cover
Contact Name
Windarto
Contact Email
windarto@fst.unair.ac.id
Phone
+62315936501
Journal Mail Official
conmatha@fst.unair.ac.id
Editorial Address
Study Program of Mathematics, Department of Mathematics, Faculty of Science and Technology, Universitas Airlangga, Indonesia Kampus C UNAIR Jl. Mulyorejo Surabaya, Jawa Timur 60115
Location
Kota surabaya,
Jawa timur
INDONESIA
Contemporary Mathematics and Applications (ConMathA)
Published by Universitas Airlangga
ISSN : -     EISSN : 26865564     DOI : https://doi.org/10.20473/conmatha
Core Subject : Science, Education,
Contemporary Mathematics and Applications welcome research articles in the area of mathematical analysis, algebra, optimization, mathematical modeling and its applications include but are not limited to the following topics: general mathematics, mathematical physics, numerical analysis, combinatorics, optimization and control, operation research, statistical modeling, mathematical finance and computational mathematics.
Articles 82 Documents
The Illusion of Permanence: A Superposition Model of Technology Adoption and Displacement with Closed-Form Conditions for Peak Deception Farai Nyabadza
Contemporary Mathematics and Applications (ConMathA) Vol. 8 No. 2 (2026)
Publisher : Universitas Airlangga

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20473/conmatha.v8i2.89507

Abstract

Technologies that attain high adoption on a given value axis, the dimension of human need they address, frequently exhibit what we term the ‘illusion of permanence’: a local adoption maximum that observers systematically misinterpret as a stable equilibrium. We formalise this phenomenon through the Adoption-Decay Superposition Model (ADSM), in which each technology’s market share is expressed as the product of a logistic growth term and an exponential decay envelope activated by the emergence of a superior competitor. We derive the Illusion Point, the exact moment at which adoption is maximised and the impending decline is least visible. From this we introduce two derived indices; the Illusion Strength Index (ISI) and the Displacement Susceptibility (DS). Formal theorems establish that every technology with a positive decay parameter must eventually relinquish dominance, and that switching costs prolong the illusion without averting it. Four empirical cases, SMS, the ‘Please Call Me’ callback feature, BlackBerry Messenger, and the fax machine, are parametrised and simulated in MATLAB. A Conservation Principle is stated, linking individual technology decline to the bounded capacity of any shared value axis. The model provides a foundation for anticipating displacement, evaluating technological lock-in, and understanding why dominant technologies consistently fail to foresee their own decline.
Analysis of Music Genre Trends on Spotify Indonesia Using the Louvain Algorithm (Top 100 Songs, May 2025) Silfiatis Sabila Azra Shofa; Siti Amiroch
Contemporary Mathematics and Applications (ConMathA) Vol. 8 No. 2 (2026)
Publisher : Universitas Airlangga

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20473/conmatha.v8i2.92131

Abstract

Digital music streaming platforms have transformed the way audiences consume music, making Spotify one of the leading sources for analyzing music popularity and listening trends. This study investigates music genre trends in the Spotify Indonesia Top 100 dataset for May 2025 using a graph-based community detection approach. Songs were represented as nodes connected through genre similarity and normalized popularity attributes, including Streams, Total Streams, and Days on Chart. A weighted graph was constructed using Euclidean distance and inverse-distance similarity, after which communities were detected using the Louvain algorithm. The detected communities were further analyzed according to genre composition and streaming performance, while community quality was evaluated using modularity. The results identified 15 communities with a modularity value of 0.776, indicating a well-defined community structure. Although genre information was incorporated during graph construction, the detected communities were also influenced by similarities in popularity characteristics, revealing structural relationships beyond simple genre classification. Based on accumulated Total Streams, Indie Pop, Pop, and Pop Rock emerged as the dominant genres in the analyzed dataset. These findings demonstrate that graph-based community detection provides additional insights into song connectivity and genre organization that cannot be obtained through conventional descriptive aggregation alone.