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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180 Documents
<![CDATA[Penyelesaian Sistem Persamaan Hukum Laju Reaksi dengan Metode Transformasi Differensial ]]>
<![CDATA[Maftuhah, Siti]]>;
<![CDATA[Widayani, Heni]]>;
<![CDATA[Kusumastuti, Ari]]>
<![CDATA[ Jurnal Riset Mahasiswa Matematika Vol 2, No 4 (2023): Jurnal Riset Mahasiswa Matematika ]]>
Publisher : <![CDATA[Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang ]]>
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DOI: 10.18860/jrmm.v2i4.16805
<![CDATA[This research is focused on solving the rate law equation by using the differential transformation method. The rate law equation describes the chemical reaction problem from the concentration of a reactant that produces a product. The differential transformation method is a semi-analytic numerical method that can provide approximate solutions in the form of a series because the method is obtained from the expansion of the Taylor series expansion. With the help of Maple software, a comparison of the solution plots of y_1 (t),y_2 (t) and y_3 (t), can be observed that the difference in computational results between the Runge-kutta method and the differential transformation depends on the order of k. The curve of the differential transformation method is getting closer to the curve of the Runge-Kutta method at a certain value of k for each y_1 (t),y_2 (t) and y_3 (t). The conclusion of this research is that the application of the differential transformation method has been successfully carried out in the case of a system of ordinary differential equations. For further research, the researcher suggests that the next research applies the method of differential transformation in cases and initial values that are more varied.]]>
<![CDATA[Operator Integral Fraksional yang diperumum pada Ruang Morrey yang diperumum ]]>
<![CDATA[Putri, Safira Nur Aulia]]>;
<![CDATA[Rahman, Hairur]]>;
<![CDATA[Nasichuddin, Achmad]]>
<![CDATA[ Jurnal Riset Mahasiswa Matematika Vol 3, No 3 (2024): Jurnal Riset Mahasiswa Matematika ]]>
Publisher : <![CDATA[Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang ]]>
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DOI: 10.18860/jrmm.v3i3.16973
<![CDATA[The fractional integral operator or Riesz operator is a finite operator of the Lebesgue space. This fractional integral operator maps any real-valued function into the integral form of the fractional integral function. Morrey space is a collection of general form member functions of Lebesgue space. In this study, we will discuss the generalized fractional integral operator on a generalized Morrey space. The proof will be done using partitioned. It can be concluded that the generalized fractional integral operator on Morrey space generalized to Theorem A and Theorems B .]]>
<![CDATA[Analisis Dinamik Model Predator-Prey dengan Faktor Kanibalisme Pada Predator ]]>
<![CDATA[Safitri, Dwi]]>;
<![CDATA[Widayani, Heni]]>;
<![CDATA[Pagalay, Usman]]>
<![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.v1i2.14019
<![CDATA[Kajian dinamika populasi predator-prey di suatu ekosistem dengan adanya kanibalisme pada predator dilakukan pada penelitian ini. Ketika ada kanibalisme di tingkat predator dikhawatirkan populasi predator itu akan menurun atau terjadi kepunahan, sehingga populasi prey menjadi tidak terkontrol dan akan terjadi ketidakseimbangan ekosistem. Oleh karena itu, pada penelitian ini dibangunlah model matematika predator-prey dengan faktor kanibalisme pada predator berbentuk sistem persamaan diferensial biasa non linier dengan tiga persamaan. Pada model predator-prey tersebut ditemukan dua titik kesetimbangan yang memiliki kemungkinan stabil yaitu titik kesetimbangan ketika tidak ada prey dan titik kesetimbangan ketika kedua spesies eksis di ekosistem tersebut . Hasil sensitivitas analisis menunjukkan bahwa sifat kestabilan lokal dari titik maupun bergantung pada parameter kanibalisme yakni dan . Lebih lanjut, untuk titik telah dibuktikan sifat kestabilan global menggunakan fungsi lyapunov. Hasil simulasi numerik mengilustrasikan hasil analisa yang sudah diperoleh, sehingga ditemukan kemungkinan terjadinya limit cycles yang menandakan adanya bifurkasi hopf.]]>
<![CDATA[Enkripsi dan Dekripsi Pesan Menggunakan Polinomial Galois Field dengan Algoritma Hill Cipher ]]>
<![CDATA[Vega, Amelia]]>;
<![CDATA[Sujarwo, Imam]]>;
<![CDATA[Khudzaifah, Muhammad]]>
<![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.v2i2.15150
<![CDATA[An information is extremely easy to obtain when technology is evolving so fast and it is important to secure the information to avoid irresponsible parties who want to abuse it. Messages that are not safe will harm the owner of the message, therefore a lot of research is related to message security. This study aims to deepen the message security in encoded form using Galois Field polynomials with one of the symmetric encryption algorithms, namely the Hill Cipher algorithm. Encryption is the process of converting a message into a secret code while decryption is the reverse process. The encryption and decryption process in this discussion is carried out by changing the message character into Galois Field polynomial form, then operating calculations based on the Hill Cipher algorithm, and then changing the results of the calculation operations into character form again. Based on the modifications have been made, the encryption and decryption formulas will be multiplied by modulo in polynomials form. In this study, the encryption and decryption keys are in matrix form with elements in it are members of the Galois Field polynomial and the result is a random message of 256 characters in binary bit-8. From this research, we gain insight into the encoding that can be done using polynomials which can be used later in other forms of encoding.]]>
<![CDATA[Implementasi Backpropagation Neural Network pada Prediksi Jumlah Penjualan Toyota Avanza di Indonesia ]]>
<![CDATA[Mufinnun, Nur Fatin]]>;
<![CDATA[Rahman, Hairur]]>;
<![CDATA[Jauhari, Mohammad Nafie]]>
<![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.v1i6.14594
<![CDATA[Prediction is a branch of science that is used to predict events that may occur in the future based on past events. One of the developed prediction methods, Backpropagation Neural Network, a method that has a good level of effectiveness. This study aims to determine the model and the accuracy of the model in predicting the total sales of the Toyota Avanza and to find out the results of sales predictions for the next 12 months by analyzing the number of sales in January 2010 to October 2021. The prediction model for the number of Toyota Avanza sales using the Backpropagation Neural Network is 12-13-1, where there are 12 variables in the input layer, 13 variables in the hidden layer and 1 variable in the output layer with a learning rate value of 0.5 and momentum 0. The predictions for the number of Toyota Avanza sales for 12 months are at an average upper limit of 6215 and an average lower limit of 3415 with a MAPE value of 9,39135%, so that the model can be said to be very good. ]]>
<![CDATA[Ketaksamaan Operator Integral Fraksional yang Diperumum pada Ruang Morrey Tak Homogen yang Diperumum ]]>
<![CDATA[Azizah, Siti Rohmah]]>;
<![CDATA[Rahman, Hairur]]>;
<![CDATA[Nasichuddin, Achmad]]>
<![CDATA[ Jurnal Riset Mahasiswa Matematika Vol 3, No 5 (2024): Jurnal Riset Mahasiswa Matematika ]]>
Publisher : <![CDATA[Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang ]]>
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DOI: 10.18860/jrmm.v3i5.16970
<![CDATA[A Fractional integral operator is one of the operators in mathematical analysis. Fractional integral operator itself maps any real-valued function into the integral form of the division of the at function. One of the expansion of fractional integral operator is generalized fractional integral operator. Morrey space is an extension of Lebesgue space. Morrey space is the set of all Lebesgue measurable functions, whose norm is finite over Morrey space. In this study, we will discuss the inequalities of the generalized fractional integral operator on a generalized non-homogeneous Morrey space. We proved of this inequality using the Chebyshev inequality and the Holder inequality.]]>
<![CDATA[Analisis Kepuasan Mahasiswa Terhadap Perkuliahan Online ]]>
<![CDATA[Pujilestari, Sri]]>;
<![CDATA[Harini, Sri]]>;
<![CDATA[Munah, Nailul]]>
<![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.v1i5.14174
<![CDATA[This study aims to determine the level of student satisfaction with online lectures during the Covid-19 pandemic which is still ongoing today. Variables measuring student satisfaction with online lectures are limited to aspects of learning including lecture facilities, learning media, and the implementation of online lectures. This research method uses descriptive analysis techniques. Data was collected using a questionnaire, then the data was analyzed using statistical tests to determine the validity and reliability of the instrument, multicollinearity test, and ordinal logistic regression analysis and regression parameter tests at the 95% confidence level. Based on the test results the instrument is declared valid and reliable, and the obtained regression model is feasible to use. The results of the interpretation of the model lead to conclusions, (a) the probability of students who are satisfied with online lectures in the aspect of lecture facilities is 2.21 times compared to students who are not satisfied; (b) the probability of students being satisfied with online lectures in the aspect of learning media is 1.53 times compared to students who are dissatisfied; and (c) the probability of students being satisfied with online lectures in the aspect of lecture implementation is 2.28 times compared to students who are not satisfied.]]>
<![CDATA[Penerapan Graf Berarah dan Berbobot untuk Mengetahui Inluencer yang Paling Berpengaruh dalam Penyebaran Informasi pada Twitter ]]>
<![CDATA[Rafi' Addani, Aisyah]]>;
<![CDATA[Turmudi, Turmudi]]>;
<![CDATA[Sujarwo, Imam]]>
<![CDATA[ Jurnal Riset Mahasiswa Matematika Vol 2, No 5 (2023): Jurnal Riset Mahasiswa Matematika ]]>
Publisher : <![CDATA[Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang ]]>
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DOI: 10.18860/jrmm.v2i5.16810
<![CDATA[A graph is a non-empty set whose members are vertices and edges, where the edges connect several pairs of these vertices; likewise, social media connects users with each other through interests, relationships, likes and dislikes. The rapid development of technology in the era of globalization has made social media a more effective source of information, one of them is Twitter which has been used by 280 million people in the world. This research involves 100 Twitter users who are classified as Influencers in Indonesia who have more than 10,000 followers by visualizing their relationship with other users followed by them with a directed and weighted graph. First, the data is filtered using the Twecoll script in Python software, then the data is visualized using the Gephi software in the form of a directed and weighted graph. The centrality value is calculated to determine the influential influencers in spreading information on the network. Based on the results of the study, it was found that the network pattern of 100 Influencers that had been collected in the following list of @dearmyths accounts, there were 96 points and 1883 sides with the side having the highest weight being @detikcom, followed by @ivanlanin and @ernestprakasa through the results of centrality calculations as accounts that can disseminate information on the network.]]>
<![CDATA[Implementasi Algoritma Rivest Shamir Adleman atas Ring Dedekind ]]>
<![CDATA[Ladunniyyah, Zakiyya Dzul]]>;
<![CDATA[Khudzaifah, Muhammad]]>;
<![CDATA[Herawati, Erna]]>
<![CDATA[ Jurnal Riset Mahasiswa Matematika Vol 3, No 4 (2024): Jurnal Riset Mahasiswa Matematika ]]>
Publisher : <![CDATA[Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang ]]>
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DOI: 10.18860/jrmm.v3i4.25407
<![CDATA[The issue of security and confidentiality of data or messages is very important so efforts are needed to maintain the security and confidentiality of messages, one of which is with cryptography. This study aims to determine the implementation of the RSA algorithm over the Dedekind ring to secure text messages. This implementation is done by modifying the key formation, encryption, and decryption processes of the RSA cryptographic algorithm to match the Dedekind ring used. The research stage carried out is to form a key on the RSA algorithm over the Dedekind ring, then construct an encryption and decryption algorithm to secure messages with RSA over the Dedekind ring. From this research, results were obtained in the form of an RSA message encoding algorithm in accordance with the Dedekind ring where the Dedekind ring was used in the key formation process. Furthermore, the encryption and decryption process is carried out with the RSA algorithm. The conclusion of this study is that the implementation of the RSA algorithm over the Dedekind ring can produce a wider public key where the public key used is any member number of the set of maximal ideal products on the Dedekind ring.]]>
<![CDATA[Perbandingan Tingkat Akurasi Metode Average Based Fuzzy Time Series Markov Chain dan Algoritma Novel Fuzzy Time Series ]]>
<![CDATA[Al-adawiyah, Syavira Habib]]>;
<![CDATA[Alisah, Evawati]]>;
<![CDATA[Aziz, Abdul]]>
<![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.v1i3.14332
<![CDATA[Fuzzy time series method can be applied in predicting the situation in food price development data such as rice. The position of rice as a staple food has resulted in this commodity being one of the indicators of economic growth. The importance of suppressing rice prices so that they are stable can be done by forecasting rice prices in Indonesia in the future. The research method used for forecasting is average based fuzzy time series Markov chain and novel algorithms fuzzy time series. Researchers will compare the two methods in the case of rice prices by looking at the level of accuracy that is better. The data used in this study is the average monthly rice price at the wholesale trade level from January 2015 to March 2021 in units of Rp/Kg as much as 75 data. The results of the comparison of the level of accuracy using the value of Mean Absolute Percentage Error (MAPE), obtained the forecast of the average price of rice at the Indonesian wholesale trade level for average based fuzzy time series Markov chain which is 0.36%, while the MAPE value for novel algorithm fuzzy time series is 0.19%. Based on the MAPE results, it can be concluded that the novel algorithm method fuzzy time series produces a better level of accuracy compared to the method average based fuzzy time series Markov chain.]]>
