Recently added articles from Smarandache Notions Journal:

Smarandache sequences: explorations and discoveries with a Computer Algebra System.(Report)

Jan 01, 2004; Gouveia, Paulo D.F. ... Abstract We study Smarandache sequences of numbers, and related problems, via a Computer Algebra System. Solution are discovered, and some conjectures presented. Mathematics Subject Classification 2000. 11B83, 11-04, 68W30. Keywords. Smarandache ...

The palindrome concept find its applications to prime numbers.(Palindrome Studies (Part I))

Jan 01, 2004; Ibstedt, Henry ... Abstract: This article originates from a proposal by M. L. Perez of American Research Press to carry out a study on Smarandache generalized palindromes [1]. The prime numbers were chosen as a first set of numbers to apply the development of ideas and computer programs on. The study begins ...

Chains of Smarandache semifields.(Report)

Jan 01, 2004; Muktibodh, A.S. ... Abstract In this paper we have constructed two chains of semifields. All semifields in the chains are Smarandache semifields. Every member of the chain is an extension semifield of Ordered equilateral Integral triangles with Zero triangle such that it is a semivector space over ...

On numbers that are Pseudo-Smarandache and Smarandache perfect.(Report)

Jan 01, 2004; Ashbacher, Charles ... In a paper that is scheduled to be published in volume 31(3) of Journal of Recreational Mathematics, entitled "On A Generalization of Perfect Numbers" [1], Joseph L. Pe defines a generalization of the definition of perfect numbers. The standard definition is that a number n is perfect if ...

Near Pseudo Smarandache Function.

Jan 01, 2004; Vyawahare, A.W. ... Abstract. The Pseudo Smarandache Functions Z(n) are defined by David Gorski [1]. This new paper defines a new function K(n) where n [member of] N, which is a slight modification of Z(n) by adding a smallest natural number k Hence this function is "Near Pseudo ...

On the [kappa]-power, free number sequence.

Jan 01, 2004; Tianping, Zhang ... Abstract. The main purpose of this paper is to study the distribution properties of k-power free numbers, and give an interesting asymptotic formula. Key words and phrases. k-power free numbers; Mean Value; Asymptotic formula. 1. INTRODUCTION AND RESULTS ...

On the [kappa]-power complement and [kappa]-power free number sequence.

Jan 01, 2004; Weiyi, Zhu ... Abstract. The main purpose of this paper is to study the distribution properties of k-power free numbers and k-power complement numbers, and give an interesting asymptotic formula. Key words and phrases. k-power free numbers; k-power complement numbers, Mean Value; Asymptotic ...

On the 80th problem of F.Smarandache(I).

Jan 01, 2004; Xiaolin, He ... Abstract Using analytic method, this paper studies the first power mean of a(n) and its generation, and gives a mean value formula, where a(n) is the sequence in problem 80 of" only problems not solutions" which was presented by professor F.Smarandache. Keywords number-theoretic ...

On the 80th problem of F.Smarandache(II).

Jan 01, 2004; Xiaolin, He ... Abstract The main purpose of this paper is to study the first power mean of d(a(n)); [phi](a(n)) and their generations,and a sery of regular result is obtained, where [phi](n) is Euler totient funstion, d(n) is divisor function and a(n) is the sequence in problem 80 of "only problems not ...

Smarandache concatenated magic squares.(Report)

Jan 01, 2004; Karama, Muneer Jebreel ... Abstract: In this article, I present the results of investigation of Smarandache Concatenate Magic Squares formed from the magic squares, and report some conjectures. Key words: Magic Square, Smarandache Concatenate Magic Squares, Smarandache ...

Proof of Functional Smarandache Iterations.(Report)

Jan 01, 2004; Jianfeng, Zheng ... ABSTRACT: The paper makes use of method of Mathematics Analytic to prove Functional Smarandache Iterations of three kinds. Keywords and phrases. Functional iterations; fix point; limit. ********** 1. Proving Functional Smarandache Iterations of First Kind. ...

On the inferior and superior k-th power pare of a positive integer and divisor function.(Report)

Jan 01, 2004; Jianfeng, Zheng ... ABSTRACT: For any positive integer n, let a(n) and b(n) denote the inferior and superior k-th power part of n respectively. That is, a(n) denotes the largest k-th power less than or equal to n, and b(n) denotes the smallest k-th power greater than or equal to n. In this paper, we study the ...

On some recurrence type Smarandache sequences.(Report)

Jan 01, 2004; Majumdar, A.A.K. ... ABSTRACT. In this paper, we study some properties of ten recurrence type Smarandache sequences, namely, the Smarandache odd, even, prime product, square product, higher-power product, permutation, consecutive, reverse, symmetric, and pierced chain sequences. AMS (1991) Subject ...

The fulfilled Euclidean plane.(Report)

Jan 01, 2004; Vasiu, Adrian ... ABSTRACT. The fulfilled euclidean plane is the real projective plane [bar.[PI]] completed with the infinite point of its infinite line denoted [[bar.[PI]].sup.c]. This new incidence structure is a structure with neighbouring elements, in which the unicity of the line through two distinct ...

Numeros felizes e sucessoes de Smarandache: digressoes com o Maple.

Jan 01, 2004; Torres, Delfim F.M. ... Resumo Dando jus a matematica experimental, mostramos como o Maple pode ser usado na investigacao matematica de algumas questoes actualmente sem resposta na Teoria dos Numeros. A tese defendida e que os alunos de um curso de Matemetica podem facilinente usar o computador como um ...

Calculating the Smarandache numbers.(Report)

Jan 01, 2004; Perry, Jon ... Abstract The Smarandache Numbers are: 1,2,3,4,5,3,7,4,6,5,11,4,13,7,5,6,17,6,19,5,7,11,23,4,10,13,9,7,29, 5,31,8,11,17,7,6,37,19,13,5,41,7,43,11,6,23,47,6,14,10,17,13,53,9, 11,7,19,29,59,5,61,31,7,8,13,11,67,17, 23,7,71,6,73,37,10,19,11,13,79,6,9,41,83,7, ... and defined as the ...

On additive analogues of certain arithmetic functions.(Report)

Jan 01, 2004; Sandor, Jozsef ... 1. The Smarandache, Pseudo-Smarandache, resp. Smarandache-simple functions are defined as ([7], [6]) S (n) = min {m [member of] N : n|m!}, (1) Z(n) = min {m [member of] N : n| m(m + 1)/ 2 (2) [S.sub.p](n) = min{m [member of] N : [p.sup.n] |m!} for fixed ...

Recursive prime numbers.(Report)

Jan 01, 2004; Tabirca, Sabin ... Many researchers study prime numbers for the curiosities that they possess rather than the position they occupy at the foundations of Number Theory. This study may be in any numbers of areas from applications to multimedia to searching for special or unusual primes. It is truly awe ...

Smarandache sequence of Happy Cube Numbers.

Jan 01, 2004; Jebreel, Muneer ... Abstract: I have studied the Smarandache Happy Cube Numbers and I have got some interesting results and facts. I have discovered some open problems a bout the Happy Cube and Smarandache Happy Cube Numbers. Keywords: Fixed Happy Cube Number (FHCN), Cyclic Happy Cube Number ...

On the divisor product sequences.

Jan 01, 2004; Weiyi, Zhu ... ABSTRACT. The main purpose of this paper is to study the asymptotic property of the divisor product sequences, and obtain two interesting asymptotic formulas. Key words and phrases. Divisor products of n; Proper divisor products of n ; Asymptotic formula ... 1 ....