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INDONESIA
MATEMATIKA
Published by Universitas Diponegoro
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Mathematics
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Articles 300 Documents
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DESAIN KONTROL VIBRASI SEMI AKTIF REAKSI FIXED POINT MENGGUNAKAN PENGONTROL H Sutrisno, Sutrisno; widowati, widowati
MATEMATIKA Vol 12, No 1 (2009): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

The semi active fixed point reaction type of Structure Vibration Control Design contain of mass, spring, dashpot, sensor and controller. The controller in this system designed using H∞ method. Case study of Hard Disk Protection System make to analysis the performance of close loop system and appeal with the performance of open loop system viewed from output of simulation using MATLAB with step function and impulse function as input.
MENENTUKAN POLINOMIAL MINIMAL ATAS GF p A, Nunung; Irawanto, Bambang
MATEMATIKA Vol 11, No 2 (2008): Jurnal Matematika
Publisher : MATEMATIKA

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Abstract

Let  is finite field with  elements, denoted by . If  be an extension field of   and  is the algebra element of , then , polynomial of  of smallest degree such that  called minimal polynomial of . If  is primitive element, then  whose called primitive polynomial, is the minimal polynomial of  whose generate the elements of .The minimal polynomial of  whose generate the elements of  is the factor of , because the elements of  are the solution of . So, if   and  are known we have . If we factoring it, will be obtained , the minimal polynomial of  whose generate the elements of , where  is some irreducible factor in  of degree  that contain a primitive element.  
KONTROL OPTIMAL PREY DAN PREDATOR MODEL RANTAI MAKANAN ROSENZWEIG-MACARTHUR TIGA SPESIES Cahyono, budi
MATEMATIKA Vol 14, No 1 (2011): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

The development of knowledge study about ecosistem grows fast in this last decade, one of the study is a model of food chain that include prey-predator. Rosenzweig-MacArthur’s food chain model  is one of the model that develop in the study about  prey and predator’s correlation  which at first include two species only. To approach the real situation, Rosenzweig-MacArthur added one new variable (super-predator) on super-predator model so that it became three species food chain model. Population density  function of prey-predator in the food chain model was influenced by time function and control profile to search optimal control function from model can be gained through the information that construct Rosenzweig-MagArthur food chain model. By optimal control principal, prey population and super-predator will be controlled through the prey carrying capacity (k) and death rate (mortality) of super-predator (d3) to minimize variation agreed for the model of Rosenzweig-MacArthur three species. It was expected that from optimal control function which has been obtained, the three species will not extinct
MODEL DINAMIKA PENYEBARAN DBD DENGAN MENERAPKAN TIGA STRATEGI PENGENDALIANNYA ., Kartono; Djuwandi, Djuwandi; ., Farikhin
MATEMATIKA Vol 17, No 1 (2014): Jurnal Matematika
Publisher : MATEMATIKA

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Abstract

The information of the dynamic of dengue fever is needed to build the model of its controlling strategy. Therefore, this research is aimed to develop a mathematical model such that the effectiveness of several controlling strategy for example 3M campaign, treatment to the infected people, andthe applying ofinsecticide can be evaluated. This mathematical model is constructed by classifying the human population into three class that are Suspectible (S), Infected (I) and Removed (R) while the vector population (aedes aegypti mosquito) is assumed belongs to the Infected (I) class. The effectiveness of the controlling strategy is analyzed using maximum Pontryagin principle. The result of this analysis shows that the 3M campaign affects the size of the suspect population.
PENGENALAN CITRA WAJAH MANUSIA DENGAN MENGGUNAKAN METODE EIGENFACE supiyanto, Supiyanto; suparwati, Titik
MATEMATIKA Vol 12, No 2 (2009): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

Face applicable to identify the somebody identity for security. Intention of this research is study the face recognition by using eigenface method and make the application program which can be used to recognize the face in so many expression, position as well as face experienced of the trouble  effect  existence of noise. In Eigenface method, decoding is done by calculating eigenvector then represented in a large matrix. Eigenvector is also declared as facial characteristics, therefore why this method is called with Eigenface. Face input which at this application is in the form of face image of the size and same resolution. Output Application is in the form of class closest from face which wish recognized. This application made with the program delphi 7 which enough rely on and easy to in calculation mathematic. Result of examination of face recognition by using approach eigenface to used sampel, program can recognize the face truly with the efficacy 88,2%.  
TEOREMA KEKONVERGENAN FUNGSI TERINTEGRAL RIEMANN . Farikhin, Farikhin
MATEMATIKA Vol 7, No 3 (2004): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

Teorema kekonvergenan merupakan bagian yang penting dalam mempelajari  teori  integral. Limit fungsi barisan fungsi yang terintegral Riemann pada suatu interval belum tentu fungsi tersebut juga terintegral Riemann pada interval itu. Dengan demikian diperlukan syarat lain agar limit fungsi juga terintegral Riemann. Tulisan ini bertujuan membahas syarat cukup agar limit fungsi dari barisan fungsi yang konvergenan di mana-mana juga terintegral Riemann. Selanjutnya, dibahas juga syarat cukup agar limit fungsi dari barisan fungsi yang konvergen hampir di mana-mana juga terintegral Riemann.  
SYARAT PERLU DAN CUKUP INTEGRAL HENSTOCK-BOCHNER DAN INTEGRAL HENSTOCK-DUNFORD PADA [a,b] Solikhin, Solikhin; Hariyanto, Susilo; Sumanto, Y.D; Aziz, Abdul
MATEMATIKA Vol 20, No 1 (2017): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

In this paper we study Henstock-Bochner and Henstock-Dunford integral on [a,b]. We discuss some properties of  the integrable. For every function which Henstock-Bochner integrable then it is Hentsock-Dunford integrable. The contrary is not true. Further more, let for any  and collection  is Henstock-equi-integrable. We will show that function   is Henstock-Bochner  integrable on   if only if  it is Henstock-Dunford integrable on .
DEFORMASI INTERAKSI DUA PAKET GELOMBANG DARI PERSAMAAN IMPROVED KdV (IKdV Sutimin, Sutimin
MATEMATIKA Vol 9, No 1 (2006): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

Here, We will study the nonlinear two waves packet interaction. The two waves packet is modeled by Improved Koreteweg de-Vries (IKdV) equation. The primary amplitudes are modulated by two-soliton of the nonlinear Schrődinger (NLS) equation. In this paper, we analyzed the interaction patterns of the two waves packet at the peak interaction. We have shown here, that during under going to the interaction region, the deformation of amplitudes profile will be occurred. The large deformation is characterized by the ratio of the amplitudes parameter and the wave numbers of each wave packets. The symmetry interaction also can be analyzed by the characterization of the parameters.
PERANCANGAN ARSITEKTUR PEMARALELAN UNTUK MENCARI SHORTEST PATH DENGAN ALGORITMA DIJKSTRA sarwoko, Eko Adi
MATEMATIKA Vol 6, No 3 (2003): Jurnal Matematika
Publisher : MATEMATIKA

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Abstract

Perancangan arsitektur pemaralelan merupakan salah satu tahap penting dalam komputasi paralel. Tahap ini bertujuan agar kompleksitas komputasi dan komunikasi dapat efisien. Tulisan ini merupakan kajian perancangan arsitektur pemaralelan mencari Shortest Path dengan Algoritma Dijkstra. Rancangan ini ditinjau berdasarkan aspek analisis algoritma baik kompleksitas komputasi maupun  komunikasi.
EFEK FUNGSI RCC DALAM AUTENTIKASI CITRA BERWARNA BERBASIS TRANSFORMASI INTEGER Wibawa, Helmi Arif
MATEMATIKA Vol 13, No 3 (2010): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

One method that can be used to authenticate the image is an integer transformation method. This method works on a single layer of color, so for the authentication process on a color image having more than one color layer, then the RCC function can be used to reduce existing color layer. For some cases, RCC function turns out to give a negative effect on the image authentication process and the quality of the image. This article discusses about the effect of the use of RCC functions in the process of image authentication. Testing is done by comparing the results between processes that use RCC functions and processes that do not use it. The parameters used are the values ​​saved bits, storage capacity, PSNR values ​​and ability to perform the authentication process  

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