A Smarandache multi-space is a union of n spaces A1, A2, · · · , An with some additional conditions holding. Combining Smarandache multispaces with rings in classical ring theory, the conception of multi-ring spaces is introduced. Some characteristics of a multi-ring space are obtained in this paper

The Pseudo-Smarandache Function is part of number theory. The function comes from the Smarandache Function. The Pseudo-Smarandache Function is represented by Z(n) where n represents any natural number. The value for a given Z(n) is the smallest integer such that 1+2+3+ . . . + Z(n) is divisible by n. Within the Pseudo-Smarandache Function, there are several formulas which make it easier to find...

The aim of this article is to propose a Java concurrent program for the Smarandache fimction based on the equation sept' ..... p:.) = max{s(p~' ), ... ,S(p:·)}. Some results concerning the theoretical complexity of this program are proposed. Fmally, the experimental results of the sequential and Java programs are given in order to demonstrate the efficiency of the conament implementation. 1. IN...

For any fixed positive integer n, the Smarandache ceil function of order k is denoted by N∗ → N and has the following definition: Sk(n) = min{x ∈ N : n | x}, ∀n ∈ N∗. In this paper, we study the mean value properties of the Smarandache ceil function, and give a sharp asymptotic formula for it.

A Smarandache multi-space is a union of n spaces A1, A2, · · · , An with some additional conditions holding. Combining Smarandache multi-spaces with classical metric spaces, the conception of multi-metric spaces is introduced. Some characteristics of multimetric spaces are obtained and the Banach’s fixed-point theorem is generalized in this paper.

All kinds of things can be found among integer sequences, including the weird and nonsensical. Enter Smarandache sequences (S. sequences, for short), which are integer sequences due to Florentin Smarandache and his disciples. Some S. sequence are related to number-theoretic topics. Others, at first glance (second, third, ...) seem downright silly. An example is the progressive concatenation of ...

On 2005, F. Smarandache generalized the Atanassov’s intuitionistic fuzzy setsto neutrosophic sets. Also, this author and some co-workers introduced the notion of interval neutrosophic set, which is an instance of neutrosophic set and studied various properties. The notion of neutrosophic topology on the non-standard interval is also due to Smarandache. We study in this paper relations between i...

A pseudo-Euclidean space, or Smarandache space is a pair (Rn, ω|− → O ). In this paper, considering the time scale concept on Smarandache space with ω|− → O (u) = 0 for ∀u ∈ E, i.e., the Euclidean space, we introduce the tangent vector and some properties according to directional derivative, the delta differentiable vector fields on regular curve parameterized by time scales and the Jacobian ma...