A construction of the noncommutative-geometric counterparts of classical classifying spaces is presented, for general compact matrix quantum structure groups. A quantum analogue of the classical concept of the classifying map is introduced and analyzed. Interrelations with the abstract algebraic theory of quantum characteristic classes are discussed. Various non-equivalent approaches to definin...

We show that the vertex algebra W1+∞ with central charge −1 is isomorphic to a tensor product of the simple W3 algebra with central charge −2 and a Heisenberg vertex algebra generated by a free bosonic field. We construct a family of irreducible modules of the W3 algebra with central charge −2 in terms of free fields and calculate the full character formulas of these modules with respect to the...

OBJECTIVE To investigate the difference in the presence of trigger points (TrPs) between patients with chronic nonspecific low back pain (LBP) and healthy people, and to determine the relationship of TrPs with the intensity of ongoing pain, disability, and sleep quality. DESIGN A cross-sectional study. SETTING The role of TrPs in LBP has not been determined. PATIENTS Forty-two patients wi...

We present a “reasonable” statement about Lie algebras that is equivalent to the Four Color Theorem.

Oxytocin (OT) has been shown to play an important role in social bonding in animals. However, it is unclear whether OT is related to inter-species social bonding. In this study, to examine the possibility that urinary OT concentrations of owners were increased by their "dog's gaze", perhaps representing social attachment to their owners, we measured urinary OT concentrations of owners before an...

This paper proposes an analysis of classifiers into four major types: unit, metric, group and species, based on properties of both Japanese and English. The analysis makes possible a uniform and straightforward treatment of noun phrases headed by classifiers in Japanese-to-English machine translation, and has been implemented in the MT system ALT-J/E. Although the analysis is based on the chara...

We report on a patient with an unusual, slowly enlarging hematoma of the left buttock. A 62-year-old man presented with a 6-year history of an enlarging mass of the left buttock. He had first noted the mass 6 years earlier and had had sciatica of the left lower limb for the last 2 months. He denied any history of antecedent trauma. The lesion extended over 3 gluteal muscles (the gluteus medius,...

We propose an optimization method for estimating patientspecific muscle fiber arrangement from clinical CT. Our approach first computes the structure tensor field to estimate local orientation, then a geometric template representing fiber arrangement is fitted using a Bspline deformation by maximizing fitness of the local orientation using a smoothness penalty. The initialization is computed wi...

this case report describes the clinical application of the coronally advanced flap procedure associated with the subepithelial connective tissue pedicle graft with palatal tunneling for the reconstruction of interproximal papillae. in this modified technique the distal end of the pedicle graft was divided into two parts, creating a bifid, which were then placed around the abutment and sutured o...