ABSTRACT ANDI RIO RAMADHAN. 2110246916, Construction and Analysis of Filters in BN-Algebra, supervised by Sri Gemawati and Kartini. BN-algebra (A; ∗, 0) is a non-empty set A equipped with a binary operation ∗ and a constant 0, which satisfies the following axioms: (B1) a ∗ a = 0, (B2) a ∗ 0 = a, and (BN) (a ∗ b) ∗ c = (0 ∗ c) ∗ (b ∗ a) for every a, b, c ∈ A. A subset I …
ABSTRACT RISTIFANI ULFATMI NIM. 2210246884, Mean-Expected Shortfall Model Model for Stock Portfolio Optimization with Support Vector Regression and its Application to the Capital Market, supervised by M. D. H. Gamal and Arisman Adnan. Public awareness of the importance of investment is increasing in line with advances in technology and information. In the context of stock investment, por…
ABSTRACT RATNA TRI AULIA NIM. 2210246886, DBK-Means Clustering Algorithm Based on Feature Engineering in Stock Portfolio Formation Using the Mean-VaR Model, Supervised by Arisman Adnan dan Ihda Hasbiyati. Stock investment offers high profit potential but also involves unavoidable risks, thus requiring appropriate strategies to determine the right combination of investment assets. The DBK-…
ABSTRACT MARDANI FITRA. 2210246883, Angle Bisector and Angle Trisector in Intersecting Quadrilaterals, Supervised by Mashadi and Sri Gemawati. This thesis discusses the study of geometry on intersecting quadrilaterals, par- ticularly regarding the construction and properties of angle bisectors and angle trisectors. The main focus of this research is to determine the lengths of the angle b…
By using Problem Based Learning (PBL), this classroom action research seeks to improve the learning process and increase students' mathematics learning outcomes. In the even semester of the 2024/2025 academic year, this study was attended by 31 students with various skill levels from class VIII-C of SMP Negeri 1 Kerumutan. This study was divided into two cycles, each cycle consisting of four st…
This study aims to develop web-based mathematics learning media using Adobe Flash that is valid, practical, and effective in improving students' learning independence in geometric transformation material for grade IX of SMP/MTs. This study uses the Research and Development (R&D) method with the Borg & Gall development model modified from Sugiyono (2019). The subjects in this study were students…
Mathematics learning often faces challenges in improving students' mathematical problem-solving abilities (KPMM), especially in statistics material. The Problem Based Learning (PBL) model is one of the approaches believed to enhance this ability by actively involving students in the learning process. This research uses Classroom Action Research (CAR) with the subjects were students of the 8th -…
ABSTRACT NESSY INDRYANTIKA. 2210247917, Construction of Derivation in Pseudo BE-Algebra, supervised by Sri Gemawati and Kartini. A BE-algebra is a non-empty set B with a binary operation ∗ and a constant 1, usually denoted by (B; ∗; 1), which satises the following axioms: (BE1) a ∗ a = 1, (BE2) a ∗ 1 = 1, (BE3) 1 ∗ a = a, and (BE4) a ∗ (b ∗ c) = b ∗ (a ∗ c) for all a; b…
This final project presents the development of a new numerical method called the New Bracketing Iteration Method (MIBB) for solving single-variable nonlinear equations. MIBB is a modification of the regula-falsi method, incorporating a combination of the bracketing approach and adaptive linear interpolation. The main advantages of this method are its derivative-free nature and guaranteed global…
This final project discusses a new family of optimal fourth-order iterative me- thod to solve a nonlinear equation. This method is obtained by modifying Newtons method using a weight function. Analytically using the Taylor expan- sion and geometric series that the iterative method has a convergence order of four and efficiency index is 1.587. Computational tests show that the new me- thods in t…
This final project examines the dynamics of the Fermi-Pasta-Ulam-Tsingou-α (FPUT-α) system, focusing on double-mode excitations and the equipartition of energy phenomenon. Through numerical simulations, it is investigated how variations in initial energy and excitation mode combinations influence energy distribution among modes. The results show that at low energy levels, energy remains uneve…
This final project discusses the development of mixtilinear incircle on angle trisectors in morley triangles. An angle trisector is defined as a line that divides an angle into three equal parts. If an angle is divided by two trisector lines, then each part of the resulting angle has the same size, which is one-third of the original angle. Mixtilinear incircle are internally tangent to the side…
This study discusses the implementation of block matrix inversion in input- output analysis of domestic transactions in Indonesia. A block matrix is a large matrix composed of smaller submatrices, used to simplify the inversion process in domestic transaction tables. The constructed block matrix is then analyzed using input-output analysis to measure the extent to which one sector influences an…
This final project discusses the modification of the Simpson’s 1/3 rule for approximating the Riemann-Stieltjes integral. The modification involves de- termining the coefficients of a monomial function of a certain degree, resulting in a second-order accuracy. The error is derived from the difference between the exact solution and the approximate solution. Numerical tests on several nonlinear…
This final project discusses the recovery of energy recurrence in a heterogeneo- us FPUT-β system with parameter variability. The tolerance values considered include 5%, 10%, 50%, and 95%. Moreover, several tolerance distributions su- ch as random, ascending, and centrosymmetric are introduced as approaches to restore energy recurrence in the FPUT-β system. The FPUT-β system is solved numeri…
This final project discusses three forms of iteration methods developed using the homotopy perturbation technique to solve nonlinear equations. The derivation of this method utilizes the Newton method approach, which is then improved by the homotopy perturbation technique so that a power series solution is obta- ined which forms three new iteration methods. Convergence analysis based on Taylor …
This final project discusses the Hamiltonian cycle on a new graph, namely the wijaya kusuma flower graph which is constructed by representing the original wijaya kusuma flower structure into a graph form. The vertex set V represents the flower structure such as the pistil, stamen, petals, and sepals, while the edge set E represents the relationship among these components. A Hamiltonian cycle is…
Adenovirus is a DNA virus that causes infections in the upper or lower respira- tory tract, pharynx, gastrointestinal tract, and conjunctiva. Let G = (AVn) be the modified adenovirus graph, which is constructed from molecular biology da- ta, where V (G) is the set of vertices representing genes of the DNA virus, DNA segments, and their variants, while E(G) is the set of edges representing over-…
This final project discusses modified Wu’s method, Liu’s method, Dˇzuni´c’s me- thod, and their combinations by updating several parameters to develop new methods. Analytically it is shown that the methods is convergence of order four. A memory acceleration technique is applied to enhance the convergence of these fourth-order methods. Computational tests using three tests functions and …
This final project discusses the modification of the Chebyshev method by adding the parameter p to obtain a new iteration method. Analysis of the convergen- ce order shows that this method has a convergence order of three. The basic characteristics of this method indicate that increasing the value of the para- meter p can speed up the computation. Computational tests show that the proposed meth…