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All Journal Journal of Mathematical and Fundamental Sciences 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
Astronomy Chemistry Computer Science & IT Decision Sciences, Operations Research & Management Earth & Planetary Sciences Electrical & Electronics Engineering Energy Engineering Mathematics Physics

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 1 
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

Abstract

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.
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

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1627.506 KB) | DOI: 10.14710/jfma.v4i1.10653

Abstract

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

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1408.681 KB) | DOI: 10.5614/itb.ijp.2015.26.2.2

Abstract

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.
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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Abstract

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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Abstract

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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Abstract

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.
Persistence Analysis on Pre-coalition Models of H1N1-p with H5N1 virus in L 2 Space Hariyanto Hariyanto; Mahmud Yunus; Gusti Yuni Shinta Lestari
(IJCSAM) International Journal of Computing Science and Applied Mathematics Vol. 2 No. 2 (2016)
Publisher : LPPM Institut Teknologi Sepuluh Nopember

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Abstract

Influenza virus, H1N1-p and H5N1, are dangerous viruses. Medium of virus transmissions is the interaction or contact between individuals. The virus transmission to other individuals is easy. This happens due to a new strain that occurs as a result of pre-coalition between the two viruses. That phenomena is formulated in the form of a pre-coalition model of the virus. From the original pre-coalition model, a reduction process is done such that the models can be analyzed easily. Furthermore, the reduced pre-coalition model will be analyzed (i.e. existence and uniqueness of solutions), so that the system of equations is said to be well-posed. Persistence analysis result shows that in an unstable condition, H1N1-p influenza virus is “strongly uniformly persistence” over the system under the assumption that the H5N1 influenza virus is in a steady state. A similar result is also true for the H5N1 influenza virus. The H5N1 virus is more pathogenic than the H1N1-P-p. This is indicated by the value of epsilon0 in H5N1 virus is smaller than in H1N1-p virus, where epsilon0 shows the distance of interactions between individuals.
Construction of Cone 2-Norm Associated with S-Cone Inner Product Sadjidon Sadjidon; Mahmud Yunus; Sunarsini Sunarsini; Lukman Hanafi
(IJCSAM) International Journal of Computing Science and Applied Mathematics Vol. 9 No. 2 (2023)
Publisher : LPPM Institut Teknologi Sepuluh Nopember

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Abstract

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