Aplikasi Modulo Berpangkat ab mod n Menggunakan Pola Barisan dan Teorema Euler Berbasis Web

Authors

  • Rohmad Wahid Rhomdani Universitas Muhammadiyah Jember
  • Yoga Dwi Windy Kusuma Ningtyas Universitas Muhammadiyah Jember

DOI:

https://doi.org/10.25273/jems.v9i2.11449

Keywords:

Modulo, Barisan, Euler, Javascript, Web

Abstract

Penelitian mengunakan adalah studi literatur yaitu mengkaji teorema Euler dan menguji serta menyelidiki pola barisan pada modulo berpangkat  ab mod n. Peneliti melakukan pengujian dengan javscript untuk menentukan n dan a adalah bilangan bulat positif yang saling koprima dan dinyatakan sebagai  aφ(n) ≡ 1 (mod n) atau aφ(n) mod n = 1. Peneliti berhasil merangkai algoritma javascript dan membuat aplikasi berbasis web dapat memberikan jawaban yang akurat pada penyelesaiannya modulo berpangkat dengan dua cara yaitu sisa pembagian pangkat menggunakan pola barisan dan menggunakan cara penyelesaian pangkat fungsi phi Euler φ(n) modulo n yang kongruen dengan satu. 

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References

Akhil Mathew. 2021. On K(1)-local TR. Compositio Mathematica. 157(5)

Chung F, Folkman J & Graham R. 2018. Sum Sequences Modulo n. Journal of Combinatorial Theory, Series A. Elsevier. 158(2) : 290-314

Lia Y & Kim D. 2018. Menon-type identities with additive characters. Journal of Number Theory. Elsevier. 192(2):373-385

Mariko S. 2019. Aplikasi website berbasis HTML dan JavaScript untuk menyelesaikan fungsi integral pada mata kuliah kalkulus. Jurnal Inovasi Teknologi Pendidikan. 6(1):80-91

Mustafa S.R. 2020. Analisis Sisa Pembagian dari Sigma 13i Pangkat m dengan i dari 1 Sampai n oleh Pembagi 2. Jurnal Ilmiah Edu Research. 9(2):72-77

Padmanaba A, Kumalasari E & Andayati D. 2020. Komparasi Penggunaan Framework Codeigniter Vs Php Native Pada Sistem Informasi Manajemen Surat Sekretariat Dprd Pemalang. Jurnal Script. 8(1):1-6

Sumarni A.R. 2020. Pengembangan Aplikasi Perhitungan Integral Pada Materi Kinematika. Pendekar: Jurnal Pendidikan Berkarakter. 3(2):58-62

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Published

2021-09-19

Issue

Vol. 9 No. 2 (2021)

Section

Articles

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