This paper outlines the intentions and current design behind the production of Mobius Floe, an immersive virtual reality game catered to acute and chronic pain patients. Researchers have shown that immersive virtual reality (VR) can serve as a non-pharmacological analgesic by inducing cognitive distraction in acute pain patients [Hoffman 2000]. Mobius Floe experiments with virtual reality as we...

Abstract. The energy of a simple graph G arising in chemical physics, denoted by E(G), is defined as the sum of the absolute values of eigenvalues of G. As the dimer problem and spanning trees problem in statistical physics, in this paper we propose the energy per vertex problem for lattice systems. In general for a type of lattices in statistical physics, to compute the entropy constant with t...

The authors report a combined orthodontic-surgical correction of an adult patient's malocclusion affected by Moebius Syndrome (MS). The treatment was conducted at the Dentistry Unit and the Maxillofacial Surgery Unit of the University Hospital of Parma. Treatment of malocclusion was performed after the correction of facial mimic mobility with smile surgery. The postoperative stability and ortho...

The useful terms chiral and chirality were coined by W. H. Thompson (Lord Kelvin) in 1884 and are derived from cheir, the Greek word for a hand, indeed one of the most familiar chiral objects. The simplest chiral object of the three-dimensional perceptual space is, however, the chiral three-dimensional simplex, the irregular tetrahedron. As early as 1827 the famous German mathematician August F...

A localization method in the framework of Ruckel MO theory which relies only on molecular topology, and which can be regarded to as the topological version of well established localization criteria, has been applied to the series of (n)annulenes. The calculations have been effected for both Ruckel and Mobius topologies, and several aspects of the resulting localized orbitals (homogeneity, equiv...

Abstract Data augmentation has led to substantial improvements in the performance and generalization of deep models, remains a highly adaptable method evolving model architectures varying amounts data—in particular, extremely scarce available training data. In this paper, we present novel applying Möbius transformations augment input images during training. are bijective conformal maps that gen...

The psychiatric examination was performed with diagnostic instruments for autism (DSM-IV and Childhood Autism Rating Scale-CARS) in 23 children with Möbius sequence. From the 23 patients studied with Möbius sequence, five (26.1%) met the diagnostic criteria for infantile autism according DSM-IV and two (8.6%), under two years old, showed autistic-like behavior. The scores for six children were ...

In the exploratory study reported here, we tested the efficacy of an intervention designed to train teenagers with Möbius syndrome (MS) to increase the use of alternative communication strategies (e.g., gestures) to compensate for their lack of facial expressivity. Specifically, we expected the intervention to increase the level of rapport experienced in social interactions by our participants....

We provide a simple proof of Pascal's Theorem on cyclic hexagons, as well generalization by Mobius, using hyperbolic geometry.