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…
ABSTRACT Oil palm (Elaeis guineensis Jacq.) is the primary source of vegetable oil, with higher productivity compared to other oil-producing crops. In Riau Province, the area of oil palm plantations continues to expand annually. This expansion has led to an increased demand for large quantities of seedlings, thereby necessitating effective nursery practices. In oil palm seedling cultivatio…
ABSTRACT Coconut (Cocos nucifera L.) is a strategic plantation crop in Indonesia that plays an important role in social, economic, and industrial aspects. Indragiri Hilir Regency is the largest producer of tall coconut in Riau Province; however, its productivity declines as the trees age. This study aims to analyze the quality of tall coconut fruits based on plant age in Tembilahan Hulu Di…
ABSTRACT Oil palm (Elaeis guineensis Jacq.) is widely cultivated in Indonesia, especially in Riau Province, where many plantations are located on marginal soils like sandytextured Dystrudepts which have high percolation and nutrient leaching. To address this, slow-release fertilizers like Polyhalite are suitable but require potassium supplementation, such as with KCI. This study aims to ex…
ABSTRACT Soybean (Glycine max L.) is an important legume crop due to its high nutritional value and its utilization in various processed products. Efforts to increase soybean productivity are often hampered by the growing dependence on inorganic fertilizers, which pose environmental concerns and increase production costs. A promising and eco-friendly alternative to reduce the use of inorga…
ABSTRACT Sweet potato (Ipomoea batatas L.) is an important carbohydrate source crop in Indonesia's food diversification program. Its production declined from 2020 to 2021, in line with a decrease in harvested area. One effort to improve the productivity of this crop is by optimizing planting spacing and applying biofertilizers containing microorganisms that play a role in decomposing organ…
This final project discusses a predator–prey dynamic model with delay-induced effects, incorporating a fear effect on the prey and intraspecific competition within the predator species. For the system without delay, three equilibrium points are obtained, namely two saddle points and one whose stability depends on certain parameters. In the delayed system, there exists a critical delay thre- s…
PT. Freedom is a company operating in the cafe industry that has been using a manual system for managing product marketing reports by recording and managing data using Excel spreadsheets. This manual system creates various obstacles such as difficulty in tracking sales performance in real-time, risk of errors in data recording, and slow report preparation processes for analysis and decision-mak…
The Governor's Office of Riau manages a wide range of assets distributed across multiple work units, requiring a structured and efficient management system. Currently, the inventory process is still carried out manually, which is prone to recording errors and is less effective for handling a large volume of assets. This study aims to design and develop a web-based asset inventory information sy…
This final project aims to design and implement a web-based Shift Operational Daily (SOD) information system at Awal Bros Ahmad Yani Hospital. The system is intended to replace the previous manual reporting process using spreadsheets, which often caused issues such as data entry errors, reporting delays, and difficulties in data management. The research was conducted through stages of observati…
The increasing number of illegal cosmetic and pharmaceutical products not registered with BPOM has raised public concern. To address this issue, a web- based information system was developed that allows users to check the legality of products and report unregistered items. This system is built using PHP, MySQL, and OTP verification via email. The main features include registration, login, produ…
This final project aims to design and develop a web-based medication delivery information system at Awal Bros Ahmad Yani Hospital, which previously still used manual methods with Excel spreadsheets. This system is designed to automate the drug distribution process, improve recording accuracy, accelerate delivery time, and provide convenience for medical personnel in monitoring and managing drug…