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CHARACTERIZATION OF ASP-PAIRS
Selvam Avadayappan*, M. Bhuvaneshwari, A. Regina Mary

Published in: International Journal of Scientific Review and Research in Engineering and Technology
Volume- 1, Issue-3, pp.64-70, Apr 2016
DPI :-> 16.10069.IJSRRET.2016.V1I3.6470.1304



Abstract
Two pairs of integers (a,b) and (c,d) are said to be copairs if the addition of their product with their sum equals that of the other, that is, if a+b+ab = c+d+cd. They are said to be dual copairs if both have same difference between their product and their sum, that is, if a+b+cd = c+d+ab. In this paper, we introduce a similar collection of pairs. Two ordered pairs of integers (a,b) and (c,d) are said to be Addition of Subtraction with Product pairs (or simply ASP-pairs), if the sum of their product with their subtracted value equals that of the other, that is, if a-b+ab = c-d+cd. In this paper, we derive the relationship between copairs, dual copairs and ASP-pairs. Also we characterize and enumerate all such ASP-pairs.

Key-Words / Index Term
copairs, dual copairs, ASP-pairs

How to cite this article
Selvam Avadayappan*, M. Bhuvaneshwari, A. Regina Mary , “CHARACTERIZATION OF ASP-PAIRS”, International Journal of Scientific Review and Research in Engineering and Technology, 1, Issue-3, pp.64-70, Apr 2016. DPI:16.10069.IJSRRET.V1.I3.1304