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All Journal Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam International Journal of Computing Science and Applied Mathematics Mathematics and Applications (MAp) Journal SAINSTEK
Musraini M.
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Civil Engineering, Building, Construction & Architecture Computer Science & IT Education Electrical & Electronics Engineering Engineering Materials Science & Nanotechnology Mathematics Mechanical Engineering

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 1 
SOLUSI POLINOMIAL TAYLOR PERSAMAAN DIFERENSIAL-BEDA LINEAR DENGAN KOEFISIEN VARIABEL Nurjanah, Siti; M., Imran; M., Musraini
Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam Vol 2, No 1 (2015): Wisuda Februari 2015
Publisher : Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam

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This article discusses how to obtain the Taylor polynomial solution of a higher order linear differential and difference equation with variable coefficients whose initial conditions are known. The process begins by assuming the solution of a higher order linear differential and difference equation in the form of polynomial Taylor. Then it is followed by presenting this equation and its initial conditions in the form of a matrix. This matrix is changed into an augmented matrix. Taylor polynomialsolutions of a higher order linear differential and difference equations is obtained by solving the augmented matrix using elementary row operations.
TEOREMA PAPPUS PADA ELIPS, PARABOLA DAN HIPERBOLA Ardiansyah Yan Hakim Nasution; Sri Gemawati; Musraini M.
Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam Vol 2, No 1 (2015): Wisuda Februari 2015
Publisher : Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam

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Pappus theorem is  a  theorem that shows  collinearity of three points.  The three points are  the result of intersection lines  that  connects  any  six points. Any six points  are divided into  three points on a straight line and three points on another straight line. This paper  shows  that Pappus theorem  is  valid at  a  conic section  (ellips, parabola and hyperbola). The properties of  cross  ratio  are utilized to prove the validity of Pappus at the conic section.
MENGHITUNG DETERMINAN MATRIKS DENGAN MENGGUNAKAN METODE SALIHU Andi Bahota; Aziskhan Amri; Musraini M.
Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam Vol 1, No 2 (2014): Wisuda Oktober 2014
Publisher : Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam

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This article presents a new method to calculate order determinants. This article is a review of Salihu’s papers [Internationational Journal of Algebra, 6(19): 913917, 2012]. Some examples are presentedat the end of discussion.
INTEGRASI NUMERIK TANPA ERROR UNTUK FUNGSI-FUNGSI TERTENTU Irma Silpia; Syamsudhuha '; Musraini M.
Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam Vol 1, No 2 (2014): Wisuda Oktober 2014
Publisher : Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam

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This article discusses integration techniques based on the behavior of the integrand of certain functions, which is a review of a part of the article written by Clegg, D.B. and Richmond, A. N. [International of Mathematical Education in Science and Technology. 18: 4, 519-525 (1987)]. For certain functions which satisfy the properties of the symmetry behavior of the function, integral value obtained by this technique is exact despite the methods used are the midpoint method, trapezoidal method, Simpson’s method, and Gauss quadrature rules for two points.
MODIFIKASI APROKSIMASI TAYLOR DAN PENERAPANNYA Irpan Riski Munte; Imran M.; Musraini M.
Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam Vol 2, No 1 (2015): Wisuda Februari 2015
Publisher : Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam

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We discuss a modified Taylor approximation for functions with periodic behaviour, which is a review of article of Martin et. al published on [Journal of Computational and Applied Mathematics, 130 (2001), 91–97]. This modification is based on the work of Scheifele in obtaining a solution of a perturbed oscillator.
PEMILIHAN GRUP UNTUK KRIPTOSISTEM GTRU Abdul Hadi; Musraini Musraini; Sri Gemawati
MAp (Mathematics and Applications) Journal Vol 4, No 1 (2022)
Publisher : Universitas Islam Negeri Imam Bonjol Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15548/map.v4i1.3394

Abstract

Kriptosistem kunci publik seperti NTRU yang berdasarkan pada grup, dikenal dengan nama GTRU (Group Theory Research Unit) [1]. Dalam pengkonstruksian GTRU, tidak semua grup dapat digunakan. Hal ini disebabkan proses dekripsi pada GTRU  berhasil hanya pada grup dengan kondisi tertentu saja. Di [1], diberikan hanya dua contoh grup yang  dapat digunakan untuk mengkonstruksi GTRU, yaitu grup ${{\mathbb{Z}}^{\{{{\phi }_{i}}:1\le i\le n\}}}$ yang isomorfis dengan ${{\mathbb{Z}}^{n}}$ dan grup poly-$\mathbb{Z}$ ${{G}_{n}}={{\mathbb{Z}}^{n-3}}\times \mathcal{H}$ dimana $\mathcal{H}$ adalah grup Heisenberg Diskrit yang dapat diaplikasikan pada internet of thing (IoT). Pada tulisan ini disediakan beberapa pilihan grup lain yang dapat digunakan dan tidak dapat digunakan untuk mengkonstruksi kriptosistem GTRU. 
Analisis Hubungan Ketaksamaan Nilai Singular Pada Pemetaan Linier dan Rentang Numerik Untuk Fungsi EKsponensial Matriks M. Natsir; Asli Sirait; Musraini; Rolan Pane
Sainstek (e-Journal) Vol. 5 No. 2 (2017)
Publisher : Sekolah Tinggi Teknologi Pekanbaru

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Abstract
On the Reciprocal Sums of Generalized Fibonacci-Like Sequence Musraini M.; Rustam Efendi; Endang Lily; Noor El Goldameir; Verrel Rievaldo Wijaya
(IJCSAM) International Journal of Computing Science and Applied Mathematics Vol 9, No 1 (2023)
Publisher : Institut Teknologi Sepuluh Nopember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.12962/j24775401.v9i1.7895

Abstract

The Fibonacci and Lucas sequences have been generalized in many ways, some by preserving the initial conditions, and others by preserving the recurrence relation. One of them is defined by the relation B_n = B_{n−1} + B_{n−2}, n >= 2 with the initial condition B_0 = 2s, B_1 = s + 1 where s in Z. In this paper, we consider the reciprocal sums of B_n and B^2_n, with an established result that also involve Bn.
Co-Authors Abdul Hadi Andi Bahota Ardiansyah Yan Hakim Nasution Asli Sirait Aziskhan Amri Cecep Kusmana Endang Lily Imran M. Irma Silpia Irpan Riski Munte M. Natsir Noor El Goldameir Rolan Pane Rustam Efendi Siti Nurjanah Sri Gemawati Verrel Rievaldo Wijaya