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Jurnal Matematika: MANTIK

mantik
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Published by Universitas Islam Negeri Sunan Ampel

ISSN : 25273159 EISSN : 25273167 DOI : 10.15642/mantik

Core Subject : Education,

Mathematics

Jurnal Matematika MANTIK is a mathematical journal published biannually by the Mathematics Department, Faculty of Science and Technology, UIN Sunan Ampel Surabaya. Journal includes research papers, literature studies, analysis, and problem-solving in Mathematics (Algebra, Analysis, Statistics, Computing and Applied).

Arjuna Subject : -

Articles 119 Documents

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Radius, Diameter, Multiplisitas Sikel, dan Dimensi Metrik Graf Komuting dari Grup Dihedral Abdussakir Abdussakir
Jurnal Matematika MANTIK Vol. 3 No. 1 (2017): Mathematics and Applied Mathematics
Publisher : Mathematics Department, Faculty of Science and Technology, UIN Sunan Ampel Surabaya

Commuting graph C(G) of a non-Abelian group G is a graph that contains all elements of G as its vertex set and two distinct vertices in C(G) will be adjacent if they are commute in G. In this paper we discuss commuting graph of dihedral group D2n. We show radius, diameter, cycle multiplicity, and metric dimension of this commuting graph in several theorems with their proof.

Aplikasi Metode Singular Spectral Analysis (SSA) dalam Peramalan Pertumbuhan Ekonomi Indonesia Tahun 2017 Rina Sri Kalsum Siregar; Dina Prariesa; Gumgum Darmawan
Jurnal Matematika MANTIK Vol. 3 No. 1 (2017): Mathematics and Applied Mathematics
Publisher : Mathematics Department, Faculty of Science and Technology, UIN Sunan Ampel Surabaya

The purpose of this study was to look at seasonal patterns in the data of Gross Domestic Product (GDP) quarterly in the year 2000-2016 and the implementation of Singular Spectral Analysis (SSA) in the data of GDP to predict the data of GDP in 2017. The SSA method used is the method of recurrent forecasting with bootstrap confidence interval to look at its beliefs of the interval. The source of data derived from the data of GDP in 2000-2016 with the base year in 2000 compiled by the Central Statistics Agency (CSA). The results showed that the SSA method can be used as a reliable method and can be valid that view from the value of MAPE size is 0.82 and the size of the tracking signal at -4.00.

Perbandingan Keakuratan Hasil Peramalan Produksi Bawang Merah Metode Holt-Winters dengan Singular Spectrum Analysis (SSA) Yogo Aryo Jatmiko; Rini Luciani Rahayu; Gumgum Darmawan
Jurnal Matematika MANTIK Vol. 3 No. 1 (2017): Mathematics and Applied Mathematics
Publisher : Mathematics Department, Faculty of Science and Technology, UIN Sunan Ampel Surabaya

The Holt-Winters method is used to model data with seasonal patterns, whether trends or not. There are two methods of forecasting in Singular Spectrum Analysis (SSA), namely recurrent method (R-forecasting) and vector method (V-forecasting). The recurrent method performs continuous continuation (with the help of LRF), whereas the vector method corresponds to the L-continuation. Different methods of course make a difference in the accuracy of forecast results. To see the difference between the three methods is done by looking at the comparison of accuracy and reliability of forecast results. To measure the accuracy of forecasting used Mean Absolute Percentage Error (MAPE) and to measure the reliability of forecasting results is done by tracking signal. Applications are done on Indonesian red onion production from January 2006 to December 2015. Forecasting of both methods in SSA uses window length L = 39 and grouping r = 8. With α = 0.1, β = 0.001 and γ = 0.5, Holt-Winters additive method gives better result with MAPE 13,469% than SSA method. Keywords:

Pemodelan Matematika Infiltrasi Air pada Saluran Irigasi Alur Muhammad Manaqib
Jurnal Matematika MANTIK Vol. 3 No. 1 (2017): Mathematics and Applied Mathematics
Publisher : Mathematics Department, Faculty of Science and Technology, UIN Sunan Ampel Surabaya

Water is one of the main necessity of agricultural activities, because without enough water agricultural crops will not be produced optimally. The way to insufficient water in agricultural crops is irrigation. One of the irrigation methods which is used on agriculture in the world is furrow irrigation method. Water gets into the soil from the bottom of the furrow and furrow’s wall towards the root zone of the plants. The complexity of the water infiltration process in the ground makes infiltration analysis by laboratory experiment difficult to do and needs substantial cost. The alternative way which can do is with mathematical modeling. This paper discusses about mathematical modeling of water infiltration in furrow irrigation channel trapezoidal in shape. This mathematical modeling is shaped boundary condition problem with a cross section of a closed and limited line of irrigation. Governing equation obtanined from Richard equation which then transformed using Kirchoff transformation and non dimensional variable into the modified Helmholtz equation. While, the boundary condition is shaped mixture Neuman and Robin boundary condition.

Pemodelan Status Usaha (Pengusaha dan Pekerja/Karyawan) Menggunakan Regresi Logistik Multilevel eko yulian
Jurnal Matematika MANTIK Vol. 3 No. 1 (2017): Mathematics and Applied Mathematics
Publisher : Mathematics Department, Faculty of Science and Technology, UIN Sunan Ampel Surabaya

The level of a country's economy is directly proportional to the number of entrepreneurs in the country. According to the World Bank standard number of entrepreneurs, the ideal of a country is at least 4% of the total population. Based on data from the Indonesian Young Entrepreneurs Association (HIPMI), the number of entrepreneurs in Indonesia is only about 1.5%. Of course not easy to achieve the ideal number of bank standards-based world that is 4%. This study aims to determine what factors are driving someone in determining a career as an entrepreneur or not (worker/employee). The data used is the Adult Population Survey (APS) in 2013 conducted by the Global Entrepreneurship Monitor (GEM). the survey conducted in 16 provinces, 51 districts/cities, and 176 subdistricts. Data generated hierarchical modeling that will be performed using multilevel logistic regression. The variables studied were the state variable effort (Y), variable knowent (X1), variable opport (X2), variable suskill (X3), variable fearfail (X4), the variable gender (X5) at level 1 and the variable sub-district at level 2. the analysis showed that the logistic regression model 2-level produce a better model than the ordinary logistic regression model. Based on modeling results we concluded that all predictor variables (knowent, opport, suskill, fearfail, gender, etc.) affect the status of one's business.

Ketunggalan Titik Tetap di Ruang Dislocated Quasi B-Metrik pada Pemetaan Siklik malahayati malahayati
Jurnal Matematika MANTIK Vol. 3 No. 1 (2017): Mathematics and Applied Mathematics
Publisher : Mathematics Department, Faculty of Science and Technology, UIN Sunan Ampel Surabaya

The quasi b-metric dislocated space (dqb-metric space) was first introduced by Klin-eam and Suanoom in 2015. They had been proven the uniqueness of the fixed point in the dqb-metric space on cyclic mapping that provides the cyclic Banach contraction conditions. Furthermore, in 2016 Dolicanin et al showed that the fixed point singularity properties in the dqb-metric space can be proven without requiring the mapping to satisfy the cyclic metrics Banach contraction conditions. Both statements are proved equivalent in this paper.

Penentuan Harga Opsi Asia dengan Metode Monte Carlo Surya Amami Pramuditya
Jurnal Matematika MANTIK Vol. 3 No. 1 (2017): Mathematics and Applied Mathematics
Publisher : Mathematics Department, Faculty of Science and Technology, UIN Sunan Ampel Surabaya

An option is a contract between a holder and a writer in which the writer grants the rights (not obligations) to the holder to buy or sell the assets of the writer at a certain price (strike price) at maturity time. Asian options are included in the dependent path option. This means that Asia's payoff option depends not only on the stock price at maturity time, but it is the average stock price during its maturity and symbolized A (average). Monte Carlo is basically used as a numerical procedure to estimate the expected value of pricing product derivatives. The techniques used are the standard Monte Carlo and variance reduction. The result obtained the Asia call option price and put for both techniques with 95% confidence interval. The variance reduction technique looks faster reducing 95% confidence interval than standard method.

Penerapan Aljabar Max-Plus pada Permasalahan Penjadwalan Angkutan Perdesaan di Jombang Nahlia Rakhmawati; Ririn Febriyanti
Jurnal Matematika MANTIK Vol. 3 No. 2 (2017): Mathematics and Applied Mathematics
Publisher : Mathematics Department, Faculty of Science and Technology, UIN Sunan Ampel Surabaya

The existence of ideal public transportation is still a dream of many cities in Indonesia, including the city of Jombang. The high consumption of Jombang people to motor vehicles, causing traffic jams in the school area. In this research, a directed graph from 3 rural transit routes to get the design of scheduling model using max-plus algebra. From the analysis results to the model obtained the period of departure of rural transport is 10 minutes once, with two initial departure time interval. Arranged departure schedules allow rural transport always at every meeting point during school hours.

Analisis Risk Asset Portfolio Berbasis Reward To Variability Pada Saham Syariah Di Indonesia Menggunakan Nonlinear Programming Noor Saif Muhammad Mussafi
Jurnal Matematika MANTIK Vol. 3 No. 2 (2017): Mathematics and Applied Mathematics
Publisher : Mathematics Department, Faculty of Science and Technology, UIN Sunan Ampel Surabaya

This research seeks to analyze the development of syariah stock optimization method using Nonlinear Programming in order to provide an optimal portfolio as a reference in improving the quality of syariah capital market in Indonesia. The research design used is descriptive qualitative by presenting a Shariah stock history data within a certain period that is analyzed and modeled for later sought solving. The data in this research is the stock price information syariah incorporated in the Jakarta Islamic Index (JII). Selected data with Reward to Variability (RVAL) were then analyzed using theories in financial mathematics and developed using quadratic programming. The result of this research is systematic step formulation to maximize profit level and minimize risk level of syariah share investment incorporated in JII in January 2015-December 2016 time domain. This research also concludes that by this method can be known the proportion of funds that can be invested in five best issuers. In the sample taken, for the expected profit level of 5.5% to 7.5%, then an investor is advised to embed its shares consecutively to AKRA, ICBP, PTPP, TLKM and WSKT on average of 29.74% ; 13.42%; 18.14%; 29.58%; And 9.1% with risk between 0.028301593% to 0.029386615%.

Ketercapaian dan Keterkontrolan Sistem Deskriptor Diskrit Linier Positif Yulia Retno Sari
Jurnal Matematika MANTIK Vol. 3 No. 2 (2017): Mathematics and Applied Mathematics
Publisher : Mathematics Department, Faculty of Science and Technology, UIN Sunan Ampel Surabaya

A positive discrete descriptor system has been widely used in modeling economics, engineering, chemistry and others. In this research, we studied the necessary conditions and sufficient conditions for a positive discrete descriptors system is achieved positive and controlled postively. In addition, it is also studied on sufficient terms and conditions which ensure that discrete systems are null controlled. By using linear algebraic method and Inverse Drazin, this research has proved several theorems for discrete descriptors system achieved positive, controlled positively and controlled null. In addition, examples are given as illustrations to reinforce the validity of the proven theorems.

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Editorial Address Mathematics Department, Faculty of Science and Technology UIN Sunan Ampel Surabaya Jl. A. Yani no 117 Surabaya, Jawa Timur, Indonesia

Location Kota surabaya, Jawa timur INDONESIA

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jurnalmantik@gmail.com

Editorial Address
Mathematics Department, Faculty of Science and Technology UIN Sunan Ampel Surabaya Jl. A. Yani no 117 Surabaya, Jawa Timur, Indonesia

Location
Kota surabaya,

Jawa timur

INDONESIA