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A Study on Strategic Approaches to Team NIM Games Using Number Theory Faza, Novan Ramadhani Nur; Kurniadi, Edi; Sylviani, Sisilia
Indonesian Journal of Applied Mathematics and Statistics Vol. 1 No. 2 (2024): 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.v1i2.16

Abstract

Many games are related to Maths, such as bridge card games, dominoes, chess, NIM, and many others. For example, the NIM game is a strategy game played by two players or two teams in which each player or team takes turns taking at least one object with certain rules. Winning the game depends on how many objects are available and who plays first. In this article, we will present the NIM Maxima game. In this NIM game, the concept of Mathematics that will be used is number theory to determine a strategy to win the game.
Exploring Algebraic Properties and the Applications of Chinese Remainder Theorem Maharani, Saskia Putri; Kurniadi, Edi; Sylviani, Sisilia
Indonesian Journal of Applied Mathematics and Statistics Vol. 1 No. 2 (2024): 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.v1i2.19

Abstract

This research aims to identify the algebraic properties of the Chinese Remainder Theorem or CRT. Chinese Remainder Theorem is an ancient mathematical theorem that allows the solution of a system of simultaneous equations with different modules and allows the reconstruction of integers within a certain range of remainders modulo to relatively prime modulo. The method used in this research is literature study. This theorem allows for efficient processing and manipulation of integers with very large sizes. The proof of the theorems in Chinese Remainder Theorem is also presented in this research.
Symplectic Form yang Berkaitan Dengan Satu-form Suatu Aljabar Lie Berdimensi Rendah Kurniadi, Edi
Journal of Mathematics: Theory and Applications Vol 6 No 1 (2024): Volume 6, Nomor 1, 2024
Publisher : Program Studi Matematika Universitas Sulawesi Barat

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31605/jomta.v6i1.3096

Abstract

In this paper, we study symplectic form on low dimensional real Lie algebra. A symplectic form is very important in classifying of Lie algebra types. Based on their dimension and certain conditions, there are two types of Lie algebras. A lie algebra with odd dimension endowed with one-form such that is called a contact Lie algebra, while a Lie algebra whose dimension is even and it is endowed with zero index is called a Frobenius Lie algebra. The research aimed to give explicit formula of a symplectic form of low dimensional contact Lie algebras and Frobenius Lie algebras. We established that a one-form associated to simplectic form determine a type of a Lie algebra whether a contact or a Frobenius Lie algebras.To clearer the main results, we give some examples of one-form and symplectic form of Frobenius and contact Lie algebras.
Creativepreneurship UMKM Batik Lasem Rembang, Peningkatan Kapasitas Usaha melalui Kualitas Produksi dan Pemasaran Digital Rahmawati, Rahmawati; Kurniadi, Edi; Rikah, Rikah; Nurlaela, Siti; Rudianto, Rudianto; Handayani, Sarah Rum; Arifah, Siti
Muria Jurnal Layanan Masyarakat Vol 6, No 1 (2024): Maret 2024
Publisher : Universitas Muria Kudus

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24176/mjlm.v6i1.10897

Abstract

Tujuan kegiatan pengabdian kepada masyarakat ini adalah memberikan alternatif solusi atas permasalahan yang terdapat di UMKM Batik Lasem Rembang berupa pelatihan dalam rangka peningkatan kualitas produksi serta pelatihan pemasaran digital sebagai upaya memberi pengetahuan dan keterampilan creativepreneurship. UMKM ini membutuhkan peningkatan pemahaman dan keterampilan karyawan dalam pemanfaatan teknologi informasi untuk mengembangkan usaha serta menciptakan saluran penjualan secara digital. Program ini terdiri dari tiga tahap yakni: tahap persiapan, tahap edukasi dan pelatihan karyawan mengenai creativepreneurship, dan tahap keberlanjutan program. Target yang dicapai meliputi: terlaksananya pelatihan kepada karyawan Batik Hastadana mengenai pemasaran digital dan creativepreneurship; terlaksananya praktek perancangan desain motif batik berdasarkan trend yang diminati pasar digital; dan regenerasi tenaga kerja muda untuk meningkatkan kualitas produk yang memiliki daya saing untuk meningkatkan penjualan. Luaran yang dicapai yakni: peningkatan level keberdayaan mitra, peningkatan kualitas produksi dengan penciptaan inovasi 5 desain motif batik, dan regenerasi usia muda yang terlibat dalam pengelolaan, produksi, dan pemasaran batik.
On Properties of Five-dimensional Nonstandard Filiform Lie algebra Putra, Ricardo Eka; Kurniadi, Edi; Carnia, Ema
CAUCHY: Jurnal Matematika Murni dan Aplikasi Vol 8, No 2 (2023): CAUCHY: JURNAL MATEMATIKA MURNI DAN APLIKASI
Publisher : Mathematics Department, Universitas Islam Negeri Maulana Malik Ibrahim Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/ca.v8i2.21018

Abstract

In this paper, we study the five-dimensional nonstandard Filiform Lie algebra and their basis elements representations. The aim of this research is to determine the basis elements of five-dimensional nonstandard Filiform Lie algebras representation in the form of  real matrices. The method used in this study is by following Ceballos, Núñez, and Tenorio’s work. The results of this study are five real matrices  as the realization of the basis elements of the five-dimensional nonstandard Filiform Lie algebra. We also discuss some results relate to five-dimensional nonstandard Filiform Lie algebra’s properties. The five-dimensional nonstandard Filiform Lie algebra is always nilpotent. For further research, it can be extended to five classes of Filiform Lie algebra, both standard and nonstandard with six dimensions. Moreover, it can be computed their split torus such that their direct sums are Frobenius Lie algebras.
Effect of Rice Husk Bioactive Compost Charcoal Application on the Agronomic Characteristics of Peanut (Arachis hypogaea L.) on Alluvial Soil Suyanto, Agus; Indrawati, Urai Suci Yulies Vitri; Rosalina, Shinta; Kurniadi, Edi
Jurnal Teknik Pertanian Lampung (Journal of Agricultural Engineering) Vol. 14 No. 2 (2025): April 2025
Publisher : The University of Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23960/jtep-l.v14i2.372-379

Abstract

Peanut production on alluvial soil faced challenges due to low soil fertility. The application of soil amendments such as bioactive compost charcoal (BCC) was necessary to improve alluvial soil fertility. The aim of the study was to assess the effect of rice husk BCC application on the agronomic characteristics of peanut in alluvial soil. The research was conducted using a Completely Randomized Design (CRD) and analyzed using the F-test and Tukey's test at 5% significance level. The study design included 4 samples and 6 treatment levels: d1 (20 g/polybag), d2 (40 g/polybag), d3 (60 g/polybag), d4 (80 g/polybag), d5 (100 g/polybag), and d6 (120 g/polybag). The observation variables included plant height, number of branches, number of pods, pod wet weight per plant, and pod dry weight per plant. The data analysis results showed that the application of BCC had a significant effect on the agronomic characteristics of the peanut plants. The application of BCC at a dose of 120 g/polybag showed the best results and was recommended for use on alluvial soil with crop yield of of 31.72 g fresh pod or 24.86 g dry pod weight. Keywords: Agronomic characteristics, Alluvial soil, Bioactive compost charcoal, Peanut, Rice husk.
REPRESENTASI su(2) DAN KOMPLEKSIFIKASI su(2)_C=sl(2,C) PADA RUANG VEKTOR POLINOM HOMOGEN Kurniadi, Edi; Badrulfalah, Badrulfalah; Gusriani, Nurul
Jurnal Silogisme : Kajian Ilmu Matematika dan Pembelajarannya Vol 9 No 2 (2024): Desember
Publisher : Universitas Muhammadiyah Ponorogo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24269/silogisme.v9i2.9259

Abstract

Aljabar Lie su(N) mempunyai kompleksifikasi sl(N,C). Dengan kata lain, suNC≅sl(N,C). Dalam artikel ini, dipelajari representasi aljabar Lie su(N) dan sl(N,C) khususnya untuk N=2 yang direalisasikan pada ruang vektor polinom homogen kompleks dua variabel berderajat dua. Tujuannya adalah untuk mengkonstruksi representasi sl(2,C) dari representasi su(2) dan  membuktikan bahwa representasi yang diperoleh bersifat unitar dan tak tereduksi. Selanjutnya, karena grup Lie dari  su(2) bersifat simply connected maka representasi su(2) dapat dikonstruksi dari grup Lie-nya. Di sisi lain, karena su2C≅sl(2,C) maka representasi dari sl(2,C) dapat dikonstruksi melalui perluasan linear-kompleks dari representasi su(2) dan hasilnya dapat dinyatakan dalam bentuk operator linear.
Classification of types A and A_+ from low dimensional standard and non-standard filiform Lie Algebras Kurniadi, Edi; Parmikanti, Kankan; Badrulfalah, Badrulfalah
Journal of Natural Sciences and Mathematics Research Vol. 9 No. 2 (2023): December
Publisher : Faculty of Science and Technology, Universitas Islam Negeri Walisongo Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar

Abstract

In this paper, we study low-dimensional Filiform Lie algebras. Specifically, three-dimensional standard Filiform Lie algebras and five-dimensional non-standard Filiform Lie algebras. The classification method was given in the following stage. For given a low-dimensional Filiform Lie algebra, we compute its second centre. We showed that three-dimensional Filiform Lie algebra-called Heisenberg Lie algebra-is type ???? and ????+ as well. On the other hand, for ????≥3, the standard Filiform Lie algebras are type ???? but not type ????+. In this case, we give a concrete example of case five-dimensional Heisenberg Lie algebra. Moreover, we proved that five-dimensional non-standard Filiform Lie algebra is type ???? but not type ????+. It is still an open problem to classify types ???? and ????+ for the general case of non-standard Filiform Lie algebra of dimension ≥6.
On Properties of the (2n+1)-Dimensional Heisenberg Lie Algebra Kurniadi, Edi
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 4, No 2 (2020): October
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v4i2.2339

Abstract

In the present paper, we study some properties of the Heisenberg Lie algebra of dimension . The main purpose of this research is to construct a real Frobenius Lie algebra from the Heisenberg Lie algebra of dimension . To achieve this, we exhibit  how to compute the derivation of the Heisenberg Lie algebra by following Oom’s result. In this research, we use a literature review method to some related papers corresponding to a derivation of a Lie algebra, Frobenius Lie algebras, and Plancherel measure. Determining a conjecture of a real Frobenius Lie algebra is obtained. As the main result, we prove that conjecture. Namely, for the given the Heisenberg Lie algebra, there exists a commutative subalgebra of dimension one such that its semi direct sum is a real Frobenius Lie algebra of dimension . Futhermore, in the notion of the Lie group of the Heisenberg Lie algebra which is called the Heisenberg Lie group, we compute the generalized character of its group  and we determine the Plancherel measure of the unitary dual of the Heisenberg Lie group. As our contributions, we complete some examples of Frobenius Lie algebras obtained from a nilpotent Lie algebra and we also give alternative computations to find the Plancherel measure of the Heisenberg Lie group.
Increasing Production Capacity and Financial Strengthening of Hand-Printed Batik Motif Textile Business at Kenayyu SME in Sragen Regency Murni, Sri; Kurniadi, Edi; Hisjam, Muhammad; Rahmawati, Rahmawati; Rudianto, M
IMPOWERMENT SOCIETY Vol 8 No 2 (2025): Agustus 2025
Publisher : Institut Teknologi dan Bisnis Widya Gama Lumajang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30741/eps.v8i2.1705

Abstract

This community service program aims to address the problems faced by Kenayyu Small and Medium Enterprises (SMEs) in Sragen Regency, particularly in the areas of financial management, accounting practices, design innovation, production capacity, and marketing. The urgency of this activity arises from the limited availability of production equipment, unstructured financial recording systems, and lack of marketing strategies, which hinder the competitiveness and sustainability of hand-printed batik businesses. To overcome these issues, the program was implemented through five main stages: (a) socialization, (b) training, (c) technology application, (d) mentoring and evaluation, and (e) program sustainability. The socialization stage built awareness and commitment among partners, while the training improved skills in financial recording, accounting applications, and batik motif design. The application of technology was carried out through the use of dynamo-powered equipment to enhance production efficiency. Mentoring and evaluation ensured continuous improvement and problem-solving, and the sustainability stage encouraged partners to maintain progress after the program ended. These activities have produced significant outcomes, including increased financial literacy, better product design innovation, improved production efficiency, and expanded digital marketing through marketplaces, leading to higher competitiveness and turnover for partner SMEs.