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MATEMATIKA
Published by Universitas Diponegoro
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Articles 8 Documents
 1 
Search results for , issue "Vol 13, No 2 (2010): JURNAL MATEMATIKA" : 8 Documents clear
OBYEK GRUP DAN OBYEK KOGRUP DARI SEBUAH KATEGORI Puspita, Nikken Prima; Wijayanti, Indah Emilia; Susanti, Yeni
MATEMATIKA Vol 13, No 2 (2010): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

. A category contained a classes of objects and morphism between  two object. For any chategory with initial object, terminal object, product and coproduct can defined a special object i.e group object and cogroup object. Object group obtained from cathegory object which have fulfil definition like definition a group. The cogroup object is dual from group object.  
WAKTU OPTIMUM PRODUKSI DAN KONSUMSI OKSIGEN RUMPUT LAUT GRACILARIA VERRUCOSA Kartono, Kartono; Izzati, Munifatul Izzati
MATEMATIKA Vol 13, No 2 (2010): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

Seaweed Gracilaria verrucosa not only produce oxygen but also consume oxygen. Consider   the production and consumption of the oxygen, we can determined that the production and consumption models of oxygen like a logistic models. Finally, in this paper  presented a role to determine an optimum time of the oxygen production and consumption.
PENGGUNAAN BEBERAPA TEORI MATRIKS DALAM TEORI GRAF Amir, Amir Kamal
MATEMATIKA Vol 13, No 2 (2010): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

In a simple graf G, two veritces u and v are called adjacent in G if {u,v} ia an edge of G. The adjacency matrix A of G is the n x n zero-one matrix with 1 as its (i,j)th entry when vi and vj are adjacent, and 0 as its (i,j)th entry when they are not  adjacent. In this paper will be described the characteristic of characteristic polynomial of a graph. Moreover, the relationship between the characteristic polynomial of a graph with characteristic polynomial of its subgraph will also be outlined. In addition, will also be described the shape of eigenvalues and eigenvectors of certain graph.
TEOREMAINTERPOLASI UNTUK LOGIKA PREDIKAT SUBSTRUKTUR DENGAN ATURAN MINGLE surarso, Bayu
MATEMATIKA Vol 13, No 2 (2010): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

It is known that the interpolation theorem for Full Lambek Substructural Logic and its standard extensions can be proved using proof-theoretical methods. In fact, they can be proved by a well known method called Maehara’s method, or its modifications. In the present paper, by proving the cut elimination theorem and then using a modification of  Maehara’s method, we prove the interpolation problem for logics obtaining from some standard extensions of Full Lambek Logic by adding rule called mingle.  
HIMPUNAN SEMI BUKA DALAM RUANG TOPOLOGI Djuwandi, Djuwandi
MATEMATIKA Vol 13, No 2 (2010): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

For study this paper we required about topological space, in particular the topology on the real numbers, while for assessing semi-open set are expected to know about an open set, closed set, closure (closure) set, interior sets, etc.
ON SOLUTIONS OF THE DISCRETE-TIME ALGEBRAIC RICCATI EQUATION Soleha, Soleha
MATEMATIKA Vol 13, No 2 (2010): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

. On solving the optimal control for the linear discrete-time system based on quadratic performance indexes will be obtained the hermitian solutions of discrete-time algebraic Riccati equation. The existence of that solution can be identified by an invariant subspace which has certain properties. In this paper we investigate some properties of discrete-time algebraic Riccati equation related to an invariant subspace as steps to identify them.
PENGARUH PEMILIHAN ARAH KETETANGGAAN PIKSEL DALAM PROSES WATERMARKING PADA METODE TRANSFORMASI INTEGER Wibawa, Helmie Arif Wibawa
MATEMATIKA Vol 13, No 2 (2010): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

.  Integer transformation as one of the reversible watermarking method can be used to embed the information into the image and be able to recover the original image. This method works on a single color layer by using properties of inter-pixel neighborhood. This paper discusses the influence of the direction selection of the neighborhood when assigning a pair of pixels to the number of saved bits, the maximum payload of quantity and quality of the watermarked image. The tested image is RGB color images. In the observations, the watermarking process performed on the two possible directions then analyze PSNR values of the watermarked image and quantity of data space to embed the information.  
TITIK TETAP NADLR FUNGSIMULTI NILAI KONTRAKTIF PADA RUANG METRIK Ï°(X) Rinurwati, Rinurwati
MATEMATIKA Vol 13, No 2 (2010): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

In this paper to be discussed about Nadlr fixed point of contractive multivalued function on. This results can be considered as a generalizations of Bollobus et al result complete metrice space X.

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