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MATEMATIKA
Published by Universitas Diponegoro
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Articles 300 Documents
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MENENTUKAN INVERS DRAZIN DARI MATRIKS SINGULAR Khasanah, Lisnilwati; Bambang, Irawanto
MATEMATIKA Vol 14, No 3 (2011): Jurnal Matematika
Publisher : MATEMATIKA

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Abstract

A singular matrix A with size  has a inverse be called Drazin inverse and denoted by . This inverse can be obtained by specifying a generalized Modal matrix and Jordan canonical form  of matrix A. Generalized Modal matrix  is a matrix where its columns consisting of generalized eigen vectors  from the matrix A, while the Jordan canonical form  is a matrix which entries on its main diagonal consisting of Jordan block matrix . Next, two matrices were used to determine Drazin inverse of matrix A.
TEOREMA ELIMINASI CUT PADA SISTEM LOGIKA FLgc DAN FLw,gc Surarso, Bayu
MATEMATIKA Vol 10, No 2 (2007): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

It is well known that the cut elimination theorem does not hold for FLc dan FLw,c, neither for propositional level nor predicate level. On the other hand, it has been proved that for the propositional level the cut elimination theorem holds for FL with global contraction (FLgc), which is equivalent to FLc. Similar result is also shown for system FL with both weakening and global contraction rule (FLw,gc), which is equivalent to FLw,c. In the present paper we modify and develop the method used to prove the cut elimination for proportional logic FLgc to show that the cut elimination theorem even holds for the predicate logics FLgc dan FLw,gc.  
MODUL BERSUPLEMEN UTAMA SEBAGAI GENERALISASI DARI MODUL BERSUPLEMEN ., Fitriani
MATEMATIKA Vol 18, No 1 (2015): Jurnal Matematika
Publisher : MATEMATIKA

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Abstract

An R-module M is called supplemented if every submodule of M has a supplement in M. Principally supplemented modules are defined as generalizations of lifting, principally lifting and supplemented modules. In this paper, we will characterize principally supplemented modules as a generalization of supplemented module respect to duo module and distributive module.
MODEL DIFRAKSI SINYAL PADA BIDANG MIRING TAJAM suhartono, Suahrtono; Kushartantya, Kushartantya; sugiharto, Aris
MATEMATIKA Vol 11, No 3 (2008): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

Signal is a wave that can be expressed by physical phenomenon. Mathematically signal wave can be represented as a function of single or many independent variables, for example signal wave over hill or mountain as a function of distance or time. In fact, signal spreading as a wave have many attenuation, for example is caused by difraction  when the signal over hill or building. The purpose of this writing scientific jurnal is to make a model of knife edge difraction, that seen by two cases, such as transmitter has same height to receiver and transmitter has different height to receiver. Computation result show that transmitter has same height to receiver then the increasing of value of v cause reduction of difraction variable. And  in case of the height transmitter and receiver is not the same, the degradation of v variable has an effect to the increasing of difraction variable.  
INVERS MATRIKS MOORE PENROSE ATAS RING KOMUTATIF DENGAN ELEMEN SATUAN SRRM, Titi udjiani
MATEMATIKA Vol 7, No 1 (2004): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

Jika A adalah matriks  dengan elemen Ring komutatif dengan elemen satuan yang berukuran mxn maka matriks invers  dari A yang disebut dengan matriks invers Moore Penrose dari A ditulis G(A) dapat diperoleh dengan memenuhi syarat perlu dan cukup agar G(A) merupakan invers Moore Penrose dari A
DIMENSI PARTISI nGRAF AMALGAMASI BINTANG YANG DIHUBUNGKAN SUATU LINTASAN Asmiati, Asmiati
MATEMATIKA Vol 19, No 3 (2016): Jurnal Matematika
Publisher : MATEMATIKA

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Abstract

Let  be a connected graph, vertex , and .  For an ordered k-partition,  the representation v with respect to π is the k-vector ) , are distinct. The minimum k for which there is a resolving k-partition of  is the partition dimension of denoted by  .  In this paper, we determine the partition dimension for certain amalgamation of stars, namely nSk,m. 
MENGENAL JARINGAN LAN (LOCAL AREA NETWORK) kurniastuti, awalina
MATEMATIKA Vol 4, No 3 (2001): Jurnal Matematika
Publisher : MATEMATIKA

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Abstract

Jaringan LAN adalah jaringan komputer yang terdiri dari beberapa komputer sampai ratusan komputer dalam sebuah gedung/kampus. Sehingga penggunaan jaringan LAN hanya sampai pada jarak beberapa kilometer. Pada jaringan LAN, komputer terbagi degan istilah komputer server dan komputer workstation yang memakai bersama resource (printer) dan saling bertukar informasi.
INTEGER QUADRATIC OPTIMIZATION MODEL TO SOLVE SUPPLIER SELECTION PROBLEM WITH BUDGETARY CONSTRAINT Sagita, Hendry; Sutrisno, Sutrisno; Ratnasari, Lucia
MATEMATIKA Vol 20, No 2 (2017): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

In this paper, we propose an integer quadratic optimization model to determine the optimal decision for a supplier selection problem. The decision is the optimal product volume that has to be purchased from each supplier so that the total cost is minimum and the constraints are satisfied. The cost function that we used is containing the purchasing cost, transportation cost, penalty cost for product that not satisfy the quality level, penalty cost for product that is late and the holding cost whereas the constraints are consisting of supplier capacity constraint, demand satisfying, supplier assignment, inventory management, and budget constraint. A numerical experiment with generated random data is given to illustrate how the supplier selection problem can be solved by using the proposed mathematical model. From the results, the optimum product volume from each suppliers was determined so that the total cost is minimum.
ESTIMASI PARAMETER MODEL TAHAP AWAL AR(1) REGRESI RESPON BINER LONGITUDINAL Fajriyah, Rohmatul; subanar, subanar
MATEMATIKA Vol 5, No 3 (2002): Jurnal Matematika
Publisher : MATEMATIKA

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Abstract

Data yang diperoleh dari hasil pengukuran berulang pada subyek tertentu, biasanya akan berkorelasi. Pada regresi respon biner, jika digunakan model autoregressif order -, AR(1), maka diperlukan pengetahuan tentang  outcome sebelumnya, , yang tak terobservasi. Model untuk menginferensi data dengan model AR(1), diantaranya adalah model AR(1) kondisional. Pada model ini, nilai  diambil sembarang, yaitu   atau . Model di atas akan dibahas dan dibandingkan hasil estimasinya melalui studi simulasi
PENENTUAN SUATU PENGONTROL DENGAN INDEKS PERFORMANSI BERUPA NORMA CAMPURAN DAN Soelistyo, Robertus Heri
MATEMATIKA Vol 10, No 3 (2007): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

. This paper considers the mix-norm / standard problem. Specifically an LQG control design problem involving a constraint on  disturbance attenuation is addressed. It is shown that the / dynamic compensator gains are completely characterized via coupled Riccati/Lyapunov equation. The principle result involves sufficient condition for characterizing full order guaranteeing closed loop stability, constrained  disturbance attenuation and an optimized  performance bound.

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