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# Browsing UR - Student Paper Degree by Author "Gemawati, Sri"

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• (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 ...
• (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 ...
• (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 ...
• (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 ...
• (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 ...
• (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.
• (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 ...
• (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 ...
• (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 ...
• (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 ...
• (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 ...
• (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 ...
• (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 ...
• (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 . The first step ...
• (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 ...
• (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 ...
• (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 ...
• (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; ...