In this paper it is shown that a quantum observable algebra, the Heisenberg-Weyl algebra, is just given as the Hopf algebraic dual to the classical observable algebra over classical phase space and the Plank constant is included in this scheme of quantization as a compatible parameter living in the quantum double theory.In this sense,the quantum Yang-Baxter equation naturally appears as a neces...

Another main plank in their argument is that MMT provides a better account of syllogistic reasoning than the probability heuristics model (PHM) [5]. However, the meta-analysis [6] they report comparing PHM with MMT used accuracy as a measure but did not allow PHM to predict no valid conclusion responses. This move contradicts PHM in which no valid conclusion responses are predicted by one of it...

7 Matthew R. Hodges and George B. Richerson 8 9 Dept of Physiology, Medical College of Wisconsin, Milwaukee, WI 53226 10 11 Departments of Neurology and Cellular and Molecular Physiology, 12 Yale University, New Haven, CT 06520 13 14 Veteran’s Affairs Medical Center, West Haven, CT 06516 15 16 Address for Correspondence: 17 Matthew R. Hodges 18 BSB-504, Dept of Physiology 19 Medical College of ...

In this notes we briefly review two software frameworks that have been developed within the Autonomous Robotics and Human-machine Systems group (formerly, Human-Robot Interaction group) at the Max Plank Institute for Biological Cybernetics. Both frameworks, starting from the early versions up to the most recent releases, have been successfully employed in several works of the group, including, ...

We present suucient and necessary conditions for the convergence of Frequency Sensitive Competitive Learning (FSCL) algorithm to a local equilibrium. The nal phase of the FSCL convergence is analyzed by describing the process with a Fokker-Plank equation. The analysis parallels that by Ritter and Schulten for the KSFM algorithm. We show that the convergence conditions involve only the learning ...

In 1997, SPE published a tutorial by Plank [19] on implementing Reed-Solomon codes for erasure correction in redundant data storage systems. The motivation of this tutorial was to present these codes, which are typically described mathematically by coding theorists, in a way accessible to the programmers who need to implement them. The tutorial as published presented an information dispersal ma...

We study the evolution of non-equilibrium quantum fields from a highly excited initial state in two approaches: standard Keldysh-Schwinger diagram technique and semiclassical expansion. demonstrate explicitly that these approaches coincide if coupling constant $g$ Plank $\hbar$ are small simultaneously. Also, we discuss loop diagrams perturbative approach, which summed up by leading order term ...