Recently added articles from Scientia Magna:
On the Smarandache additive sequence.(Report)
Sep 01, 2008; Li, Fanbei ... Abstract In this paper, we use the elementary method to study the properties of the Smarandache additive sequence, and give several interesting identities for some infinite series involving the Smarandache additive sequence. Keywords Smarandache additive sequence, infinite ...
Contributions to classical differential geometry of the curves in [E.sup.3].(Report)
Sep 01, 2008; Turgut, Melih ... Abstract In this paper, a system of differential equation whose solution gives the components on the Frenet axis in [E.sup.3] is established by means of Frenet equations. In view of some special solutions of mentioned system, position vector of rectifying curves, osculating curves with ...
Almost everywhere stability of the third-ordered nonlinear system.(Report)
Sep 01, 2008; Kaiming, Wang ... Abstract In order to study the stability of the third-ordered nonlinear system, density function is constructed, and an inequality condition is obtained. When the considered system satisfies the inequality for almost all initial value, its equilibrium is asymptotically stable almost ...
On the indexes of beauty.(Report)
Sep 01, 2008; Liu, Hongyan ... Abstract For any fixed positive integer m, if there exists a positive integer n such that n = m x d(n), then m is called an index of beauty, where d(n) is the Dirichlet divisor function. In this paper, we shall prove that there exist infinite positive integers such that each of them is not ...
On the mean value of a new arithmetical function.(Report)
Sep 01, 2008; Liu, Yanyan ... Abstract For any positive integer n, let [phi](n) denotes the Euler function. That is, [phi](n) denotes the number of all positive integers not exceeding n which are relatively prime to n. g(n) denotes the smallest positive integer m such that n | [phi](n) m. The main purpose of this paper ...
A new decision making method for fuzzy multiple attribute decision making problem.(Report)
Sep 01, 2008; Wang, Qiuping ... Abstract It is proved that product of interval number and triangular fuzzy number is a trapezoidal fuzzy number. This paper transformed a multiple attribute decision making problem with attribute weight of interval number and attribute value of triangular fuzzy number into trapezoidal ...
A new Smarandache function and its elementary properties.(Report)
Sep 01, 2008; Fu, Jing ... Abstract For any positive integer n, we define a new Smarandache function G(n) as the smallest positive integer m such that [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] is divisible by n, where [phi](n) is the Euler function. The main purpose of this paper is using the elementary ...
On some congruent properties of the Smarandache numerical carpet.(Report)
Sep 01, 2008; Zhao, Yanlin ... Abstract In this paper, we use the elementary methods to study some divisibility of the Smarandache numerical carpet, and obtain two interesting congruent theorems. Keywords Divisibility, Smarandache numerical carpet, elementary method. [section] 1. Introduction and ...
On the Smarandache prime part sequences and its two conjectures.(Report)
Sep 01, 2008; Yu, Yahui ... Abstract For any positive integer n [greater than or equal to] 2, the Smarandache Inferior Prime Part {[p.sub.p](n)} is defined as the largest prime less than or equal to n; The Smarandache Superior Prime Part {[P.sub.p](n)} is defined as the smallest prime greater than or equal to n. In ...
On the continued fractions and Dirichlet L-functions.(Report)
Sep 01, 2008; Jin, Shanghai ... Abstract The main purpose of this paper is using the elementary methods to study the relationship between the continued fractions and Dirichlet L-functions, and give some interesting identities. Keywords Continued fractions, Dirichlet L-functions, identities. ...
Research on the connectivity of public transportation network based on set method.(Report)
Sep 01, 2008; Liu, Chumming ... Abstract A connectivity judgment method for public transportation network based on set idea is studied in this article. Set is successfully applied to solve the problem of connectivity judgment on multi-vertex and multi-edge situation. Search level control strategy is adapted to control ...
On the property of the Smarandache-Riemann zeta sequence.(Report)
Sep 01, 2008; Xue, Yanrong ... Abstract In this paper, some elementary methods are used to study the property of the Smarandache-Riemann zeta sequence and obtain a general result. Keywords Riemann zeta function, Smarandache-Riemann zeta sequence, positive integer. [section] 1. Introduction and ...
The system of generalized set-valued variational inclusions in q-uniformly smooth Banach spaces.(Report)
Sep 01, 2008; Chen, Baoan ... Abstract In this paper, a system of generalized set-valued variational inclusions in Banach spaces is introduced and studied, which includes many variational inclusions studied by others in recent years. By using some new and innovative techniques, several existence theorems for ...
An iterative method for (R, S)-symmetric solution of matrix equation AXB = C.(Report)
Sep 01, 2008; Liang, Maolin ... Abstract For generalized reflexive matrices R, S, i.e., [R.sup.T] = R, [R.sup.2] = I, [S.sup.T] = S, [S.sup.2] = I, matrix A is said to be (R,S)-symmetric matrix when RAS = A. In this paper, an iterative method is established for solving the matrix equation AXB = C with (R, ...
On an equation of the Smarandache function.(Report)
Sep 01, 2008; Cai, Lixiang ... Abstract For any positive integer n, let S(n) denotes the Smarandache function. The main purpose of this paper is using the elementary method to study the solvability of the equation S[(a).sup.-2] + S[(b).sup.-2] = S[(c).sup.-2], and obtain its all positive integer solutions. ...
On the Smarandache divisibility theorem.(Report)
Sep 01, 2008; Wang, Chunping ... Abstract In this paper, we used the elementary method to study the divisibility properties of the integer, and improved the Smarandache divisibility theorem. Keywords Divisibility theorem, Gauss function. [section] 1. Introduction and result Divisibility ...
Some properties of the permutation sequence.(Report)
Sep 01, 2008; Fang, Min ... Abstract The main purpose of this paper is using the elementary method to study the properties of the permutation sequence, and prove some interesting conclusions. Keywords Permutation sequence, perfect power, divisibility. [section] 1. Introduction and result ...
One problem related to the Smarandache quotients.(Report)
Sep 01, 2008; Qi, Xiaojun ... Abstract For any positive integer n [greater than or equal to] 1, the Smarandache quotients Q(n) is defined as the smallest positive integer k such that n x k is a factorial number. That is, Q(n) = min {k n x k = m!}. The main purpose of this paper is using the elementary method to study ...
The Smarandache bisymmetric determinant natural sequence.(Report)
Sep 01, 2008; Majumdar, A.A.K. ... Abstract Murthy [1] introduced the Smarandache Bisymmetric Determinant Natural Sequence. In this paper, we derive the sum of the first n terms of the sequence. Keywords The Smarandache bisymmetric determinant natural sequence, the n-th term, the sum of the first n terms. ...
On the k-power complements function of n!(Report)
Sep 01, 2008; Li, Xiaoyan ... Abstract For any fixed natural number k [greater than or equal to] 2 and any positive integer n, we call [b.sub.k](n) as a k-power complements function of n, if [b.sub.k](n) denotes the smallest positive integer such that n x [b.sub.k](n) is a perfect k-power. In this paper, we use the ...
