Jurnal Riset Mahasiswa Matematika
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 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). 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. Jurnal Riset Mahasiswa Matematika (JRMM) has been indexed by Google Scholar
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173 Documents
<![CDATA[Penyandian Super Enkripsi Menggunakan Columnar Transposition dan Modifikasi Hill Cipher dengan Invers Kiri Matriks Persegi Panjang ]]>
<![CDATA[Fika Wahyuni]]>;
<![CDATA[Muhammad Khudzaifah]]>;
<![CDATA[Muhammad Nafie Jauhari]]>
<![CDATA[ Jurnal Riset Mahasiswa Matematika Vol 1, No 2 (2021): Jurnal Riset Mahasiswa Matematika ]]>
Publisher : <![CDATA[Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang ]]>
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DOI: 10.18860/jrmm.v1i2.14224
<![CDATA[Pada penelitian ini, digunakan algoritma columnar transposition sebagai metode transposisi dan modifikasi algoritma hill cipher dengan invers kiri matriks persegi panjang sebagai metode substitusi. Penyandian pesan menggunakan metode super enkripsi dengan algoritma columnar transposition dan modifikasi algoritma hill cipher dengan invers kiri matriks persegi panjang menghasilkan pesan akhir yang tidak mengubah, menambah maupun mengurangi pesan awal, sehingga dapat di implementasikan pada pesan dengan baik. Penyandian ini melipat gandakan keamanan suatu pesan, dimana keamanan pertama terletak pada enkripsi pesan dengan columnar transposition dan keamanan yang kedua terletak pada algoritma hill cipher yang telah dimodifikasi, sehingga membuat pesan akan semakin sulit untuk dipecahkan. Hasil dari penelitian ini dapat dijadikan sebagai tambahan pustaka mengenai kriptografi serta solusi bagi pihak yang menggunakan teknologi informasi dan komunikasi untuk dapat melakukan pengiriman pesan dengan aman.]]>
<![CDATA[Syarat Cukup Ketaksamaan Holder di Ruang Lebesgue dengan Variabel Eksponen ]]>
<![CDATA[Mohamad Abdul Ba'is]]>;
<![CDATA[Hairur Rahman]]>;
<![CDATA[Erna Herawati]]>
<![CDATA[ Jurnal Riset Mahasiswa Matematika Vol 2, No 1 (2022): Jurnal Riset Mahasiswa Matematika ]]>
Publisher : <![CDATA[Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang ]]>
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DOI: 10.18860/jrmm.v2i1.14619
<![CDATA[Hӧlder inequality is a basic inequality in functional analysis. The inequality used for proofing other inequalities. In this research, the development of the application of the Hӧlder inequality in the Lebesgue spaces with variable exponent and Morrey spaces with variable exponent. The integral Hӧlder inequality is used because the Lebesgue spaces with variable exponent and Morrey spaces with variable exponent is a function space.This research shows the sufficient condition of Hӧlder inequality in Lebesgue spaces with variable exponent and the Morrey spaces with variable exponent according to the norm of the function and its characteristics.]]>
<![CDATA[Solusi Numerik Model Gerak Osilasi Vertikal dan Torsional Pada Jembatan Gantung ]]>
<![CDATA[Hendrik Widya Permata]]>;
<![CDATA[Ari Kusumastuti]]>;
<![CDATA[Juhari Juhari]]>
<![CDATA[ Jurnal Riset Mahasiswa Matematika Vol 1, No 1 (2021): Jurnal Riset Mahasiswa Matematika ]]>
Publisher : <![CDATA[Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang ]]>
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DOI: 10.18860/jrmm.v1i1.13409
<![CDATA[Model gerak osilasi vertikal dan torsional merupakan model yang menggambarkan gerak osilasi vertikal dan gerak torsional pada batang yang digantung. Gerak osilasi vertikal merupakan gerak naik turun suatu benda yang terjadi terus berulang, dan kemudian pada waktu tertentu akan berhenti atau mengalami redaman. Gerak torsional merupakan getaran sudut dari suatu objek yang mengalami rotasi. Model gerak osilasi dan torsional pada dasarnya merupakan sistem persamaan diferensial orde dua. Tujuan dari penelitian ini adalah untuk mengetahui solusi numerik model gerak osilasi vertikal dan torsional menggunakan metode Adams-Bashforth-Moulton orde empat, lima, dan enam. Model gerak osilasi vertikal dan torsional terlebih dahulu diselesaikan menggunakaan metode Runge-Kutta-Fehlberg orde lima untuk mendapatkan solusi awal kemudian model tersebut diselesaikan menggunakan metode Adams-Bashforth-Moulton orde empat, lima dan enam. Hasil solusi numerik setiap metode Adam-Bashforth-Moulton selanjutnya diuji dengan galat relatif. Hasil simulasi numerik model gerak osilasi vertikal dan torsi diperoleh bahwa gerak osilasi vertikal dan gerak torsional merupakan gerak harmonik teredam dan semakin tinggi orde pada metode Adams-Bashforth-Moulton maka akan lebih cepat galat relatif menuju nilai nol dan sebaliknya]]>
<![CDATA[Implementasi Algoritma A-Star dalam Menentukan Rute Terpendek Destinasi Wisata Kota Malang ]]>
<![CDATA[Riyan Fahmi Syihabuddin]]>;
<![CDATA[Mohammad Nafie Jauhari]]>;
<![CDATA[Muhammad Khudzaifah]]>;
<![CDATA[Hisyam Fahmi]]>
<![CDATA[ Jurnal Riset Mahasiswa Matematika Vol 1, No 5 (2022): Jurnal Riset Mahasiswa Matematika ]]>
Publisher : <![CDATA[Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang ]]>
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DOI: 10.18860/jrmm.v1i5.14497
<![CDATA[Traveling is one of the needs of everyone to relax the mind from the busyness that is lived every day. One of the cities in East Java which is a prima donna for traveling is Malang. The city has approximately 43 tourist destinations. Usually, tourists who want to visit not only one place, but several places. generate assistance in deciding which destinations to visit first in order for their trip to be effective. The shortest search process in this study uses the A-Star Algorithm, one of the BFS algorithms which in the process really considers the heuristic value. The process of testing the shortest route is done by selecting a starting point, then selecting several tourist locations. Next, the shortest route will be searched using the A-star algorithm at each destination, then which destination will be visited first. And so on until the final destination. The effectiveness of the route which involves comparison with the route presented by google maps. Based on the results of 30 experiments on several comprehensive destinations, it was found that the average route search using the A-Star algorithm was 44.17% shorter than that presented on google maps. This is due to the uniqueness of the algorithm in which there is a heuristic value and selection for each destination so as to make the route more effective.]]>
<![CDATA[Model Epidemi Suspected Exposed Infected Recovered (SEIR) Pada Penyebaran COVID-19 Orde-Fraksional ]]>
<![CDATA[Khoirotun Nisa]]>;
<![CDATA[Hairur Rahman]]>;
<![CDATA[Ari Kusumastuti]]>
<![CDATA[ Jurnal Riset Mahasiswa Matematika Vol 1, No 3 (2022): Jurnal Riset Mahasiswa Matematika ]]>
Publisher : <![CDATA[Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang ]]>
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DOI: 10.18860/jrmm.v1i3.14440
<![CDATA[This article discusses the solution to the fractional order SEIR equation with the help of the Homotopy Perturbation Method (HPM). This mathematical model is the SEIR model of the spread of COVID-19 cases in Indonesia. In general, the nonlinear Ordinary Differential Equation System (ODES) solution is quite difficult to solve analytically, so this research will transform the nonlinear ODES into a Fractional Differential Equation System (FDES). The method used in completing this research is the HPM method. The solution for the fractional order by the HPM method is obtained by the following steps: 1). Multiply each SEIR equation against the embedding parameter and equate each coefficient in the assumed infinite series to find the solution, 2). Simulate numerical solutions and perform graph interpretation. The numerical simulation shows that the susceptible human population, the infected human population without symptoms, the recovered human population has increased, in contrast to the infected human population with decreased symptoms. The HPM method in its numerical solution shows a fairly small comparison to the nonlinear ODES solution.]]>
<![CDATA[Analisis Ketahanan Hidup Pada Penderita Kanker Serviks Menggunakan Regresi Cox Proportional Hazard ]]>
<![CDATA[Ummi Hafildah]]>;
<![CDATA[Ria Dhea Layla Nur Karisma]]>
<![CDATA[ Jurnal Riset Mahasiswa Matematika Vol 2, No 2 (2022): Jurnal Riset Mahasiswa Matematika ]]>
Publisher : <![CDATA[Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang ]]>
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DOI: 10.18860/jrmm.v2i2.15042
<![CDATA[Survival analysis is a statistical method used to analyze data with time until the occurrence of a certain event which is commonly referred to as "failure". One of the objectives of survival analysis is to determine the effect of predictor variables on survival time. The purpose of this study was to determine the regression model and determine the hazard ratio of each factor that is thought to affect the survival of cervical cancer patients. The results of this study showed that the factors that influence patients with cervical cancer in their survival are stage II and stage III variables (the patient’s stage), complications, and a history of pregnancy (who have children 0-2).]]>
<![CDATA[Implementasi Fungsi Hash MD5 dan Kriptografi Algoritma RSA pada Pembuatan Tanda Tangan Digital ]]>
<![CDATA[Annisa Hardiningsih HR]]>;
<![CDATA[Muhammad Khudzaifah]]>;
<![CDATA[M. Nafie Jauhari]]>
<![CDATA[ Jurnal Riset Mahasiswa Matematika Vol 1, No 2 (2021): Jurnal Riset Mahasiswa Matematika ]]>
Publisher : <![CDATA[Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang ]]>
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DOI: 10.18860/jrmm.v1i2.13992
<![CDATA[Pada penelitian ini dibahas penerapan tanda tangan digital sebagai bentuk penjagaan keontentikan suatu dokumen elektronik yang dibuat dengan menggabungkan dua algoritma, yaitu fungsi hash MD5 (Message Digest 5) dan RSA (Rivest Shamir Adleman). Isi dokumen elektronik diberikan fungsi hash MD5 sehingga menghasilkan message digest. Selanjutnya message digest akan dienkripsikan menggunakan algoritma kriptografi RSA sehingga menghasilkan tanda tangan digital. Hasil pengujian menunjukkan bahwa tanda tangan digital yang dihasilkan adalah berbeda-beda dari setiap dokumen elektronik. Dokumen elektronik yang menghasilkan nilai dekripsi tanda tangan digital dan message digest modulo yang sama menunjukkan bahwa dokumen elektronik tidak mengalami perubahan pada isinya. Sebaliknya, dokumen elektronik yang tidak menghasilkan nilai dekripsi dan tanda tangan digital dan message digest modulo yang sama menunjukkan bahwa dokumen elektronik telah mengalami perubahan pada isinya.]]>
<![CDATA[Analisis Frekuensi Ciphertext dengan Algoritma Kriptografi DNA dan Transformasi Digraf ]]>
<![CDATA[Widya Nur Faizah]]>;
<![CDATA[Muhammad Khudzaifah]]>;
<![CDATA[Dewi Ismiarti]]>
<![CDATA[ Jurnal Riset Mahasiswa Matematika Vol 1, No 6 (2022): Jurnal Riset Mahasiswa Matematika ]]>
Publisher : <![CDATA[Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang ]]>
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DOI: 10.18860/jrmm.v1i6.14591
<![CDATA[DNA Cryptography is one of new algortihm in cryptography that is used to encrypt the data by converting the DNA code into binary code. Encryption process is expected to produce a random and unreadable ciphertext. This research aims to determine the result of encryption frequency analysis of the ciphertext obtained from the encryption process using DNA Cryptography and Digraph Transformation algorithm. The formation of a symmetric key is carried out for the encryption and decryption process in DNA Cryptography, and modular arithmetic in Digraph Transformation algorithm. The encryption process produces ciphertext in the form of letters and symbols because if involves the use of an ASCII table. Frequency analysis is done by comparing the frequency of occurence of letters in the ciphertext with frequency of occurence of letters in English. The conclusion for this research is that the ciphertext looks random, not easy to read, and hard to guess. For the future work, researcher can change the choice of binary code combinatory in DNA Cryptographic algorithms, increase the character vocabulary in the Digraph Transformation algorithm, and use various languages to code.]]>
<![CDATA[Ruang l^p pada Norm-2 Lengkap ]]>
<![CDATA[Sri Utami]]>;
<![CDATA[Hairur Rahman]]>;
<![CDATA[Dewi Ismiarti]]>
<![CDATA[ Jurnal Riset Mahasiswa Matematika Vol 1, No 4 (2022): Jurnal Riset Mahasiswa Matematika ]]>
Publisher : <![CDATA[Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang ]]>
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DOI: 10.18860/jrmm.v1i4.14464
<![CDATA[The space l^p with 1≤p∞ is the set of real numbers that satisfy _(n=1)^∞▒〖|x_n |^p∞〗.The function in the vector space X which has real value which fulfills the norm-2 properties is denoted by ,⋅‖ and the pair (X,‖⋅,⋅‖) is called the norm-2 space.A norm-2 space is said to be complete or called a Banach-2 space if every Cauchy sequence in the space converges to an element in that space.This research was conducted to prove the l^p space in the complete norm-2.The first step to prove the completeness is to prove that the norm contained in l^p with 1≤p∞ satisfies the properties of norm-2.Next, prove that the norm derived from norm-2 is equivalent to the norm in l^p.Next shows that every Cauchy sequence in space l^p converges to an element in space l^p.Based on this proof, it is found that (l^p,‖⋅,⋅‖) is a complete norm-2 space.]]>
<![CDATA[Implementasi Metode Beda Hingga Tak Standar untuk Model Penyebaran Campak ]]>
<![CDATA[Ilfa Wardatul Rizqyah]]>;
<![CDATA[Ari Kusumastuti]]>;
<![CDATA[Heni Widayani]]>
<![CDATA[ Jurnal Riset Mahasiswa Matematika Vol 1, No 3 (2022): Jurnal Riset Mahasiswa Matematika ]]>
Publisher : <![CDATA[Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang ]]>
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DOI: 10.18860/jrmm.v1i3.14307
<![CDATA[The measles distribution model is a system of differential equations that is included in a continuous dynamic system. This research focuses on transforming the continuous form into discrete form by discretization using non-standard finite difference and stability analysis which is then carried out by numerical simulations to prove its stability graphically. Based on the analysis, it is found that the measles distribution model which is assumed to have two fixed points, namely the disease-free fixed point (R_01) and the endemic fixed point (R_01), is stable. The stability of the two fixed points is proven by the Schur-Cohn criteria and is obtained stable with the condition 0ϕ(h)≤5 which meets the value of h0. The results of the numerical simulation show that the measles distribution model is dynamically consistent and tends to the fixed point. In addition, numerical simulations show that the larger the value of h, the more the graph tends to the fixed point. ]]>
