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CLUSTERING BASED ON BETWEENNESS CENTRALITY IN PERIOD: TRANSFORMATION OF CORRELATION COEFFICIENT VALUE INTO DISTANCE IN MATRIC SPACE Yudhanegara, Mokhammad Ridwan; Nugraha, Edwin Setiawan; Sylviani, Sisilia; Lestari, Karunia Eka; Bonyah, Ebenezer
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 19 No 2 (2025): BAREKENG: Journal of Mathematics and Its Application
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/barekengvol19iss2pp1109-1118

Abstract

The main information of this research is the transformation of the correlation coefficient value for stock price into the distance. It is done to create a representation in metric space that can be used in cluster analysis on the correlation network, which is a dynamic network. The dynamic network is generated from the weighted edges in the form of distances in each period. Finding the cluster members of the network can be analyzed using a simple technique called a minimum spanning tree. The central cluster member is the vertex betweenness. Vertex betweenness represents banking companies with a high degree of proximity and correlation. It means that the banks that are members of the central cluster are banks with high investment value. Clustering based on betweenness centrality in the case study of stock price correlation becomes useful when transforming the value of the correlation coefficient to distance. The effort to build a network with the edge weight being the distance makes the minimum spanning tree a simple, valuable method for cluster analysis on bank stock prices. In particular, the benefit to investors, i.e., it can reveal which assets are closely correlated, indicating that they may respond to market events in a similar way and make decisions in stock purchases
Tucker3 Tensor Decomposition for the Standardized Residual Hypermatrix on Three-Way Correspondence Analysis Lestari, Karunia Eka; Yudhanegara, Mokhammad Ridwan; Nugraha, Edwin Setiawan; Sylviani, Sisilia
Journal of the Indonesian Mathematical Society Vol. 31 No. 2 (2025): JUNE
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.v31i2.1491

Abstract

This study investigates the theoretical and practical mathematical aspects of Tucker3 tensor decomposition from the three-way correspondence analysis point of view. Since the standardized residual hypermatrix represents the association of the three categorical variables, this study focused on (1) Tucker3 tensor decomposition for the standardized residual hypermatrix, (2) some mathematical properties of Tucker3 tensor decomposition, and (3) constructing the correspondence plot via Tucker3 tensor decomposition. Some mathematical results are presented in lemmas, theorems and algorithms, while a practical result is exhibited at the end of the discussion.
Analisis Algoritma Greedy untuk Mewarnai Graf Pernanda Putra, Hazel; Sylviani, Sisilia; Candra Permana, Fahmi
Diophantine Journal of Mathematics and Its Applications Vol. 3 No. 1 (2024)
Publisher : UNIB Press

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33369/diophantine.v3i1.32261

Abstract

Graph coloring is one of the problems in graph theory. In graph theory, a greedy algorithm is a common algorithms in solving a problem. Greedy algorithms can be used for graph coloring; however, not all of the graph coloring problems that this algorithm uses can optimum outcomes globally. The selection of node sequencing used during the search also affects the success of the greedy algorithm in dealing with graph coloring cases. However, the use of greedy algorithms still helps reduce the number of colors used in non-directed graph coloring.
Application of Number Theory in the Guess Year of Birth Game Hermawan, Aldi; Kurniadi, Edi; Sylviani, Sisilia
Indonesian Journal of Applied Mathematics and Statistics Vol. 2 No. 1 (2025): Indonesian Journal of Applied Mathematics and Statistics (IdJAMS)
Publisher : Lembaga Penelitian dan Pengembangan Matematika dan Statistika Terapan Indonesia, PT Anugrah Teknologi Kecerdasan Buatan PT Anugrah Teknologi Kecerdasan Buatan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.71385/idjams.v2i1.15

Abstract

Number theory is a field of mathematics in which numbers are discussed. There are many developments in this theory. Among them are divisibility, modulo, inverse modulo, congruence and Chinese Remainder Theorem. This research focuses on divisibility and the Chinese Remainder Theorem. What is explained in more detail is a study of several divisibility properties and the application of the Chinese Remainder Theorem to the birth year guessing game. This game is quite popular among middle and high school students. Then, it also explains the technicalities and formulas used in the game to be able to guess the number or year of birth in question. The main finding of these work are prove several divisibility properties and the application of the Chinese Remainder Theorem in the guess year of birth game.
Implementation of Combination RSA, Vigenere Cipher, and Permutation Cipher in Digital Communication Tielung, M. Fariel Fahriza; Kurniadi, Edi; Sylviani, Sisilia
Indonesian Journal of Applied Mathematics and Statistics Vol. 2 No. 1 (2025): Indonesian Journal of Applied Mathematics and Statistics (IdJAMS)
Publisher : Lembaga Penelitian dan Pengembangan Matematika dan Statistika Terapan Indonesia, PT Anugrah Teknologi Kecerdasan Buatan PT Anugrah Teknologi Kecerdasan Buatan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.71385/idjams.v2i1.18

Abstract

In the digital era, data security is essential for preventing unwanted access to information. To improve message security, this study intends to apply a mixture of three cryptographic algorithms: RSA, Vigenere cipher, and permutation cipher. The Vigenere and permutation ciphers are used to the message content to add an extra degree of security, while the RSA technique is utilized for asymmetric key encryption. In this system, the Vigenere cipher and permutation cipher, is used to encrypt the message, followed by RSA is used to encrypt the Vigenere process key. According to test results, combining these three techniques strengthens the cryptographic defenses against frequency analysis and brute force assaults by increasing their complexity. Although the combination lengthens the processing time, the resulting security is higher than the application of a single method. This system is expected to be applied to applications that require the protection of sensitive data with a high level of security.
Development of the “Sehat Tanpa Depresi” Explainer Animation as a Mental Health Education Media for Adolescents Permana, Fahmi Candra; Albari, Fardan Barkah; Sari, Intan Permata; Sylviani, Sisilia
Journal of Software Engineering, Information and Communication Technology (SEICT) Vol 6, No 1: June 2025
Publisher : Universitas Pendidikan Indonesia (UPI)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.17509/seict.v6i1.84722

Abstract

Going through a transitional time in their adolescence makes many Indonesians more susceptible to depression. When people do not realize how important mental health is, depression can grow in popularity. They can be a suitable way to explain what depression is. Many believe that using explainer animations helps share these messages interestingly and easily. This project plans to produce an explainer animation named “Sehat Tanpa Depresi” for teaching mental health to adolescents and to check how effective it is. Using the Design and Development (DD) approach with the N.J. Manson model, the research consisted of five parts: problem awareness, suggestions, product development, evaluation and conclusion. Experts tested and reviewed the developed media, finding it met 91.45% of the requirements, offered 91.11% proper media and was evaluated by 83.8% of users. According to these findings, the explainer animation works well and is suitable for teaching mental health to teenagers.
Application of Module Structure to Coding Theory: A Systematic Literature Review Faldiyan, Muhammad; Sylviani, Sisilia
Jurnal Matematika Integratif Vol 21, No 1: April 2025
Publisher : Department of Matematics, Universitas Padjadjaran

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24198/jmi.v21.n1.60276.103-112

Abstract

A systematic literature review is a research process that identifies, evaluates, and interprets all relevant study findings connected to specific research questions, topics, or phenomena of interest. In this work, a thorough review of the literature on the issue of the link between module structure and coding theory was done. A literature search yielded 470 articles from the Google Scholar, Dimensions, and Science Direct databases. After further article selection process, 14 articles were chosen to be studied in further depth. The items retrieved were from the previous ten years, from 2012 to 2022. The PRISMA analytical approach and bibliometric analysis were employed in this investigation. A more detailed description of the PRISMA technique and the significance of the bibliometric analysis is provided. The findings of this study are presented in the form of brief summaries of the 14 articles and research recommendations. At the end of the study, recommendations for future development of the code structure utilized in the articles that are further investigated are made
PENGGUNAAN MATRIKS ORDO 7X4 DAN HILL CIPHER DALAM MODIFIKASI METODE PLAYFAIR CIPHER Sylviani, Sisilia; Permana, Fahmi Candra
Jurnal Edukasi dan Sains Matematika (JES-MAT) Vol. 10 No. 1 (2024): Jurnal Edukasi dan Sains Matematika (JES-MAT)
Publisher : Department of Mathematics Education, Universitas Kuningan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25134/jes-mat.v10i1.9191

Abstract

Artikel ini membahas tentang modifikasi Playfair Cipher dan penggabungan dengan Hill cipher. Modifikasi Playfair Cipher dilakukan dengan mengubah matriks playfair 5x5 menjadi matriks 7x4 dimana disertakan simbol “*” dan “#”. Matriks 7x4 ini membuat korespondensi satu ke satu antara plaintext dan ciphertext yang membuat proses enkripsi dan dekripsi jauh lebih mudah dan tidak menimbulkan keambiguan. Teks lebih tidak mudah terbaca saat muncul simbol-simbol ini dalam ciphertext. Setelah dilakukan enkripsi dengan metode playfair, selanjutnya akan diteruskan dengan metode hill cipher dengan bilangan modulo 28. Ciphertext yang dihasilkan akan lebih beragam dibandingkan sebelumnya dan proses enkripsi dan dekripsi lebih rumit.
CORRESPONDENCE ANALYSIS ON STATISTICAL LITERACY AND GENDER: EMBEDDING E-CAMPUS PLATFORM WITH RANDOM ASSIGNMENT OF MATCHED SUBJECT IN EXPLANATORY ANALYSIS Lestari, Karunia Eka; Risnawita, Risnawita; Yudhanegara, Mokhammad Ridwan; Nugraha, Edwin Setiawan; Sylviani, Sisilia
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 18 No 3 (2024): BAREKENG: Journal of Mathematics and Its Application
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/barekengvol18iss3pp1975-1988

Abstract

This study aims to evaluate the embedding of e-campus platforms during the pandemic in dealing with gender disparities in statistical literacy and shed light on the association structure between statistical literacy and gender disparities. A mixed methods approach with sequential explanatory analysis was performed among 42 pairs (man-woman) sample of sophomore students enrolled in the Inferential Statistics course selected from a random assignment of matched subjects. The two main instruments, the placement test, and the statistical literacy test, were analyzed quantitatively using the Mann-Whitney test and correspondence analysis, followed by qualitative analysis using image and text analysis. The findings reveal that the e-campus platform has increased women's statistical literacy. Specifically, there is a statistically significant difference (1) between men's and women's statistical literacy scores, (2) an association between statistical literacy level and gender, and (3) different tendencies between men's and women's statistical literacy in various ways. The e-campus platform is an excellent solution for the teaching and learning process during the COVID-19 pandemic and beyond. Likewise, it can overcome gender disparities in literacy statistics. Since these findings lead to a higher statistical literacy rate for women than men, this could break the stereotype that women are less statistically literate than men.
RETROSPECTIVE ANALYSIS IN HYPOTHESIS TESTING TO EVALUATE INDONESIA'S GINI RATIO AFTER COVID-19 PANDEMIC Lestari, Karunia Eka; Agustina, Fitriani; Yudhanegara, Mokhammad Ridwan; Nugraha, Edwin Setiawan; Sylviani, Sisilia
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 18 No 4 (2024): BAREKENG: Journal of Mathematics and Its Application
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/barekengvol18iss4pp2517-2530

Abstract

The study highlighted three essential roles of retrospective analysis in hypothesis testing, particularly as a priori analysis, post hoc analysis, and sensitivity analysis. These approaches were applied to the Gini ratio data sourced from the National Socioeconomic Survey Indonesia 2023 to examine the income inequality level in Indonesia. The sample size, statistical power, and effect size for the one-sample t-test are evaluated by aid G*Power software. The test results show that for a sample size of 10, at the 95% confidence interval, there is not enough evidence to show that the Gini ratio in 2023 is smaller than 0.4. A retrospective analysis using G*power software reveals that for a sample size of 20 at the same confidence interval, there is enough evidence to suggest that the Gini ratio is statistically significant at less than 0.4 with a power of analysis of 90.8% and an effect size of 0.76. This study has important implications in hypothesis testing, especially in retrospective analysis, since understanding the effect of sample size and effect size makes it possible for academics or practitioners to optimize hypothesis testing and generate more accurate and reliable test results.