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Jambura Journal of Mathematics
Published by Universitas Negeri Gorontalo
ISSN : 26545616     EISSN : 26561344     DOI : https://doi.org/10.34312/jjom
Core Subject : Education,
Mathematics
Jambura Journal of Mathematics (JJoM) is a peer-reviewed journal published by Department of Mathematics, State University of Gorontalo. This journal is available in print and online and highly respects the publication ethic and avoids any type of plagiarism. JJoM is intended as a communication forum for mathematicians and other scientists from many practitioners who use mathematics in research. The scope of the articles published in this journal deal with a broad range of topics, including: Mathematics; Applied Mathematics; Statistics; Applied Statistics.
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Articles 165 Documents
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Karakteristik Modul Endoprima Lemah Ainurrofiqoh, Dewi Ika
Jambura Journal of Mathematics Vol 6, No 2: August 2024
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/jjom.v6i2.26450

Abstract

In this research, we studied weakly endoprime module, which is a development of weakly prime module by reviewing its fully invariant submodule. This is similar to the development of endoprime module from prime module. This primary objective of this research are to determine the relationship between weakly endoprime module and endoprime module and examine the fully invariant submodules of weakly endoprime module. The method employed in this research involves studying the relationship between weakly prime modules and prime modules, endoprime modules and prime modules, as well as weakly endoprime modules and weakly prime modules. The results obtained are that each endoprime module is a weakly endoprime module, but the converse is not necessarily true. Moreover, a fully invariant submodule of a weakly endoprime module is not necessarily a weakly endoprime module.
Struktur Simplektik pada Aljabar Lie Affine aff(2,R) Queency, Aurillya; Kurniadi, Edi; Firdaniza, Firdaniza
Jambura Journal of Mathematics Vol 6, No 1: February 2024
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/jjom.v6i1.23254

Abstract

In this research, we studied the affine Lie algebra aff(2,R). The aim of this research is to determine the 1-form in affine Lie algebra aff(2,R) which is associated with its symplectic structure so that affine Lie algebra aff(2,R) is a Frobenius Lie algebra. Realized the elements of the affine Lie algebra aff(2,R) in matrix form, then calculated the Lie brackets and formed the structure matrix of the affine Lie algebra aff(2,R). 1-form of the affine Lie algebra aff(2,R) is obtained from the determinant of the structure matrix of the affine Lie algebra aff(2,R). Furthermore, proved that the 2-form is symplectic and related to the 1-form. The result obtained is that the affine Lie algebra aff(2,R) has 1-form α=ε_12^*+ε_23^* on aff(2,R)^* which is related to its symplectic structure, β=ε_11^*∧ε_12^*+ε_12^*∧ε_22^*+ε_21^*∧ε_13^*+ε_22^*∧ε_23^* such that the affine Lie algebra aff(2,R) is a Frobenius Lie algebra. For further research, it can be developed into an affine Lie algebra with dimensions n(n+1).
Koreksi pada artikel Hayati dkk.: Teori Titik Tetap untuk Tipe Kannan yang Diperumum dalam Ruang b-Metrik Modular Lengkap Hayati, Afifah; Sofiyati, Noor
Jambura Journal of Mathematics Vol 6, No 2: August 2024
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/jjom.v6i2.26441

Abstract

This article is a commentary on research that is conducted by Hayati et al. which was published in Jambura Journal of Mathematics volume 5 number 2 in 2023. It was found that there is an error occurred in the process of proving the fixed point theorems for generalized Kannan type mappings in modular b-metric spaces. This error makes the existence of the fixed point in the theorem is not valid. By adding the convex property to the modular b-metric, the fixed point theorems still holds.
Optimisasi Hyperparameter BiLSTM Menggunakan Bayesian Optimization untuk Prediksi Harga Saham Simamora, Fandi Presly; Purba, Ronsen; Pasha, Muhammad Fermi
Jambura Journal of Mathematics Vol 7, No 1: February 2025
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/jjom.v7i1.27166

Abstract

The accuracy of deep learning models in predicting dynamic and non-linear stock market data highly depends on selecting optimal hyperparameters. However, finding optimal hyperparameters can be costly in terms of the model's objective function, as it requires testing all possible combinations of hyperparameter configurations. This research aims to find the optimal hyperparameter configuration for the BiLSTM model using Bayesian Optimization. The study was conducted using three blue-chip stocks from different sectors, namely BBCA, BYAN, and TLKM, with two scenarios of search iterations. The test results show that Bayesian Optimization was able to find the optimal hyperparameter configuration for the BiLSTM model, with the best MAPE values for each stock: BBCA 1.2092%, BYAN 2.0609%, and TLKM 1.2027%. Compared to previous research on Grid Search-BiLSTM, the use of Bayesian Optimization-BiLSTM resulted in lower MAPE values.
Implementasi Penggunaan Generalisasi Thinning Process pada Penduga Fungsi Ragam Proses Poisson Periodik Majemuk Abdullah, Syarif; Mangku, I Wayan; Mursyidah, Himmatul; Huda, Mifathul; Ikhsan, Fajri; Chasanah, Sri Istiyarti Uswatun
Jambura Journal of Mathematics Vol 6, No 1: February 2024
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/jjom.v6i1.22491

Abstract

This article implements the thinning process algorithm, which has been generalized for estimators of compound periodic Poisson processes. The use of generalizations in the algorithm has been prepared with a linear trend in the periodic elements. This research aims to discuss estimators of the variance function. The method used in this research is the simulation method. Simulation results using a generalized algorithm thinning process show that in the case of a limited observation time interval, some estimators are good enough to approach the actual value. As the value of n increases, the simulated value of the estimator moves towards the predicted value. This is following the lemmas, theorems, and consequences that have been discussed. It was also found that several estimators were quite slow. This results in the movement of the bias, variance, and MSE values of the estimators being slow, even though they are moving towards 0. So that further modifications can be made to the model being studied.
Perbandingan Metode ARIMA dan SARIMA Dalam Peramalan Jumlah Penumpang Bandara Provinsi Kepulauan Bangka Belitung Febiola, Aulia; Dewi, Amelia; Fazarin, Fatia Maura; Ramadhani, Fitri; Khaffi, Muhammad Akbar; Akbar, Ridho; Dalimunthe, Desy Yuliana
Jambura Journal of Mathematics Vol 6, No 2: August 2024
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/jjom.v6i2.25081

Abstract

One of the transportation that is often used by people in Bangka Belitung to travel outside the area is airplanes. Judging from the data on the number of passengers at two airports in the Bangka Belitung Islands Province, the highest number of airplane passengers departing outside the region in April 2023 was 88,511 people. If there isan excessive increase in the number of passengers, it will have an impact on the quality of airport service levels and disrupt the stability of flight traffic. The purpose of this study is to compare the results of forecasting the number of passengers at the airport of Bangka Belitung Islands Province for the future period using the ARIMA and SARIMA methods. Based on the results of the analysis, the best method to forecast the number of passengers at the Bangka Belitung Islands Provincial Airport is the ARIMA method with the best model, namely ARIMA (0,1,1). In general, the results of forecasting the number of passengers at the Bangka Belitung Islands Provincial Airport from May 2024 to April 2026 will increase the number of passengers continuously until April 2026.
Penentuan Hiperstruktur Aljabar dan Karakteristiknya dalam Masalah Pewarisan Biologi Alamsyah, Alifa Raida; Kurniadi, Edi; Triska, Anita
Jambura Journal of Mathematics Vol 7, No 1: February 2025
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/jjom.v7i1.28270

Abstract

This article discusses the application of mathematics in biological inheritance problems, which are closely linked to mathematical studies, particularly in algebraic hyperstructures, including hypergroupoids, hypergroups, and -semigroups. The research aims to determine types of algebraic hyperstructures arising from genetic crossing in inheritance issues, with the crossing results represented in a set where two distinct hyperoperations are applied. Findings indicate that under the first hyperoperation, the algebraic hyperstructures formed include a commutative hypergroup, a regular hypergroup, a cyclic hypergroup, and an -semigroup with one idempotent element, three identity elements, and one generator. Under the second hyperoperation the resulting algebraic hyperstructures include a commutative hypergroup, a regular hypergroup, a cyclic hypergroup, and an -semigroup without idempotent elements, with three identity elements and three generators. Future research could develop various alternative hyperoperations on biological inheritance problems, generating a greater variety of algebraic hyperstructures. The results of this study indicate that the algebraic hyperstructure of a set depends on its hyperoperation.
Prediksi Harga Saham Syariah menggunakan Bidirectional Long Short Term Memory (BiLSTM) dan Algoritma Grid Search Puteri, Dian Islamiaty; Darmawan, Gumgum; Ruchjana, Budi Nurani
Jambura Journal of Mathematics Vol 6, No 1: February 2024
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/jjom.v6i1.23297

Abstract

Sharia stocks are one of the investment instruments in the Islamic capital market. In the capital market, it is known that stock prices are very volatile. This makes investors need to carry out a strategy for making the right decision in investing, one of which can be done by predicting stock prices. In this study, predictions were made using historical data on the closing price of Islamic shares of PT. Telkom Indonesia Tbk with the Bidirectional Long Short Term Memory (BiLSTM) method. In building the best prediction model, it is necessary to choose the right parameters and one way to do this is to use the grid search algorithm. Based on the results of the test analysis, it was found that the smallest Mean Absolute Percentage Error (MAPE) value was found in the BiLSTM model in the distribution of data with a percentage of 90% training data and 10% testing data and parameter values obtained based on parameter tuning using grid search, including the number of neurons 25, 100 epochs, 4 batches, and 0.2 dropouts. The MAPE obtained in this study was 10.83% and based on the scale on the MAPE value criteria, this shows that the resulting prediction model is accurate. As for the test results from the comparisons made on the BiLSTM and LSTM models using grid search as a tuning parameter and models without using a grid search or it can be called a trial and error approach as a tuning parameter, it is found that the model with better predictive performance is found in BiLSTM using a grid search. compared to other models.
The k-Tribonacci Matrix and the Pascal Matrix Gemawati, Sri; Musraini, Musraini; Mirfaturiqa, Mirfaturiqa
Jambura Journal of Mathematics Vol 6, No 1: February 2024
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/jjom.v6i1.24131

Abstract

This article discusses the relationship between the k-Tribonacci matrix Tn(k) and the Pascal matrix Pn, by first constructing the k-Tribonacci matrix and then looking for its inverse. From the inverse k-Tribonacci matrix, unique characteristics can be constructed so that general shapes can be constructed, and then from the relationship of the k-Tribonacci matrix Tn(k) and the Pascal matrix Pn obtain a new matrix, i.e. Un(k). Furthermore, a factor is derived from the relationship of the k-Tribonacci matrix Tn(k) and the Pascal matrix Pn i.e. Pn = Tn(k)Un(k).
Using Real Options and Geometric Brownian Motion Methods to Evaluate Petroleum Projects in Indonesia Jalaludin, Paiz; Nuraini, Ani; Rahman, Alrafiful
Jambura Journal of Mathematics Vol 6, No 2: August 2024
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/jjom.v6i2.26718

Abstract

There are several methods for evaluating the value of a project. The most commonly used method is the Discounted Cash Flows (DCF) method which is more practical in its use. However, the DCF method still has several weaknesses, including not paying attention to the flexibility of the manager's decision-making when the project is carried out. The Real Options method enhances this by offering more flexible and varied models. This study uses Benninga's version of the binomial method to evaluate the value of petroleum projects with the characteristics of existing companies in Indonesia. In this study, oil prices are assumed to move following the Geometric Brownian Motion (GBM) model which is commonly used in modeling the movement of a fluctuating price. In addition, the author also modifies the binomial model by including expansion options, divestment options and a combination of both. The results of this study show that the more options that managers can choose in decision-making, the greater the opportunity for the company to optimize profits and minimize losses.

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