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1. BALANCING NUMBERS We call an Integer n e Z a balancing number if 1+ 2+ --+ (»l ) = (w + l) + (w + 2) +••• + (» + >•) (1) for some r e Z. Here r is called the balancer corresponding to the… (More)
The concepts of variational inequality problem and variational-type inequality problem are already known. In this paper, using a result of Ky Fan we present a variational-type inequality problem in a… (More)
We study the effect of correlated noise in the Gompertzian tumor growth model for non‐zero correlation time. The steady state probability distributions and average population of tumor cells are… (More)
We argue that the results published by Ai [Phys. Rev. E 67, 022903 (2003)] on "correlated noise in logistic growth" are not correct. Their conclusion that, for larger values of the correlation… (More)
Deleanu, Frei and Hilton have developed the notion of generalized Adams completion in a categorical context; they have also suggested the dual notion, namely, Adams cocompletion of an object in a… (More)
Cayley’s Theorem states that a permutation group of a group is isomorphic to the given group. We show that this permutation group is Adams completion of the group with respect to a suitably chosen… (More)