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61	Minisymposia Fourier Analysis and Integral Operators	ABS-77
A substitute for the -L^1({\mathbb R}^n)--norm Yoshihiro Saweano Chuo University Abstract Keywords: Riesz transform, Riesz potential Share Link | Plain Format | Corresponding Author (Yoshihiro Sawano)

62	Minisymposia Fourier Analysis and Integral Operators	ABS-104
The Inclusion Properties of Orlicz Sequence Spaces with Rao and Ren Norm Lianna Rizky Gunawan, Al Azhary Masta, Siti Fatimah, Encum Sumiaty, Endang Cahya Mulyaning Asih, Sofihara Al Hazmy Mathematics Study Program, Faculty of Mathematics and Natural Sciences Education, Indonesia University of Education Jl. Dr. Setiabudi, Bandung, 40154, Indonesia Abstract The Orlicz space L_\Phi was first introduced in 1931 by Z. W. Birnbaum and W. Orlicz, which is an extention of Lebesgue space L_p with 1\leq p<\infty. Orlicz spaces has two different versions namely countinuous Orlicz space and Orlicz sequence space. The main objective of this study is to obtain the inclusion properties of Orlicz sequence spaces by using Rao and Ren norm defined on their generalized Orlicz spaces. The method used in this research is the properties of Young function and characteristic sequence norm. The result of this research is the inclusion properties of Orlicz sequence spaces with Rao and Ren norm. Keywords: Orlicz space, invers of Young function, Orlicz sequence space, Young function, Inclusion property Share Link | Plain Format | Corresponding Author (Lianna Rizky Gunawan)

63	Minisymposia Fourier Analysis and Integral Operators	ABS-122
Orlicz spaces and its generalizations Al Azhary Masta, Siti Fatimah, Cece Kustiawan, Encum Sumiaty, Endang Cahya M. A. 1Mathematics Study Program, Universitas Pendidikan Indonesia, Jl. Dr. Setiabudi 229, Bandung 40154, Indonesia Abstract Orlicz space is one of the generalizations of Lebesgue space. The study of Orlicz space has been done by several researchers, including the generalization of these space and some properties of the space. In this research, we will explain the generalization of these space and Holder^s inequality, especially the sharpening of Holder^s inequality on the space. One of the key proofs of our results is by using s-convex functions. Keywords: Orlicz spaces, Generalization of Orlicz spaces, s-convex function, holder^s inequality Share Link | Plain Format | Corresponding Author (Al Azhary Masta)

64	Minisymposia Fourier Analysis and Integral Operators	ABS-135
Inclusion Between Bourgain-Morrey Spaces and Their Weak Types Aria Pratama, Denny Ivanal Hakim Institut Teknologi Bandung Abstract This paper aims to explore the embedding relation between Bourgain-Morrey spaces and weak Bourgain-Morrey spaces. Bourgain-Morrey Spaces are important function spaces in harmonic analysis. In this article, we introduce weak Bourgain-Morrey spaces as certain generalization of weak Morrey spaces. We investigate the necessary and sufficient conditions for functions in weak Bourgain-Morrey spaces to also be elements in Bourgain-Morrey spaces, and vice versa. Our result are inclusion between weak Bourgain-Morrey spaces and inclusion of weak Bourgain- Morrey spaces into a certain Bourgain-Morrey spaces. These result generelize the inclusion result in Morrey spaces, weak Morrey spaces, and Bourgain-Morrey spaces. Keywords: Bourgain-Morrey space, Morrey space, weak Morrey space, inclusion Share Link | Plain Format | Corresponding Author (Aria Pratama)

65	Minisymposia Fourier Analysis and Integral Operators	ABS-137
Coupled Fractional Fourier Transform: Properties and Uncertainty Principle Mawardi Bahri Department of Mathematics, Hasanuddin University, Makassar 90245, Indonesia Abstract The coupled fractional Fourier transform is an extended version of the fractional Fourier transform. In the present work, we investigate some basic properties of the generalized transformation. We also propose convolution and correlation theorems and explore an uncertainty principle for the coupled fractional Fourier transform. Keywords: coupled fractional Fourier transform- uncertainty principle- fractional Fourier transformPlease Just Try to Submit This Sample Abstract Share Link | Plain Format | Corresponding Author (Mawardi Bahri)

66	Minisymposia Geometry and Topology	ABS-19
ON GENERALIZED BOURBAKI THEOREM IN (T,V)-CATEGORIES JUANDA KELANA PUTRA Masaryk University Abstract Bourbaki developed the concept of a proper map in topological spaces and proved that a continuous map between topological spaces is proper if and only if it is perfect, known as Bourbaki theorem. Clementino and Tholen extended this concept to lax algebras, formulating a generalized Bourbaki theorem applicable to a special type of category called a (T,V)- category. Their theorem states that, under certain conditions, a (T,V)-functor is proper if and only if both pullbacks of the functor are closed and a specific transformation is closed. They also provide an equivalent characterization using compactness of fibers. Clementino and Tholen then posed a question: If we slightly modify the con- ditions in their generalized theorem, do the equivalences still hold? This paper aims to answer this question, investigating the impact of these modifications on the relationship between properness and closure properties. Keywords: Proper map, Perfect map, (T,V)-category, (T,V)-functor Share Link | Plain Format | Corresponding Author (Juanda Kelana Putra)

67	Minisymposia Geometry and Topology	ABS-21
Isoperimetric Problems on n-sided Prisms Amrizal Marwan Ali (a*), Denny Ivanal Hakim (b) a) Mathematics for Teaching Study Program, Institut Teknologi Bandung, Bandung, Indonesia *amrizalmarwanali[at]gmail.com b) Analysis & Geometry Research Division, Institut Teknologi Bandung, Bandung, Indonesia Abstract In two-dimensional figure, the isoperimetric problem refers to finding two-dimensional figure that will produce the largest area among several shapes with equal perimeter. This research extends the isoperimetric problem to finding three-dimensional shapes with maximum volume among those having equal surface area. The study aims to solve the isoperimetric problem for prisms with regular n-sided base, prisms with irregular n-sided base and cylinder. In this research, the discussion is limited to prisms with irregular and irregular bases. The problem of finding the smallest surface area of a given three-dimensional figure with the same volume. The method used is geometric proof. we will see the relationship between isoperimetric problems in two dimensional figures and isoperimetric problems in three-dimensional figure. Obtained the results of the isoperimetric problem from two prisms with regular n-sided bases and a prism with regular m-sided bases with n \(\leq \)m, two prisms with regular n-sided bases and a prism with circular bases (cylinder), and two prisms with regular n-sided bases and a prism with irregular n-sided bases. Keywords: Isoperimetric Problem- Prisms- Volume- Surface Area Share Link | Plain Format | Corresponding Author (Amrizal Marwan Ali)

68	Minisymposia Geometry and Topology	ABS-35
Replica trick for entanglement entropy in black branes Hadyan Luthfan Prihadi and Freddy Permana Zen Institut Teknologi bandung Abstract We calculate the entanglement entropy of generalized static black brane between two causally separated regions using the replica trick. We consider the Euclidean Einstein-Hilbert action to calculate the replicated partition function in the saddle point approximation. The area law of the entanglement entropy is expected from the usual black hole results. This also indicates that entanglement is still present in causally disconnected regions due to the existence of black branes. Keywords: Entanglement, Entropy, Black Holes Share Link | Plain Format | Corresponding Author (Hadyan Luthfan Prihadi)

69	Minisymposia Geometry and Topology	ABS-61
Surface Area of SubRiemannian Sphere on Heisenberg Group Rizal Afgani, Iwan Pranoto KK Analisis Geometri, Institut Teknologi Bandung Abstract We discuss the SubRiemannian sphere on the Heisenberg Group and compute its surface area. We also compare it with its volume and discuss volume and surface area ratio from different geometries. Keywords: Surface Area, SubRiemannian geometry, Heisenberg group Share Link | Plain Format | Corresponding Author (Rizal Afgani)

70	Minisymposia Geometry and Topology	ABS-73
On geodesic balls packing generated by rotational and screw motion groups in -\mathbf{H}^2 \times \mathbf{R}- space. Arnasli Yahya (a)(b), Jeno Szirmai (a) (a) Budapest University of Technology and Economics, Hungary (b) Bandung Institute of Technology, Indonesia Abstract We present a new record for the densest ball packing configurations in \(\mathbf{H}^2 \times \mathbf{R}\), achieved through geodesic ball packings generated by screw motion groups. These groups are formed of rotational groups in \(\mathbf{H}^2\) and a translation component in the real fiber \(\mathbf{R}\). We provide exact solutions for Frobenius congruence to determine the translation part and develop a procedure to determine the optimal radius for the geodesic ball. The highest packing density, \(0.80529\cdots\), is achieved by a multi-transitive case of the rotational point group of order \((2,20,4)\). E. Molnar demonstrated that homogeneous 3-spaces can be uniformly interpreted in the projective 3-sphere \(\mathcal{PS}^3(\textbf{V}^4, \mathbf{V}_4, \mathbf{R})\). We use this projective model of \(\mathbf{H}^2 \times \mathbf{R}\) to visualize the locally optimal ball arrangements. Keywords: geodesic balls, sphere packing, Coxeter groups, Thurston geometries Share Link | Plain Format | Corresponding Author (Arnasli Yahya)

71	Minisymposia Geometry and Topology	ABS-87
Implementation of Topological Data Analysis and Support Vector Machine for MNIST Dataset Classification Nur Nilam Sari and Intan Muchtadi-Alamsyah Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung, Bandung, Indonesia gain Later Abstract The advancement of information technology and artificial intelligence has fostered innovation in pattern recognition, particularly on the MNIST dataset, a classic collection of handwritten digits. MNIST comprises two main components: image data X and labels y. This research focuses on exploring the application of topological data analysis concepts, specifically through persistence barcode analysis. Furthermore, the classification process employs machine learning techniques, specifically the support vector machine with a Radial Basis Function (RBF) kernel. Each digit in the MNIST dataset is represented as a 28x28 matrix, with matrix elements ranging from 1 to 255. The preprocessing steps include converting grayscale matrices to binary, skeletonization using the Zhang-Suen thinning method, forming embedded graphs, determining filtration values, and constructing persistence barcodes. Features are extracted from the persistence barcodes using the Adcock-Carlsson Coordinates method. To enhance accuracy, each image in the MNIST dataset undergoes four rotations (north, south, west, east), resulting in 32 extracted features per image. These features serve as inputs for the classification algorithm. The MNIST dataset is divided into training data (80\%\, 56,000 samples) and test data (20\%\, 14,000 samples). The chosen parameters include a gamma value of -0.006551285568595509- and a C value of -138.94954943731375-. Through these processes, the achieved accuracy on the test data reaches 70\%\. Keywords: MNIST dataset, persistence barcode, feature extraction, support vector machine Share Link | Plain Format | Corresponding Author (Nur Nilam Sari)

72	Minisymposia Geometry and Topology	ABS-125
Construction of Discrete Minimal Surfaces and their Properties Kemal Aziez Rachmansyah Mathematical Institute, Graduate School of Science, Tohoku University Abstract In this work, we aim to survey recent advances in discrete minimal surface theories and compare them. Each approach is independent to each other and comes with different properties. The approaches discussed are Konrad Polthier^s work in [1] that took advantage of the area-minimizing property of a minimal surface, Wai Yeung Lam^s work in [2] that constructs two types of minimal surfaces, and Kotani, Naito, and Omori^s work in [3] where they defined the discrete analogue of fundamental forms. Each approach has its own discrete version of Weierstrass representation. References [1] A. I. Bobenko, T. Hoffman, and A. B. Springborn, Minimal surfaces from circle patterns: Geometry from combinatorics, Annals of Mathematics 164 (2006), 231-264. [2] W. Y. Lam, Discrete Minimal Surfaces, Critical Points of the Area Functional from Integrable Systems, International Mathematics Research Notices 2018, no. 6, 1808-1845. [3] M. Kotani, H. Naito, and T. Omori, A discrete surface theory, Computer Aided Geometric Design 58 (2017), 24-54. Keywords: Discrete minimal surface, Weierstrass representation Share Link | Plain Format | Corresponding Author (Kemal Aziez Rachmansyah)

73	Minisymposia Measure and Integration Theory	ABS-62
Some Properties of Denjoy-McShane Integral and Its Convergence Theorem Agus Setiawan, Christiana Rini Indrati, Made Tantrawan Universitas Gadjah Mada Abstract In this paper, it will be disscused some properties of the Denjoy-McShane Integral of Banach-valued functions. The discussion will be continued by giving a convergence theorem of the Denjoy-McShane Integral. Keywords: Denjoy-McShane Integral, Banach Spaces, Convergence Theorem Share Link | Plain Format | Corresponding Author (Agus Setiawan)

74	Minisymposia Measure and Integration Theory	ABS-79
Sufficient Conditions of the Multiplication of Two M_&#945- Integrable Functionslease Just Try to Submit This Sample Abstract Christiana Rini Indrati Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Gadjah Mada, Sekip Utara Yogyakarta, 55281, Indonesia Abstract In this research, it will be discussed sufficient conditions of the multiplication of two functions to be M_&#945--integrable on [a,b]. In Lebesgue integral, the sufficient conditions involve bounded variation condition. It will be constructed the associated condition of the bounded variation in characterizing the primitive of the M_&#945- integral. The constructed bounded variation will also be used to characterize the primitive of the M_&#945-integrable functions. Keywords: M_&#945--integrable, multiplication, sufficient conditions, and bounded variation. Share Link | Plain Format | Corresponding Author (Christiana Rini Indrati)

75	Minisymposia Measure and Integration Theory	ABS-99
The Primitives of \(N-\)Integrable Functions Emmanuel Cabral (a*), Khaing Khaing Aye (b), Abraham Racca (c) a) Ateneo de Manila University Katipunan Avenue, Loyola Heights, Quezon City, Philippines ecabral[at]ateneo.edu* b) Yangon Technological University Yangon, Myanmar khaingkhaingaye[at]ytu.edu.mm c) Adventist University of the Philippines Puting Kahoy, Silang, Cavite, Philippines APRacca[at]aup.edu.ph Abstract A function \(f:[a,b]\to\mathbb{R}\) is \(N-\)integrable with integral \(A\) if and only if for every \(\varepsilon>0\), there exists an elementary set \(E\) with \([a,b]\setminus E\) of measure smaller than \(\varepsilon\) and \(S_\infty\subset[a,b]\setminus \overline{E}\) such that \(f\) is Riemann integrable on \(\overline{E}\) and \[\left|(R)\int_{\overline{E}}f-A\right|<\varepsilon.\] Here, \(S_\infty\) is the set of all points in \([a,b]\) such that for every \(x\in S_\infty\), there is some sequence \(\left\{x_n\right\}\) in \([a,b]\) with \(\left|f(x_n)\right|\to\infty\) as \(n\to\infty\) and \((R)\int_\overline{E} f\) is a Riemann integral. It will be shown that if \(f\) is \(N-\)integrable, then there exists a sequence of Riemann integrable functions \(f_n\) pointwise convergent to \(f\) and with corresponding primitives \(F_n\) that are uniformly \(ACG^*\). The primitive of \(N-\)integrable functions are shown to be those almost everywhere slope continuous functions that satisfy the strong Lusin condition. Keywords: \(N-\)integrable, Riemann integrable, primitives, uniformly \(ACG^*\), slope continuous, strong Lusin Share Link | Plain Format | Corresponding Author (Emmanuel Abiog Cabral)

76	Minisymposia Measure and Integration Theory	ABS-103
Integration by Parts for McShane and Kurzweil-Henstock Integral via Double Lusin Condition Abraham P. Racca Adventist University of the Philippines Abstract In this paper we proved an integration by parts formula for McShane and Kurzweil-Henstock integrals by utilizing the double Lusin condition. Keywords: McShane integral, Kurzweil-Henstock integral, integration by parts, double Lusin condition Share Link | Plain Format | Corresponding Author (Abraham Perral Racca)

77	Minisymposia Measure and Integration Theory	ABS-133
Bochner Integral in Quasilinear Metric Spaces. Mohamad Muslikh Universitas Brawijaya Abstract In this paper, we introduced the notion of Bochner integral in quasilinear metric spaces. This definition like the Bochner integral of Banach valued functions, but this definition more broadly covers integral of set-valued functions. Some results showed also in this paper such as linearity property of the Bochner integrable of functions and so on. Keywords: Quasilinear, Hausdorff metric, measurable sets, Bochner Integral Share Link | Plain Format | Corresponding Author (Mohamad Muslikh)

78	Minisymposia Measure and Integration Theory	ABS-134
Some Applications of a Characterization of First-Class Functions Jonald P. Fenecios Philippine Science High School - Southern Mindanao Campus Abstract Two applications of a recent characterization of first-class functions are presented in this paper. The first application provides a new proof to the classical theorem which states that given any first category set -F- of type -\mathcal{F}_{\sigma}- there exists a first-class function -f- such that -D\left(f\right)=F- where -D\left(f\right)- is the set of points of discontinuity of -f-. The second application involves a problem posed by G. Myerson in 1991 that asked the validity of the following statement: A necessary and sufficient condition for the existence of a function -f:X\rightarrow Y- of the first-class such that -S=\left\{x \in X|f\left(x\right)\neq p\right\}- where -p \in Y- is that -S- is an -\mathcal{F}_{\sigma}- set. We show that there is a positive answer when -X- is a separable metric space and -Y=\mathbb{R}- or -Y=\left[a,b\right]^{\aleph}- or -Y=\left[a,b\right]^n- with -n<\aleph-. Keywords: first-class, set of points of discontinuity, set of first category Share Link | Plain Format | Corresponding Author (JONALD FENECIOS)

79	Others	ABS-8
Systematic Review of Optimization of Nesting System in Shipbuilding Wanda Rulita Sari(1*), Gunawan Gunawan (1), Dimas Angga Fakhri Muzhoffar (1) 1) Department of Mechanical Engineering, Universitas Indonesia, Depok 16424, Indonesia Abstract The shipbuilding industry plays a crucial role in the global economy, particularly for archipelagic nations where maritime activities are central to trade. The industry^s focus on optimizing plate cutting processes, particularly through nesting especially for minimizing waste and enhancing material utilization. Nesting is the solution with the strategic arrangement of cutting patterns on steel sheets to maximize material usage, involves selecting the appropriate cutting technology and optimizing the use of steel plates. This process utilizes advanced algorithms that are tailored to specific production needs. This article review focuses on evaluating these algorithms to determine their efficiency in the nesting process. By systematically analyzing different algorithms^ characteristics and performance through several consideration that aim to identify optimal solutions for reducing waste and improving the efficiency of ship construction. The comprehensive analysis indicates that the appropriate integration and application of these algorithms significantly enhance nesting effectiveness, thereby contributing to material savings and production efficiency. This underscores the importance of continuous algorithmic refinement and application in the shipbuilding industry to meet economic and environmental goals. Keywords: Cutting Plate- Nesting Algorithms- Nesting Optimization- Shipbuilding Efficiency- Algorithmic Optimization Share Link | Plain Format | Corresponding Author (Wanda Rulita Sari)

80	Others	ABS-22
Stability Analysis of Mixing Problem with Cascading Tanks Robby, Jalina Widjaja Department of Mathematics, Faculty of Mathematics and Natural Sciences, Bandung Institute of Technology Jalan Ganesha 10, Bandung 40132, Indonesia (E-mail: robbyrobbyby[at]gmail.com, jalina[at]itb.ac.id) Abstract Several cases of mixing problems which yield to a system of first order differential equations are investigated. When the perfectly mixed assumption is lifted, the model will be changed into a system of delay differential equation. The method of steps can be employed to find its solution. The behavior of the solutions is also compared to the behavior of the solution of the corresponding ordinary equations, especially its stability. The stability aspect can be analyzed by considering the solution of the characteristic equation corresponding to its system. Keywords: mixing problem, mixing time, delay differential equation, stability analysis Share Link | Plain Format | Corresponding Author (Robby Robby)

81	Others	ABS-24
On the Convergence of \((p_1,\cdots,p_n)\)-multiple Series Pebrudal Zanu, Dian Maharani, Robby Institut Teknologi Bandung, UIN Maulana Malik Ibrahim Malang Abstract It is a basic fact that a \(p\)-series is a convergent series if \(p>1\). We generalize the \(p\)-series into the form of \((p_1,\cdots,p_n)\)-multiple series. Through a few Lemmas we derive a necessary and sufficient condition for such multiple series to converge. Keywords: \(p\)-series, \((p_1,\cdots,p_n)\)-multiple Series Share Link | Plain Format | Corresponding Author (Pebrudal Zanu)

82	Others	ABS-25
A Note on Cauchy-type Class of Functions Made Tantrawan, Hadrian Andradi, Atok Zulijanto, Dewi Kartika Sari Universitas Gadjah Mada Abstract Continuous and Baire-1 functions are two important types of functions in mathematics and applied science. They often play a crucial role in comprehending and modeling natural phenomena and making better decisions in various situations. In mathematical term, continuous functions are defined through the -\epsilon-\delta- formulation, while Baire-1 functions are defined as limits of sequences of continuous functions. Since 2001, it has been known that Baire-1 functions can also be formulated in terms of -\epsilon-\delta-. Based on this fact, a natural question arises about classes of functions between continuous and Baire-1 functions that can also be characterized in terms of -\epsilon-\delta-. Some answers have been obtained by Jachymski and Lindner (2004), but with certain assumptions. In this paper, we generalize some of the results on characterization of those classes of functions. We also provide alternative proofs of several cases of when the class is equal to the class of continuous functions or Baire-1 functions. Keywords: Baire-1 functions, continuous functions, Cauchy-type function Share Link | Plain Format | Corresponding Author (Hadrian Andradi)

83	Others	ABS-27
Braid Dynamics: Learning from Neurodegenerative Disease Prama Putra Industrial and Financial Mathematics Research Group, Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung Abstract Braid theory, rooted in algebraic topology, provides a robust framework for understanding complex patterns and sequences in mathematical models. Recent advancements have shown its potential in modeling the progression of neurodegenerative diseases such as Alzheimer^s. In this study, we explore how braid theory can be connected to mathematical network models. By leveraging braid diagrams, we analyze and visualize the dynamics of disease progression. In this talk, we would like to raise a concern that there is a chance to understand more braid theory from a dynamical system perspective, providing a fresh outlook using braid theory. Keywords: Braid, Complex Networks, Mathematical Models, Dynamics Share Link | Plain Format | Corresponding Author (Prama Putra)

84	Others	ABS-30
NUMERICAL ANALYSIS OF NON-NEWTONIAN FLUID BEHAVIOR IN SHOCK ABSORBERS USING THE KELVIN-VOIGT MODEL Erwin, Tulus, Elvina Herawati, Imam Solekhuddin Universitas Sumatera Utara, Universitas Sumatera Utara, Universitas Sumatera Utara, Universitas Gadjah Mada Abstract Shock absorbers are a crucial component in automotive suspension systems, significantly influencing vehicle performance, comfort, and safety. The selection of fluid within shock absorbers plays a pivotal role, and non-Newtonian fluids, which exhibit complex viscosity characteristics, offer potential advantages in shock absorption due to their unique behavior under varying conditions. However, optimizing their use requires detailed studies. This research aims to understand non-Newtonian fluid dynamics in shock absorbers by formulating differential equations that govern their flow, utilizing the Kelvin-Voigt viscoelastic model to accurately describe the material properties. Numerical methods, particularly the finite element method (FEM), are employed to solve these equations under various operating conditions. The simulations are conducted using the COMSOL Multiphysics software to uncover the complex interactions between the viscous and elastic properties of non-Newtonian fluids. These interactions demonstrate significant deviations from the behavior predicted by traditional Newtonian fluid models. The Kelvin-Voigt model effectively represents the behavior of materials that exhibit both elastic deformation and viscous flow, providing a comprehensive framework for analyzing the dynamic response of shock absorbers. The results of this study emphasize the critical importance of considering non-Newtonian characteristics in the design and optimization of shock absorbers. By providing a deeper understanding of the fluid dynamics involved, this research contributes to the development of more efficient and effective shock absorbers, enhancing overall vehicle performance and passenger comfort. Keywords: Shock Absorbers, Non-Newtonian Fluids, Kelvin-Voight, COMSOL Share Link | Plain Format | Corresponding Author (Erwin -)

85	Others	ABS-43
Modeling Transboundary Air Pollution in ASEAN with Game Theory Nathasya Abenita Christien (a,b)- Aditya Purwa Santika (a*) a) Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung, Bandung 40132, Indonesia b) PT Witteveen Bos, Jakarta Selatan 12730, Indonesia *aditps[at]itb.ac.id Abstract In this research, we investigate the policies of ASEAN countries related to trans-boundary pollution using a differential game. Each country is modeled as an agent with its own pollution, which can be transferred to other countries. Each country can decide its investment rate in clean policies. When the countries aim to optimize their condition, each country incurs a pollution cost, defined as the sum of environmental costs and the costs for clean policies. The environmental cost depends on the pollution the country emits or receives from others. Their decisions are based on four variations of behavior: (1) a non-cooperative game where players optimize their own costs, (2) a cooperative game where players optimize their joint global costs together, (3) a basic imitation game where players follow their neighbors^ choice of investment rate, and (4) an advanced imitation game where players^ imitation depends on the success of their neighbors. Additionally, to model the rate of pollution transferred from one country to another, a novel method is proposed by constructing a graph that allows the consideration of spatial and meteorological aspects of the problem. From the simulations, it is found that ASEAN countries can achieve lower pollution levels more quickly when they act cooperatively rather than non-cooperatively. By imitating each other, the countries can even reach a cleaner state in the long run. Keywords: Transboundary pollution- ASEAN- Differential game- Noncooperative- Cooperative- Imitation Share Link | Plain Format | Corresponding Author (Nathasya Abenita Christien)

86	Others	ABS-48
Persistent Homology-Based Data Topology in Relation to the Accuracy of Translation Results Based on Transformer Models Euis Asriani a), Intan Muchtadi-Alamsyah b) c), Ayu Purwarianti c) d) a) Doctoral Program of Mathematics, Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung, Bandung 40132, Indonesia b) Algebra Research Group, Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung, Bandung 40132, Indonesia c) University Center of Excellence Artificial Intelligence on Vision, Natural Language Processing and Big Data Analytics (U-CoE AI-VLB), Institut Teknologi Bandung, Bandung 40132, Indonesia d) Informatics Research Group, School of Electrical Engineering and Informatics, Institut Teknologi Bandung, Bandung 40132, Indonesia Abstract Topological data analysis plays an important role in data analysis, particularly in exploring data shapes. In the realm of transformer-based translation models, data preparation is a crucial phase that can affect the quality of translation results. This research aims to investigate the correlation between the quality of translation results and the structure or shape of the dataset based on topological data analysis. Experiments were conducted on a modified transformer-based translation machine using a block circulant weight matrix and the DCT-DST matrix-vector multiplication algorithm. The quality of the translation results is based on BLEU scores on two pairs of datasets: Portuguese-English and Indonesian-English. The structure of both language pair datasets was explored using persistent homology and represented by persistence diagrams and barcodes. The Wasserstein distance was used to measure the similarity between two persistence diagrams. The experimental results show that the dataset structure reflects the BLEU scores achieved in translating both language pairs. Keywords: topological data analysis, transformer, circulant weight matrix, persistent homology, persistence diagram, Share Link | Plain Format | Corresponding Author (Euis Asriani)

87	Others	ABS-59
Discrete Morse Theory in Topological Data Analysis: A Practical Demonstration of Morse-Smale Complex Extraction for Data Analysis Aldiputera Laksamana, Yudi Soeharyadi Department of Mathematics, FMIPA Institut Teknologi Bandung Abstract The study explores the application of discrete Morse theory within Topological Data Analysis (TDA), focusing specifically on the extraction and simplification of Morse-Smale complexes. Utilizing discrete Morse functions on simplicial complexes, one can effectively derive Morse-Smale complexes, which offer a multitude of features, including various separatrices and segmentations essential for image segmentation and clustering problems. Our demonstration employs the Topology Toolkit (TTK) in conjunction with the 3D multi-purpose renderer ParaView, enabling us to construct pipelines for processing and visualizing multidimensional data. This practical demonstration will underscore the advantages of this feature-extraction approach, particularly the utility of persistence in enhancing the clarity and interpretability of topological features. Keywords: Topological data analysis, Morse-Smale complex, persistence Share Link | Plain Format | Corresponding Author (Aldiputera Laksamana)

88	Others	ABS-68
OPTIMIZING MOTOR VEHICLE INSURANCE PURE PREMIUM DETERMINATION USING LOCALLY COMPENSATED RIDGE - MULTIVARIATE GEOGRAPHICALLY WEIGHTED REGRESSION MODEL Lisa S. Hasiru, Vicko R. Widodo, Kurnia Novita Sari, Natalie Calosa Institute of Technology Bandung Abstract This research focuses on motor vehicle insurance, which provides protection against losses sustained by motor vehicles. Premiums for this type of insurance cannot be generally set for all policies but must be tailored to the individual risk profiles of each policyholder. Geographic factors play a crucial role in determining these risks. Utilizing claim data from a general insurance company in Indonesia, this research explores various geographic risk factors, including the number of motor vehicles such as motorcycles, cars, trucks, and buses, as well as road conditions and population density. These factors are analyzed in relation to claim frequency and severity. The predictive results from this analysis are used to calculate the pure premium for each policy. To model the relationship between risk factors and response variables, this research employs the Locally Compensated Ridge - Multivariate Geographically Weighted Regression (LCR-MGWR) model. This model extends the Geographically Weighted Regression (GWR) model by addressing multicollinearity issues in the independent variables within spatial data. The weights for parameters in this model are determined using the Gaussian kernel function for the claim frequency response variable and the Bisquare kernel function for the claim severity response variable. This research aims to provide deeper insights into geographical risk factors in motor vehicle insurance premium determination and offer a more accurate and fair approach to premium setting. Keywords: Claim Frequency- Claim Severity- Locally Compensated Ridge - Multivariate Geographically Weighted Regression (LCR-MGWR)- Motor Vehicle Insurance- Pure Premium. Share Link | Plain Format | Corresponding Author (Lisa Hasiru)

89	Others	ABS-71
Construction Of Mortality Rate Using Heligman Pollard Model Azizah Dzakiya (a), Nuraziza Arfan (a), RR. Kurnia Novita Sari (b), Jesslyn Gracsella Rusli (c) a) Master Program in Actuarial, Faculty of Mathematics and Natural Science, Institut Teknologi Bandung b) Statistics Research Division, Faculty of Mathematics and Natural Science, Institut Teknologi Bandung c) Undergraduate Program in Actuarial, Faculty of Mathematics and Natural Science, Institut Teknologi Bandung Abstract The idea of constructing mortality table lies in reflecting mortality changes of the member of the study population. This study proposed a construction of mortality table for male and female participants using Heligman Pollard Model and being evaluated using the newest national mortality table published by BPJS Kesehatan Indonesia, Tabel Mortalitas Penduduk Indonesia 2023 (TMPI-23). This research used BPJS Kesehatan Indonesia data set, from 2018 to 2021. The methodology applied in this study includes calculating exposure and death counts at each age, determining the crude mortality rate under Makeham law of mortality assumption, and fitting the result with Heligman Pollard model. Heligman Pollard is one of the graduation methods to capture different mortality pattern throughout entire life span. It has eight-parameter framework composed of three interval ages. The initial term represents the declining in mortality at childhood age. The middle term represents the peak at around age 23 as observed in many mortality tables. And the final term represents the exponential increase of mortality at adult age. The result shows SSE values of both male and female participants are 22,171 and 16,473 respectively, while the MSE values of both male and female participants are 0,198 and 0,147 respectively. Keywords: Heligman Pollard Model, Mortality Rate, Makeham law, National Mortality Table Share Link | Plain Format | Corresponding Author (Azizah Dzakiya)

90	Others	ABS-72
Analytical Solution of Generalised Mandels Problem Adilan Widyawan Mahdiyasa Department of Mathematics , Bandung Institute of Technology, Bandung, Indonesia Abstract Mandels problem considers the time-dependent deformation of a fully saturated rectangular porous material with drainage at the lateral sides and steady load from the top and bottom. It plays a major role in the fields of geomechanics and hydrogeology. This paper presents analytical solutions to Mandels problem with compressible fluid and solid particles. The governing equations are developed based on the equation of equilibrium and the conservation of mass both for fluid and solid constituents. The analytical solution is obtained by applying the Laplace transform to the proposed governing equation with the pore pressure becoming the main variable. The result can serve as a benchmarking and calibration tool for both modelling and experimental data. To show the application of the proposed analytical solution, we perform simulations to study the influence of solid compressibility on the pore pressure distribution. We found that the pore pressure is significantly affected not only by the permeability but also the compressibility of the solid particles. Therefore, compared to the classical analytical solution of Mandels problem, in which the fluid and solid particles are incompressible, our analytical solution offers more general results and provides a deeper understanding of the mechanical behaviour of a porous material. Keywords: analytical solution, Laplace transform, pore pressure, porous material Share Link | Plain Format | Corresponding Author (Adilan Widyawan Mahdiyasa)

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