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Journal of Mathematical and Fundamental Sciences
Published by Institut Teknologi Bandung
ISSN : 23375760     EISSN : 23385510     DOI : https://doi.org/10.5614/j.math.fund.sci.
Core Subject : Science, Education,
Astronomy Chemistry Earth & Planetary Sciences Mathematics Physics
Journal of Mathematical and Fundamental Sciences welcomes full research articles in the area of Mathematics and Natural Sciences from the following subject areas: Astronomy, Chemistry, Earth Sciences (Geodesy, Geology, Geophysics, Oceanography, Meteorology), Life Sciences (Agriculture, Biochemistry, Biology, Health, Medical, Pharmacy), Mathematics, Physics, and Statistics.
Arjuna Subject : Matematika - Matematika (Lain-Lain)
Articles 5 Documents
 1 
Search results for , issue "Vol. 38 No. 1 (2006)" : 5 Documents clear
Pemodelan Hubungan Hujan, Limpasan dan Kapasitas Erosi pada Suatu DAS yang Masuk ke Palung Sungai Hang Tuah Salim; M. Syahril Badri Kusuma; Nazili Nazili
Journal of Mathematical and Fundamental Sciences Vol. 38 No. 1 (2006)
Publisher : Institute for Research and Community Services (LPPM) ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/itbj.sci.2006.38.1.4

Abstract

This paper present the results of the mathematical model study on the relation between rain fall pattern, surface run off flows and land erodibility of a catchment area and river sedimentation. The influences of catchment area characteristics such as land use, soil behavior, topography condition and other related physical condition is encountered. Surface flow assessment is done at each sub catchment area by using mathematical model named ANSWER. Case study on Cipeles Catchmen area had shown that land use and rain fall pattern are the main parameter. Good agreement between model result and observation is shown on surface run off flow and sediment pattern, but there is still significant inaccuracy in its magnitude. This inaccuracy could be minimized not only by improving the model but also using a better data calibration, such as highly correlated rain fall and river discharge data with catchment area land use condition.
The Effective Equation of Motion on the Brane World Gravity F. P. Zen; B. E. Gunara; H. Zainuddin
Journal of Mathematical and Fundamental Sciences Vol. 38 No. 1 (2006)
Publisher : Institute for Research and Community Services (LPPM) ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/itbj.sci.2006.38.1.1

Abstract

Randall-Sundrum single brane system (RS II) is investigated systematically, with an emphasis of the effective equation of motion on the brane, by using a low energy expansion method (gradient expansion method) in the bulk. Through the junction condition, we deduce in the zeroth order fine tuning for RS model. The modified Einstein equation, as well as Friedmann equation with dark energy radiation on the brane is derived from the first order expansion. We also clarify the emergence of the AdS/CFT correspondence for the case of the higher order expansion in a low energy iteration scheme.
Studi Komparatif Sistem Kendali Bising Aktif Umpan Maju Menggunakan Filter Adaptif Berbasis LMS Bambang Riyanto; Irma Husnaini
Journal of Mathematical and Fundamental Sciences Vol. 38 No. 1 (2006)
Publisher : Institute for Research and Community Services (LPPM) ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/itbj.sci.2006.38.1.2

Abstract

In this paper, we discuss simulation and experimental study of the application of Least Mean Square (LMS) based adaptive filter algorithm in active noise control. A number of adaptive filter algorithm based on LMS are investigated, namely Preconditioned Least Mean Square (PLMS), Filtered-reference LMS (FxLMS) and two variants of Filtered-error LMS (FeLMS) algorithms. Active noise control simulation for attenuating recorded blower noise is performed. In case of active noise control experiment, a disturbance is generated by adding three sinus waves with different amplitudes and phases using digital signal processor TMS320C6701, and passing them through primary path. Comparison of the four algorithms is carried out by measuring the performance (in terms of resulting attenuation level) and speed of convergence. Simulation and experiment results demonstrate that PLMS provides the best performance and speed of convergence.
Analisis Sandi Diferensial terhadap AES, DES dan AE1 Yusuf Kurniawan; Adang Suwandi Ahmad; M. Sukrisno Mardiyanto; Iping Supriana; Sarwono Sutikno
Journal of Mathematical and Fundamental Sciences Vol. 38 No. 1 (2006)
Publisher : Institute for Research and Community Services (LPPM) ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/itbj.sci.2006.38.1.5

Abstract

Since 1977, DES officially became America encryption algorithm. And then this algorithm spreads over the world to be used in banking, financial industries, and economics. Because of the short of the key, in 2001, DES is replaced by AES. One of the most important problem in cryptology is how to prove the security of algorithm against cryptanalysis. In this paper, we will discuss differential attack to examine the security of DES, AES and AE1. AE1 is block cipher that we proposed. Although differential attack has been proposed since 1990, all of cryptographers in the world still use it to examine the strength of ciphers till now. Our contribution is providing a proof that AE1 can be resistant to differential attack and that our cipher is more secure than DES and AES against differential attack. Unfortunately, our cipher is slower than DES or AES.
Transmission Coefficient of an Electron through a Heterostructure with Nanometer-Thick Trapezoidal Barrier Grown on an Anisotropic Material Lilik Hasanah; Fatimah A. Noor; Khairurrijal Khairurrijal; Mikrajuddin Abdullah; Toto Winata; Sukirno Sukirno
Journal of Mathematical and Fundamental Sciences Vol. 38 No. 1 (2006)
Publisher : Institute for Research and Community Services (LPPM) ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/itbj.sci.2006.38.1.3

Abstract

Transmission coefficient of an electron incident on a heterostructure potential with nanometer-thick trapezoidal barrier grown on anisotropic materials are derived by solving the effective-mass equation including off-diagonal effective-mass tensor elements. The boundary condition for an electron wave function (under the effective-mass approximation) at a heterostructure anisotropic junction is suggested and included in the calculation. The analytic expressions are applied to the Si(110)/Si0.5Ge0.5/Si(110) heterostructure, in which the SiGe barrier thickness is several nanometers. It is assumed that the direction of propagation of the electrons makes an arbitrary angle with respect to the interfaces of the heterostructure and the effective mass of the electron is position dependent. The transmission coefficient is calculated for energy below the barrier height, varying the applied voltage to the barrier. The transmission coefficient depends on the valley where the electron belongs and it is not symmetric with respect to the incidence angle.

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