Jurnal EurekaMatika
type: channel
description: Journal Details Journal Title Jurnal EurekaMatika Accreditation SINTA 5 – Ministry of Research, Technology and Higher Education (Indonesia) Frequency 2 Issues per Year (May and November) DOI Prefix https://doi.org/10.17509/jem.xxxxx ISSN 2776-480X (Print) / 2528-4231 (Online) Publication Fee Free Editor-in-Chief Isnie Yusnitha, Ph.D. Publisher Universitas Pendidikan Indonesia Citation Index Google Scholar | Garuda Peer Review Model Double-Blind Peer Review Publishing Model Open Access under Creative Commons Attribution 4.0 Jurnal EurekaMatika (e-ISSN: 2528-4231 , p-ISSN: 2776-480X ) was first published annually on December 2013, and then since 2017 has been published twice a year, on May and November. JEM is a peer-reviewed Mathematics journal with its scope covers Algebra, Analysis, Statistics, and Applied Mathematics. This journal is published by Indonesia University of Education (Universitas Pendidikan Indonesia) and indexed by Portal Garuda and accredited Sinta 5 by Direktur Jenderal Pendidikan Tinggi, Riset, dan Teknologi No. 177/E/KPT/2024 (October 15, 2024).
publisher: Universitas Pendidikan Indonesia (UPI)
language: en
publication name: Jurnal EurekaMatika
issn: 2776-480X
items: Hubungan Antara Aljabar-C*A yang Berkaitan dengan Kata-Kata Tak Berdekorasi W pada Graf-K
items: Penerapan Model Regresi Data Panel dalam Analisis Faktor-Faktor Penyebab Kemiskinan di Provinsi Papua
items: Pendekatan Model Spasial dan Global untuk Mendeteksi Penyebab Kasus Demam Berdarah Dengue di Indonesia
items: Analisis Faktor-Faktor yang Mempengaruhi Indeks Pembangunan Manusia Kabupaten/Kota di Indonesia Menggunakan Algoritma GUIDE
items: Pemodelan Hasil Panen Padi terhadap Ketergantungan Cuaca Ekstrem di Indonesia Menggunakan Copula Gaussian
items: Analisis Model Intervensi Multi Input Fungsi Pulse dan Fungsi Step dengan Deteksi Outlier terhadap Harga Saham
items: Hasil Cross Product dari Dua Graf-k
items: Analisis Pola dan Peramalan Aktivitas Gempa di Provinsi Bengkulu Menggunakan K-Means Clustering dan Rantai Markov
items: Permasalahan Lukisan Geometri sebagai Suatu Lapangan
items: Sifat Inklusi Dan Perumuman Ketaksamaan Hölder Pada Ruang Barisan Orlicz
items: Estimasi Harga Tanah Dengan Menggunakan Metode Universal Kriging (Studi Kasus Pada Kecamatan Taman Sari, Kota Pangkalpinang, Kepulauan Bangkabelitung)
items: Bayesian Vector Autoregressive (BVAR) dalam Meramal Mata Uang Cina, India dan Indonesia terhadap Mata Uang Amerika Serikat
items: Analisis Data Kemampuan Menghafal Alquran Dengan Menggunakan Model Regresi Untuk Data Berdistribusi Normal Terpotong Atas Bawah
items: Fine Grading pada Aljabar Matriks
items: Penggabungan Modifikasi Hill Cipher dan Elliptic Curve Cryptography untuk Meningkatkan Keamanan Pesan
items: Penyelesaian Colored Traveling Salesman Problem Menggunakan Algoritma Genetika Hill-Climbing
items: Distribusi Weibull-Normal{Log-Logistik} dan Aplikasinya (Studi Kasus Data Waktu Bertahan Hidup Pasien Penderita Jantung Koroner yang Diberikan Treatment Bypass)
items: Optimasi Delay Lampu Hijau Lalu Lintas Menggunakan Fuzzy Metode Mamdani dan Metode Sugeno
items: Pengambilan Keputusan Menggunakan Fuzzy Simple Additive Weighting (Studi Kasus Pemilihan Tempat Wisata di Bandung Raya)
items: Perencanaan Produksi dan Pengendalian Persediaan Berorientasi pada Kombinasi Metode MRP dan MILP
items: Regresi Ridge Parsial Untuk Data Yang Mengandung Masalah Multikolinearitas
items: Model Matematika Fluida Lapisan Tipis pada Bidang Miring
items: Art Gallery Problem Untuk 1-Guarded Guards Dan 2-Guarded Guards Pada Poligon Orthogonal
items: Simulasi Sistem Persamaan Gelombang Air Dangkal Menggunakan Metode Numeris Lax-Friedrichs
items: Penentuan Premi Asuransi Jiwa Berjangka, Asuransi Tabungan Berjangka, Asuransi Dwiguna Berjangka dengan Program Aplikasinya
items: Pemodelan Indeks Pembangunan Gender (IPG) dengan Menggunakan Regresi Probit Ordinal (Studi Kasus IPB Kabupaten/Kota di Pulau Sumatera Tahun 2015)
items: Analisis Regresi Linear Piecewise Dua Segmen dengan Menggunakan Metode Kuadrat Terkecil
items: Kriptografi dengan Mengkomposisikan Vigenere Cipher dan Algoritma Knapsack Merkle-Hellman
items: Implementasi Digital Signature Algorithm (DSA) Menggunakan Secure Hash Algorithm-256 (SHA-256) pada Media Gambar
items: Program Aplikasi Pengelompokan Obyek dengan Metode Self Organizing Map menggunakan Bahasa R

Hubungan Antara Aljabar-C*A yang Berkaitan dengan Kata-Kata Tak Berdekorasi W pada Graf-K
type: item
description: This article discusses the relation of the associated $C^*$-algebra $\mathcal{A}$ with a collection of undecorated words $W$. The collection of undecorated words $W$ can be seen as a $*$-representation of $W$. Furthermore, this article discusses the associated $C^*$-algebra $\mathcal{A}$ generated by $\{s_{\lambda}, s_{\sigma(\lambda)}\}$ and viewed as a $*$-representation of $\mathcal{A}$. It also provides a construction of a mapping $s_{\lambda} \mapsto s_{\lambda,\sigma(\lambda)}$ that satisfies the isomorphism property.
subject: Articles
  topic: section
subject: *-Representation
  topic: keywords
subject: C^*-Algebra
  topic: keywords
subject: Undecorated
  topic: keywords
subject: Words
  topic: keywords
subject: Aljabar
  topic: subjects
creator: Muhammad Nur Hidayat Taufiq
creator: Rizky Rosjanuardi
creator: Sumanang Muhtar Gozali
rights: Copyright (c) 2021 https://creativecommons.org/licenses/by/4.0
date: 2021-05-01
publication date: 2021-05-01

Penerapan Model Regresi Data Panel dalam Analisis Faktor-Faktor Penyebab Kemiskinan di Provinsi Papua
type: item
description: Poverty is when a person cannot adequately fulfill his daily needs. The data is taken from the official website of the Papua Province Central Statistics Agency (BPS). The panel data regression method was analyzed with the help of the EViews 12SV lite version for students and the IBM SPSS Statistics 24. This research aims to examine the most influential factors causing poverty in Papua and obtain the best regression model. Based on the Chow test, Hausman test, significance test, and classical assumption tests, the best model for panel data regression for modeling poverty in Papua is the fixed effect model (FEM). The results of the analysis show that 99.78% of the poor population has a life expectancy, human development index, gross regional domestic product, labor force participation rate, and open unemployment rate. Meanwhile, the remaining 0.22% is explained by other variables outside the model. Life expectancy and the human development index have a significant effect, while gross regional domestic product, labor force participation rate, and open unemployment rate are not significant on the poor population in Papua in 2017-2020.
subject: Articles
  topic: section
subject: Fixed Effect Model
  topic: keywords
subject: Poor Population
  topic: keywords
subject: Regression Panel Data
  topic: keywords
subject: Matematika Terapan
  topic: subjects
creator: Miftakhul Karomah Riyandini
creator: Fitria Virgantari
creator: Yasmin Erika Farida
rights: Copyright (c) 2024 https://creativecommons.org/licenses/by/4.0
date: 2024-11-01
publication date: 2024-11-01
starting page: 119
ending page: 130

Pendekatan Model Spasial dan Global untuk Mendeteksi Penyebab Kasus Demam Berdarah Dengue di Indonesia
type: item
description: Dengue fever is a viral infection that can cause death and remains a major public health concern in Indonesia. The variation in dengue cases across regions indicates differing environmental factors, requiring an approach capable of capturing their spatial patterns. This study employs the Geographically Weighted Regression (GWR) method to analyze the influence of the percentage of adequate housing and the percentage of households with access to proper sanitation on the number of dengue. The results show that the distribution of suitable settlements, proper sanitation, and dengue cases exhibits uneven spatial patterns across Indonesia. The OLS model is insufficient to describe the relationships between variables in a consistent manner, whereas the GWR model indicates the presence of strong spatial heterogeneity, particularly with high positive coefficients in densely populated areas such as Java. These findings indicate that the effects of suitable settlements and proper sanitation on dengue incidence are location-specific, suggesting that environmental health interventions should be designed to the characteristics of each region.
subject: Articles
  topic: section
subject: Dengue fever
  topic: keywords
subject: Geographically weighted regression
  topic: keywords
subject: Proper sanitation
  topic: keywords
subject: Suitable settlements
  topic: keywords
subject: Spatial Analysis
  topic: subjects
subject: Applied Mathematics
  topic: subjects
creator: Muhammad Azhar
creator: Hendryati Rahmi
creator: Dewi Sri Susanti
rights: Copyright (c) 2026 Dewi Sri Susanti (Author) https://creativecommons.org/licenses/by/4.0
date: 2026-05-15
publication date: 2026-05-15
starting page: 25
ending page: 42
doi: 10.17509/p4fb2643

Analisis Faktor-Faktor yang Mempengaruhi Indeks Pembangunan Manusia Kabupaten/Kota di Indonesia Menggunakan Algoritma GUIDE
type: item
description: Human Development Index (HDI) is an important indicator to measure the quality of human development across regions. This study aims to analyze factors influencing the Human Development Index of regencies/cities in Indonesia using the Generalized, Unbiased, Interaction Detection and Estimation (GUIDE) algorithm. The data used consists of socio-economic variables related to education, health, and economic conditions. The GUIDE algorithm is applied to identify significant predictor variables and interaction patterns that affect HDI values without bias in variable selection. The results show that several key factors, such as life expectancy, mean years of schooling, and expenditure per capita, play a dominant role in determining HDI across regions. The resulting regression tree provides an interpretable structure that illustrates the relationship between explanatory variables and HDI. This study demonstrates that the GUIDE algorithm is effective in modeling HDI data and can be used as an alternative analytical method for regional development analysis in Indonesia.
subject: Articles
  topic: section
subject: GUIDE
  topic: keywords
subject: Human Development Index
  topic: keywords
subject: Regression tree
  topic: keywords
subject: Social welfare
  topic: keywords
subject: Regression tree
  topic: subjects
subject: Statistics
  topic: subjects
creator: Syifa Maulia
creator: Yasmin Erika Faridhan
creator: Maya Widyastiti
rights: Copyright (c) 2026 Syifa Maulia, Yasmin Erika Faridhan, Maya Widyastiti (Author) https://creativecommons.org/licenses/by/4.0
date: 2026-05-31
publication date: 2026-05-31
starting page: 79
ending page: 95
doi: 10.17509/jcp2k776

Pemodelan Hasil Panen Padi terhadap Ketergantungan Cuaca Ekstrem di Indonesia Menggunakan Copula Gaussian
type: item
description: Good paddy crop yield needs enough water, no more and no less. Extreme weather often causes paddy farmer financial loss; it may decrease paddy crop yield, or even crop failure. Extreme weather occurs when there is low intensity (0-100 mm) or high intensity rainfall (300-500 mm). A model is developed using Gaussian copula to estimate paddy crop yield when extreme weather occurred. Parameter estimation for the copula model is done using Kendall-Tau approach. Secondary data from Statistics Indonesia used in this study is paddy crop yield and rainfall data from year 2014 to 2018. The generated Gaussian copula model is C0.01884(0.5,0.63)=Φ0.01884(Φ-1(0.5),Φ-1(0.63)). The model shows a weak dependency between paddy crop yield and rainfall in Indonesia. Keywords: Extreme Weather, Gaussian Copula, Paddy Crop. Abstrak Hasil panen padi yang baik memerlukan air yang cukup, tidak kekurangan dan tidak kelebihan air. Cuaca ekstrem merupakan salah satu penyebab kerugian para petani padi, karena ketika cuaca ekstrem terjadi dapat berakibat menurunnya hasil panen padi, bahkan gagal panen. Cuaca ekstrem terjadi jika curah hujan berintensitas rendah (0-100 mm) dan intensitas tinggi (300-500 mm). Pemodelan dilakukan untuk menduga hasil panen padi saat terjadi cuaca ekstrem menggunakan Copula Gaussian. Pendugaan parameter untuk model Copula dilakukan dengan pendekatan Kendall-Tau. Data penelitian yang digunakan merupakan data sekunder dari Badan Pusat Statistika yaitu data hasil panen padi (dalam satuan ton) pada tahun 2014-2018 dan data curah hujan (dalam satuan mm) pada tahun 2014-2018. Model Copula Gaussian yang dihasilkan adalah C0.01884(0.5,0.63)=Φ0.01884(Φ-1(0.5),Φ-1(0.63)). Model tersebut menunjukkan ketergantungan yang lemah antara hasil panen padi dengan curah hujan di Indonesia.
subject: Articles
  topic: section
subject: Copula Gaussian, Cuaca Ekstrem, Hasil Panen Padi
  topic: keywords
subject: Matematika Terapan
  topic: subjects
creator: Sri Yuningsih
creator: Embay Rohaeti
creator: Yasmin Erika Faridhan
rights: Copyright (c) 2026 https://creativecommons.org/licenses/by/4.0
date: 2022-05-01
publication date: 2022-05-01
starting page: 73
ending page: 80

Analisis Model Intervensi Multi Input Fungsi Pulse dan Fungsi Step dengan Deteksi Outlier terhadap Harga Saham
type: item
description: Intervention is a shock that occurs due to internal and external factors. This study aims to determine the multi-input intervention model of pulse function and step function with the best outlier detection on stock price data and find out the forecasting results. The ARIMA method is used to process data before the occurrence of intervention so that an intervention order (order b, s, r) is formed. The data used in this study is data on the share price of PT Bank Negara Indonesia (Persero) tbk in the period 20 June 2019 – 30 July 2020. We obtained multi-input intervention model of pulse function (b = 8, s = 0, r = 1) and step function (b = 11, s = 0, r = 1) with the addition of eight outliers of additive outlier type and shift level. Based on the model, the results of forecasting the share price of PT Bank Negara Indonesia (Persero) tbk are in the range of 4,500.00 IDR Keywords: Intervention, Outlier, Pulse Function, Step Function. Abstrak Intervensi merupakan suatu goncangan yang terjadi akibat faktor internal maupun faktor eksternal. Penelitian ini bertujuan untuk menentukan model intervensi multi input fungsi pulse dan fungsi step dengan deteksi outlier terbaik pada data harga saham serta untuk mengetahui hasil peramalannya. Metode ARIMA digunakan untuk mengolah data sebelum terjadinya intervensi sehingga terbentuk orde intervensi (orde b, s, r). Data yang digunakan pada penelitian ini adalah data harga saham PT Bank Negara Indonesia (Persero) Tbk pada periode 20 Juni 2019 - 30 Juli 2020. Diperoleh model intervensi multi input fungsi pulse (b = 8, s = 0, r = 1) dan fungsi step (b = 11, s = 0, r = 1) dengan penambahan delapan outlier bertipe additive outlier dan level shift. Berdasarkan model yang terbentuk, diperoleh hasil peramalan harga saham PT Bank Negara Indonesia (Persero) Tbk berada pada kisaran Rp4.500,00.
subject: Articles
  topic: section
subject: Fungsi Pulse, Fungsi Step, Intervensi, Outlier
  topic: keywords
subject: Matematika Terapan
  topic: subjects
creator: Lorensya Lorensya
creator: Lukita Ambarwati
creator: Yudi Mahatma
rights: Copyright (c) 2026 https://creativecommons.org/licenses/by/4.0
date: 2022-05-01
publication date: 2022-05-01
starting page: 61
ending page: 72

Hasil Cross Product dari Dua Graf-k
type: item
description: This article discusses results of cross product of two k-graphs. This study discusses the structure of the k-graphs, which consists of category and functor that satisfying the factorisation property. Furthermore, we discussed the crossed product results from two k-graphs, which includes product category and functor for such product category. Then an illustration is given on how to form a (k1+k2)-graph from two different k-graphs, namely k1-graph and k2-graph. Keywords: Category, Cross Product, Functor, Functor for Product, k-Graph. ABSTRAK Artikel ini membahas tentang hasil cross product dari dua graf-k. Dalam penelitian ini dibahas mengenai struktur dari graf-k, yang terdiri dari kategori dan fungtor yang memenuhi sifat faktorisasi. Selanjutnya dibahas bagaimana hasil cross product dari dua graf-k, yang mencakup produk kategori dan fungtor untuk produk kategori tersebut. Lalu diberikan ilustrasi bagaimana membentuk graf-(k1+k2) dari dua graf-k yang berbeda, yaitu graf-k1 dan graf-k2.
subject: Articles
  topic: section
subject: Cross Product, Fungtor, Fungtor untuk Kategori Produk, Graf-k, Kategori.
  topic: keywords
subject: Aljabar
  topic: subjects
creator: Riza Lestari
creator: Rizky Rosjanuardi
creator: Sumanang Muhtar Gozali
rights: Copyright (c) 2026 https://creativecommons.org/licenses/by/4.0
date: 2022-05-01
publication date: 2022-05-01
starting page: 1
ending page: 10

Analisis Pola dan Peramalan Aktivitas Gempa di Provinsi Bengkulu Menggunakan K-Means Clustering dan Rantai Markov
type: item
description: This study integrates K-Means Clustering with Silhouette Coefficient validation into a Markov Chain model to predict earthquake activity patterns in Bengkulu Province, which has not been applied in this region. Seismic data obtained from the United States Geological Survey (USGS) consist of various magnitude scales and were therefore converted to the moment magnitude scale (Mw) to obtain more consistent measurements. The data were then processed through declustering to separate mainshocks from foreshocks and aftershocks, and subsequently grouped based on magnitude, depth, and time of occurrence. The analysis results indicate that earthquake activity patterns in Bengkulu Province are dominated by moderate-magnitude events, shallow depths, and a tendency for increased activity during mid-year. These findings clarify the spatial and temporal characteristics of earthquakes and support data-driven decision-making in disaster risk mitigation planning in Bengkulu Province.
subject: Articles
  topic: section
subject: Bengkulu Province
  topic: keywords
subject: Earthquake
  topic: keywords
subject: K-Means Clustering
  topic: keywords
subject: Markov Chain
  topic: keywords
subject: Seismic Pattern
  topic: keywords
subject: Statistics
  topic: subjects
creator: Yahanna She Dasti
creator: Jose Rizal
creator: Siska Yosmar
creator: Mulia Astuti
creator: Septri Damayanti
rights: Copyright (c) 2026 Yahanna She Dasti, Jose Rizal, Siska Yosmar, Mulia Astuti, Septri Damayanti (Author) https://creativecommons.org/licenses/by/4.0
date: 2026-05-15
publication date: 2026-05-15
starting page: 43
ending page: 54
doi: 10.17509/3t5jz428

Permasalahan Lukisan Geometri sebagai Suatu Lapangan
type: item
description: This text discusses two famous classical problems in geometric construction, where the only permitted tools are a compass and an unmarked straightedge. These two problems are trisecting an angle and doubling the volume of a cube, both of which will be proven impossible to construct. The proof is conducted by translating geometric problems into algebraic problems. Subsequently, the concepts of fields and vector spaces are utilized to prove the constructibility of these geometric problems. Keywords: Doubling the volume of a cube, Trisecting an angle ABSTRAK Tulisan ini membahas dua masalah klasik yang sangat terkenal di dalam lukisan geometri dimana alat yang diperbolehkan hanya jangka dan mistar tanpa skala. Kedua masalah tersebut adalah membagi tiga buah sudut dan menggandakan volume kubus, yang akan dibuktikan bahwa keduanya mustahil dapat dilukis. Pembuktian dilakukan dengan menerjemahkan permasalahan geometri menjadi permasalahan aljabar. Kemudian, digunakan konsep lapangan dan ruang vektor untuk membuktikan keterlukisan masalah lukisan tersebut.
subject: Articles
  topic: section
subject: Membagi tiga sebuah sudut
  topic: keywords
subject: Menggandakan volume kubus
  topic: keywords
subject: Mathematics
  topic: subjects
subject: Algebra
  topic: subjects
subject: Geometry
  topic: subjects
creator: Farhani Farhani
creator: Saiful Amri
creator: Zahnur Zahnur
rights: Copyright (c) 2020 https://creativecommons.org/licenses/by/4.0
date: 2020-11-01
publication date: 2020-11-01
starting page: 203
ending page: 215

Sifat Inklusi Dan Perumuman Ketaksamaan Hölder Pada Ruang Barisan Orlicz
type: item
description: Orlicz spaces are a generalization of Lebesgue spaces, introduced by Z. W. Birnbaum and W. Orlicz in 1931. There are two versions of Orlicz spaces: the continuous Orlicz space and the Orlicz sequence space. The main topic of this research concerns several properties of the Orlicz sequence space. In this study, the author demonstrates the necessary and sufficient conditions for the inclusion property and the validity of Hölder's inequality in Orlicz sequence spaces. Furthermore, the author obtains the necessary and sufficient conditions for the generalization of Hölder's inequality in Orlicz sequence spaces. One of the methods used to prove these results is by utilizing the norm of characteristic sequences in Z. Keywords: Hölder's inequality, Inclusion property, Orlicz sequence space, Orlicz space. ABSTRAK Ruang Orlicz adalah perumuman dari ruang Lebesgue yang dikenalkan oleh Z. W. Birnbaum dan W. Orlicz pada tahun 1931. Terdapat dua versi ruang Orlicz, yaitu ruang Orlicz kontinu dan ruang barisan Orlicz. Topik utama penelitian ini adalah mengenai beberapa sifat pada ruang barisan Orlicz. Pada penelitian ini, penulis memperlihatkan syarat cukup dan perlu sifat inklusi dan keberlakuan ketaksamaan Hölder pada ruang barisan Orlicz. Lebih jauh lagi, penulis memperoleh syarat cukup dan perlu perumuman ketaksamaan Hölder pada ruang barisan Orlicz. Salah satu cara yang digunakan untuk membuktikan hal tersebut adalah dengan menggunakan norma dari barisan karakteristik pada Z.
subject: Articles
  topic: section
subject: Ketaksamaan Hölder
  topic: keywords
subject: Ruang barisan Orlicz
  topic: keywords
subject: Ruang Orlicz
  topic: keywords
subject: Sifat inklusi
  topic: keywords
subject: Mathematics
  topic: subjects
subject: Analysis
  topic: subjects
creator: Pradipta Swiantana Prayoga
creator: Al Azhary Masta
creator: Siti Fatimah
rights: Copyright (c) 2020 https://creativecommons.org/licenses/by/4.0
date: 2020-11-01
publication date: 2020-11-01
starting page: 184
ending page: 202

Estimasi Harga Tanah Dengan Menggunakan Metode Universal Kriging (Studi Kasus Pada Kecamatan Taman Sari, Kota Pangkalpinang, Kepulauan Bangkabelitung)
type: item
description: In this research, land price estimation was conducted using the Universal Kriging method. The Kriging method utilizes spatial values at sampled locations and a variogram to predict values at other unsampled and/or non-sampled locations, where these predicted values depend on their proximity to the sampled locations. The estimation calculation process was carried out with the assistance of R software using the sp and gstat packages. Based on the research results, information was obtained regarding unsampled land prices around the locations where field surveys were conducted; specifically, 186 estimated points were identified. The highest land price was found to be Rp 2,251,604.1 /m² at the location with abscissa X 632,564 meters and ordinate Y 9,764,654 meters, with an error variance of 9.82 x 10^17. Meanwhile, the lowest land price was Rp 500,615.6 /m² at the location with abscissa X 623,854 meters and ordinate Y 9,766,992 meters, with an error variance of 1.20 x 10^18. Keyword: Land price, Universal Kriging method. ABSTRAK Pada penelitian ini dilakukan pengestimasian harga tanah dengan metode Universal Kriging. Metode Kriging memanfaatkan nilai spasial pada lokasi tersampel dan variogram untuk memprediksi nilai pada lokasi lain yang belum dan/atau tidak tersampel dimana nilai prediksi tersebut tergantung pada kedekatannya terhadap lokasi tersampel. Proses penghitungan estimasi dilakukan dengan bantuan software R menggunakan package sp dan gstat. Berdasarkan hasil penelitian, diperoleh informasi harga tanah yang tidak tersampel di sekitar lokasi yang sudah dilakukan survey lapangan yaitu sebanyak 186 titik hasil estimasi dengan harga tanah tertinggi yaitu sebesar Rp 2.251.604,1 /m² pada lokasi absis X 632564 meter dan ordinat Y 9764654 meter dengan variansi error sebesar 9,82E+17 dan nilai harga tanah terendah sebesar Rp 500.615,6 /m² pada lokasi absis X 623854 meter dan ordinat Y 9766992 meter dengan variansi error sebesar 1,20E+18.
subject: Articles
  topic: section
subject: Harga tanah
  topic: keywords
subject: Metode Universal Kriging
  topic: keywords
subject: Mathematics
  topic: subjects
subject: Statistics
  topic: subjects
creator: Desya Salwa Ramadhianti
creator: Dewi Rachmatin
creator: Husty Serviana Husain
rights: Copyright (c) 2020 https://creativecommons.org/licenses/by/4.0
date: 2020-11-01
publication date: 2020-11-01
starting page: 174
ending page: 183

Bayesian Vector Autoregressive (BVAR) dalam Meramal Mata Uang Cina, India dan Indonesia terhadap Mata Uang Amerika Serikat
type: item
description: Currency exchange rates can be used to measure the economic level of a country. Forecasting exchange rates is necessary so that investors can determine the future economic status of an investment destination country. In this research, the Bayesian Vector Autoregressive (BVAR) method is used to model, forecast, and compare the forecast results of the Rupee, Rupiah, and Yuan exchange rates against the US Dollar using two different priors: the Litterman-Minnesota Prior and the Normal-Flat Prior. The objective of this study is to obtain a model and compare the forecasting results of the BVAR method from each prior. Based on previous research, Bayesian Vector Autoregressive (BVAR) has been proven capable of providing superior forecasting results. The forecasting results from each prior indicate that both the Litterman-Minnesota prior and the Normal-Flat prior produce accurate forecasts based on low Mean Absolute Percentage Error (MAPE) values. Furthermore, after comparison, in the case of forecasting the Rupee, Rupiah, and Yuan exchange rates against the US Dollar, the Litterman-Minnesota prior yielded a smaller MAPE value, meaning its results are more accurate. Keywords: Bayesian Vector Autoregressive (BVAR), Exchange rate, Litterman-Minnesota Prior, Mean Absolute Percentage Error (MAPE), Normal-Flat Prior. ABSTRAK Nilai tukar mata uang dapat digunakan untuk mengukur tingkat perekonomian suatu negara. Peramalan nilai tukar diperlukan agar investor dapat mengetahui tingkat perekonomian negara tujuan investasi di masa datang. Pada penelitian ini digunakan metode Bayesian Vector Autoregressive (BVAR) dalam memodelkan, melakukan peramalan,dan membandingkan hasil ramalan antara nilai tukar Rupee, Rupiah, dan Yuan terhadap Dolar Amerika Serikat dengan dua prior yang berbeda yaitu Litterman-Minnesota Prior dan Normal-Flat Prior. Tujuan dari penelitian ini adalah mendapatkan model, serta membandingkan hasil peramalan dengan metode BVAR dari masing-masing prior. Bayesian Vector …
subject: Articles
  topic: section
subject: BVAR
  topic: keywords
subject: Litterman-Minnesota
  topic: keywords
subject: MAPE
  topic: keywords
subject: Nilai tukar
  topic: keywords
subject: Normal-Flat
  topic: keywords
subject: Mathematics
  topic: subjects
subject: Forecasting
  topic: subjects
subject: Applied Mathematics
  topic: subjects
creator: Rinda Arista
creator: Dadang Juandi
creator: Fitriani Agustina
rights: Copyright (c) 2020 https://creativecommons.org/licenses/by/4.0
date: 2020-11-01
publication date: 2020-11-01
starting page: 165
ending page: 173

Analisis Data Kemampuan Menghafal Alquran Dengan Menggunakan Model Regresi Untuk Data Berdistribusi Normal Terpotong Atas Bawah
type: item
description: The objective of this research is to analyze data on Quranic memorization ability, obtained from tahfizh examination results using a test instrument, and analyzed using a truncated regression model. Given the restrictions on the dependent variable's values and that the independent variables are only observed when the dependent variable is observed, the analysis utilizes a doubly truncated normal distribution. In the regression model for this data, the values of the dependent variable are q<Yi​<r, where the observed data lies between point q as the lower bound (a value of 44) and point r as the upper bound (a value of 96). The method used to estimate parameters in the model is the Maximum Likelihood Estimation (MLE) method using the Newton-Raphson iterative process. Data analysis was conducted by determining the linear regression model and the doubly truncated regression model, followed by normality assumption tests and partial coefficient tests for the doubly truncated normal distribution model. The results obtained from this study are a regression model that describes the relationship between tahfizh exam scores, tahsin scores, and final grades. Keywords: Doubly truncated normal distribution regression model, Quranic memorization ability ABSTRAK Tujuan dari penelitian ini adalah untuk menganalisis data kemampuan menghafal Alquran yang datanya diperoleh dari hasil ujian tahfizh menggunakan sebuah instrumen tes, dan digunakan model regresi terpotong. Dilihat dari pembatasan nilai pada variabel dependennya dan variabel independennya hanya akan diobservasi jika variabel dependennya diobservasi, analisis yang digunakan adalah distribusi normal terpotong atas bawah. Model regresi untuk data ini, nilai-nilai variabel dependennya berupa q < Yi < r dimana data yang diobservasi berada diantara titik q yang merupakan batas bawah yaitu nilai 44 dan titik r merupakan batas atas yaitu nilai 96 dari data dependen yang diobservasi. Metode yang digunakan untuk menaksir parameter da…
subject: Articles
  topic: section
subject: Kemampuan menghafal Alquran
  topic: keywords
subject: Model regresi data berdistribusi normal terpotong atas bawah
  topic: keywords
subject: Mathematics
  topic: subjects
subject: Applied Mathematics
  topic: subjects
creator: Rachmi Dwiyati
creator: Nar Herrhyanto
creator: Bambang Avip Priatna
rights: Copyright (c) 2020 https://creativecommons.org/licenses/by/4.0
date: 2020-11-01
publication date: 2020-11-01
starting page: 150
ending page: 164

Fine Grading pada Aljabar Matriks
type: item
description: A matrix algebra over a field cannot necessarily be decomposed into a direct sum of its submodules to become fine graded over a group G. This decomposition into a fine graded algebra is determined by the group used. In the case of the matrix algebra, if a cyclic group is used as an index to decompose the matrix algebra into a fine graded algebra, it results in submodules that are not linearly independent, and thus not a direct sum. Conversely, when using a non-cyclic group, the submodules can form a direct sum and satisfy the conditions such that a fine grading for the matrix algebra can be performed. The support of a matrix algebra will form a subgroup, and every non-zero element in possesses an inverse. Keywords: Direct sum, Fine graded, Graded algebra, Matrix algebra. ABSTRAK Suatu aljabar matriks atas lapangan belum tentu dapat di dekomposisi menjadi hasil jumlah langsung dari submodulnya sehingga menjadi fine graded atas suatu grup G. Dekomposisi menjadi fine graded ini ditentukan oleh grup yang digunakan. Pada kasus aljabar matriks bila digunakan grup siklik sebagai indeks dalam mendekomposisi suatu aljabar matriks menjadi aljabar yang fine graded mengakibatkan submodulnya menjadi tidak bebas linear, sehingga bukan suatu jumlah langsung. Sedangkan ketika menggunakan grup non-siklik, submodulnya bisa merupakan jumlah langsung dan memenuhi sehingga fine grading untuk aljabar matriks dapat dilakukan. Support dari suatu alajabar matriks akan membentuk subgrup dan setiap elemen tak nol di mempunyai invers.
subject: Articles
  topic: section
subject: Aljabar graded
  topic: keywords
subject: Aljabar matriks
  topic: keywords
subject: Fine graded
  topic: keywords
subject: Jumlah langsung
  topic: keywords
subject: Mathematics
  topic: subjects
subject: Algebra
  topic: subjects
creator: Irham Walidaka
creator: Rizky Rosjanuardi
creator: Sumanang Muhtar Gozali
rights: Copyright (c) 2020 https://creativecommons.org/licenses/by/4.0
date: 2020-11-01
publication date: 2020-11-01
starting page: 137
ending page: 149

Penggabungan Modifikasi Hill Cipher dan Elliptic Curve Cryptography untuk Meningkatkan Keamanan Pesan
type: item
description: As technology advances, secret messages are becoming increasingly vulnerable to hacking. Therefore, the security of these messages must be enhanced. Cryptography studies techniques or algorithms to secure messages, including the Hill cipher and Elliptic Curve Cryptography (ECC). The Hill cipher is a cryptosystem that uses a matrix as its key, with common matrix keys being of a specific size. Elliptic Curve Cryptography utilizes points on an elliptic curve, which is a field over prime numbers, with point addition operations. This research presents the development of a hybrid cryptosystem by combining the Hill cipher and Elliptic Curve Cryptography. In this combination, a modification is performed so that the Hill cipher can utilize a matrix key of size $n \times n$. This integrated cryptography system uses 95 characters from the ASCII set. Furthermore, the research results are implemented into a computer program. The combination of these two cryptosystems aims to improve the security of confidential messages, making them significantly harder to breach. Keywords: Elliptic Curve Cryptography (ECC), Hill Cipher, Modified Hill Cipher. ABSTRAK Seiring perkembangan teknologi, pesan rahasia semakin rentan untuk diretas. Oleh karena itu, pengamanan terhadap pesan rahasia perlu ditingkatkan. Kriptografi mempelajari teknik atau algoritma untuk mengamankan pesan, diantaranya adalah hill cipher dan elliptic curve cryptography (ECC). Hill cipher merupakan suatu kriptosistem yang menggunakan matriks sebagai kuncinya, dengan kunci matriks yang umum digunakan merupakan suatu matriks berukuran. Elliptic curve cryptography menggunakan titik-titik pada kurva eliptik yang merupakan suatu lapangan atas bilangan prima dengan operasi penjumlahan titik. Dalam penelitian ini disajikan pengembangan kriptosistem hill cipher dan elliptic curve cryptography dengan cara menggabungkan kedua kriptosistem tersebut. Dalam penggabungan tersebut, dilakukan suatu modifikasi sehingga hill cipher yang dig…
subject: Articles
  topic: section
subject: Elliptic curve crypthography
  topic: keywords
subject: Hill cipher
  topic: keywords
subject: Modifikasi Hill chiper
  topic: keywords
subject: Mathematics
  topic: subjects
subject: Applied Mathematics
  topic: subjects
subject: Crypthography
  topic: subjects
creator: Hana Nur Azizah
creator: Rini Marwati
creator: Isnie Yusnitha
rights: Copyright (c) 2020 https://creativecommons.org/licenses/by/4.0
date: 2020-11-01
publication date: 2020-11-01
starting page: 124
ending page: 136

Penyelesaian Colored Traveling Salesman Problem Menggunakan Algoritma Genetika Hill-Climbing
type: item
description: The Colored Traveling Salesman Problem (CTSP) is an extension of the Multiple Traveling Salesman Problem (mTSP) involving two types of working areas: a common area that can be visited by any worker, and private areas that are accessible only to the workers assigned to those specific regions. In CTSP, the routes for several workers are divided by considering both these common and private areas. In this study, the CTSP is solved using a Genetic Hill-Climbing Algorithm, which is a hybrid of the Genetic Algorithm and the Hill-Climbing Algorithm aimed at producing superior solutions. Furthermore, the CTSP model using the Genetic Hill-Climbing Algorithm is implemented in a case study of package collection for an express delivery company in Bandung. The results of this study provide the shortest routes for the company's package collection. Additionally, by comparing the Genetic Hill-Climbing Algorithm with the Classical Genetic Algorithm, it was found that the Genetic Hill-Climbing Algorithm provides solutions with shorter distances, although it requires longer computational time. Keywords: Genetic Algorithm, Hill-Climbing, Multiple Traveling Salesman Problem (mTSP) ABSTRAK Colored Traveling Salesman Problem (CTSP) adalah pengembangan dari MTSP dimana terdapat dua wilayah kerja yaitu wilayah umum yang dapat dikunjungi oleh setiap pekerja, dan wilayah pribadi yang berlaku hanya untuk pekerja yang ditugaskan di wilayah tersebut. Pada CTSP rute dari beberapa pekerja akan dibagi dengan mempertimbangkan wilayah umum dan wilayah pribadinya. Pada kajian ini, CTSP diselesaikan dengan Algoritma Genetika Hill-Climbing, yang merupakan penggabungan dari Algoritma Genetika dengan Algoritma Hill-Climbing dengan tujuan menghasilkan solusi yang lebih baik. Selanjutnya, model CTSP menggunakan Algoritma Genetika Hill-Climbing diimplementasikan pada kasus pengumpulan paket suatu perusahaan ekspedisi di Kota Bandung. Hasil dari kajian ini yaitu diperoleh rute terpendek untuk kasus pengumpulan…
subject: Articles
  topic: section
subject: Algoritma Genetika
  topic: keywords
subject: Hill-Climbing
  topic: keywords
subject: Multi Traveling Salesman Problem
  topic: keywords
subject: Mathematics
  topic: subjects
subject: Applied Mathematics
  topic: subjects
creator: Fakhrana Nadhilah
creator: Khusnul Novianingsih
creator: Kartika Yulianti
rights: Copyright (c) 2020 https://creativecommons.org/licenses/by/4.0
date: 2020-11-01
publication date: 2020-11-01
starting page: 113
ending page: 123

Distribusi Weibull-Normal{Log-Logistik} dan Aplikasinya (Studi Kasus Data Waktu Bertahan Hidup Pasien Penderita Jantung Koroner yang Diberikan Treatment Bypass)
type: item
description: This study aims to combine the Weibull, normal, and log-logistic distributions using the transformer transformation method to define the Weibull-normal{log-logistic} (WNLL) distribution. The WNLL distribution is applied to analyze the survival time data of coronary heart disease patients who underwent bypass treatment. This research falls under applied statistics related to life testing data analysis. The results indicate that the WNLL distribution has the smallest Akaike Information Criterion (AIC) value compared to the other three distributions; therefore, the WNLL distribution was selected to model the survival time data of these patients for further analysis. Keywords: Coronary heart disease patients with bypass treatment, WNLL distribution and its application ABSTRAK Penelitian ini bertujuan menggabungkan distribusi Weibull, normal, dan log-logistik dengan metode transformasi transformator untuk mendefinisikan distribusi Weibull-normal{log-logistik} (WNLL). Distribusi WNLL akan diaplikasikan untuk menganalisis data waktu bertahan hidup pasien penderita jantung koroner yang diberikan treatment bypass. Penelitian ini termasuk statistika terapan yang berkaitan dengan analisis data uji hidup. Hasil penelitian menunjukkan distribusi WNLL memiliki nilai Akaike Information Criterion (AIC) yang paling kecil dibandingkan ketiga distribusi lainnya, maka distribusi WNLL dipilih menjadi distribusi untuk data waktu bertahan hidup pasien penderita jantung koroner yang diberikan treatment bypass yang akan digunakan untuk analisis lebih lanjut.
subject: Articles
  topic: section
subject: Distribusi WNLL dan aplikasi
  topic: keywords
subject: Penderita jantung koroner yang diberikan treatment bypass
  topic: keywords
subject: Mathematics
  topic: subjects
subject: Statistics
  topic: subjects
creator: Winda Sari Sukarna
creator: Nar Herrhyanto
creator: Fitriani Agustina
rights: Copyright (c) 2020 https://creativecommons.org/licenses/by/4.0
date: 2020-05-01
publication date: 2020-05-01
starting page: 100
ending page: 112

Optimasi Delay Lampu Hijau Lalu Lintas Menggunakan Fuzzy Metode Mamdani dan Metode Sugeno
type: item
description: This research discusses the optimization of green light delay scheduling at the intersection of P.H.H. Mustofa Street and Jend. Ahmad Yani Street in Bandung using Mamdani and Sugeno fuzzy logic methods. The optimization of green light delay scheduling is conducted to reduce vehicle buildup when the red light is active. Optimal green light delay scheduling is defined as the shortest sequence of green light delay cycles under specific constraints. In this study, Mamdani and Sugeno fuzzy logic methods are used to obtain the optimal green light delay. Fuzzy logic is a "fuzzy" or vague reasoning principle that provides reasonably fair logic. Meanwhile, the Mamdani and Sugeno methods are approaches that operate based on fuzzy rules established by the researcher. The implementation results show that the Sugeno method is more optimal than the Mamdani method, with an average green light delay cycle of 234 seconds for the Sugeno method and 239 seconds for the Mamdani method. Keywords: Fuzzy logic, Green light delay, Mamdani method, Sugeno method ABSTRAK Penelitian ini membahas tentang optimisasi penjadwalan delay lampu hijau pada persimpangan Jalan P.H.H. Mustofa dan Jalan Jend. Ahmad Yani Bandung dengan menggunakan logika fuzzy metode Mamdani dan Sugeno. Optimisasi penjadwalan delay lampu hijau dilakukan agar penumpukan kendaraan berkurang saat lampu merah menyala. Penjadwalan delay lampu hijau yang optimal adalah runtunan siklus delay lampu hijau terpendek dengan kendala tertentu. Dalam penelitian ini, logika fuzzy metode Mamdani dan Sugeno digunakan untuk memperoleh delay lampu hijau yang optimal. Logika fuzzy adalah kaidah berpikir samar yang memiliki penalaran cukup adil. Sedangkan metode Mamdani dan Sugeno adalah metode yang bekerja berdasarkan aturan-aturan fuzzy yang ditetapkan peneliti. Hasil implementasi menunjukkan bahwa metode Sugeno lebih optimal dibandingkan metode Mamdani dengan rata-rata satu siklus delay lampu hijau selama 234 detik pada metode Sugeno dan 239…
subject: Articles
  topic: section
subject: Delay lampu hijau
  topic: keywords
subject: Logika fuzzy
  topic: keywords
subject: Metode Mamdani
  topic: keywords
subject: Metode Sugeno
  topic: keywords
subject: Mathematics
  topic: subjects
subject: Applied Mathematics
  topic: subjects
creator: Reka Septiani
creator: Khunul Novianingsih
creator: Entit Puspita
rights: Copyright (c) 2020 https://creativecommons.org/licenses/by/4.0
date: 2020-05-01
publication date: 2020-05-01
starting page: 83
ending page: 99

Pengambilan Keputusan Menggunakan Fuzzy Simple Additive Weighting (Studi Kasus Pemilihan Tempat Wisata di Bandung Raya)
type: item
description: This research assists tourists (decision makers) in the decision-making process to determine suitable tourist attractions to visit based on existing criteria: price, facilities, destination image, attractions, and accessibility. The method used is Fuzzy Simple Additive Weighting (FSAW), which processes data in fuzzy form and compares alternatives against one another. Using the FSAW method, the single best alternative among several tourist destinations can be obtained. To facilitate decision-making for tourist attractions using the FSAW method, an application was developed using the Java programming language. Keywords: Decision making, Fuzzy Simple Additive Weighting (FSAW), Tourist attractions ABSTRAK Pada penelitian ini membantu wisatawan (decision maker) dalam pengambilan keputusan untuk menentukan tempat wisata yang cocok untuk dikunjungi sesuai kriteria yang ada yaitu harga, fasilitas, imej destinasi, atraksi, dan aksesibilitas. Metode yang digunakan adalah Fuzzy Simple Additive Weighting (FSAW), metode ini mengolah data dalam bentuk fuzzy serta membandingkan alternatif satu dengan lainnya. Dengan metode FSAW dapat diperoleh satu alternatif terbaik diantara beberapa alternatif tempat wisata. Untuk memudahkan pengambilan keputusan tempat wisata menggunakan metode FSAW, dibuat aplikasi dengan bantuan bahasa pemrograman Java.
subject: Articles
  topic: section
subject: Fuzzy Simple Additive Weighting
  topic: keywords
subject: Pengambilan keputusan
  topic: keywords
subject: Tempat wisata
  topic: keywords
subject: Mathematics
  topic: subjects
subject: Statistics
  topic: subjects
creator: Asyifa Nurbaiti Saepudin
creator: Fitriani Agustina
creator: Rini Marwati
rights: Copyright (c) 2020 https://creativecommons.org/licenses/by/4.0
date: 2020-05-01
publication date: 2020-05-01
starting page: 70
ending page: 82

Perencanaan Produksi dan Pengendalian Persediaan Berorientasi pada Kombinasi Metode MRP dan MILP
type: item
description: The method used for production planning and inventory control in this research is a combination of Material Requirement Planning (MRP) and Mixed Integer Linear Programming (MILP) for produced materials. Meanwhile, for raw materials, the MRP method is used with the Wagner-Whitin Algorithm lot-sizing technique. Additionally, this study performs demand data forecasting using the exponential smoothing method. The objective of this research is to achieve a production and inventory system and schedule that are precise in terms of timing, quantity, and cost. To optimize time efficiency, a forecasting, production planning, and inventory control application program was constructed using the R programming language. The final result of this application construction is a web-based platform. Keywords: Combination of MRP and MILP methods, Inventory control, Production planning. ABSTRAK Metode yang digunakan untuk perencanaan produksi dan pengendalian persediaan pada penelitian ini adalah menggunakan kombinasi metode Material Requirement Planning dan Mixed Integer Linear Programing untuk bahan yang diproduksi. Sedangkan, untuk bahan baku menggunakan metode MRP dengan lotsizing Algoritma Wagner Within. Selain itu pada penelitian ini dilakukan juga proses peramalan data permintaan dengan metode exponential smoothing. Tujuan dari penelitian ini adalah supaya dicapai sistem serta jadwal produksi dan persediaan tepat waktu, jumlah, dan harga. Untuk mengefektifkan waktu, dilakukan konstruksi program aplikasi peramalan serta perencanan produksi dan pengendalian persediaan dengan menggunakan bahasa pemrograman R. Hasil konstruksi program aplikasi peramalan serta perencanaan produksi dan pengendalian persediaan berupa web.
subject: Articles
  topic: section
subject: Kombinasi metode MRP dan MILP
  topic: keywords
subject: Pengendalian persediaan
  topic: keywords
subject: Perencanaan Produksi
  topic: keywords
subject: Mathematics
  topic: subjects
subject: Statistics
  topic: subjects
creator: Arwan Zhagi
creator: Fitriani Agustina
creator: Bambang Avip Priatna
rights: Copyright (c) 2020 https://creativecommons.org/licenses/by/4.0
date: 2020-05-01
publication date: 2020-05-01
starting page: 56
ending page: 69

Regresi Ridge Parsial Untuk Data Yang Mengandung Masalah Multikolinearitas
type: item
description: Multicollinearity is a condition where linear relationships exist among some or all of the independent variables in a multiple linear regression model. Multicollinearity can cause the estimated regression coefficient parameters of these variables to be unreliable or unable to be estimated precisely. Ridge regression can address multicollinearity issues; however, it has a limitation in that the bias constant $c$ is applied to all independent variables, regardless of the level of multicollinearity present. This article discusses the development of a ridge regression method that adds the bias constant $c$ specifically for variables containing high collinearity. This development of ridge regression is called partial ridge regression. The partial ridge regression method was applied to a case study of infant mortality rates in East Java Province in 2018. The research results indicate the presence of multicollinearity in the infant mortality case study data. Furthermore, the findings reveal that the infant mortality rate in East Java Province in 2018 was significantly influenced only by the low birth weight variable, where every single unit increase in infants with low birth weight increases the infant mortality rate by 0.0953. Keywords: Infant mortality rate, Multicollinearity, Partial ridge regression, Ridge regression. ABSTRAK Multikolinearitas merupakan kondisi dimana terdapat hubungan linear antar beberapa atau semua variabel bebas dari model regresi linear berganda. Multikolinearitas dapat mengakibatkan taksiran parameter koefisien regresi dari variabel-variabel tersebut tidak dapat ditaksir dengan pasti. Regresi ridge dapat mengatasi permasalahan multikolinearitas, namun terdapat keterbatasan dalam regresi ridge yaitu konstanta bias c diterapkan untuk semua variabel bebas terlepas dari tinggi rendahnya tingkat multikolinearitas. Artikel ini membahas mengenai pengembangan metode regresi ridge yang menambahkan konstanta bias c untuk variabel yang mengandung kolinearit…
subject: Articles
  topic: section
subject: Angka kematian bayi
  topic: keywords
subject: Multikolinearitas
  topic: keywords
subject: Regresi ridge
  topic: keywords
subject: Regresi ridge parsial
  topic: keywords
subject: Mathematics
  topic: subjects
subject: Statistics
  topic: subjects
creator: Ghaida Azzahra
creator: Nar Herrhyanto
creator: Fitriani Agustina
rights: Copyright (c) 2020 https://creativecommons.org/licenses/by/4.0
date: 2020-05-01
publication date: 2020-05-01
starting page: 39
ending page: 55

Model Matematika Fluida Lapisan Tipis pada Bidang Miring
type: item
description: Thin film fluid is a fluid characterized by a very small ratio of height to length, allowing the vertical velocity component to be neglected. This article presents a mathematical model of Newtonian and non-Newtonian thin film fluids on an inclined plane. The mathematical model consists of a system of partial differential equations built from two governing equations: the Navier-Stokes equations and the continuity equation. By utilizing the scaling method, small-order parameters can be neglected to obtain an equation that describes the changes in thin film fluid height. Numerical solutions are obtained using the finite difference method. In this research, simulations were conducted with various inclination values and fluid types. The simulation results indicate that differences in inclination and fluid types lead to distinct variations in fluid flow movement. Keywords: Finite difference method, Inclined plane, Newtonian, Non-Newtonian, Thin film fluid ABSTRAK Fluida lapisan tipis adalah fluida dengan kondisi perbandingan tinggi fluida dan panjang fluida yang sangat kecil, sehingga komponen kecepatan arah vertikal dapat diabaikan. Pada artikel ini dipaparkan sebuah model matematika fluida lapisan tipis jenis Newtonian dan non-Newtonian pada bidang miring. Model matematika ini berupa sistem persamaan diferensial parsial yang terdiri dari dua persamaan pembangun, yaitu persamaan Navier-Stokes dan persamaan kontinuitas. Dengan metode penskalaan, parameter-parameter yang berorde kecil dapat diabaikan, sehingga diperoleh persamaan yang menggambarkan perubahan ketinggian fluida lapisan tipis. Solusi numerik diperoleh dengan metode beda hingga. Pada penelitian ini, simulasi dilakukan dengan beberapa nilai kemiringan dan jenis fluida. Hasil simulasi menunjukkan bahwa perbedaan kemiringan dan jenis fluida menyebabkan perbedaan pada pergerakan aliran fluida.
subject: Articles
  topic: section
subject: Bidang miring
  topic: keywords
subject: Fluida lapisan tipis
  topic: keywords
subject: Metode beda hingga
  topic: keywords
subject: Newtonian
  topic: keywords
subject: Non-Newtonian
  topic: keywords
subject: Mathematics
  topic: subjects
subject: Applied Mathematics
  topic: subjects
creator: Hamdan Anshory Martanegara
creator: Kartika Yulianti
creator: Isnie Yusnitha
rights: Copyright (c) 2020 https://creativecommons.org/licenses/by/4.0
date: 2020-05-01
publication date: 2020-05-01
starting page: 26
ending page: 38

Art Gallery Problem Untuk 1-Guarded Guards Dan 2-Guarded Guards Pada Poligon Orthogonal
type: item
description: The Art Gallery Problem for k-guarded guards is the problem of determining the minimum number of guards who can each see k other guards (k-guarded guards) and can monitor all parts of a polygon with n vertices. The placement of k-guarded guards is necessary to enhance the security of a room against theft, not only from external visitors but also from the guards themselves. This research discusses the art gallery problem for k-guarded guards on orthogonal polygons for k=1 and k=2. For k=1, known as the Art Gallery Problem for 1-guarded guards, the problem has been solved through the concept of graph coloring. In this study, a new theorem is constructed using the same concept as a solution for k=2. Furthermore, the placement of 1-guarded guards is implemented in a department store in the city of Bandung. Keywords: Art gallery problem for 2-guarded guards, Art gallery problem for guarded guards, Graph coloring, Orthogonal polygon ABSTRAK Art Gallery Problem for k-guarded guards adalah masalah penentuan jumlah minimal penjaga yang dapat melihat k penjaga lainnya (k-guarded guards) dan dapat mengawasi seluruh bagian poligon dengan simpul. Penempatan k-guarded guards diperlukan untuk meningkatkan pengawasan suatu ruangan dari pencurian yang bukan hanya berasal dari pengunjung luar, tetapi juga dari penjaga. Penelitian ini membahas art gallery problem for k-guarded guards pada poligon orthogonal untuk dan . Untuk yang dikenal dengan art gallery problem for 1-guarded guards, masalah telah diselesaikan melalui konsep pewarnaan graf. Pada penelitian ini dikontruksi teorema baru melalui konsep yang sama sebagai penyelesaian untuk . Selanjutnya, penempatan 1-guarded guards diimplementasikan pada suatu toserba di kota Bandung.
subject: Articles
  topic: section
subject: Art gallery problem for guarded guards
  topic: keywords
subject: Art gallery problem for 2-guarded guards
  topic: keywords
subject: Pewarnaan graf
  topic: keywords
subject: Poligon orthogonal
  topic: keywords
subject: Mathematics
  topic: subjects
subject: Applied Mathematics
  topic: subjects
creator: Elisabet Ivanna Grace Handayani
creator: Kartika Yulianti
creator: Khusnul Novianingsih
rights: Copyright (c) 2020 https://creativecommons.org/licenses/by/4.0
date: 2020-05-01
publication date: 2020-05-01
starting page: 15
ending page: 25

Simulasi Sistem Persamaan Gelombang Air Dangkal Menggunakan Metode Numeris Lax-Friedrichs
type: item
description: The shallow water wave equation system is a system of hyperbolic partial differential equations that describes wave conditions where the wavelength is much longer than the amplitude—for instance, in tsunami waves, floodwaters, and disturbed still water. The Lax-Friedrichs finite volume method is a numerical method used to solve hyperbolic partial differential equations. This research aims to apply the Lax-Friedrichs finite volume method to the shallow water wave equation system to observe how topography influences wave height and velocity. The cases simulated in this study include the movement of tsunami waves and disturbed still water. The simulation results indicate that differences in topography lead to distinct changes in the patterns of wave height and velocity. Keywords: Disturbed still water waves, Lax-Friedrichs method, Shallow water waves, Topography, Tsunami waves ABSTRAK Sistem persamaan gelombang air dangkal merupakan suatu sistem persamaan diferensial parsial hiperbolik yang menggambarkan keadaan gelombang dimana panjang gelombang jauh lebih panjang dibanding amplitudo, contohnya pada gelombang tsunami, gelombang air banjir, dan gelombang air tenang yang terkena gangguan. Metode volume hingga Lax-Friedrichs merupakan salah satu metode numerik untuk menyelesaikan persamaan diferensial parsial hiperbolik. Penelitian ini bertujuan menerapkan metode volume hingga Lax-Friedrichs pada sistem persamaan gelombang air dangkal, untuk melihat bagaimana pengaruh topografi pada ketinggian dan kecepatan gelombang. Kasus yang disimulasikan pada penelitian ini yaitu pergerakan gelombang tsunami dan gelombang air tenang yang terkena gangguan. Hasil simulasi menunjukkan bahwa perbedaan topografi menyebabkan perbedaan perubahan pola ketinggian dan kecepatan gelombang.
subject: Articles
  topic: section
subject: Gelombang air dangkal
  topic: keywords
subject: Gelombang air tenang
  topic: keywords
subject: Gelombang Tsunami
  topic: keywords
subject: Metode Lax-Friedrichs
  topic: keywords
subject: Topografi
  topic: keywords
subject: Applied Mathematics
  topic: subjects
subject: Mathematics
  topic: subjects
creator: Suci Permata Hati
creator: Kartika Yulianti
creator: Rini Marwati
rights: Copyright (c) 2020 https://creativecommons.org/licenses/by/4.0
date: 2020-05-01
publication date: 2020-05-01
starting page: 1
ending page: 14

Penentuan Premi Asuransi Jiwa Berjangka, Asuransi Tabungan Berjangka, Asuransi Dwiguna Berjangka dengan Program Aplikasinya
type: item
description: Gemini said Life insurance is an insurance policy that provides a specific sum of money upon the death of the insured to family members or beneficiaries as specified in the insurance policy terms. The insured party is required to pay a certain amount in each period until the contract term expires, as agreed upon by both parties. Annuity is a series of periodic payments in a specific amount and over a specific duration. Meanwhile, a premium is a payment made in each period in a specific amount and over a specific duration. This article discusses how to determine the premiums for term life insurance, pure endowment insurance, and endowment insurance, as well as the design of their application programs. Based on the research conducted, it can be concluded that annuities and benefits can be used to calculate insurance premiums. This application program was developed using the Python programming language. Keywords: Annuity, Benefit, Insurance, Policy, Premium. ABSTRAK Asuransi jiwa adalah asuransi yang memberikan pembayaran sejumlah uang tertentu atas kematian tertanggung kepada anggota keluarga atau orang yang berhak menerimanya sesuai dengan ketentuan dalam polis asuransi. Pihak tertanggung wajib membayarkan sejumlah uang setiap periode sampai jangka waktu kontrak selesai sesuai kesepakatan kedua belah pihak. Anuitas adalah sederet pembayaran berkala dalam jumlah tertentu dan selama waktu tertentu. Sedangkan premi adalah suatu pembayaran yang dilakukan setiap periode dalam jumlah tertentu yang dilakukan setiap periode tertentu dan selama waktu tertentu. Pada Artikel ini akan membahas mengenai bagaimana menentukan premi asuransi jiwa berjangka, asuransi tabungan berjangka, dan asuransi dwiguna berjangka serta perancangan program aplikasinya. Berdasarkan penelitian yang telah dilakukan dapat disimpulkan bahwa anuitas dan benefit dapat digunakan untuk melakukan perhitungan premi asuransi. Program aplikasi ini dibuat menggunakan bahasa pemrograman Python.
subject: Articles
  topic: section
subject: Anuitas
  topic: keywords
subject: Asuransi
  topic: keywords
subject: Benefit
  topic: keywords
subject: Premi
  topic: keywords
subject: Polis
  topic: keywords
subject: Financial Mathematics
  topic: subjects
creator: Desti Pertiwi Setiawati
creator: Fitriani Agustina
creator: Rini Marwati
rights: Copyright (c) 2019 https://creativecommons.org/licenses/by/4.0
date: 2019-11-01
publication date: 2019-11-01
starting page: 100
ending page: 114

Pemodelan Indeks Pembangunan Gender (IPG) dengan Menggunakan Regresi Probit Ordinal (Studi Kasus IPB Kabupaten/Kota di Pulau Sumatera Tahun 2015)
type: item
description: Gender Development Index (GDI) portrays human development discrepancy between men and women. In 2015, Sumatera island is an island in Indonesia that have province and regency/city with the highest rate of GDI. The province is Sumatera Barat and Bukit Tinggi City in which the GDI is respectively 94.74 and 97.75. The high rate of GDI shows that gender equality is appropriately decent in that area. In this research, GDI is a response variable and ordinally categorized as four categories. The first category is low, the second category is medium, the third category is high, and the last category is very high. This research also uses indicators of GDI as predictor variables that estimated effect to GDI, those are Life Expectancy at birth (X1), Expected of Years Schooling (X2), Mean Years of Schooling (X3), and Per capita expenditure adjusted (X4). Predictor variable employed is indicators of GDI for male and female populations. In this stance, ordinal probit regression is employed to model the response variable data categorized ordinally. Based on the results of ordinal probit regression with its significance level 5% obtained variables that significantly affect to GDI of male population which is Mean Years of Schooling (X3) and Per capita expenditure adjusted (X4). Meanwhile variables that significantly affect GDI of the female population are Life Expectancy at birth (X1), Expected of Years Schooling (X2), and Per capita expenditure adjusted (X4). Keywords: Gender Development Index (GDI), Ordinal Probit Regression. ABSTRAK Indeks Pembangunan Gender (IPG) menggambarkan kesenjangan pembangunan manusia antara laki-laki dan perempuan. Pada tahun 2015, Pulau Sumatera merupakan pulau di Indonesia yang memiliki provinsi dan kabupaten/kota dengan angka IPG tertinggi. Provinsi dan kabupaten/kota tersebut yaitu Provinsi Sumatera Barat dan Kota Bukit Tinggi dengan IPG masing-masing sebesar 94,74 dan 99,75. Angka IPG yang tinggi menunjukkan bahwa kesetaraan gender di wilayah tersebu…
subject: Articles
  topic: section
subject: Indeks Pembangunan Gender, Regresi Probit Ordinal.
  topic: keywords
subject: Statistics
  topic: subjects
creator: Cucu Cahyati
creator: Nar Herrhyanto
creator: Entit Puspita
rights: Copyright (c) 2019 https://creativecommons.org/licenses/by/4.0
date: 2019-11-01
publication date: 2019-11-01
starting page: 83
ending page: 99

Analisis Regresi Linear Piecewise Dua Segmen dengan Menggunakan Metode Kuadrat Terkecil
type: item
description: Linear regression analysis is a statistical technique used to develop models that determine the causal relationship between two or more variables, namely the independent and dependent variables. This analysis can be performed on the entire dataset or by dividing the values of the independent variable into several sections, then applying regression analysis to each segment so that more than one model can be studied within a single case study. This division of x-variable values into several segments is known as piecewise linear regression analysis, and the x-value that serves as the division point is called a breakpoint. The method used to estimate the linear regression values and breakpoint parameters is the least squares method. The case to be investigated in the application of this piecewise linear regression is the relationship between inflation and the money supply in Indonesia from 2014 to 2017. Keywords: Breakpoint, Inflation, Least squares method, Money supply, Piecewise. ABSTRAK Analisis regresi linear adalah teknik statistika untuk membentuk model dalam menentukan hubungan sebab akibat antara dua variabel atau lebih, yaitu variabel bebas dan variabel terikat. Analisis ini dapat dilakukan pada semua data atau membagi nilai variabel bebas menjadi beberapa bagian, kemudian menerapkan analisis regresi pada setiap bagian (segmen) sehingga akan dipelajari lebih dari satu model dalam satu studi kasus. Pembagian nilai variabel x menjadi beberapa segmen ini kemudian disebut analisis regresi linear piecewise dan nilai x yang menjadi titik pembagian segmen disebut breakpoint. Metode yang digunakan untuk memperkirakan nilai regresi linear dan parameter breakpoint adalah metode kuadrat terkecil. Kasus yang akan diteliti dalam penerapan regresi linear piecewise ini adalah hubungan inflasi dengan jumlah uang beredar di Indonesia pada 2014-2017.
subject: Articles
  topic: section
subject: Inflasi
  topic: keywords
subject: Jumlah uang beredar
  topic: keywords
subject: Metode kuadrat terkecil
  topic: keywords
subject: Piecewise
  topic: keywords
subject: Statistics
  topic: subjects
creator: Titia Ningsih
creator: Nar Herrhyanto
creator: Dewi Rachmatin
rights: Copyright (c) 2019 https://creativecommons.org/licenses/by/4.0
date: 2019-11-01
publication date: 2019-11-01
starting page: 63
ending page: 82

Kriptografi dengan Mengkomposisikan Vigenere Cipher dan Algoritma Knapsack Merkle-Hellman
type: item
description: Information technology continues to evolve over time. However, with the advancement of technology, information is often intercepted or altered by unauthorized parties. Therefore, a specific art or science is required to maintain message security, namely Cryptography. The problem studied in this research is the development of the Vigenere Cipher and the Merkle-Hellman Knapsack Algorithm by composing these two cryptographic algorithms. The Vigenere Cipher key, traditionally consisting of a 26-character alphabet, will be expanded to 95 characters, while the Merkle-Hellman Knapsack algorithm utilizes a superincreasing integer sequence to disguise the private key as a public key. The method for composing these two algorithms involves encrypting the message using the Vigenere Cipher, followed by encrypting the resulting ciphertext using the Merkle-Hellman Knapsack algorithm. Furthermore, a cryptographic application program was developed to facilitate users in utilizing this composite algorithm. Keywords: Composition, Decryption, Encryption, Merkle-Hellman Knapsack, Vigenere Cipher. ABSTRAK Teknologi informasi dari masa ke masa terus mengalami perkembangan. Namun dengan berkembangnya teknologi, informasi seringkali disadap atau diubah oleh pihak-pihak yang tidak berhak mengetahui informasi tersebut. Oleh karena itu diperlukan suatu seni atau ilmu untuk menjaga keamanan pesan yaitu Kriptografi. Masalah yang dikaji yaitu mengembangkan kriptografi Vigenere cipher dan Algoritma Knapsack Merkle-Hellman dengan cara mengkomposisikan dua algoritma kriptografi tersebut.kunci Vigenere Cipher merupakan alfabet 26 karakter yang akan ditingkatkan menjadi 95 karakter sedangkan algoritma Knapsack Merkle-Hellman merupakan barisan integer superincreasing yang menyamarkan kunci rahasia menjadi kunci publik. Metode mengkomposisikan kedua algoritma ini yaitu pesan dienkripsi menggunakan Vigenere cipher, kemudian ciphertext dienkripsi menggunakan algoritma Knapsack Merkle-Hellman. Selanjutnya …
subject: Articles
  topic: section
subject: Dekripsi
  topic: keywords
subject: Enkripsi
  topic: keywords
subject: Komposisi
  topic: keywords
subject: Knapsack Merkle-Hellman
  topic: keywords
subject: Vigenere cipher
  topic: keywords
subject: Cryptography
  topic: subjects
creator: Raden Danika Aghniya
creator: Rini Marwati
creator: Husty Serviana Husain
rights: Copyright (c) 2019 https://creativecommons.org/licenses/by/4.0
date: 2019-11-01
publication date: 2019-11-01
starting page: 52
ending page: 62

Implementasi Digital Signature Algorithm (DSA) Menggunakan Secure Hash Algorithm-256 (SHA-256) pada Media Gambar
type: item
description: With the advancement of technology, documents are now produced not only in printed form but also in digital form, particularly image documents. The advantages of digital documents are that they are easier and more efficient to use; however, they are also easily forged. To address this issue, a security technique for digital documents is required, namely by applying digital signatures. With a digital signature, every unique image message has a unique signature. Therefore, digital signatures are effective for message security. The digital signature in question is not a digitized manual signature, but rather a code derived from the Digital Signature Algorithm (DSA) process. This research aims to explain the implementation process of the Digital Signature Algorithm using a hash function, specifically Secure Hash Algorithm-256 (SHA-256), on image media, as well as to design a digital signature program. Keywords: Asymmetry, Cryptography, Digital Signature Algorithm (DSA), Hash ABSTRAK Dengan berkembangnya teknologi, kini dokumen tidak hanya diproduksi dalam bentuk cetak saja tetapi diproduksi juga dalam bentuk digital, khususnya dokumen gambar. Keuntungan dokumen digital yaitu lebih mudah dan efisien dalam penggunaannya tetapi dokumen digital pun mudah untuk dipalsukan. Untuk mengatasi hal tersebut, dibutuhkanlah suatu teknik keamanan dokumen digital yaitu dokumen diberi tanda tangan digital. Dengan tanda tangan digital, setiap pesan gambar yang berbeda memiliki tanda tangan yang berbeda. Oleh karena itu tanda tangan digital baik untuk digunakan sebagai keamanan pesan. Tanda tangan digital yang dimaksud bukanlah tanda tangan manual yang didigitalkan melainkan sebuah pengkodean yang didapat dari proses Digital Signature Algorithm. Penelitian ini bertujuan untuk menjelaskan proses implementasi Digital Signature Algorithm dengan menggunakan fungsi hash, yaitu Secure Hash Algorithm-256 pada media gambar serta merancang program tanda tangan digital.
subject: Articles
  topic: section
subject: Asimetri
  topic: keywords
subject: DSA
  topic: keywords
subject: Hash
  topic: keywords
subject: Kriptografi
  topic: keywords
subject: Cryptography
  topic: subjects
creator: Sahl Fawzy Sutopo
creator: Rini Marwati
creator: Cece Kustiawan
rights: Copyright (c) 2019 https://creativecommons.org/licenses/by/4.0
date: 2019-03-15
publication date: 2019-03-15
starting page: 30
ending page: 38

Program Aplikasi Pengelompokan Obyek dengan Metode Self Organizing Map menggunakan Bahasa R
type: item
description: Cluster analysis is one of multivariate analysis technique that is purposed to alocate a group of object of independent groups, the so-called cluster, so as to each object in a same group is homogeneous, whilst each object in different group is heterogeneous. In this research, the process of cluster analysis is conducted by employing Self Organizing Map method. Self Organizing Map is one of method in artificial neural network that use unsupervised learning. However, the process of grouping of Self Organizing Map took a long time and it can generate mistakes in its calculation if it is conducted manually, for that concern this research provides a program application for the grouping process with Self Organizing Map using R programming language. Output of the application program is a clustering process that consist of calculation result for each iteration and object grouping result provided in Console worksheet in R software. After the application program is completely created, finally it is applied to data of Human Development Index of Aceh province in 2013. From the application program, by first determining the cluster to be formed ie 4 clusters obtained by the number of cluster members to 1,2,3 and 4 respectively are 10, 2, 1, and 11. Keywords: Cluster Analysis, R-language, Self-Organizing Map. ABSTRAK Analisis klaster merupakan salah satu teknik analisis statistika multivariat yang bertujuan untuk mengalokasikan sekelompok objek pada suatu kelompok-kelompok yang saling bebas, yang disebut sebagai klaster, sehingga objek-objek di dalam satu kelompok homogen, sedangkan objek-objek di dalam kelompok yang berbeda heterogen. Pada penelitian ini, proses analisis klaster dilakukan dengan menggunakan metode Self Organizing Map. Self Organizing Map merupakan salah satu metode dalam jaringan syaraf tiruan yang menggunakan pembelajaran tak terawasi. Akan tetapi proses pengelompokan dengan metode Self Organizing Map memerlukan waktu yang cukup lama serta dapat terjadi kesalah…
subject: Articles
  topic: section
subject: Analisis Klaster
  topic: keywords
subject: Self-Organizing Map
  topic: keywords
subject: R.
  topic: keywords
subject: Statistics
  topic: subjects
creator: Siti Kania
creator: Dewi Rachmatin
creator: Jarnawi Afgani Dahlan
rights: Copyright (c) 2019 https://creativecommons.org/licenses/by/4.0
date: 2019-11-01
publication date: 2019-11-01
starting page: 17
ending page: 29