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Published by Universitas Diponegoro
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Articles 300 Documents
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Penentuan Kestabilan Sistem Kontrol Lup Tertutup Waktu Kontinu dengan Metode Transformasi ke Bentuk Kanonik Terkontrol Heri, Robertus
MATEMATIKA Vol 7, No 1 (2004): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

Kestabilan suatu sistem kontrol lup tertutup, baik waktu kontinu maupun waktu diskrit ditentukan oleh letak pole (pembuat nol untuk suku banyak penyebut) di bidang s atau z. Suatu sistem control lup tertutup waktu kontinu dikatakan stabil jika polenya terletak di sebelah kiri sumbu imajiner (bagian real dari nilai eigen bertanda negatif). Meskipun suatu sistem sudah stabil, belum tentu pole-pole dari system tersebut sesuai yang diinginkan, sebab hal ini menentukan tingkat kecepatan terjadinya kestabilan system tersebut. Penempatan pole sesuai yang diinginkan, dimungkinkan jika dan hanya jika sistem dalam keadaan terkontrol lengkap. Tulisan ini membahas suatu teknik penempatan pole dari sistem waktu kontinu dengan mengubah suatu sistem menjadi bentuk kanonik terkontrol
KONSTRUKSI INTEGRAL MENGGUNAKAN FUNGSI SEDERHANA – PADA [A,B] Aziz, Abdul; Sumanto, YD
MATEMATIKA Vol 19, No 3 (2016): Jurnal Matematika
Publisher : MATEMATIKA

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Abstract

In this paper, weconstruct the δ –  simple functionusing the δ- fine Perron partition. By this function, we defineintegral, which is called Ho integral. 
ANALISIS RAGAM MULTIVARIAT UNTUK RANCANGAN ACAK LENGKAP DENGAN PENGAMATAN BERULANG tatik, widiharih
MATEMATIKA Vol 4, No 3 (2001): Jurnal Matematika
Publisher : MATEMATIKA

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Abstract

            Rancangan satu faktor dengan satuan percobaan yang dipergunakan relatif homogen dan pengamatan dilakukan secara berulang dalam waktu yang berbeda selama periode percobaan dikenal dengan RAL in Time. Waktu pengamatan dipandang sebagai faktor tambahan yang dialokasikan kedalam anak petak, sehingga RAL in time seolah olah dipandang sebagai rancangan split plot. Analisis ragam multivariat digunakan bila respon yang diamati dalam suatu penelitian lebih dari satu. Setiap model rancangan mempunyai analisis ragam multivariat yang bersesuaian. Statistik hitung yang digunakan salah satunya Wilk’s Lamda, yang dibandingkan dengan statistik tabel U. Dengan suatu transformasi statistik Wilk’s Lamda dapat didekati dengan statistik F yang berdistribusi F Fisher. Asumsi dalam manova adalah galat menyebar multinormal dengan vektor rata rata  vektor nol dan matriks peragam (varian-kovarian) homogen. Penyelidikan asumsi multinormal dilakukan dengan plot quantil-quantil didekati dengan quantil chi-kuadrat , sedangkan asumsi kehomogenan matriks peragam dilakukan dengan uji Box’s M. Uji lanjut dari faktor yang berpengaruh nyata terhadap respon yang diamati digunakan uji pembanding ortogonal.
EFISIENSI PENGGUNAAN V-CYCLE DALAM METODE FUNGSI WALSH UNTUK MENYELESAIKAN PERSAMAAN INTEGRAL FREDHOLM LINEAR Widyaningsih, Purnami
MATEMATIKA Vol 6, No 1 (2003): Jurnal Matematika
Publisher : MATEMATIKA

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Abstract

Uljanov and Blyth have developed a new numerical method for the solution of linear  Fredholm integral equations using Walsh functions. The approximate solution is constructed by rewriting the functions as truncated (to m terms) Walsh series and the kernel as truncated double Walsh series. For the equations, this method gives linear systems. The systems then solved using Gauss elimination.  In order to improve the efficiency,  the idea of multigrid, especially v-cycle, is proposed to solve  the linear systems. Here, numerical experiment with standard test problems for numerical solution of linear Fredholm integral equations show that this approach is effective in improving the efficiency of the Walsh function method.
GEOMETRI EUCLID EG(2, pn) UNTUK MEMBENTUK RANCANGAN BLOK TIDAK LENGKAP SEIMBANG Irawanto, Bambang; Hidayati, Yuni
MATEMATIKA Vol 10, No 3 (2007): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

A Balanced Incomplete Block (BIB) design with parameters  is an arrangement of v distinct objects into b bloks such that each block contains exactly k distinct objects, each object occurs in exactly r different blocks, and every pair of distinct object  occurs together in exactly l blocks. Euclidean geometry EG (2, pn) is the finite geometry of two dimensions over the Galois Field GF(pn). By considering that the object of BIB design is same with the points of EG(2, pn) and the blocks which contain those objects are same with the lines which contain the points from EG(2, pn),  EG (2, pn) can be used to construct BIB design.
PELABELAN TOTAL TITIK AJAIB GRAF HASIL KALI KARTESIUS DARI GRAF SIKEL nita, maria; Soelistyo, R. Heri
MATEMATIKA Vol 13, No 1 (2010): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

A vertex-magic total labeling of graph , with the vertices  and the edges  is the bijection from  to the set of integers , and for each vertex  in  satisfying ,  is the vertex that adjacent with , then  named a magic constant in . The sum of the label of  and the labels of all edges  incident to the  is the same for all vertices of  and  named vertex-magic total graph. Vertex-magic total labeling of cartesian products of cycles, with the type , with  and  is odd are the labeling to the  and the concept used to label  is -vertex antimagic total labeling and to label  it is used vertex magic total labeling of cycles, with the cycle is odd.  
METODE DEKOMPOSISI DAN METODE BIG-MUNTUK MENYELESAIKAN PROGRAM LINIER VARIABEL FUZZY TRIANGULAR STUDI KASUS: HOME INDUSTRI BOROBUDUR FURNITURE, BOGOR, INDONESIA Puspitasari, Nanda; Irawanto, bambang; ., Widowati
MATEMATIKA Vol 19, No 1 (2016): Jurnal Matematika
Publisher : MATEMATIKA

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Abstract

Fuzzy Variable Linear Programming (FVLP) with triangular fuzzy variable is part of not fully fuzzy linear programming with decision variables and the right side is a fuzzy number. Solving  FVLP with triangular fuzzy variables used Decomposition Methods and Big-M Methods by using Robust Ranking to obtain crisp values. DecompositionMethods of resolving cases maximization and minimization FVLP by dividing the problems into three parts CLP. Solving FVLP with Big-M Methods to directly solve the minimization case FVLP do without confirmation first. The optimal solution fuzzy, crisp optimal solution, optimal objective function fuzzy and crisp optimal objective function  generated from Decomposition Methods and Big-M Methods for minimizing case has same solution. Decomposition Methods has a longer process because it divides the problem into three parts CLP and Big-M Methods has a fewer processes but more complicated because the process without divide the problems into three parts
DIGRAF EKSENTRIS PADA DIGRAF SIKEL, DIGRAF KOMPLIT DAN DIGRAF KOMPLIT MULTIPARTIT K, Retno Catur; Ratnasari, Lucia
MATEMATIKA Vol 11, No 1 (2008): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

The eccentric digraph of a digraph, , is the digraph that has the same vertex set as  and the arc set defined by: there is an arc from  to  if and only if  is an eccentric vertex of . In this paper, we examine eccentric digraphs of  digraphs of varoius families of digraphs and we consider the behaviour of an iterated sequence of eccentric digraphs of a digraph.  
SIFAT PERIODIK JARINGAN ANTRIAN SERI TERTUTUP DENGAN PENDEKATAN ALJABAR MAX-PLUS Rudhito, M Andy; Wahyuni, Sri; Suparwanto, Ari; Susilo, Frans
MATEMATIKA Vol 14, No 2 (2011): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

  Abstract. This article discussed about the properties of  closed periodic queuing network series susing max-plus algebra. The result showed that the properties of  closed periodic dinamic queuing network series can be determined by using the concept of eigen values ​​and eigen vectors of max-plus matrix in the network model. Through the max-plus eigen vector fundamental, can be determined faster early time departure of customers of departure to the next customer periodically, with a large period of max-plus eigenvalue
PERSAMAAN UMUM JUMLAH EDGE DAN TITIK PADA CYCLE EXTENSION CUBIC GRAPH Hambali, Mohamad Ibnu; ., Wamiliana; ., Fitriani
MATEMATIKA Vol 17, No 3 (2014): Jurnal Matematika
Publisher : MATEMATIKA

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Abstract

In this research we will discuss about cycle extension  of  cubic graph. The cubic graphs used are the cucic graph with n(V(G)) ≤ 8 and k ≥ 3, ;  k is the length of the cycle C and li is the number of vertices or points on  that located between  and  .  The construction process for determining the  use six operations which are M1, M2, M3, M4, M5, dan M6. The result of M1 process on     is a non Hamiltonian cycle while the results of M2, M3, M4, M5, and M6 are Hamiltonian cycles. We also show that the  number of vertives on the   is  n(V()) = n (V(G)) + 2 k  , and  the number of edges on the   is  n(E() = n (E(G)) + 3 k.

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