We introduce the notion of a Smarandache hyper (∩,∈)-ideal and Ω-reflexive in hyper K-algebra, and some related properties are given. Mathematics Subject Classification: 06F35, 03G25

Leonardo Motta [email protected] Conselheiro Furtado, J 574/50 I Helem, PA 66040-100, Hra=il The Smarandache Paradox is a very interesting paradox of logic because it has a background common sense. However, at the same time, it gets in a contradiction with itself. Although it may appear well cohesive, a careful look on the science definition and some logic can break down this paradox showing...

This paper investigates the efficiency of an alternative to ratio estimator under the super population model with uncorrelated errors and a gamma-distributed auxiliary variable. Comparisons with usual ratio and unbiased estimators are also made.

Article history: Received 25 July 2009 Accepted 3 June 2010 Available online 12 June 2010

Delfim F. 1t1. Torres [email protected] Departlnent of Mathematics University of Aveiro 3810-193 Aveiro, Portugal We study Smarandache sequences of numbers, and related problems, via a Computer Algebra. Sy::;tem. Solutions are di::;covered, and some conjectures presented. Mathematics Subject Classification 2000. llB83, 11-04, 68VV30.

In this paper we report a recurrence formula to obtain the n-th prime in terms of (n-l)th prime and as a function of Smarandache or Totient function.

In this paper we completely determine the first digit and the trailing digit of every term in the Smarandache deconstructive sequence.

‎In this work‎, ‎first the differential equation characterizing position vector‎ ‎of spacelike curve is obtained in Lorentzian plane $mathbb{L}^{2}.$ Then the‎ ‎special curves mentioned above are studied in Lorentzian plane $mathbb{L}%‎‎^{2}.$ Finally some characterizations of these special curves are given in‎ ‎$mathbb{L}^{2}.$‎