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Browsing Mathematics by Author "Gemawati, Sri"

Browsing Mathematics by Author "Gemawati, Sri"

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  • FAKTORISASI POLINOMIAL ALJABAR DENGAN MENGGUNAKA METODE EUCLIDEAN DAN FAKTOR PERSEKUTUAN TERBESAR 
    Oktafia, Rora; Gemawati, Sri; Lily, Endang (2014-03-25)
    This article discusses a factorization of algebraic polynomial of order n using the Euclidean method and the greatest common factor. The new polynomial is equivalent to the original polynomial. The new ...
  • HUBUNGAN ANTARA BILANGAN k-LUCAS DENGAN BILANGAN k-FIBONACC 
    Oktarina, Suci; Gemawati, Sri (2017-01-19)
    This article discusses the relationship between the k-Lucas numbers and the k-Fibonacci numbers. In this article we prove the relationship between the k-Lucas numbers and the k-Fibonacci numbers. This relationship is ...
  • HUBUNGAN ANTARA BILANGAN PRIMA DAN GRUP POS 
    Abduh, Muhammad; Gemawati, Sri; Sirait, Asli (2016-04-27)
    Group perfect order subset (POS) is a group that is characterized by the number elements in the group having the same order that divides the group order. This article discusses the relationship between the properties of ...
  • HUBUNGAN BILANGAN SEMPURNA DAN BILANGAN PRIMA FIBONACCI 
    Lestari, Revi; Gemawati, Sri; Natsir, Muhammad (2016-04-27)
    This article discusses the concept of F-perfect number, that is a positive integer n such that Σ (djn;d<n) d2 = 3n. From the concept of F-perfect numbers the relation of perfect numbers n = F2k􀀀1F2k+1 and Fibonacci ...
  • KEKONVERGENAN DERET RECIPROCALS PRIMA YANG BERHUBUNGAN DENGAN BILANGAN FERMAT 
    Apriadi; Gemawati, Sri; Musraini (2016-02-04)
    In 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 ...
  • MENENTUKAN KRITERIA PRIMA BERDASARKAN KONGRUEN LUCAS 
    Putri S, Nani Anugrah; Gemawati, Sri (2017-01-18)
    This article discusses the determination of primality criterion based on Lucas congruence. The result of the primality criterion based on Lucas congruence is determined by using coefficient binomial and Lucas theorem.
  • MENENTUKAN NILAI EIGEN DAN VEKTOR EIGEN DARI MATRIKS TRIDIAGONAL PADA KASUS n GENAP 
    Purwanti, Tannia; Gemawati, Sri; Sirait, Asli (2016-04-27)
    This article discusses how to obtain eigenvalues and their corresponding eigenvectors of tridiagonal matrices of the form                            a b c a b a b c b ...
  • MENENTUKAN TURUNAN DAN SIFAT-SIFAT TURUNAN DARI FUNGSI 1/f(x) DAN h(x)/f(x) 
    Sa tri, Yuliana; Gemawati, Sri (2016-04-26)
    This article discusses n-th derivative function of the term 1/f(x) and h(x)/f(x) where f(x) ̸= 0 by applying the partition numbers of n and n-th derivative of composite function called Faa di Bruno formula. Then we present ...
  • MENGHITUNG DETERMINAN SUATU MATRIKS DENGAN MENGGUNAKAN METODE CORNICE 
    Gusriansyah; Gemawati, Sri; Sirait, Asli (2013-03-16)
    ݊ × ݊ (݊ ≥ 5) matrices by reducing their sizes by four, it is known as the Cornice Method. A determinant of matrices with the exception of the first and the last entries, the entries of the 2nd row and (݊ − 1) − ‫ݐ‬h ...
  • MENYELESAIKAN PERSAMAAN DIFFERENSIAL BILANGAN BULAT DAN BILANGAN RASIONAL 
    Meliana, Sarta; Mashadi; Gemawati, Sri (2016-02-04)
    This article discusses the derivative of an integer and a rational number, and also find the solution for the differential equation of an integer and a rational number for some cases that use Leibniz rule and factorization ...
  • MENYELESAIKAN SISTEM PERSAMAAN LINEAR FUZZY DALAM BENTUK A ~ x= y DENGAN MENGURAIKAN ~y 
    Mustika, Diana; Mashadi; Gemawati, Sri (2013-05-20)
    In this paper we solve fuzzy linear system of the form A x = y where A is a n x n nonsingular matrix, ~x is a fuzzy vector and ~y is a parameter fuzzy number. This fuzzy linear system is solved by expanding ~y into 8 ...
  • PARTISI BILANGAN p(5n + 4); p(7n + 5) DAN p(11n + 6) SECARA BERTURUT-TURUT KONGRUEN MODULO 5, 7 DAN 11 
    Akhyar, Abdul; Syamsudhuha; Gemawati, Sri (2016-05-23)
    A partition of a positive integer is the representation of the positive integer its self or sums of the other positive integers, while the partition function is the number of partitions. This article disscusses a simple ...
  • PEMBENTUKAN DIAGRAM SEMIGRUP 
    Sari, Siska Maya; Gemawati, Sri; Pane, Rolan (2013-07-19)
    In this paper, we discuss the properties of the semigroups diagram formed by a semigroup presentation. The discussion begins by giving an illustration of the semigroup diagram from a semigroup presentation P  a , b ab ...
  • PENYELESAIAN SISTEM PERSAMAAN LINEAR FUZZY TRAPESIUM 
    Yulianty, Aristina; Mashadi; Gemawati, Sri (2013-04-29)
    In this expository paper we discuss the solution of trapezoidal fuzzy linear system A~x =y with ~x and ~y which the vectors of trapezoidal fuzzy numbers developed from a paper by Nasseri and Gholami [3]. The first step ...
  • SEMIGRUP BEBAS DAN MONOID BEBAS PADA HIMPUNAN WORD 
    Sarie, Novia Yumitha; Gemawati, Sri; Pane, Rolan (2013-05-08)
    In this paper we discuss the characteristics of free semigroup and free monoid related to word set. The discussion begins with some homomorphism theorems and a criterion for freeness of semigroup and monoid. All characteristics ...
  • SIFAT-SIFAT SEMIGRUP SIMETRIS INTERVAL 
    Yusman, Rizan Febri; Gemawati, Sri; Sirait, Asli (2013-03-26)
    Interval set is a set from an object whose elements consist of intervals. A set of all one-to-one and onto mappings from interval set to the other for all with composition operation which from a semigrup is called interval ...
  • SOLUSI REFLEKSIF DAN ANTI-REFLEKSIF DARI PERSAMAAN MATRIKS AX = B 
    Arrohman; Gemawati, Sri; Sirait, Asli (2016-02-04)
    This article studies the necessary and sufficient conditions to determine the solutions of the matrix equation AX=B, which can be either reflexive and anti-reflexive matrix. An n × n complex matrix A is said to be a ...
  • SYARAT PERLU DAN SYARAT CUKUP MATRIKS CLEAN PADA M2(Z) 
    Rohmah, Miftakhul; Gemawati, Sri; Sirait, Asli (2016-04-27)
    An n×n matrix over a commutative ring with identity is clean if it is the sum of an idempotent matrix and unit. This paper discusses necessary and sufficient criteria for 2 × 2 matrix A = [ a b c d ] , where a; b; ...

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