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Analisis Keberhinggaan Matriks Representasi atas Grup Berhingga Taufan, Muhammad; Romdhini, Mamika Ujianita; Switrayni, Ni Wayan
Eigen Mathematics Journal Vol 1 No 1: Vol 1 No 1 Juni 2018
Publisher : University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (364.442 KB) | DOI: 10.29303/emj.v1i1.10

Abstract

Representation of a finite group G over generator linear non singular mxm matrix with entries of field K defined by group homomorphismA : G → GLm(K)Basically, the non singular mxm matrix A(x) which representing the finite group G divided into two, that are the unitary matrix and non unitary matrix . If A(x) is a non unitary matrix, then there exist a unitary matrix which similar to A(x). This research deals to analyze the numbers of one example of a unitary matrix representation over arbitrary finite group G with order n that is permutation matrix, and the number of unitary matrix which is similar to real non unitary matrix representation of arbitrary finite group G order 2. The results showed the numbers of permutation matrix representation is n! and unitary matrix which is similar to non unitary matrix representation is 2.
PENGARUH DISIPLIN KERJA DAN MOTIVASI KERJA TERHADAP PRODUKTIVITAS KERJA KARYAWAN PADA PT MOUNT SCOPUS INDONESIA JAKARTA SELATAN Taufan, Muhammad; Sudarso, Aden Prawiro
Neraca: Jurnal Ekonomi, Manajemen dan Akuntansi Vol. 2 No. 8 (2024): Neraca: Jurnal Ekonomi, Manajemen dan Akuntansi
Publisher : Neraca: Jurnal Ekonomi, Manajemen dan Akuntansi

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Abstract

Tujuan penelitian ini adalah untuk mengetahui Pengaruh Disiplin Kerja dan Motivasi kerja terhadap Produktivitas Kerja Karyawan pada PT Mount Scopus Indonesia Jakarta Selatan baik secara parsial maupun simultan. Metode yang digunakan adalah kuantitatif. Teknik pengambilan sampel menggunakan sampling jenuh dan diperoleh sampel sebanyak 68 responden. Analisis data menggunakan uji validitas, uji reliabilitas, uji asumsi klasik, analisis regresi, koefisien korelasi, koefisien determinasi dan uji hipotesis. Hasil penelitian ini adalah Disiplin Kerja tidak berpengaruh signifikan terhadap Produktivitas Kerja Karyawan dengan nilai koefisien determinasi sebesar 26% dan uji hipotesis diperoleh thitung < ttabel atau (1,766 lebih kecil dari 1,997). Motivasi kerja berpengaruh signifikan terhadap Produktivitas Kerja Karyawan dengan nilai koefisien determinasi sebesar 64,8% dan uji hipotesis diperoleh thitung > ttabel atau (8,842 lebih besar dari 1,997). Disiplin Kerja dan Motivasi kerja secara simultan berpengaruh signifikan terhadap Produktivitas Kerja Karyawan dengan persamaan regresi Y = 11,718 + 0,242X1 + 0,746X2. Nilai koefisien determinasi sebesar 81,5% sedangkan sisanya sebesar 19,5% dipengaruhi faktor lain. Uji hipotesis diperoleh nilai Fhitung > Ftabel atau (64,246 lebih besar dari 3,14).
Five Efforts in Building the Character of Students Rahawarin, Yunus; Taufan, Muhammad; Oktavia, Gifa; Febriani, Afifah; Hamdi, Hafizul; Iskandar, M. Yakub
Al-kayyis: Journal of Islamic Education Vol. 1 No. 1 (2023): December
Publisher : Al-kayyis: Journal of Islamic Education

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Abstract

Teachers' efforts to develop students' morals are an integral aspect of the character education process. This research aims to find out how moral belief teachers work in the classroom, outside the classroom, obstacles and how to overcome the development of student morals. This research uses a qualitative method with a case study approach. The data source was taken from five informants through in-depth interviews who were selected using purposive sampling techniques, one informant was a teacher who taught Aqidah Akhlak. All interview results were then analyzed thematically by Miles and Huberman. The results of the analysis found that efforts to develop morals in students to become role models; give advice; speak politely; participate in school activities and provide sanctions. The results of this research can become the basis for developing moral development programs in educational institutions so that the educational process not only includes the transfer of knowledge but also the formation of individuals with noble morals.