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All Journal Jurnal Riset Matematika Journal Social Civilecial
Ilham, Fajar
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Environmental Science Law, Crime, Criminology & Criminal Justice Mathematics Social Sciences

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The Impact of Social Media on Interpersonal Relationships in the Digital Era Reza, Ahmad; Ilham, Fajar; Murdiono, Wahyu
Journal Social Civilecial Vol. 2 No. 2 (2024): Journal Social Civilecial
Publisher : Journal Social Civilecial

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.71435/610494

Abstract

The subject of this research is how social media affects individuals’ close relationships with other people, with an emphasis on digital jealousy, social comparison, issues of misunderstanding between loved ones and companions, companionship, tips and tricks to minimize negative effects, etc. Because content sharing in social media and other digital platforms is part of daily life now, they strongly influence the emotional and behavioral outcomes. This research establishes the link between digital jealousy and purchase behavior to explain how social comparison on social media can create the motivation for material acquisitions as people seek to replicate what they see on social media platforms. In addition, the research explores the implications of how lack of body language in digital communication results in misunderstanding and aggression to online and offline relationships. The results speak clearly of the need for being alert with what one posts and defines the need to set up social media guidelines in order to maintain positive interactions. Telling to the views of participants, free communication and strict selection of received information by means of social networks help to minimize psychological consequences of digital jealousy and to strengthen healthy relations. As such, this research endeavors to further the current body of knowledge by focusing on specific practices which may be employed to effectively address emotional and relational risks associated with social media while gaining a better appreciation of its impact on one’s well-being and behaviors. The work presents a systematic map of the nature of interactions that people have on digital platforms and how the process should be done deliberately.
Analisis Superposisi Gelombang Menggunakan Transformasi Fourier Diskrit Ilham, Fajar; Ramdani, Yani; Gunawan, Gani
Jurnal Riset Matematika Volume 5, No.2, Desember 2025, Jurnal Riset Matematika (JRM)
Publisher : UPT Publikasi Ilmiah Unisba

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29313/jrm.v5i2.8342

Abstract

Abstract. This study examines the use of the Discrete Fourier Transform (DFT) in analyzing wave superposition phenomena through a spectral approach. By utilizing the DFT, complex signals resulting from the overlap of periodic and non-periodic waves are decomposed into their constituent frequency components. The transformation process from the time domain to the frequency domain allows the extraction of critical parameters such as amplitude, dominant frequency, and phase shift for each individual wave. This analysis emphasizes the ability of the DFT to map the signal energy distribution and identify patterns of interfrequency interactions that are not observed in the time domain. Through numerical simulations, the accuracy of the signal reconstruction based on spectral components is evaluated by considering factors such as frequency resolution and aliasing effects. The verification results indicate that the DFT provides a reliable framework for understanding the dynamics of wave superposition, especially in the context of real time. Abstrak. Penelitian ini mengkaji pemanfaatan Transformasi Fourier Diskrit (DFT) dalam menganalisis fenomena superposisi gelombang melalui pendekatan spektral. Dengan memanfaatkan DFT, sinyal kompleks yang dihasilkan dari tumpang tindih gelombang periodik maupun non-periodik didekomposisi ke dalam komponen frekuensi penyusunnya. Proses transformasi dari ranah waktu ke ranah frekuensi memungkinkan ekstraksi parameter kritis seperti amplitudo, frekuensi dominan, dan pergeseran fase untuk setiap gelombang individu. Analisis ini menekankan kemampuan DFT dalam memetakan distribusi energi sinyal serta mengidentifikasi pola interaksi antarfrekuensi yang tidak teramati dalam domain waktu. Melalui simulasi numerik, ketepatan rekonstruksi sinyal berbasis komponen spektral dievaluasi dengan mempertimbangkan faktor seperti resolusi frekuensi dan efek aliasing. Hasil verifikasi menunjukkan bahwa DFT memberikan kerangka kerja yang andal untuk memahami dinamika superposisi gelombang, terutama dalam konteks pemrosesan sinyal real time.
Co-Authors Gani Gunawan Murdiono, Wahyu Reza, Ahmad Yani Ramdani