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...

Bauer and Itzykson showed that associated to each labeled map embedded on an oriented Riemann surface there was a group generated by a pair of permutations. From this result an algorithm may be constructed for enumerating labeled maps, and this construction is easily augmented to bin the numbers by the genus of the surface the map is embedded in. The results agree with the calculations of Harer...

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...

purpose: to describe three cases of exotropic mobius syndrome and to report outcomes of the surgical intervention. case reports: three patients including two boys and one girl were referred to our strabismus clinic. all had masked faces and non-progressive congenital bilateral facial palsy and dry eye. other abnormalities included large angle exotropia and bilateral horizontal gaze palsy. surgi...

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...

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

Interpreting the Role of Iranian Introverted Houses' Architecture based on Mental Perspective in Narrative Life (Emphasis Resurrection Memory and Mobius Theory)