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Yopi Andry Lesnussa, S.Si., M.Si
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yopi_a_lesnussa@yahoo.com
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Redaksi BAREKENG: Jurnal ilmu matematika dan terapan, Ex. UT Building, 2nd Floor, Mathematic Department, Faculty of Mathematics and Natural Sciences, University of Pattimura Jln. Ir. M. Putuhena, Kampus Unpatti, Poka - Ambon 97233, Provinsi Maluku, Indonesia Website: https://ojs3.unpatti.ac.id/index.php/barekeng/ Contact us : +62 85243358669 (Yopi) e-mail: barekeng.math@yahoo.com
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Kota ambon,
Maluku
INDONESIA
BAREKENG: Jurnal Ilmu Matematika dan Terapan
Published by Universitas Pattimura
ISSN : 19787227     EISSN : 26153017     DOI : https://search.crossref.org/?q=barekeng
BAREKENG: Jurnal ilmu Matematika dan Terapan is one of the scientific publication media, which publish the article related to the result of research or study in the field of Pure Mathematics and Applied Mathematics. Focus and scope of BAREKENG: Jurnal ilmu Matematika dan Terapan, as follows: - Pure Mathematics (analysis, algebra & number theory), - Applied Mathematics (Fuzzy, Artificial Neural Network, Mathematics Modeling & Simulation, Control & Optimization, Ethno-mathematics, etc.), - Statistics, - Actuarial Science, - Logic, - Geometry & Topology, - Numerical Analysis, - Mathematic Computation and - Mathematics Education. The meaning word of "BAREKENG" is one of the words from Moluccas language which means "Counting" or "Calculating". Counting is one of the main and fundamental activities in the field of Mathematics. Therefore we tried to promote the word "Barekeng" as the name of our scientific journal also to promote the culture of the Maluku Area. BAREKENG: Jurnal ilmu Matematika dan Terapan is published four (4) times a year in March, June, September and December, since 2020 and each issue consists of 15 articles. The first published since 2007 in printed version (p-ISSN: 1978-7227) and then in 2018 BAREKENG journal has published in online version (e-ISSN: 2615-3017) on website: (https://ojs3.unpatti.ac.id/index.php/barekeng/). This journal system is currently using OJS3.1.1.4 from PKP. BAREKENG: Jurnal ilmu Matematika dan Terapan has been nationally accredited at Level 3 (SINTA 3) since December 2018, based on the Direktur Jenderal Penguatan Riset dan Pengembangan, Kementerian Riset, Teknologi, dan Pendidikan Tinggi, Republik Indonesia, with Decree No. : 34 / E / KPT / 2018. In 2019, BAREKENG: Jurnal ilmu Matematika dan Terapan has been re-accredited by Direktur Jenderal Penguatan Riset dan Pengembangan, Kementerian Riset, Teknologi, dan Pendidikan Tinggi, Republik Indonesia and accredited in level 3 (SINTA 3), with Decree No.: 29 / E / KPT / 2019. BAREKENG: Jurnal ilmu Matematika dan Terapan was published by: Mathematics Department Faculty of Mathematics and Natural Sciences University of Pattimura Website: http://matematika.fmipa.unpatti.ac.id
Articles 1,369 Documents
SIMPLE ALGORITHM TO CONSTRUCT CIRCULAR CONFIDENCE REGIONS IN CORRESPONDENCE ANALYSIS USING R Lestari, Karunia Eka; Utami, Marsah Rahmawati; Yudhanegara, Mokhammad Ridwan
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 16 No 1 (2022): BAREKENG: Jurnal Ilmu Matematika dan Terapan
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (804.913 KB) | DOI: 10.30598/barekengvol16iss1pp065-074

Abstract

Correspondence analysis has been widely applied in various fields as a graphical method to depict the association structure between two categorical random variables on a low-dimensional plot. This study built a simple algorithm to determine the principal coordinates and construct the circular confidence regions on the correspondence plot. In this algorithm, the determination of the standard residual matrix and the principal coordinates is built directly from the contingency table (without calculating a correspondence matrix). The algorithm was developed using R and applied to data on Covid-19 cases in West Java.
IMPACT OF FEAR BEHAVIOR ON PREY POPULATION GROWTH PREY-PREDATOR INTERACTION Pratama, Rian Ade
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 16 No 2 (2022): BAREKENG: Jurnal Ilmu Matematika dan Terapan
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (757.075 KB) | DOI: 10.30598/barekengvol16iss2pp371-378

Abstract

Experiments on the living environment of vertebrate ecosystems, it has been shown that predators have a massive influence on the demographic growth rate of prey. The proposed fear effect is a mathematical model that affects the reproductive growth rate of prey with the Holling Type I interaction model. Mathematical analysis of the prey-predator model shows that a strong anti-predator response can provide stability for prey-predator interactions. The parameter area taken will be shown for the extinction of the prey population, the balance of population survival, and the balance between the prey birth rate and the predator death rate. Numerical simulations were given to investigate the biological parameters of the population (birth rate, natural mortality of prey, and predators). Another numerical illustration that is seen is the behavior of prey which is less sensitive in considering the risk of predators with the growth rate of prey.
ORDINAL LOGISTIC REGRESSION MODEL AND CLASSIFICATION TREE ON ORDINAL RESPONSE DATA Jajang, Jajang; Nurhayati, Nunung; Mufida, Suci Jena
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 16 No 1 (2022): BAREKENG: Jurnal Ilmu Matematika dan Terapan
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (809.781 KB) | DOI: 10.30598/barekengvol16iss1pp075-082

Abstract

Logistic regression (LR) is a model that associates the relationship between category-type response variables with quantitative or quantitative and qualitative predictor variables. The prediction of the LR model is in the form of probability. This research studied logistic regression (LR) models and Classification Trees in the case of ordinal response variable types. The data used in this research from The Central Statistics Agency (BPS). The research variables used are Human Development Index (HDI), gross enrollment rate for high school, percentage of poor people, open unemployment, and percentage of married age <17 years and some of the related predictor variables in Central Java Province in 2018. The HDI data is categorized into three levels, namely very high, high, and moderate. The results of the ordinal LR model show that there are three factors that influence the HDI, they are the gross enrollment rate for high school (GER), the percentage of the poor, and the proportion of women who married at the age of less than 17 years. Comparison of the accuracy LR model and Classification Tree in classification analysis shows that if the training data used is 60%-70% the LR model is better than Classification Tree, while the training data used is more than 70% and less than 86% then the Classification Tree model is better than LR.
IDENTIFICATION OF FACTORS IN SELECTING HIGH SCHOOL USING FACTOR ANALYSIS Suciptawati, Ni Luh Putu; Jayanegara, Ketut
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 16 No 1 (2022): BAREKENG: Jurnal Ilmu Matematika dan Terapan
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (804.905 KB) | DOI: 10.30598/barekengvol16iss1pp083-090

Abstract

Parents want the best education for their children. Before starting the academic year, parents focus on finding the most suitable schools for their children. This study aimed to examine the factors affecting parents’ decision-making when selecting schools. A sample of 150 parents whose children are incoming high school students in 2020/2021 is involved in this study and selected using a snowball sampling technique and confirmatory factor analysis. This study has shown that the quality of the teachers is the factor that parents consider the most in their decision-making process. It is followed by the tuition and fee costs, the school facilities, and the school achievements.
THE NON-DEGENERACY OF THE SKEW-SYMMETRIC BILINEAR FORM OF THE FINITE DIMENSIONAL REAL FROBENIUS LIE ALGEBRA Kurniadi, Edi
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 16 No 2 (2022): BAREKENG: Jurnal Ilmu Matematika dan Terapan
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (429.202 KB) | DOI: 10.30598/barekengvol16iss2pp379-384

Abstract

A Frobenius Lie algebra is recognized as the Lie algebra whose stabilizer at a Frobenius functional is trivial. This condition is equivalent to the existence of a skew-symmetric bilinear form which is non-degenerate. On the other hand, the Lie algebra is Frobenius as well if its orbit on the dual vector space is open. In this paper, we study the skew-symmetric bilinear form of finite dimensional Frobenius Lie algebra corresponding to its Frobenius functional. The work aims to prove that a Lie algebra of dimension is Frobenius if and only if the -th derivation of the Frobenius functional is not equal to zero. Indeed, this condition implies that the skew-symmetric bilinear form is non-degenerate and vice versa. In addition, some properties of Frobenius functionals are obtained. Furthermore, the computations are given using the coadjoint orbits and the structure matrix. As a discussion, we can investigate these results in the algebra case whether giving rise to a left-invariant K hler structure of a Frobenius Lie group or not.
STATISTICAL CONTROL ANALYSIS OF THE STUDENT’S FINAL ASSIGNMENT COMPLETION PERIOD AT THE MATHEMATICS AND NATURAL SCIENCES FACULTY Febriani, Arika; Susanti, Dewi Sri; Hijriati, Na'imah
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 16 No 2 (2022): BAREKENG: Jurnal Ilmu Matematika dan Terapan
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (573.525 KB) | DOI: 10.30598/barekengvol16iss2pp385-392

Abstract

The final assignment is one of the requirements to get a bachelor’s degree for college students at the Faculty of Mathematics and Natural Sciences (FMIPA) University of Lambung Mangkurat (ULM). The average period of completion of the final assignment in the year 2015 until 2019 is 8 months, while the determined specification by the guideline is 6 months. The aim of this research is to identify the quality control of the final assignment completion process and whether satisfy the determined specification using statistical quality control. The used data in this research is the student’s final assignment completion period (variable data) and the nonconforming proportion of data (attribute data). The and control charts are used for variable data and control chart for attribute data and process capability analysis. The result of variable data is that the average period of final assignment completion is statistically in control with a control limit of months. For attribute data concluded that final assignment completion is statistically in control with a big average proportion that is . For the capability analysis process by index and value sequentially is and for the DPU value is . This shows that the completion period of the student’s final assignment of FMIPA ULM is not capable to fulfill the specified standard of the period.
THE APPLICATION OF MUSICAL INTELLIGENCE-BASED MATHEMATICS LEARNING ON PLANE SHAPE DISCUSSION Ismah, Ismah; Prasetyo, Bayu Aji Eko
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 16 No 2 (2022): BAREKENG: Jurnal Ilmu Matematika dan Terapan
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (680.484 KB) | DOI: 10.30598/barekengvol16iss2pp695-702

Abstract

In this study, Gardner's theory of multiple intelligences was used to conduct experimental research on several elementary school students at TPQ Al-Ikhwan Meruya Jakarta, Indonesia. The initial stage of this study was to classify the types of student intelligence using multiple intelligence instruments adopted from Shearer in 1997. Furthermore, learning strategies are applied to students according to the kind of intelligence. This study observed the differences in mathematics learning outcomes of students who have musical intelligence before and after the application of interactive learning media in the form of music containing a song with the title "Aku Bangun Datar" and the lyrics are examples of a two-dimensional figure with natural objects. The research method used was a quantitative quasi-experimental type with a pre-test-post-test design. Research data analysis using a statistical t-test for the difference in the mean of the two populations. The results of data analysis obtained a t value of -8,000, while the t table is -2.0686. The comparison between the t value and the t table is known that t is more significant than the t table, so the hypothesis is rejected. It means that there is a significant difference in students' knowledge about shapes before and after using music media.
TOTAL EDGE AND VERTEX IRREGULAR STRENGTH OF TWITTER NETWORK Rusdi, Edy Saputra; A. Syahrir, Nur Hilal
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 16 No 1 (2022): BAREKENG: Jurnal Ilmu Matematika dan Terapan
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (805.548 KB) | DOI: 10.30598/barekengvol16iss1pp091-098

Abstract

Twitter data can be converted into a graph where users can represent the vertices. Then the edges can be represented as relationships between users. This research focused on determining the total edge irregularity strength (tes) and the total vertices irregularity strength (tvs) of the Twitter network. The value could be determined by finding the greatest lower bound and the smallest upper bound. The lower bound was determined by using the properties, characteristics of the Twitter network graph along with the supporting theorems from previous studies, while the upper bound is determined through the construction of the total irregular labeling function on the Twitter network. The results in this study are the tes(TW)=18 and tvs(TW)=16.
PRINCIPAL COMPONENT ANALYSIS-VECTOR AUTOREGRESSIVE INTEGRATED (PCA-VARI) MODEL USING DATA MINING APPROACH TO CLIMATE DATA IN THE WEST JAVA REGION Munandar, Devi; Ruchjana, Budi Nurani; Abdullah, Atje Setiawan
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 16 No 1 (2022): BAREKENG: Jurnal Ilmu Matematika dan Terapan
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1056.381 KB) | DOI: 10.30598/barekengvol16iss1pp099-112

Abstract

Over a long time, atmospheric changes have been caused by natural phenomena. This study uses the Principal Component Analysis (PCA) model combined with Vector Autoregressive Integrated (VARI) called the PCA-VARI model through the data mining approach. PCA reduces ten variables of climate data into two principal components during ten years (2001-2020) of climate data from NASA Prediction Of Worldwide Energy Resources. VARI is a non-stationary multivariate time series to model two or more variables that influence each other using a differencing process. The Knowledge Discovery in Database (KDD) method was conducted for empirical analysis. Pre-processing is an analysis of raw climate data. The data mining process determines the proportion of each component of PCA and is selected as variables in the VARI process. The postprocessing is by visualizing and interpreting the PCA-VARI model. Variables of solar radiation and precipitation are strongly correlated with each measurement location data. A forecast of the interaction of variables between locations is shown in the results of Impulse Response Function (IRF) visualization, where the climate of the West Java region, especially the Lembang and Bogor areas, has strong response climate locations, which influence each other.
VISIT PROFILES AND TOURISM DESTINATION THRESHOLDS USING POLYNOMIAL AND MALTHUSIAN Dalengkade, Mario Nikolaus; Kaseside, Meidy; Maatoke, Cornelia Dolfina; Boleu, Fiktor Imanuel; Buka, Oktosea; Loklomin, Samsul Bahri; Mangimbulude, Jubhar Christian
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 16 No 1 (2022): BAREKENG: Jurnal Ilmu Matematika dan Terapan
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (650.581 KB) | DOI: 10.30598/barekengvol16iss1pp113-120

Abstract

Kumo, Kupa-Kupa, Pitu, and Luari beaches are tourist destinations that are always crowded with local and foreign tourists. This becomes interesting, because recently the problem of human population density in an area has become a hot topic for study. Using the polynomial method, it resulted in 6th order with R2 0.950 (Kumo), 0.868 (Kupa-Kupa), 0.799 (Pitu), and 0.399 (Luari) representing the distribution of visits. The highest levels of visits occurred in the twelfth, fifth, fourth, and sixth months, respectively. The analysis by applying the logistics function shows the highest level of visits throughout 2018 which are Kumo 283.95 tourists, Kupa-Kupa 342.12 tourists, Pitu 81.77 tourists and, Luari 1088.35 tourists. Based on the threshold analysis, the threshold value shows 255.56 tourists (Kumo), 297.08 tourists (Kupa-Kupa), 65.58 tourists (Pitu), and 836.42 tourists (Luari). The results of this study inform the level of tourist visits exceeding the threshold value in four tourist destinations. Given that the four tourist destinations carry the concept of ecology as a selling point, the manager needs to reorganize the level of tourist visits. Excess levels of tourist arrivals can have a negative impact on the comfort and sustainability of tourist destinations

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