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All Journal Jurnal Kajian Matematika dan Aplikasinya International Journal of Electrical, Computer, and Biomedical Engineering (IJECBE)
Nainggolan, Sahat Pandapotan
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Computer Science & IT Electrical & Electronics Engineering Materials Science & Nanotechnology Mathematics Medicine & Pharmacology

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LINEAR ALGEBRA APPLICATIONS TO DETECT THE EXISTENCE OF PLAGIARISM AND IN SEARCH ENGINE METHODOLOGY Nainggolan, Sahat Pandapotan; Solikhin, Mukhammad; Anwar, Andi Muhammad; Rizki, Nanda Arista
Jurnal Kajian Matematika dan Aplikasinya (JKMA) Vol 4, No 1 (2023): JANUARY
Publisher : UNIVERSITAS NEGERI MALANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.17977/um055v4i12023p1-5

Abstract

The theory of algebra is highly beneficial and used in daily life. Identifying plagiarism is one of many activities that can be solved with the concept of linear algebra. Even today, plagiarism is still a crucial issue to discuss, preferably in academic scope, both in assignment papers and academic theses. Identifying plagiarism aims to provide a document as a vector. Even the basic concept of linear algebra can be applied in plagiarism detection applications. This paper proposed a modeling example of plagiarism checking on a document with a matrix representation and the calculation of angles among subspaces of each compared document. Finally, the results can be used as one of the considerations to determine the similarity index.Keywords: plagiarism, linear algebra, vector, matrix representation
Development of a 1550 nm LiDAR System Using Galvanometer and i-ToF Method for Distance Measurement and 2D Object Reconstruction Hutagalung, Febrian Winston; Purnamaningsih, Retno Wigajatri; Nainggolan, Sahat Pandapotan; Rofianingrum, Mefina Yulias; Hapiddin, Asep; Hanto, Dwi
International Journal of Electrical, Computer, and Biomedical Engineering Vol. 3 No. 3 (2025)
Publisher : Universitas Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62146/ijecbe.v3i3.129

Abstract

LiDAR (Light Detection and Ranging) is a high-precision distance measurement technology based on laser light reflection. This study develops a galvanometer-based LiDAR system utilizing the indirect Time of Flight (i-ToF) method with 100 MHz sinusoidal modulation and a 1550 nm eye-safe laser diode. The system is designed to measure distance and identify the shape of 2D objects. The system was tested through phase difference measurements, galvanometer response, and flat-surface mapping at distances of 25 cm and 35 cm. The measurement results demonstrate high linearity and stability up to a maximum range of 1.5 meters, in accordance with the 360° phase difference (∆φ) limitation. The measurements of object dimensions in the form of an aluminum foil-covered plate at distances of 25 cm (1.76 cm × 2.63 cm) and 35 cm (2.45 cm × 3.66 cm) indicate that increasing the distance between the object and the system results in a wider coverage area but with reduced spatial resolution. At a distance of 25 cm, the light beam shifts by 0.436 cm/1°∆φ, whereas at 35 cm it shifts by 0.611 cm/1°∆φ. Furthermore, the limited active area of the photodetector was identified as the main factor restricting the detection coverage. This research opens opportunities for further development, particularly in optimizing galvanometer angle adjustments and enhancing the photodetector’s active area to expand coverage and improve measurement accuracy under various operating conditions.
Co-Authors Anwar, Andi Muhammad Dwi Hanto Hapiddin, Asep Hutagalung, Febrian Winston Mefina Yulias Rofianingrum Mukhammad Solikhin Nanda Arista Rizki Retno Wigajatri Purnamaningsih