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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 Journal of Natural Sciences and Mathematics Research Al-Jabar : Jurnal Pendidikan Matematika Asia-Pacific Management and Business Application JURNAL ILMIAH MATEMATIKA DAN TERAPAN JMPM: Jurnal Matematika dan Pendidikan Matematika Adi Widya : Jurnal Pengabdian Masyarakat BAREKENG: Jurnal Ilmu Matematika dan Terapan JTAM (Jurnal Teori dan Aplikasi Matematika) Jurnal Teknik Pertanian Lampung (Journal of Agricultural Engineering) Jurnal Labora Medika JURNAL SILOGISME : Kajian Ilmu Matematika dan Pembelajarannya 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 Muria Jurnal Layanan Masyarakat 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 Chemistry Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Energy Engineering Environmental Science Health Professions Immunology & microbiology Languange, Linguistic, Communication & Media Materials Science & Nanotechnology Mathematics Mechanical Engineering Medicine & Pharmacology Physics Public Health Social Sciences Transportation Other

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HYBRIDIZING HENSEL’S LEMMA, FUNDAMENTAL THEOREM OF ARITHMETIC, AND CHINESE REMAINDER THEOREM FOR SOLVING POLYNOMIAL CONGRUENCES Oktaviansyah, Eka; Kurniadi, Edi; Kusuma, Dianne Amor
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 20 No 1 (2026): BAREKENG: Journal of Mathematics and Its Application
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/barekengvol20iss1pp0853-0864

Abstract

Polynomial congruence can be solved by applying Hensel’s Lemma. However, Hensel’s Lemma itself does not apply to solving generalized polynomial congruences. The purpose of this research is to determine the recursive formula for the solution of polynomial congruence modulo prime numbers and to construct a general solution algorithm of polynomial congruence modulo arbitrary positive integers. Unlike previous studies, this research proposes the recursive hybrid algorithm combining Hensel’s Lemma, the Fundamental Theorem of Arithmetic, and the Chinese Remainder Theorem, highlighting the originality of the approach in extending its application beyond prime power moduli. The result of this research is the form of a recursive formula for the solution of polynomial congruence modulo prime numbers and the algorithm for solving polynomial congruence modulo arbitrary positive integers using the combination of Hensel’s Lemma, Fundamental Theorem of Arithmetic, and Chinese Remainder Theorem. The results of this research contribute to the development of mathematical methods, especially in the field of number theory. However, the applicability of the recursive formula is limited to cases where the conditions of Hensel’s Lemma are satisfied, that is, when a solution of the polynomial modulo a prime is such that the polynomial equals zero while its derivative does not equal zero modulo the same prime. Extending the method to situations where this condition fails remains a subject for future research.
The Role of Human Resource in Laweyan Batik Industry, Surakarta Kurniadi, Edi; Sarwono, Sarwono; Riani, Asri Laksmi
APMBA (Asia Pacific Management and Business Application) Vol. 7 No. 1 (2018)
Publisher : Department of Management, Faculty of Economics and Business, Brawijaya University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21776/ub.apmba.2018.007.01.4

Abstract

Indonesia is a country with a socio-economic structure of society that is represented by the existence of the villages. At present, there are many villages in Indonesia that have developed due to the economic efforts made by the village communities. One of these villages is Laweyan village, in Central Java Province. Laweyan village is a well-known batik production in the development of Surakarta municipality. Up to this day, Kampung Batik Laweyan (Laweyan Batik Village) has become a brand image of batik in Surakarta and surrounding areas, even Laweyan's batik products have penetrated the international world. Here, batik business owner and their employees work together to conserve batik products as a result of the declaration of Kampung Laweyan as batik tourism village. The aim of this study is to develop quality and creativity in batik products, as well as product marketing. To achieve it the improvement of human resource quality (business owner and employee) is needed. Training on various managerial skills and other skills will enable them to compete in the business world as well as to provide better services to customers. Using descriptive analysis, the data is collected using several methods: field observation, interview, FGD, and content analysis (document review). The data is analyzed using several techniques, interactive analysis techniques and internal-external analysis techniques. The results of this study show that the craftsman/business owner in Laweyan batik industrial center always try to maintain the survival of their companies, with the knowledge provided to them and managerial and attitude training, they are better prepared to adapt to the recent development and the environment in the sense that they have developed the integration and synergy of human resources based to the structure and function in batik production and marketing aspect.
Co-Authors Agus Suyanto 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 Faza, Novan Ramadhani Nur Firdaniza Firdaniza Hafizhah, Nur Henti, Henti Hermawan, Aldi Hisjam, Muhammad Holyness Nurdin Singadimedja Ida Ayu Suci Indrawati, Urai Suci Yulies Vitri Irawati Irawati Isah Aisah Kankan Parmikanti Khairudin Khairudin Kurniawati, Estetika Mutiaranisa Kusuma, Dianne Amor Maharani, Saskia Putri Masulili, Agusalim Mohammad Cholil Muhammad Arief Budiman Mulyanto Mulyanto Nurul Gusriani, Nurul Oktaviansyah, Eka Pratiwi, Putri Nisa Putra, Ricardo Eka Queency, Aurillya Rahmawati, Rahmawati Rikah, Rikah Rikhsan Kurniatuhadi, Rikhsan Rini Suryani, Rini Rosalina, Shinta Rudianto Rudianto Rudianto, M Rusnandari Retno Cahyani Sarah Rum Handayani Sarwono Sarwono Setiawan, Ade Ripki Sisilia Sylviani Siti Arifah Siti Nurlaela siti nurlela Slamet Supriyadi Slamet Supriyadi Sri Murni Stanley P. Dewanto, Stanley P. Sukono Sukono Sumartono, Basuki Susan Dwi Cahyaningrum, Atmaji, Sutikarini Tielung, M. Fariel Fahriza Wahida , Adam