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Aplikasi Himpunan Julia dalam Membuat Rancangan Motif Fraktal Songket Palembang
Eka Susanti
Jurnal Matematika Vol 6 No 2 (2016)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University
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DOI: 10.24843/JMAT.2016.v06.i02.p74
Songket is one of the Indonesian arts and culture into community characteristics Palembang. Palembang songket motifs influenced by Islamic culture, in general, Palembang songket motifs shaped flowers. In this paper are given motif fractal Palembang songket motifs Sadum Tumpal Ulos. This motif is formed from the set of Julia with , with z = a + ib and n = 5.5; n = 6 and n = z.
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
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DOI: 10.24843/JMAT.2016.v06.i02.p70
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.
Scaffolding untuk Mengatasi Kesalahan Menyelesaikan Soal Cerita Sistem Persamaan Linear Dua Variabel
Yessy Nur Hartati
Jurnal Matematika Vol 6 No 2 (2016)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University
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DOI: 10.24843/JMAT.2016.v06.i02.p75
The aims of the research is to describe the student’s errors in solving word problem about two variable linear equations system based Field Independence (FI) and Field Dependence (FD) cognitive style and describe the scaffolding used to solve student’s errors in solving word problem about two variable linear equations system based FI and FD cognitive style. This research uses qualitative research methods by giving test n interviewing on the subject of research. Results showed that students with FI cognitive style make errors in solving mathematical model and stating the final answer. Whereas FD cognitive style of students make errors in understanding the problem, making a mathematical model, completing mathematical model and stating the final answer. The scaffolding given to FI cognitive style student includes reviewing. Whereas the scaffolding given to FD cognitive style student include explaining, reviewing and restructuring
Kajian Pembentukan Segitiga Sierpinski Pada Masalah Chaos Game dengan Memanfaatkan Transformasi Affine
Kosala Dwidja Purnomo;
Rere Figurani Armana;
, Kusno
Jurnal Matematika Vol 6 No 2 (2016)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University
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DOI: 10.24843/JMAT.2016.v06.i02.p71
The collection of midpoints in chaos game at early iteration looked like a shapeless or chaos. However, at the thousands of iterations the collection will converge to the Sierpinski triangle pattern. In this article Sierpinski triangle pattern will be discussed by the midpoint formula and affine transformation, that is dilation operation. The starting point taken is not bounded within the equilateral triangle, but also outside of it. This study shows that midpoints plotted always converge at one of vertices of the triangle. The sequence of collection midpoints is on the line segments that form Sierpinski triangle, will always lie on the line segments at any next iteration. Meanwhile, a midpoint that is not on the line segments, in particular iteration will be possible on the line segments that form Sierpinski triangle. In the next iteration these midpoints will always be on the line segment that form Sierpinski triangle. So, the collection of midpoints at thousands of iteration will form Sierpinski triangle pattern.
Pendekatan Fuzzy Pada Peramalan Jumlah Kunjungan Wisatawan Mancanegara ke Kabupaten Badung
Tjokorda Bagus Oka;
Eka N. Kencana
Jurnal Matematika Vol 6 No 2 (2016)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University
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DOI: 10.24843/JMAT.2016.v06.i02.p76
This work is directed to forecast the number of foreign visitors come to tourist’s destinations at Badung regency, Province of Bali. Using visit historical data for period January 2000 to February 2015, Markov Transition Matrix and Fuzzy Triangular Number are applied to represent fuzzy logical relationship group and member function in fuzzy model, respectively. The results showed the in-sample forecasting accuracy for our fuzzy model as much as 2,48 percent. To validate the model, we found the average forecasting error rate for five consecutive months (March – July 2015) as much as 2,70 percent.
Distribusi Difference dari S-Box Berbasis Fungsi Balikan Pada GF(28)
Andriani Adi Lestari;
Nunik Yulianingsih
Jurnal Matematika Vol 6 No 2 (2016)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University
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DOI: 10.24843/JMAT.2016.v06.i02.p72
Substitution-box (s-box) is a basic component of block cipher which performs a substitution. Two powerful cryptanalysis techniques applied to block ciphers are linear cryptanalysis and differential cryptanalysis. The resistance against differential cryptanalysis can be achieved by eliminating high-probability differential trails. We should choose an s-box where the maximum difference propagation probability is as small as possible to eliminating high-probability differential trails. Nyberg proposed a method to construct the s-box by using the inverse mapping on a finite field then implements affine transformations on . In this study, we generate 47.104 s-box according to Nyberg. The experimental results showed that s-boxes have the maximum difference propagation probability with the same frequency.
Penentuan Susu Formula Ideal untuk Bayi Menggunakan AHP di Wilayah Kota Mataram
Ni Wayan Switrayni;
Qurratul Aini;
, Irwansyah
Jurnal Matematika Vol 6 No 2 (2016)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University
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DOI: 10.24843/JMAT.2016.v06.i02.p73
This research aims to determine the ideal formula milk for infants aged 1-3 years in the Region of Mataram City of West Nusa Tenggara. Method of this research is inductive. This research used Analytical Hierarchy Process (AHP) to determine the ideal formula milk for infants aged 1-3 in Mataram City Region of West Nusa Tenggara based on several criteria such as price, nutritional value, net of packaging, and flavors. The result of this research showed that Analytical Hierarchy Process (AHP) can be used as one of the methods of decision-making in determining the ideal formula milk for infants aged 1-3 in Mataram City Region based on the four criteria.
CR- Submanifolds of a Nearly Trans-Hyperbolic Sasakian Manifold with a Quarter Symmetric Semi Metric Connection
Shamsur Rahman
Jurnal Matematika Vol 6 No 2 (2016)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University
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DOI: 10.24843/JMAT.2016.v06.i02.p69
The object of the present paper is to initiate the study contact CR- submanifolds of a nearly trans-hyperbolic Sasakian manifold with a quarter symmetric semi metric connection. For this, some properties of CR- submanifolds of a nearly trans-hyperbolic Sasakian manifold with a quarter symmetric semi metric connection are investigated which conclude that CR- submanifolds of a nearly trans-hyperbolic Sasakian manifold with a quarter symmetric semi metric connection exists with respect to the ?????horizontal and ?????vertical.
Optimasi Kendaraan Pengangkut Sampah di Kecamatan Kertapati Menggunakan Pemrograman Bilangan Bulat
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
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DOI: 10.24843/JMAT.2017.v07.i02.p88
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 the optimal number of vehicles ritase waste carrier with the highest amount of waste as a goal. The total time of transport, the maximum capacity of conveyance and the maximum amount of waste that must be transported as an integer linear programming constraints. Completion of linear models using methods Branch and Bound. Volume of waste in Lambung 87 is 7630 kg, the optimal use of dumb truck with 2 ritase carriage. Volume of waste in the Lambung 42 as much as 8850 kg, optimal use armroll with 3 ritase carriage. The amount of waste in the Lambung 69 as much as 7770 kg, more optimal use of dumb truck with 2 ritase carriage.
CR- Submanifolds of a Nearly Trans-Hyperbolic Sasakian Manifold with a Quarter Symmetric Semi Metric Connection
Shamsur Rahman
Jurnal Matematika Vol 6 No 2 (2016)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University
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The object of the present paper is to initiate the study contact CR- submanifolds of a nearly trans-hyperbolic Sasakian manifold with a quarter symmetric semi metric connection. For this, some properties of CR- submanifolds of a nearly trans-hyperbolic Sasakian manifold with a quarter symmetric semi metric connection are investigated which conclude that CR- submanifolds of a nearly trans-hyperbolic Sasakian manifold with a quarter symmetric semi metric connection exists with respect to the ?????horizontal and ?????vertical.