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Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP)
Published by Universitas Jenderal Soedirman
ISSN : 20851456     EISSN : 25500422     DOI : -
Core Subject : Education,
Mathematics
JMP is a an open access journal which publishes research articles, reviews, case studies, guest edited thematic issues and short communications/letters in all areas of mathematics, applied mathematics, applied commutative algebra and algebraic geometry, mathematical biology, physics and engineering, theoretical bioinformatics, experimental mathematics, theoretical computer science, numerical computation and applications of systems, partial differential and differential equations, integral and integral differential equations and mathematical modeling.
Arjuna Subject : Matematika - Matematika (Lain-Lain)
Articles 44 Documents
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Search results for , issue "Vol 4 No 1 (2012): Jurnal Ilmiah Matematika dan Pendidikan Matematika" : 44 Documents clear
KETAKSAMAAN HERMITE-HADAMARD TERHADAP INTEGRAL RIEMANN-STIELTJES Denny Ivanal Hakim; Hendra Gunawan
Jurnal Ilmiah Matematika dan Pendidikan Matematika Vol 4 No 1 (2012): Jurnal Ilmiah Matematika dan Pendidikan Matematika
Publisher : Jurusan Matematika FMIPA Universitas Jenderal Soedirman

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20884/1.jmp.2012.4.1.2942

Abstract

The Hermite-Hadamard inequality is an inequality for convex functions that gives an estimate for the integral mean value of a convex function on a closed interval by its value at the middle of interval and the average of its values at the endpoints. The Hermite-Hadamard inequality can be generalized by using the Riemann-Stieltjes integral mean value. An application of the Hermite-Hadamard inequality with respect to Riemann-Stieltjes integral for estimating the power mean of positive real numbers by the aritmethic mean is given at the end of discussion.
FUZZY C-MEANS CLUSTERING UNTUK PENGELOMPOKAN BAHAN MAKANAN BERDASARKAN KANDUNGAN ZAT GIZI Meysi Budiyanti; Mutia Nur Estri
Jurnal Ilmiah Matematika dan Pendidikan Matematika Vol 4 No 1 (2012): Jurnal Ilmiah Matematika dan Pendidikan Matematika
Publisher : Jurusan Matematika FMIPA Universitas Jenderal Soedirman

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20884/1.jmp.2012.4.1.2958

Abstract

Fuzzy C-Means Clustering (FCM) is a data clustering technique where each data point belongs to a cluster by membership degree. FCM starts with the concept of cluster centers that mark the mean location of each cluster. By iteratively updating the cluster centers and the membership degree for each data point, then the cluster centers move to the right location. FCM can be applied to group the nutrients of foods based on three functions of nutrients which are food as energy provider, body functions regulator and growth developer. Each nutrients are grouped into three cluster. The information of food group can used as reference or recomendation for someone who
KAJIAN PEMODELAN DERET WAKTU NONLINIER THRESHOLD AUTOREGRESSIVE (TAR) Puji Noviandari; Renny Renny
Jurnal Ilmiah Matematika dan Pendidikan Matematika Vol 4 No 1 (2012): Jurnal Ilmiah Matematika dan Pendidikan Matematika
Publisher : Jurusan Matematika FMIPA Universitas Jenderal Soedirman

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20884/1.jmp.2012.4.1.2947

Abstract

Nonlinear time series are time series that are not stable due to a sudden jump. Nonlinear time series often found in financial data. Threshold Autoregressive (TAR) modeling is a time series modeling with a segmented autoregressive (AR)’s model such that among different regimes may have different AR model. This research studied how to obtain the Ordinary Least Square (OLS) estimator for TAR model and examine signification the OLS’s estimator by using t test. This research also studied the other stages of TAR modeling, which are nonlinearity test using Tsay test, TAR model identification by using arranged AR approach and Akaike’s Information Criterion (AIC), and diagnostic test by examining the white noise properties and normality test on the residuals. As an illustration, the TAR modeling was applied on weekly data of rupiah exchange rate against US dollar for period October 4th 2004 to November 7th 2011. The result show that the best TAR model for the data is TAR with threshold value .
REPRESENTASI FUNGSIONAL-2 DI l^p Yosafat Eka Prasetya Pangalela; Hendra Gunawan
Jurnal Ilmiah Matematika dan Pendidikan Matematika Vol 4 No 1 (2012): Jurnal Ilmiah Matematika dan Pendidikan Matematika
Publisher : Jurusan Matematika FMIPA Universitas Jenderal Soedirman

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20884/1.jmp.2012.4.1.2938

Abstract

In this paper, the concept of 2-functionals will be introduced. The concept of bounded linear 2-functionals will be studied as an extension. We also discuss the 2-dual space of , which is the space of bounded linear 2-functionals of completed by some norm.
ESTIMASI PARAMETER PADA MODEL COX MULTIVARIAT DENGAN METODE MAXIMUM PARTIAL LIKELIHOOD ESTIMATION Irfan Wahyudi; Purhadi Purhadi; Sutikno Sutikno; Irhamah Irhamah
Jurnal Ilmiah Matematika dan Pendidikan Matematika Vol 4 No 1 (2012): Jurnal Ilmiah Matematika dan Pendidikan Matematika
Publisher : Jurusan Matematika FMIPA Universitas Jenderal Soedirman

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20884/1.jmp.2012.4.1.2954

Abstract

Multivariate Cox proportional hazard models have ratio property, that is the ratio of hazard functions for two individuals with covariate vectors z1 and z2 are constant (time independent). In this study we talk about estimation of prameters on multivariate Cox model by using Maximum Partial Likelihood Estimation (MPLE) method. To determine the appropriate estimators that maximize the ln-partial likelihood function, after a score vector and a Hessian matrix are found, numerical iteration methods are applied. In this case, we use a Newton Raphson method. This numerical method is used since the solutions of the equation system of the score vector after setting it equal to zero vector are not closed form. Considering the studies about multivariate Cox model are limited, including the parameter estimation methods, but the methods are urgently needed by some fields of study related such as economics, engineering and medical sciences. For this reasons, the goal of this study is designed to develop parameter estimation methods from univariate to multivariate cases.
TEOREMA TITIK TETAP PADA RUANG NORM-n STANDAR Shelvi Ekariani; Hendra Gunawan
Jurnal Ilmiah Matematika dan Pendidikan Matematika Vol 4 No 1 (2012): Jurnal Ilmiah Matematika dan Pendidikan Matematika
Publisher : Jurusan Matematika FMIPA Universitas Jenderal Soedirman

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20884/1.jmp.2012.4.1.2943

Abstract

On the standard n-normed space,i.e an inner product space equipped with the standard n-norm, one can derive a norm from the n-norm in a certain way. The purpose of this note is to establish the equivalence between such a norm and the usual norm on standard n-normed space. Further, this fact together with others use to prove a fixed point theorem on the standard n-normed space.
HUBUNGAN ANTARA NILAI KRITIS DERIVATIF- F^\alpha DENGAN DIMENSI-\gamma DARI SUATU KURVA Supriyadi Wibowo
Jurnal Ilmiah Matematika dan Pendidikan Matematika Vol 4 No 1 (2012): Jurnal Ilmiah Matematika dan Pendidikan Matematika
Publisher : Jurusan Matematika FMIPA Universitas Jenderal Soedirman

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20884/1.jmp.2012.4.1.2959

Abstract

Continue function that defined on fractal set is a function which has irregular structure, that can not be an ordinary differentiable on F. In this paper will be explored the correlation between critical point of the derivatif with dimension- of a curve. By using the properties of the derivative , Holder’s continue function in rank of and dimension , has been obtained the correlation between critical value of derivative and the dimension of a curve.
KAJIAN PEMODELAN DERET WAKTU: METODE VARIASI KALENDER YANG DIPENGARUHI OLEH EFEK VARIASI LIBURAN Winda Triyani; Rina Reorita
Jurnal Ilmiah Matematika dan Pendidikan Matematika Vol 4 No 1 (2012): Jurnal Ilmiah Matematika dan Pendidikan Matematika
Publisher : Jurusan Matematika FMIPA Universitas Jenderal Soedirman

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20884/1.jmp.2012.4.1.2948

Abstract

Calendar variation method is a technique that combines ARIMA modeling and regression modeling. Calendar variation is a cyclical pattern with varying periods due to the different calendar date position for each year. There are two types of calendar variation, trading day variation and holiday variation. In this research, modeling of time series with holiday variation was studied and modification of the modeling was developed for the case of holiday effect due to Eid’s day occur. The case study was conducted to the data of train passenger number at DAOP V Purwokerto. It was found that the last model for the underlying data was the regression model with the residual following seasonal ARIMA (1,1,1)(0,0,1)12 without constant parameter.
On A Generalized Köthe-Toeplitz Duals Sumardyono Sumardyono; Supama Supama; Soeparna Darmawijaya
Jurnal Ilmiah Matematika dan Pendidikan Matematika Vol 4 No 1 (2012): Jurnal Ilmiah Matematika dan Pendidikan Matematika
Publisher : Jurusan Matematika FMIPA Universitas Jenderal Soedirman

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20884/1.jmp.2012.4.1.2939

Abstract

In this paper, we generalized the notion of Kothe-Toeplitz duals of sequence space on introducing the concept sequence of sequences. Some properties of the generalized dual are obtained.
EKSPERIMENTASI PEMBELAJARAN MATEMATIKA DENGAN PENDEKATAN CONTEXTUAL TEACHING AND LEARNING (CTL) DITINJAU DARI KEMAMPUAN AWAL SISWA KELAS VII SMP NEGERI KABUPATEN SUKOHARJO Lukman Harun
Jurnal Ilmiah Matematika dan Pendidikan Matematika Vol 4 No 1 (2012): Jurnal Ilmiah Matematika dan Pendidikan Matematika
Publisher : Jurusan Matematika FMIPA Universitas Jenderal Soedirman

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20884/1.jmp.2012.4.1.2955

Abstract

Tujuan penelitian untuk mengetahui: (1) apakah pembelajaran CTL lebih baik daripada ekspositori, (2) apakah siswa memiliki kemampuan awal tinggi mempunyai prestasi belajar matematika lebih baik daripada sedang dan rendah, (3) apakah perbedaan pembelajaran CTL dan ekspositori tergantung kepada kemampuan awal. Penelitian ini adalah penelitian eksperimen semu. Populasi penelitian adalah siswa kelas VII SMP Negeri Sukoharjo Tahun Pelajaran 2009/2010. Teknik analisis datanya menggunakan analisis variansi dua jalan 2 x 3 dengan sel tak sama dengan taraf signifikansi 5%. Pengujian prasyarat analisis dilakukan dengan metode Lilliefors untuk uji normalitas dan metode Bartlett untuk uji homogenitas. Dari hasil analisis disimpulkan: (1) CTL menghasilkan prestasi belajar matematika lebih baik dibandingkan ekspositori pada materi segi empat, (2) Prestasi belajar matematika siswa kemampuan awal tinggi lebih baik daripada siswa yang sedang dan rendah serta prestasi belajar matematika siswa kemampuan awal sedang lebih baik daripada siswa yang rendah pada materi segi empat, (3.a) Siswa kemampuan awal tinggi dan rendah mempunyai prestasi yang lebih baik pada pembelajaran dengan CTL (3.b) Pada pembelajaran dengan CTL maupun ekspositori, siswa kemampuan awal tinggi mempunyai prestasi belajar matematika lebih baik dibandingkan siswa sedang dan rendah, siswa dengan kemampuan awal sedang lebih baik dibandingkan siswa yang rendah.

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