Properly Quantized History Dependent Parrondo Games, Markov Processes, and Multiplexing Circuits

In the context of quantum information theory, "quantization" of various mathematical and computational constructions is said to occur upon the replacement, at various points in the construction, of the classical randomization notion of probability distribution with higher order randomization notions from quantum mechanics such as quantum superposition with measurement. For this to be done "properly", a faithful copy of the original construction is required to exist within the new "quantum" one, just as is required when a function is extended to a larger domain. Here procedures for extending history dependent Parrondo games, Markov processes and multiplexing circuits to their "quantum" versions are analyzed from a game theoretic viewpoint, and from this viewpoint, proper quantizations developed

Transformative Learning Theory as Applied to Worship Studies

Despite extensive research regarding the application of Transformative Learning Theory in adult education, there is very little literature promoting applying these principles and practices within Christian Worship Studies. Transformative Learning Theory is an educational theory that researches and promotes perspective-changing teaching and learning. Structured educational opportunities and spiritual development through Christian worship both have the potential to be life-altering events in human experience. In each of these dimensions of learning, the final result may include a change in perspective which then leads to modified behaviors. Transformative change occurs in the life of the learner. This qualitative research study explores the effectiveness of Transformative Learning Theory as an approach to teaching Christian Worship Studies to adult lay students. Guided by the scholarly literature and research in the areas of Transformative Learning Theory, Christian Education, and Worship Studies, and in harmony with scriptural teachings regarding worship and spiritual formation, this study seeks to investigate and apply the principles and practices of Transformative Learning Theory to the teaching of Christian Worship Studies. Practical application is made possible by developing and including sample teaching materials and methods that demonstrate the utilization of the researched principles and practices. Further, this study may encourage educators to delve into the evolving field of Transformative Learning Theory in additional areas of education as they pursue their own transformative experiences

Retrospektive Analyse von interventionellen Komplikationen während und nach CT-gesteuerter Ablationstherapie von Lebertumoren an einem universitären Zentrum

Diese retrospektive Analyse untersuchte 402 Eingriffe bei 230 Patienten aus den Jahren 2013-2018 auf interventionelle Komplikationen während und nach computertomographisch-gesteuerter Ablationstherapie von Lebertumoren an einem universitärem Zentrum. Dabei wurde eine Mortalität von 0,7% ermittelt, die Minor- bzw. Majorkomplikationsrate betrug 20,9% bwz. 9,9%. Des Weiteren wurden patienten- und eingriffsspezifische Parameter auf eine signifikant höhere Komplikationsrate überprüft. Es konnte gezeigt werden, dass Werte der Gerinnungsparameter INR über 1,5, partielle Thromboplastinzeit über 40,0 Sekunden sowie eine Thrombozytenzahl unter 50 * 103/l mit signifikant mehr Blutungskomplikationen einhergehen. Zusätzlich erhöhte eine partielle Thromboplastinzeit über 40,0 Sekunden auch signifikant die Gesamtrate an Komplikationen. Da die Hauptkomplikation Blutung sehr häufig mit schwerwiegenden Konsequenzen (Clavien-Dindo-Klassifikationsgrade größer 3) für den Patienten einhergeht, sollten die Erhebung sowie die Korrektur der pathologischen Gerinnungsparameter in der präoperativen Patientenvorbereitung unabdingbar sein

All integral slopes can be Seifert fibered slopes for hyperbolic knots

Which slopes can or cannot appear as Seifert fibered slopes for hyperbolic knots in the 3-sphere S^3? It is conjectured that if r-surgery on a hyperbolic knot in S^3 yields a Seifert fiber space, then r is an integer. We show that for each integer n, there exists a tunnel number one, hyperbolic knot K_n in S^3 such that n-surgery on K_n produces a small Seifert fiber space.Comment: Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol5/agt-5-16.abs.htm

Non-factorizable Joint Probabilities and Evolutionarily Stable Strategies in the Quantum Prisoner's Dilemma Game

The well known refinement of the Nash Equilibrium (NE) called an Evolutionarily Stable Strategy (ESS) is investigated in the quantum Prisoner's Dilemma (PD) game that is played using an Einstein-Podolsky-Rosen type setting. Earlier results report that in this scheme the classical NE remains intact as the unique solution of the quantum PD game. In contrast, we show here that interestingly in this scheme a non-classical solution for the ESS emerges for the quantum PD.Comment: 9 pages, no figur