In this paper we solve the problem of realization of response maps for rational systems. Sufficient and necessary conditions for a response map to be realizable by a rational system are presented. The properties of rational realizations such as observability, controllability, and minimality are studied. Finally, we briefly discuss the procedures for checking observability and controllability of...

it is well-known that the behavior of soil-structure systems can be well described using a limited number of non-dimensional parameters. this is the outcome of researches based on the premise that the foundation is bonded to the ground. here, it is shown the concept can be extended to systems with foundation uplift. a set of non-dimensional parameters are introduced which controls the main feat...

let s be a locally compact topological foundation semigroup with identity and ma(s) be its semigroup algebra. in this paper, we give necessary and sufficient conditions to have abounded approximate identity in closed codimension one ideals of the semigroup algebra $m_a(s)$ of a locally compact topological foundationsemigroup with identity.

RNA-guided nucleases (RGNs) provide sequence-specific gene regulation through base-pairing interactions between a small RNA guide and target RNA or DNA. RGN systems, which include CRISPR-Cas9 and RNA interference (RNAi), hold tremendous promise as programmable tools for engineering and therapeutic purposes. However, pervasive targeting of sequences that closely resemble the intended target has ...

There can be little doubt that Rational Choice Theory (RCT) with its emphasis on the 'instrumentally rational' individual as the foundation of the political process has significantly enhanced the scope of political science. This paper details many of the areas of political science in which our understanding of events has been significantly enhanced by the application of RCT. But, in the end, RC...

RNA-guided nucleases (RGNs) provide sequence-specific gene regulation through base-pairing interactions between a small RNA guide and target RNA or DNA. RGN systems, which include CRISPR-Cas9 and RNA interference (RNAi), hold tremendous promise as programmable tools for engineering and therapeutic purposes. However, pervasive targeting of sequences that closely resemble the intended target has ...