This presidential address is keyed to the exhibition "All of Us Are Related, Each of Us Is Unique." It reveals that there are no biological barriers between the 5.7 billion human beings that today inhabit the earth. We all have the same ancestors and the genetic diversity of contemporary human populations reflects the paths followed by our ancestors in the course of human migrations over the pa...

The linear-quadratic (LQ) optimization is a close to standard technique in the optimal control framework. LQ is very well researched and there are many extensions for more sophisticated scenarios like nonlinear models. Usually, the quadratic objective function is taken as a prerequisite for calculating derivative-based solutions of optimal control problems. However, it is not clear whether this...

ion, reification and the ideology

An element of a ring $R$ is called clear if it sum unit-regular and unit. associative each its elements clear.In this paper we defined rings extended many results to wider class. Finally, proved that commutative Bezout domain an elementary divisor only every full $2\times 2$ matrix over nontrivially clear.