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All Journal Journal of Mathematical and Fundamental Sciences Limits: Journal of Mathematics and Its Applications Journal of Fundamental Mathematics and Applications (JFMA) Indonesian Journal of Physics (IJP) International Journal of Computing Science and Applied Mathematics-IJCSAM

Yunus, Mahmud

Departemen Matematika, Institut Teknologi Sepuluh Nopember

Author-ID : 3417922

Astronomy Chemistry Computer Science & IT Decision Sciences, Operations Research & Management Earth & Planetary Sciences Electrical & Electronics Engineering Energy Engineering Mathematics Physics

Published : 12 Documents Claim Missing Document

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TRANSFORMASI MP-WAVELET TIPE B DAN APLIKASINYA PADA PEMAMPATAN CITRA Fahim, Kistosil; Yunus, Mahmud; Suharmadi, S
Limits: Journal of Mathematics and Its Applications Vol 13, No 1 (2016)
Publisher : Institut Teknologi Sepuluh Nopember

Sekarang ini banyak dikembangkan metode penyelesaian masalah secara komputasi. Pada penelitian ini dikonstruksi suatu transformasi wavelet menggunakan operator dalam aljabar max-plus yang disebut sebagai MP-Wavelet. Hasil konstruksi ini secara komputasi membutuhkan waktu yang lebih cepat daripada transformasi wavelet pada umumnya. Pada konstruksi ini dihasilkan satu tipe MP-Wavelet yang disebut dengan MP-Wavelet tipe B. MP-Wavelet tipa ini merupakan pengembangan dari penelitian Fahim yang dipublikasikan pada âSeminar Nasional Pendidikan Sains Tahun 2014â dan âKonferensi Nasional Matemtika 17â. Tipe B ini digunakan untuk pemampatan citra. Untuk melihat hasil rekonstruksi pada proses pemampatan citra âLenaâ. Dari simulasi pemampatan ini didapatkan bahwa MP-Wavelet tipe B ini menghasilkan rekonstruksi citra yang lebih baik daripada tipe I yang dikonstruksi oleh Nobuhara (2010); dan tipe I serta tipe A Fahim (2014).

Tight Wavelet Frame Decomposition and Its Application in Image Processing Mahmud Yunus; Hendra Gunawan
Journal of Mathematical and Fundamental Sciences Vol. 40 No. 2 (2008)
Publisher : Institute for Research and Community Services (LPPM) ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/itbj.sci.2008.40.2.5

This paper is devoted to the formulation of a decomposition algorithm using tight wavelet frames, in a multivariate setting. We provide an alternative method for decomposing multivariate functions without accomplishing any tensor product. Furthermore, we give explicit examples of its application in image processing, particularly in edge detection and image denoising. Based on our numerical experiment, we show that the edge detection and the image denoising methods exploiting tight wavelet frame decomposition give better results compare with the other methods provided by MATLAB Image Processing Toolbox and classical wavelet methods.

PEMETAAN KONTRAKTIF PADA RUANG b-METRIK CONE R BERNILAI R^2 Sunarsini Sunarsini; Mahmud Yunus; S Sadjidon; Auda Nuril Zazilah
Limits: Journal of Mathematics and Its Applications Vol 13, No 2 (2016)
Publisher : Institut Teknologi Sepuluh Nopember

Ruang b–metrik cone merupakan perluasan dari ruang b–metrik dan ruang metrik cone. Pada paper ini, diselidiki eksistensi dan sifat ketunggalan titik tetap pemetaan kontraktif pada ruang b–metrik cone yang lengkap. Selanjutnya, dikaji fungsi b-metrik pada ruang b-metrik cone dan dibuktikan beberapa teorema ekivalensi antara kedua ruang tersebut dengan disertai beberapa contoh terkait, khususnya ruang b-metrik cone bernilai

Syarat Perlu atau Cukup F-bounded di dalam Ruang Metrik-α Fuzzy Lukman Zicky; Mahmud Yunus
Limits: Journal of Mathematics and Its Applications Vol 19, No 1 (2022)
Publisher : Institut Teknologi Sepuluh Nopember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.12962/limits.v19i1.12327

Metrics have an important role in mathematics, both in analysis as well as applications. One of the new concepts of metric space is fuzzy -metric space. This metric space is an expansion of the fuzzy metric space by adding generator. In this paper, we discuss characterization of F-bounded in the fuzzy -metric space. The property of F-bounded is obtained from the compact subset of a given universe set. This characteristic has been discussed by Changqing and Kedian in Hausdorff fuzzy metric spaces. In this paper, the necessary and sufficient conditions are obtained so that the fuzzy -metric space satisfies the properties of F-bounded.

CONDITIONS ON UNIQUENESS OF LIMIT POINT AND COMPLETENESS IN CONE POLYGONAL METRIC SPACES Sie, Evan Setiawan; Mahmud Yunus
Journal of Fundamental Mathematics and Applications (JFMA) Vol 4, No 1 (2021)
Publisher : Diponegoro University

This paper discusses cone polygonal metric spaces. We analyze some characteristics derived from convergence and Cauchyness of sequences. Our result consists of some conditions on uniqueness of limit point and completeness in cone polygonal metric spaces.

The Constructions of Egg-Shaped Surface Equations using Hugelschaffer’s Egg-Shaped Curve Ahmat Rif’an Maulana; Mahmud Yunus; Dwi Ratna Sulistyaningrum
Indonesian Journal of Physics Vol 26 No 2 (2015): Vol. 26 No. 2, December 2015
Publisher : Institut Teknologi Bandung

Hugelschaffer’s egg-shaped curve is egg-shaped curve that is constructed by two non-concentric circles using Newton’s transformation known as hyperbolism. This study has goals to construct the egg-shaped surface equations using Hugelschafer’s egg-shaped curve that is rotated on x-axis, y-axis and z-axis; to get the volume formula of the egg-shaped solid and the egg-shaped surface area and also to visualize the egg-shaped surface equations using GeoGebra. Hugelschaffer’s egg-shaped curve is selected because its equation is simple. The procedures of the construction of the egg-shaped surface equations are done by drawing the curve on xy-plane and xz-plane, then it is rotated on axes of the coordinate. Whereas, the volume formula of the egg-shaped solid is gotten by using the disk method of the volume integral. The egg-shaped surface area is attained by using the integral of surface area. Visualisation of the egg-shaped surface equations are done by choosing vary of parameter values of the equations that aims to know the effect of the parameter values with the shaped surface.

Konvergensi Barisan dan Kelengkapan pada Ruang Metrik Parsial Rectangular Mohamad Ilham Dwi Firmansyah; Erna Apriliani; Mahmud Yunus
Limits: Journal of Mathematics and Its Applications Vol 20, No 1 (2023)
Publisher : Institut Teknologi Sepuluh Nopember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.12962/limits.v20i1.6376

The metric space is one of the objects studied in functional analysis. The metric space has undergone many developments, some eHamples of which are partial metric spaces and rectangular metric spaces. The difference between the metric space and the partial metric space can be seen in the distance of a point from itself. In the metric space, it is always equal to zero, while in the partial metric space it is not equal to zero. On the other hand, the difference between a metric space and a metric rectangular space can be seen in the inequalities used. In the metric space we use triangular inequalities, while in the metric rectangular space we use rectangular inequalities. Shukla in 2014 presents the development of another metric space called rectangular partial metric space, which combines the concept of partial metric space with rectangular metric space. This research we discusses the problem of the properties of the rectangular partial metric space, including convergence sequences, Cauchy sequences, and completeness of space in the rectangular partial metric space.

Mathematical Modeling of Pressure on Cylindrical Ellipse using Side by Site Configuration Chairul Imron; Mahmud Yunus
(IJCSAM) International Journal of Computing Science and Applied Mathematics Vol. 1 No. 1 (2015)
Publisher : LPPM Institut Teknologi Sepuluh Nopember

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The application of the concept of fluid is often used to solve problems in the daily life. One of them is the problem of fluid around an elliptical cylinder. This study aims to solve the problems of the fluid around two elliptical cylinder configuration with side-by-side using the Navier-Stokes equations. Navier-Stokes equations–incompressible, viscous and unsteady-are solved using finite difference method staggered grid and SIMPLE (Semi Implicit Method for Pressure-Linked Equation) algorithms. Finite difference method is used to complete the grid arrangement, whereas the SIMPLE algorithm is used to obtain components of velocity and pressure value. Results of this study are the pressure value based on fluid flow profile and a mathematical model which received an elliptical cylinder pressure. Profile of fluid flow is simulated by varying the Reynolds number of 100, 1000, 7000, and 10000 as well as variations in the distance between the cylinder with a ratio of 2 <= S/a <= 6 where L is the distance between the cylinder and a is the minor axis of the cylinder ellipse. Then the pressure is calculated based on the value of the received cylinder pressure components. After obtaining the pressure value, then we create a mathematical model of the stresses imposed on the elliptical cylinder.

Construction of Convergent Sequence in Cone 2-Normed Spaces Sadjidon Sadjidon; Mahmud Yunus; Sunarsini Sunarsini
(IJCSAM) International Journal of Computing Science and Applied Mathematics Vol. 1 No. 1 (2015)
Publisher : LPPM Institut Teknologi Sepuluh Nopember

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We introduce an idea of convergent sequence in a cone 2-normed space. We show that the convergence in 2-normed spaces using the definition of 2-norm by considering its dual space. Then we construct the convergence in cone 2-normed space, particularly for l2-space.

Stability Analysis On Models Of Spreading H1N1 And H5N1 Virus In Two Locations Silviana Maya P; Hariyanto Hariyanto; Mahmud Yunus
(IJCSAM) International Journal of Computing Science and Applied Mathematics Vol. 2 No. 2 (2016)
Publisher : LPPM Institut Teknologi Sepuluh Nopember

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The dynamics of population mobility are occurring in a population. This phenomena can expand the area of the spread of a virus. Allowing the occurrence of a pandemic of a coalition between the H5N1-p virus and H5N1. In this paper, we analyze the stability of the model of the spread of H1N1 and H5N1-p. Based on the basic reproduction number R0, which is then simulated using the Matlab software, we conclude that when R0 < 1 the system is stable, whereas when R0 > 1 the system is unstable.

Co-Authors Adam Adam Ahmat Rif’an Maulana Annisa Rahmita Soemarsono Auda Nuril Zazilah Chairul Imron, Chairul Dwi Ratna Sulistyaningrum Erna Apriliani Fahim, Kistosil Gusti Yuni Shinta Lestari Gusti Yuni Shinta Lestari Hariyanto Hariyanto Hariyanto Hariyanto Hendra Gunawan Laksono Trisnantoro Lukman Hanafi Lukman Zicky Mohamad Ilham Dwi Firmansyah Sadjidon Sadjidon Sadjidon Sadjidon Sie, Evan Setiawan Silviana Maya P Sunarsini Sunarsini

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