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All Journal Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi Alinea: Jurnal Bahasa, Sastra, dan Pengajaran
Akbar, Muhammad Imam
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Religion Computer Science & IT Education Languange, Linguistic, Communication & Media Mathematics

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Totalitarianism in Arafat Nur's novel Lampuki from Hannah Arendt's perspective Akbar, Muhammad Imam; Pujianto, Pujianto; Muniroh, Sri
Alinea: Jurnal Bahasa, Sastra dan Pengajaran Vol. 5 No. 1 (2025): Alinea: Jurnal Bahasa, Sastra, dan Pengajaran
Publisher : Bale Literasi: Lembaga Riset, Pelatihan & Edukasi, Sosial, Publikasi

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58218/alinea.v5i1.976

Abstract

Totalitarianisme menjadi paham yang mengerikan bagi rakyat di mana pemerintah memiliki kontrol penuh atas tiap individu. Tujuan penelitian ini adalah mengungkap: (1) Bagaimana bentuk totalitarian dalam novel Lampuki karya Arafat Nur berdasarkan perspektif Hannah Arendt; (2) Bagaimana dampak totalitarian dalam novel Lampuki karya Arafat Nur berdasarkan perspektif Hannah Arendt. Penelitian ini merupakan penelitian deksriptif kualitatif. Sumber data berupa novel Lampuki karya Arafat Nur. Teknik pengumpulan data menggunakan teknik baca dan catat. Analisisnya melalui tiga Langkah yakni reduksi data, penyajian data dan penarikan kesimpulan. Hasil penelitian menunjukkan bahwa (1) bentuk totalitarian yang ada dalam novel adalah dominasi ideologi absolut, kontrol penuh atas individu, struktur birokrasi yang kuat, dan penggunaan kekerasan dan represi; (2) dampak dari totalitarian terhadap rakyat adalah keraguan terhadap otoritas rezim; perubahan sosial; kekhawatiran publik, kematian warga sipil.
Validasi Estimasi Batas Atas Luas Sofa dan Perhitungan Luas Sofa Gerver serta Analisis Mekanisme Pergerakan Sofa Hammersley Akbar, Muhammad Imam; Gumilang, Aji; Hakim, Denny Ivanal
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi Volume 13 Issue 3 December 2025
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/euler.v13i3.33457

Abstract

The Moving Sofa Problem concerns the planar shape of maximum area that can be moved around a right-angled corner in a two-dimensional hallway of unit width. The objectives of this study are (1) to validate the upper bound estimate of the sofa area obtained from the intersection of the straight corridor and the right-angled corridor models, (2) to analyze the movement mechanism of the Hammersley sofa through rotation paths and contact paths, and (3) to provide details of the Gerver sofa area calculation for numerical validation. The methods used include analysis of the function A(u, θ), which is the upper bound value function of the sofa area obtained from the area of the intersection of the straight corridor and the right-angled corridor, the application of the concepts of rotation paths, contact points, and contact paths to prove that the Hammersley sofa construction can pass through the right-angled corridor, and the calculation of the area using Green’s Theorem to validate the Gerver sofa area. The main results show that (1) the minimum upper bound of the function A(u, θ) reaches two times the square root of two under certain conditions, (2) the rotation path used proves that the Hammersley sofa satisfies the definition of a shape that can pass through a right-angled corridor, and (3) calculations using Green’s Theorem yield an area of approximately 2.2195 area units. The findings of this study clarify the geometric construction elements of the Hammersley and Gerver sofas, and provide validation details that have rarely been fully described before.
Co-Authors Gumilang, Aji Hakim, Denny Ivanal Muniroh, Sri Pujianto Pujianto