Jurnal Riset Mahasiswa Matematika
https://ejournal.uin-malang.ac.id/index.php/jrmm
<p><strong>p-ISSN: <a href="https://issn.brin.go.id/terbit/detail/20210927391064748" target="_blank">2808-1552</a> | e-ISSN: <a href="https://issn.brin.go.id/terbit/detail/20211020291791635" target="_blank">2808-4926</a><br /></strong></p><p>Jurnal Riset Mahasiswa Matematika (JRMM) publishes current research articles in any area of Mathematics Research such as graph labelings, modeling, statistics, actuaria, optimal network problems, metric dimension, graph coloring, rainbow connection and other related topics. JRMM is published six times a year, namely in February, April, June, August, October, December<br /><br />JRMM is published by the Association of Indonesian Islamic Religious University Mathematics Lecturers and Department of Mathematics Universitas Islam Negeri Maulana Malik Ibrahim Malang (UIN Malang).<br /><br />All papers will be refereed in the normal manner of mathematical journals to maintain the high standards. JRMM is an open access journal. Full-text access to all papers is available for free.<br /><br />Jurnal Riset Mahasiswa Matematika (JRMM) has been indexed by Google Scholar</p>Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malangen-USJurnal Riset Mahasiswa Matematika2808-1552Pengaplikasian Prosedur Perhitungan untuk Menentukan Produksi Batik Tulis Madura Menggunakan Metode Fuzzy Database Model Tahani
https://ejournal.uin-malang.ac.id/index.php/jrmm/article/view/22415
<p class="Abstract"><span lang="EN-US">One of the subdivisions of fuzzy logic is the study of the fuzzy database with Tahani model which is described as a model used to process data searches based on operations in fuzzy set theory to obtain appropriate information so that the data search process becomes accurate. The research aims to implement the Fuzzy Database with Tahani Model in determining the appropriate variant of batik tulis with the specified criteria. The initial step of the research is fuzzification, namely determining the domain of each complete variables with intervals of numerical variables and linguistic variables. In this research some variables were used: the price of the cloth, the number of colors and the work durations. Each variable is divided based on the interval between the lowest data and the highest data so that the variable price of the cloth is divided into 4, the number of colors is 3, and the work durations is 5. Then determine the membership function, the variable price of cloth, the number of colors, and the work duration using a linear model and triangle in determining the degree of its membership. Data tabulation from strict sets to fuzzy sets with numerical variables and linguistic variables. In preparing the criteria, 60 rule bases are based on the theory of consumer needs for batik tulis. Not all rule bases occur, because the data collects only a few criteria. Determining the value of fire strength, using the AND rule means selecting the minimum degree of membership from the available. The recommendation results determine to sort the washing machine data that has the highest fire strength value to the smallest fire strength value from each criterion.</span></p>Muh Syarifuddin Syafiqy MiskaramEvawati AlisahAchmad Nasichuddin
Copyright (c) 2024 Jurnal Riset Mahasiswa Matematika
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2024-01-022024-01-0232546410.18860/jrmm.v3i2.22415Analisis Konstanta Euler-Mascheroni yang Diperumum pada Deret Harmonik
https://ejournal.uin-malang.ac.id/index.php/jrmm/article/view/22447
<p class="Abstract"><span lang="EN-US">The generalized Euler-Mascheroni constant analyzes functions or sequences with specific parameters in various scientific fields. As scientific knowledge advances, the generalized Euler-Mascheroni constant continues to undergo renewal. One example is found in "On Generalized Euler-Mascheroni Constants" by G. Abe-I-Kpeng, M.M. Iddirisu, and K. Nantomah in 2022. The purpose of this study is to analyze the relationship between the generalized Euler-Mascheroni constant and harmonic series, as well as to examine its connection with signed count permutations. The analysis involves decomposing the Riemann Zeta function and using Stirling numbers of the first kind. The methodology employed in this study was literature research. This study yields new theorems concerning the generalized Euler-Mascheroni constant.</span></p><div id="gtx-trans" style="position: absolute; left: 251px; top: 55px;"> </div>Raisha Inayah RahmanHairur RahmanErna Herawati
Copyright (c) 2024 Jurnal Riset Mahasiswa Matematika
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2024-01-022024-01-0232657310.18860/jrmm.v3i2.22447Solusi Eksak Sistem Imun Terhadap Virus Ebola
https://ejournal.uin-malang.ac.id/index.php/jrmm/article/view/22449
<p>The Ebola virus is a deadly disease that causes blood clots in the body's organs and is spread through direct contact with the blood or body fluids of sufferers. Based on this, the immune system in the body will continue to decrease and cause Ebola Hemorrhagic Fever. The 2014-2016 Ebola outbreak in West Africa has accelerated the development of several preventive vaccines against the Ebola virus. The goal of the vaccination is to induce immunity against infectious diseases. And also to stimulate the immune system and its ability to store and remember information about specific pathogens, leading to long-term protective immunity. The model equation for the Ebola virus vaccine in this study involves the concentration of the antigen which is a variable , by means of which the vaccine is inserted into the patient's body where it will attach to B memory cells which are variable , which will then be stimulated by the cells short-lived antibodies are denoted by variables or long-lived cells are denoted by variables , while antibodies will prove efficacy denoted by variables on the patient's immune response. The simulation of the exact solution for the Ebola vaccine uses the integration factor method which will later be compared with numerical simulations according to the parameter values from the research of Irene Balelli et al (2020). The simulation obtained has a very small calculation error value for each variable, which means that the exact value of the Ebola virus vaccination model shows that there is no significant difference to the numerical solution using the order 45 <em>Rungge Kutta</em> method, the largest resulting numerical error is 2.29640283510782×〖10〗^9.</p>Amadhea Aisyatul AisyiyahHeni WidayaniErna Herawati
Copyright (c) 2024 Jurnal Riset Mahasiswa Matematika
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2024-01-022024-01-0232748310.18860/jrmm.v3i2.22449Analisis Dinamik Model Sel Kanker Prostat dengan Terapi Vaksin Kuratif
https://ejournal.uin-malang.ac.id/index.php/jrmm/article/view/22456
<p class="Abstract"> Prostate cancer is a type of cancer that occurs in men and requires an effective therapeutic approach. Treatment of prostate cancer depends on the stage at diagnosis. In advanced stages of prostate cancer can be treated with hormone therapy such as chemotherapy which is then followed by vaccine therapy which aims to help increase the body's immune system response to prostate cancer cells. This model consists of a system of ordinary differential equations with five variables used, including androgen-dependent prostate cancer cells, androgen-independent prostate cancer cells, dendritic cells, effector cells, and curative vaccines. Then two equilibrium point conditions are produced, when there is no vaccine for disease free conditions and endemic conditions , then when the vaccine there are three equilibrium conditions namely disease free , side effects and local existence between prostate cancer cells with vaccine . The results of the stability analysis for each equilibrium point show that when , the condition is global asymptotic, while the condition is stable because the eigenvalue is negative. When for the condition it is unstable because the two roots are positive, then for the condition it is global asymptotic and for the condition it is asymptotically local because all the eigenvalues are negative. The numerical simulations of equilibrium points obtained using the fourth order <em>runge-kutta</em> method according to different q parameter values show that the larger the dendritic cells and effector cells activated, the greater the vaccine that enters the body, resulting in immune cells that will fight prostate cancer cells.</p>Siti Sakinah MawaddahUsman PagalayAchmad Nasichuddin
Copyright (c) 2024 Jurnal Riset Mahasiswa Matematika
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2024-01-022024-01-02328410010.18860/jrmm.v3i2.22456Analisis Implementasi Matriks dalam Estimasi Laju Pertumbuhan Populasi Wanita
https://ejournal.uin-malang.ac.id/index.php/jrmm/article/view/22578
<p class="Abstract">Leslie matrix is a growth matrix used to estimate the growth rate of a population. Through the population growth rate, information can be obtained whether the growth tends to increase, decrease, or stabilize. The general form of the Leslie matrix is a square matrix in which the first-row entries contain values of female fertility rate , the subdiagonals contain values of female survival rate , and entries other than in the first row and sub diagonals are zero. This research is to determine the implementation of the Leslie matrix in estimating the female population growth rate in Situbondo Regency 2023 and its analysis. The stages of this research began with presenting the Leslie matrix population growth model for the next three years. The second stage is to determine the age class interval. Next, determine the initial age distribution vector. The fourth and fifth stages, respectively, are calculating the and the value. The next step is constructing the Leslie matrix. The seventh stage is to calculate the estimated female population. The eighth stage is determining the eigenvalue and ends with determining the dominant eigenvalue. Based on the results of the research that has been done, it is obtained that the estimated female population in Situbondo Regency 2023 tends to decrease with the acquisition of a dominant eigenvalue that is less than one. That information can be taken into consideration by the government in formulating population-related policies.</p>Ulfia Imelda WijayaIntan Nisfulaila
Copyright (c) 2024 Jurnal Riset Mahasiswa Matematika
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2024-01-022024-01-023210110910.18860/jrmm.v3i2.22578