The conformal module of conjugacy classes braids is an invariant that appeared earlier than the entropy braids, and inversely proportional to entropy. Using relation between two invariants, we give a short conceptional proof result on module. Mainly, consider situations, when serves as obstruction for existence homotopies (or isotopies) smooth objects involving respective holomorphic objects, p...

Significant physiological switches occur at birth such as the transition from fetal parallel blood flow to a two-circuit serial system with increased arterial oxygenation of blood delivered to all organs including the brain. In addition, the extra-uterine environment exposes premature infants to a host of stimuli. These events could conceivably alter the trajectory of brain development in prema...

First-principle simulations are at the heart of high-energy physics research program. They link vast data output multi-purpose detectors with fundamental theory predictions and interpretation. This review illustrates a wide range applications modern machine learning to event generation simulation-based inference, including conceptional developments driven by specific requirements particle physi...

The development of modern techniques in extracorporeal circulation is the result of the combined efforts of physiologists, physicians, and engineers. Early experimental work at the end of the 19th century was accomplished by physiologists, such as von Schröder, von Frey, and Gruber, as well as Jacobj. These scientists laid the foundation for three different artificial oxygenation devices for ex...

The paper elaborates methodological basis of collaborative networks (CN) complex adaptation. We consider challenges and underlying principles of the CN complex adaptation. Subsequently, the DIMA-methodology of the integrated CN modeling is considered. The paper ends with the presentation of the fivelevel CN complex adaptation concept and summarizing DIMA-methodology application in the CN comple...

We discuss conceptional and foundational aspects of Markov automata [22]. We place this model in the context of continuousand discrete-time Markov chains, probabilistic automata and interactive Markov chains, and provide insight into the parallel execution of such models. We further give a detailled account of the concept of relations on distributions, and discuss how this can generalise known ...