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All Journal Journal of the Indonesian Mathematical Society BAREKENG: Jurnal Ilmu Matematika dan Terapan EIGEN MATHEMATICS JOURNAL Jurnal Pengabdian Inovasi Masyarakat Indonesia Sinergi dan Harmoni Masyarakat MIPA
Putra, Lalu Riski Wirendra
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Agriculture, Biological Sciences & Forestry Humanities Chemistry Computer Science & IT Control & Systems Engineering Economics, Econometrics & Finance Education Energy Engineering Mathematics Mechanical Engineering Physics Social Sciences Transportation Other

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The Extended Metric Space on Max-Plus Algebra Putra, Lalu Riski Wirendra; Aini, Qurratul; Alfian, Muhammad Rijal
Eigen Mathematics Journal Vol 8 No 1 (2025): June
Publisher : University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/emj.v8i1.254

Abstract

Max-Plus Algebra is the newly emerged mathematical object as one of the algebraic structures. Max Plus Algebra is a semi-ring with the maximum operation as its addition and the plus operation as its multiplication. In 2012, Carl et.al. established a novel notion about metric in max-plus geometry which is the semi-module over the semi-ring with maximum and addition biner operations. The writer researched to discover the distance function or metric, especially for the extended real-valued metric of Max-Plus Algebra and its properties with maximum and addition biner operations. By using both direct and indirect proof methods, the distance function of Max Plus Algebra and its topological properties were obtained.
On Sombor Energy of the Nilpotent Graph of the Ring of Integers Modulo ε Putra, Lalu Riski Wirendra; Albaracin, Jimboy R.; Wardhana, I Gede Adhitya Wisnu
Journal of the Indonesian Mathematical Society Vol. 31 No. 3 (2025): SEPTEMBER
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.v31i3.1856

Abstract

In chemical graph theory, chemical compounds are represented as graphs where atoms are represented as vertices, and the bonds connecting the atoms are represented as edges. In 2021, Gowtham and Swamy discovered another type of graph energy, called the Sombor energy. This discovery was motivated by Gutman's introduction of the Sombor index in the same year. In the field of abstract algebra, rings can also be represented as graphs. In this article, we aim to explore the Sombor energy of some nilpotent graphs of rings, particularly the ring of integers modulo ε.
THE POWER GRAPH REPRESENTATION FOR INTEGER MODULO GROUP WITH POWER PRIME ORDER Putra, Lalu Riski Wirendra; Awanis, Zata Yumni; Salwa, Salwa; Aini, Qurratul; Wardhana, I Gede Adhitya Wisnu
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 17 No 3 (2023): BAREKENG: Journal of Mathematics and Its Applications
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/barekengvol17iss3pp1393-1400

Abstract

There are many applications of graphs in various fields. Starting from chemical problems, such as the molecular shape of a compound to internet network problems, we can also use graphs to depict the abstract concept of a mathematical structure.. Groups in Algebra can be represented as a graph. This is interesting because Groups are abstract objects in mathematics. The graph of a group shows the physical form of the group by looking at the relationship between its elements. So, we can know the distance of the elements. In 2013, Abawajy et al. conducted studies related to power graphs. Power graph representation of groups of integers modulo with the order of prime numbers has been carried out in 2022 by Syechah, et al. In this article, the author provides the properties of a power graph on a group of integers modulo with the order of powers of prime numbers.
Sosialisasi Penulisan Artikel Ilmiah untuk Pengganti Skripsi pada Mahasiswa Universitas Mataram Gayatri, Marena Rahayu; Ghoffari, Lalu Hasan; Husni, Muhammad Naoval; Febrilia, Baiq Rika Ayu; Syarifudin, Abdul Gazir; Putra, Lalu Riski Wirendra; Wardhana, I Gede Adhitya Wisnu
Jurnal Pengabdian Inovasi Masyarakat Indonesia Vol. 3 No. 1 (2024): Edisi Februari
Publisher : Program Studi Pendidikan Kimia FKIP Universitas Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/jpimi.v3i1.3532

Abstract

Keputusan terbaru dari Kemendikbud Ristek yang menghapus persyaratan penulisan skripsi bagi mahasiswa merupakan sebuah terobosan penting dalam konteks pendidikan tinggi di Indonesia. Salah satu aspek utama dari kebijakan ini adalah penggantian skripsi dengan publikasi jurnal ilmiah. Sejalan dengan inisiatif ini, Program Studi Matematika Universitas Mataram telah menjalin kerja sama dengan Gamatika Research Club untuk mendistribusikan informasi terkait. Kegiatan sosialisasi ini melibatkan dua narasumber yang ahli di bidangnya. Narasumber pertama memberikan panduan lengkap mengenai prosedur dan pedoman untuk menggantikan skripsi dengan publikasi ilmiah, termasuk tahapan-tahapan yang harus diikuti oleh mahasiswa. Narasumber kedua memberikan tips, motivasi, dan wawasan mengenai pentingnya menerbitkan publikasi ilmiah bagi mahasiswa, serta menjelaskan manfaat dan peluang yang dapat diperoleh dari proses ini. Dengan demikian, kegiatan ini bertujuan untuk memberikan pemahaman yang komprehensif kepada mahasiswa mengenai perubahan ini dalam tata cara penyelesaian studi tingkat sarjana di lingkungan perguruan tinggi.
Pengenalan Algoritma Dengan Menggunakan Permainan Squaring the Square di SMA 1 Batukliang Utara Lombok Tengah Siboro, Ayes Malona; Wahidah, Fathul Maulina; Putra, Lalu Riski Wirendra; Lestari, Sahin Two; Putri, Syaftirridho; Pratama, Rendi Bahtiar; Haryati, Ida; Wardhana, I Gede Adhitya Wisnu
Jurnal Pengabdian Inovasi Masyarakat Indonesia Vol. 3 No. 2 (2024): Edisi Agustus
Publisher : Program Studi Pendidikan Kimia FKIP Universitas Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/jpimi.v3i2.5326

Abstract

This study aims to evaluate the application of the Squaring Square method in improving the understanding of algorithms, geometry and changes in students' attitudes towards mathematics at SMA Negeri 1 Batukliang Utara, Central Lombok. This method involves practical activities in which students compose several small squares into one large square shape, designed to hone spatial skills and problem-solving abilities. Data analysis from the pre-test and post-test showed that applying this method significantly improved students' understanding of geometry concepts and their attitudes towards mathematics lessons. These findings align with constructivist theory, which emphasises the importance of experiential learning and visualization in improving deep conceptual understanding and offers valuable insights for teaching mathematics in schools.
Implementasi Modul Olimpiade SMP Di SMPN 2 Kuripan Lombok Barat Putra, Lalu Riski Wirendra; Pratama, Rendi Bahtiar; Karang, Gusti Yogananda; Irwansyah, Irwansyah; Wardhana, I Gede Adhitya Wisnu; Romdhini, Mamika Ujianita; Abdurahim, Abdurahim; Maulana, Fariz; Satriyantara, Rio; Awanis, Zata Yumni; Putri, Syaftirridho; Graha, Syifa Salsabila Satya; Wahidah, Fathul Maulina; Pratiwi, Lia Fitta; Pradana, Satriawan; Siboro, Ayes Malona; Farwan, Farwan
Sinergi dan Harmoni Masyarakat MIPA Vol. 1 No. 1 (2024): Oktober
Publisher : Fakultas Matematika dan Ilmu Pengetahuan Alam

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/sinonim.v1i1.5517

Abstract

Kegiatan pengabdian kepada masyarakat ini bertujuan untuk mengimpelementasikan modul pembelajaran olimpiade matematika bagi siswa SMPN 2 Kuripan. Kebutuhan akan modul ini didasarkan pada rendahnya akses siswa terhadap materi-materi persiapan olimpiade yang terstruktur dan sesuai dengan kemampuan serta kebutuhan mereka. Metode yang digunakan dalam pengembangan modul ini meliputi analisis kebutuhan, desain dan pengembangan modul, serta uji coba. Modul ini dirancang untuk mencakup berbagai topik matematika yang sering muncul dalam olimpiade, disertai dengan contoh soal dan pembahasan yang mendalam. Hasil dari kegiatan ini menunjukkan bahwa penggunaan modul olimpiade matematika ini dapat meningkatkan pemahaman siswa terhadap materi olimpiade, serta memotivasi mereka untuk lebih aktif dalam mengikuti kompetisi. Evaluasi melalui uji coba menunjukkan respon positif dari siswa, dengan peningkatan signifikan pada hasil latihan soal.
Co-Authors Abdul Gazir Syarifudin Abdurahim, Abdurahim Albaracin, Jimboy R. Farwan, Farwan Febrilia, Baiq Rika Ayu Gayatri, Marena Rahayu Ghoffari, Lalu Hasan Graha, Syifa Salsabila Satya Haryati, Ida Husni, Muhammad Naoval I Gede Adhitya Wisnu Wardhana Irwansyah Irwansyah Karang, Gusti Yogananda Lestari, Sahin Two Mamika Ujianita Romdhini, Mamika Ujianita Maulana, Fariz Muhammad Rijal Alfian Pradana, Satriawan Pratama, Rendi Bahtiar Pratiwi, Lia Fitta Putri, Syaftirridho Qurratul Aini Rio Satriyantara Salwa Salwa Siboro, Ayes Malona Wahidah, Fathul Maulina Zata Yumni Awanis