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INDONESIA
MATEMATIKA
Published by Universitas Diponegoro
ISSN : -     EISSN : -     DOI : -
Core Subject : Education,
Mathematics
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Articles 6 Documents
 1 
Search results for , issue "Vol 19, No 2 (2016): Jurnal Matematika" : 6 Documents clear
PENGENALAN POLA IRIS MATA MENGGUNAKAN METODE TEMPLATE MATCHING DENGAN LIBRARY OPENCV Afrizal, Sahid Nur; Sarwoko, Eko Adi
MATEMATIKA Vol 19, No 2 (2016): Jurnal Matematika
Publisher : MATEMATIKA

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Abstract

Biometrics is a technology that used on computer systems in the introduction of a person using a part of the human body. One part of the body that can be used in biometric systems are human iris, due to the nature of the iris of the eye that will not change and is unique among person with another person. One application of biometrics using human iris is on the smartphone. The system was built using OpenCV as the main library. Proposed recognition system was divided into two stages, there was iris recognition stage and iris matching stage. Recognition stage began with taking the image, and then do the pre-processing stage which consists of scaling operations to a smaller size and grayscaling, then proceed to the segmentation stage, using Canny edge detection method, circle Hough transform method for detecting circle of the iris and the pupil, and Daugman's rubber sheet models for normalization, then proceed to the feature extraction stage using Gabor Filter and Average Absolute Deviation. Matching phase was made using euclidean distance method to measure the similarity distance between two iris features. Tests carried out with 10 eye images, each of which 5 left and right eye images are derived from the research subjects. The results of this study concluded that the optimal threshold for this system was 475 with a percentage of 36% False Reject Rate, False Acceptance Rate 40%, 38% system error ratio, and the Genuine Acceptance Rate 64%.
SIFAT-SIFAT LANJUT NEUTROSOFIK MODUL ., Suryoto; Irawanto, Bambang; Puspita, Nikken Prima
MATEMATIKA Vol 19, No 2 (2016): Jurnal Matematika
Publisher : MATEMATIKA

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Abstract

Neutrosophic module over the ring with unity is an algebraic structure formed by a neutrosophic abelian group by providing actions scalar multiplication on the structure. The elementary properties of neutrosophic module have been looked at, that are intersection dan summand among neutrosophic submodules are neutrosophic submodule again, but it not true for union of neutrosophic submodules. In this article discussed the advanced properties of the neutrosophic module and the algebraic aspects respect to this structure, including neutrosophic quotient module and neutrosophic homomorphism module and can be shown that most of the properties of the classical module still true to the neutrosophic structure, especially with regard to the properties of neutrosophic homomorphism module and the fundamental theorem of neutrosophic homomorphism module.
ANALISA KESTABILAN MODEL MATEMATIKA UNTUK PENYEMBUHAN KANKER MENGGUNAKAN ONCOLYTIC VIROTHERAPY Novellina, Via; Utomo, Robertus Heri Soelistyo; ., Widowati
MATEMATIKA Vol 19, No 2 (2016): Jurnal Matematika
Publisher : MATEMATIKA

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Abstract

Oncolytic virotherapy is one type of cancer treatment using oncolytic virus. In this paper, we will present a mathematical model for treatment of cancer using  oncolytic virotherapy with the burst size of a virus (the number of new viruses released from lysis of an infected cell) and we considering the presence of syncytia which is a fusion between infected tumor cell and uninfected tumor cell. In this mathematical model we introduced the population of uninfected tumor cells which fusion in syncytia. So, in this model contains four population, which are, uninfected tumor cell population, infected tumor cell population, uninfected tumor cell population which fusion in syncytia, and free virus particles which are outside cells. Then, these models are analyzed to determine the stability of the equilibrium points. The stability of the equilibrium points criteria is based on basic reproduction number () and we show that there exist a disease free equilibrium point and a disease endemic equilibrium point. By the Routh-Hurwitz criterion of stability, we prove that the disease free equilibrium point is locally asymptotically stable if  and the disease endemic equilibrium point is locally asymptotically stable if . In this numerical simulations using software Maple we have, if  then the graphic of this mathematical model will reach the disease free equilibrium point, then virotherapy fails. While, if  then the graphic of this mathematical model will reach the disease endemic equilibrium point, then virotherapy success.
METODE KUMAR UNTUK MENYELESAIKAN PROGRAM LINIER FUZZY PENUH PADA MASALAH TRANSPORTASI FUZZY S., Mohammad Ervan; Irawanto, Bambang
MATEMATIKA Vol 19, No 2 (2016): Jurnal Matematika
Publisher : MATEMATIKA

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Abstract

In this paper, we discusses fully fuzzy linear programming in transportation problem. To find the fuzzy optimal solution of the problem with equality constraints, we use Kumar’s Method. The value of the fuzzy optimal solution obtained is used to find the optimal value of fuzzy objective function. Then do defuzzification to obtain crisp optimal solutions by using Ranking Function. To illustrate the Kumar’s Method, we give a example as iteration
PELABELAN AKAR RATA-RATA KUADRAT PADA GRAF LADDER〖 L〗_n DAN GRAF CORONA〖 P〗_n⨀K_2 Mubarok, Azhar; Ratnasari, Lucia; Djuwandi, Djuwandi
MATEMATIKA Vol 19, No 2 (2016): Jurnal Matematika
Publisher : MATEMATIKA

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Abstract

A graph G with p vertices and q edges. A Root Square Mean Labeling of graph  is an injective function from the set of vertices  to the set  with  edge is the number of side on the graph such that when each edges  is labeled by a function that defines as  ceilling function or floor function from root square mean  and , then the edge labels are distinct. For each of graphs that uses root square mean labeling is called as Root Square Mean graph. In this paper, the study is about root square mean labeling on Ladder graph, Corona graph . Then, we prove that  and  graph  are included as the root square mean graph. 
MODEL ECONOMIC ORDER QUANTITY (EOQ) DENGAN MEMPERTIMBANGKAN SEBAGIAN PENUNDAAN WAKTU PEMBAYARAN PADA SISTEM PARSIAL BACKORDER Maslahah, Heny; ., Sunarsih; ., Farikhin
MATEMATIKA Vol 19, No 2 (2016): Jurnal Matematika
Publisher : MATEMATIKA

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Abstract

The problem of inventories commonly facing the company is determining the optimal order quantities so the demand must be fulfilled. In transaction betwen seller and buyer specified delay of payment is offered by the seller, so given one of alternative the inventory model an Economic Order Quantity (EOQ) with consider partial delayed payment on the partial backordering system. In the inventory model, retailer allowed to make partial payment at the beginning of the period to supplier and the remaining amount can be paid at the end of the period has been determined. There are two condition of stockout are stockout on the condition of lost sales  and stockout on the condition of backorder . Based on the inventory model can determined when the period to make order and how many should be order, so the total cost of inventory issued to be minimum and total profit can be maximum. 

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