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INDONESIA
Jurnal Matematika UNAND
Published by Universitas Andalas
ISSN : 2303291X     EISSN : 27219410     DOI : -
Core Subject : Science, Education,
Computer Science & IT Mathematics
Fokus dan Lingkup dari Jurnal Matematika FMIPA Unand meliputi topik-topik dalam Matematika sebagai berikut : Analisis dan Geometri Aljabar Matematika Terapan Matematika Kombinatorika Statistika dan Teori Peluang.
Arjuna Subject : -
Articles 858 Documents
 68   69   70   71   72 
A COMPUTATION PERSPECTIVE FOR THE EIGENVALUES OF CIRCULANT MATRICES INVOLVING GEOMETRIC PROGRESSION SISWANDI SISWANDI; SUGI GURITMAN; NUR ALIATININGTYAS; TEDUH WULANDARI
Jurnal Matematika UNAND Vol 12, No 1 (2023)
Publisher : Departemen Matematika dan Sains Data FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmua.12.1.65-77.2023

Abstract

In this article, the eigenvalues and inverse of circulant matrices with entries in the first row having the form of a geometric sequence are formulated explicitly in a simple form in one theorem. The method for deriving the formulation of the determinant and inverse is simply using elementary row or column operations. For the eigenvalues, the known formulation of the previous results is simplified by considering the specialty of the sequence and using cyclic group properties of unit circles in the complex plane. Then, the algorithm of eigenvalues formulation is constructed, and it shows as a better computation method.
MENGUKUR KERAGAMAN WARISAN BUDAYA TAKBENDA INDONESIA DENGAN INDEKS GINI Rizka Pradita Prasetya; Dian Islamiaty Puteri; Putri Monika; Atje Setiawan Abdullah; Budi Nurani Ruchjana
Jurnal Matematika UNAND Vol 12, No 1 (2023)
Publisher : Departemen Matematika dan Sains Data FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmua.12.1.95-107.2023

Abstract

Indeks gini merupakan alat mengukur derajat ketidakmerataan distribusi yang didasarkan pada kurva Lorenz. Indeks Gini berkisar dari nol hingga satu, di mana nol mewakili kesetaraan sempurna dan satu mewakili keberagaman yang hampir sempurna. Dalam penelitian ini, indeks gini digunakan untuk melihat kemerataan distribusi keragaman warisan budaya takbenda Indonesia. Hasil analisis menunjukkan bahwa indeks gini Warisan Budaya Takbenda yang telah ditetapkan lebih besar dibandingkan Warisan Budaya Takbenda yang tercatat.
Peramalan Harga Minyak Mentah Dunia Menggunakan Metode Fuzzy Time Series Logika Singh Sahroni Hasibuan; Yudiantri Asdi; Admi Nazra
Jurnal Matematika UNAND Vol 13, No 1 (2024)
Publisher : Departemen Matematika dan Sains Data FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmua.13.1.66-74.2024

Abstract

Minyak mentah merupakan komoditas dan sumber energi yang sangat dibutuhkan bagi pertumbuhan suatu negara. Harga minyak mentah mengalami peningkatan dan penurunan. Naiknya harga minyak mentah akan mempengaruhi perekonomian dan pasar keuangan. Sedangkan turunnya harga minyak mentah akan mengakibatkan masalah defisit anggaran yang serius bagi negara-negara pengekspor minyak. Oleh sebab itu perlu dilakukannya peramalan harga minyak mentah dunia untuk mengurangi dampak dari fluktuasi harga minyak mentah dunia tersebut. Metode peramalan yang dapat digunakan dalam meramalkan data time series harga minyak mentah dunia adalah dengan menggunakan metode fuzzy time series logika Singh. Data yang digunakan merupakan data sekunder yaitu data harga minyak mentah dunia WTI periode November 2014 hingga Juni 2022. Hasil peramalan data harga minyak mentah dunia dengan menggunakan metode tersebut kemudian diukur tingkat akurasinya menggunakan MAPE. Dari metode peramalan fuzzy time series logika Singh diperoleh nilai MAPE sebesar 0.30%. Berdasarkan hasil MAPE tersebut, peramalan harga minyak mentah dunia dengan model Singh mempunyai tingkat akurasi sangat bagus.
DUAL KOTHE-TOEPLITZ UNTUK RUANG BARISAN VEKTOR Mizan Ahmad
Jurnal Matematika UNAND Vol 12, No 4 (2023)
Publisher : Departemen Matematika dan Sains Data FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmua.12.4.293-298.2023

Abstract

In this paper, we discuss about some classes of vector sequence spaceson w(R^n). We observe their completeness and the relationships between them. At the end of this paper, we construct the Kothe-Toeplitz dual of some vector sequence spaces.
AN ANALYSIS OF CLUSTER TIMES SERIES FOR THE NUMBER OF COVID-19 CASES IN WEST JAVA Nurfitri Imro'ah; Nur'ainul Miftahul Huda
Jurnal Matematika UNAND Vol 12, No 3 (2023)
Publisher : Departemen Matematika dan Sains Data FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmua.12.3.203-212.2023

Abstract

The government may be able to develop more effective strategies for dealing with COVID-19 cases if it groups districts and cities according to the features of the number of Covid-19 cases being reported in each district or city. The data can be more easily summarized with the help of cluster analysis, which organizes items into groups according to the degree of similarity between members. Since it is possible to group more than one period together, the generation of clusters based on time series is a more efficient method than clusters that are created for each individual unit. Using a time series cluster hierarchical technique that has complete linkage, the purpose of this study is to categorize the number of instances of Covid-19 that have been found in West Java by district or city. The data that was used comes from monthly reports of Covid-19 instances compiled by West Java districts from 2020 to 2022. The Autocorrelation Function (ACF) distance cluster was utilized in this investigation to determine how closely cluster members are related to one another. According to the findings, there could be as many as seven separate clusters, each including a unique assortment of districts and cities. Cluster 3, which is comprised of three different cities and regencies, including Bandung City, West Bandung Regency, and Sumedang Regency, has an average number of cases that is 66, making it the cluster with the highest number of cases overall. A value of 0.2787590 is obtained for the silhouette coefficient as a result of the established grouping. This value suggests that the structure of the newly created cluster is quite fragile.The government may be able to develop more eective strategies fordealing with COVID-19 cases if it groups districts and cities according to the featuresof the number of Covid-19 cases being reported in each district or city. The data canbe more easily summarized with the help of cluster analysis, which organizes items intogroups according to the degree of similarity between members. Since it is possible togroup more than one period together, the generation of clusters based on time series isa more ecient method than clusters that are created for each individual unit. Using atime series cluster hierarchical technique that has complete linkage, the purpose of thisstudy is to categorize the number of instances of Covid-19 that have been found in WestJava by district or city. The data that was used comes from monthly reports of Covid-19 instances compiled by West Java districts from 2020 to 2022. The AutocorrelationFunction (ACF) distance cluster was utilized in this investigation to determine howclosely cluster members are related to one another. According to the ndings, there couldbe as many as seven separate clusters, each including a unique assortment of districtsand cities. Cluster 3, which is comprised of three dierent cities and regencies, includingBandung City, West Bandung Regency, and Sumedang Regency, has an average numberof cases that is 66, making it the cluster with the highest number of cases overall. Avalue of 0.2787590 is obtained for the silhouette coecient as a result of the establishedgrouping. This value suggests that the structure of the newly created cluster is quitefragile.
MEASUREMENT OF CLASSIFICATION PERFORMANCE WITH THE LEARNING VECTOR QUANTIZATION METHOD ON COVID-19 VACCINATION DATA AT THE PARUMPANAI HEALTH CENTER ADHIYAKSA PRANANDA; Siswanto Siswanto; Sri Astuti Thamrin; A. Muh. Amil Siddik
Jurnal Matematika UNAND Vol 13, No 2 (2024)
Publisher : Departemen Matematika dan Sains Data FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmua.13.2.131-141.2024

Abstract

In the midst of the COVID-19 pandemic, various countries are always trying their best to restore global stability. One effective way is the discovery of several vaccines to prevent transmission of the virus. Indonesia is one of the countries that is aggressively implementing the COVID-19 vaccination. The vaccination process which has been carried out from February 2021 until the end of 2021 has covered approximately 160 million people or 76.83% of the target set by the government. Vaccine recipients have criteria to be able to get vaccinated to avoid side effects or complications. So it is necessary to classify groups that can receive vaccines and also delay vaccination. This research aims to determine the performance of the learning vector quantization classification method. Learning vector quantization method classification produces 95% accuracy, 97% precision, and 96% sensitivity. From these performance measurements, it can be concluded that the learning vector quantization method is very good and can be used in the classification of COVID-19 vaccination recipients at the Parumpanai Public Health Center, East Luwu Regency.
SIMULASI PERMASALAHAN BENDA JATUH DALAM KALKULUS KUANTUM Kistosil Fahim; DZAKY MUHAMMAD; MAHMUD YUNUS; I GUSTI NGURAH RAI USADHA; SUNARSINI SUNARSINI; SADJIDON SADJIDON
Jurnal Matematika UNAND Vol 13, No 1 (2024)
Publisher : Departemen Matematika dan Sains Data FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmua.13.1.14-25.2024

Abstract

Kalkulus kuantum yang selanjutnya disebut sebagai kalkulus-$q$ merupakan cabang baru dari ilmu matematika dimana konsep derivatif dari sebua fungsi real dapat dihitung tanpa menggunakan limit. Pada paper ini membahas sebuah permasalahan benda jatuh dalam media penahan dengan sudut pandang kalkulus-$q$. Persamaan diferensial-$q$ yang mendeskripsikan kecepatan vertikal telah didapatkan. sehingga berdasarkan hal ini persamaan eksak untuk kecepatan vertikal dan jarak vertikal telah tersedia. Penyelesaian yang didapatkan diekspresikan ke dalam suku fungsi eksponensial-$q$ yang mana fungsi dasar dari kalkulus-$q$. Dimensionalitas dari formula kecepatan dan jarak juga dianalisis. Sebagai tambahan penyelesaian eksak yang ada akan menyerupai penyelesaian versi klasiknya dalam mekanika Newton ketika parameter kuantum q mendekati satu. Selain itu untuk melihat perilaku dari penyelesaian yang didapatkan terdapat simulasi dengan memperhatikan dua parameter yang berubah, yaitu jumlah suku pada fungsi eksponensial-{$q$} dan parameter kuantum $q$.
Comparison Between SARIMA Model and Artificial Neural Network On Forecasting Foreign Tourist in Batam City Fadila Rasyid; DODI DEVIANTO; IZZATI RAHMI HG
Jurnal Matematika UNAND Vol 12, No 3 (2023)
Publisher : Departemen Matematika dan Sains Data FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmua.12.3.282-290.2023

Abstract

Batam City is one of the tourist attractions in Indonesia with the number of foreign tourist arrivals increasing every year. As one of the impacts of increasing the number of foreign tourist visits, the provincial government must improve the existing facilities in the tourism area, both in quality and quantity. In order for these facilities to be adequate to serve foreign tourists visiting Batam City in the future, it is estimated that the number of tourist visits to Batam City in the future is expected. This study aims to model foreign tourist arrivals using the SARIMA method and Neural Networks and compare the accuracy of the two methods with Mean Squared Error (MSE) and Mean Absolute Percentage Error (MAPE). The best SARIMA model for data on the number of foreign tourist arrivals to Batam City is SARIMA (2, 1, 0)(1, 1, 0)12 with MSE = 2,672,774,359 and MAPE = 21,4487%. The Neural Network Model is ˆy = max(0, 0.03208266 + 0.48310924V1 +...+ 0.46732363V8) with MSE = 171.279.990 and MAPE = 7.1404%. Thus, modeling with Artificial Neural Networks in these cases provides a better model than SARIMA in modeling data on the number of tourist visits to Batam City.
KESTABILAN MODEL NICHOLSON-BAILEY Mira Oktaviani; ZULAKMAL ZULAKMAL; MUHAFZAN MUHAFZAN
Jurnal Matematika UNAND Vol 12, No 2 (2023)
Publisher : Departemen Matematika dan Sains Data FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmua.12.2.144-152.2023

Abstract

Dalammakalahinidikajikestabilan Model Nicholson-Bailey yang mempelajaritentanginteraksiantarainangdanparasit. Model Nicholson-Bailey digambarkandalambentukpersamaanbeda non linierdiskrit. Darihasilanalisisdiperolehduatitiktetap yang kestabilannyaditentukanolehtingkatreproduksiinang. Sebagaihasilutamadarimakalahini, disajikan suatusyaratperludancukupuntukkestabilanasimtotikdarititiktetap model Nicholson-Bailey.
PELABELAN L(2, 1) PADA GRAF C_m ⊵_e C_n DAN S_m ⊵_o C_n Elisabet Lamapaha; Farly Oktriany Haning; Ganesha Lapenangga Putra
Jurnal Matematika UNAND Vol 13, No 2 (2024)
Publisher : Departemen Matematika dan Sains Data FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmua.13.2.75-90.2024

Abstract

Diberikan $G$ suatu graf. Pelabelan $L(2,1)$ pada suatu graf $G$ merupakan suatu pemetaan $f: V(G)\rightarrow \mathbb{Z}^+\cup\{0\}$ sehingga untuk setiap $u,v\in V(G)$ dengan $d(u,v)=1$ atau $d(u,v)=2$  memenuhi syarat selisih label kedua titik setidaknya $3-d(u,v)$. Jika $k$ merupakan bilangan bulat terbesar yang digunakan, maka pelabelan $L(2,1)$ biasa ditulis dengan pelabelan $k$-$L(2,1)$. Selanjutnya, $\lambda_{2,1}(G)$ merupakan minimum nilai $k$ sehingga terdapat pelabelan $k$-$L(2,1)$ pada $G$. Pada penelitian ini, diberikan nilai $\lambda_{2,1}$ pada graf $C_m\unrhd_e C_n$ dan graf $S_m\unrhd_o C_n$.

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