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All Journal Indonesian Journal of Electrical Engineering and Computer Science Interval: Indonesian Journal of Mathematical Education
Arrazaki, Mohammed
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Education Mathematics

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Thinking Process of Mathematics Education Students in Problem Solving Proof Yohanie, Dian Devita; Botchway, Gloria A.; Nkhwalume, Alakanani Alex; Arrazaki, Mohammed
Interval: Indonesian Journal of Mathematical Education Vol. 1 No. 1 (2023): June
Publisher : Cahaya Ilmu Cendekia Publisher

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37251/ijome.v1i1.611

Abstract

This type of research is quantitative research. This study used document analysis, interviews and evidence problem solving task instruments. Qualitative data analysis was carried out interactively. The results of this study are the thinking processes of 2nd semester Mathematics Education students who have high learning achievements. Solving the problem of proof in a direct way, contraposition, and contradiction in the entry phase of the thought process activity obtained is the same, that is, the subject understands the problem by writing down the antecedents as what is known and the consequent as what must be proven. The thinking process of 2nd semester Mathematics Education students who have moderate learning achievements. Solving the problem of proof in a direct way, contraposition, and contradiction in the entry phase of the thought process activity obtained is the same, that is, the subject understands the problem by writing down the antecedents as what is known and the consequence as what must be proven. The thinking process of 2nd semester Mathematics Education students who have low learning achievements. Solving the problem of proof in a direct way, contraposition, and contradiction in the entering phase of the thinking process activity obtained is the same, that is, the subject understands the problem by writing down the antecedents as what is known and the consequent as what must be proven
Enhancing BEMD decomposition using adaptive support size for CSRBF functions Arrazaki, Mohammed; El Ouahabi, Othman; Zohry, Mohamed; Babbah, Adel
Indonesian Journal of Electrical Engineering and Computer Science Vol 38, No 1: April 2025
Publisher : Institute of Advanced Engineering and Science

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.11591/ijeecs.v38.i1.pp172-181

Abstract

Despite their widespread development, the Fourier transform and wavelet transform are still unsuitable for analyzing non-stationary and non-linear signals. To address this limitation, bidimensional empirical mode decomposition (BEMD) has emerged as a promising technique. BEMD effectively extracts structures at various scales and frequencies but faces significant computational complexity, primarily during the extremum interpolation phase. To mitigate this, different interpolation functions were presented and suggested, with BEMD using compactly supported radial basis functions (BEMD-CSRBF) showing promising results in reducing computational cost while maintaining decomposition quality. However, the choice of support size for CSRBF functions significantly impacts the quality of BEMD. This article presents an enhancement to the BEMD-CSRBF algorithm by adjusting the CSRBF support size based on the extrema distribution of the image. Our method’s results show a significant improvement in the BEMD-CSRBF algorithm’s quality. Furthermore, when compared to the other two approaches to BEMD, it shows higher accuracy in terms of both intrinsic mode function (IMF) quality and computational efficiency.
Co-Authors Babbah, Adel Botchway, Gloria A. Dian Devita Yohanie Yohanie El Ouahabi, Othman Nkhwalume, Alakanani Alex Zohry, Mohamed