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Contemporary Mathematics and Applications (ConMathA)
Published by Universitas Airlangga
ISSN : -     EISSN : 26865564     DOI : https://doi.org/10.20473/conmatha
Core Subject : Science, Education,
Materials Science & Nanotechnology Mathematics
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.
Arjuna Subject : Matematika - Matematika (Lain-Lain)
Articles 71 Documents
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Eksplorasi Etnomatika dalam Tatanan Bangun Ruang dan Bangun Datar Pada Kawasan Alun-Alun Kota Surabaya Yuliati, Dian; Salsabila; Achmad Fachril Yusuf Ababil; Sharenada Norisdita Wahyudi; Moh. Aditya Sirojul Hilmi; Panreshma Rizkha Ambadar
Contemporary Mathematics and Applications (ConMathA) Vol. 6 No. 1 (2024)
Publisher : Universitas Airlangga

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20473/conmatha.v6i1.53140

Abstract

Mathematics is a science that has been studied from elementary to high school and continues to be developed up to university. Mathematical concepts can be linked to social and cultural concepts called ethnomathematics. Ethnomathematics in community life can be implemented in the form of buildings. This research aims to explore geometric shapes and explain mathematical concepts in the Surabaya City Square building as an effort to help understand geometric concepts in flat shapes and spatial shapes. The method used in this research is a qualitative method with an ethnographic approach and literature study. The research results show that Surabaya City Square is a historic building that implements geometric concepts in terms of buildings. Mathematical concepts in the shape of the Surabaya City Square building include the concept of flat shapes consisting of rectangles, triangles, trapezoids, circles and ellipses, as well as the concept of spatial shapes consisting of triangular prisms, blocks, tubes and balls. It is hoped that this research can provide understanding and make learning interesting, especially in mathematics.
Analysis of the Stability of the Tuberculosis Disease Spread Model Wahyu Dewanti, Retno
Contemporary Mathematics and Applications (ConMathA) Vol. 6 No. 1 (2024)
Publisher : Universitas Airlangga

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20473/conmatha.v6i1.53836

Abstract

This paper discusses the stability analysis of the model for the spread of tuberculosis and the effects of treatment. The authors analyze the dynamic behavior of the model to investigate the local stability properties of the model equilibrium point. The Routh-Hurwitz criterion is used to analyze local stability at the disease-free equilibrium point, while the Transcritical Bifurcation theorem is used to investigate the local stability properties of the endemic equilibrium point. The results of the discussion show that the stability properties of the equilibrium point depend on the value of the basic reproduction number which is calculated based on the Next Generation Matrix (NGM). When the basic reproduction number value is less than one, then the disease-free equilibrium point is locally asymptotically stable, whereas if it is more than one, then the endemic equilibrium point is locally asymptotically stable. Numerical simulations are included to explain the dynamic behavior of disease spread and to understand the effectiveness of tuberculosis treatment in a given population. The simulation results show that treatment in the infected individual phase is known to be more effective than treatment in latent individuals.
Prediksi Inflasi, Tingkat Suku Bunga, dan Nilai Ekspor dengan Vector Autoregressive dan Estimator Deret Fourier Simultan Lu'lu'a, Na'imatul; Haq, Affan Fayzul; Fitri, Marfa Audilla; Mardianto, M. Fariz Fadillah; Pusporani, Elly
Contemporary Mathematics and Applications (ConMathA) Vol. 6 No. 1 (2024)
Publisher : Universitas Airlangga

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20473/conmatha.v6i1.54128

Abstract

In the face of global economic uncertainty, predictions of the value of inflation, interest rates, and the value of exports are becoming increasingly crucial. This is also closely related to the SDGs in goals 8 and 9, namely on Decent Work and Economic Growth as well as Industry, Innovation, and Infrastructure. This study discusses the use of Vector Autoregressive (VAR) methods and Fourier series estimators to improve the accuracy of predictions of these economic variables. The data used are the inflation, export value, and BI Rate sourced from Bank Indonesia and Badan Pusat Statistik with a monthly period and starting from the beginning of 2010 to September 2023. After analysis, the best method was obtained, namely the Fourier series estimator which included cosine and sine components with oscillation parameters 6 with MAPE 1.51% on the inflation value, 1.65% on the interest rate, and 3.03% on the export value. By considering the interaction between economic variables, the prediction results are expected to provide deeper understanding, support decision-making at the macroeconomic level, and assist governments, central banks, and market participants in identifying risks and planning export strategies.
Model Petri Net Pengajuan KKN Mahasiswa Universitas Lampung Hamzah, Nur; Sholehurrohman, Ridho; Sutawa, Wira Adiguna; Hana, Lathifatul
Contemporary Mathematics and Applications (ConMathA) Vol. 6 No. 1 (2024)
Publisher : Universitas Airlangga

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20473/conmatha.v6i1.54518

Abstract

The Petri Net (PN) model is a powerful mathematical representation for describing dynamic systems involving processes, states, and interactions between its elements. The use of the Petri Net Model has been applied in various contexts, in this research the Petri Net is used to represent the KKN (Real Work Lecture) application flow for students at the University of Lampung. This modeling provides a clear visual representation of the steps required, the stages that must be passed, and the relationships between elements in the KKN application process. This Petri Net Model analysis helps in identifying potential points that can cause delays or errors in the KKN application process. With a better understanding of inter-entity interactions and process flows, improvements and optimization of KKN application procedures can be implemented. The research results show that the use of the Petri Net Model in the context of KKN applications for Lampung University students has great potential to increase efficiency, reduce errors, and speed up the application process.
Dimensi Partisi pada Graf Hasil Operasi Korona Tingkat-k Amalia, Rica; Ummi Nur Yatun Hasanah; Faisol; Tony Yulianto; Kuzairi
Contemporary Mathematics and Applications (ConMathA) Vol. 6 No. 1 (2024)
Publisher : Universitas Airlangga

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20473/conmatha.v6i1.54748

Abstract

Graph theory is one of the subjects in Discrete Mathematics that have long been known and are widely applied in various fields. The topics that are often discussed in graph theory include labeling, coloring, chromatic numbers, metric dimensions, and partition dimensions. Partition dimensions are obtained by grouping all the vertices on the graph into a number of partition classes, then determine the distance of all vertices to each partition class to get a representation. Partition class which representations have different coordinate vectors is called resolving partition. The minimum cardinality of resolving partition is called partition dimensions of the graph. The purpose of this study is to determine the partition dimensions of level corona operation graphs which are GʘkPm, GʘkCm and GʘkKm, where G, Pm, Cm and Km are connected non trivial graph, path graph, circle graph and complete graph respectively, and any integer k≥1.
Biplot Analysis of Life Satisfaction Dimensions in the Happiness Index Bimo Okta Syahputra; Rachma Hikmaya; Nabila Angel Nafisha; Immanuel Alexander Sirait; M. Fariz Fadillah Mardianto; Dita Amelia; Elly Anna
Contemporary Mathematics and Applications (ConMathA) Vol. 6 No. 2 (2024)
Publisher : Universitas Airlangga

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20473/conmatha.v6i2.53931

Abstract

The main goal of every individual in life is to achieve happiness, a subjective concept. To measure happiness, one approach used is the life satisfaction dimension. In multivariate analysis, the biplot method emerges as a useful tool to map variables and objects of observation simultaneously in a two-dimensional graph. This study was conducted with the aim of analyzing biplots on the happiness index, with the dimension of life satisfaction as the main variable. The data used comes from the Central Bureau of Statistics (BPS), specifically related to the Life Satisfaction Dimension of the Happiness Index in 2021. By conducting careful biplot analysis, the pattern of relationships between provinces in the context of happiness can be revealed. The results of the biplot analysis show that provinces in the same quadrant have closer similarities in happiness characteristics than provinces in different quadrants.
Molecular Topology Index of a Zero Divisor Graph on a Ring of Integers Modulo Prime Power Order Satriawan, Didit; Aini, Qurratul; Abdurahim; Maulana, Fariz; Wardhana, I Gede Adhitya Wisnu
Contemporary Mathematics and Applications (ConMathA) Vol. 6 No. 2 (2024)
Publisher : Universitas Airlangga

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20473/conmatha.v6i2.54737

Abstract

In chemistry, graph theory has been widely utilized to address molecular problems, with numerous applications in graph theory and ring theory within this field. One of these applications involves topological indices that represent chemical structures with numerical values. Various types of topological indices exist, including the Wiener index, the first Zagreb index, and the hyper-Wiener index. In the context of this research, the values of the Wiener index, the first Zagreb index, and the hyper-Wiener index for zero-divisor graphs on the ring of integers modulo a prime power order will be explored through a literature review and conjecture.
Rainbow Connection on Amal(Fn,xz,m) Graphs and Amal(On,xz,m) Graphs Muhammad Usaid Hudloir; Dafik; Adawiyah, Robiatul; Rafiantika Megahnia Prihandini; Arika Indah Kristiana
Contemporary Mathematics and Applications (ConMathA) Vol. 6 No. 2 (2024)
Publisher : Universitas Airlangga

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20473/conmatha.v6i2.56201

Abstract

Coloring graph is giving a color to a set of vertices and a set of edges on a graph. The condition for coloring a graph is that each color is different for each neighboring member graph. Coloring graph can be done by mapping a different color to each vertex or edge. Rainbow coloring is a type of rainbow connected with coloring edge. It ensures that every graph G has a rainbow path. A rainbow path is a path in a graph where no two vertices have the same color. The minimum number of colors in a rainbow connected graph is called the rainbow connection number denoted by rc(G). The graphs used in this study are the Amal(Fn,xz,m) graph and the Amal(On,xz,m) graph.
Implementation of K-Means and Single Linkage on Types of Disabilities in East Java Province Putri Amaningsih; Tony Yulianto; Faisol; Rica Amalia
Contemporary Mathematics and Applications (ConMathA) Vol. 6 No. 2 (2024)
Publisher : Universitas Airlangga

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20473/conmatha.v6i2.58513

Abstract

The high number of people with disabilities is one of the problems faced by the Indonesian government, especially in Java Province. After West Java Province, East Java Province is in second place as the province with the highest rate of people with disabilities in Indonesia. Disabled people are people with physical disabilities such as not being able to walk, not being able to talk, not being able to see, and so on. The aim of this research is to group districts in East Java Province based on types of disabilities with the hope of facilitating activities in fulfilling the rights of people with disabilities in East Java Province. The grouping was carried out in order to determine the characteristics of each cluster using so that the optimal k-means method was used for clustering using the Euclidean distance method with cluster 1 in 29 districts and cluster 2 in 9 districts. The most optimal single linkage uses the Euclidean distance method with cluster 1 having 8 districts and cluster 2 having 30 districts. From the results of the validity index values, it was found that the single linkage method had the smallest validity value of the icdrate method compared to the k-means method.
Existence and Uniqueness of Homogeneous Linear Equation Solutions in Supertropical Algebra Yuliati, Dian; Suci Rahmawati
Contemporary Mathematics and Applications (ConMathA) Vol. 6 No. 2 (2024)
Publisher : Universitas Airlangga

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20473/conmatha.v6i2.63757

Abstract

This research investigates the existence and uniqueness of solutions to homogeneous linear equations in supertropical algebra. We analyze the structure of supertropical matrices to identify the conditions in which nontrivial solutions exist for the system of equations A⊗? ⊨ ?, where A is a matrix over a supertropical semiring and x is a vector. By applying determinant-based criteria, we demonstrate how tropical and supertropical values influence the solution space. The research applies theorems that determine the presence of trivial and nontrivial solutions and uses examples to illustrate practical methods for solving homogeneous matrix systems. This highlights the distinct characteristics of supertropical algebra compared to classical linear algebra. Our findings provide a deeper insight into solution behaviors in supertropical systems, paving the way for further research in tropical mathematics.

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