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Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi
Published by Universitas Negeri Gorontalo
ISSN : 20879393     EISSN : 27763706     DOI : -
Core Subject : Science, Education,
Computer Science & IT Mathematics
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi is a national journal intended as a communication forum for mathematicians and other scientists from many practitioners who use mathematics in the research. Euler disseminates new research results in all areas of mathematics and their applications. Besides research articles, the journal also receives survey papers that stimulate research in mathematics and its applications. The scope of the articles published in this journal deal with a broad range of mathematics topics, including: Mathematics Applied Mathematics Statistics and Probability Applied Statistics Mathematics Education Mathematics Learning Computational Mathematics Science and Technology
Arjuna Subject : Matematika - Matematika (Lain-Lain)
Articles 188 Documents
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Analysis of Students' Errors in Solving HOTS Problems on Algebraic Materials Based on the Complexity Level of the Problem Based on Bloom's Theory Muliana, Yulia; Abdillah, Abdillah; Mahsup, Mahsup; Syaharuddin, Syaharuddin; Ahmodu, Abdul-Lateef Olamide; Iddrisu, Mohammed Muniru
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi EULER: Volume 11 Issue 2 December 2023
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/euler.v11i2.23053

Abstract

Mathematics discusses a lot about various kinds of problems that contain numbers that are classified as Higher Order Thinking Skills (HOTS). Math HOTS questions require a high level of thinking to solve the problem. Based on Bloom's theory, HOTS consists of analyzing (C4), evaluating (C5), and creating (C6). This study aims to determine the level of student errors in solving HOTS questions based on Bloom's theory. This research uses mixed method research, which is a combination of qualitative and quantitative methods, where the stages of this research include instrument development, instrument validation, data collection, data analysis and interpretation. The sample of this study used 25 students of class VIII junior high school in Mataram City. Researchers gave 10 essay questions that had been validated by material experts to students as research instruments. The results showed that students' understanding in solving HOTS problems was still lacking. For the error rate, it was found that there were no students who could solve the creating (C6) section with a percentage of 100% error, analyzing (C4) section with a percentage of 60%, evaluating (C5) 24%, applying (C3) 16%, understanding (C2) 12%, and in the remembering (C1) section there were no students who made mistakes with a percentage of 0% error. The biggest error was found in the creating part (C6), where the most mistakes were made by women with an average score of 50.55.
Analisis Dinamik Model SIRC pada Transmisi Hepatitis B dengan Sirosis Hati Febriyanti, Ririn; Prihandono, Bayu; Kiftiah, Mariatul
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi EULER: Volume 11 Issue 2 December 2023
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/euler.v11i2.22761

Abstract

Hepatitis B is an infection of the liver that can cause liver cirrhosis. Liver cirrhosis can occur due to the formation of scar tissue in individuals who have prolonged hepatitis B. Transmission of hepatitis B can occur in two ways, namely horizontal and vertical. In this research, this problem is modeled in a mathematical model using the SIRC model, where the population is grouped into four sub-populations, namely susceptible (S), infected (I), cured or immune due to vaccination (R) and cirrhosis. liver (C). From the analysis, two equilibrium points were obtained, namely the disease-free equilibrium point the endemic equilibrium point  The basic reproduction number   is obtained using the Next Generation Matrix. The analysis results show that if , then the disease-free equilibrium point is locally asymptotically stable, which means that hepatitis B transmission in liver cirrhosis does not spread. Meanwhile, if  , then the disease-free equilibrium point is locally asymptotically stable, which means that hepatitis B transmission in liver cirrhosis does not spread. Meanwhile, if , this means that hepatitis B transmission in liver cirrhosis is influenced by contact between susceptible and infectious individuals. To support the results of the analytical analysis, numerical simulations are provided to describe the behavior of the SIRC model.
Analisis Sensitivitas Model Linear Programming dalam Optimalisasi Penjualan Produk di Toko Anggrek Plastik Wakiden, Yuliyani; Wungguli, Djihad; Achmad, Novianita; Abbas, Nurhayati
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi EULER: Volume 12 Issue 1 June 2024
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/euler.v12i1.21625

Abstract

Optimizing sales at plastic orchid shops is an important matter to maximize profit by optimizing to get profit. The linear programming method is one of the operations research techniques to solve optimization problems using linear equations to find the optimal solution by taking into account the constraints which exists. In addition, a sensitivity analysis was carried out to determine the impact parameter changes in the constraints and objectives function that affect changes in production system performance in an effort to gain profits. Based on the linear programming model, the results of profit optimization are obtained Rp.419428,60 with variable values x4 = 60, x7 = 50, x8 = 26,28571. For the sensitivity analysis of the objective function, the values of DeltaC_1, DeltaC2 and DeltaC3 are obtained, it can be seen that the lower limit = 1167 and the upper limit = 4667.193. and for Analysis The sensitivity of the constrain function obtained by the NRK value has seven no constraints active and three active constraints.
Analisis Angin Permukaan Menggunakan Diagram Wind Rose untuk Keselamatan Penerbangan di Bandara Internasional Juwata Gede Yamuna Ceswaraningrat, Ida Bagus; Aryashta, Danurahni; Hermansyah, Muhammad
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi EULER: Volume 12 Issue 1 June 2024
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/euler.v12i1.25271

Abstract

Weather is one of the main factors that can affect flight performance and safety, where wind is an important parameter because it accounts for at least 10% of the total number of aircraft accidents that occur. To minimize this potential, this study was conducted to know the wind patterns that occurred throughout 2015 to 2023, the monthly wind patterns, the wind patterns in 6-hour intervals, and identifying periods with wind speeds = 10 knots. Juwata Tarakan International Airport was chosen as the location of this study by utilizing wind direction and speed data obtained from hourly METAR data by BMKG Tarakan. The analysis used quantitative methods presented in the form of wind rose diagrams and tables. The results showed that the airport is safe in carrying out take-off and landing operations for various types of aircraft, as evidenced by the percentage of wind speed frequency 10 knots each month reaching 98%. However, airline pilots need to be aware of crosswinds with wind speeds = 10 knots which have the potential to be quite large from July to September. The dominant wind direction in the early morning was calms and followed by the North, in the morning was calms and followed by the Northwest, in the afternoon was blowing from the East, then in the evening was calms and followed by the East. The dominant wind speed that blew throughout the day from early morning to night was in the range of 2 - 7 knots.
Pengelompokan Provinsi Berdasarkan Indikator Ekonomi, Pendidikan, Kesehatan, dan Kriminalitas di Indonesia Menggunakan Algoritma Centroid Linkage Candra, Yossy; Goejantoro, Rito; Dani, Andrea Tri Rian
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi EULER: Volume 12 Issue 1 June 2024
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/euler.v12i1.24887

Abstract

With its rich cultural diversity and abundant natural resource potential, Indonesia still faces various social science problems. Economic inequality, low quality of education, limited access to health, and high crime rates are social problems that hit various provinces in Indonesia. This research was conducted to group provinces in Indonesia based on social indicators, which include economy, education, health, and crime. This research uses cluster analysis with the Centroid Linkage algorithm to group provinces in Indonesia. The Centroid Linkage algorithm was chosen because of its advantages in producing optimal grouping. Test cluster validity using the Silhouette Coefficient (SC). The case studies used are variables that are thought to be related to economic, health, education, and crime problems in 34 provinces in Indonesia in 2021. Based on the analysis, the grouping results using the Centroid Linkage algorithm show that the optimal number of clusters is 2, with an SC value of 0.538. Cluster 1 consists of 33 provinces, and Cluster 2 consists of only one province, DKI Jakarta.
Analisis Perencanaan Produksi LPG Menggunakan Pendekatan Forecasting Vikaliana, Resista; Sutisna, Fazar
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi EULER: Volume 12 Issue 1 June 2024
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/euler.v12i1.25317

Abstract

Production planning in the oil and gas industry is a key element for operational efficiency and response to changes in market demand. This research focuses on smart and adaptive strategies through the application of two main approaches: forecasting. The purpose of this study is to determine the most suitable forecasting model from the five forecasting models (Simple Exponential Smoothing, Naive Method, Simple Moving Average, Weighted Moving Average, and Exponential Moving Average) to be used in LPG production and calculate the value of forecasting in the next five periods. Using LPG historical data from 2017 to September 2023.  Then the results are compared using forecasting error metrics such as MAPE and RMSE. It was concluded that the Simple Exponential Smoothing model showed a forecasting error value of 21.58% for MAPE and 72764.01 for RMSE. The Naive model has a forecast error value of 20.33% for MAPE and 78044.48 for RMSE. Meanwhile, the Simple Moving Average recorded a forecast error value of 20.28% for MAPE and 64449.76 for RMSE. On the other hand, the Weighted Moving Average shows a percentage error of 16.34% with an RMSE value of 48426.57. Finally, the Exponential Moving Average (EMA) shows an optimal level of accuracy, with a forecast error value of 16.01% for MAPE and 46046.42 for RMSE. Thus, from the five models evaluated, it can be concluded that the Exponential Moving Average (EMA) is the best model for forecasting LPG products, considering the lowest level of accuracy and percentage of forecasting errors. This study identifies the EMA as the best method in forecasting LPG production. The implication is a positive contribution to the accuracy of predictions and planning efficiency.
Peramalan Jumlah Wisatawan Kabupaten Belitung Menggunakan Simulasi Monte Carlo Marcelina, Elen; Agustin, Tria; Luthfiyaturrohmah, Khilma; Octaviani, Julia; Pramita, Agnes; Monika, Ines; Dalimunthe, Desy Yuliana; Nasrun, Aja
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi EULER: Volume 12 Issue 1 June 2024
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/euler.v12i1.25153

Abstract

One of Indonesia's mainstay sectors in receiving foreign exchange is tourism, especially during the Covid-19 pandemic, tourism contributed \$34 billion to state revenue. The tourism sector needs to be developed to support the country's economic growth. One of the priority destinations in Indonesia that can be developed is Bangka Belitung. The purpose of this study is to forecast the number of tourists in Belitung Regency so that it can facilitate the provision of facilities that support the tourism sector as well as promotional strategies to introduce tourist attractions in Belitung Regency to the general public. This study used data on the number of tourists in 2021, 2022, and 2023 in Belitung Regency which was analyzed using the Monte Carlo method. The accuracy of forecasting results is measured based on the Mean Absolute Percentage Error (MAPE) value. The number of tourists from this forecast is in accordance with the pattern of actual tourist data in Belitung Regency.The MAPE value in forecasting the number of tourists in Belitung Regency in 2022 is 21.45\%, which means that the prediction results produced are said to be good, while in 2023 it has an accuracy rate of 7.56\%, which means that the prediction results are said to be very good.
Eksplorasi Masalah Isoperimetrik pada Bangun Ruang Ali, Amrizal Marwan; Hakim, Denny Ivanal
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi EULER: Volume 12 Issue 1 June 2024
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/euler.v12i1.24918

Abstract

In two-dimensional figures, the isoperimetric problem is defined as finding two-dimensional figures that will produce the largest area among several two-dimensional figures with the same perimeter. In this research, the isoperimetric problem is extended to find the shape with the largest volume among the shapes that have the same surface area. The aim of this research is to solve isoperimetric problems in three-dimensional shapes obtained by comparing various shapes of three-dimensional shapes. The discussion in this research is limited to three-dimensional shapes in the form of prisms with regular n-sided bases, pyramids with regular n-sided bases, cylinders, cones, and spheres. This research method uses concepts from calculus, trigonometry and algebra to prove the isoperimetric theorem with a simple and elementary approach. The result of this research is that the order of the maximum volume of three-dimensional shapes if the surface area is the same from smallest to largest is a pyramid with an equilateral triangular base, a pyramid with a square base, a prism with an equilateral triangular base, a pyramid with a regular n-sided base (n≥5), cone, prism with square base, prism with regular n-sided base (n≥5), cylinder, and sphere.
Penentuan Komoditas Unggulan Subsektor Tanaman Pangan Menggunakan Metode Location Quotient (LQ) dan Fuzzy Analytical Hirarchy Process (FAHP) Resi, Edmund Ridwanto Alfian; Pangaribuan, Rapmaida Megawaty; Guntur, Robertus Dole; Ginting, Keristina Br
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi EULER: Volume 12 Issue 1 June 2024
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/euler.v12i1.25656

Abstract

This research aims to determine the leading commodities of the food crop subsector in Malaka Regency using the Location Quotient (LQ) and Fuzzy Analytical Hierarchy Process (FAHP) methods. The LQ method is used to identify commodities that have comparative advantages in this region. The results of the LQ calculation show that rice and corn are the base commodities in Malaka Regency because they are the most common in three sub-districts. Rice is the base commodity in the sub-districts of West Malaka (2.14), Central Malaka (2.24), and Weliman (1.70), while corn is the base commodity in the sub-districts of Kobalima (1.21), Wewiku (1.48), and Rinhat (1.26). The FAHP method is applied to integrate various assessment criteria in determining the priority of leading commodities. The results of the FAHP analysis show that the leading commodity in the food crop subsector in Malaka Regency is rice, with a weight value of 0.246 as the top priority, followed by corn, with a weight value of 0.198. The criterion that becomes the top priority in determining leading commodities is the availability of facilities and infrastructure, with a weight value of 0.327. Based on the research results, the combination of the LQ and FAHP methods provides more accurate results in determining leading commodities.
Analisis Peluang Jangka Panjang Mesin Penggilingan Padi Menggunakan Rantai Markov Nasib, Salmun K.; Hasan, Riyanto; Djakaria, Ismail; Payu, Muhammad Rezky Friesta; Nuha, Agusyarif Rezka; Nashar, La Ode
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi EULER: Volume 12 Issue 1 June 2024
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/euler.v12i1.25280

Abstract

The reliability of the machinery greatly affects the long-term potential of the grinding of pepper in Mustika village, Paguyaman district, and Boalemo district. The smoothness of the production process depends heavily on the condition of the machine, and if the machine's reliability is disrupted, then it will affect production. The purpose of this study is to determine the probability of the steady state of the machine and the timing of the maintenance of the grinding machine in the Mustika Village of Boalemo district. The Markov chain is a method used to deal with the purpose, whereas the Markov chain is the method used for predicting future events. The final result was an ergodic transition chance matrix, resulting in an estimated best maintenance time of 28 days of use with a steady state chance of 62.27\% of the machine being in good condition, 27.8\% in mild damage, and 9.93\% in severe damage.

Page 11 of 19 | Total Record : 188

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