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INDONESIA
MATEMATIKA
Published by Universitas Diponegoro
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Articles 6 Documents
Search results for , issue "Vol 8, No 1 (2005): JURNAL MATEMATIKA" : 6 Documents clear
REDUKSI MASALAH CAUCHY ABSTRAK DEGENERATE KE MASALAH CAUCHY ABSTRAK NONDEGENERATE Haryanto, Susilo
MATEMATIKA Vol 8, No 1 (2005): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

In this article, we investigate how to reduce an abstract degenerate Cauchy problem to an abstract nondegenerate Cauchy problems. This problem is discussed in the Hilbert space which can be writen as an orthogonal direct sum of Ker M and . Under certain assumptions, abstract degenerate Cauchy problems can be reduced to abstract nondegenerate Cauchy problems which is easier to solve. If we have a solution of abstract nondegenerate Cauchy problem, then using certain transformation we can find the solution of abstract degenerate Cauchy problems.  
APLIKASI PRINSIP KURVA TUTUP Maspupu, John
MATEMATIKA Vol 8, No 1 (2005): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

In this paper we study the use of the closed graph principle applied to direct sum closed subspace of a Banach Space. We will first discuss the concept of a closed graph described in  the form of theorem or principle. The properties of closed linear mapping  related to the concept of a closed graph will also be explained in detail in the  form of two lemmas. In order to prove the  closed graph principle we utiliize an  open mapping principle. The objective of this study is to show that each  direct sum of a closed subspace will exactly resulted one linear mapping that has  a property of bounded projection. Our results show that a uniqueness of bounded projection on Banach Space can always be obtained from direct sum of two closed subspace. Furthermore, open mapping can be generated  from  premise of a closed graph having certain  conditions
KETAHANAN WATERMARKING TERHADAP SERANGAN KOMPRESI JPEG Sugiharto, Aris; Wibawa, Helmie Arif
MATEMATIKA Vol 8, No 1 (2005): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

Watermarking is one of the methods that proposed to protected digital data from illegally copy.  A lot of technic to destroy watermarking that inserted to digital data, one of them are JPEG compression. In this research will be focus as far JPEG compression can influence watermarking integrated especially at similarity test before and after digital data have JPEG compression attact.  
OPTIMASI KETEBALAN INSULATOR PADA JARINGAN PIPA GEOTHERMAL Isnani, Isnani
MATEMATIKA Vol 8, No 1 (2005): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

Geothermal is one of cheap and huge energy resaources in Indonesia. Geothermal power supply generated by thermal steam, where is transmitted through geothermal pape line was usually built near  a geothermal source. To minimize heat losses pipe surface is patched by insulator. Furthermore to decide insulator thickness for optimum result, the mathematical model is applied. The insulator optimum thicknes  (5,733575488) is obtained the cost needed is $1488,373278
PERAMALAN VOLATILITAS INDEKS HARGA SAHAM MENGGUNAKAN MODEL ASIMETRIK GARCH (GENERALIZED AUTOREGRESSIVE CONDITIONAL HETEROSCEDASTICITY) DENGAN DISTRIBUSI SKEWED STUDENT-t Wahyuni, Susi Tri; Iriawan, Nur; AW, Dwi Atmono
MATEMATIKA Vol 8, No 1 (2005): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

The condition of Indonesian economic in the last fiew years fluctuatics following  konjungtur cycle. Besides in economic problem, non economic problem such as social and politic are also influence that fluctuation. It means, the instability had influenced of stock exchange practition in analyzing and predicting return. Financial data, such as stock exchange price indices often has heteroscedasticity. One of modeling technique to analyze the condition is using GARCH models. Unfortunately, GARCH models often do not fully capture the thick  tails property of high frequency financial time series. To cope this weakness, we’ll an Asymmetric GARCH model will be used. Using Box-Jenkins methods, the Composite Price Indices have mean model ARIMA (10 17 69,1,0). With the same data we can having  GARCH (2,1) model.  The Asymmetric GARCH (AGARCH) model in this research was not properly  proper to model the Composite Price Indices Volatility.
PENILAIAN EFISIENSI BANK UMUM SWASTA NASIONAL DEVISA DAN BANK ASING DENGAN MENGGUNAKAN DATA ENVELOPMENT ANALYSIS (DEA) Sulistiyo, Sulistiyo; Sumitro, Sumitro
MATEMATIKA Vol 8, No 1 (2005): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

Banking Industry the improvement of Indonesia cause increasing of competition level between bank, so the appraisal of bank’s efficiency becomes more important, because the efficiency is the describes the performance of the company work. The method used to measure bank efficiency in this paper is Data Envelopment Analysis (DEA), a technic linear programming that calculating output ratio to input of each DMU. DMU is called efficient if the efficiency value is one, if the value is less than one it means DMU not efficient. DEA is also ready to give solution for other banks on sample which was not efficient to be more efficient. Bank’s efficiency which is valuated in this paper are national commercial banks in Indonesia and foreign banks. The determination of input and output of bank based on bank behavior theory was using intermediation approach. The used optimization method in this paper to increase bank efficiency  of inefficiency bank is optimization of input oriented method.

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