Asfa’ani, Ezhari
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Hubungan antara Keterobservasian dan Keterkonstruksian Sistem Linier Kontinu Bergantung Waktu Asfa’ani, Ezhari
Math Educa Journal Vol 1, No 1 (2017)
Publisher : Universitas Islam Negeri Imam Bonjol Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15548/mej.v1i1.1545

Abstract

Continuous time-varying linier system is a model which many peoples to find in any applications. This paper to teaching connection of observability and constructibility for continuous time-varying linear system. With algebra method we can proof any theorems to result connection of observability and constructibility for continuous time-varying linear system. Futhermore, we gave any examples for illustration to be valid this theorems and this proof.
Titik Setimbang Nash pada Permainan Linear Kuadratik Non-kooperatif dengan Asumsi Keseluruhan Pemain dapat Menstabilkan Sistem Asfa’ani, Ezhari
Math Educa Journal Vol 1, No 2 (2017)
Publisher : Universitas Islam Negeri Imam Bonjol Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15548/mej.v1i2.28

Abstract

We discuss about Nash equilibria for the linear quadratic differential game for an infinite planning horizon. We consider an open-loop information structure. In the standard literature this problem is solved under the assumption and provide both necessary and sufficient conditions for existence of Nash equilibria for this game under the assumption that the system as a whole is stabilizable.      Keywords: linear quadratic differential games, open-loop information structure
HUBUNGAN ANTARA KETERCAPAIAN DAN KETERKONTROLAN SISTEM LINIER KONTINU BERGANTUNG TERHADAP WAKTU Nz, Virza Gavinda; Asfa’ani, Ezhari
MAp (Mathematics and Applications) Journal Vol 1, No 2 (2019)
Publisher : Universitas Islam Negeri Imam Bonjol Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (841.418 KB) | DOI: 10.15548/map.v1i2.1178

Abstract

Sistem linier kontinu bergantung terhadap waktu merupakan suatu model yang banyak dijumpai dalam beberapa aplikasi. Artikel ini mengkaji hubungan antara ketercapaian dan keterkontrolan sistem linier kontinu bergantung waktu. Dengan menggunakan metode aljabar dibuktikan beberapa teorema agar diperoleh hubungan antara ketercapaian dan keterkontrolan sistem linier kontinu bergantung terhadap waktu. Selain itu, diberikan beberapa contoh sebagai ilustrasi untuk memperkuat keberlakuan teorema-teorema yang telah dibuktikan.AbstractContinuous time-varying linier system is a model which many peoples to find in any applications. This paper to teaching connection of reachability and controllability for continuous time-varying linear system. With algebra method we can proof any theorems to result connection of reachability and controllability for continuous time-varying linear system. Futhermore, we given any examples for illustration to be valid this theorems and this proof.
LEFT INVERTIBLE SEMIGRUP PADA RUANG HILBERT Asfa’ani, Ezhari; Hasibuan, Lilis Harianti; Jannah, Miftahul; Putri, Darvi Mailisa
MAp (Mathematics and Applications) Journal Vol 2, No 1 (2020)
Publisher : Universitas Islam Negeri Imam Bonjol Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (655.093 KB) | DOI: 10.15548/map.v2i1.1640

Abstract

Analisis Fungsional merupakan salah satu cabang dari ilmu Matematika yang membahas tentang ruang vektor serta pemetaan di antara ruang - ruang tersebut. Pada artikel ini membahas tentang semigrup pada ruang Hilbert yang dapat dibalik dan mempunyai balikan. Untuk Semigrup yang sangat kontinu pada Ruang Hilbert, disini disajikan bukti singkat dari fakta-fakta bahwa inverse kiri dari semigrup yang dapat dibalik dan dapat dipilih menjadi semigrup juga. Lebih jauh pada tulisan ini akan ditunjukkan pula bahwa semigrup ini tidak perlu unik.AbstractFunctional Analysis is one branch of Mathematics that deals with vector spaces and mapping between these spaces This article to discuss about semigroups on Hilbert Space. For strongly continous semigroups on Hilbert space, we present a short proof of the fact that the left inverse of a left invertible semigroup can be chosen to be a semigroups as well. Furthermore, we show that this semigroups need not to be unique.Keywords: three-five word(s) or phrase(s), that it’s  representative for the article.
HUBUNGAN KOMPETENSI PROFESIONALITAS DOSEN DAN INDEKS PRESTASI KUMULATIF MAHASISWA DALAM STATISTIKA Susanto, Andi; Sepriyanti, Nana; Asfa’ani, Ezhari
MAp (Mathematics and Applications) Journal Vol 2, No 2 (2020)
Publisher : Universitas Islam Negeri Imam Bonjol Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (859.441 KB) | DOI: 10.15548/map.v2i2.2268

Abstract

Penelitian ini bertujuan mengetahui pengaruh kompetensi profesionalitas dosen dan fasilitas belajar terhadap indeks prestasi kumulatif mahasiswa Program Studi Tadris Matematika FTK UIN Imam Bonjol Padang. Jenis penelitian adalah kuantitatif dengan metode deskriptif asosiatif, variabel independentnya adalah kompetensi profesionalitas dosen (x1) dan fasilitas belajar (x2) serta variabel dependentnya indeks prestasi kumulatif (y) mahasiswa. Instrumen yang pakai angket kompetensi profesionalitas dosen dan fasilitas belajar serta lembar hasil studi mahasiswa. Berdasarkan hasil pengolahan data angket ditemukan bahwa rata-rata  kompetensi profesionalitas dosen sebesar 71,48, dan fasilitas belajar  rata-rata 49,01. Indeks Prestasi Kumulatif Mahasiswa Program Studi Tadris Matematika mempunyai rata-rata 3,25. Hasil uji hipotesis menyimpulkan bahwa Kompetensi Profesionalitas Dosen berkontribusi positif dan signifikan terhadap indeks prestasi kumulatif mahasiswa Program Studi Tadris Matematika FTK UIN Imam Bonjol Padang dengan koefisien korelasi kuat sebesar 0,717. Fasilitas Belajar berkontribusi positif dan signifikan terhadap indeks prestasi kumulatif dengan koefisien korelasi rendah sebesar 0,320. Kompetensi profesionalitas dosen dan fasilitas belajar secara bersama-sama berkontribusi  positif dan signifikan terhadap indeks prestasi kumulatif mahasiswa Program Studi Tadris Matematika FTK UIN Imam Bonjol Padang dengan koefisien korelasi  kuat sebesar 0,740. Berdasarkan uji hipotesis disimpulkan bahwa kompetensi profesionalitas dosen dan fasilitas belajar berpengaruh pada indeks prestasi kumulatif mahasiswa Program Studi Tadris Matematika FTK UIN Imam Bonjol Padang.AbstractThis study aims to determine the effect of professional competence of lecturers and learning facilities on student cumulative achievement index of the Mathematics Tadris Study Program, FTK, UIN Imam Bonjol Padang. This research is quantitative with an associative descriptive method, the independent variable is the professional competence of lecturers () and learning facilities () and the dependent variable is the student cumulative achievement index (y). The research instrument is a questionnaire of professional competence of lecturers and learning facilities and student study results sheets. It was found that the average professional competence of lecturers was 71.48, and learning facilities were 49.01. The Student's Grade Point Average in the Mathematics Tadris Study Program has an average of 3.25. Hypothesis result of test concluded that the Lecturer Professional Competence contributed positively and significantly to the cumulative achievement index of the students of the Mathematics Tadris Study Program, UIN Imam Bonjol Padang with a strong correlation coefficient of 0.717. Learning facilities contribute positively and significantly to cumulative achievement index with a low correlation coefficient of 0.320. Professional competence of lecturers and learning facilities jointly contributed positively and significantly to student cumulative achievement index of Mathematics Tadris Study Program of UIN Imam Bonjol Padang with a strong correlation coefficient of 0.740. Based on the hypothesis test, it was concluded that the professional competence of lecturers and learning facilities had an effect on student cumulative achievement index of Mathematics Tadris Study Program, UIN Imam Bonjol Padang.