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Journal of Mathematics UNP

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Published by Universitas Negeri Padang

ISSN : 23551658 EISSN : 28073460 DOI : http://dx.doi.org/10.24036/unpjomath.v7i3.12564

Core Subject : Science, Education,

Computer Science & IT Decision Sciences, Operations Research & Management Mathematics

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.

Arjuna Subject : Matematika - Matematika (Lain-Lain)

Articles 404 Documents

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Model Matematika Penyebaran Nomophobia Anjely Aunaya Alfatihah; Muhammad Subhan
Journal of Mathematics UNP Vol 7, No 2 (2022): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Nomophobia is a psychological disease that causes a person to feel dependent on smartphones. In this study, a mathematical model of the spread of nomophobia will be formed. The purpose of the formation of this mathematical model is to provide an overview of the spread of nomophobia. The method used in this study is a descriptive method, namely, analyzing theories regarding the problems discussed. Based on the results of the analysis of the mathematical model of the spread of nomophobia, two fixed points are obtained, namely the disease-free fixed point and the endemic fixed point. Next, the stability of the fixed point will be determined, which shows that the disease-free fixed point is asymptotically stable, while the endemic fixed point is asymptotically stable if βπ>(δ+μ)(γ+μ). The simulation results for the disease-free fixed point show that at a certain time the disease will disappear, while for the endemic fixed point it shows that at a certain time the disease will outbreak if the rate of interaction between susceptible individuals and individuals infected with nomophobia is higher than the rate of individuals who have self-control and individual doing therapy.

Pembentukan Portofolio Optimal Model Markowitz Menggunakan Metode Sharpe (Studi Kasus Pada Saham Jakarta Islamic Index) Fiona Melta; Dewi Murni
Journal of Mathematics UNP Vol 6, No 3 (2021): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Investment is the activity of placing funds or money with the aim of making a profit. In addition to profits, investments also have risks that can be minimized by forming an optimal portfolio using the Markowitz Model. The purpose of this study is to determine the combination and weight of funds from each stock that makes up the optimal portfolio and to determine the optimal expected return and risk of the Markowitz model based on the Sharpe Ratio. This study uses stock data of the Jakarta Islamic Index during the period August –November 2020. The results of the analysis of 30 stocks of the Jakarta Islamic Index obtained 5 stocks forming an optimal portfolio with fund weights for each share, namely CTRA 5.32%, INCO 40.78%, SCMA 2.97%, SMGR 0.23%. , and TPIA 50.7% with expected return, portfolio risk and maximum sharpe ratio of 0.3760021%, 0.010933%, and 0.359600991, respectively.

Faktor-Faktor Penyebab Perceraian pada Pengadilan Agama Pariaman dengan Penerapan Metode Regresi Logistik Biner Rahmawita Rahmawita; Atus Amadi Putra
Journal of Mathematics UNP Vol 4, No 4 (2019): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Abstract — Divorce is the process of terminating a marriage. This research discusses the contributing factors of divorce by applying binary logistic regression methods at Religious Courts of Pariaman. The divorce lawsuit filed in Religious Court of Pariaman has undergone an increase in the last few years since 2014-2017 where this divorce case is improving more than 7000 cases per year. The factors used are husband’s age, wife’s age, husband’s education, wife’s education, there is third person, harshness, economic factors, unresponsibility, uncompatible. The population was all cases of divorce at Pariaman in January-February 2019 as many as 134 cases, which is using total sampling. Based on the result that the most dominant factor of divorce causes are husband’s education level and uncompatible. Keywords — Binary Logistic Regression, Divorce, Dominant Factors.

Optimasi Pendistribusian Air PDAM Payakumbuh dengan VAM dan Pengujian Optimalitasnya Menggunakan Metode MODI Annisya Annisya; Hendra Syarifuddin; Riry Sriningsih
Journal of Mathematics UNP Vol 6, No 1 (2021): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Abstract – Optimization model is one of the analysis models which identictooperations research. Transportation model relatesto the determination of the least cost plan to send an item from a number of source to a number of destination areas, like VAM. VAM principle ischooseleastof the least cost of eachrowandcolumnand thencalculate the differencebetweenit. Thedifferenceis called Vogel number. VAMmethodswillprovidesan initial solution to findthe nearest optimalsolution. Thereforeitis necessary to do a testthe optimalityoftheinitial solutionusingMODI. MODI method is to resolve the case of the transportation that was developed from the stepping stone method. The purpose of this research is determining the optimal water distribution with minimum distribution cost. The result ofthis indicate that the operating costs is Rp. 6,344,697.13 before it was done minimization and the operational costsis Rp. 5,284,908.08 after it was done minimization by VAM. Keywords – vogel approximation, modified distribution, optimization, water distribution.

Perhitungan Dana Tabarru’ Asuransi Syariah Menggunakan Hukum Mortalita Makeham dengan Metode Cost of Insurance Riri Indriani; Devni Prima Sari
Journal of Mathematics UNP Vol 5, No 2 (2020): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Abstract — Tabarru’ funds in Islamic insurance is a number of funds that are used to help each other between insurance participants. In the fund management mechanism with savings element, Tabarru’ funds have a percentage of payment of 5%. Whereas in the management of funds without savings, it is not known how much the percentage must be paid to the company, so that it will cause confusion for customers. In this research, we will discuss how to calculate the tabarru’ funds using the cost of insurance method. This calculation involves the probability of death based on the Makeham mortality table. Makeham Mortality Tables can be arranged by estimating parameters using the least squares method. obtained parameters A, B and C, respectively for men, namely 0.05822, 0.00158 and 1.08394, while for women namely 0.04418, 0.00152 and 1.08400. So the amount of tabarru’ funds that must be paid by someone aged x that is,Keywords — Tabarru’ funds, Makeham Mortality Law, Least Squares Method, Cost of Insurance Method

Model Matematika Rantai Makanan Tiga Spesies Yongki Sukma; Media Rosha; Arnellis Arnellis
Journal of Mathematics UNP Vol 2, No 1 (2014): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Abstract –– Predation interaction between two species have been described in Lotka-Volterra mathematical model. But in an ecosystem, predation interaction involving more than two species. In this study will be discussed predation interaction involving three species in a food chain. Obtained mathematical model will be analyzed by finding the stability of fixed point, the stability of fixed point will be analyzed with Routh-Hurwitz criterion. The model consists of three differential equations representing each species. The model has four fixed points, the fourth fixed point is stable, the first fixed point is not stable but the third and second fixed point are stable with certain conditions. The result of analisys show that three populations does not become extinct if product of species I growth rate with spesies III growth rate is greater than product of species I death rate with species III death rate. Keywords –– Food Chain, Fixed Point, Routh-Hurwitz

Tinjauan Produksi Pala di Sumatra Barat Berdasarkan Lahan Produktif Menggunakan Pemulusan Eksponensial dan Diikuti dengan Analisis Profil Rifa'atul Hamda; Helma Helma
Journal of Mathematics UNP Vol 5, No 3 (2020): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Abstract – The nutmeg production of West Sumatra since 2011-2018 has decreased fluctuately, so that influenced society economi. The purpose of this research was to know the model and nutmeg production prediction result for the next time, also to know wich regency/town are not exploit the land optimally. The method that used was Tripel Exponential Smoothing Brown with parameter a and Profile Analysis. When determining parameter a, the Mean Square Error is used. While profile analysis was determined by comparing amount of product of land area with amount of nutmeg production, so that used parallelism test, coincidance, and level. The data that used was secondary data which it was obtained Central Static Agency publication of West Sumatra 2012-2019. The nutmeg prediction result at 2019-2023 sequentially in tonnes are 1255.95, 1261.38, 1266.94, 1272.65 and 1278.49. Here are some region that are not optimal yet, among them: Mentawai Island Regency, South Pesisir, Padang Pariaman, and Padang City. Keywords – total production nutmeg, triple exponential smoothing brown type, profile analysis.

Optimasi Hasil Produksi Tahu dan Tempe dengan Metode Branch and Bound dan Metode Cutting Plane Raudhatul Jannah A.M; Arnellis Arnellis; Riry Sriningsih
Journal of Mathematics UNP Vol 3, No 1 (2018): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Abstract –The optimal profit isthe main goal in every business.The purpose of this study is to determine how the problem of optimization of production output to be solved and to know the result of optimal production from Tofu Yanto Factory based on the availability of materials, capital of production, times and worker. Factory need to plan a strategy so that all available resources can be used appropriately to obtain optimal production results. A linear programming is a decision making technique for solving the problem of limited resource allocation to achieve an optimum goal. Some ways that can be done to complete the integer programming is by using the branch and bound method and the cutting plane method. Both of these methods are methods for solving integer linear programming problems that will result in integer decision variables. Based on the result of the research, it is found that the branch and bound method is more effectively than the cutting plane method for the optimization of tofu and tempe products at Tofu Yanto Factory.

PEMODELAN CONTRACEPTIVE PREVALENCE RATE (CPR) DI SUMATERA BARAT MENGGUNAKAN PENDEKATAN REGRESI NONPARAMETRIK SPLINE Jihad Lillah; Helma Helma
Journal of Mathematics UNP Vol 6, No 3 (2021): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

This study aims to identify the factors that influence the percentage of CPR and to model the pattern of the relationship between CPR and the factors thought to influence it using a nonparametric spline regression approach. The spline regression used has an optimum knot point with a minimum CGV value of three knot points. Based on the results of parameter testing, it is known that the factors that affect the percentage of CPR are the percentage of the poor people, the percentage of women aged 15 years and over with the highest education being small from junior high school, the percentage of women aged 15 years and over who are included in the workforce and the percentage of the number of family planning service posts. This nonparametric spline regression model has a coefficient of determination (R2) is 96.14%.

Modifikasi Algoritma Kriptografi RSA Multiprima Menggunakan Chinese Remainder Theorem dan Garner’s Algorithm Fatimah Putri Johari; Dewi Murni; Hendra Syarifuddin
Journal of Mathematics UNP Vol 4, No 2 (2019): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Abstract–Cryptographic algorithms multiprime RSA (Rivest-Shamir-Adleman) is one of the public key cryptographic algorithms that are widely used, because the algorithm is easily applied and security is also guaranteed. But on the other hand this algorithm has drawbacks, namely the process of decryption a takes a relatively long time because using modular exponentiation. To address this, it will do modifications to the process of decrypting RSA Cryptographic algorithms multiprime by finding a method that can cut the number of modular exponentiation operation is great modular exponentiation operation into several smaller ones. This modification is only focused on the process of decryption is done by leveraging the next reminder: chinese theorem can be solved using Garner's algorithm. This modification of the results obtained a new private key used for decryption process Keywords –Cryptography, Multiprime RSA, Chinese Remainder Theorem(CRT), Garner’s Algorithm

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Defri Ahmad

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defri_math@fmipa.unp.ac.id

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+6281374333545

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Editorial Address
Jl. Prof. dr. Hamka Air Tawar Barat Padang

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Kota padang,

Sumatera barat

INDONESIA