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All Journal Eksakta : Berkala Ilmiah Bidang MIPA Journal of Mathematics UNP Rangkiang Mathematics Journal

Yusmet Rizal

Universitas Negeri Padang

Author-ID : 5414866

Agriculture, Biological Sciences & Forestry Astronomy Biochemistry, Genetics & Molecular Biology Chemical Engineering, Chemistry & Bioengineering Chemistry Civil Engineering, Building, Construction & Architecture Computer Science & IT Decision Sciences, Operations Research & Management Energy Engineering Environmental Science Materials Science & Nanotechnology Mathematics Mechanical Engineering Other

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DIAGONALISASI BENTUK KUADRATIK IRISAN KERUCUT Yusmet Rizal
EKSAKTA: Berkala Ilmiah Bidang MIPA Vol. 19 No. 1 (2018): Eksakta : Berkala Ilmiah Bidang MIPA (E-ISSN : 2549-7464)
Publisher : Faculty of Mathematics and Natural Sciences (FMIPA), Universitas Negeri Padang, Indonesia

In general, the conic section equation consists of three parts, namely quadratic, cross-product, and linear terms. A conic sections will be easily determined by its shape if it does not contain cross-product term, otherwise it is difficult to determine. Analytically a cone slice is a quadratic form of equation. A concept in linear algebraic discussion can be applied to facilitate the discovery of a shape of a conic section. The process of diagonalization can transform a quadratic form into another form which does not contain crosslinking tribes, ie by diagonalizing the quadrate portion. Hence this paper presents the application of an algebraic concept to find a form of conic sections.

Pemodelan Matematika Tendangan Penalti Pada Olahraga Futsal Hagi Ivano Gusmaldy; Yusmet Rizal
Journal of Mathematics UNP Vol 5, No 4 (2020): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Abstract— Penalty is the best chance to score in a set play situation. The kicker is almost unmatched by anyone except the enemy goalkeeper who is 6 meters away from the kicker. The problem that occurs with this penalty kick is that most players are more concerned with the power of the shot compared to the direction of the ball to a point that is difficult to reach by the goalkeeper, so that many kickers fail to take kicking shots in this futsal sport. The purpose of this study is to determine a mathematical model and interpret the model obtained. This mathematical model is obtained with a range of angles defined using right triangles and trigonometric ratios. Also, the sides of the triangle are calculated using the Pythagorean theorem. Velocity is calculated using a simple projectile motion equation. The numerical method is used to find the velocity range for each corner. The result of the research is that the initial velocity of the ball is 78, 19 km / h, while the angles for each are θ = 38,14o or θ = 51,86 o.Keyword —mathematical model, penalty kick, futsal, angel, velocity.

Faktor-Faktor yang Mempengaruhi Indeks Pembangunan Manusia (IPM) Provinsi Sumatera Barat dengan Menggunakan Analisis Regresi Data Panel Silvia Fransiska; Yusmet Rizal
Journal of Mathematics UNP Vol 5, No 3 (2020): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Abstrak— The Human Development Index (HDI) is a parameter that functions to assess the success of the quality of human life. The increase in HDI in West Sumatra Province was not accompanied by an equal distribution of HDI in each Regency / City. The factors used in the study are poverty, life expectancy (AHH), average school length (RLS), long school expectancy (HLS), per capita expenditure and economic growth. The research was conducted to see what factors influenced HDI in West Sumatra Province from 2012 to 2018, in which districts / cities were divided into three regional groups based on regional profiles, regional potential and average regional income. The results showed that AHH, RLS, HLS and per capita expenditure were factors that influenced HDI for group I regions. Poverty, HLS and expenditure per capita were factors that influenced the HDI of group II regions. Keywords: HDI, Panel Data Regression Analysis, Fixed Effect Model (FEM).

Determinan Matriks Persegi Panjang Ryan Eka Putra; Yusmet Rizal
Journal of Mathematics UNP Vol 5, No 1 (2020): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Abstract —One study in matrix theory is determinant. Matrix determinants are usually used to find the inverse of a matrix, to solve a system of linear equations, and determine the characteristic equations of a problem in determining eigenvalues. The concept that developed so far is to determine the determinant of the matrix only focused on a square matrix. The next problem is what if the matrix is not a square matrix. However ,there is a method developed by Radic to find the determinant value of a rectangular matrix. This research is a theoretical research with literature study. The purpose of this research is to determine the concept of determinant rectangular matrix. The concept that will be discussed in this research is how to calculate the determinants of a rectangular matrix and how the properties of a rectangular matrix determinant. The results of determinant rectangular matrix is an extension of the definition of the determinant which shows the series of determinants of sub matrix for a square matrix. Keywords — Determinant, Matrix, Radic Method.

Analisis Keoptimalan Jaringan Transmisi Nasional Provinsi Sumatera Barat dengan Algoritma Prim Nafiha Irsyam; Yusmet Rizal
Journal of Mathematics UNP Vol 5, No 2 (2020): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Abstract — Electricity is one of the main requirement for supporting and compliances the needs of human life. Consumption of electricity continues to increase caused by many residential areas and large industries built also many locations need electricity. Electric power must be developed in line with the increasing demand for electricity, but the installation of electric cables are sometimes inefficient and spending lots of charge. The purpose of this study is to determine the optimal length of electric cables in the national transmission network of West Sumatra. This study begins by representing the map of the National Transmission Network of West Sumatera into a connected, weighted and undirected graph, then determining the minimum spanning tree using Prim Algorithm. The result of this research is electrical cables on the transmission network with Prim Algorithm is more optimal. Keywords — Transmission Network, Optimization, Prim Algorithm.

Metode Tipe Newton Bebas Turunan untuk Menentukan Akar Persamaan Tak Linier Engki Mai Putra; Muhammad Subhan; Yusmet Rizal
Journal of Mathematics UNP Vol 4, No 2 (2019): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Abstract –Newton Method and Potra-Ptak Method are an iterative method which is used for solving nonlinear equation. Both of those method still have low order. Newton Method has second order convergence and Potra-Ptak Method has third order convergence. It make those method slow in getting roots approximation. Therefore, researcher modify both of those method use Taylor Series to increase the order of convergence, so we obtain Newton Type Derivative Free Method. So that, the purpose of this research is finding the roots of nonlinear equations using Derivative Free Newton Type Method, making the algorithm and determining the order of convergence. This research is theoretical research by reviewing relevant theories for solving nonlinear equation. The results of the research are Derivative Free Newton Type Method, algorithm of Derivative Free Newton Type Method, and this method has fifth order convergence. Keywords – Potra and Ptak Method, Taylor series, Derivative Free, Order of Convergence

Pemodelan Matematika Tendangan Penalti Pada Olahraga Futsal Hagi Ivano Gusmaldy; Yusmet Rizal
Journal of Mathematics UNP Vol 5, No 3 (2020): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Abstract— Penalty is the best chance to score in a set play situation. The kicker is almost unmatched by anyone except the enemy goalkeeper who is 6 meters away from the kicker. The problem that occurs with this penalty kick is that most players are more concerned with the power of the shot compared to the direction of the ball to a point that is difficult to reach by the goalkeeper, so that many kickers fail to take kicking shots in this futsal sport. The purpose of this study is to determine a mathematical model and interpret the model obtained. This mathematical model is obtained with a range of angles defined using right triangles and trigonometric ratios. Also, the sides of the triangle are calculated using the Pythagorean theorem. Velocity is calculated using a simple projectile motion equation. The numerical method is used to find the velocity range for each corner. The result of the research is that the initial velocity of the ball is 78, 19 km / h, while the angles for each are θ = 38,14o or θ = 51,86o.Keyword —mathematical model, penalty kick, futsal, angel, velocity.

Optimalisasi Keuntungan pada Perusahaan Keripik Sanjai Mintuo dengan Metode Branch and Bound Dythia wulandari; Yusmet Rizal
Journal of Mathematics UNP Vol 5, No 1 (2020): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Abstract— The purpose of the company is looking for profit or benefit as much as possible with the existing restrictions, one which of the lack in management is the terms of production (over product inventory or the products do not consumer market demand). Optimal use of raw ingredients is needed to maximize the amount of production that will the produce greater profits. The purpose of this study was to determine the shape of the model and the results of production at the Sanjai Mintuo company using the branch and bound method. The branch and bound method is a method used to found the integer programs. In the Sanjai Mintuo chips company, the optimal production results are 209 sanjai bargain, 154 Lado Red Sanjai, 133 Green Sanjai Lado, 117 packages of corn flavour with optimal benefit for production (for 3 days) Rp. 5.862.907. Keywords—branch and bound method, optimization, sanjai

Optimasi Jadwal Penjagaan Lembaga Pemasyarakatan Kelas IIB Pasir Pengaraian dengan Metode Goal Programming Sita Pramutia; Yusmet Rizal
Journal of Mathematics UNP Vol 5, No 2 (2020): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Abstract— Increasing the number of prisoners as well as the lack of security guards is a very serious matter faced by a prison. Events that have occurred where a security officer was threatened with a firearm in Pasir Pengaraian makes every correctional institution must always be vigilant and can regulate the security of correctional institutions in the right way. Prison Class IIB Pasir Pengaraian has limitations in the number of guards so that it requires the right method in making a guard schedule. The purpose of this study is to determine the shape of the model and the results of the Optimization of Class IIB Pasir Pengaraian Prison Guard Schedule with Goal Programming Method. Goal Programming Method is a method of solving linear programming cases that have more than one target to be achieved. By completing the scheduling model using the help of LINGO 17.0 software, the results show that with the Goal Programming method minimum morning shift guards are met, 7 people do not meet the minimum day shift guard, 4 people do not meet the minimum night shift guard, and no guards get a holiday-enter-holiday pattern. Keywords — Goal Programming, Prison, Scheduling.

Implementasi Logika Fuzzy Metode Tsukamoto dalam Menentukan Tingkat Resiko Terkena Serangan Jantung Puti Andam Dewi; Yusmet Rizal
Journal of Mathematics UNP Vol 5, No 4 (2020): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24036/unpjomath.v5i4.11109

Abstract—A coronary artery is a system of blood vessels that supplies oxygen and nutrients to the heart muscle. If there is narrowing, blood flow to the heart will decrease and cause a heart attack. This situation will not occur if you avoid the factors that trigger heart attacks. The formulation of the problem is how to determine the level of risk of having a heart attack using the Tsukamoto method of fuzzy logic. The purpose of this study was to find out how to determine the level of risk of having a heart attack using the Tsukamoto method of fuzzy logic. This research is an applied research with the population is patients who seek treatment at the cardiac clinic of Semen Padang Hospital, while the sample is outpatient cardiac clinic Semen Padang Hospital. The type of data is secondary data consisting of age, blood pressure, blood sugar and total blood cholesterol data. The results of this study are the level of risk of having a heart attack in the outpatient cardiac clinic at Semen Padang Hospital. By substituting all the values of the triggering factors, the risk of heart attack is obtained.Keywords—Heart Attack, Influencing Factors, Fuzzy Logic, Tsukamoto Method

Co-Authors Dythia wulandari Engki Mai Putra Fara Zametha Elsa Reski Fatimah Juma Sesa Hagi Ivano Gusmaldy Hagi Ivano Gusmaldy Hendra Syarifudin kenny yulianti Muhammad Subhan Nafiha Irsyam Puti Andam Dewi Ryan Eka Putra Silvia Fransiska Silvia Fransiska Sita Pramutia Triana Triana

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