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Journal : Jurnal Matematika

MODEL MATEMATIKA UNTUK MENDETEKSI DIABETES MELLITUS TIPE Debora C Sihombing; Kartono Kartono
Jurnal Matematika Vol 3, No 4 (2014): JURNAL MATEMATIKA
Publisher : MATEMATIKA FSM, UNDIP

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Abstract

  Diabetes Mellitusis a disease causedby a deficiency ofthe insulin hormone,, resulted concentrationina person's bloodsugaris highbecausesugarin the bloodcan not be usedby the body. Detection ofdiabetesmellituscan be constructedin the form ofmathematicalmodelstoform adifferentialequation. The equations ofthe differential model is asystem ofnonlineardifferentialequationswithtwovariables. The modeltakesthe form ofsystematicnonlinearlinearization. LinearizationperformedbyTaylor seriesapproach. Toillustratethe modelsimulationby givingthe values ofthe calibrationparameters areprocessedby thesolvertools and obtainedtoindicatethe patient'snaturalperiodwithin thenormalglucoseislessthan4hours.Keywords: diabetesmellitus, oscillations, solvertools, linearsystem. 
ANALISIS KEPADATAN LALU LINTAS DI PERLIMAAN JALAN (STUDI KASUS DI JALAN SOEKARNO HATTA-TLOGOSARI-SUPRIYADI-MEDOHO) Ignatia Yolanda Yolanda; Kartono Kartono
Jurnal Matematika Vol 3, No 4 (2014): JURNAL MATEMATIKA
Publisher : MATEMATIKA FSM, UNDIP

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Abstract

Pengaturan traffic light di persimpangan jalan diperlukan untuk mengatur kelancaran arus lalu lintas, namun faktanya sering terjadi penumpukan pengguna jalan pada suatu ruas jalan tertentu. Sebagai contoh kondisi arus di persimpangan Jalan Soekarno Hatta-Tlogosari-Supriyadi-Medoho, Kota Semarang sering terjadi penumpukan. Hal ini disebabkan oleh masalah pengaturan waktu tunggu di persimpangan itu, sehingga skripsi ini mengkaji pengaturan waktu tunggu di persimpangan tersebut. Menurut pengamatan salah satu penyebab terjadinya penumpukan tersebut dimungkinkan oleh pengaturan waktu nyala trafficlight. Oleh karena itu, skripsi ini mengkaji perhitungan waktu tunggu dengan mengaplikasikan konsep graf kompatibel. Penerapan konsep graf kompatibel ini untuk melakukan simulasi perekayasaan arus lalu lintas dan hasilnya diperoleh waktu tunggu minimal.
ANALISIS KEPADATAN ARUS LALU LINTAS BERDASARKAN PERSAMAAN LIGHTHILL-WHITHAM-RICHARDS (LWR) (Studi Kasus di Ruas Jalan Raya Krapyak, Semarang) M.Saifudin Zuhri; kartono kartono
Jurnal Matematika Vol 2, No 1 (2013): JURNAL MATEMATIKA
Publisher : MATEMATIKA FSM, UNDIP

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Abstract

This final paper on mathematical modeling to analyze the traffic on the roadway Krapyak, Semarang equation using Lighthill, Whitham and Richards (LWR), which describes the movement of the traffic flow, the model can be applied to the LWR equation congestion or overcrowding situations more specifically to the junction with one or two roads in and out. The results of dynamics analysis to explain higher density the vehicle speed decreases. The main variables are used to explain the flow of vehicles on a path of motion is flow , velocity , and the density. This problem is analyzed through an implicit scheme and double sweep Cholesky method for determining the density during peak hours. Based on the results of analysis, the highest density occurring on highways Krapyak occurred at 07.00 - 08.00.
PENGUJIAN FRACTAL MARKET HYPOTHESIS (FMH) PADA DINAMIKA RETURN HARIAN NILAI TUKAR DOLLAR AMERIKA SERIKAT (USD) TERHADAP YEN JEPANG (JPY) Florenta Florenta; Kartono kartono
Jurnal Matematika Vol 3, No 4 (2014): JURNAL MATEMATIKA
Publisher : MATEMATIKA FSM, UNDIP

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Abstract

The concept of Fractal Market Hypothesis (FMH) gives aneconomic and mathematical structure in analyzing the forex market. Fractal has characteristics that are not random, but has a pattern. Fractal experienced recurrence patterns or structures with different scales and sizes, therefore it can show a trend that will occur in the next period.Exchange rate fluctuations cause the trader will have a hard time taking a position of ‘sell’ or ‘buy’. Technical Analysis is the right choice for traders in determining the time to transact. It consists of candlestick analysis in determining the pattern, gradient analysis to determine the level of steepness of exchange rate fluctuations, Rescaled Range analysis (R / S) and the value of Hurst exponent (H) to see characteristics of the return movement, measuring the level of risk (α), measuring the degree of correlation (C) and the fractal dimension (D). In order to complete the final project, the authors do an internship at PT. Futures Monex Investindo Yogyakarta with the data of the exchange rate of United States Dollar (USD) to Japanese Yen (JPY) in the period of January 1, 2005 until December 31, 2013.Based on the results, it can be concluded that the movement of the daily price return of the United States Dollar exchange rate (USD) to Japanese Yen (JPY) result in a system series that is anti-persistent, which means that the series which was up in the previous period, is likely to fall in the next period.