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Quaternionic Version of Rotation Groups Latief Rahmawati; Muhammad Ardhi Khalif; Muhammad Farchani Rosyid
Journal of Natural Sciences and Mathematics Research Vol 1, No 1 (2015): June
Publisher : Faculty of Science and Technology, Universitas Islam Negeri Walisongo Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (72.184 KB) | DOI: 10.21580/jnsmr.2015.1.1.479

Abstract

Quaternionic version of rotation group SO(3) has been constructed. We constructa quatenionic version of rotation operation that act to a quaternionic version of aspace coordinate vector. The computation are done for every rotation about eachcoordinate axes (x,y, and z). The rotated quaternionic space coordinate vector con-tain some unknown constants which determine the quaternionic rotation operator.By solving for that constants, we get the expression of the quaternionics versionof the rotation operator. Finally the generators of th
Fermion mass formulation in the Modified Left-Right Symmetry Model Nurul Embun Isnawati; Istikomah Istikomah; Muhammad Ardhi Khalif
Journal of Natural Sciences and Mathematics Research Vol 8, No 2 (2022): December
Publisher : Faculty of Science and Technology, Universitas Islam Negeri Walisongo Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21580/jnsmr.2022.8.2.13633

Abstract

The Modified Left Right Symmetry Model is an extension of the Standard Model. This model introduces left-handed neutrinos to the right sector and a doublet scalar field to the left sector. This model cannot yet explain the mass generation of fermions and neutrinos. This study is theoretical research using the literature review method. Generating the masses of fermions (quark up-down) and electrons through spontaneous symmetry breaking in Yukawa's Lagrangian term produces a particle mass in the left sector, the same as the calculations in the Standard Model. The masses of fermions (up-down quarks) and electrons for the right sector produced in this study are much more massive than those of fermions (up-down quarks) and the left sector. The neutrino masses produced in this study are by following the Seesaw Mechanism. That is, if one neutrino mass is massive, then the other neutrino masses will be light.©2022 JNSMR UIN Walisongo. All rights reserved.
Complete purely algebraic proof of the homomorphism between SU(2) and SO(3) without concerning their topological properties Muhammad Ardhi Khalif; Nur Farida Amalia
Journal of Natural Sciences and Mathematics Research Vol 8, No 2 (2022): December
Publisher : Faculty of Science and Technology, Universitas Islam Negeri Walisongo Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21580/jnsmr.2022.8.2.17519

Abstract

The aim of this paper is to provide a complete purely algebraic proof of homo-morphism between SU (2) and SO(3) without concerning the topology of bothgroups. The proof is started by introducing a map ϕ : SU (2) → M L(3, C) de-fined as [ϕ(U )] i j ≡ 12 tr(σ i U σ j U † ). Firstly we proof that the map ϕ satisfies[ϕ(U 1 U 2 )] i j = [ϕ(U 1 )] i k [ϕ(U 2 )] k j , for every U 1 , U 2 ∈ SU (2). The next step is toshow that the collection of ϕ(U ) is having orthogonal property and every ϕ(U ) hasdeterminant of 1. After that, we proof that ϕ(I 2 ) = I 3 . Finally, to make sure thatϕ is indeed a homomorphism, not an isomorphism, we proof that ϕ(−U ) = ϕ(U ),∀U ∈ SU (2).
Enhancing Physics Learning in Sekolah Indonesia Kuala Lumpur (SIKL) by Utilizing Artificial Intelligence Khalif, Muhammad Ardhi; Saputri, Affa Ardhi; Juwanda, Kuntoro Adi; Sudarmanto, Agus; Fatimatuzzahro, Voni
Dimas: Jurnal Pemikiran Agama untuk Pemberdayaan Vol 24, No 1 (2024)
Publisher : LP2M of Institute for Research and Community Services - UIN Walisongo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21580/dms.2024.241.19315

Abstract

The surge in digital learning technology, particularly Artificial Intelligence (AI), has reshaped education. This community service initiative at Sekolah Indonesia Kuala Lumpur in Malaysia targets AI training to innovate physics education. The multifaceted approach encompasses preparation, implementation, and evaluation stages, employing methods like Focus Group Discussions, training sessions, and mentoring. AI plays a pivotal role in assisting students with assignments, analyzing physics problems, and creating presentation media for school tasks, utilizing applications such as Canva+ChatGPT and Google Slides+ChatGPT. Training outcomes at Sekolah Indonesia Kuala Lumpur showcase participants' proficiency in AI-driven presentation media, achieving an impressive average score of 84.67. Among 27 participants, only one fell short of the 75-point passing criteria. To maximize AI's role in physics learning, ongoing implementation and support are crucial in subsequent activities.
Enhancing Physics Learning in Sekolah Indonesia Kuala Lumpur (SIKL) by Utilizing Artificial Intelligence Khalif, Muhammad Ardhi; Saputri, Affa Ardhi; Juwanda, Kuntoro Adi; Sudarmanto, Agus; Fatimatuzzahro, Voni
Dimas: Jurnal Pemikiran Agama untuk Pemberdayaan Vol. 24 No. 1 (2024)
Publisher : LP2M of Institute for Research and Community Services - UIN Walisongo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21580/dms.2024.241.19315

Abstract

The surge in digital learning technology, particularly Artificial Intelligence (AI), has reshaped education. This community service initiative at Sekolah Indonesia Kuala Lumpur in Malaysia targets AI training to innovate physics education. The multifaceted approach encompasses preparation, implementation, and evaluation stages, employing methods like Focus Group Discussions, training sessions, and mentoring. AI plays a pivotal role in assisting students with assignments, analyzing physics problems, and creating presentation media for school tasks, utilizing applications such as Canva+ChatGPT and Google Slides+ChatGPT. Training outcomes at Sekolah Indonesia Kuala Lumpur showcase participants' proficiency in AI-driven presentation media, achieving an impressive average score of 84.67. Among 27 participants, only one fell short of the 75-point passing criteria. To maximize AI's role in physics learning, ongoing implementation and support are crucial in subsequent activities.
Smart Library Service Based on Quick Response Code on Smartphone Anwar, Edi Daenuri; Khalif, Muhammad Ardhi; Maulana, Andika Rifki; Rohim, Ahmad Minanur
Jurnal Penelitian Pendidikan IPA Vol 11 No 7 (2025): July
Publisher : Postgraduate, University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/jppipa.v11i7.10860

Abstract

This study aims to develop a QR Code-based Smart Library software as a valid library service so that it can be used optimally in supporting library collection search and management activities. This Smart Library development research uses the Research and Development (R&D) method with the Unified Modeling Language (UML) development approach. The stages of this research include problem identification, data collection, system design, program creation, and testing stages. At the creation stage, the QR Code was developed using Quick Response Code Maker which was then integrated into the digital library system. The main software in the development of this Smart Library was built using Android Studio. Supporting facilities owned by Smart Library include the ability to display book collection metadata, display a list of collections based on the shelf number searched, and provide access to e-books from the library collection. This system also allows users to scan QR Codes directly via smartphones to get detailed information about available books. The results of the system test show that all application activities and performance run well and are in accordance with their functional needs. This QR Code-based Smart Library application program can produce output as expected and has fulfilled the basic functions of a smart library-based library service. Therefore, this QR Code-based Smart Library software development system is declared valid and suitable for use as an efficient library service solution.