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...

Where and how did the complex genetic instruction set programmed into DNA come into existence? The genetic set may have arisen elsewhere and was transported to the Earth. If not, it arose on the Earth, and became the genetic code in a previous lifeless, physical-chemical world. Even if RNA or DNA were inserted into a lifeless world, they would not contain any genetic instructions unless each nu...

When President Bill Clinton attempted to lift the U.S. military's ban on gay and lesbian soldiers, Congress reacted by enacting a law that prohibits known homosexuals from serving in the U.S. armed forces. The official justification for the new policy is the unit cohesion rationale, the notion that if known gays and lesbians were allowed to serve, unit cohesion, performance, readiness and moral...

As the field of software development becomes more professionalized and the software development process becomes more formalized, there is a growing belief that the frontline programmer’s job is becoming—or must become, out of economic necessity—de-skilled. In this paper we show that essential aspects of the programming activity involve skills that have not been eliminated by progress in the fie...

having in mind that ir theories include fpa aspect, the main purpose of this paper is to examine the contribution of fpa in these theories. the necessity of this study become clearer when one acknowledges that fp makers should pay attention accurately to relationship between theory and practice in order to make successful rational decision in new complicated world. this enables them not only to...

We prove the failure of stable rationality for many smooth well formed weighted hypersurfaces dimension at least 3. It is in particular proved that a very general Fano hypersurface index one not stably rational.

The necessity of data interoperability is very important for the oil and gas enterprise environment. Different information systems and applications cover the range of the IT infrastructure and need to interoperate. Most of the industrial companies do not have common rational strategy for their automation. That leads to the lack of integration between purchased and implemented software that is n...