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Defri Ahmad
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INDONESIA
Journal of Mathematics UNP
Core Subject : Science, Education,
Journal of Mathematics UNP is a journal to publish article from student researches in UNP Mathematics study program, and we also kindly accept other article from outside of our study program related to Mathematics: consists of publication in Algebra, Analysis, Combinatoric, Geometry, Differential Equations, Graph and/or Mixed Mathematics Applications: consists of publication in Application of Differential Equations, Mathematics Modelling, Mathematics Physics, Mathematics Biology, Financial Mathematics, Application of Graph and Combinatorics, Optimal Control, Operation Research, and/ or Mixed Statistics: consists of publication on Development and/ or Application of statistics in various aspects.
Articles 404 Documents
Pemodelan Stunting pada Balita di Indonesia Menggunakan Geographically Weighted Regression (GWR) Sari, Rida Purnama; Winanda, Rara Sandhy
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.v8i3.15057

Abstract

Stunting affects children's growth, with the number of cases of stunting under five in Indonesia amounting to 21.6 percent in 2022. Each province in Indonesia has different stunting rates. So a solution is needed to find out the right factors as a form of prevention of cases of stunting toddlers. This study uses geographically weighted regression in modeling the stunting rate, with variables that are assumed to influence it. Based on the spatial heterogeneity test, the stunting rate among toddlers varies in each region. Furthermore, several regional groups were formed based on significant variables. The first group is provinces that do not have explanatory variables that affect stunting rates in children under five. Meanwhile, the second group showed Low Birth Weight (LBW) as an influencing variable and the third group consisted of exclusive breastfeeding and Low Birth Weight (LBW) as a variable affecting stunting rates in toddlers.
Penerapan Metode Simple Hill Climbing dalam Menentukan Rute Terpendek Distribusi Usaha Bolu Dedek Putri, Mutiara Ayu; Rizal, Yusmet
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.v8i3.14947

Abstract

Traveling Salesman Problem (TSP) is a problem related to a seller who are required to visit a number of different cities once only, and return to his hometown. This research aims to determine the shortest route in the distribution of Dedek's Bolu Enterprises using the Simple Hill Climbing method. The benefits of this method are to solve the problem of finding the shortest route starting from improving the initial solution by evaluating the current solution and considering neighboring solutions that have better objective function values. If present, the current solution is upgraded by selecting that neighbor solution. This steps are repeated until there is no neighbor solution that has a better objective function value, indicates that the local optimum value that has been achieved. Based on the results of the research, the latest route was obtained with a distance of 57.2 km on the combined route, namely O-A-B-C-D-F-E-G-I-J-H-O or 4.5 km shorter than the distribution route normally used by business owners.
Model Matematika Free Throw pada Permainan Bola Basket Saputra, Yogi Trio; Rosha, Media
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.v8i3.14921

Abstract

In basketball, basic skills such as Passing, Dribbling, Rebound, and Shooting are crucial. Shooting includes various techniques like one hand set shoot, jump shot, lay up, hook shot, runner, three-point shot, and free throw. A free throw is an unguarded shot that awards one point if successful. One of the factors that affects the success of executing a free throw is understanding the physics principles involved, such as parabolic motion, Magnus effect, gravitational force, and friction when the ball is in the air. During a free throw, the ball moves in three dimensions (3D). This applied research utilized secondary data and the numerical method of Runge-Kutta to determine the optimal trajectory of the ball during a free throw. The results indicate that an initial velocity of 10 m/s with a spin frequency of 3 rot/s and a shooting angle of 30°, as well as a shooting angle of 48° with a spin frequency of 3 rot/s and an initial velocity of 8 m/s, provide the best trajectory for scoring points.
Estimasi Parameter Model Suku Bunga Vasicek menggunakan Metode Jackknife pada Bank Indonesia Khairunnisa, Michi; Arnellis, Arnellis
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.v9i2.14215

Abstract

Stochastic interest is exemplified by the Vasicek Interest Rate Model. Interest rates change from time to time. This study is a type of applied research in which the Jackknife Method to gauge the characteristics of the parameters of the Vasicek Interest Rate Model. The Jackknife method of parameter estimation involves resampling, which is done by taking out one observation from the data and repeating the process as often as necessary. The Jackknife technique is used to get estimates from observation with a small sample size. The goal of this study is to understand the Jackknife Method’s estimate findings for the Vasicek Model parameters. The Vasicek Model parameter estimate process involves numerous steps, including establishing the recursive solution, changing the equation into a regression form, then transformation to the matrix and estimation to the parameter using the Jackknife technique. By following the step, it is possible to determine that the Vasicek interest rate model parameters is   0.20424,  0.38909 ,  as well as   0.28083.
Optimasi Rute Terpendek Jalur Distribusi Pupuk Menggunakan Algoritma Artificial Bee Colony (Studi Kasus: PT Bungo Dani Mandiri Utama Liusman, rio; Winanda, Rara Sandhy
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.v8i4.14973

Abstract

Product distribution involves planning and storing information related to product storage until the product is delivered. PT Bungo Dani Mandiri Utama is a fertilizer distributor that must visit ten retailers in its product distribution. This research aims to test whether the route currently used by PT Bungo Dani Mandiri Utama is optimal or needs improvement. This research is an applied study that uses the Artificial Bee Colony algorithm to solve the fertilizer distribution problem modeled as a Traveling Salesman Problem. From the analysis, the optimal route is obtained, starting from the warehouse, passing Lubuk Beringin, Limbur, Kerakap Island, Rantau Ikil, Mangun Jayo, Tanjung Menanti, Sungai Binjai, SPA Unit 1 Market, Tirta Mulya, Senamat, and back to the warehouse, with a total distance of 330 km. This optimal route is 48 km shorter than the usual route used by PT Bungo Dani Mandiri Utama which covers 378 km.
Mathematical Model of the Spread of Middle East Respiratory Syndrome- Corona Virus (MERS-CoV) Eriza, Suci Okta
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.v9i1.10932

Abstract

ABSTRACT           Viruses are parasites or living things whose life depends on other living things, microscopic (invisible to the eye) that infect the cells of biological organisms. There are many diseases caused by viruses, one of which is Middle East Respiratory Syndrome-Corona Virus (MERS-CoV), which is a subtype of the corona virus that has never been found to infect humans before.          This study aims to form a mathematical model that can describe how the Middle East Respiratory Syndrome-Corona Virus (MERS-CoV) spreads to help control measures.          This research is a basic research using descriptive method, namely by analyzing the theories relevant to the problem. This research begins by forming a mathematical model of the spread of Middle East Respiratory Syndrome-Corona Virus (MERS-CoV) then looking for a fixed point and analyzing the stability of that fixed point and interpreting the analysis results obtained from the model.          The model obtained is in the form of a system of differential equations consisting of three equations and has two fixed points. From the analysis, it is found that the factor that affects the spread of Middle East Respiratory Syndrome-Corona Virus (MERS-CoV) in a population is the level of transmission. The higher the level of transmission and the lower the cure rate for an infected individual, the more MERS-CoV spread will be. Keywords: Mathematical Model, Middle East Respiratory Syndrome – Corona Virus (MERS-CoV)
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.
Optimasi Perencanaan Menu Diet Bagi Penderita Penyakit Asam Urat Menggunakan Weighted Goal Programming Fadhilla, Aisya; Ahmad, Defri
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.v9i1.14002

Abstract

A low-purine diet is recommended for gout patients. The goal of this diet are to achieve and maintain normal nutritional status while also lowering uric acid levels in the blood. This study aims to manage the menu of a low-purine diet in order to minimize the deviations of energy, proteins, fats, and carbohydrates using the weighted goal programming method. The study was started by formulating the models and planning a diet menu using the weighted goal programming method. The results showed that the food portions of the low-purine diet menu planning using the weighted goal programming method could fulfill the target of the patient's total daily energy needs.
Optimasi Penjadwalan Produksi Sanjai Menggunakan Algoritma Campbell Dudek Smith Sari, Lusi Febrina; Helma, Helma
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.v8i4.15366

Abstract

scheduling is an important component in planning deals with time management for all activities required in the process of making goods or services. Production scheduling is a tool used to determine the time period used in each working day during the production process. through the use of the Campbell Dudek Smith algorithm, this research aims to obtain satisfactory production result, namely achieving the minimum total work time so as to solve the the problem of product delivery delays at the Kerupuk Sanjai Nitta business. The Campbell Dudek Smith algorithm can determine the best scheduling order by prioritizing jobs with the least production processing time in the production process. This algorithm, which is an extension of Johnson’s algorithm, produces  iterations for alternative work schedule sequences. The results show that the best result optimal scheduling is obtained from the fifth iteration with takes a total time of  hours, so that Sanjai Nitta’s business can complete the production process earlier and save  hours of work time.
Perhitungan Invers Kinematik pada Jalan Robot Humanoid Rahmawati, Annisa; Rizal, Yusmet
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.v9i2.15816

Abstract

Inverse kinematics is a mathematical calculation for robot motion design. With the known value of the desired coordinate point, this calculation determines the angles needed to move each joint on the robot. One of the solutions to the inverse kinematic equation can use the geometric approach method. This method is used to obtain angles on each axis of robot motion so that the end-effector can reach the desired position. In this geometric method approach, the three-dimensional (3D) viewpoint is decomposed into a two-dimensional (2D) viewpoint to facilitate the analysis and calculation process. Humanoid robots have 4 phases to walk, namely Double Support Phase, Pre-swing Phase, Single Support Phase, and Post-Swing Phase. By implementing the inverse kinematic formula into the C++ programming language, the humanoid robot can walk by entering the x, y, and z coordinate values. The x coordinate value regulates the tilt of the robot, the y coordinate value regulates the back and forth movement of the robot's legs, and the z coordinate value regulates the height of the robot's legs.