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INDONESIA
MATEMATIKA
Published by Universitas Diponegoro
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Articles 300 Documents
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BILANGAN RADIO PADA GRAF GEAR Puspasari, Ambar; Irawanto, Bambang
MATEMATIKA Vol 16, No 1 (2013): Jurnal Matematika
Publisher : MATEMATIKA

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Abstract

Let d(u,v) denote the distance between two distinct vertices of connected graph G, and diam (G) be the diameter of G. A radio labeling c of G is an assignment of positive integer to the vertices of G satisfying  d(u, v) + |c(u) − c(v)| ≥ diam(G) + 1.The maximum integer in the range of the labeling is its span. The radio number of G, rn(G), is the minimum possible span. Radio number of gear graph G’n , for n ≥ 4  is rn(G’n) ≥ 4n + 2, and n ≥ 7 is rn(G’n) ≤ 4n + 2. The labeling of gear graph G’n , n=4,5,6 is rn(G’4) = 18, rn(G’5) = 22, rn(G’6) = 26 than for n ≥ 4 , the radio number rn(G’n) is  4n + 2.
NILAI SOLUSI PENDEKATAN SISTEM LINEAR SKALA BESAR MENGGUNAKAN GMRES dkk, Farikhin
MATEMATIKA Vol 11, No 3 (2008): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

Many engineering process require the solution of linear system of the form , where A is a  nonsingular real matrix,  , and vector  is solution of the linear system. There are two methods for solving large scale linear system which are full orthogonalization method (FOM) and Generalized minimal residual (GMRES). GMRES is most popular method to solve large scale linear equations. In this paper, we proven that GMRES preserved the magnitude of approximations solution of linear system.
GRAF FUZZY REGULER DAN HUBUNGANNYA DENGAN GRAF FUZZY REGULER TOTAL Natalia, Priskila Denny; Ratnasari, Lucia
MATEMATIKA Vol 14, No 2 (2011): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

Fuzzy graph is a graph consists pairs of vertex set and edge set that have degree of membership containing closed interval of real number [0,1] on each edge and vertex. Regular fuzzy graph and totally regular fuzzy graph were defined by A.Nagoor Ghani and K.Radha. This paper studied the definitions of regular fuzzy graph and totally regular fuzzy graph. Next, showed that a necessary and sufficient condition under which regular fuzzy graph and totally regular fuzzy graph were equivalent
PROGRAM LINIER FUZZY PENUH DENGAN METODE KUMAR Wahyudy, Shintia Devi; Irawanto, Bambang
MATEMATIKA Vol 17, No 3 (2014): Jurnal Matematika
Publisher : MATEMATIKA

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Abstract

Fully fuzzy linear programing is part of a crisp linear programming (linear programimg with a number of crisp) which the numbers used are fuzzy numbers. Solving a fully fuzzy linear programming problems by using Kumar method to fuzzy optimal solution and crisp optimal value.. Solving fuzzy optimal solution by Kumar method  on triangular fuzzy number to divide into tree objective functions and defuzzification  by using ranking function and  α - cutting to get crisp  optimal solution. This paper discusses about Kumar methods method for solving fully fuzzy linear programming in which fuzzy numbers used are triangular fuzzy numbers.  
ELEMEN PEMBANGUN T DALAM SEMIGRUP - T Sumanto, Y.D
MATEMATIKA Vol 4, No 2 (2001): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

Misalkan M himpunan tak kosong dan G himpunan operasi biner assosiatif pada M. Jika untuk setiap  a, b  Î G dan untuk setiap  x, y,z  Î M  berlaku  (xay) bz = xa(ybz), maka M disebut  semigrup-G. Dalam tulisan ini akan ditunjukkan bahwa jika a Î G dan untuk setiap x Î M ada y, z Î M sedemikian hingga x = yaz, maka untuk setiap b Î G ada b Î M sedemikian hingga  b  =  aba.
RUANG MATRIX LINEAR TRANSLASI INVARIAN PADA RUANG FUNGSI INTEGRAL HENSTOCK-DUNFORD PADA [a,b] Solikhin, Solikhin; Sumanto, YD; Hariyanto, Susilo; Aziz, Abdul
MATEMATIKA Vol 20, No 2 (2017): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

In this paper we study Henstock-Dunford integral on [a,b]. We discuss some properties of the integrable. We will construct norm and matrix on Dunford-Henstock integrable function space, $HD[a,b]$. We obtain that $HD[a,b]$ is linear space. A function $\left\| \,.\, \right\|:HD[a,b]\to R$ defined by $\left\| f \right\|=\underset{\begin{smallmatrix} {{x}^{*}}\in {{X}^{*}} \\ \left\| {{x}^{*}} \right\| \le 1 \end{smallmatrix}}{\mathop{\sup}}\, \\ left( \underset{A\subset[a,b]}{\mathop{\sup}}\,\,\left| \left( H \right) \int \limits_{A}{{{x}^{*}}f} \right| \right)$ for every $f \in HD[a,b]$ is norm on linear space $HD[a,b]$. A function $d:HD[a,b]\times HD[a,b]\to R$ defined by $d\left( f,g \right)=\left\| f-g \right\|$ for every $f,g\in HD[a,b]$ is a matrix on linear space $HD[a,b]$. Further more, linear space $HD[a,b]$ is linear matrix translation invarian space.
PEMANFAATAN MODEL-MODEL PEMBELAJARAN MATEMATIKA SEKOLAH SEBAGAI KONSEKUENSI LOGIS OTONOMI DAERAH BIDANG PENDIDIKAN pujiastuti, emi
MATEMATIKA Vol 5, No 3 (2002): Jurnal Matematika
Publisher : MATEMATIKA

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Abstract

Pelaksanaan otonomi daerah bidang pendidikan didasarkan atas pasal 11 ayat (2) UU No. 22/1999 tentang Pemerintahan Daerah dan diikuti oleh PP No. 25/2000 Pasal 2 ayat (11) yang antara lain menuliskan tentang kewenangan pusat untuk mengatur penetapa kurikulum nasional dan evaluasinya, serta penetapan standar materi pelajaran pokok. Sedangkan guru memiliki kewenangan untuk menyelenggarakan proses pembelajaran secara otonomi. Konsekuensi logisnya, guru dapat mengembangkan kreativitasnya dalam menerapka model-model pembelajaran. Model pembelajaran adalah pola pembelajaran yang diterapkan/dipilih guru dalam menyampaikan materi bahan ajar, sehingga tujuan pembelajaran dapat dicapai sesuai dengan yang dikehendaki guru. Dalam menerapkan/memanfaatkan suatu model pembelajaran matematika, diasumsikan bahwa guru dianggap telah menguasai materi bahan ajar dan dapat menyajikannya dengari baik, hangat, dan penuh keantusiasan. Model-model pembelajaran yang dapat diterapkan guru banyak sekali ragamnya. Di antaranya, (1) model pembelajaran Ekspositori., yakni guru mengajarkan materi diselingi dengan latihan-latihan soal, (2) model pembelajaran Quantum Teaching, yang mencoba menciptakan suasana pembelajaran matematika menjadi menyenangkan, menakjubkan dan setiap keberhasilan perlu dirayakan. (3) model pembelajaran Konstruktivis, yakni meminta kepada para siswa untuk mempelajari dahulu materi yang akan diajarkan, (4) model pembelajaran Realistic Mathematics Education (RME), yang dalam hal ini guru harus menyiapkan soal tentang kehidupan sehari-hari yang harus dipecahkan dengan materi pelajaran yang akan diterangkan kemudian, (5) model pembelajaran Problem Posing, yang mengharuskan siswa mengajukan soal dan solusinya, serta (6) model pembelajaran Pengajaran Berbalik (Reciprocal Teaching), yakni meminta siswa untuk menyajikan materi yang dipilih guru, di depan kelas. Diharapkan, dengan adanya otonomi daerah bidang pendidikan ini, dapat dijadikan wahana bagi guru untuk mengembangkan kreativitasnya di bidang penyajian materi bahan ajar.
ASURANSI KESEHATAN INDIVIDU PERAWATAN RUMAH SAKIT Wilandari, Yuciana
MATEMATIKA Vol 10, No 3 (2007): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

The Individual Insurance Health of the Hospital Care is a cooperation form to reduce hospital expenses. The calculation of the annual net premium is influenced by age and sex at the policy released time. The premium can be paid once in each year by renewing the premium every year and also cannot be renewed.  
MEMBANGUN KODE GOLAY (24, 12, 8) DENGAN MATRIKS GENERATOR DAN MENGGUNAKAN ATURAN KONTRUKSI rizki, ikhsan; Irawanto, Bambang
MATEMATIKA Vol 13, No 1 (2010): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

The binary (24, 12, 8) extended Golay code can be constructed through the direct sum operation with involve two product codes. This method form the generator matrix framework of the (24, 12, 8) Golay code that is based on the so-called Turyn or |a + x|b + x|a + b + x| construction, where a,b C1 and x C. C1 and C is the (8, 4, 4) linear block codes. C can be gotten by applying construction rules to get the generator matrix of C. With C1 and C and by applying the generator matrix framework of the (24. 12, 8) Golay code get the binary (24, 12, 8) extended Golay code.  
ANALISA BEBAN PENGEREMAN TERHADAP KUALITAS KAMPAS REM TROMOL MOBIL DENGAN METODE OGHOSI Taufiq, M. Qurohman; ., Syarifudin
MATEMATIKA Vol 19, No 1 (2016): Jurnal Matematika
Publisher : MATEMATIKA

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Abstract

The development of technology is currently grows rapidly now and the impact from the development is there will be a wide variety of design technology, especially in the field of automotive engine and methods. Therefore it needs a lot of research and analysis, one of them is the braking load for the braking pressure, wearing and the resulting of quality. The purpose of this study was to determine the thickness of the wearing of the brake drum testing and to know the quality of the brake drum car. The method in this research by collecting data with the literature, observation and experimentation, and used analytical Oghosi method. The type of vehicle in this study is Diesel Isuzu Panther. To get a good quality of brake linings, the material must have these characteristics such as : a high coefficient of friction, the material characteristic is not influenced by the environment and condition, the resistance to high temperatures and the resistance to wearing and friction. In the research braking loads is started from 5 kg to 25 kg which is obtained values ​​ranging from 0,00381 mm2/Kg up to 0,00809 mm2/Kg. Therefore, in this study concluded that the addition of loads was greater than the addition of a specific value shrinking, it is influenced by the presence of a higher traction due to greater loading.

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