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All Journal Pythagoras: Jurnal Matematika dan Pendidikan Matematika JURNAL MATEMATIKA STATISTIKA DAN KOMPUTASI Epsilon: Jurnal Matematika Murni dan Terapan CAUCHY: Jurnal Matematika Murni dan Aplikasi Resital: Jurnal Seni Pertunjukan (Journal of Performing Arts) Journal of Degraded and Mining Lands Management Al-Jabar : Jurnal Pendidikan Matematika JURNAL ILMIAH MATEMATIKA DAN TERAPAN JMPM: Jurnal Matematika dan Pendidikan Matematika Adi Widya : Jurnal Pengabdian Masyarakat BAREKENG: Jurnal Ilmu Matematika dan Terapan Jurnal Labora Medika Jambura Journal of Mathematics M A T H L I N E : Jurnal Matematika dan Pendidikan Matematika Jurnal Matematika UNAND Mandalika Mathematics and Educations Journal Jurnal Borneo Akcaya : Jurnal Penelitian dan Pengembangan Pelayanan Publik Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi Leibniz: Jurnal Matematika Journal of Mathematics: Theory and Applications Empowerment Society Asia Pacific Journal of Management and Education Mathematical Sciences and Applications Journal Indonesian Journal of Applied Mathematics and Statistics
Edi Kurniadi
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Agriculture, Biological Sciences & Forestry Arts Humanities Biochemistry, Genetics & Molecular Biology Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Energy Engineering Health Professions Immunology & microbiology Languange, Linguistic, Communication & Media Mathematics Mechanical Engineering Medicine & Pharmacology Physics Public Health Social Sciences Transportation Other

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Metode Pemecahan Sistem Kongruensi Linear Budiman, Muhammad Arief; Kurniadi, Edi; Sukono, Sukono; Sylviani, Sisilia
Mathematical Sciences and Applications Journal Vol. 5 No. 1 (2024): Mathematical Sciences and Applications Journal
Publisher : Department of Mathematics, Faculty of Science and Technology Universitas Jambi

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22437/msa.v5i1.38085

Abstract

A linear congruence system is a system that has more than one linear congruence. The solution of linear congruence systems has an important role in the concept of number theory. Various ways of settlement can be applied in different cases. This study discusses the problem solving of linear congruence systems with the Chinese Remainder Theorem, Intelligent Inspection Algorithm type-I and II and its application.
Kombinasi Algoritma Sandi Caesar dan Algoritma RSA untuk Pengamanan Pesan Teks Alamsyah, Alifa Raida; Kurniadi, Edi; Triska, Anita; Sylviani, Sisilia
Mathematical Sciences and Applications Journal Vol. 5 No. 1 (2024): Mathematical Sciences and Applications Journal
Publisher : Department of Mathematics, Faculty of Science and Technology Universitas Jambi

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22437/msa.v5i1.38104

Abstract

This article combines a simple cryptographic algorithm, Caesar Cipher, with a more complex algorithm, RSA, in order to increase the security of encrypted text messages. Text messages are first encrypted with the Caesar Cipher algorithm, which is then re-encrypted using the RSA algorithm. By utilizing number theory, specifically about integers and modulo arithmetic in the RSA algorithm, a public key and a secret key are obtained that will increase the security of the encryption process in this article. Due to the increased security of the text message, uninvolved parties cannot read the actual text message.
The Orthogonal Matrices of O(2) under A Transitive Standard Action of S^1 Kurniadi, Edi; Pratiwi, Putri Nisa; Queency, Aurillya; Parmikanti, Kankan
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi Volume 12 Issue 2 December 2024
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/euler.v12i2.27752

Abstract

In this paper, we study a Lie group action of the matrix Lie group O(2) on S1 the unit sphere  . The research aims to establish the explicit formulas for all entries of  whose action on S1  is transitive. All possibilities matrices of  are given in which the space  is homogeneous. We prove that there are exactly two matrices in  such that  is the homogeneous space. Moreover, the homogeneous spaces  S(n-1) of O(n)   for n=3  are also discussed.
The Irreducible Unitary Representation of SU(2) and Its Lie algebra Representations Kurniadi, Edi; Badrulfalah, Badrulfalah; Gusriani, Nurul
Mathline : Jurnal Matematika dan Pendidikan Matematika Vol. 9 No. 4 (2024): Mathline : Jurnal Matematika dan Pendidikan Matematika
Publisher : Universitas Wiralodra

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31943/mathline.v9i4.653

Abstract

We study the three dimensional special unitary group  whose the Lie algebra is given by   . The research aims to construct a representation of  and  realized on the inner product  space  of all homogeneous polinomials of degree  and  of all homogeneous polinomials of degree  which satisfying  irreducibility and unitarity conditions. Namely, The action of    and  are presented on the spaces  and  respectively. In the first step, we computed all representations of  on  and .   Furthermore, in the second step, by simply connectedness property of  then the irreducible unitary representation of Lie algebra  realized on  can be obtained from the  representation by using derived representation. The results showed the explicit formulas of representations of    and
SEPUTAR ALJABAR ENVELOPING UNIVERSAL DARI ALJABAR LIE FROBENIUS BERDIMENSI 4 Kurniadi, Edi; Badrulfalah, Badrulfalah; Parmikanti, Kankan
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN (EPSILON: JOURNAL OF PURE AND APPLIED MATHEMATICS) Vol 18, No 2 (2024)
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20527/epsilon.v18i2.13798

Abstract

Setiap aljabar Lie mempunyai aljabar enveloping universal dan bersifat tunggal. Dalam penelitian ini, dipelajari aljabar enveloping universal dari suatu aljabar Lie Frobenius berdimensi 4. Tujuannya adalah untuk membuktikan bahwa aljabar enveloping universal dari suatu aljabar Lie Frobenius berdimensi 4 bersifat primitif. Pertama-tama, dikonstruksi suatu basis untuk aljabar enveloping universal menggunakan Teorema Poincare-Birkhoff-Witt untuk menentukan secara eksplisit aljabar enveloping universalnya dan langkah kedua, menentukan karakteristik aljabar enveloping universal hasil konstruksi. Hasil dalam penelitian ini menunjukkan bahwa setiap aljabar enveloping universal dari aljabar Lie Frobenius berdimensi 4 senantiasa bersifat primitif.
EKSISTENSI ALJABAR LIE FROBENIUS SEBAGAI JUMLAH LANGSUNG DARI ALJABAR LIE FILIFORM BERDIMENSI SAMPAI DENGAN 6 DENGAN SPLIT TORUSNYA Kurniadi, Edi
JMPM: Jurnal Matematika dan Pendidikan Matematika Vol 5 No 2 (2020): September 2020 - February 2021
Publisher : Prodi Pendidikan Matematika Universitas Pesantren Tinggi Darul Ulum Jombang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26594/jmpm.v5i2.1904

Abstract

Misalkan  aljabar Lie Filiform hingga berdimensi sampai dengan . Dalam artikel ini, dibangun  suatu split torus  (jika ada) yang merupakan aljabar bagian komutatif dari turunan   sedemikian sehingga aljabar Lie  yang merupakan jumlah langsung dari   dan  adalah aljabar Lie Frobenius. Lebih jauh, dalam artikel ini dibuktikan bahwa untuk aljabar Lie Filiform standar  yang berdimensi 5 dan 6  yang diberikan tidak terdapat split torus  sedemikian sehingga  aljabar Lie Frobenius. Sementara itu, untuk aljabar Lie Filiform non-standar berdimensi 5 yang diberikan maka terdapat split torus  sedemikian sehingga  adalah aljabar Lie Frobenius berdimensi 6.
The use of biochar and fertilizer to maximize the growth and yield of ginger on degraded alluvial soil Masulili, Agusalim; Suryani, Rini; Kurniadi, Edi
Journal of Degraded and Mining Lands Management Vol. 12 No. 3 (2025)
Publisher : Brawijaya University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15243/jdmlm.2025.123.7523

Abstract

Degraded alluvial soil that is commonly used for growing ginger (Zingiber officinale) has many issues, such as deficiency in nutrients. To increase the yield of ginger, proper fertilizers along with soil improvement techniques must be employed. In this case, the study analyzed the combined effects of rice husk biochar and Mahkota NPK fertilizer on the yield and growth of ginger in alluvial soil. The study was performed using a completely randomized design arranged with two treatment factors. The first factor was the application of rice husk biochar consisting of three different levels: s1 (5 t/ha), s2 (10 t/ha), and s3 (15 t/ha). The second factor was the application of Mahkota NPK fertilizer consisting of three levels: m1 (50 kg/ha), m2 (150 kg/ha), and m3 (250 kg/ha). The results of this study showed that the treatment combination of rice husk biochar and Mahkota NPK fertilizer was highly significant in improving bulk density, total porosity, pH, organic C, total nitrogen, available phosphorus, and potassium of the Alluvial soil. The interaction also greatly affected plant growth in terms of height, tiller formation, and weight of fresh rhizomes. However, the number of leaves remained uninfluenced. The highest yield was obtained with s2m3 treatment (10 t/ha rice husk biochar and 250 kg/ha NPK fertilizer). From this result, it can be suggested that the application of rice husk biochar in combination with Mahkota NPK fertilizer has the potential to remedy degraded alluvial soils and improve the growth and yield of ginger in the soils.
THE LIE ALGEBRA su(3) REPRESENTATION WITH RESPECT TO ITS BASIS Kurniadi, Edi; Parmikanti, Kankan
Jurnal Matematika UNAND Vol. 13 No. 3 (2024)
Publisher : Departemen Matematika dan Sains Data FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmua.13.3.163-169.2024

Abstract

The eight-dimensional Lie algebra of 3×3 anti-Hermitian matrices withits traces equal to zero is denoted by su(3) whose Lie group is denoted by SU(3). Theresearch aims to provide all representations of su(3) with respect to its basis which isrealized on the three complex variables homogeneous polynomials P1 of degree three. The first step is to construct representations of SU(3) on the space H and the second step is to find all derived representations of SU(3). The obtained results are eight explicit formulas of representations su(3) ↷ P1.
Penentuan Hiperstruktur Aljabar dan Karakteristiknya dalam Masalah Pewarisan Biologi Alamsyah, Alifa Raida; Kurniadi, Edi; Triska, Anita
Jambura Journal of Mathematics Vol 7, No 1: February 2025
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/jjom.v7i1.28270

Abstract

This article discusses the application of mathematics in biological inheritance problems, which are closely linked to mathematical studies, particularly in algebraic hyperstructures, including hypergroupoids, hypergroups, and -semigroups. The research aims to determine types of algebraic hyperstructures arising from genetic crossing in inheritance issues, with the crossing results represented in a set where two distinct hyperoperations are applied. Findings indicate that under the first hyperoperation, the algebraic hyperstructures formed include a commutative hypergroup, a regular hypergroup, a cyclic hypergroup, and an -semigroup with one idempotent element, three identity elements, and one generator. Under the second hyperoperation the resulting algebraic hyperstructures include a commutative hypergroup, a regular hypergroup, a cyclic hypergroup, and an -semigroup without idempotent elements, with three identity elements and three generators. Future research could develop various alternative hyperoperations on biological inheritance problems, generating a greater variety of algebraic hyperstructures. The results of this study indicate that the algebraic hyperstructure of a set depends on its hyperoperation.
Application of Number Theory in the Guess Year of Birth Game Hermawan, Aldi; Kurniadi, Edi; Sylviani, Sisilia
Indonesian Journal of Applied Mathematics and Statistics Vol. 2 No. 1 (2025): Indonesian Journal of Applied Mathematics and Statistics (IdJAMS)
Publisher : Lembaga Penelitian dan Pengembangan Matematika dan Statistika Terapan Indonesia, PT Anugrah Teknologi Kecerdasan Buatan PT Anugrah Teknologi Kecerdasan Buatan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.71385/idjams.v2i1.15

Abstract

Number theory is a field of mathematics in which numbers are discussed. There are many developments in this theory. Among them are divisibility, modulo, inverse modulo, congruence and Chinese Remainder Theorem. This research focuses on divisibility and the Chinese Remainder Theorem. What is explained in more detail is a study of several divisibility properties and the application of the Chinese Remainder Theorem to the birth year guessing game. This game is quite popular among middle and high school students. Then, it also explains the technicalities and formulas used in the game to be able to guess the number or year of birth in question. The main finding of these work are prove several divisibility properties and the application of the Chinese Remainder Theorem in the guess year of birth game.
Co-Authors Alamsyah, Alifa Raida Alit Kartiwa, Alit Aminuyati Anita Triska Ari Hepi Yanti Asri Laksmi Riani Asri Laksmi Riani Atmaji, Susan Dwi Cahyaningrum Aurillya Queency Badrulfalah Badrulfalah Betty Subartini Cholil, Mohammad Dellavani, Charitra Yulia Dien Wardihastri Destina Paningrum, Destina Diah Wulandari Rousdy Dwi Soegiarto, Dwi Ema Carnia Estetika Mutiaranisa Kurniawati Firdaniza Firdaniza Hafizhah, Nur Henti, Henti Hermawan, Aldi Holyness Nurdin Singadimedja Ida Ayu Suci Irawati Irawati Isah Aisah Kankan Parmikanti Khairudin Khairudin Kurniawati, Estetika Mutiaranisa Masulili, Agusalim Mohammad Cholil Muhammad Arief Budiman Mulyanto Mulyanto Nurul Gusriani, Nurul Pratiwi, Putri Nisa Queency, Aurillya Rahmawati, Rahmawati Rikhsan Kurniatuhadi, Rikhsan Rini Suryani, Rini Rusnandari Retno Cahyani Setiawan, Ade Ripki Sisilia Sylviani siti nurlela Slamet Supriyadi Slamet Supriyadi Stanley P. Dewanto, Stanley P. Sukono . Sumartono, Basuki Susan Dwi Cahyaningrum, Atmaji, Sutikarini Tielung, M. Fariel Fahriza Wahida , Adam