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All Journal Engagement: Jurnal Pengabdian Kepada Masyarakat Bilangan: Jurnal Ilmiah Matematika, Kebumian dan Angkasa
Cayo, Putri Nilam
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Religion Arts Humanities Astronomy Education Mathematics Social Sciences

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Uncertainty Principle for the Hartley Transform: Direct and Fourier–Based Approaches Nur, Andi Tenri Ajeng; Khotimah, Husnul; Cayo, Putri Nilam
Bilangan : Jurnal Ilmiah Matematika, Kebumian dan Angkasa Vol. 3 No. 6 (2025): Desember : Bilangan : Jurnal Ilmiah Matematika, Kebumian dan Angkasa
Publisher : Asosiasi Riset Ilmu Matematika dan Sains Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62383/bilangan.v3i6.849

Abstract

The Hartley transform provides a real-valued alternative to the classical Fourier transform, offering structural advantages for the analysis of real-valued signals. This paper presents a systematic study of the continuous Hartley transform, including its definition, inversion formula, Plancherel identity, and core operational properties such as shifting, modulation, and convolution. The analytical framework is developed in parallel with the classical Fourier theory to highlight structural similarities and distinctions between the two transforms. Furthermore, we establish a Hartley-type Heisenberg uncertainty principle using two complementary approaches: a direct method based on intrinsic properties of the Hartley kernel, and a Fourier-based method that exploits the algebraic relationship between the Hartley and Fourier transforms. These results provide a unified and rigorous foundation for understanding uncertainty relations within real-valued transform frameworks, and they demonstrate the continued relevance of the Hartley transform in harmonic analysis, integral transforms, and modern signal processing.
The Facilitated Support for Strengthening Statistical Literacy among Fishermen in Burai Village within the Context of Local Fishing Culture Cahyawati, Dian; Susanti, Eka; Gunarto, Muji; Cayo, Putri Nilam; Khotimah, Husnul; Ajeng Nur, Andi Tenri
Engagement: Jurnal Pengabdian Kepada Masyarakat Vol. 10 No. 2 (2026): May 2026
Publisher : Asosiasi Dosen Pengembang Masyarajat (ADPEMAS) Forum Komunikasi Dosen Peneliti

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29062/engagement.v10i2.2277

Abstract

Background: Burai Village is a riverside fishing community with not high enough levels of formal education and limited use of data in daily decision making. Fishermen typically rely on intuition when planning fishing activities, managing income, and interpreting river conditions. Purpose of the Study: This community service program addressed the need to strengthen statistical literacy as a foundation for data-driven decision making. The program aimed to improve fishermen’s ability to record, organize, and interpret catch data, while increasing awareness of the value of information and simple technology in supporting economic decisions. Methods: A community-based mentoring model was applied, consisting of dialogue sessions, participatory workshops, and hands-on training in data recording. A culturally contextual learning approach linked statistical concepts with local fishing practices. Results: The results demonstrated a measurable improvement in participants’ statistical understanding. The mean score increased from 65 (SD = 21.21) in the pretest to 75 (SD = 10.00) in the posttest, indicating both improved performance and more consistent comprehension among participants. Participants also showed improved ability to interpret tables and graphs and increased interest in using simple digital tools for data documentation.
Co-Authors Ajeng Nur, Andi Tenri Dian Cahyawati Eka Susanti Husnul Khotimah Muji Gunarto Nur, Andi Tenri Ajeng