, No 1 (2024): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24036/unpjomath.v9i1.15086

Abstract

In nonlinear unconstrained optimization problems, methods involving the gradient of a function are used, allowing the function’s value to increase or decrease at the fastest rate. One of the gradient-based methods is the Conjugate Gradient method, which has been extensively modified, with one of the well-known variants being the Fletcher-Reeves method. However, in many cases, the application of these methods doesn’t always achieve the correct descent direction, affecting the speed and convergence of the method, so that modifications arise due to these deficiencies. The purpose of this study is to examine the process of forming the formula of a modified Fletcher-Reeves method, develop the algorithm, and analyze the global convergence. The results of numerical simulation tests show that by selecting the appropriate  value the modified Fletcher-Reeves method converges to the global minimum solution and can find it faster than the Fletcher-Reeves method.
Simulasi Monte Carlo dan Penerapannya dalam Menentukan Probabilitas Pergerakan Saham Indeks LQ-45 Anastasia, Vira; Subhan, Muhammad
Journal of Mathematics UNP Vol 7, No 4 (2022): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24036/unpjomath.v7i4.13769

Abstract

The problem for investors when investing is determine stocks that have the opportunity to move up that they get maximum profits in the future. The purpose of this study is to determine the opportunities for movement of the LQ-45 index stock. This study uses data on closing prices for daily stocks listed the LQ-45 index in the period February 2021-January 2022. To find out the opportunities for stock movements, a monte carlo simulation is used which based on the stock price movement model, the stock price movement model is influenced by the latest stock price and brown geometry motion 100 times and 10000 times simulation for 10 days of stock trading. Based on the results of the simulation analysis, the average share price was Rp. 916 - Rp. 23000, the value of forecasting accuracy namely very good forecasting accuracy with an average error of less than 10%. Companies that have increased opportunities for 10 trading days in February 2022 are CPIN.JK, INCO.JK, INKP.JK, and TBIG.JK.
Model Matematika Dinamika Sitokin dalam Sistem Respon Inflamasi Akibat Infeksi Penyakit Virus Zoonosis Sari, Novia Komala; Subhan, Muhammad
Journal of Mathematics UNP Vol 9, No 2 (2024): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24036/unpjomath.v9i2.13518

Abstract

Diseases that can be scientifically transmitted between animals and humans are zoonotic diseases. In zoonotic diseases, cytokines act as cell signalers in the body that are useful for understanding immunity to disease infections. This study is a basic or theoretical research by conducting a literature review to understand the interaction between inflammatory pro-response cytokines with inflammatory anti-response. In this study, we will discuss a mathematical model consisting of two simple components, namely pro-inflammatory and anti-inflammatory responses. The analysis used is fixed point analysis. The fixed point obtained is the root of the polynomial to the power of 7 so that the exact value of the fixed point cannot be determined. In finding the fixed point of the system of differential equations used Descartes' rule, so that a positive fixed point of 7, 5, 3 or 1 piece is obtained. We supplemented the results with numerical simulations.
Model Persediaan Fuzzy dengan Kredit Perdagangan dan Kendala Kapasitas Gudang untuk Barang yang Mengalami Deteriorasi Safitri, Addini; Subhan, Muhammad
Journal of Mathematics UNP Vol 9, No 1 (2024): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24036/unpjomath.v9i1.15653

Abstract

Economic Order Quantity (EOQ) model is a model for inventory management decision-making. The basic EOQ model is not entirely realistic, as it neglects several factors that impact inventory management decisions, leading to suboptimal outcomes. This study aims to form and analyze the inventory model from the development of EOQ model. Market competition, seasonal changes, promotional reach, and unexpected events can cause uncertainty. Fuzzy set theory is used to overcome this uncertainty, namely demand rate and deterioration rate are represented by fuzzy numbers. Trade credit and limited capacity of the company’s warehouse are also considered, so the rented warehouse is used. The fuzzy model is deffuzified by graded mean integration representation method. Results include a model for optimal order quantity, the optimal time for rented warehouse inventory depletion, and the minimum total cost. Numerical simulation and sensitivity analysis demonstrate the model’s applicability and highlight the impact of parameter changes.
Penentuan Kualitas Biji Kopi Pada Koperasi Solok Radjo Menggunakan Metode TOPSIS Fuzzy MADM Hurriyah, Salsa Sabitha; Subhan, Muhammad
Journal of Mathematics UNP Vol 8, No 4 (2023): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24036/unpjomath.v8i4.15000

Abstract

To determine the quality of coffee beans, expertis and accuracy are needed to make the right decision, so there are no mistakes in labeling the qualityof coffee beans which can cause losses. This research aims to assist in determining the quality of coffee beans using the TOPSIS Fuzzy MADM method with four criteria, namely: water content, defects, scent, and ground height of the coffee beans. Criteria assessments are determined subjectively and objectively. The weight values of the criteria are obtained subjectively based on expert opinions and objectively obtained using the TOPSIS method. The results of this research is preference value ranking of all alternatives. The results of the accuracy test comparing the analysis results from experts with the TOPSIS Fuzzy MADM method obtained an accuracy rate of 85%, classified as good criteria that can be used todetermine the quality of coffee beans precisely and well.
Metode Iterasi Orde Dua Trapesium untuk Menyelesaikan Persamaan Nonlinear Faliha, Hammi; Subhan, Muhammad
Journal of Mathematics UNP Vol 8, No 3 (2023): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24036/unpjomath.v8i3.15032

Abstract

Mathematical problems in determining the roots of nonlinear equations can be solved analytically and numerically. However, very complex nonlinear equations are difficult to solve analytically, so numerical methods are used. Trapezoid Second Order Iteration Method is a method that emerge because of the shortcomings of the Newton Raphson Method and The Secant Method. The purpose of this study is to examine the process of forming the formula for the Trapezoid Second Order Iteration Method, develop an algorithm and find its convergence. This type of research is basic research. The result of numerical simulation tests on several function whose approach point are at two peaks show that The Trapezoidal Second Order Iteration Method is faster than Newton Raphson Method.
Preferensi Mahasiswa FMIPA Dan FT UNP Terhadap Rumah Kos dengan Menggunakan Analisis Konjoin Dini, Rahmi; Subhan, Muhammad
Journal of Mathematics UNP Vol 9, No 1 (2024): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24036/unpjomath.v9i1.15163

Abstract

Out-of-town college students definitely need a place to live. Looking at the boarding house that will be lived in can help determine the right choice for students. This study aims to identify factors that influence student preferences in choosing boarding houses. This research is a survey research using primary data collected directly from students of the Faculty of Mathematics and Natural Sciences and the Faculty of Engineering, Padang State University using questionnaires. Data analysis techniques in this study use conjoint analysis techniques. The steps used are problem formulation, structuring stimuli, forming input data, selection of conjoint analysis procedures, interpretation of results.  Based on the data analysis that has been done, the preferred combination of students of the Faculty of Mathematics and Natural Sciences and the Faculty of Engineering, Padang State University in choosing a boarding house is a rental price of Rp. 250,000 – Rp. 550,000, with a distance of less than 1 km from the campus, there are cleaning managers and boarding house guards, boarding houses that have rooms with good air circulation, there are windows,  comfortableand clean. Has complete facilities, with 1 occupant per room.
Co-Authors A.A. Ketut Agung Cahyawan W Adi Pratama, Adi Afril Lestari, Windi Agustina Mutia Ahmad Bashawir Abdul Ghani Ahmad Bashawir Abdul Ghani Ahmad Bashawir, Ahmad Aisa, Aufia Aisyah, Ovina Akbar, Faris Akhyar, Mushtofainal Alawiyah, Rabiyatul Alfaini, Ainul Yaqin Alfian, Muhammad Faizal Alvya, Nana Alysa, Fenti Ambok Pangiuk Aminah, Ummu Amir Hasan Amril Amril Ananda, Aldila Anastasia, Vira Andang, Andang Anderson Andika Andika Anggraheni, Palupi Anis Rachma Utary Anita, Efni Antik Estika Hader, Antik Estika Aprillia, Pita Arif Munandar Arisman Arisman Arliansyah, Arul Armiati Arsa Arsa Arsya, Nadila Astuti, Amanda Febri Auliana, Rini Azmiati, Vivilia Bakhtiar, Muh. Irham Barmawai, Ramli Buhari Buhari Damayanti, Wa Ode Astika Darniyanti, Yulia Dedek Kusnadi Delmayani, Delmayani Delvianti, Sintia Dewi Setyaningsih Dian Permata Sari Diaz, Yohana Grezia Dini, Rahmi Dodi Widia Nanda Dwi Supriyanto, Muhammad Sofyan Efendi, Muchni Illahi efindel, Sintia Delvianti eka rahmawati Elistia Liza Namigo, Elistia Elyanti Rosmanidar, Elyanti Emilia Emilia Errin Yani Wijaya Estuhono, Estuhono Fahrudin Fahrudin Faidin Faidin Fajrun, Fajrun Faliha, Hammi Farhan, Muhammad Miftah Fatharini, Anjani Tri Fendy Eko Wahyudi, Fendy Eko Fhadilah, Syafirna Filahanasari, Eka Firdaus, Dadan Fitria, Leni Fusfita, Nurlia G, Rizkia Alingga Ghazali, M. Gunawan, Dede Reza Gunawan, Herri Gustina, Lidia Hadi, Dedi Abdul Hakim, Zikrul Hamzah, Hasyrul Hardi Warsono Hariawan, Owik Hasdiansah, Hasdiansah Hawahera, Citra Hermini Susiatiningsih Hidayat, Ahmad Fadel Syakir Hidayati, Zuhriyyah Hudaya, Maula Hurriyah, Salsa Sabitha Husin, Nikson Husti , Iyas Hutagalung, Agung Ariyanto Ifandi Ifandi Ika Riswanti Putranti Ikhsan Abdullah Ilham Ary Wahyudie Ilmi, Suci Annisa Imanuddin, Akbar Indah Riezky Pratiwi Indrawan, Boby Iqbal, Adi Jalalul Akbar, Said Jamal Othman, Jamal Jannah, Ummi Nur Juliana Nasution Jumni Nelli Karomah, Asror Kautsar Eka Wardhana Kibtiyah, Mariatul Kunnuzi , Kunnuzi Kurnia Putri, Fera Lasmijiani, Lasmijiani Lestari, Evi Endha Lusianah Lusianah M. Nazori Maha, Sri Wati Mahmudi, Moh Rosyid Mansurotin, Titin Marniati Kadir Marten Hanura, Marten MAULANA, RIZA Maulani Meutia Rani Mayangsari, Ita Medyan Riza Meidina, Mutiara Alda Miftah, AA Minora Longgom Nasution Mubarak, M. Ali MUHAMMAD AGIL Muhammad Iqbal Mundzir, Ali Muslim Afandi Nasrullah, Aditya Ningsih, Putri Apria Nisa, Hairun Nisa Nofriza, Eri Novi Sylvia Nurwijayanti Olpelda, Danisa Alzura Paganizza, Valeria Pane, Astriana Sitorus Prakasa, Bayu Prasetyo, Dian Estu Pratama, Virgiawan Yoga Prayogo , Youdhi Pristiansyah, Pristiansyah Priyana Soemardi, Tresna Puspita, Aprilia Putri, Anjeli Putri, Rahmadita Amalia Putriyani, Febby Rafidah Rahayu Retnowulan, Sri Rahma, Sri Rahmadhani, Raudha Rahmah, Avivah Rahman, Habby Rahman, Sakinah Rahmatina, Rahmatina Rahmawati, Rina Dian Ramdani, Dewi Ratna Wardani Ratnawati Ratnawati Risma Deviyanti, Dwi Rizal, Moh Syaiful Rizka Akbar, Irfan Robert Napitupulu Ronal Rifandi Rosa, Rosalina Rozanna Dewi Rusita Dewi, Sintya Trisna S Suharti Saddam Al Aziz Safitri, Addini Safitri, Auliya Nur Salianto Salianto, Salianto Salmi, Fikri Miftahus Salmitha, Lely Sandia, Eci`` Saputra, Agus Sari, Dini Puspita Savitri, Viora Roza setiyaningsih, dewi Shodiqin, Ghufron Shofiyani, Amrini Sissah Sissah Siswono, Hendrik Somawardi Somawardi Sri Rejeki Sri Wulandari Subiyah, Hana Sugeng Santoso Sumaryati, Ati Susanti, Yepsi Susanto, Willy Suswati, Lis Suzen, Zaldy Sirwansyah Sya'roni, Muhammad Syirad Ramadhan, Yusuf Sylvia Utami Tunjung Pratiwi Taswin, Taswin Taufiq, La Ode Muh. Topan Setiadipura, Topan Trisnawati, Ice Umami, Fahmi Najah Usdeldi, Usdeldi Viniolita, Thala Warahma, Izrha Yatmikasari, Ika Yemimaria, Yemimaria Yenni, Dwi Mai Yogatama Sulistyo, Farisy Yonesa, Salsabila Yongki, Yongki Yulia, Riska Yuliyanto Yuliyanto Yulyanti Harisman Yus'iran, Yus'iran Zainal Abidin, Moh Ali Zuliyan, Muhammad Arief