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Abstract: An empirical study of Smarandache k-k additive relationships and related data is tabulated and analyzed. It leads to the conclusion that the number of Smarandache 2-2 additive relations is [...]

Abstract: An analysis of the number of relations of the type S(n)-S(n+1)-S(n+2)-S(n+3) for n This brief note on Smarandache 2-2 subtractive relationships should be seen in relation to the article [...]

In his recent paper[1], Sastry defines two triangles T(a, b, c) and T(a', b', c') to be Smarandache related if S(a) = S(a'), S(b) = S(b') and S(c) = S(c'). [...]

Byline: A. W. Moore (1) Keywords: Infinity; Paradoxes; Set theory; Aristotle; Cantor Abstract: For over two thousand years thought about the infinite was dominated by Aristotelian hostility to the idea that the infinite could be a legitimate object of mathematical study. Then Cantor's work late in the nineteenth century seemed to overturn this orthodoxy. However, by highlighting ways in which infinitude still could not be brought under the control of mathematicians, Cantor's work may in fact have reinforced the orthodoxy. Author Affiliation: (1) St. Hugh's College, Oxford, Ox2 6le, England Article History: Registration Date: 15/10/2004

Abstract In this paper, we use the elementary methods to study the properties of the infinity series [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII.] 1 [n.sup.s], where A denotes the set [...]

ABSTRACT Professor Anthony Begay of Navajo Community College influenced me in writing this paper. I enjoyed the Smarandache concatenation. The sequences shown here have been extracted from the Arizona State [...]