Browsing by Author "Musraini"
Now showing 1 - 16 of 16
Results Per Page
Sort Options
Item BEBERAPA HUKUM URUTAN TERBALIK PADA INVERS GRUP DARI PERKALIAN DUA MATRIKS(2016-04-27) Elvina; Sirait, Asli; MusrainiThis paper discusses some equivalent conditions for reverse order law of group inverses of product of two matrices. Several sufficient conditions which enable both (AB)# = B(1,2)A(1,2) and (AB)# = B(1,2)A(1,2) hold are also given.Item CADANGAN ASURANSI JIWA DWIGUNA SEMIKONTINU UNTUK USIA PECAHAN DENGAN METODE NEW JERSEY(2016-04-27) Sari, Retno; Hasriati; MusrainiThis article discusses the prospective reserve using New Jersey method for prospective Semicontinuous Endownment Life Insurance. This method limits the calculation of reserves for 20 years. Semicontinuous endownment life insurance reserves calculation resolved by first determining annuities, single premium, and annual premiums with an intereset rate Vasicek and fractional age based on the assumption of the UDD.Item CADANGAN COMMISSIONERS DAN CADANGAN ILLINOIS ASURANSI JIWA DWIGUNA BERDASARKAN HUKUM MAKEHAM(2016-04-27) Wahyudi, Ridho; Pane, Rolan; MusrainiThis article discusses the commissioners reserve and Illinois reserve for endowment life insurance. Commissioners reserve and Illinois reserve are the calculation of modified premium reserve using prospective reserve and has its own premium payment period. This calculation is carried out by determining life annuity, single premium, and annual premium in advance based on Makeham’s law.Item CADANGAN PREMI ASURANSI PENSIUN UNTUK PENSIUN NORMAL PADA STATUS HIDUP GABUNGAN(2013-07-30) Silaban, Desi Nopitasari; Hasriati; MusrainiThis paper discuss the calculation of insurance premium reserve of normal pension fund, for joint life status of two pension fund insurance participants who are x and y years old. The calculation of prospective reserve value by using the value of pension benefits is based on the assumption of final salary, whole life annuity due and term annuity due for joint life status.Item KEKONVERGENAN DERET RECIPROCALS PRIMA YANG BERHUBUNGAN DENGAN BILANGAN FERMAT(2016-02-04) Apriadi; Gemawati, Sri; MusrainiIn article we study the densities of several sets connected with the Fermat numbers Fm = 22m+1. This article is a review of the article of Krizek et al. [Journal of Number Theory, 97(2001): 95-112]. In particular, the series of reciprocals of all primes divisors of Fermat numbers is proved to be convergent. The series of reciprocals of elite primes is also shown to be convergentItem MENGHITUNG BANYAKNYA BILANGAN PRIMA YANG LEBIH KECIL DARI ATAU SAMA DENGAN SUATU BILANGAN BULAT n(2016-02-04) Polorida; Sirait, Asli; MusrainiThis articel studies the explicit formula for a function to enumerate the number of primes less than or equal to n called Prime Counting Function, where n is natural number. Prime Counting Function is denoted by π(n). Explicit formula of π(n) is constructed by arithmetic function φ(n) and δ(n) with the help of notation of sum and the oor function.Item METODE TRAPESIUM NONLINEAR UNTUK MENYELESAIKAN PERSAMAAN DIFERENSIAL ORDE SATU(2016-04-27) Dodi, Rahman; MusrainiThis article discusses a class of nonlinear trapezoidal method based on the harmonic, contraharmonic, heronian, square root and centroidal mean to solve an initial value problem. The discussion includes the way to derive the formula and applying Taylor expansion to obtain the error of the methods. Computational tests using an example support the analytical results.Item MODIFIKASI METODE NEWTON DENGAN KEKONVERGENAN ORDE TIGA(2013-03-25) HP, Feby Satrya; Agusni; MusrainiIn this paper is presented a new modification of Newton’s method for solving non-linear equations. Convergence analysis of the new method shows that the method has third-order convergence. The example of the new method computation shows that the new method can compete with Newton method, Newton method with trapezoidal rule, midpoint Newton and Newton method with invers functionItem NILAI AKUMULASI ANUITAS AKHIR DENGAN ASUMSI DISTRIBUSI UNIFORM UNTUK m KALI PEMBAYARAN(2014-03-25) Kelatri, Nomi; Hasriati; MusrainiThis paper discusses the accumulated value of the immediate annuity for m times per year. The assumption of uniform distribution is used in determining the accumulated value of the immediate annuity, which is a linear approximation to the probability that the insurance participant died. The accumulated value of the annuity is influenced by cash value annuity paid by insurance participant, the interest rate, and the amount of annuity payments made by insurance participantsItem PENERAPAN TRANSFORMASI SHANK PADA METODE DEKOMPOSISI ADOMIAN UNTUK MENYELESAIKAN PERSAMAAN NONLINEAR(2014-03-25) Muliana; Syamsudhuha; MusrainiThis paper discusses an application of the Shank transformation on Adomian de-composition method to solve a nonlinear equation. Some numerical illustrations are given to show the effectiveness of this method. Numerical results show that the use of this method in solving nonlinear equations is more practical and provide better solutions compared with those obtained by the Adomian decomposition methodItem Pengembangan dan Penerapan Teorema dan Ketaksamaan Fagnano's dalam segitiga(2013-03-21) Musraini; Pane, RolanIn this paper, two concepts that are discussed are related to the relationship between the sides of any triangle with the incenter and circumcenter. On the other hand because ratio of the incenter and circumcenter and area of a triangle related to the construction of the triangle. So in this paper will also be discussed in a triangle that has the smallest perimeter.Item PREMI ASURANSI KESEHATAN DALAM STATUS HIDUP GABUNGAN(2013-07-13) Jumaniaty, Putri; Hasriati; MusrainiHealth insurance is one type of insurance products that specifically guarantees the cost of health insurance or care when participants experience health problems that caused the participants hospitalized. This paper discusses the annual premiums of term health insurance with joint life status, by previously determining the term life annuity and single premium of health insurance.Item PREMI DANA PENSIUN DENGAN METODE ENTRY AGE NORMAL PADA STATUS GABUNGAN BERDASARKAN DISTRIBUSI EKSPONENSIAL(2013-07-30) Afriani, Adhe; Hasriati; MusrainiThis paper discuss entry age normal method which is used in the calculation of pension premiums for normal retirement. The present value of annuity calculation is done first by determining the life chance of single and joint life based on exponential distribution. By determining the pension benefits of the two pension insurance participants, pension premiums on the joint life status of the two pension insurance participants can be determined.Item Rentang Numerik Untuk Fungsi Eksponensial Matriks(2017-10-31) Natsir, M; Musrainieksponensial matriks A dirielkan dalam bentuk dan rentang numerik dari didefinisikan dengan ada makalah ini dianalisis sifat-sifat dasar dari , serta analisis kasus untuk A Hermitian dan Skew HermitianItem TEKNIK BARU MENYELESAIKAN SISTEM PERSAMAAN DIFERENSIAL LINEAR ORDE SATU NONHOMOGEN(2014-03-25) Hendri, Yon; Karma, Asmara; MusrainiThis paper discusses a tecnique to solve a system of first order nonhomogeneous linear differential equations with constants-coefficient by writing it in a matrix form. Then order nonhomogeneous linear differential equations are formed which have coefficients involving matrix coefficient that have been formed and solved using variation of parameter method, hance the general solution is obtained from the differential equations discussed. This solution is focused only for andItem Workshop Pendalaman Materi Statistika dalam Pembelajaran Matematika Tingkat SMP/M,Ts di Kecamatan Tapung Kabupaten Kampar(2013-04-19) Efendi, Rustam; Harison; Haposan; MusrainiWorkshop Pendalaman Materi Statistika ini memberikan pemahaman konsep Statistika secara benar pada proses belajar mengajar dikelas pada guru bidang studi matematika, meningkatkan penguasaan materi Statistika pada guru bidang studi matematika dan memotivasi guru-guru untuk bisa berinovasi dengan mengilustrasikan dalam menyampaikan materi kepada siswa agar siswa tertarik kepada pelajaran Matematika. Kegiatan pelatihan ini dilaksanakan di SMP Negeri 6 Tapung Kecamatan Tapung Kabupaten Kampar, dalam bentuk: ceramah, diskusi dan latihan-latihan dalam menyelesaaikan berbagai bentuk persoalan yang berhubungan dengan pemahaman konsep Statistika.