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Jurnal Matematika
Published by Universitas Udayana
ISSN : 16931394     EISSN : 26550016     DOI : https://doi.org/10.24843/JMAT
Core Subject : Education,
Mathematics
Jurnal Matematika (p-ISSN: 1693-1394 |e-ISSN: 2655-0016| DOI: 10.24843/JMAT ) is an open access journal which publishes the scientific works for researchers. The articles of this journal are published every six months, that is on June and December.
Arjuna Subject : -
Articles 187 Documents
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Faktor-Faktor yang Memengaruhi Orang Tua dalam Memilih Sekolah TK bagi Anak Agnes Juliet Boking; I Gusti Ayu Made Srinadi; Ni Luh Putu Suciptawati
Jurnal Matematika Vol 3 No 2 (2013)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/JMAT.2013.v03.i02.p39

Abstract

School was second place for children to get knowledge and develop skills or talents. A great school and accordance with the character of the child will be able to guide children toward a better future. There are many factors that influence parents in choosing a kindergarten school for children affected from both the internal parents, schools or internal environment. The author would like to see the factors that influence whether parents in choosing a kindergarten school for children and whether there is a relationship between internal indicators of parents, school internally, and the environment. Internal indicators of parents, school internally, and the environment in question include: parent education, parental employment, parental income, school programs, teacher background, facilities, location, promotion, reputation, cost, references, traditions, parents and the learning process. The analysis used were factor analysis and canonical correlation analysis. The results showed that there are seven factors that influence parents in choosing a kindergarten school which factors socio-economic background of parents, location, teacher backgroud, school status, environment, state school, and cost factors. Result of canonical correlation analysis showed that between internal indicators parent with internal school, among parents with the internal environment, and the relationshipbetween internal school and environment provides each significant effect.
PEMODELAN ALJABAR MAX-PLUS DAN EVALUASI KINERJA JARINGAN ANTRIAN FORK-JOIN TAKSIKLIK DENGAN KAPASITAS PENYANGGA TAKHINGGA M. ANDY RUDHITO; SRI WAHYUNI; ARI SUPARWANTO; F. SUSILO
Jurnal Matematika Vol 1 No 1 (2010)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/JMAT.2010.v01.i01.p10

Abstract

This paper aims to model and determine the service cycle completion time of noncyclic fork-joinqueueing networks with infinite buffer capacity, using max-plus algebra. The finding show that thedynamics of the noncyclic fork-join queuing networks with infinite buffer capacity can be modeledinto a matrix equation over max-plus algebra. We can also show that the service cycle completion timeof queuing networks is a max-plus eigenvalues of the matrix in the equation.slklsklslsllsllllllllllllllllllllll
Perancangan Basis Data E-Library Program Studi Matematika FMIPA Universitas Udayana I Gusti Ngurah Lanang Wijayakusuma; I Ketut Restu Wiranata
Jurnal Matematika Vol 8 No 1 (2018)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/JMAT.2018.v08.i01.p98

Abstract

Perancangan basis data merupakan proses membuat desain yang akan mendukung operasional dan tujuan suatu instansi. Pemanfaatan basis data pada e-library memungkinkan untuk menyimpan dan men-download e-book ataupun e-journal dengan mudah. Tujuan dari e-library itu sendiri terkait dengan efisiensi biaya penyimpanan fisik dan mempermudah civitas akademika FMIPA Udayana untuk mencari referensi-referensi yang akan digunakan dalam penelitian mereka. Metode yang digunakan dalam merancang basis data e-library adalah metode perancangan basis data relasional sampai dengan bentuk normal ke 3 (3-NF) dan skema basis data yang dihasilkan digambarkan dengan menggunakan SQLyog. Hasil perancangan sistem basis data e-library ini berupa tiga buah tabel yaitu tabel daftaranggota, tabel download, dan tabel katalog yang sudah memenuhi third norm form. Melalui rancangan basis data e-library ini pengguna dapat mengetahui laporan mengenai data mahasiswa yang menjadi anggota e-library, data download, dan data katalog berupa e-book ataupun e-journal yang tersedia, serta dapat mengetahui beberapa informasi lain yang bermanfaat bagi pengguna berkaitan dengan data pada tabel daftaranggota, tabel download, dan tabel katalog.
FRAKTAL DAN INVERS FRAKTAL Beni Utomo
Jurnal Matematika Vol 1 No 2 (2011)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/JMAT.2011.v01.i02.p13

Abstract

Fraktal sebagai sebuah geometri bisa digambarkan pada ruang dimensi dua dengansyarat yang harus dipenuhi yaitu bisa didefinisikan pada ruang metrik lengkap. Untukmengkonstruksi fraktal secara geometri tersebut diperlukan suatu himpunan fungsi yang dikenaldengan nama IFS dan jika IFS tersebut diiterasikan maka akan terbentuk suatu citra yangdikenal sebagai citra fraktal, artinya setiap ada IFS maka selalu bisa dikonstruksi citra fraktal.Invers fraktal merupakan balikan dari proses tersebut, yaitu jika diberikan sebarang citrafraktal maka bisakah ditemukan IFSnya. Jaminan adanya IFS tersebut dikenal dengan namaTeorema Collage.
Optimasi Kebutuhan Kendaraan Pengangkut Sampah Menggunakan Model Fuzzy Goal Programming Eka Susanti; Oki Dwipurwani; Evy Yuliza
Jurnal Matematika Vol 7 No 2 (2017)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/JMAT.2017.v07.i02.p92

Abstract

Penelitian ini bertujuan untuk menentukan jumlah optimal kendaraan pengangkut sampah menggunakan model goal programming (GP) dengan pendekatan fuzzy. Jumlah minimum sisa sampah yang tidak terangkut dan muatan kosong kendaraan sebagai goal. Jumlah sampah yang harus diangkut, jumlah ketersediaan kendaraan pengangkut, dan jumlah area layanan dinyatakan dalam bentuk Triangular Fuzzy Number (TFN) dan merupakan kendala pada model fuzzy goal programming (FGP). Model FGP diubah ke bentuk deterministik menggunakan teknik program fuzzy. Dipertimbangkan dua jenis kendaraaan yaitu dumb truck dan armroll. Diberikan contoh perhitungan untuk kecamatan Kalidoni kota Palembang. TFN jumlah sampah adalah (58100, 58150, 58300), TFN jumlah dump truck (190,190,193), TFN jumlah armroll (21,21,22), TFN jumlah minimal wilayah layanan (4,5,5). Diperoleh solusi optimal dengan derajat keanggotaan 0,8 untuk mengangkut sampah sebanyak 58150 kg diperlukan kendaraan jenis dump truck sebanyak 1 kendaraan dan jenis armroll sebanyak 18 kendaraan. Terdapat sisa sampah yang tidak terangkut sebanyak 140 kg.
Optimasi Kendaraan Pengangkut Sampah di Kecamatan Kertapati Menggunakan Pemrograman Bilangan Bulat Biner 0 dan 1 Eka Susanti; Endro Setyo Cahyono; Oki Dwipurwani
Jurnal Matematika Vol 6 No 2 (2016)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/JMAT.2016.v06.i02.p70

Abstract

Waste management in the district Kertapati done by the private sector and government. The authorities responsible for waste management is Palembang City Sanitation Department (DKKP). Waste is transported from the area TPS (Transit Depo) to landfill Sukawinatan use two types of vehicles, namely dump trucks and armroll. Analyzed optimality waste carrier vehicles with a total transport time constraints, the maximum capacity of conveyance and the maximum amount of waste that must be transported using integer programming binary 0 and 1. Integer programming binary 0 and 1 problem solved by the Branch and Bound Method. The maximum amount of waste that must be transported to the Lambung 87 is 7330 kg, Lambung 42 as much as 8850 kg and the Lambung 69 as much as 7770 kg. Dump truck and armroll are  vehicles optimized for use on Lambung 42, 87 and 69. 
Sifat Strong Perron-Frobenius Pada Solusi Positif Eventual Sistem Persamaan Differensial Linier Orde Satu Yulian Sari
Jurnal Matematika Vol 4 No 2 (2014)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/JMAT.2014.v04.i02.p45

Abstract

Artikel ini membicarakan tentang sifat strong Perron-Frobenius pada solusi positif eventual sistem persamaan differensial linier orde satu. Syarat perlu agar solusi positif eventual sistem persamaan differensial linier orde satu diajukan. Beberapa kriteria tentang matriks eksponensial positif eventual dan matriks positif eventual juga akan digunakan dalam teorema.
Indikator Kesejahteraan di Provinsi Bali: Suatu Pendekatan Analisis Biplot I Komang Gde Sukarsa; I G K Gandhiadi
Jurnal Matematika Vol 10 No 1 (2020)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/JMAT.2020.v10.i01.p120

Abstract

The goal of this reseach is to get the representation of welfare in Bali province based on the indicators represented by People Development Indexs (PDI). PDI is the indexs is a latent variable that can not be measured like measurement variable, so to measure PDI have to be measure by several indicators. In tgeneral, PDI is measured by three indicators that is a long and Healthy life as the Health Indicators, Education Indicators and decent standard of living as Economic Indicators. In Practice, Health Indicators is measured by mean expectation of life. Mean of long school and expectation of long school are measurement of Education Indicators. Whereas Economic Indicators is represented by purchasing power parity. In Staistics methods, to represent or analize multivariate variable there are many methods can be used. One of the methods is Biplot. In Biplot analysis we can represent information about row matrix and coloum matrix simultaneous. In this cases we can get information about object ( 9 districs or city in Bali) and Welfare Indicators represented by PDIsimultanous. The result of biplot analysis in this research is two dimension graphic that represent Euclid distance of object and correlation of indicators so that we can get information of the grouping of object and the characteristic variables of the certain group.
Rancang Bangun Penilaian Keaktifan Menggunakan Teknik Text Similarity Pada Sistem Tutorial Matematika Diskret I Gede Santi Astawa; Luh Putu Ida Harini; Putri Cahyaning
Jurnal Matematika Vol 5 No 2 (2015)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/JMAT.2015.v05.i02.p62

Abstract

Facility of student activeness in adaptif tutorial system expected be one of the supporting facilities. Activity of students in learning process is process that construct their own knowledge. They are actively building an understanding of the issues or anything they encounter in the learning process.  Because it is constructed from the inside, causing the activity is difficult to assess without having to do face to face, especially the tendency of students to be silent and conceal their ignorance will cause more difficult to assess the students' activity. In this study, the authors designed an extra feature on discrete mathematics tutorial system that has been built, in the form of an online discussion forum to help educators in scoring liveliness (seen from match students' comments and answer key). In this feature, the method used is the method of measuring similarity (similarity text) Rabin Karp to determine the similarity of the comments. Result of the research shows that the feature has been able to increase student interest in providing comments, which given an average of 2.2 comment in every single student. But rabin Karp algorithm used is still deemed less good if a comment is composed of words with errors in typing, necessitating the addition of other algorithms for increase system performance.
Pemodelan Angka Harapan Hidup di Provinsi Jawa Timur Tahun 2007 dan 2011 Berdasarkan Angka Melek Huruf, Rata-rata Lama Sekolah, dan Pengeluaran Perkapita Ni Wayan Dewinta Ayuni
Jurnal Matematika Vol 3 No 1 (2013)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/JMAT.2013.v03.i01.p31

Abstract

Angka harapan hidup merupakan salah satu indikator atau penilaian derajat kesehatan suatu negara atau wilayah dan digunakan sebagai acuan dalam perencanaan program-program kesehatan. Angka harapan hidup dipengaruhi oleh berbagai faktor misalnya angka melek huruf, rata-rata lama sekolah, dan pengeluaran per kapita masyarakat yang ada pada daerah tersebut. Penelitian ini akan membahas pemodelan angka harapan hidup di Provinsi Jawa Timur tahun 2007 dan 2011 menggunakan faktor-faktor tersebut sebagai variabel prediktor. Metode yang digunakan adalah regresi linear berganda, feed forward neural network (FFNN), dan multivariate addaptive regression spline (MARS). Hasil penelitian ini menunjukkan bahwa metode FFNN merupakan metode terbaik dalam pemodelan angka harapan hidup di Provinsi Jawa Timur dilihat dari nilai MSE prediksi yang terkecil

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