This paper describes two new types of winning sets in R, defined using variants of Schmidt’s game. These strong and absolute winning sets include many Diophantine sets of measure zero and first category, and have good behavior under countable intersections. Most notably, they are invariant under quasiconformal maps, while classical winning sets are not.

The goal of this paper is to transform classical absolute stability criteria into nonlinear design procedures which employ efficient numerical tools, such as LMI’s. The paper starts with an analysis of an earlier circle criterion design, and shows that its feasibility is limited by conditions on the unstable part of the zero dynamics and on the relative degree. Then, an extended circle criterio...

This tutorial paper gives a functional semantics for delta delay VHDL i e VHDL restricted to zero delay signal assignments In combination with the sequential state ments zero delay signal assignment is su cient to generate the full algorithmic ex pressibility of VHDL The restriction is useful for a formal semantics of VHDL aimed at higher levels of abstraction where real absolute and precise ti...

One general consequence of the Nernst theorem is derived, i.e., various heat capacities a thermodynamic system under different constraints approach zero as temperature approaches absolute zero. The dependence capacity any at ultra-low temperatures revealed through this consequence. Moreover, form and simplest expression systems are deduced. Some significant discussion results given. new researc...

The relationship of contaminant gas concentration distribution influence on cross diffusion character and level among temperature, humidity was obtained according to the non-equilibrium thermodynamic theory. under different were discussed, combining real temperature in building room. results show that grads vapor mass are less than zero when additional coefficient both positive or negative, oth...

The performance in finite time of a discrete heat engine with internal friction is analyzed. The working fluid of the engine is composed of an ensemble of noninteracting two level systems. External work is applied by changing the external field and thus the internal energy levels. The friction induces a minimal cycle time. The power output of the engine is optimized with respect to time allocat...

Here we extend the Madelung transformation of Schr\"{o}dinger equation into a fluid-like form to include influence an external electromagnetic field on charged particle. The vorticity fluid is then in opposite direction imposed magnetic and equal magnitude cyclotron angular frequency. When particle motion confined plane, perpendicular field, equivalent flow dynamics that zero absolute obtained ...