the continuum based approaches don’t provide the correct physics in atomic scales. on the other hand, the molecular based approaches are limited by the length and simulated process time. as an attractive alternative, this paper proposes the fixed interfacial multiscale method (fimm) for computationally and mathematically efficient modeling of solid structures. the approach is applicable to mult...

Regression predictors are usually entered into a model without transformation. However, it is not unusual for regression relationships to be distinctly nonlinear. Fractional polynomials account for nonlinearity through real-valued power transformations of primary predictors. Adaptive methods have been developed for searching through alternative fractional polynomials based on one or more primar...

Averting the impending harms of climate change requires to replace fossil fuels with renewables as a primary source energy. Non-electric renewable potential being limited, this implies extending use electricity generated from wind and solar beyond power sector, either by direct electrification or synthetic fuels. Modeling transformation towards such an energy system is challenging, because it i...

(1) For every macro instruction I and for every integer location a holds card(if a = 0 then I; Goto(insloc(0)) else (StopSCMFSA)) = card I +6. (2) For every macro instruction I and for every integer location a holds card(if a > 0 then I; Goto(insloc(0)) else (StopSCMFSA)) = card I +6. Let a be an integer location and let I be a macro instruction. The functor while a = 0 do I yields a macro inst...