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RUMUS UNTUK MENENTUKAN SUKU KE-k BARISAN BILANGAN PRIMA DARI SUATU BILANGAN BULAT n Rolan Pane, Polorida, Musraini M, Asli Sirait,
SEMIRATA 2015 Prosiding Bidang Matematika
Publisher : SEMIRATA 2015

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Abstract

Fungsi penghitung prima digunakan untuk menghitung ada berapa banyak bilangan prima yang lebih kecil dari suatu bilangan bulat n. Dalam artikel ini akan diberikan  rumus fungsi penghitung prima, selanjutnya ditentukan rumus untuk menentukan suku ke-k barisan bilangan prima yang telah diperoleh tersebut. Kata kunci : Bilangan prima, barisan bilangan prima, fungsi penghitung prima
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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Abstract

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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Abstract

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.
EKSISTENSI INVERS GRUP DARI MATRIKS BLOK Riana Wendya; Rolan Pane; 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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Abstract

We discuss necessary and sufficient conditions for the existence of the group inverse of  block matrices of the forms M  and , where A, B are square matrices with . In addition, we also give two explicit forms of the considered block matrices.
FAMILI DARI METODE NEWTON-LIKE DENGAN ORDE KONVERGENSI EMPAT Nurazmi '; Supriadi Putra; 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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Abstract

This article discusses the families of Newton-Like methods derived from a combination of the secant method with Newton’s method based on the trapezoidal rule and inverse function to find a root of nonlinear equations. Analytically, it is shown that the iterative methods have the order of convergence four and for each iteration, they require four function evaluations, so the efficiency index is 1.414 which is the same as Newton’s method. Furthermore, computational results show that the iterative method is superior to the comparison methods in terms of the number of iterationsto obtain the estimated roots.
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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Abstract

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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Abstract

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.
BEBERAPA IDENTITAS PADA GENERALISASI BARISAN FIBONACCI Sri Melati; Mashadi '; 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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Abstract

We discuss some identities of generalized Fibonacci sequence, (un), which satisfies linear homogeneous recurrence relations of order two having a non-zero constant coefficient. Then given some matrices, we show that the n-power of these matrices provide some identities for Pni=0 u2i , unun+2, and Pni=0 unun+1. At the end we give generating functions for unun+1 and unun+2.
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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Abstract

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.
PREMI ASURANSI JIWA BERJANGKA NAIK DENGAN MENGGUNAKAN HUKUM DE MOIVRE Antony Wijaya; Hasriati '; Musraini '
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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Abstract

This article discusses the premium for participants whose age are   years old, who participate in increasing term life insurance program. Premium calculated are a single  premium, the annual premium, and the premium with   times payment a year. The premiums consist of a single net premium calculation, the annual net premium, and net  premium payments with   times in a year that are influenced by due life annuity and management expense insurance.  Premium calculation used in this article of actuarialassumptions is the De Moivre of law.