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Semeton Mathematics Journal
Published by Universitas Mataram
ISSN : -     EISSN : 30627737     DOI : https://doi.org/10.29303/semeton.v1i1.203
Core Subject : Education,
Mathematics
Fokus dan Ruang Lingkup dari Semeton Mathematics Journal adalah sebagai berikut - Analisis - Aljabar - Matematika Terapan - Pemodelan Matematika - Sistem dan Kontrol - Matematika Diskrit dan Kombinatorik - Statistik dan Stokastik - Optimasi - Ilmu Komputasi
Arjuna Subject : Matematika - Matematika (Lain-Lain)
Articles 20 Documents
 1   2 
Simulasi Penghilangan Noise pada Sinyal Suara menggunakan Metode Fast Fourier Transfrom Redza Dwi Septiawan; Putri Rahmasari Rayes; Nuzla Af'idatur Robbaniyyah
Semeton Mathematics Journal Vol 1 No 1 (2024): April
Publisher : Program Studi Matematika

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/semeton.v1i1.203

Abstract

Sound signals are widely used such as when communicating, recording, or medical testing. However, voice signals are often contaminated by noise or interference which can reduce the quality and clarity of sound caused by weather, being in crowded places and other factors. Therefore, noise reduction in voice signals is important in voice signal processing. This study aims to reduce noise in voice signals using the FFT method. The Fast Fourier Transform (FFT) method is used to identify frequencies and reduce noise in voice signals. The data used is in the form of recordings, namely the sound of speech and the sound of rain as noise. This research was conducted with the help of MATLAB R2022a software. The results of this study indicate that the FFT method is effective in reducing noise in the voice signal and improving the sound quality to be cleaner and clearer than the original sound signal before noise removal is performed.
Simulasi dan Akurasi Numerik Persamaan Gelombang Satu Dimensi Menggunakan Aproksimasi Metode Beda Hingga Nuzla Af'idatur Robbaniyyah; Annisa Sri Muliyanti; Dede Ambiya Malasso; Dwi Hafizatul Pajri
Semeton Mathematics Journal Vol 1 No 1 (2024): April
Publisher : Program Studi Matematika

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/semeton.v1i1.204

Abstract

The wave equation is a form of partial differential equation that represents physical phenomena on classical physics that are often encountered in everyday life. For example a mechanical waves, such as water waves, sound waves, and seismics waves or light waves. In this research, discussed one-dimensional homogeneous wave equation. Analytical solutions and numerical solutions will be peeled in this research. The numerical solution is approached by using the finite center difference method with an explicit scheme. The solution obtained is simulated with MATLAB software. The results show that the analytical solution has the same pattern as the numerical solution. In other hand, a good level of accuracy was also is obtained using different methods by using a Mean Absolute Percentage Error (MAPE) value of 12%.
Optimalisasi Parameter Double Exponential Smoothing menggunakan Metode Golden Section pada Peramalan Harga Saham Penutupan PT. Telkom Indonesia (Persero) Halawatun Tajalli; Lisa Harsyiah; Zulhan Widya Baskara
Semeton Mathematics Journal Vol 1 No 1 (2024): April
Publisher : Program Studi Matematika

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/semeton.v1i1.205

Abstract

The process of predicting an event in the future is called forecasting. A forecasting model that functions to predict time series data with a trend pattern is Double Exponential Smoothing (DES). This study aims to compare one-parameter Brown DES with two-parameter Holt DES using the golden section method. The data used is monthly data on closing share prices of PT. Telkom Indonesia (Persero) for the period January 2011 - December 2021. Golden Section is an optimization method for finding parameter values that minimize the MAPE (Mean Absolute Percentage Error) function. The results of calculating the optimum parameter values for DES Brown α=0.420766 with a MAPE value of 4.871787804% and for DES Holt α=0.506578 and β=0.458980 with a MAPE value of 4.7233301647%. According to the MAPE value, the models used are very accurate for forecasting. DES Holt was selected as the best model for forecasting based on the smallest MAPE value.
Traffic Waiting Time Optimization: An Effective Effort to Overcome Congestion at Gede Ngurah Cakranegara Intersection Setiawati Setiawati; Dhea Wasila Rahmi; Shofiyurrahman Syauqi; Dara Purnamasari
Semeton Mathematics Journal Vol 1 No 1 (2024): April
Publisher : Program Studi Matematika

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/semeton.v1i1.206

Abstract

Intersections are places that are prone to traffic congestion. This is due to the location and function of the intersection, which if left unchecked will lead to accidents. To overcome this problem, traffic lights are made to regulate traffic flow conditions. Gede Ngurah Cakranegara Intersection is an intersection that has high congestion conditions, this is due to its location in the city center and its function as a main road. In addition, the trigger for congestion at the Gede Ngurah Cakranegara intersection is the waiting time which is still not optimal and the lack of orderly drivers in obeying the traffic lights. Thus, the purpose of this study is to optimize the total waiting time at the Gede Ngurah Cakranegara intersection. Total waiting time optimization is done using compatible graph. The compatible graph in this case will describe the condition of traffic flows that will run simultaneously without interfering with each other, so that they are safe and do not collide with each other. This study uses primary data obtained from field observations conducted in the morning, afternoon and evening. After optimization, the total waiting time at the Gede Ngurah Cakranegara intersection following the light signal is 180 seconds and the total waiting time for those who do not follow the light signal is 120 seconds. Compared to the previous waiting time of 538 seconds, a more optimal time was obtained.
Penerapan Algoritma Greedy Untuk Menyelesaikan Permasalahan Integer Knapsack (Studi Kasus : Indah Logistik Cargo Mataram) Setiawati Setiawati; Elyin Fitrawati; Razma Rizqiyah Awwaliyah; Baiq Nadiva Alivia; Syamsul Bahri
Semeton Mathematics Journal Vol 1 No 1 (2024): April
Publisher : Program Studi Matematika

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/semeton.v1i1.210

Abstract

Distribution is one form of problem that can be solved using the optimization process. There are various things that can be optimized in distribution problems, including maximizing the weight of goods to be distributed so that it can save distribution costs and provide benefits for the company. One of the companies engaged in the distribution of goods is Indah Logistik Cargo, Mataram branch, where in the distribution process there are goods with quantities that exceed the capacity of the shipping equipment. Therefore, it is necessary to select goods to be delivered with the maximum weight but not exceeding the capacity that provides greater benefits to the company. This problem is one of the integer knapsack problems. In this study, researchers used greedy algorithms, namely greedy by profit, greedy by weigth and greedy by density to optimize profits. From the research results, it is obtained that the method that has a greater profit in the distribution process at Indah Logistik Cargo Mataram is greedy by density, which amounts to ???????? 2,603,138.3.
Studi Keprimaan dalam Modul: Submodul Prima, Prima Lemah, Hampir Prima, dan n- Hampir Prima Jinan Ambar; Muhammad Afdhaluzzikri
Semeton Mathematics Journal Vol 1 No 2 (2024): Oktober
Publisher : Program Studi Matematika

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/semeton.v1i2.216

Abstract

Module theory, as a branch of abstract algebra, is a field of study that extends the concept of vector spaces into a more general framework, finding broad applications across various mathematical fields. The concept of prime numbers, initially abstracted by Dedekind in the form of prime ideals, underwent further development by mathematicians. Anderson generalized it into weak prime ideals, while Sharma developed the concept of nearly prime ideals. After Noether introduced the concept of modules, Dauns brought this primality notion into module theory under the name of prime submodules. Subsequently, Khashan generalized it into weak and nearly prime submodules. The latest development came from Azizi, who introduced the concept of nearly prime submodules into n-nearly prime submodules. In this context, this article discusses several key characteristics of prime submodules and their generalizations, providing a deep understanding of their fundamental structures and properties. Through this understanding, we can explore various applications of module theory in various mathematical contexts and delve into the complexities inherent in the study of primality and submodule structures within modules. The purpose of this research is to explain some structures and properties of prime submodules. This research uses the literature review method, which is by collecting information from various reading sources related to prime submodules and their generality. The result of this research is an explanation of some structures and properties of prime submodules and their examples.
Karakteristik Beberapa Submodul dari Suatu Modul Muhammad Afdhaluzzikri; Jinan Ambar
Semeton Mathematics Journal Vol 1 No 2 (2024): Oktober
Publisher : Program Studi Matematika

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/semeton.v1i2.217

Abstract

In the context of group cohomology, free modules are used to construct projective resolutions, while torsion modules play a significant role. In the theory of invariants, free modules describe all polynomial invariants, whereas torsion modules are relevant in the study of modular invariants. In elliptic curve cryptography, torsion points ensure security, with free modules used for arithmetic operations. The article also discusses the structure and properties of submodule types such as torsion, free, indecomposable, cyclic, and pure submodules, highlighting the importance of understanding the various applications of free and torsion modules.
Penerapan Pusat Dan Pusat Berat Graf Dalam Penentuan Lokasi Strategis Pembangunan Fasilitas Umum Di Pulau Lombok Nandha Waldana Lata; Zata Yumni Awanis; Qurratul Aini
Semeton Mathematics Journal Vol 1 No 1 (2024): April
Publisher : Program Studi Matematika

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/semeton.v1i1.225

Abstract

Determining a strategic location in a region can be done using the Center and Centroid of a graph. This involves transforming a region's map into a graph form, then identifying the center and centroid of the graph. The determination of the centroid is done by identifying the minimum spanning tree of the graph using Kruskal's and Prim's algorithms. In this study, strategic location determination was carried out to find suitable places for constructing public facilities such as hospitals, schools, and others on Lombok Island. The results showed that Lenek, Pringgasela, and Suralaga Districts are the most strategic areas in Lombok Timur Regency for building public facilities. For other regencies, namely Lombok Tengah, Lombok Barat, Lombok Utara, and the city of Mataram, one strategic location was found in each, specifically in Praya District, Kediri District, Gangga District, and Selaparang District, respectively.
Penyelesaian Polinomial Irreducible pada Zp dan FPB, KPK Dua Polinomial pada Fn Menggunakan Python Yudha Sakti Nusantara; Wahyu Maulana
Semeton Mathematics Journal Vol 1 No 2 (2024): Oktober
Publisher : Program Studi Matematika

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/semeton.v1i2.227

Abstract

This research aims to solve the irreducible polynomial problem over finite field ​Zp and determine the Greatest Common Divisor (GCD) and Least Common Multiple (LCM) of two polynomials over finite field Fn using Python programming language. In the digital age, programming plays an important role in various disciplines. Python, with its simple syntax and computational libraries like SymPy, has become a top choice among the various programming languages available. Polynomials appear frequently in the computer field, especially in cryptographic algorithms, data compression, and error coding. This research utilizes Euclid's Algorithm to determine the GCD and LCM of two polynomials over a finite field Fn, as well as evaluate the irreducibility of polynomials over a finite field ​Zp. Determining irreducibility is very important in polynomial theory and is a challenging task if done manually. With the help of Python, this research produces a script or syntax that is able to automate the process, thus saving time and reducing complexity. The final result of this research is an effective Python script or syntax to determine the GCD and LCM of two polynomials over Fn, as well as evaluate whether a polynomial is reducible or irreducible over ​Zp.
Pengendalian Kualitas Produksi Air Minum Dalam Kemasan Menggunakan Peta Kendali Nur Halifatunnisa; Zulhan Widya Baskara; Lisa Harsyiah
Semeton Mathematics Journal Vol 1 No 2 (2024): Oktober
Publisher : Program Studi Matematika

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/semeton.v1i2.239

Abstract

The most popular drinking water product produced by PT.X is the 220 ml glass packaging product. This product experienced the most production defects at 0.086% of total production. Based on observations that have been made, there are several problems that cause defective products, such as damaged packaging and poor water quality. So PT.X in maintaining production quality must improve the process of maintaining quality control. The aim of this research is in line with the problems faced by PT.X, namely controlling the quality of bottled drinking water using a decision on belief control chart. Control charts are used to monitor whether product defect data is statistically controlled or not. One of the control charts used to monitor whether product defect data is statistically controlled or not is the Decision on Belief control chart, because the Decision on Belief control chart is more sensitive to data shifts so that faster in detecting data that goes outside control limits or is out of control. Based on the graph of the results of the decision on belief control chart, of the 25 data there are 24 data that are out of the upper control limit and the lower control limit, meaning that the decision on belief control chart is sensitive to data shifts in detecting out of control data. Based on the results of the average run length calculation, it is concluded that the decision on belief control chart is weak in detecting out of control data because the shift value obtained is getting bigger.

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