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Square : Journal of Mathematics and Mathematics Education
Published by Universitas Islam Negeri Walisongo Semarang
ISSN : 2714609X     EISSN : 27145506     DOI : 10.21580
Core Subject : Education,
Education Mathematics
Square : Journal of Mathematics and Mathematics Education menerbitkan artikel kajian di bidang pendidikan matematika dan kajian matematika
Arjuna Subject : Matematika - Aljabar dan Teori Bilangan
Articles 146 Documents
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Indeks Topologi Padmakar Ivan dan Szeged pada Graf Koprima Prima dari Grup Bilangan Bulat Modulo Abdurahim, Abdurahim; Pratiwi, Lia Fitta; Karang, Gusti Yogananda; Wardhana, I Gede Adhiya Wisnu; Irwansyah, Irwansyah; Awanis, Zatta Yumni; Romdhini, Mamika Ujianita
Square : Journal of Mathematics and Mathematics Education Vol. 6 No. 2 (2024)
Publisher : UIN Walisongo Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21580/square.2024.6.2.22836

Abstract

The Prime Coprime Graph is defined as a graph in which two distinct vertices are adjacent if and only if the greatest common divisor of their orders is 1, indicating that they are coprime. This research focuses on deriving general formulas for the Padmakar-Ivan index and the Szeged index for the coprime prime graph of the modulo integer group with n=p^k, where p is a prime number and k is not less than 2. As a result of this study, explicit formulas for the Padmakar-Ivan and Szeged indices were obtained, along with an analysis of the relationship between these two indices.Keywords: prime coprime graph, Padmakar-Ivan index, Szeged index.
Optimasi Rute Pendistribusian Barang Menggunakan Kombinasi Algoritma Branch and Bound dan Cheapest Insertion Heuristic Oeitama, Whennie Youngger; Oeitama, Whannie Youngger; Sitandi, Flora Frisilia; Mas'ud, Syamsuddin
Square : Journal of Mathematics and Mathematics Education Vol. 6 No. 2 (2024)
Publisher : UIN Walisongo Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21580/square.2024.6.2.22992

Abstract

The problem that often occurs in the process of distributing goods is that the distribution route is not optimal which results in higher costs and longer travel times. This can be solved by finding the shortest path that can be passed or widely recognized as the Traveling Salesman Problem (TSP). This study aims to determine the optimal distribution route for goods using a combination of the Branch and Bound and Cheapest Insertion Heuristic algorithms. The data used are in the form of location names and distances between locations that have been collected by Putra BJ Bangun in his research entitled Solving the Traveling Salesman Problem (TSP) with the Branch and Bound Method (Application of the Palembang Post Office Goods Transportation Problem). The results of the research indicate that the optimal route for the distribution of goods at the Palembang City Post Office, using a combination of both algorithms, is: KPRK Palembang → KPC Kapt A. Rivai → KPC Pakjo → KPC Talang Ratu → KPC Sukarami → KPC Alang Lebar → KPC Sekip → KPC Cinde → KPRK Palembang, spanning a total of 24.3 km. This route can be an alternative for salesmen to visit several KPCs and return to KPRK, with more efficient costs and time because it is the shortest route. In addition, this combination of algorithms is more efficient and simpler in terms of processing steps and computing time compared to using the Branch and Bound algorithm.Keywords: Traveling Salesman Problem (TSP), Branch and Bound, Cheapest Insertion Heuristic, Algorithm Combination, Optimal.
Model Kontrol Pada Ekosistem Perkebunan Teh Diana, Arista Fitri; Romadan, Gilang; Khumaeroh, Mia Siti; Aulia, Lathifatul; Iktiyar, Zakaria Bani
Square : Journal of Mathematics and Mathematics Education Vol. 6 No. 2 (2024)
Publisher : UIN Walisongo Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21580/square.2024.6.2.23274

Abstract

Tea plants are one of the commodities in Indonesia. In their development, the plantation ecosystem is heavily influenced by several factors, both internal and external factors. In the field of applied mathematics, mathematical modelling can be used to analyze the development of tea plant growth and their interaction each othe in their ecosystem. The mathematical model in this research is combining three main models, there are logistic model, epidemiological model, and predator prey model by adding fungicide and insecticide controls. Furthermore, local stability analysis is carried out and the optimal control problem is solved by Pontryagin maximum principle. The results of the analysis obtained five equilibrium points. Local stability analysis was carried out using the Routh Hurwitz criteria which showed the fifth equilibrium point is locally asymptotically stable. The basic reproduction number in the model is 0,99. Because  it can be concludeed that there is no spread of disease in the tea plantation ecosystem after a period of 5 years. The control provided can reduce pest and disease attacks. After being given control, the population of infected tea plants decreased by 93,21%, Empoasca pests decreased by 99,47%, and leaf roller caterpillars decreased by 99,31% compared to the model that was not given control.Keywords: Tea Plantation, Dynamical Model, Fungicide, Insecticide, Optimal Control.
Proses Penalaran Matematis Siswa SMP dalam Statistika Saminanto, Saminanto; Suwarno, Muji; Septianah, Septianah; Aistafania, Aistafania
Square : Journal of Mathematics and Mathematics Education Vol. 6 No. 2 (2024)
Publisher : UIN Walisongo Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21580/square.2024.6.2.23575

Abstract

Mathematical reasoning is very important for students to master. This research aims to reveal students' mathematical reasoning processes in solving statistical problems. This research used a descriptive qualitative method involving 25 students from class VII-D of SMP Negeri 16 Semarang. The research instrument consists of mathematical problems related to statistics. Data collection was carried out through written tests and interviews. Data were analyzed by data reduction, data presentation, and drawing conclusions. The research results showed that 16% of students had high mathematical reasoning abilities, 72% of students had moderate mathematical reasoning abilities, and 12% of students had low mathematical reasoning abilities. Based on the results of interviews, the mathematical reasoning process of lower group students is hampered by the process of presenting mathematical statements verbally, drawings, sketches or diagrams; make allegations; checking the validity of an argument; and students' lack of understanding of mathematical concepts. The implications of the findings in this research can be used as a reference for developing appropriate learning strategies to overcome students' difficulties in the mathematical reasoning process. Keywords: reasoning process, mathematics, statistics.
Perbandingan MAPE Metode Arima dan FTS Chen pada Peramalan Harga Minyak Mentah Widuri di Indonesia Ikhtiyar, Zakaria Bani; Sulistijanti, Wellie; Sari, Silvia Novita; Mahiruna, Adiyah
Square : Journal of Mathematics and Mathematics Education Vol. 6 No. 2 (2024)
Publisher : UIN Walisongo Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21580/square.2024.6.2.23579

Abstract

The need for crude oil greatly affects economic activities on a micro and macro scale. Indonesia is one of the countries that produces crude oil, although the amount produced is not as large as countries in the Middle East. The global price of crude oil has a direct impact on Indonesia's rising fuel prices. To find out the world price of crude oil in the future, forecasting can be done. Widuri type crude oil is one of the crude oils that is a priority in Indonesia. This study compares the accuracy of forecasting the price of Widuri type crude oil with the MAPE accuracy calculation method and the forecasting method compared is the ARIMA method with the FTS Chen method.Keywords: forecasting, Oil, ARIMA, Fuzzy Time Series (FTS) Chen.
Prediksi Harga Saham Syariah dengan Triple Exponential Smoothing Multiplicative Sofiyati, Noor; Saputro, Isnu Aji; Puspita, Dian
Square : Journal of Mathematics and Mathematics Education Vol. 6 No. 2 (2024)
Publisher : UIN Walisongo Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21580/square.2024.6.2.23602

Abstract

The prediction of sharia stock prices is currently an important concern for investors who want to invest according to Islamic principles. Investors generally invest to achieve profits, which are measured by the magnitude of returns or the rate of return on those sharia-compliant stocks. However, there is also a risk of loss if the investor makes the wrong decision. Often, investors simply guess whether the stock price will go up or down. In sharia stock analysis, accurate forecasting techniques are needed to help investors minimize risk and maximize potential returns. This research aims to predict the stock price of Bank Syariah Indonesia (BRIS. JK), which is one of the sharia stocks highly sought after by stock investors. The prediction for the next year is conducted using the multiplicative triple exponential smoothing method as a guide for investors in decision-making. This method was chosen because of its ability to capture seasonal patterns and trends based on historical stock data.  The forecasting results show that the price of BRIS.JK shares will continue to rise over the next year. This provides valuable information for investors to consider investing in that stock. Keywords: predictions, sharia shares, triple exponential smoothing.

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