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All Journal JURNAL MATEMATIKA STATISTIKA DAN KOMPUTASI Unisda Journal of Mathematics and Computer Science (UJMC) Jurnal Pengabdian Inovasi Masyarakat Indonesia
Muhammad Naoval Husni
Universitas Mataram
Agriculture, Biological Sciences & Forestry Chemistry Computer Science & IT Education Mathematics Social Sciences Other

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Diagonalisasi Operator Linear Muhammad Naoval Husni
UJMC (Unisda Journal of Mathematics and Computer Science) Vol 8 No 2 (2022): Unisda Journal of Mathematics and Computer science
Publisher : Mathematics Department, Faculty of Mathematics and Sciences Unisda Lamongan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.52166/ujmc.v8i2.3498

Abstract

There are many problems in finding a basis for consisting of the eigenvectors of a square matrix. These bases can be used to study the geometric properties of A and simplify various numerical calculations involving A. These bases are also important in various applications, one of which is from these bases we can derive the properties of vector spaces one of which is that each eigenspace is a subspace of its vector space. The problem of finding a basis consisting of eigenvectors is equivalent to the diagonalization problem. The author of this article will, the diagonalization of linear operators.
Pengenalan Teori Permainan dan Statistika Dasar ke Siswa SMAN 1 Selong dengan Pendekatan MSJ Ayes Malona Siboro; Bulqis Nebulla Syechah; Dina Eka Putri; Fariz Maulana; I Gede Adhitya Wisnu Wardhana; Irwansyah Irwansyah; Lailia Awalushaumi; Lalu Hasan Ghoffari; Lalu Riski Wirendra Putra; Muhammad Naoval Husni; Nur Asmita Purnamasari; Nuzla Af'idatur Robbaniyyah; Salwa Salwa; Qurratul Aini; Zata Yumni Awanis
Jurnal Pengabdian Inovasi Masyarakat Indonesia Vol. 2 No. 2 (2023): Edisi Agustus
Publisher : Program Studi Pendidikan Kimia FKIP Universitas Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/jpimi.v2i2.2893

Abstract

The community engagement activity carried out by the teaching team from the Mathematics Program of the Faculty of Mathematics and Natural Sciences at Universitas Mataram to SMAN 1 Selong has successfully introduced students to the importance of statistics and game theory in decision-making. Through stories and real-life cases, students are encouraged to consider factors such as averages and standard deviations in making informed decisions. They also learn about the story of John Nash, who discovered game theory, and compare it to the economic principles of Adam Smith. Students realize that collective interests can lead to better outcomes than personal interests. In the case of The Prisoner's Dilemma, students also see the importance of game theory in the context of collective decision-making. Overall, this activity helps students understand the importance of statistics and game theory in the decision-making process.
Indeks Szeged dan Indeks Padmakar-Ivan pada Graf Nilpoten pada Gelanggang Bilangan Bulat Modulo Orde Prima Berpangkat Muhammad Naoval Husni; I Gede Adhitya Wisnu Wardhana; Putu Kartika Dewi; I Nengah Suparta
Jurnal Matematika, Statistika dan Komputasi Vol. 20 No. 2 (2024): JANUARY 2024
Publisher : Department of Mathematics, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20956/j.v20i2.31418

Abstract

Recently, graphs have started to be used to represent a finite ring. Nikmehr and  Khojasteh in the article  defined the nilpotent graph of a ring . Denoted , is a graph with the set of vertices being all the elements in the ring  Two vertices  and  are adjacent if and only if  is nilpotent elements in the ring . Topological index is a field that discusses graph structure based on the degree of each vertex of a graph and the distance between vertices.  In this study, the author will gives the general formula of the Szeged index and Padmakar-Ivan index of the nilpotent graph graph of the modulo ring with prime power order. The result of this research is a general formula for the topological indices of nilpotent graphs of the integer modulo ring, called the Szeged index and the Padmakar-Ivan index.
Co-Authors Ayes Malona Siboro Dina Eka Putri I Gede Adhitya Wisnu Wardhana Irwansyah Irwansyah Lailia Awalushaumi Lalu Hasan Ghoffari Lalu Riski Wirendra Putra Maulana, Fariz Nur Asmita Purnamasari Nuzla Af'idatur Robbaniyyah Prof. Dr.I Nengah Suparta,M.Si . Putu Kartika Dewi Qurratul Aini Salwa Salwa Zata Yumni Awanis