Given the positive integers m,n, solving the well known symmetric Diophantine equation xm+kyn=zm+kwn, where k is a rational number, is a challenge. By computer calculations, we show that for all integers k from 1 to 500, the Diophantine equation x6+ky3=z6+kw3 has infinitely many nontrivial (y≠w) rational solutions. Clearly, the same result holds for positive integers k whose cube-free part is n...

this paper seeks to trace some of the roots and problems of the rational view of innovation. concentrating primarily upon product innovation, we point out that the eighteenth century notion of social progress in the light of reason has gradually given an enormous impetus to a rational view of product innovation in modern organizations. we summarize several decades of research into management of...

In this paper, we present offer generation methods for negotiation among multiple agents on multiple issues where agents have no knowledge about the preferences of other agents. Most of the existing literature on non-mediated negotiation consider agents with either full information or probabilistic beliefs about the other agents preferences on the issues. However, in reality, it is usually not ...

the antibacterial agents are generally safe, but the list of possible adverse reactions is very long. adverse antibiotic reactions can involve every organ and system of the body and are frequently mistaken for signs of underlying disease. similarly, the mouth and associated structures can be affected by many antibiotic or chemicals. regarding different parts of the oral system, these reactions ...