Penerapan Kombinatorik pada Persamaan Diophantine Linier

Authors

  • A’lailliyyin A’lailliyyin1 Universitas Islam Madura
  • Rica Amalia Universitas Islam Madura
  • Tony Yulianto Universitas Islam Madura

DOI:

https://doi.org/10.31102/zeta.2022.7.2.64-68

Keywords:

linear diophantine equation, combinatoric, natural numbers, whole numbers

Abstract

In this paper we apply combinatoric principle on linear diophantine equation. The method being used on this research is theoritic method. Generally, the linear diophantine equation is a polynomial equation. The form of equation being solved in this paper is linear diophantine equation. As for the solution of this equation is limited to natural numbers and whole numbers. By using the combinatoric principle, we got the number of solution of these linear diophantine equation which is the combination  for natural numbers solution and  for whole numbers solution.

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References

Ahfalinisa'i, 2008. Penyelesaian Persamaan Pell dengan Menggunakan Algoritma PQa dan Metode Matriks. Malang: Skripsi Universitas Islam Negeri (UIN) Malang.
Sugandha, A., Surbakti, A. T. & Prabowo, A., 2017. Prosiding Seminar Nasional Tahunan Matematika, Sains dan Teknologi. Persamaan Diophantine non Linear, pp. 240-244.
Yesilyurt, D., 2012. Solving Linear Diophantine Equations and Linear Congruential Equations. Linnaeus University, School of Computer Science, Physics and Mathematics.

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Published

2022-11-25

How to Cite

A’lailliyyin1, A., Amalia, R., & Yulianto, T. (2022). Penerapan Kombinatorik pada Persamaan Diophantine Linier. Zeta - Math Journal, 7(2), 64–68. https://doi.org/10.31102/zeta.2022.7.2.64-68

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